+ 29*k + 192*k**2 - 54*k.
3*k*(k + 4)**2*(5*k - 2)
Let v(q) be the second derivative of q**4/96 - 17*q**3/48 - 19*q**2/8 + 98*q - 8. Let v(x) = 0. What is x?
-2, 19
Suppose -11*k = -803 + 858. Let g be 1 + k + 35/8. Let -3/2*z + 9/4*z**2 + g - 3/2*z**3 + 3/8*z**4 = 0. What is z?
1
Factor 4*g**3 + 44*g**2 + 2*g**3 + 40*g - 2*g**3 + 4138 - 4426.
4*(g - 2)*(g + 4)*(g + 9)
Suppose 639*h - 3272 = 85*h - 209*h - 983. Determine y, given that -3/7*y**3 + 18/7 + 0*y**2 + h*y = 0.
-2, -1, 3
Let g = 4006 - 1662488/415. Let y = g - -808/4565. Factor -y*l**2 - 18/11 + 12/11*l.
-2*(l - 3)**2/11
Let g be (-261 - -261)/(-3 + -1). Let t(f) be the second derivative of -4/23*f**2 + 16/69*f**3 - 7/138*f**4 - 15*f + g. Let t(n) = 0. What is n?
2/7, 2
Suppose 7*b + 2535 = 2563. Suppose -b*z - 5*u = -13, -3*z = 2*u - 1 - 7. Factor -32/13 + 16/13*m - 2/13*m**z.
-2*(m - 4)**2/13
Let v(w) be the first derivative of 20 + 0*w + 3/8*w**4 + 1/2*w**3 - 3/2*w**2. Suppose v(h) = 0. Calculate h.
-2, 0, 1
Find w such that -96/5 + 512/5*w + 62/5*w**4 + 32*w**2 + 22/5*w**5 - 408/5*w**3 = 0.
-6, -1, 2/11, 2
Determine h so that -48/5*h**2 - 6/5*h**4 + 0*h + 32/5 + 32/5*h**3 = 0.
-2/3, 2
Suppose 5*s + 4 = i, i - 8*s = -11*s + 12. Let b be 0 + 0 + -5 + i. Let 54*d**3 - 53*d**3 + 2*d**2 - 3*d**b + d**2 - d**5 = 0. What is d?
-3, -1, 0, 1
Suppose -a - 6 = -3*a. Suppose 22*m - 1 = 43. Find s, given that -3*s**2 - m*s**3 + 4*s**3 + a - 3*s + s**3 = 0.
-1, 1
Let y(b) be the second derivative of -10/21*b**3 + 3 + 1/42*b**4 + 20*b - 39/7*b**2. Determine u so that y(u) = 0.
-3, 13
Let w be ((-3648)/183)/(-4) - (-2 - -7). Let a = w + 125/183. Let 1/3*n**4 + 1 + 2/3*n - 4/3*n**2 - a*n**3 = 0. What is n?
-1, 1, 3
Let h be -4*9/(-30) - (4 - 966/245). Factor -2/7*o**2 - 6/7 - h*o.
-2*(o + 1)*(o + 3)/7
Let c(w) = w**3 + 39*w**2 - 42*w - 73. Let m be c(-40). Factor 4*g**2 - 3*g**2 - 2*g**2 + m*g.
-g*(g - 7)
Let 2*q**3 + 52/5*q - 134/5*q**2 + 0 = 0. What is q?
0, 2/5, 13
Let y(w) be the second derivative of -6*w - 1/66*w**4 + 3 - 625/11*w**2 + 50/33*w**3. Find l such that y(l) = 0.
25
Let c(i) be the first derivative of i**3/8 + 111*i**2 + 32856*i + 66. Suppose c(s) = 0. What is s?
-296
Let w(n) = 13*n**2 - 10*n + 8. Let x be w(1). Suppose y - 3*m - 2 = 0, 11*y = 6*y - 5*m + 10. Let -5*i - 4*i**y - 2*i**2 - 5*i + 5 + x*i**2 = 0. What is i?
1
Let m be (-2*1)/((-272)/(-132) - 2). Let w = m + 35. Suppose 3*d**3 - 1 + 7 + w*d**3 + 4 - 15*d = 0. What is d?
-2, 1
Let d(k) be the second derivative of -1/72*k**4 + 52*k + 0*k**3 + 0 + 0*k**2 - 11/120*k**5. Find p such that d(p) = 0.
-1/11, 0
Let r(u) = u**3 + 2*u. Let y(b) = -b**3 + 151*b**2 - 309*b + 153. Let w(q) = 4*r(q) + 2*y(q). Factor w(m).
