
-(i - 18)*(i - 1)
Suppose -5*g - 5*b + 438 = -1862, -2*b + 6 = 0. Let p = g + -1825/4. Factor 0 + 3/4*y**3 - 3/2*y**2 + p*y.
3*y*(y - 1)**2/4
Let s = -16664 + 16667. Let t(p) be the third derivative of 1/36*p**5 + 5/3*p**s + 0*p + 35/72*p**4 + 12*p**2 + 0. What is f in t(f) = 0?
-6, -1
Suppose q**5 + 5/4*q**4 - 77/2 - 377/4*q + 869/4*q**2 - 347/4*q**3 = 0. Calculate q.
-11, -1/4, 1, 2, 7
Let a be (9/(-4))/3*460/(-69). Let y(i) be the first derivative of 18/7*i**3 + 24/7*i**2 + 3/35*i**a + 6/7*i**4 + 15/7*i + 19. Let y(v) = 0. Calculate v.
-5, -1
Suppose 4*h - n - 517 = 0, -4*n = 5*h + 226 - 867. Let 2*k**5 - h*k**3 - 17*k**4 - 68 - 219*k**2 - 168*k - 3*k**5 + 20 - 16*k**4 - 2*k**5 = 0. What is k?
-4, -1
Determine d, given that 0 + 60/19*d**3 - 2/19*d**2 - 60/19*d + 2/19*d**4 = 0.
-30, -1, 0, 1
Let u(w) be the second derivative of 10/3*w**3 - 5/14*w**7 + 5/3*w**4 + 218*w + 0 + 7/3*w**6 - 19/4*w**5 + 0*w**2. Solve u(d) = 0.
-1/3, 0, 1, 2
Suppose -11*a + 12*a - 5*k + 3 = 0, 2*k + 6 = 4*a. Find h such that -105*h**2 - 117*h**a + 221*h**2 - 34*h - 289 = 0.
-17
Suppose q - 2*r = -6, -32 = -5*q + 3*r - 48. Let k be (18/(-30))/(q/10). Factor 0*n - 1/5*n**k + 0 + 1/5*n**2.
-n**2*(n - 1)/5
Let m = -2195 - -48291/22. Let p(h) be the second derivative of 0 + 13*h - 21/11*h**2 + m*h**4 - 6/11*h**3. Factor p(l).
6*(l - 7)*(l + 1)/11
Let j = -56 - -52. Let a be (j/10)/((-6)/30). Suppose 2*z**a + 10*z**2 + 5*z + z**4 + 6*z**3 + 3 + 5*z = 0. Calculate z.
-3, -1
Let o(r) be the third derivative of 5*r**2 + 0*r**3 + 0*r**4 + 0 - 1/12*r**5 + 6*r. Solve o(t) = 0 for t.
0
Suppose 13 = -4*x - 3. Let d = x + 7. Factor -2 + 0*m**3 + 3*m + 2*m**3 - 1 + 3*m**2 - 5*m**d.
-3*(m - 1)**2*(m + 1)
Suppose 67*v - 29*v = 31*v + 1701. Factor 53/3*u**2 - 1/3*u**3 - 225*u - v.
-(u - 27)**2*(u + 1)/3
Let z(g) be the third derivative of -2*g**7/315 + g**6/15 + g**5/45 - g**4/3 + 1753*g**2. Factor z(k).
-4*k*(k - 6)*(k - 1)*(k + 1)/3
Suppose 5*o + 7*y - 56 - 1 = 0, o + 3*y - 21 = 0. Factor -2*r**o + r**2 + 6*r - 9/2 - 1/2*r**4.
-(r - 1)**2*(r + 3)**2/2
Let l be 2/3 + (-10812)/153. Let k be (1 - l/(-60))/(2/(-4)). Factor 8/3*x - k*x**2 - 16/3.
-(x - 4)**2/3
Determine r, given that -74*r**2 - 92*r**3 - 140*r**2 - 12*r**4 - 228*r + 9*r**2 - 91*r**2 - 72 + 60*r**2 = 0.
-3, -1, -2/3
Suppose -2*p = -18*q + 648, -3*q - 20*p + 16*p + 108 = 0. Factor -24*i**2 - q*i - 20/3*i**3 - 2/3*i**4 - 18.
-2*(i + 1)*(i + 3)**3/3
Factor 181*p - 541*p**2 - 256*p + 542*p**2 + 650.
(p - 65)*(p - 10)
Let t = -62 - -69. Let p = 9 - t. Solve -8*z**2 - 7*z**2 + 2*z**4 + p*z**4 + 3*z**2 - 8*z = 0.
-1, 0, 2
Let j be (15 + -20)*(-68)/(-1190) + (-6)/(-21). Let -4/5*k**3 - 1/5*k**5 + j + k - 6/5*k**4 + 6/5*k**2 = 0. What is k?
