b**2 + k*b**3 = 0.
-2, 0, 1
Let q(t) = -960*t**2 + 2883*t + 21. Let i(z) = 5. Let l(v) = -6*i(v) + q(v). Factor l(f).
-3*(f - 3)*(320*f - 1)
Let x(y) be the first derivative of y**4/14 + 46*y**3/21 + 43*y**2/7 + 6*y + 3117. Factor x(l).
2*(l + 1)**2*(l + 21)/7
Let z(w) be the second derivative of -w**7/378 + 23*w**6/135 - 43*w**5/12 + 650*w**4/27 - 1000*w**3/27 - 56*w + 36. Determine s, given that z(s) = 0.
0, 1, 5, 20
Let h(m) = m**2 - 5. Let t be h(-3). Suppose -r = 5*u - 5*r - 28, t*r - 12 = -5*u. Factor -u*q**4 - 16*q**3 - 8*q**2 - 2*q**4 + 0*q**4.
-2*q**2*(q + 2)*(3*q + 2)
Let f(r) be the first derivative of 0*r**3 + 1/30*r**5 + 0*r**2 - 6 + 1/36*r**4 - 16*r + 1/90*r**6. Let u(j) be the first derivative of f(j). Factor u(p).
p**2*(p + 1)**2/3
Let h be (21/2688)/(15/252). Let b(c) be the second derivative of 19*c + 0 + h*c**5 + 1/16*c**4 + 0*c**2 + 0*c**3. Determine w so that b(w) = 0.
-2/7, 0
Let u(b) = -2*b**2 - b + 17. Let o(z) = -17*z**2 + 278*z + 136. Let f(p) = 3*o(p) - 24*u(p). What is a in f(a) = 0?
0, 286
Let m(a) be the third derivative of -5/336*a**8 + 5*a**2 + 6 + 5/6*a**4 + 2/21*a**7 + 0*a**3 - 1/3*a**5 - 1/8*a**6 + 0*a. Determine z so that m(z) = 0.
-1, 0, 1, 2
Let b be 12/36 - (-26)/(-12)*-10. Let m be (b/(-154))/((0 + -3)/3690). What is c in m*c**4 + 272/7*c**2 + 96/7*c - 1216/7*c**3 - 50*c**5 - 32/7 = 0?
-2/7, 2/5, 1, 2
Determine t, given that 174 - 90 + 27*t + 646*t**4 + 132 + 3*t**5 - 30*t**3 - 240*t**2 - 622*t**4 = 0.
-8, -3, -1, 1, 3
What is q in -4/5*q**3 + 4/5*q - 3988/5*q**2 + 3988/5 = 0?
-997, -1, 1
Let d be 19/(-76)*70 + 18. Let i(t) be the first derivative of -t**2 + 2*t - 12 + d*t**4 - 2/3*t**3. Factor i(w).
2*(w - 1)**2*(w + 1)
Suppose -y = -p + 9, -2*y - 22 = -0*p - p. Let z(i) = 2*i + 28. Let t be z(y). Solve -9*s + 16 + 17*s**2 + 9*s**2 - 30*s**t - 3*s = 0.
-4, 1
Let h(s) be the first derivative of -25/8*s**2 - 1/4*s**3 - 91 - 2*s. Factor h(v).
-(v + 8)*(3*v + 1)/4
Let h(k) be the second derivative of k**4/12 + k**3 + 9*k**2/2 + 1481*k. Find l, given that h(l) = 0.
-3
Factor 37/3*k - 37/3*k**3 + 1/6*k**4 - 38/3*k**2 + 25/2.
(k - 75)*(k - 1)*(k + 1)**2/6
Let m(h) be the second derivative of -11/8*h**3 + 9*h - 3/16*h**4 - 9 + 3/2*h**2. Factor m(k).
-3*(k + 4)*(3*k - 1)/4
Let 2116000/3 + 188600*p + 205*p**3 + 84845/6*p**2 + 5/6*p**4 = 0. Calculate p.
-115, -8
Let j(r) be the second derivative of -3*r**5/80 + 4*r**4 + r**3/8 - 24*r**2 - 568*r. Suppose j(q) = 0. What is q?
-1, 1, 64
Let s = 4782 - 4779. Let b(w) be the second derivative of -3/5*w**2 + 6*w - 1/2*w**s + 1/10*w**4 + 0 + 3/20*w**5. Determine g so that b(g) = 0.
-1, -2/5, 1
Let 185*t**3 + 441*t - 100*t**4 - 470*t + 352*t + 60 - 7*t + 730*t**2 + 189*t = 0. What is t?
-1, -3/20, 4
Let s = 40945 + -368501/9. Let 0 + s*v**3 + 0*v**2 + 2/9*v**4 + 0*v = 0. What is v?
