/18 - z**2 + 26*z. Solve w(y) = 0 for y.
-3, -1, -2/5
Let t = 453 - 288. Factor -165 - 2*n + t + n**2.
n*(n - 2)
Let i(t) be the first derivative of -255/4*t**4 - 310/3*t**3 - 5/2*t**6 + 32 - 40*t - 20*t**5 - 90*t**2. Suppose i(f) = 0. What is f?
-2, -1, -2/3
Let n be -3 - ((-18 - -13) + 2 + 1*-2). Factor 4/7*q - 4/7*q**3 - 2/7*q**4 + 0*q**n + 2/7.
-2*(q - 1)*(q + 1)**3/7
Let l(b) be the first derivative of -5*b**6/6 - 4*b**5 + 15*b**4/4 + 50*b**3/3 - 20*b**2 - 171. Solve l(p) = 0.
-4, -2, 0, 1
Suppose -102 = -11*n - 102. Let x(t) be the third derivative of -1/300*t**5 + 0*t - t**2 + n*t**4 + 0*t**3 + 0. Factor x(z).
-z**2/5
Let s be (21 - (46 - 25))/(-3 + 7). Solve 2/5*u**5 - 14/5*u + 8*u**2 - 36/5*u**3 + s + 8/5*u**4 = 0.
-7, 0, 1
Suppose 0*a = 7*a. Suppose 4*q - 16 + 8 = a. Determine h, given that 8 - 3*h**2 + 9*h - 9*h**3 - h**4 - q - 2*h**4 + 0 = 0.
-2, -1, 1
Let o = -48 + 54. Factor -5 - 15*a**2 + o - 12 - 24*a - 1 - 3*a**3.
-3*(a + 1)*(a + 2)**2
Determine b so that -20*b - 58/3 - 2/3*b**2 = 0.
-29, -1
Let w be (-987)/(-490) + -5 + 3. Let k(f) be the second derivative of -1/105*f**6 - f + 0*f**3 + 0*f**4 + 0 + 0*f**2 + w*f**5. Suppose k(c) = 0. Calculate c.
0, 1
Solve -9*y**2 - 21*y**2 - 3*y + 159*y**3 - 309*y**3 + 30 + 153*y**3 = 0.
-1, 1, 10
Suppose -5*k + 5*h = 0, 2*h = 7*h - 10. Let x(a) be the first derivative of 16/33*a**3 + 7 + 14/11*a**k + 6/11*a. Factor x(l).
2*(2*l + 3)*(4*l + 1)/11
Suppose 0 = -4*k + 44 + 224. Suppose -k*w**3 - 12*w**2 - 6 + 9*w - 24*w + 64*w**3 = 0. What is w?
-2, -1
Let m(a) be the second derivative of a**6/10 - 27*a**5/10 + 12*a**4 - 23*a**3 + 45*a**2/2 + 163*a + 1. Factor m(b).
3*(b - 15)*(b - 1)**3
Suppose -162 + 36 = -7*g. Suppose g*t - 16 = 10*t. Factor -3/4*x**3 - 1/4*x**5 + 0 + 0*x + 1/4*x**t + 3/4*x**4.
-x**2*(x - 1)**3/4
Let b(v) be the first derivative of -v**6/300 - v**5/20 - v**4/5 + 5*v**3/3 - 27. Let w(j) be the third derivative of b(j). Find z such that w(z) = 0.
-4, -1
Let x(d) be the second derivative of 3/10*d**5 + 0 - 3/2*d**2 + 3/10*d**6 - 1/2*d**4 - 3*d - 3/2*d**3 + 1/14*d**7. Determine j, given that x(j) = 0.
-1, 1
Let p(w) be the first derivative of w**5/40 - 7*w**3/8 + 5*w**2/4 - 98. Solve p(l) = 0 for l.
-5, 0, 1, 4
Let f(n) be the third derivative of 11/12*n**6 + 5/3*n**3 + 0 - 35/24*n**4 - 4/21*n**7 + 0*n + 14*n**2 - 3/4*n**5. What is a in f(a) = 0?
-1/2, 1/4, 1, 2
Suppose 7 = 2*t + 3*i, 10 = 2*t - 4*i - 4. Let p be (-144)/27*6/(-8). Factor 4*q**5 - 6 - q**t - 24*q**2 + p*q + 6*q**4 - 6*q**3 - 25*q.
3*(q - 2)*(q + 1)**4
Let w be (21/9 - 2)*0*(-2)/(-4). Factor 2*r**4 + 0 + w*r + 0*r**2 - 4/7*r**3 + 18/7*r**5.
2*r**3*(r + 1)*(9*r - 2)/7
Let y(a) be the third derivative of a**6/720 - a**5/72 + a**4/48 + a**3/4 - 108*a**2. Factor y(o).