2*(m - 1)**2*(m + 153)
Let c(w) be the third derivative of 1/135*w**5 + 2 - 1/108*w**4 + 0*w**6 + 1/1512*w**8 - 2/945*w**7 - 11*w**2 + 0*w + 0*w**3. Factor c(h).
2*h*(h - 1)**3*(h + 1)/9
Let w = -63 + 67. Factor -w*i - 3*i**3 + 8*i + 377*i**4 - 378*i**4.
-i*(i - 1)*(i + 2)**2
Let k = 9 + -5. Factor 10*h**2 + 8*h**5 - 20*h**3 + 15*h + 2*h**5 + 2*h**5 - 7*h**5 + 18*h**4 - 28*h**k.
5*h*(h - 3)*(h - 1)*(h + 1)**2
Suppose 0 = 4*d - 2*r, 3*d - 2*r + 2 = 1. Let i(g) = 6*g**2 - 2*g. Let y be i(d). Factor -5*p**4 + 5*p**5 + 9*p**y - 9*p**4.
5*p**4*(p - 1)
Let b = -7 - -10. Suppose b*n = 7*n - 784. What is l in n*l**3 - 35*l**2 - 201*l**3 + 9*l + 41*l - 10*l**2 = 0?
-10, 0, 1
Let w(a) = 2*a**2 + 180*a + 3171. Let r be w(-24). Let f(q) be the first derivative of -37 - 2/7*q**2 + 2/35*q**5 - 2/21*q**r + 1/7*q**4 + 0*q. Factor f(s).
2*s*(s - 1)*(s + 1)*(s + 2)/7
Let r(b) be the first derivative of -b**6/280 + b**5/140 + b**4/14 - 2*b**3/7 + 5*b**2/2 + 2*b + 63. Let p(z) be the second derivative of r(z). Factor p(l).
-3*(l - 2)*(l - 1)*(l + 2)/7
Let k(h) be the second derivative of -9*h - 1/50*h**5 + 1/3*h**3 - 1/15*h**4 + 0 + 6/5*h**2. Factor k(l).
-2*(l - 2)*(l + 1)*(l + 3)/5
Factor 144*o**2 - 6420*o**2 + 927522*o - 23394166 + 54*o**3 + 1557*o**2 - 7539*o**2.
2*(3*o - 227)**3
Let s(b) be the first derivative of -2/15*b**3 - 810*b - 242 - 18*b**2. Solve s(u) = 0 for u.
-45
Let y(i) = -41*i - 488. Let u be y(-12). Let s(k) be the first derivative of -5/4*k**u + 20/3*k**3 - 20*k + 16 + 5/2*k**2. Factor s(p).
-5*(p - 4)*(p - 1)*(p + 1)
Let -80 + 312*m**2 - 25*m**3 - 244*m + 35*m**3 - 16*m**4 + 18*m**3 = 0. What is m?
-4, -1/4, 1, 5
Suppose 114 = 2*y + 48. Let a be 9*14/y - (-6)/33. Factor -2*g**3 + 625 + a*g**3 - 5*g**2 + 3*g**3 + 80*g**2 + 375*g.
5*(g + 5)**3
Let s = 3/13604 + 2720611/857052. Let a = 23/7 - s. Factor a*v**5 + 4/9*v**2 + 0 + 8/9*v**3 + 5/9*v**4 + 0*v.
v**2*(v + 1)*(v + 2)**2/9
Let p(q) = q**2 + 19*q - 64. Let u be p(-22). Determine w so that 15*w**u - 15*w**4 + 17*w**2 + 21*w**3 + 12*w**2 - 50*w**2 = 0.
0, 2/5, 1
Let k(q) be the third derivative of q**2 + 7/90*q**4 + 49/45*q**3 + q + 0 + 1/450*q**5. Factor k(c).
2*(c + 7)**2/15
Let d(h) be the first derivative of -h**5/90 + 11*h**4/36 + 3*h**2/2 - 16*h + 82. Let v(z) be the second derivative of d(z). What is p in v(p) = 0?
0, 11
Suppose -25/3*f**2 - 3805*f + 4570/3 = 0. Calculate f.
-457, 2/5
Let k be ((-4548)/(-336))/((-27)/(-18)) + -9. Let b(z) be the third derivative of 0*z - 1/420*z**5 + 2/21*z**3 - 1/840*z**6 + 14*z**2 + 0 + k*z**4. Factor b(s).
-(s - 2)*(s + 1)*(s + 2)/7
Let o = 7671 + -7671. Let i(v) be the second derivative of -10*v + 2/3*v**3 + 0 + o*v**2 + 1/12*v**4. Factor i(g).
g*(g + 4)
Let m(y) = 2 - 3*y - 5 - 3 + 3*y**2. Let x be 16/(-6) + 3 - ((-8)/6)/2. Let k(q) = -q - 1. Let d(s) = x*m(s) - 15*k(s). Factor d(i).