-5, -1, 0, 1
Let j(d) be the third derivative of d**7/18900 - d**5/900 - 13*d**4/8 + d**3/6 + 52*d**2. Let l(t) be the second derivative of j(t). Factor l(u).
2*(u - 1)*(u + 1)/15
Let j be 15/25 + (-34)/(-10). Suppose 4*u = -3*g + 12, 0 = -j*g + g. Factor -156*w + 24 - 134*w**3 + 26*w**u + 246*w**2 - 33*w**3 + 27*w**4.
3*(w - 2)**2*(w - 1)*(9*w - 2)
Let h(a) = 7*a**2 + a**3 - 9*a + 1 + 0 - 2 - 2. Let t be h(-8). Factor w**3 - t*w**3 - 2*w**4 - 2*w**2 + 5*w**3 + 3*w**3.
-2*w**2*(w - 1)**2
Let k(l) = 2*l**3 + l**2 - l + 4. Let n be k(-2). Let z be -3*-5*n/(-315). Factor -z*v**2 - 4/7 + 6/7*v.
-2*(v - 2)*(v - 1)/7
Let x(c) = 4*c**5 + 31*c**4 - 24*c**3 + 79*c**2 - 13*c. Let m(u) = u**5 + 10*u**4 - 10*u**3 + 26*u**2 - 5*u. Let q(n) = 7*m(n) - 2*x(n). Factor q(k).
-k*(k - 3)**2*(k - 1)**2
Let o be ((2/30)/(-1 - (-143)/110))/(1/3). Factor 0*g**2 + 0 + o*g**5 + 0*g - 16/3*g**4 + 0*g**3.
2*g**4*(g - 8)/3
Factor -117/5 - 1/5*n**2 + 42/5*n.
-(n - 39)*(n - 3)/5
Suppose 15*r - 8*r - 210 = 0. Let u be (-304)/r*3*-5. Suppose u*t**3 - 147*t**3 - 2*t**2 - 13*t**2 + 20 = 0. What is t?
-1, 2
Let y = -3400 + 3277601/964. Let t = y - -15419/4820. Let 4*w - t - 4/5*w**2 = 0. What is w?
1, 4
Let r(x) be the first derivative of -x**4/2 + 32*x**3/3 - 15*x**2 + 2911. Solve r(n) = 0.
0, 1, 15
Let h be 466/(-210) + 2 + (-12)/(-42) - (-6213)/4905. Factor 1/3*y**3 + 0 + 4/3*y - h*y**2.
y*(y - 2)**2/3
Find t, given that 59/3*t + 1/3*t**4 + 0 + 61/3*t**3 + 119/3*t**2 = 0.
-59, -1, 0
Find b, given that -816/7*b**2 + 20/7*b**3 + 0*b + 4/7*b**4 + 0 = 0.
-17, 0, 12
Let f(q) = q**3 - q - 2. Let t(d) = d**3 + 139*d - 10. Let r(l) = -5*f(l) + t(l). Factor r(v).
-4*v*(v - 6)*(v + 6)
Let j(q) be the first derivative of 0*q**2 - 9 + 16/5*q**4 + 0*q**3 + 32/25*q**5 + 2/15*q**6 + 0*q. Factor j(n).
4*n**3*(n + 4)**2/5
Let k(x) = 7*x - 131. Let n be k(19). Let q(r) be the second derivative of 1/12*r**4 + 0 - 2*r**n + 0*r**3 + 9*r. Solve q(u) = 0 for u.
-2, 2
Let w(l) = 1974*l - 5920. Let f be w(3). Factor -20/9*q + 2/9*q**f + 14/3.
2*(q - 7)*(q - 3)/9
Let n be (30/(-8) - 1/4) + -47 + 53. Let p(d) be the third derivative of 0*d + 7/4*d**4 - 49/2*d**3 - 1/20*d**5 + 0 + 5*d**n. Determine u, given that p(u) = 0.
7
Let g(b) = 39*b**3 - 123*b**2 + 1203*b + 3. Let z(f) = 105*f**3 - 368*f**2 + 3608*f + 8. Let d(h) = -8*g(h) + 3*z(h). Factor d(n).
3*n*(n - 20)**2
Let x(y) be the second derivative of -1/20*y**5 - 12*y + 0 + 0*y**3 - 1/120*y**6 + 29/2*y**2 - 1/12*y**4. Let c(g) be the first derivative of x(g). Factor c(b).
-b*(b + 1)*(b + 2)
Let b = 144619/10 + -14461. Let l(u) be the second derivative of -b*u**5 + 12*u + 0*u**3 - 1/10*u**6 + 0*u**2 + 0 + 0*u**4. Determine c, given that l(c) = 0.
