*(j - 1)*(j + 1)**2
Let b(p) be the second derivative of 1/18*p**3 - 1/72*p**4 + 0 - 34*p - 1/12*p**2. Factor b(h).
-(h - 1)**2/6
Let c(w) = w**3 + 29*w**2 - 36*w + 11. Suppose -10 = -b - b. Let n(h) = 2*h**3 + 72*h**2 - 90*h + 28. Let q(o) = b*n(o) - 12*c(o). Factor q(t).
-2*(t - 4)*(t - 1)**2
Let c(y) = -3131*y**2 - 1006*y - 74. Let j(t) = -12525*t**2 - 4025*t - 295. Let l(i) = 25*c(i) - 6*j(i). Let l(q) = 0. What is q?
-4/25
Let z(f) be the second derivative of -5*f**4/48 + 5*f**3/12 + 15*f**2 + 46*f. Factor z(w).
-5*(w - 6)*(w + 4)/4
Let m = 69 - 55. Factor m*b - 2*b**2 + 150 - 150.
-2*b*(b - 7)
Let m(r) = r**3 + 6*r**2 - 8*r - 5. Let i = -12 - -5. Let d be m(i). Solve -3*g + g - 2*g**2 + d*g = 0 for g.
0
Suppose 2*q - 2*i = -20, 3*i = -3*q + 2*i - 22. Let w be q/(-3) + 2/(-3). Find c, given that -w*c - c + 7*c + 2*c**2 - 6 = 0.
-3, 1
Let c(m) be the second derivative of -3*m**5/8 + 31*m**4/24 - 17*m**3/12 + m**2/4 + 299*m. Factor c(u).
-(u - 1)**2*(15*u - 1)/2
Suppose -4*z + 4 = -4. Suppose -1 = o - 2, z*f + 4*o - 8 = 0. Determine a, given that 34*a**3 - 2*a**2 + f - 18*a**3 - 9*a**3 - 7*a = 0.
-1, 2/7, 1
Suppose -5*i**2 + 14*i**2 + 12*i**2 + 120*i + i**3 + 105 - 5 = 0. What is i?
-10, -1
Let v be 5/(-10)*(-2 + 1 + 1). Let o(f) be the first derivative of -1/6*f**6 + 1/3*f**3 + 0*f + 5 + 1/4*f**4 + v*f**2 - 1/5*f**5. Factor o(c).
-c**2*(c - 1)*(c + 1)**2
Let u(d) = 3*d**4 + 6*d**3 - 6*d + 3. Let p(i) = 4*i**4 + 11*i**3 + i**2 - 11*i + 5. Let x(l) = -3*p(l) + 5*u(l). Determine t, given that x(t) = 0.
-1, 0, 1
Let h(j) = j - 6. Let x be h(9). Factor 4*f - 9*f - x*f**3 + 20*f**2 - 8*f**3 - 4*f**3.
-5*f*(f - 1)*(3*f - 1)
Let v(t) be the third derivative of t**7/70 - 3*t**6/40 - t**5/10 + 3*t**4/2 - 4*t**3 - 43*t**2 - 1. Determine c, given that v(c) = 0.
-2, 1, 2
Let p(b) be the third derivative of -b**6/32 + 23*b**5/60 - 49*b**4/32 + 3*b**3/4 + 2*b**2 + b. Factor p(o).
-(o - 3)**2*(15*o - 2)/4
Let s(y) be the second derivative of -y**4/48 - y**3/12 - y**2/8 + 686*y. Factor s(q).
-(q + 1)**2/4
Let o be (-3)/(-11)*8426/1149. Factor -1/3*a**o + 0 + 1/3*a**3 + 0*a.
a**2*(a - 1)/3
Suppose 4*f + 17 + 3 = -2*h, -2*h + 3*f + 8 = 0. Let t be 30/(-50) + (-9)/30*h. Factor 8/3 - 2/3*j**2 + t*j.
-2*(j - 2)*(j + 2)/3
Let b(m) = -15*m**2 + 25*m - 5. Let x(h) = 7*h**2 - 12*h + 2. Let c(j) = -2*b(j) - 5*x(j). Factor c(w).
-5*w*(w - 2)
Let d(h) = 3*h**3 + 13*h**2 + 3*h - 11. Let r be d(-6). Let g = -209 - r. What is z in g*z + 0 - 2/11*z**2 + 4/11*z**3 - 2/11*z**4 = 0?
0, 1
Let n(o) = 2*o**3 - o**2 - 3*o + 1. Let s be n(2). Factor 47 - 15*r**3 - 5*r**4 - 45*r + 10*r**2 + 105*r - s.
-5*(r - 2)*(r + 1)*(r + 2)**2
Let v = -29 - -11. Let p = -16 - v. Factor -n + 13*n**2 - n**2 - 12*n**4 - 2*n + 0*n**p + 3*n**3.
