or c(x).
-2*x*(x - 1)*(x + 1)**2/7
Let u(z) = 2*z + 5. Let b be u(-4). Let j(v) = -20*v**2 + 94*v + 86. Let l(m) = 4*m**2 - 19*m - 17. Let s(q) = b*j(q) - 14*l(q). Factor s(p).
4*(p - 5)*(p + 1)
Suppose 28/3*j + 7/3*j**2 - 1/3*j**3 + 20/3 = 0. What is j?
-2, -1, 10
Let p(r) = r - 5. Suppose 5*s = 4*s + 10. Let j be p(s). Determine g so that -5*g**2 - 73*g**j - 80*g**3 + 0*g**2 - 89*g**5 - 234*g**4 - 3*g**2 = 0.
-1, -2/9, 0
Let q(t) be the second derivative of t**4/48 + 10*t**3/3 - 81*t**2/8 - 363*t. Factor q(h).
(h - 1)*(h + 81)/4
Let l(r) = -3*r - 7. Let x be l(-3). Factor -6*j**4 + 4*j**3 + x*j**4 - 22*j**5 + 19*j**5.
-j**3*(j + 2)*(3*j - 2)
Let q(b) be the second derivative of b**6/40 + 9*b**5/80 + b**4/16 - 3*b**3/8 - 3*b**2/4 - b + 273. Suppose q(j) = 0. Calculate j.
-2, -1, 1
Let p(g) be the third derivative of g**7/273 - 53*g**6/780 + 51*g**5/130 - 55*g**4/156 - 50*g**3/39 - 20*g**2 + g. Find t such that p(t) = 0.
-2/5, 1, 5
Let o(r) be the second derivative of 5/3*r**4 + 5*r + 6*r**3 + 4*r**2 - 9/5*r**5 - 14/15*r**6 + 0. Suppose o(b) = 0. What is b?
-1, -2/7, 1
Let r(n) be the second derivative of -n**4/114 + 10*n**3/57 - 9*n**2/19 - 50*n. Suppose r(y) = 0. What is y?
1, 9
Let p(k) be the second derivative of 24*k - 1/12*k**4 + 0 - 3/2*k**2 + 2/3*k**3. What is d in p(d) = 0?
1, 3
Let i(k) = -2*k + 42. Let x be i(19). Factor x*p**3 + 5*p**4 - p + 7*p**3 - 5*p**2 + 16*p - 26*p**3.
5*p*(p - 3)*(p - 1)*(p + 1)
Suppose 0 - 22*r**2 + 124/3*r + 2/3*r**3 = 0. What is r?
0, 2, 31
Factor 0 + 0*q + 85*q**3 - 20/3*q**4 + 65/3*q**2.
-5*q**2*(q - 13)*(4*q + 1)/3
Suppose -3*j = 4 - 25. Let l(w) = -w**3 + 8*w**2 - 6*w - 5. Let i be l(j). What is h in 7*h + 4*h**4 - 2*h - 1 + 0*h**i - 5*h**3 - 3*h**2 = 0?
-1, 1/4, 1
Let p(c) be the first derivative of -9*c**2 - 1/6*c**4 - 18*c + 36 - 2*c**3. Determine w so that p(w) = 0.
-3
Suppose -5*m = -17 - 3. Factor 3*j**3 + 3*j**2 + 0*j + j + j**m - 42 + 42.
j*(j + 1)**3
Suppose -2*i + 4*h = -16, -2*i - i - 4*h - 6 = 0. Factor 1/7*f**i - 1/7*f + 0.
f*(f - 1)/7
Let y = -12989/30 - -1334/3. Let w = y - 23/2. Factor w*n**2 + 0 - 1/5*n**4 + 1/5*n**3 - 1/5*n.
-n*(n - 1)**2*(n + 1)/5
Let u(p) be the first derivative of p**4/6 + 16*p**3/9 - 44*p**2/3 + 32*p + 20. Factor u(l).
2*(l - 2)**2*(l + 12)/3
Let z(n) = -n**2 - 35*n - 46. Let c(l) = 15*l**2 + 490*l + 645. Let h(s) = -4*c(s) - 55*z(s). Factor h(y).
-5*(y + 2)*(y + 5)
Let m(u) = 32*u**3 - 168*u**2 + 176*u + 60. Let q(n) = -33*n**3 + 170*n**2 - 176*n - 59. Let h(k) = -5*m(k) - 4*q(k). Factor h(g).
-4*(g - 4)*(g - 2)*(7*g + 2)
Let o(a) be the first derivative of a**6/15 - a**5/10 - a**4/3 + 9*a + 15. Let f(q) be the first derivative of o(q). Determine u so that f(u) = 0.