(o - 3)**2*(o + 1)/6
Let n(p) be the second derivative of -p**5/16 - 25*p**4/12 - 85*p**3/6 - 40*p**2 + 210*p. Let n(b) = 0. What is b?
-16, -2
Let t(z) be the second derivative of -13*z**4/28 + 27*z**3/7 - 12*z**2/7 - z - 53. Solve t(j) = 0.
2/13, 4
Let h(s) be the first derivative of -117*s**4/8 + s**3 + 117*s**2/4 - 3*s + 413. Solve h(g) = 0.
-1, 2/39, 1
Let i(f) be the second derivative of 2*f**6/45 - f**5/20 - f**4/36 + 4*f - 5. Factor i(u).
u**2*(u - 1)*(4*u + 1)/3
Let k(n) be the third derivative of n**6/40 + 13*n**5/20 + 55*n**4/8 + 75*n**3/2 - 11*n**2. Determine s so that k(s) = 0.
-5, -3
Factor 4*u**2 + 34/3*u + 20/3.
2*(u + 2)*(6*u + 5)/3
Let f(q) be the first derivative of -5*q**4/4 + 55*q**3/3 - 65*q**2 + 80*q + 213. Solve f(b) = 0.
1, 2, 8
Let y be 5 - (0 - 0)/4. Let l(v) = v - 3. Let i be l(y). Let 24*h**4 + 81*h**i + 2*h**3 - 71*h**3 + 1 - 39*h + 5 - 3*h**4 = 0. What is h?
2/7, 1
Let k = 1944/29 + -9662/145. What is o in 2/5*o**3 - 2/5*o + 2/5*o**4 - k*o**2 + 0 = 0?
-1, 0, 1
Let z(t) be the first derivative of -t**6/12 - 2*t**5/5 - 3*t**4/4 - 2*t**3/3 + t**2 + 19. Let w(f) be the second derivative of z(f). Factor w(m).
-2*(m + 1)**2*(5*m + 2)
Suppose 3*r + 0 = -5*g + 40, 2*g - 16 = 4*r. Suppose 0 = g*w - 4*w - 204. Find a such that 17*a**2 + 6*a + 12*a**5 - 3*a**2 + 25*a**2 + 72*a**3 + w*a**4 = 0.
-2, -1, -1/4, 0
Let l = 3649/4 - 912. Factor -l*t**3 - 1/4*t**2 + 1/4*t**5 + 0 + 0*t + 1/4*t**4.
t**2*(t - 1)*(t + 1)**2/4
Let f be 2/7*(-16 - -23). Let 3*t**3 - 13*t**5 + 8*t**5 - f*t - 3*t + 7*t**3 = 0. Calculate t.
-1, 0, 1
Let j(t) = -7*t**2 + 160*t - 2352. Let n(m) = -m**2 - 2*m. Let d(o) = -j(o) + 4*n(o). Suppose d(i) = 0. Calculate i.
28
Let w(x) = -4*x**4 - 23*x**3 + 6*x**2 + 4*x. Let q(t) = t. Let n(h) = -20*q(h) + 5*w(h). Suppose n(g) = 0. What is g?
-6, 0, 1/4
Let z = -100/39 - -539/195. Let z - 1/5*y**2 + 0*y = 0. What is y?
-1, 1
Let q(b) = 22*b + 2180. Let y be q(-99). What is l in -4/5*l**4 - 11/5*l - 21/5*l**y - 16/5*l**3 - 2/5 = 0?
-2, -1, -1/2
Let c(g) = 26*g**2 - 6*g - 2. Let t(n) = 51*n**2 - 11*n - 5. Suppose -5*w + 0*w = -5*q - 20, -5*w + 22 = -3*q. Let i(y) = w*c(y) - 2*t(y). Factor i(a).
4*a*(7*a - 2)
Let c(p) = p**2 + p + 1. Let z(x) = 10*x**2 + 22*x + 6. Suppose -5*w - 18 = 3*o, 3*w = -2*w - 2*o - 22. Let k(h) = w*c(h) + z(h). Factor k(u).
4*u*(u + 4)
What is h in 4*h**5 - 3*h**5 - 9*h**4 - 342*h**3 - 2*h**4 + 328*h**3 + 24*h**2 = 0?
-2, 0, 1, 12
Suppose 3*j - 6 = -5*c, -3 = -c + 4*j + 12. Let d(q) be the first derivative of 0*q + 3 - 1/6*q**4 + 2/9*q**2 - 2/27*q**c. Factor d(w).
-2*w*(w + 1)*(3*w - 2)/9
Suppose 0 = 138*c + c - 556. Determine o, given that 2/5*o**2 + 0*o - 2/5*o**3 - 2/5*o**c + 2/5*o**5 + 0 = 0.