-3*n*(n - 1)*(n + 1)*(4*n - 1)
Let t(f) be the first derivative of -5*f**3/12 + 5*f**2/8 + 5*f/2 - 239. What is c in t(c) = 0?
-1, 2
Let l(p) be the third derivative of -p**5/60 - p**4/8 + 9*p**2 + 1. Factor l(s).
-s*(s + 3)
Suppose 0 = -2*s - 5*k + 3, 7*s - 4*s - 3*k - 36 = 0. Solve 14*i**4 - 7*i**2 - 4*i**2 - s*i**4 - 5*i**3 + i**2 = 0.
-1, 0, 2
Find u such that -171/8 - 3/8*u**2 + 87/4*u = 0.
1, 57
Factor 0*t - 2/7*t**3 + 0 + 12/7*t**2.
-2*t**2*(t - 6)/7
Let p = -9 + 12. Let z(a) = -17*a**4 - 37*a**3 - 72*a**2 - 36*a + 8. Let h(m) = -6*m**4 - 12*m**3 - 24*m**2 - 12*m + 3. Let t(n) = p*z(n) - 8*h(n). Factor t(y).
-3*y*(y + 1)*(y + 2)**2
Suppose 18*o + 115752 = 115806. Factor -3/2*z**4 - 9*z**o + 9/2 + 3/2*z**5 - 3*z**2 + 15/2*z.
3*(z - 3)*(z - 1)*(z + 1)**3/2
Let 39*a + 1154 + 4*a**2 - 103*a - 3349 + 1126 + 1129 = 0. What is a?
1, 15
Suppose 4*r + 5*o - 30 = 0, 5*r + 4 = 3*o + 23. Suppose z - 5*i + 2 = -3, -5*i = 5*z - r. Factor -15/4*u**4 - 3/2*u**5 - 3/4*u**2 + 0 - 3*u**3 + z*u.
-3*u**2*(u + 1)**2*(2*u + 1)/4
Factor -32/5*j**2 + 4/5*j**5 - 24/5*j**3 + 0*j**4 - 12/5*j + 0.
4*j*(j - 3)*(j + 1)**3/5
Let q(a) be the second derivative of -a**6/120 + 7*a**5/80 + 47*a**4/48 - 5*a**3/8 - 99*a**2/4 - 85*a. Suppose q(k) = 0. Calculate k.
-3, 2, 11
Let h(d) be the third derivative of -d**8/1344 + d**7/280 + d**6/240 - d**5/40 - d**4/96 + d**3/8 + 81*d**2. Find p, given that h(p) = 0.
-1, 1, 3
Find h, given that 0 + 1/6*h**5 + 11/3*h**4 + 0*h**2 + 7/2*h**3 + 0*h = 0.
-21, -1, 0
Suppose 0 - 2*k**3 - 5/3*k**2 + 0*k - 1/3*k**4 = 0. What is k?
-5, -1, 0
Let n be 24/12*(-21)/(-10)*14/49. Let -3*u**2 + 0 - 6/5*u - n*u**3 = 0. What is u?
-2, -1/2, 0
Let w(y) = -y**5 - y**4 + y**2 - 2*y - 1. Let n(s) = -4*s**5 - 6*s**4 - 36*s**3 - 58*s**2 - 42*s - 6. Let q(o) = n(o) - 6*w(o). Factor q(r).
2*r*(r - 5)*(r + 1)**2*(r + 3)
Let q(a) = 3*a. Let j(z) = -4*z**2 - 384*z. Let s(y) = -j(y) + 4*q(y). Factor s(c).
4*c*(c + 99)
Let g(i) be the first derivative of -i**4/40 - 7*i**3/30 - 3*i**2/4 - 9*i/10 + 39. Factor g(a).
-(a + 1)*(a + 3)**2/10
Suppose -2/13*v**2 + 222/13*v - 220/13 = 0. What is v?
1, 110
Let r(f) be the second derivative of 5*f**4/12 + 5*f**3 - 455*f**2/2 - 86*f - 5. Factor r(x).
5*(x - 7)*(x + 13)
Let w(o) be the second derivative of -11/50*o**5 + 0 - 3/10*o**4 - 4/75*o**6 - 3*o - 1/15*o**3 + 1/5*o**2. Factor w(m).
-2*(m + 1)**3*(4*m - 1)/5
Let o(h) be the second derivative of h**8/2352 - h**7/1470 - h**6/840 + h**5/420 + 19*h**2/2 - 10*h. Let v(c) be the first derivative of o(c). Factor v(t).
t**2*(t - 1)**2*(t + 1)/7
Let l(f) = -f**5 - 20*f**4 - 37*f**3 - 38*f**2 - 16*f. Let x(n) = -21*n**4 - 36*n**3 - 39*n**2 - 18*n. Let b(u) = 3*l(u) - 2*x(u). Solve b(p) = 0 for p.
