+ 2*i - 42 = 0. Suppose -2*x + l = 2*x. Factor d**3 + 3/2*d**4 + 1/2*d**x - 1/2 - 3/2*d - d**2.
(d - 1)*(d + 1)**4/2
Let x(o) be the third derivative of o**6/30 - 7*o**4/6 + 4*o**3 - 22*o**2. Factor x(h).
4*(h - 2)*(h - 1)*(h + 3)
Let f = 1/219 - -727/657. Suppose -4/9*a**2 - f*a**3 - 8/9*a**4 + 0*a + 0 - 2/9*a**5 = 0. What is a?
-2, -1, 0
Factor -1/5 + 6/5*k - k**2.
-(k - 1)*(5*k - 1)/5
Let v = 51 + -51. Let t(a) be the second derivative of 1/8*a**4 + v*a**2 + 0 + 1/20*a**6 + 0*a**3 - 3/20*a**5 - a. Factor t(q).
3*q**2*(q - 1)**2/2
Determine a so that -2/5*a - 2/5*a**2 + 2/5*a**3 + 0 + 2/5*a**4 = 0.
-1, 0, 1
Let b(t) be the second derivative of t**7/252 + t**6/36 + t**5/20 - t**4/18 - 2*t**3/9 - 30*t. Factor b(a).
a*(a - 1)*(a + 2)**3/6
Let c(s) be the second derivative of -s**9/83160 + s**7/6930 - s**5/660 - s**4/6 + s. Let u(b) be the third derivative of c(b). Factor u(w).
-2*(w - 1)**2*(w + 1)**2/11
Let m(b) be the first derivative of 2/3*b**3 + 3 + 2*b + 2*b**2. Let m(p) = 0. What is p?
-1
Let t(g) = g. Let m be t(4). Let w be m - (9 - 3) - -5. Factor -w*v**2 + 3/2*v**4 + 3/2 + 0*v**3 + 0*v.
3*(v - 1)**2*(v + 1)**2/2
Let h = -15 + 19. Let d(n) be the third derivative of 2*n**2 - 1/180*n**5 + 0*n**3 + 0 + 0*n + 0*n**h. Let d(i) = 0. What is i?
0
Let a be 3 - 5 - (198/8)/(-11). Factor 0 - 1/4*k**3 + 1/2*k + a*k**2.
-k*(k - 2)*(k + 1)/4
Let z(f) be the first derivative of f**6/21 + 4*f**5/35 + f**4/14 + 15. Factor z(u).
2*u**3*(u + 1)**2/7
Suppose -16*t - 1 = -1. Let s(p) be the second derivative of 1/6*p**3 + 0*p**4 - 1/60*p**5 - 2*p + t - 1/3*p**2. Factor s(h).
-(h - 1)**2*(h + 2)/3
Factor 111*y**3 + 0 - 240*y**2 - 27/2*y**4 + 48*y.
-3*y*(y - 4)**2*(9*y - 2)/2
Factor 0 + 1/2*j**3 - 2*j + 0*j**2.
j*(j - 2)*(j + 2)/2
Let s(o) be the third derivative of -o**8/210 - 17*o**7/525 - o**6/15 - 2*o**5/75 + 3*o**2. Solve s(a) = 0.
-2, -1/4, 0
Suppose 36*h - 5*h - 62 = 0. Factor -4/7*o**3 + 2/7*o + 2/7*o**5 + 0*o**h + 0 + 0*o**4.
2*o*(o - 1)**2*(o + 1)**2/7
Let b(p) be the second derivative of p**4/24 - 5*p**3/12 + p**2 + 6*p. Find g, given that b(g) = 0.
1, 4
Let l = 216465/129244 + 243/409. Let o = l + -3/158. Factor 3/4*f**3 + 9/4*f + 3/4 + o*f**2.
3*(f + 1)**3/4
Let s = 45/52 - 8/13. Let f(x) be the first derivative of -1 - 1/2*x**2 + s*x**4 - 3/5*x**5 + 0*x + x**3. Factor f(q).
-q*(q - 1)*(q + 1)*(3*q - 1)
Let s be ((-20)/(-40))/(5/2). Factor 2/5*f**2 + 1/5*f + 0 - 2/5*f**4 - s*f**5 + 0*f**3.
-f*(f - 1)*(f + 1)**3/5
Factor 0 + 0*y + 3/7*y**2.
3*y**2/7
Let a = 117 + -467/4. Let l + 0 - a*l**3 + 0*l**2 = 0. What is l?
-2, 0, 2
Let i be (3 + 0 + -2)/(24/78). Factor -1/4*r + 9/4*r**2 + i*r**3 - 1/2 + 5/4*r**4.
(r + 1)**3*(5*r - 2)/4
Let d(q) be the first derivative of q**6/2 - 3*q**5/5 - 15*q**4/4 + 5*q**3 + 6*q**2 - 12*q + 27. Determine j, given that d(j) = 0.
