) + 3*i(v). Factor k(a).
3*(a + 1)*(a + 8)
Let w = -3344185/11 + 304017. Solve w*m**2 - 10/11*m + 8/11 = 0 for m.
1, 4
Suppose 5*o + q + 178 - 64 = 0, 88 = -4*o - 4*q. Let l be 32 + o + 2*-3. Suppose 10/9*k**4 - 8/9 - 2/9*k**5 - 2/9*k**2 - 14/9*k**l + 16/9*k = 0. What is k?
-1, 1, 2
Let i(r) be the second derivative of 12*r**2 + 4/5*r**6 + 19/2*r**4 - 1/14*r**7 - 14*r**3 + 0 + 51*r - 15/4*r**5. Factor i(q).
-3*(q - 2)**3*(q - 1)**2
Let a be (4 - -1)*24/10. Suppose -7*x - 45 = -a*x. Solve -x - 25*r + 2 - 13 - 5*r**2 = 0.
-4, -1
Find p such that -312*p**2 - 3 + 147*p**4 - 180*p + 1277*p**2 - 539*p**2 - 420*p**3 + 30 = 0.
3/7, 1
Let g(u) be the first derivative of 28 + 1250/9*u + 2/27*u**3 - 50/9*u**2. Factor g(f).
2*(f - 25)**2/9
Suppose -240218*y + 240094*y + 372 = 0. Suppose -1/2*d**5 - 25 + 5*d**3 - 26*d**2 - 105/2*d + y*d**4 = 0. Calculate d.
-2, -1, 5
Let z(k) be the third derivative of -k**5/30 + 7*k**4 - 83*k**3/3 + 497*k**2. Factor z(i).
-2*(i - 83)*(i - 1)
Let i(r) be the second derivative of r**4/6 + 445*r**3/3 - 894*r**2 - 11*r + 314. Factor i(z).
2*(z - 2)*(z + 447)
Let p(z) be the third derivative of 5*z**7/28 - 21*z**6/8 + 57*z**5/5 - 79*z**4/8 + 15*z**3/4 - z**2 - 27*z + 32. What is r in p(r) = 0?
1/5, 3, 5
Let t be 0/(-1*(2 + 0)). Suppose -10*l = 5*j - 9*l - 244, -j + 64 = 4*l. Find b, given that 4*b**4 - 23*b + j*b**2 + 0*b**4 + t*b**3 - 9*b - 24*b**3 = 0.
0, 2
Suppose 0 = -3*r + 3, -3*s - 77*r + 78*r = 1. Let m(z) be the second derivative of 0*z**2 + s*z**3 + 0 + 1/5*z**5 - 9*z + 0*z**4. Factor m(c).
4*c**3
Suppose 0 = -2*s + 4*i + 8, -5*i = s + 6 - 3. Find u, given that -8*u**3 - 23*u**3 - 25*u - 4*u**3 + 5*u**4 + 55*u**s = 0.
0, 1, 5
Let a(n) be the first derivative of -n**3/4 - 3*n**2/8 + 3*n/2 - 1376. Find p such that a(p) = 0.
-2, 1
Let q(n) be the third derivative of -2 + 3/40*n**6 - 3/8*n**4 - 13*n**2 + 0*n - 1/4*n**5 + 2*n**3 + 1/70*n**7. What is l in q(l) = 0?
-4, -1, 1
Let u(g) = 27*g**2 - 189*g - 2035. Let o(d) = 5*d**2 - d + 1. Let t(i) = 10*o(i) - 2*u(i). Suppose t(j) = 0. Calculate j.
-10, 102
Let o be 13/(-1)*(7 - (-966)/(-182) - 2). Solve -27/4*a**3 - 19/4*a**2 + 0 + a**5 - a - 2*a**o = 0 for a.
-1, -1/2, 0, 4
Let g(k) = 55*k**4 - 212*k**3 + 1782*k**2 - 4752*k + 4107. Let o(z) = -36*z**4 + 212*z**3 - 1782*z**2 + 4752*z - 4106. Let x(b) = 2*g(b) + 3*o(b). Factor x(f).
2*(f - 3)**2*(f - 2)*(f + 114)
Let u(w) be the first derivative of 2*w**6/3 + 12*w**5 + 63*w**4 + 108*w**3 + 78. Let u(n) = 0. Calculate n.
-9, -3, 0
Suppose -l - 9*l + 45 = -3*a - 7*l, 17*l - 289 = 0. Factor 2/3*g**3 + 19/2*g - 14/3*g**a - 6.
(g - 4)*(2*g - 3)**2/6
Suppose -310 = -23*l + 472. Suppose -l*p + 102 = -0*p. Factor -2/3*w**4 + 0*w + 0 + 4/3*w**2 + 2/3*w**p.