-2, -1, 0
Let v(p) be the first derivative of -p**5/12 - 5*p**4/24 + 11*p**2/2 - 22. Let s(i) be the second derivative of v(i). Find k such that s(k) = 0.
-1, 0
Let y = 11162/9 + -1273. Let p = 33 + y. Find d such that 4/9*d - p*d**2 + 0 = 0.
0, 2
Suppose 2*m - 6 - 28 = 0. Suppose -3*n**5 - 11*n**2 - 5*n**4 + 18*n**5 + m*n**2 + 15*n - 30*n**3 + 4*n**2 - 5 = 0. What is n?
-1, 1/3, 1
Let m(f) be the third derivative of -49*f**8/240 - 28*f**7/75 + 21*f**6/25 - 8*f**5/15 + 2*f**4/15 - 38*f**2. Factor m(g).
-g*(g + 2)*(7*g - 2)**3/5
Suppose 0 = 8*l - 12 + 4. Let f be (-22)/(-66) - (1/l + -2). Let a + f - 1/3*a**2 = 0. What is a?
-1, 4
Let k(z) be the first derivative of -4*z**3/9 + 344*z**2/3 - 29584*z/3 + 50. Determine v so that k(v) = 0.
86
Let g be (5 - 0)*(-1 - -2). Suppose -20 = -5*p - 0*c + 5*c, g*p + 5*c = -20. Factor 0 + 2/3*b**2 + p*b.
2*b**2/3
Let d(j) = -60*j**3 - 60*j**2 + 85*j. Let c(o) = 3*o**2 + 5*o**3 - 7*o + o**2 + 2*o**2 - o**2. Let z(h) = 35*c(h) + 3*d(h). What is p in z(p) = 0?
-2, 0, 1
Let b(i) = 2*i**2 + 26*i - 26. Let d be b(-14). Factor 36 + 144*y - 3*y**d - 45*y - 66*y.
-3*(y - 12)*(y + 1)
Let h = 13 + -10. Suppose 4*y - 28 = -3*o, -5*y - 3*o = -h*y - 20. Find b, given that 6*b - 5*b**2 + 9*b**3 - 9*b**4 + 33*b**y - 16*b**2 - 12*b**5 = 0.
-1, 0, 1/2, 2
Factor 185*l**2 + 649*l + 2*l**3 - 257*l - 129*l**2.
2*l*(l + 14)**2
Let z(l) be the second derivative of l**5/390 - l**4/156 - 3*l**2 + 4*l. Let u(w) be the first derivative of z(w). Find r, given that u(r) = 0.
0, 1
Let b(v) = v**2 - 17*v + 68. Let l be (115/25 + -5)/((-1)/15). Let m be b(l). Solve 0*k + m*k**2 + 2/3*k**4 + 0 + 8/3*k**3 = 0 for k.
-3, -1, 0
Let r be -9 + (-12)/(36/(-33)). Determine w, given that 2/5*w + 1/5*w**r + 0 = 0.
-2, 0
Let f = 2866 - 2866. Factor 8/3*u**2 + f + 0*u + 4/3*u**3.
4*u**2*(u + 2)/3
Factor -164*d - 100*d**2 - 5*d**5 + 50*d**3 - 20 + 323*d - 84*d.
-5*(d - 1)**4*(d + 4)
Let k(b) be the first derivative of -4*b**6/9 + 6*b**5/5 + 3*b**4 - 58*b**3/9 + 2*b**2 - 678. Find y such that k(y) = 0.
-2, 0, 1/4, 1, 3
Suppose 0 = 4*a, 2*v = 5*v - 5*a + a. Solve 58/7*k**4 + 8/7*k**3 - 8/7*k**2 - 30/7*k**5 + 0 + v*k = 0.
-2/5, 0, 1/3, 2
Let w(y) = -y**3 - y - 1. Let m(j) = 6*j**3 - 3*j**2 + 7*j + 5. Let f be 8/12 + (-20)/(-6). Suppose f*t - 12 = -72. Let d(i) = t*w(i) - 3*m(i). Factor d(c).
-3*c*(c - 2)*(c - 1)
Suppose 0 = -3*t - 0 + 6. Determine q so that q**3 + t*q - q**2 - 3*q**2 + q**3 = 0.
0, 1
Factor 9*c**2 - 110*c**3 + 3*c + 3*c**4 - 108*c**3 + 227*c**3.
3*c*(c + 1)**3
Let j(z) be the second derivative of -2*z**7/21 - 6*z**6/5 - 4*z**5 + 16*z**4/3 + 64*z**3 + 160*z**2 + 117*z. Suppose j(n) = 0. Calculate n.
-5, -2, 2
Determine l so that -19*l**3 + 16 + 50*l + 32*l**3 + 23*l**2 + l**4 + 22*l**2 - 2*l**4 -