+ 108)*(5*k + 2)/2
Let q(x) = 5*x**3 + 32*x**2 + 27*x - 52. Let m(y) = -10*y**3 - 65*y**2 - 56*y + 104. Let t(z) = -4*m(z) - 9*q(z). Let t(p) = 0. What is p?
-4, -13/5, 1
Let g(f) = 7*f**3 + 26*f**2 - 3*f - 6. Let y(l) = 19*l**3 + 77*l**2 - 11*l - 17. Let h(x) = -17*g(x) + 6*y(x). Factor h(u).
-5*u*(u - 3)*(u - 1)
Let r(x) = -33*x**2 - 588*x + 87618. Let t(h) = 149*h**2 + 2350*h - 350473. Let d(q) = 9*r(q) + 2*t(q). Factor d(y).
(y - 296)**2
Let s = -97 - -88. Let q be (-3)/s*9 - 2/2. Factor 25*b**4 - 23*b**4 - 3*b**3 + 27*b**3 - 8*b**q - 12*b**4.
-2*b**2*(b - 2)*(5*b - 2)
Let x(i) be the third derivative of -i**7/420 - 23*i**6/240 - 37*i**5/40 - 51*i**4/16 + 11*i**2 + 212*i. Suppose x(d) = 0. Calculate d.
-17, -3, 0
Suppose -41*o - 31*o + 8*o = 0. Let j(l) be the first derivative of 0*l**2 + 1/3*l**3 + o*l + 1/12*l**6 + 10 - 3/8*l**4 + 0*l**5. Determine c so that j(c) = 0.
-2, 0, 1
Let n(x) = -x**3 + 7*x**2 + x + 1. Let o(z) = -z**4 - 18*z**3 + 49*z**2 + 26*z + 8. Let d(r) = 24*n(r) - 3*o(r). Let d(i) = 0. Calculate i.
-9, -2, 0, 1
What is d in -108*d**2 - 301*d - 300 + 95*d**2 + 12*d**2 = 0?
-300, -1
Let h(x) be the third derivative of -x**5/60 + 10*x**4/3 - 12*x**2 - 16*x. Factor h(f).
-f*(f - 80)
Let x = 285 - 295. Let w(c) = 22*c + 220. Let j be w(x). Solve 3/7*a**2 + j + 3/7*a = 0 for a.
-1, 0
Let k(p) = -63*p + 3 + 57*p - 8 - p**2. Let i be k(-3). Determine n so that -2*n**2 + 22*n**3 + 15*n**4 - i*n**2 - 7*n**4 = 0.
-3, 0, 1/4
What is o in -113*o**2 - 680*o + 230*o - 114*o**2 + 52*o**3 + 96*o**2 + 11*o**2 + 8*o**4 - 2*o**5 = 0?
-3, 0, 5
Suppose 8*j - 552 = -0*j. Let h = j - 51. Factor -58*w + 44 + 10*w**2 + h*w - 20*w**2 + 6*w**2.
-4*(w - 1)*(w + 11)
Let i = -908 + 4394. Suppose 2*n**3 - 3488*n**2 - n**3 - 3*n**5 + 2*n**4 + i*n**2 + 2*n**3 = 0. What is n?
-1, 0, 2/3, 1
Let r(g) be the first derivative of g**5/12 - 65*g**4/8 - 145*g**2/2 - 33. Let p(h) be the second derivative of r(h). Factor p(m).
5*m*(m - 39)
Let g = 383 - 379. Let u(k) be the second derivative of -21*k + 1/60*k**5 + 0 + 1/45*k**6 + 0*k**2 + 0*k**3 + 0*k**g + 1/126*k**7. Factor u(i).
i**3*(i + 1)**2/3
Let h = 28 + -25. Let x be 7 - h - (-1 - 0). Determine s so that 26*s - 2*s + 0*s**5 - 36 - 3*s**x - 21*s**3 + 15*s**4 - 3*s**2 + 24 = 0.
-1, 1, 2
Let f = 203782/61131 + -4/20377. Factor -32/3*q + 20 - 299/3*q**2 + f*q**3.
(q - 30)*(2*q + 1)*(5*q - 2)/3
Let c(t) be the third derivative of t**7/70 - 3*t**6/5 + 51*t**5/10 - 17*t**4 + 57*t**3/2 + 1450*t**2. Determine x, given that c(x) = 0.
1, 3, 19
Let y(a) be the first derivative of 2*a**3/15 + 277*a**2/5 + 182. Factor y(b).
2*b*(b + 277)/5
Suppose 2*x + 40 = -3*x. Let j = x - -17. Factor -2*p**2 + 4 + 4 + j*p - 3*p.