-2*w**2*(w - 2)*(w + 1)/3
Let d(q) be the second derivative of q**6/6 - 5*q**5/4 - 140*q**4/3 - 490*q**3/3 - 1019*q. Determine m so that d(m) = 0.
-7, -2, 0, 14
Let a(k) be the third derivative of -k**5/180 + 365*k**4/72 - 521*k**2. Factor a(l).
-l*(l - 365)/3
Determine x, given that 110592 + 168*x**2 - 2007*x - 6350*x + 195*x**2 + 1121*x - 5436*x = 0.
192/11
Let l(j) be the second derivative of -j**5/12 - 25*j**4/24 - 5*j**3 - j**2/2 - 14*j. Let x(y) be the first derivative of l(y). Factor x(f).
-5*(f + 2)*(f + 3)
Suppose 3*j - 31 = -5*i, 2*i = 13 - 3. Determine y so that -18*y + 41 + y**2 + 0*y**j + 0 + 4 = 0.
3, 15
Let g be ((-11 - -3)/(-4))/((-16)/(-24)). Determine t so that -18 + 2*t**5 + 10*t**4 - 6*t**3 + 20*t**2 - 12*t**4 + 2*t**g + 18*t - 16*t**3 = 0.
-3, -1, 1, 3
Let s(w) be the third derivative of w**6/300 - 8*w**5/75 - 77*w**4/60 - 4*w**3 + w**2 + 1549*w. Factor s(n).
2*(n - 20)*(n + 1)*(n + 3)/5
Let i(j) be the third derivative of -5*j**8/336 - j**7/6 + j**6/12 + 23*j**5/6 - 325*j**4/24 + 125*j**3/6 - 62*j**2. Factor i(w).
-5*(w - 1)**3*(w + 5)**2
Solve 135*f - 9/2*f**4 - 54*f**2 - 39*f**3 - 75/2 = 0.
-5, 1/3, 1
Let d be 1/(-2)*0/151. Let u(c) be the first derivative of d*c**4 - 18/7*c**2 - 22/21*c**3 - 16/7*c + 2/35*c**5 + 6. Find k, given that u(k) = 0.
-2, -1, 4
Let s be ((-14)/(-28))/(1/6). Find v such that 985*v**s + 4*v**4 + 28*v**2 - 32 - 1009*v**3 + 5*v + 27*v - 8*v = 0.
-1, 1, 2, 4
Let n be ((-38)/(-475))/((-20)/(-110) - 12/(-55)). Solve -9/5*g - 14/5 - n*g**2 = 0.
-7, -2
Let v be -38 + 87 - (5 + -2). Suppose -38*z**3 + 40*z**2 - 12 + 27*z**3 + 29*z**3 - v*z = 0. Calculate z.
-3, -2/9, 1
Let m be (186 + (-180700)/973)/(6/(-14) + 1). Solve -9/2*s**2 + 0 - m*s**3 - 4*s = 0.
-8, -1, 0
Suppose -124*f**2 - 30*f**3 - 184/3*f + 54*f**4 - 16/3 = 0. What is f?
-2/3, -1/9, 2
Suppose 487 = 6*o + 259. Factor 18*p**2 - 17*p**2 + o - 20 - 9*p.
(p - 6)*(p - 3)
Suppose 0 = 53*b + 54 - 266. Let t(u) be the second derivative of 1/90*u**b + 0 - 4*u - 4/15*u**2 + 0*u**3. Factor t(y).
2*(y - 2)*(y + 2)/15
Let f = -564802 + 273364895/484. Let l = f - 1/484. Suppose -3/2*n**2 + l*n**3 - 3/2*n + 3/2 = 0. What is n?
-1, 1
Suppose 12*d + 2*d = 14. Suppose -65*b - d = -1. Factor 0 - 2/9*a**3 + 0*a**2 + 2/9*a**5 + b*a + 0*a**4.
2*a**3*(a - 1)*(a + 1)/9
Let w be (-1)/2 + 45/10. Factor -2*a + 5*a + w*a - 4*a**3 + a + 4*a**2.
-4*a*(a - 2)*(a + 1)
Let a(r) be the first derivative of -2*r**5/15 + 7*r**4/3 - 106*r**3/9 + 16*r**2/3 + 56*r + 5334. Solve a(s) = 0 for s.
-1, 2, 6, 7
Let a(f) = 11*f**4 - 11*f**3 - 2*f**2 - 4. Let l(g) = -9*g**4 + 9*g**3 + 3*g**2 + 3. Let o(k) = 3*a(k) + 4*l(k). Suppose o(h) = 0. What is h?