-1, 0, 1
Let t be (-7 - 3) + 22 + 0 + -7. Solve 2*j**3 + 0*j**2 + 6*j**4 + 0 - 7/2*j**t + 0*j = 0 for j.
-2/7, 0, 2
Let c(s) = s**5 + 6*s**4 + 6*s**3 + 4*s**2 + 9*s - 6. Let v(d) = d**3 + d**2 - d + 1. Suppose 0 = -0*n + 3*n + 3. Let w(j) = n*c(j) - 6*v(j). Factor w(u).
-u*(u + 1)**3*(u + 3)
Let p(r) = 2*r**2 - 44*r + 78. Let y(m) = -2*m. Let w(s) = 2*p(s) + 36*y(s). Determine h, given that w(h) = 0.
1, 39
Let c be (204/(-144) + 6/8)*(-64)/32. What is y in 0*y - c + 4/3*y**2 = 0?
-1, 1
Suppose 5*q**4 + 622*q**3 + 2 - 54 + 209*q**2 + 24*q - 484*q**3 = 0. Calculate q.
-26, -1, 2/5
Let z(w) = -w**2 - 4*w + 2. Let i(t) = 1. Let c be (-64)/16*(-7)/4. Let h(k) = -k**2 + 8*k - 1. Let g be h(c). Let q(o) = g*i(o) - z(o). Factor q(l).
(l + 2)**2
Solve -2 - 5/4*n**4 - 8*n**3 - 19/2*n - 57/4*n**2 = 0 for n.
-4, -1, -2/5
Let l(u) be the first derivative of 36*u**5 - 132*u**4 + 1621*u**3/15 + 117*u**2/10 + 2*u/5 + 416. Determine p so that l(p) = 0.
-1/30, 1, 2
Let c be ((-2)/7)/((8/(-5))/((-322)/(-115))). Factor -1/2*w**3 + 0*w + 0 - c*w**2.
-w**2*(w + 1)/2
Suppose 5*c + 4*p + 41 = 0, 5 = -c + 2*p + 8. Let g be -4 + 5 + 2 + c/2. Factor -g*v**2 - v + 3/2.
-(v - 1)*(v + 3)/2
Let q(w) be the first derivative of -w**6/150 - w**5/25 - w**4/15 - 13*w**2/2 - 11. Let r(i) be the second derivative of q(i). Factor r(v).
-4*v*(v + 1)*(v + 2)/5
Let l(g) = g**2 - 4. Let r be l(3). Suppose -2*z + z**4 - 2*z**4 - 3*z**3 + 2*z**5 - z**5 + r*z**2 + 0*z**4 = 0. What is z?
-2, 0, 1
Let a = 1907/60 - 127/4. Let p(c) be the third derivative of 0*c**4 + 0 - 1/105*c**7 + 0*c**3 + c**2 + 0*c**6 + 0*c + a*c**5. Suppose p(r) = 0. What is r?
-1, 0, 1
Let w(b) = b**5 + 20*b**4 + 9*b**3 - 32*b**2 + 2*b. Let v(u) = 9*u**5 + 201*u**4 + 90*u**3 - 321*u**2 + 21*u. Let f(l) = 2*v(l) - 21*w(l). Solve f(x) = 0.
-5, -2, 0, 1
Suppose b + 126 = 131. Suppose b*j - 113 = -103. Solve -1/5*x**3 - 3/5*x + 3/5*x**j + 1/5 = 0.
1
Let d(o) be the first derivative of 2/3*o**3 + 32 + 8*o + 4*o**2. Factor d(j).
2*(j + 2)**2
Let k(i) = -1. Let a(s) = -s**2 + 16*s - 59. Let m = 109 - 110. Let n(f) = m*a(f) - 5*k(f). Let n(z) = 0. What is z?
8
Let f be ((-1)/1)/(-7 + (-85)/(-34)). What is m in -8/9*m + f + 8/9*m**2 = 0?
1/2
Let a(f) = -2*f**2 - 16*f - 21. Let c be a(-6). Suppose -o + o = -c*o. Factor 0*t + o + 11/4*t**3 - 1/2*t**2.
t**2*(11*t - 2)/4
Factor -2/23*t**2 - 260/23*t - 8450/23.
-2*(t + 65)**2/23
Let t(n) be the first derivative of 7/8*n**2 + 5/2*n + 1/12*n**3 - 43. Solve t(d) = 0 for d.
-5, -2
Let o be -3 + 9 - (2 + 1). Let w(a) = a**3 + 9*a**2 + 12*a - 3. Let k(y) = -y**2 - y + 1. Let g(s) = o*k(s) + w(s). Factor g(j).
j*(j + 3)**2
Factor -29/2*k + 1/4*k**2 + 57/4.
(k - 57)*(k - 1)/4
Let s(l) = -l**3 + 46*l**2 - 98*l + 440. Let a be s(44). Factor 0*o**2 + a + 4/