-2*(p - 4)*(p + 1)
Let s = 563904 - 2255607/4. Let 0 + 0*n**4 + 3/4*n**5 + 0*n - 3/2*n**2 - s*n**3 = 0. What is n?
-1, 0, 2
Let q = 3014/2411 - 1/9644. Let x = 4513/8 - 561. Factor -x - q*c - 1/8*c**2.
-(c + 5)**2/8
Let c(z) be the second derivative of z**4/36 + 155*z**3/6 + 232*z**2/3 + 57*z - 26. Factor c(h).
(h + 1)*(h + 464)/3
Let p(o) be the second derivative of -81*o + 0 + 0*o**3 + 0*o**4 - 1/28*o**7 + 0*o**2 - 3/10*o**6 - 3/5*o**5. Solve p(y) = 0.
-4, -2, 0
Let z(p) be the first derivative of -p**6/420 - p**5/210 + 4*p**4/21 - 20*p**3/21 - 35*p**2 + 61. Let o(i) be the second derivative of z(i). Factor o(j).
-2*(j - 2)**2*(j + 5)/7
Let s be 358/63 + (-7540)/6786. Factor 64/7*y + 4/7*y**3 + 0 - s*y**2.
4*y*(y - 4)**2/7
Factor -38 - 189/2*d + 1/4*d**4 - 299/4*d**2 - 18*d**3.
(d - 76)*(d + 1)**2*(d + 2)/4
Let p(g) be the third derivative of 0*g**3 + 39*g**2 + 0 + 1/2*g**5 + g**4 + 2*g + 1/140*g**7 + 1/10*g**6. Factor p(d).
3*d*(d + 2)**2*(d + 4)/2
Let n(q) be the second derivative of -2*q**6/15 + 3*q**5/5 + 16*q**4/3 + 8*q**3 - 4272*q. Factor n(u).
-4*u*(u - 6)*(u + 1)*(u + 2)
Let p be ((-39)/(-2))/(-1)*1404/(-13689). Suppose 89/3*g + 1/2*g**p + 59/6 = 0. What is g?
-59, -1/3
Let r = -41 - -33. Let i be (2/r)/((-16)/192). Factor 4*j**2 + i*j + j - 8*j**3 - 4*j**4 + 2*j**3 + 2*j**3.
-4*j*(j - 1)*(j + 1)**2
Let x(w) be the second derivative of -w**6/20 + 9*w**5/4 - 289*w**4/8 + 195*w**3 + 825*w**2 - 301*w + 1. Solve x(u) = 0 for u.
-1, 10, 11
Let x(v) = 4*v**2 + 3*v. Let q(s) = 16*s**2 - 189*s - 1640. Let f(o) = -q(o) + 5*x(o). Factor f(b).
4*(b + 10)*(b + 41)
Suppose -4*v = 5*t - 68, -32 = t + v - 49. Find h, given that t + 1089/2*h - 33*h**2 + 1/2*h**3 = 0.
0, 33
Let v(s) be the second derivative of 11*s + 3 + 7/27*s**3 + 0*s**2 + 1/18*s**5 + 1/135*s**6 - 13/54*s**4. Solve v(i) = 0 for i.
-7, 0, 1
Let v(m) = 235*m**5 + 530*m**4 + 80*m**3 + 55*m. Let a = 51 + 4. Let w(p) = -26*p**5 - 59*p**4 - 9*p**3 - 6*p. Let l(z) = a*w(z) + 6*v(z). Factor l(d).
-5*d**3*(d + 3)*(4*d + 1)
Solve -120/13*r**2 + 30/13*r**4 + 2/13*r**5 + 0 - 40/13*r**3 + 128/13*r = 0.
-16, -2, 0, 1, 2
Factor -72 - 258/7*z**2 - 760/7*z - 2/7*z**3.
-2*(z + 1)*(z + 2)*(z + 126)/7
Let f(a) be the first derivative of a**5/20 - 3*a**4/16 - 5*a**3/6 + 3*a**2 + 2681. Factor f(b).
b*(b - 4)*(b - 2)*(b + 3)/4
Suppose -x - 3*u + 18 = 0, 16*x - 17*x + 5*u = -34. Suppose -33*f = -x*f - 45. Let 0*v - 6/5*v**f - 2/5*v**2 + 6/5*v**3 + 2/5*v**4 + 0 = 0. Calculate v.
-1, 0, 1/3, 1
Factor -74*x - 2*x**2 + 7143 + 3*x**2 - 5774 + 0*x**2.
(x - 37)**2
Let i = -387 + 395. Suppose l = i*l. Factor -5/4*o**2 + l - 1/4*o - o**3.
-o*(o + 1)*(4*o + 1)/4
Let d(f) be the third derivative of 11*f**4/24 - 107*f**3/3 - 3*f**2 - 13*f. Let o be d(20). Solve 20/3 - 2/3*q**2 + o*q = 0.