-2, -1, 1, 2
Suppose -20*v**2 + 36*v**3 + 27/4*v**5 + 0 - 27*v**4 + 4*v = 0. What is v?
0, 2/3, 2
Solve -b**2 + 21/2 - 41/2*b = 0 for b.
-21, 1/2
Let m(f) = f + 4. Let u be m(-4). Suppose -5*z = -z - 5*t - 18, 16 = 4*z - 4*t. Let u + 14/9*q**z + 4/9*q = 0. Calculate q.
-2/7, 0
Let d = -8947/7 + 1281. Let s = d - 93/35. Find n such that 0 - 1/5*n**3 + 0*n + s*n**2 = 0.
0, 1
Factor 0*k**3 - 2*k**3 - 3*k**2 + 3*k - 2*k**3 - 2*k**3.
-3*k*(k + 1)*(2*k - 1)
Let y(c) = c**2 + 2*c. Let f be (1 - 4)/(0 + 1). Let i be y(f). Factor 6*z - 12*z**2 - 2 - 2*z**4 + 8*z**3 + 5*z - i*z.
-2*(z - 1)**4
Let z(m) be the first derivative of -m**6/9 - 4*m**5/15 + m**4/3 + 8*m**3/9 - m**2/3 - 4*m/3 + 9. Solve z(c) = 0.
-2, -1, 1
Suppose 20 = 3*u - 184. Let f = -339/5 + u. Factor 2/5 - 1/5*d**2 + f*d.
-(d - 2)*(d + 1)/5
Let r(w) be the third derivative of -2/735*w**7 + 1/105*w**5 + w**2 + 0 + 1/84*w**4 + 0*w**6 - 1/1176*w**8 + 0*w + 0*w**3. Factor r(o).
-2*o*(o - 1)*(o + 1)**3/7
Suppose -4*w + 4*o + 56 = 0, 5*w - 91 = -o - o. Suppose 13*d + 12 = w*d. Factor -3/2*n**3 - 3 + 3/2*n + d*n**2.
-3*(n - 2)*(n - 1)*(n + 1)/2
Factor -3*n - 2*n**3 + 2*n**3 + n - n**4 - 4*n**3 - 5*n**2.
-n*(n + 1)**2*(n + 2)
Let m be 8/(-96)*4 + 0 + 1. What is n in 10/3*n + 23/6*n**2 + 7/6*n**3 + m = 0?
-2, -1, -2/7
Factor -1/4 + 1/8*m**2 - 3/8*m + 1/8*m**4 + 3/8*m**3.
(m - 1)*(m + 1)**2*(m + 2)/8
Suppose 2*t = -7*t + 36. Suppose -4*l + 5*b + 32 = 4, -3*b - 12 = 0. Factor -1/2*c**3 - 1/2*c**t + 0*c**l + 0 + 0*c.
-c**3*(c + 1)/2
Let v(w) = -w**2 + 10*w + 6. Let i be v(11). Let r(p) = -p**2 + 4*p - 5. Let z(y) = -2*y + 2. Let l(a) = i*z(a) - 2*r(a). Factor l(q).
2*q*(q + 1)
Let z(x) be the first derivative of -2*x**2 + x**6 + 0*x - 1/2*x**4 - 2*x**5 + 10/3*x**3 + 6. Let z(k) = 0. Calculate k.
-1, 0, 2/3, 1
Suppose 4*i - 12 = 4*v, -5*v - i + 3*i - 24 = 0. Let m be 132/27 - v/(-27). Let 0 + m*c**5 + 4/3*c - 6*c**3 + 10/3*c**2 - 10/3*c**4 = 0. What is c?
-1, -2/7, 0, 1
Suppose 0 = 5*y - 11 + 1. Suppose y*q = -0*q. Suppose q - 1/4*x**2 - 1/4*x = 0. What is x?
-1, 0
Let k(u) be the third derivative of -u**8/336 - u**7/210 + u**6/60 + u**5/30 - u**4/24 - u**3/6 + 2*u**2. Factor k(l).
-(l - 1)**2*(l + 1)**3
Let b = 15 - 13. Factor 2/3*p**b + 0 - 1/3*p**3 - 1/3*p.
-p*(p - 1)**2/3
Let c = 1/67 - -65/134. Suppose 4*f**3 - 4*f + 8*f**4 - 15/2*f**2 - c = 0. Calculate f.
-1, -1/4, 1
Let f be -4*-3*(-1)/(-12) - -1. Let g(r) be the third derivative of -3*r**f + 1/3*r**3 + 1/12*r**5 + 0 - 7/24*r**4 + 0*r. Factor g(j).
(j - 1)*(5*j - 2)
Let b = -2993/11 + 273. What is s in 0*s - b*s**4 + 0 + 0*s**2 - 4/11*s**3 = 0?
