*(c - 2)*(c + 1)/11
Let u(b) be the first derivative of -b**6/2 - 384*b**5/5 + 387*b**4/4 + 9625. Let u(j) = 0. What is j?
-129, 0, 1
Let k(h) be the first derivative of -2*h**5/35 + 319*h**4/14 - 16638*h**3/7 - 11017*h**2 - 14812*h - 4670. Determine p, given that k(p) = 0.
-2, -1, 161
Suppose 5*f - 1770 = -0*f. Let n be (-1)/4*-30*(-4)/(-6). Let -359*a**4 + f*a**4 - 3*a**3 + 3*a**3 - 5*a**n = 0. Calculate a.
-1, 0
Let y(x) be the first derivative of x**6/6 - 13*x**5/5 + 10*x**4 - 12*x**3 - 1799. Factor y(m).
m**2*(m - 9)*(m - 2)**2
Factor -d**4 + 3037 + 2451 + 12*d**3 + 87*d**3 + 662*d + 906*d - 504*d**2 - 59*d**3.
-(d - 14)**3*(d + 2)
Let m(j) = 14*j**3 + 32*j**2 + 104*j + 162. Let n(w) = -2*w**3 - w**2 + w - 2. Let x(c) = m(c) + 6*n(c). Solve x(f) = 0.
-5, -3
Let t(b) be the second derivative of -b**7/14 + 6*b**6/5 - 39*b**5/5 + 51*b**4/2 - 91*b**3/2 + 45*b**2 + 359*b. Let t(n) = 0. Calculate n.
1, 2, 3, 5
Suppose 4*w - 9*w = 2*g + 456, 3*w + 286 = 5*g. Let y be (-115)/w*(-8)/(-20). Let -1/2*p**3 - y + 1/2*p + 1/2*p**2 = 0. What is p?
-1, 1
Let y(b) = -3*b**2 + 8. Let a(p) = p**3 + 1659*p**2 + 687237*p + 1367850. Let f(r) = a(r) + y(r). Factor f(s).
(s + 2)*(s + 827)**2
Let d be -3 - 0 - 33/(-10 + -1). Suppose d = -2*m + 146 + 16. Find t, given that 323/2*t**3 - 22*t - 31*t**2 + m*t**5 + 4 + 495/2*t**4 = 0.
-2, -1, -1/2, 2/9
Let b be (18/(-8))/((-420)/560). Suppose j + 2*z + 22 - 24 = 0, 0 = -3*j + 3*z - b. Factor -o**3 - 1/4*o**4 + 0*o - o**2 + j.
-o**2*(o + 2)**2/4
Let v(u) = -51*u + 52. Let a be v(1). Let r be (-15)/(-35)*(-1 + 8) - a. Factor -4/7 + 12/7*w + 16/7*w**r.
4*(w + 1)*(4*w - 1)/7
Find x such that 112/9 - 292/9*x + 10/9*x**3 + 26/9*x**2 = 0.
-7, 2/5, 4
Let j(f) be the second derivative of -f**4/28 + 503*f**3/14 - 753*f**2/7 + 3161*f. Suppose j(h) = 0. Calculate h.
1, 502
Let j(k) be the first derivative of k**8/2800 - k**6/600 - 5*k**3 - k**2/2 - 33. Let v(b) be the third derivative of j(b). Determine d so that v(d) = 0.
-1, 0, 1
Suppose -20*u - 22 = -62. Let m(q) be the second derivative of 1/33*q**3 - 1/66*q**4 + 0 + 2/11*q**u + 16*q. Factor m(r).
-2*(r - 2)*(r + 1)/11
Let s(d) = -377*d**2 - 8777*d + 14. Let i(h) = 161*h**2 + 4389*h - 6. Let u(w) = -7*i(w) - 3*s(w). Factor u(f).
4*f*(f - 1098)
Let d = -674391 - -3371957/5. Factor -107/5*i + d*i**2 + 53/5.
(i - 53)*(2*i - 1)/5
Let b(c) = -c**3 - 235*c**2 - 242*c - 1814. Let p be b(-234). Factor p*f + 1/2*f**2 + 1682.
(f + 58)**2/2
Let j(y) = 14918*y**2 + 6945256*y - 1737264. Let v(x) = x**3 - x**2 + x + 2. Let s(i) = -j(i) - 8*v(i). Find t, given that s(t) = 0.
-932, 1/4
Suppose 3*w - 93 = -4*t, 2*w - 62 = 26*t - 24*t. Let u be (0 + 1)*w/93. Factor u*m**2 - 7/6*m**3 - 1/3 + 7/6*m.