-1, 0, 2
Let a(d) = -1. Let l(m) = -m**2 - m - 7. Let i(w) = 5*a(w) - l(w). Let r(h) = -4*h**2 - 3*h - 7. Let x(v) = 14*i(v) + 4*r(v). Find c, given that x(c) = 0.
0, 1
Suppose -3*n + 2*d + 2 + 3 = 0, 0 = n - 5*d + 7. Let l = 5 - n. Solve -j + j**3 - 2*j - j**l + j**4 + 2*j + 0*j**4 = 0.
-1, 0, 1
Let y(i) be the third derivative of i**6/80 + 7*i**5/40 + 3*i**4/8 + 2*i**2 + 78*i. Solve y(n) = 0.
-6, -1, 0
Factor -22/7 + 2/7*f**2 - 20/7*f.
2*(f - 11)*(f + 1)/7
Let y(a) be the first derivative of -32*a**3/21 + 24*a**2/7 - 18*a/7 - 246. Factor y(w).
-2*(4*w - 3)**2/7
Let o(r) be the first derivative of 2*r**3/3 + 77*r**2/2 - 120*r + 131. What is v in o(v) = 0?
-40, 3/2
Let h(f) = 5 + 8*f**4 - 4*f**4 - f**4 - 9*f**3. Let a(v) = -3*v**4 + 9*v**3 - 6. Let i(g) = 5*a(g) + 6*h(g). Solve i(r) = 0 for r.
0, 3
Suppose 3*o + 24 = r, 0 = 3*r + 2*o - 78 - 5. Determine p so that r*p**4 - 12*p - 1763 + 36*p**2 + 75*p**3 + 1763 = 0.
-2, -1, 0, 2/9
Let p = -28897 - -57801/2. Find y, given that -1/4*y**5 - 9*y - p*y**4 + 0 - 61/4*y**3 - 21*y**2 = 0.
-6, -1, 0
Let n(c) be the first derivative of 5/2*c**2 + 25/2*c + 1/6*c**3 + 3. Factor n(b).
(b + 5)**2/2
Let b(s) be the third derivative of -s**5/15 + 13*s**4/6 + 28*s**3/3 - 121*s**2. Find o such that b(o) = 0.
-1, 14
Let q be -1 + (2 - (-3 - -2)). Let l(i) = i**3 - 7*i**2 + 6*i + 5. Let o be l(6). Factor -q*p**2 - 7*p + 3 - o + 3*p.
-2*(p + 1)**2
Suppose -3*u + 4 = 10. Let m be (3/u)/((-27)/(-12) + -6). Find d such that -m*d**2 - 1/5*d**4 + 0*d + 0 - 3/5*d**3 = 0.
-2, -1, 0
Suppose -3*r + v - 3*v = -53, 0 = -3*r - 4*v + 61. Suppose -r + 20*u + 15 - 2*u - 10*u**3 + 2*u**4 + 6*u**2 = 0. Calculate u.
-1, 0, 3
Let z(u) be the first derivative of -2*u**6/21 - 4*u**5/7 - 8*u**4/7 - 16*u**3/21 + 311. Factor z(c).
-4*c**2*(c + 1)*(c + 2)**2/7
Let x = -13/2 - -7. Let o be (200/(-120))/(0 + 2 + 58/(-24)). Suppose -z + z**3 + 1/2*z**2 + 0 - x*z**o = 0. What is z?
-1, 0, 1, 2
Suppose -54 = i - 54. Let j(a) be the second derivative of -1/60*a**6 + 0*a**3 + 0*a**4 + 0 + 3*a + i*a**2 - 1/40*a**5. Factor j(c).
-c**3*(c + 1)/2
Suppose -79/4*a + 7/4*a**2 + 11/2 = 0. Calculate a.
2/7, 11
Suppose 3*d - 2*z - 18 = 0, d - 4*z = -0*d + 16. Suppose 0 = 3*s + 2*s + 4*q - 30, -3*s + 2*q - d = 0. Factor 6 + 21*h**2 + 0*h + 3*h**3 + 15*h - 9*h**s.
3*(h + 1)**2*(h + 2)
Let r(w) = w**4 - 8*w**3 - 34*w**2 - 31*w - 18. Let f(b) = b**4 - 18*b**3 - 68*b**2 - 63*b - 34. Let z(n) = -3*f(n) + 5*r(n). What is g in z(g) = 0?
-3, -2, -1
Let k(g) be the first derivative of g**4/4 + 3*g**3 + 9*g**2 + 32*g + 19. Let m be k(-7). Solve 0 + 0*b**2 + 4/7*b**3 + 0*b + 2/7*b**m = 0 for b.
-2, 0
Suppose -5*k + 72 = 2*o, 4*k - 2*o - 55 = -o. Let t = -9 + k. Find b, given that -t*b**2 + 4*b**2 + 2*b**2 = 0.