-1, 10
Let m = -2904971/3 + 968325. Factor 0 + 4*p - m*p**2.
-4*p*(p - 3)/3
Let q(z) be the second derivative of z**7/147 - 19*z**6/105 + 57*z**5/35 - 92*z**4/21 - 416*z**3/21 + 1152*z**2/7 + 2*z - 285. Factor q(x).
2*(x - 9)*(x - 4)**3*(x + 2)/7
Suppose -1775 = 14*i + 11*i. Let v = i - -356/5. Factor v*j**2 + 0*j + 0.
j**2/5
Factor 2596/7*r - 2/7*r**2 - 842402/7.
-2*(r - 649)**2/7
Find n such that -4049 - 3669 - 245*n - 11710*n - 10*n**2 + 252 + 1491 = 0.
-1195, -1/2
Let o be (5 + (-12)/4)/((-2)/(-94)). Let l = 96 - o. Find r, given that -4*r**2 + 6 - 78 - 24*r + 2*r**l = 0.
-6
Factor 2/3*j**3 + 658/3*j**2 - 18150 + 17930*j.
2*(j - 1)*(j + 165)**2/3
Let -90/7*q + 8/7 + 22/7*q**2 = 0. Calculate q.
1/11, 4
Factor -11299 - 84*i**2 + 9895 + 80*i**2 - 160*i.
-4*(i + 13)*(i + 27)
Let q(y) be the third derivative of y**7/280 - 13*y**6/180 + y**5/8 + y**4/3 - 247*y**3/6 + 12*y**2 + 2. Let u(m) be the first derivative of q(m). Factor u(c).
(c - 8)*(c - 1)*(3*c + 1)
Let l(k) be the first derivative of -2*k**5/5 - 25*k**4/2 - 44*k**3 + 4*k**2 + 176*k - 487. Let l(x) = 0. What is x?
-22, -2, 1
Factor -26/3*x - 103/3*x**2 + 0 + 4/3*x**4 - 100/3*x**3.
x*(x - 26)*(2*x + 1)**2/3
Let r(d) be the second derivative of -d**7/21 + 2*d**6/5 + 8*d**5/5 - 53*d**4/3 - 5*d**3 + 100*d**2 - d + 3870. Determine o, given that r(o) = 0.
-4, -1, 1, 5
Let 17/2 + 19/2*q**2 + 1/2*q**3 + 35/2*q = 0. Calculate q.
-17, -1
Let 0 + 1/2*u**3 - 83/2*u**2 + 0*u = 0. What is u?
0, 83
Let u = -6937 - -6939. Let s(r) be the first derivative of -2 + r**4 - 8*r + 10*r**u - 16/3*r**3. Factor s(g).
4*(g - 2)*(g - 1)**2
Suppose -215 = -27*t + 433. Factor -t*l**2 - 21*l + 48 - 7*l + 45*l**2 - 19*l**2.
2*(l - 12)*(l - 2)
Let w(z) be the second derivative of -z**4/54 - 151*z**3/27 - 52*z + 2. Factor w(f).
-2*f*(f + 151)/9
Let v = 439466/3 + -146488. Factor -4 - 14/3*s**2 + 2/3*s**4 + 26/3*s - v*s**3.
2*(s - 2)*(s - 1)**2*(s + 3)/3
Let w = 68566 + -205697/3. Factor -4/3 - 4/3*h + 1/3*h**3 + w*h**2.
(h - 2)*(h + 1)*(h + 2)/3
Suppose -2*m + 10 = 5*f, 3*f = 5*m - 9 + 15. Let p(c) be the second derivative of m - 7*c**3 - 20*c + 147/2*c**2 + 1/4*c**4. Find q, given that p(q) = 0.
7
Let k be ((-112)/(-14) - ((-7)/(-105) - -8))/(10/(-100)). Factor -5/3*d**2 + 2/3*d**4 - k*d - 1/3*d**3 + 0.
d*(d - 2)*(d + 1)*(2*d + 1)/3
Let i(y) be the second derivative of y + 369/2*y**3 + 399/4*y**4 + 243/2*y**2 - 58 - 147/20*y**5. Let i(r) = 0. Calculate r.
-3/7, 9
Let b(j) = -4*j**4 - 37*j**3 - 73*j**2 - 57*j - 63. Let c(o) = -o**4 - 9*o**3 - 18*o**2 - 14*o - 14. Let z(i) = 2*b(i) - 9*c(i). Determine l so that z(l) = 0.
-3, -2, 0
Let w(f) be the third derivative of -2*f**2 + 9/7*f**3 - 21*f + 0 - 3/56*f**4 - 1/140*f**5. Factor w(z).
-3*(z - 3)*(z + 6)/7
Let j(b) = -59*