-(m - 1)*(m + 1)*(7*m - 2)/6
Let s be (-3103)/1284 + (-16)/(-6). Let f(n) be the second derivative of 0*n**2 + s*n**4 + 3/5*n**3 - 4*n + 0 + 3/100*n**5. Let f(m) = 0. Calculate m.
-3, -2, 0
Suppose 4/7*f**3 - 188*f**2 - 5312/7*f - 5328/7 = 0. What is f?
-2, 333
Factor 0 + 2/9*m**5 - 4/3*m**4 + 26/9*m**3 - 8/3*m**2 + 8/9*m.
2*m*(m - 2)**2*(m - 1)**2/9
Let v(p) be the second derivative of -p**5/36 - 5*p**4/24 - 19*p**2 + 77*p. Let h(r) be the first derivative of v(r). Factor h(g).
-5*g*(g + 3)/3
Let k = -456 + 461. Let j be ((-3)/k)/((-13)/260*6). Let 2/3*h**3 + 0*h + 4/9*h**j - 8/3*h**4 + 0 + 14/9*h**5 = 0. Calculate h.
-2/7, 0, 1
Let v be (7 - (-80984)/(-7200)) + (-1)/(-4) + 4. Let f(z) be the third derivative of 0 - 31*z**2 + 0*z - 2/45*z**4 + 16/45*z**3 + v*z**5. Factor f(x).
2*(x - 4)**2/15
Let p = 87 - 58. Let l = 32 - p. Find h such that -4*h**2 - 32 - 14*h + l*h**2 - 22 + 5 = 0.
-7
Let z(g) be the second derivative of -g**7/15120 + g**6/540 + 3*g**4/2 + g**3/2 + 2*g - 68. Let w(i) be the third derivative of z(i). Factor w(k).
-k*(k - 8)/6
Let y(t) be the first derivative of -64*t**6/3 - 68192*t**5/5 - 2276966*t**4 - 6805346*t**3/3 - 849604*t**2 - 141512*t + 3. Factor y(g).
-2*(g + 266)**2*(4*g + 1)**3
Let n(v) be the third derivative of 1/33*v**4 - 1/110*v**5 - 32*v**2 + 0*v**3 + 0*v + 0 - 7/660*v**6. Solve n(p) = 0.
-1, 0, 4/7
Let p(t) be the third derivative of t**6/1200 + 277*t**5/600 - 557*t**4/240 + 93*t**3/20 - 1862*t**2. Suppose p(n) = 0. What is n?
-279, 1
Let s be 8 - (-1*(-3 - -8) + 6 - -5). Let w be (-2)/1 - 1*-4. Factor 21*i**w + 18*i**s - i**4 - 30*i**2 + 6*i**3 - 2*i**4.
-3*i**2*(i - 3)*(i + 1)
Let s = 115546/3 - 38515. Factor -2/3 + 2/3*u**2 - 1/3*u**3 + s*u.
-(u - 2)*(u - 1)*(u + 1)/3
Let g be 47 + (-43819)/957 - (-6)/(-11). Determine p so that 1/3*p**3 + g*p**2 - 2/3 - 1/3*p = 0.
-2, -1, 1
Determine b, given that -186/5*b - 76/5 + 726/5*b**3 + 656/5*b**2 - 8*b**4 = 0.
-1, -1/4, 2/5, 19
Suppose -w = -11*o + 10*o + 9, -4*o = -2*w - 32. Let f(m) = -18*m + 128. Let s be f(o). Solve 4/3*a**s + 0 + 4/3*a = 0 for a.
-1, 0
Let o(n) be the first derivative of n**3/7 + 3492*n**2/7 + 4064688*n/7 - 1858. Factor o(w).
3*(w + 1164)**2/7
Let c(s) = 448*s**2 - 2*s. Let q be c(-2). Let n be q - 1 - (3 + -1)/(-2). Factor -5*g**2 - n - 5*g + 1796.
-5*g*(g + 1)
Let f be (-246)/(-126) - (2 + 6 + 378/(-49)). Let u(l) be the first derivative of 0*l**2 + 20*l - f*l**3 - 38. Let u(a) = 0. Calculate a.
-2, 2
Let y(i) = 2*i**3 - 3*i**2 - 11*i - 19. Let c be y(7). Let q = -440 + c. Factor 4/17*l - 2/17 + 8/17*l**q + 14/17*l**2.
2*(l + 1)**2*(4*l - 1)/17
Suppose -c - 3*p = 7, 2*c - p + 11 = 5*c. Suppose 3*z + 4*h = -2*z, c*z - 2*h = 30. Solve 6/7*s + 2/7 + 6/7*s**5 - 4/7*s**2 + 2/7*s**z - 12/7*s**3 = 0.