-6, 0
Let y(t) be the third derivative of 0*t - 4/3*t**4 + 14/3*t**3 - 139*t**2 + 1/15*t**5 + 0. Suppose y(m) = 0. What is m?
1, 7
Let w(i) be the first derivative of i**3/12 - 93*i**2/4 + 8649*i/4 + 880. Suppose w(t) = 0. Calculate t.
93
Let p = 408 + -406. Factor 35 + 1 - y**p + 6*y**2 + 4*y**2 - 39*y - 6*y**2.
3*(y - 12)*(y - 1)
Let m(d) be the second derivative of d**5/20 + 23*d**4/12 + 11*d**3/3 - 5673*d. Factor m(r).
r*(r + 1)*(r + 22)
Let q = -461 - -241. Let x = q + 1321/6. Factor 0*j + x*j**3 + 0*j**2 + 0 + 0*j**4 - 1/6*j**5.
-j**3*(j - 1)*(j + 1)/6
Let l = -3 + 5. Let f be ((63/24 - 3)/(5/60))/(-1). Let -f - 3/2*k**l + 6*k = 0. What is k?
1, 3
Let o = 2624825/13 - 201909. Solve 24/13 + 2/13*w**5 - o*w**4 - 12/13*w**3 + 32/13*w**2 + 58/13*w = 0 for w.
-1, 3, 4
Suppose 182*f - 114*f - 136 = 0. Let c(x) be the first derivative of -5*x**f + 14 - 12*x + 1/2*x**4 + 4/3*x**3. Factor c(i).
2*(i - 2)*(i + 1)*(i + 3)
Let n be 26/2 - (1 - -7). Suppose n*j - 20 = -21*l + 26*l, 5*j - 20 = 3*l. Factor -1/5*k + 0 + 1/5*k**5 - 2/5*k**4 + l*k**3 + 2/5*k**2.
k*(k - 1)**3*(k + 1)/5
Let d(k) be the second derivative of -k**4/27 + 100*k**3/27 - 176*k**2/3 - 764*k - 2. Factor d(s).
-4*(s - 44)*(s - 6)/9
Let w(f) be the first derivative of -2*f**6 - 4*f**5 + 64 + 0*f**2 + 4*f**4 + 0*f + 16/3*f**3. Determine r, given that w(r) = 0.
-2, -2/3, 0, 1
Let s(t) = -19 - 121 + 7*t - 24 + 253. Let c be s(-12). Suppose 4*j**4 + 0*j - 4/3*j**3 - 4*j**2 + 0 + 4/3*j**c = 0. What is j?
-3, -1, 0, 1
Let b(q) be the third derivative of q**7/120 + 17*q**6/240 + 11*q**5/60 + 7*q**4/48 - q**3/8 + 158*q**2 + 2*q. Suppose b(y) = 0. What is y?
-3, -1, 1/7
Let -195938 - 1/2*t**2 + 626*t = 0. What is t?
626
Let j(c) be the first derivative of -5*c**4 + 4/3*c**3 + 1/3*c**6 + 6/5*c**5 - 10*c + 98 + 9*c**2. Suppose j(b) = 0. What is b?
-5, -1, 1
Let l(q) = 25*q + 220. Let c(b) = -69*b - 659. Let u(t) = 2*c(t) + 7*l(t). Let r be u(-6). Solve 4/3*j + r + 4/3*j**3 + 8/3*j**2 = 0 for j.
-1, 0
Let c(o) = -2010*o - 8038. Let f be c(-4). Factor -1/5*d**3 - d - 2/5 - 4/5*d**f.
-(d + 1)**2*(d + 2)/5
Let u(z) = 8*z**2 - 8*z + 26. Let d be u(7). Let m = -362 + d. Factor 0*l + m - 5/8*l**3 - 1/2*l**4 - 1/4*l**2 - 1/8*l**5.
-l**2*(l + 1)**2*(l + 2)/8
Let u = 317 + -225. Let h = 91 - u. Let p(s) = -6*s**3 - 12*s**2 + 6*s. Let j(c) = c**3 + c**2 + c. Let z(m) = h*p(m) - 4*j(m). Solve z(q) = 0.
-5, 0, 1
Let t(u) be the first derivative of -98/5*u**5 + 15 - 16/7*u - 36*u**3 - 92/7*u**2 - 91/2*u**4. Suppose t(w) = 0. Calculate w.
-1, -2/7
Let c(a) be the third derivative of a**6/1320 - a**5/20 - 13*a**4/44 + 140*a**3/33 + 2*a**2 + 49*a. Find d, given that c(d) = 0.
-4, 2, 35
Find q such that 554*q**2 + 40*q + 55*q**3 + 6*q**5 - 11*q**5 - 644*q**2 = 0.
-4, 0, 1, 2
Let u(x) be the first derivative of x**4 - 8*x*