-2, 0
Let q(c) = -c**2 - 7*c + 8. Let n be q(-8). Suppose 5*m + 5*o - 5 = 0, 15*m - 20*m + o - 1 = n. Solve m*j + 2/5*j**2 + 0 = 0.
0
Let m(a) = 3*a**2 + 141*a + 1113. Let n be m(-10). Factor d**n + 0 - 4/3*d - 1/3*d**5 + 2/3*d**4 - 4/3*d**2.
-d*(d - 2)**2*(d + 1)**2/3
Factor -o**4 - o - 6713*o**2 + 19*o + 4*o**4 + 6692*o**2.
3*o*(o - 2)*(o - 1)*(o + 3)
Suppose -3885*n**2 + 920*n**3 - 1215*n**3 - 9610 + 1765*n - 5*n**4 + 12030*n = 0. Calculate n.
-31, 1, 2
Let s(x) be the second derivative of 2*x**6/15 - 28*x**5/5 + 65*x**4 + 56*x**3/3 - 392*x**2 + 7318*x. Suppose s(j) = 0. What is j?
-1, 1, 14
Let b = -467 - -470. Determine u, given that -25*u**2 - 77*u**2 - u**4 + 5 - 103 - 224*u - 12*u**2 - 30 - 19*u**b = 0.
-8, -2, -1
Let s(g) = -g**3 - 4*g**2 - 2*g - 2. Let m be s(-4). Suppose 5*d - m = -2*r, -d - 2*r + 8 = -5*r. Factor 3/5*f**d + 0 + 3/5*f**3 + 0*f.
3*f**2*(f + 1)/5
Let -10*o**3 - 2/5*o**4 - 48 - 334/5*o**2 - 526/5*o = 0. What is o?
-15, -8, -1
Let w = -173 + 189. Suppose -19*b + 46*b - 15*b - b**3 + w = 0. What is b?
-2, 4
Let l(b) be the third derivative of 19/150*b**6 + 0*b**3 + 0 - 2/15*b**5 + 12*b - 11/525*b**7 - 2/5*b**4 + 2*b**2. Factor l(q).
-2*q*(q - 2)**2*(11*q + 6)/5
Factor -66*c**3 - 101*c**4 - 150 + 3*c**5 + 74*c**4 - 402*c**2 - 30*c**3 - 435*c + 51*c**4.
3*(c - 5)*(c + 1)**3*(c + 10)
Let h(q) = -25*q**2 + 60*q + 64. Let y(x) = 36*x**2 - 90*x - 96. Let t(k) = -10*h(k) - 7*y(k). Solve t(c) = 0 for c.
-1, 16
Let s(g) be the second derivative of g**5/190 - 4*g**4/57 + 669*g. Determine d, given that s(d) = 0.
0, 8
Let n be -5 - (258/54 + (-8)/(-36)). Let x be 8 - (-21)/70*n. Let -11/3*u**3 - 2/3 - 8*u**2 - x*u = 0. Calculate u.
-1, -2/11
Let -10 - 100*t**2 - 34*t**3 - 2*t**4 + 172 - 14*t - 6*t**2 - 6 = 0. What is t?
-13, -3, -2, 1
Let d = -41 - -7. Let l = 36 + d. Solve -4*s**2 - s**4 - 2*s**4 - 8*s**3 + 1 - 6*s**l + 4*s**2 = 0 for s.
-1, 1/3
Suppose 3*m - 16 = 11. Factor 3*h**2 + 8*h**4 - 7*h**2 + h**2 + 5*h**3 - m*h - 9*h**4.
-h*(h - 3)**2*(h + 1)
Let q = -4042 - -4047. Let y(t) be the second derivative of 1/10*t**q - 1/6*t**4 + 0*t**3 - 11*t + 0*t**2 + 0. Factor y(j).
2*j**2*(j - 1)
Let f(r) be the second derivative of -r**6/90 - 7*r**5/45 + 4*r**4/9 - 4*r**2 - 144*r + 1. Let g(s) be the first derivative of f(s). What is i in g(i) = 0?
-8, 0, 1
Suppose 445*n - 2 = 444*n. Factor 45 + 80*j**n + 6*j - 166*j**2 + 83*j**2.
-3*(j - 5)*(j + 3)
Let v(n) be the first derivative of 96*n**3 + 186*n**2 - 1211*n**4 - 9*n - 29 + 1216*n**4 + 113*n. Solve v(x) = 0 for x.
-13, -1, -2/5
Let g be 47944/936*(3 - 0). Let q = 155 - g. Find a, given that -2/3*a**2 + q + 2/3*a = 0.