-1, -1/3, 1
Let v(x) = -4*x**4 - 12*x**3 - 6*x**2 - 10*x - 6. Suppose -t - 4 = -10. Let z(g) = -g**2 + g + 1. Let h(f) = t*z(f) + v(f). Let h(q) = 0. Calculate q.
-1, 0
Let v(x) be the third derivative of 0*x - 1/24*x**4 + 1/20*x**5 + 0 - 20*x**2 - 1/3*x**3. Let f(u) = u - 1. Let w(d) = -5*f(d) + v(d). Factor w(a).
3*(a - 1)**2
Let c(a) be the third derivative of -a**8/112 - 11*a**7/70 - 31*a**6/40 - 21*a**5/20 + 1729*a**2. What is m in c(m) = 0?
-7, -3, -1, 0
Determine v, given that -275/2*v + 30*v**4 + 175*v**2 + 475/2*v**3 - 105 = 0.
-7, -1, -2/3, 3/4
Let m = 9 + -5. Let o be (-22)/(-132)*(-1125)/(-5) - 32. Determine z so that -2*z**m - 9/2*z**2 - 1/2*z + 1/2 - o*z**3 = 0.
-1, 1/4
Let z(p) be the second derivative of 21/4*p**5 + 465/2*p**3 - 405*p**2 - 68*p + 2 - 1/6*p**6 - 685/12*p**4. Factor z(m).
-5*(m - 9)**2*(m - 2)*(m - 1)
Let o = -543 + 570. Suppose 23*c = o*c - 8. Find i, given that i - 1/3*i**c + 10/3 = 0.
-2, 5
Let x(r) be the second derivative of -r**6/20 - 267*r**5/40 + 45*r**4/4 - 2711*r. Suppose x(g) = 0. What is g?
-90, 0, 1
Let i(y) be the third derivative of y**5/30 - 13*y**4/6 + 88*y**3/3 + 795*y**2. What is d in i(d) = 0?
4, 22
Let d(q) = -3*q**3 - 99*q**2 + 1353*q - 9. Let t(w) = w**3 + 25*w**2 - 338*w + 2. Let k(l) = 2*d(l) + 9*t(l). Factor k(r).
3*r*(r - 7)*(r + 16)
Let h(u) be the first derivative of 3*u**5/20 - 3*u**4 + 71*u**3/4 - 21*u**2 - 108*u - 2787. What is x in h(x) = 0?
-1, 4, 9
Let h(b) be the first derivative of -3*b**5/5 + 45*b**4/4 - 61*b**3 + 63*b**2/2 + 294*b + 801. Factor h(d).
-3*(d - 7)**2*(d - 2)*(d + 1)
Suppose 24 = -38*c + 40*c. Let h be ((-21)/c + -2)/(153/(-136)). Factor -h*p + 25/3 + 1/3*p**2.
(p - 5)**2/3
Let c = -1698 - -1698. Let m(y) be the second derivative of 2/85*y**5 + 5*y - 1/17*y**2 - 1/255*y**6 - 1/17*y**4 + 4/51*y**3 + c. Factor m(o).
-2*(o - 1)**4/17
Let a(c) = -2*c**3 - 5*c**2 + 5*c + 14. Let d be a(-4). Suppose 6*x + 18 = d. Let -b**5 + 3*b**2 + 9*b**2 + 4*b**2 + 8*b**x - 20*b**3 = 0. What is b?
0, 2, 4
Suppose 33*a = 37*a - 4. Factor a - 62*i**2 + 5 - 5*i + 63*i**2.
(i - 3)*(i - 2)
Let i(c) be the second derivative of c + 11/3*c**3 + 12 - 6*c**2 + 1/3*c**4. Factor i(q).
2*(q + 6)*(2*q - 1)
Let j be (-9 - -11)/((-846)/(-3478)). Determine d, given that 8/9*d**3 + 2*d + 0 + j*d**2 = 0.
-9, -1/4, 0
Let s(v) be the first derivative of -v**5 + 275*v**4/2 - 4855*v**3 - 15400*v**2 - 15680*v + 206. Factor s(c).
-5*(c - 56)**2*(c + 1)**2
Let r be 1*-3*2*(-4)/12. Let w be ((-32)/(-72))/(r/9). Suppose 36*v**w + 5*v - v - 35*v**3 + 6*v - 11*v**2 = 0. Calculate v.
-2/7, 0, 1
Suppose 8 = -4*f, 3*k - 2*f - 848 - 209 = 0. Let d be (k/819)/(3/28). Determine b, given that -d*b**3 + 0*b - 2/3*b**2 + 0 - 6*b**4 - 8/3*b**5 = 0.
-1, -1/4, 0
Let s(m) be the thi