-2/5, 0
Let f(g) be the third derivative of -g**6/300 - 9*g**5/50 - 81*g**4/20 - 243*g**3/5 + 6*g**2. Find i, given that f(i) = 0.
-9
Suppose -10 = -r - 5. What is t in 4*t - t + 0*t + r*t**3 - 6*t**3 + 2 = 0?
-1, 2
Let g be 16/14*2 - 36/18. Factor 4/7*p**3 + 4/7*p**2 - 2/7*p - 2/7 - 2/7*p**4 - g*p**5.
-2*(p - 1)**2*(p + 1)**3/7
Determine o so that 18*o**4 + 0*o**2 - 2*o**2 + 9*o**3 - 15*o**4 + 8*o**2 = 0.
-2, -1, 0
Let o(q) = -q**2 - 7*q - 4. Let w(i) = -2*i**2 - 2*i - 2. Let s be w(-2). Let z be o(s). Suppose -z*p**3 + 4*p + 0*p**2 - p**2 - 2*p**3 + 1 = 0. Calculate p.
-1, -1/4, 1
Let k(q) = q**2 - q. Let y(h) = 3*h**3 - 3*h**2 - 9*h + 9. Let z(b) = -6*k(b) - y(b). Factor z(j).
-3*(j - 1)**2*(j + 3)
Let n = -6 + 9. Let 6*s**4 + s**n - 3*s**3 - s**3 - 2*s**5 + 2*s**2 - 3*s**3 = 0. Calculate s.
0, 1
Determine x, given that 8/5*x - 4/5*x**2 + 0 = 0.
0, 2
Let i(d) be the third derivative of d**8/4480 - d**7/560 - 5*d**4/24 - 4*d**2. Let y(t) be the second derivative of i(t). Let y(a) = 0. What is a?
0, 3
Let s(a) = 5*a**2 - a - 5. Let d(v) = -v**2 + v + 1. Let w(p) = -d(p) - s(p). Solve w(r) = 0 for r.
-1, 1
Let f(s) be the second derivative of -1/84*s**4 - 1/21*s**3 + 0*s**2 - 10*s + 1/140*s**5 + 0. Find b, given that f(b) = 0.
-1, 0, 2
Let z(g) = 7*g**3 + 3*g**2 + 2*g - 6. Let f(p) = -7*p**3 - 2*p**2 - 2*p + 7. Let k(j) = 6*f(j) + 7*z(j). Find w such that k(w) = 0.
-1, -2/7, 0
Let m be (-85)/195 - 3/(-9). Let a = 206/273 - m. Find x such that a*x - 2/7*x**2 - 4/7 = 0.
1, 2
Factor 0*s**2 - 4/9*s + 2/9*s**4 + 4/9*s**3 - 2/9.
2*(s - 1)*(s + 1)**3/9
Let d be 2 - (-7)/9 - 1. Factor -2/9*w**3 - d*w - 8/9 - 10/9*w**2.
-2*(w + 1)*(w + 2)**2/9
Let t(n) = 9*n**3 - n**2 + 5. Let j(i) = -i**3 - 1. Let q(u) = -5*j(u) - t(u). Find c, given that q(c) = 0.
0, 1/4
Let l(w) be the first derivative of -w**4/2 + 2*w**3/3 + w**2 - 2*w - 8. Suppose l(c) = 0. Calculate c.
-1, 1
Let d be 1 + (-852)/16 - -1. Let p = d - -52. Factor -p*m**4 + 0 - 3/4*m**2 + 0*m - 3/2*m**3.
-3*m**2*(m + 1)**2/4
What is k in 9/5*k**2 - 6/5 - 3/5*k - 3/5*k**4 + 3/5*k**3 = 0?
-1, 1, 2
Let v(a) be the first derivative of 2*a**3/9 + 5*a**2/12 + a/6 + 15. Let v(z) = 0. Calculate z.
-1, -1/4
Suppose -12*b = -4*b - 24. Factor 0*w**b - 1/4*w**4 + 0*w**2 + 0 + 0*w + 1/4*w**5.
w**4*(w - 1)/4
Let p(n) = -4*n. Let h(z) = z**2 + 4*z - 6. Let q be h(-5). Let y be p(q). Let -1/3*j - j**3 - j**2 - 1/3*j**y + 0 = 0. What is j?
-1, 0
Let k(l) = 2*l - 7*l + 3 + 2*l**2 - 1 - 3*l**2. Let s be k(-3). What is v in -7*v**2 + 6*v - s*v**2 + 0*v**3 - 3*v**4 + 0*v**4 + 12*v**3 = 0?
0, 1, 2
Let -1/9*q**2 + 1/9*q + 0 = 0. What is q?
0, 1
Let i(f) be the first derivative of -3*f**5/20 + 3*f**4/8 + f**3/4 - 3*f**2/4 - 43. Determine l, given that i(l) = 0.
-1, 0, 1, 2
Let s = 90 + -539/6. Let f = 11/8 - 7/8. Factor -1/3 - s