0
Let a(u) be the third derivative of u**5/30 + 3*u**4/10 + 16*u**3/15 + 4*u**2 + 7. Factor a(q).
2*(q + 2)*(5*q + 8)/5
Let m(t) = t**2 - 8*t + 3. Let c be m(8). Solve 4*w + 0*w**3 - 2*w - 8*w**3 + 6*w**c = 0 for w.
-1, 0, 1
Let z(h) be the third derivative of -h**8/20160 - h**7/504 - 5*h**6/144 - 13*h**5/30 + 2*h**2. Let s(f) be the third derivative of z(f). Factor s(b).
-(b + 5)**2
Let l = 179 + 29. Let o be l/4 + (2 - 0). Factor 0*i**3 + 4*i**4 - 60*i**5 + 2*i**3 + o*i**5.
-2*i**3*(i - 1)*(3*i + 1)
Suppose l = -3 + 6. Let y(r) be the second derivative of r**4/12 + 4*r**3 + 18*r**2 + r + 8. Let o(s) = 24*s + 36. Let k(j) = l*o(j) - 4*y(j). Factor k(c).
-4*(c + 3)**2
Let x(n) be the second derivative of -n**7 - 9*n**6/2 - 21*n**5/20 + 3*n**4/2 + n - 25. Solve x(p) = 0.
-3, -1/2, 0, 2/7
Let l be (4 + -1)/(-3)*-5. Let c(y) be the first derivative of 5/9*y**3 + 1/3*y**2 - l + 0*y + 1/4*y**4. Factor c(w).
w*(w + 1)*(3*w + 2)/3
Let o(n) be the first derivative of n**5/60 - n**3/18 - 9*n + 3. Let x(u) be the first derivative of o(u). Factor x(f).
f*(f - 1)*(f + 1)/3
Let y = -52 + 160/3. Let f = -29842 + 29846. Factor 4/3*b**2 + 4*b**3 + y*b**f - 8/3 - 4*b.
4*(b - 1)*(b + 1)**2*(b + 2)/3
What is q in -30*q**4 + 2*q - 15*q - 27*q + 5*q**5 + 30*q**2 + 35*q**3 = 0?
-1, 0, 1, 2, 4
Let h(c) be the first derivative of -2*c**5/75 + c**4/5 - 8*c**3/15 + 2*c**2/3 - 2*c/5 + 118. Suppose h(u) = 0. What is u?
1, 3
Factor -1168 - 72*s + 29*s**2 + 4*s + 1165 - 6*s**2.
(s - 3)*(23*s + 1)
Let z(b) be the second derivative of -1/6*b**2 + 0*b**3 + 0 - 15*b + 1/36*b**4. Determine r, given that z(r) = 0.
-1, 1
Let l = -2679953/403 - -6650. Let x = 7233/2821 - l. Solve -18/7*f + x*f**3 - 10/7*f**2 - 4/7 + 2*f**4 = 0.
-1, -2/7, 1
Find z such that 6*z**2 - 4*z**2 + 4*z**2 + 5*z - 13*z - 2*z**5 - 6*z**4 + 10*z**3 = 0.
-4, -1, 0, 1
What is v in -1/9*v + 10/3 + 1/9*v**3 - 10/3*v**2 = 0?
-1, 1, 30
Let y(r) be the third derivative of 0*r**4 + 3/70*r**5 - 13*r**2 + 0 - 16/7*r**3 + 0*r - 1/280*r**6. Factor y(a).
-3*(a - 4)**2*(a + 2)/7
Let z be 24/9 - 4/6. Let h be 6*1/8*8/3. Factor 6 + d**z - 2*d - d - 10*d**h.
-3*(d + 1)*(3*d - 2)
Let z(m) be the second derivative of 4/15*m**6 - 26*m - 3/5*m**5 + 0*m**2 + 2/21*m**7 + 0 + 0*m**3 + 0*m**4. Suppose z(a) = 0. Calculate a.
-3, 0, 1
Let h = 2/21 + 5/21. Let x(g) be the first derivative of -1/2*g**2 - 5 + 2*g - h*g**3. Let x(n) = 0. Calculate n.
-2, 1
Let y be 917/133 + -3 + 2/19. Determine d, given that 4/5*d**y + 0 + 2/5*d**2 + 0*d + 6/5*d**3 = 0.
-1, -1/2, 0
Factor -84*s**3 + 34*s**3 - 5*s**4 + 4 - 4 - 45*s**2.
-5*s**2*(s + 1)*(s + 9)
Let j = -1487/28 + 377/7. Suppose -7/4*q + 5/4*q**2 + j - 1/4*q**3 = 0. Calculate q.
1, 3
Let v be 756/182 - (1 + 3). Factor 6/13*b**3 + 2/13*b**2 + 0 - v*b + 4/13*b**5 