-1, 0, 2
Let t(p) be the first derivative of 5/6*p**4 - 4 + 1/12*p**5 + 10/3*p**3 + 0*p - 39/2*p**2. Let c(z) be the second derivative of t(z). Solve c(j) = 0.
-2
Suppose 0 = 59*g - 42*g - 255. Suppose 5*s - y = 25, 16*s - y + g = 19*s. Solve 3*j**4 + 0*j + 4/3*j**s + 1/3*j**2 + 2*j**3 + 0 = 0 for j.
-1, -1/4, 0
Suppose -2*l + 0*d + 7 = -3*d, l = d + 3. Factor -152*y**3 - 4*y**l + 148*y**3 - 2*y + 0*y**4 - y**4 - y**2.
-y*(y + 1)**2*(y + 2)
Suppose -9*f + 2*f = -105. Suppose 180*s**3 + 170*s**2 + 37*s**5 - f*s**5 + 21*s**4 + 55*s + 49*s**4 - 17*s**5 = 0. What is s?
-11, -1, 0
Let a(o) be the second derivative of 0 + 0*o**2 + 0*o**3 + 62*o - 1/70*o**5 + 1/14*o**4. Factor a(c).
-2*c**2*(c - 3)/7
Let l(f) = -3*f**2 + 18*f - 45. Let s be l(3). Let g be 29 + -23 + 100/s. Factor 2/3 - 2/9*j**2 + g*j.
-2*(j - 3)*(j + 1)/9
Determine t so that -11305*t + 54473 - 71*t**2 + 826*t**2 - 14048 + 5*t**3 = 0.
-165, 7
Let c(w) = -3*w**4 + w**3 + 2*w**2 - 4*w + 1. Let l(t) = 16*t**4 + 13*t**3 + 59*t**2 - 68*t - 5. Let a(k) = -10*c(k) - 2*l(k). Factor a(q).
-2*q*(q - 1)*(q + 8)*(q + 11)
Let y(q) be the first derivative of 5*q**3/3 - 565*q**2/2 - 1879. Factor y(p).
5*p*(p - 113)
Let g(p) = 27*p**4 + 501*p**3 + 232*p**2 + 20*p + 5. Let s(q) = q**4 - q**3 + 2*q**2 + 2*q - 1. Let b(t) = -g(t) - 5*s(t). Factor b(k).
-2*k*(k + 15)*(4*k + 1)**2
Let g(h) be the first derivative of 1/3*h**3 - 27/2*h**2 + 0*h + 186. Factor g(o).
o*(o - 27)
Let o(c) be the first derivative of 0*c**2 - 6 + 0*c**4 + 1/20*c**5 - 10*c - 1/6*c**3. Let a(n) be the first derivative of o(n). Factor a(w).
w*(w - 1)*(w + 1)
Suppose 88 = -a + 92. Suppose 604*s - 299*s - 305*s - 5*s**a + 5*s**2 = 0. What is s?
-1, 0, 1
Let n(c) be the second derivative of 1/3*c**3 + 1/3*c**4 + 0*c**5 + 0*c**2 - 2/15*c**6 + 37*c + 0 - 1/21*c**7. Determine v, given that n(v) = 0.
-1, 0, 1
Factor -13428/7*p**2 - 5604672636/7 + 15025932/7*p + 4/7*p**3.
4*(p - 1119)**3/7
Let b(i) be the second derivative of -7*i**5/5 - 1027*i**4/3 + 196*i**3 - 831*i. Suppose b(o) = 0. Calculate o.
-147, 0, 2/7
Factor 224*g**2 - 1520*g + 145*g**2 + 20*g**3 + 70 + 367*g**2 - 144*g**2 + 442.
4*(g - 2)*(g + 32)*(5*g - 2)
Solve -1/3*s + 6*s**2 + 1/3*s**3 - 6 = 0 for s.
-18, -1, 1
Let z(x) = x**2 - 411*x - 4022. Suppose -2*p + 2*h = 26, -13*p = -11*p + h + 20. Let y(r) = -r**2 + 206*r + 2012. Let l(t) = p*y(t) - 6*z(t). Factor l(w).
5*(w + 20)**2
Let f(a) be the third derivative of -a**7/420 - 2*a**6/45 + 3*a**5/20 - 81*a**3/2 - a**2 - 20. Let b(v) be the first derivative of f(v). Factor b(p).
-2*p*(p - 1)*(p + 9)
Suppose -112/3 + 2/9*x**3 + 28/9*x**2 - 310/9*x = 0. What is x?
-21, -1, 8
Let l(r) be the second derivative of -2*r + 2/5*r**2 - 1/15*r**4 + 1/25*r**5 - 52 - 2/15*r**3. Let l(x) = 0. What is x?
-1, 1
Let t(j) be the second derivative of j**4/15 + 164*j**3/3 - 822*j**2/