-1, 2
Let q(h) be the second derivative of h**5/70 - 5*h**4/14 + 62*h**3/21 - 72*h**2/7 - 1929*h. Factor q(b).
2*(b - 9)*(b - 4)*(b - 2)/7
Suppose 9*j + 16 = 52. Determine s, given that 8/5 - 16/5*s**j - 32/5*s**3 + 72/5*s**2 - 44/5*s + 12/5*s**5 = 0.
-2, 1/3, 1
Let f(n) be the first derivative of -1/18*n**4 + 4/9*n**3 + 0*n - n**2 + 125. Factor f(c).
-2*c*(c - 3)**2/9
Determine u, given that -23/3 - 1/12*u**2 + 9/4*u = 0.
4, 23
Find q, given that -2/3*q**4 + 8*q - 70/3*q**2 + 24 - 8*q**3 = 0.
-6, -1, 1
Suppose 5*q + 224*k = 221*k + 4, 0 = 5*q + 4*k - 2. Let i(d) be the second derivative of 9*d + 100*d**q + 20/3*d**3 + 1/6*d**4 + 0. Solve i(m) = 0 for m.
-10
Let w(u) be the third derivative of 0*u**3 + 1/30*u**5 + 0*u**4 + 13*u + 1/240*u**6 + 0 + 4*u**2. Determine f, given that w(f) = 0.
-4, 0
Let m(c) = -c**2 - 38*c - 32. Let t be m(-42). Let u be (-5)/4 + ((-1210)/t - 4). Factor -u*z + 6/5*z**3 - 2*z**2 + 0.
2*z*(z - 2)*(3*z + 1)/5
Let y(h) be the third derivative of 19*h**6/60 - 25*h**5/4 + 75*h**4/2 + 125*h**3/6 + 9*h**2 + 326*h. Determine p so that y(p) = 0.
-5/38, 5
Suppose 5*z - 45 = 3*a, 153*a + 50 = 148*a. Factor 0*r**2 + 125/3*r**z + 5/3*r**5 + 50/3*r**4 + 0 + 0*r.
5*r**3*(r + 5)**2/3
Let u = -31559533/19 + 1661039. Solve 2/19*s**2 - u*s + 5408/19 = 0.
52
What is h in -2/3*h**3 + 2*h**2 + 26/3*h - 10 = 0?
-3, 1, 5
Let c = 320 + -343. Let k be 4 + 0 + -1 + 23 + c. Factor 2/7*p**4 + 48/7*p + 18/7 + 44/7*p**2 + 16/7*p**k.
2*(p + 1)**2*(p + 3)**2/7
Let u be 153387/30609 + (-22)/1969. Find l, given that 396/5*l**4 + 9604/5 + 20384/5*l**2 + 14/5*l**u + 4228/5*l**3 + 39102/5*l = 0.
-7, -2/7
Let k be ((-46)/6)/((120/(-36))/10). Let -20*y**2 + k*y**2 + 95*y - 5*y = 0. Calculate y.
-30, 0
Suppose 27*l + 4*u = 29*l - 8, -4*l = 5*u + 10. Suppose -26/9*y**2 - 4/3*y + l + 10/9*y**3 = 0. What is y?
-2/5, 0, 3
Let y(k) = 63*k**2 - 3035*k - 3034. Let l(h) = -235*h**2 + 12140*h + 12135. Let z(i) = -4*l(i) - 15*y(i). Factor z(f).
-5*(f + 1)*(f + 606)
Let a(q) be the third derivative of q**5/450 + 41*q**4/60 + 242*q**3/45 + 5141*q**2. Suppose a(w) = 0. What is w?
-121, -2
Solve -200/3*s - 820/3*s**2 - 430/3*s**3 - 35/3*s**4 + 0 = 0 for s.
-10, -2, -2/7, 0
Let l = 4 - -63. Factor -16*i**2 + 68*i**3 - 11 - 5*i**2 - 8 + 39*i - l*i**3.
(i - 19)*(i - 1)**2
Let h(b) be the second derivative of b**7/84 - b**6/30 - 3*b**5/40 + b**4/3 - b**3/3 - 31*b - 13. Suppose h(z) = 0. What is z?
-2, 0, 1, 2
Let f = 342 + -189. Factor -311*u + 198*u - 5*u**2 + f*u.
-5*u*(u - 8)
Suppose 0 = 244*j - 254*j - 300. Let u be j/45*(-9)/2. Solve 27/4*b + 1/4*b**u + 27/4 + 9/4*b**2 = 0 for b.
-3
Let h(l) be the second derivative of -1/2*l**3 - 1/4*l**4 + 0 + 0*l**2 + 137*l. Determine w, given that h(w) = 0.
-1, 0
Factor 3/7*c**4 + 348843/7*c + 50127*c**2 + 