3*(i + 1)*(i + 3)
Let r = -502447/2 - -251225. Let k**3 + 2/3*k + 0 - r*k**2 - 1/6*k**4 = 0. What is k?
0, 1, 4
Let x = 87791/58518 - 7/29259. Let 9 + x*k**2 - 29/2*k - 1/2*k**4 + 9/2*k**3 = 0. What is k?
-2, 1, 9
Let f(x) be the second derivative of 3*x**5/4 + 25*x**4/36 - 65*x**3/3 + 160*x**2/3 - 584*x. What is b in f(b) = 0?
-32/9, 1, 2
Let j = -2725 + 2728. Let y(q) be the first derivative of 4 + 33/2*q**2 + 3/5*q**5 + 3/4*q**4 - 9*q**j - 12*q. Factor y(r).
3*(r - 1)**3*(r + 4)
Let k be (103 - 1)*32/24. Let j be ((-7)/2)/((-238)/k). Find g, given that 3/2*g + 0 - 3/2*g**j = 0.
0, 1
Let z(x) be the first derivative of -13*x**4/14 + 8*x**3/3 + 44*x**2/7 - 192*x/7 - 1666. Find b, given that z(b) = 0.
-24/13, 2
Let h(n) be the first derivative of 6*n**2 + 3*n + 6*n**3 + 3*n**4 + 3/5*n**5 - 4. Suppose h(t) = 0. Calculate t.
-1
Let u(j) = 93*j**2 + 12*j - 780. Let i(q) = -7*q**2 - q + 60. Suppose 5*s + 0*s = -4*v - 17, 5*v = -3*s - 5. Let o(r) = v*u(r) + 27*i(r). Factor o(h).
-3*(h - 4)*(h + 5)
Let k(w) = -w**2 - 1555*w + 18806. Let o be k(12). Factor -2/5*i**4 - 26/5*i - 6*i**o - 8/5 - 14/5*i**3.
-2*(i + 1)**3*(i + 4)/5
Let d(q) be the second derivative of q**6/6 + 35*q**5/4 - 95*q**4/6 - 60*q**3 + 565*q + 8. Factor d(c).
5*c*(c - 2)*(c + 1)*(c + 36)
Let g(z) be the third derivative of -20*z**5/3 - 530*z**4/3 - 5618*z**3/3 - 31*z**2 - z + 57. Determine j so that g(j) = 0.
-53/10
Let d(k) be the third derivative of -k**8/168 + k**6/30 - k**4/12 - 179*k**2. Solve d(q) = 0 for q.
-1, 0, 1
Let k = 13330 - 13324. Let w(z) be the second derivative of -1/4*z**3 + 3/40*z**5 + z**2 - 5/24*z**4 + 1/60*z**k - 8*z + 0. Suppose w(j) = 0. Calculate j.
-4, -1, 1
Let o(f) be the first derivative of 82 + 2*f**5 + 4*f**4 + 0*f + 0*f**2 + 8/3*f**3 + 1/3*f**6. Determine c, given that o(c) = 0.
-2, -1, 0
Let x(i) be the first derivative of i**6/16 + 51*i**5/10 - 1305*i**4/32 + 333*i**3/4 + 2136. Suppose x(u) = 0. What is u?
-74, 0, 3
Let t(f) be the third derivative of -1/150*f**6 - 27/200*f**5 + 7/40*f**4 + 0*f + 0 + 31/6*f**3 + 2*f**2. Let y(d) be the first derivative of t(d). Factor y(x).
-3*(x + 7)*(4*x - 1)/5
Let s(u) be the first derivative of u**4/8 + 5*u**3/2 - 179*u - 44. Let y(t) be the first derivative of s(t). What is h in y(h) = 0?
-10, 0
Let q = 77 - 34. Let x = -38 + q. Suppose 4*t**5 - 10*t**2 - 5*t + 0*t + t**x + 10*t**4 = 0. What is t?
-1, 0, 1
Let 2/5*v**3 + 16/5*v**2 + 0 + 8/5*v - 6/5*v**4 = 0. Calculate v.
-1, -2/3, 0, 2
Suppose -538 + 502 = -18*t. Suppose t*q - 5083 = -5079. Find r such that 4/7*r + 2/7*r**q - 1/7*r**3 - 8/7 = 0.
-2, 2
Factor 439*z**2 - z**4 - 128 + 100*z**3 + 13*z**4 - 223*z**2.
4*(z + 1)*(z + 4)**2*(3*z - 2)
Let r(u