1470*h**7 + 0*h + 0*h**4. Factor v(y).
-y**2*(y - 1)*(y + 1)/7
Let t(f) be the third derivative of 1/1620*f**6 + 13/3*f**3 - 15*f**2 + 0*f + 1/54*f**4 - 1/180*f**5 + 0. Let g(v) be the first derivative of t(v). Factor g(p).
2*(p - 2)*(p - 1)/9
Suppose 21*w - 16*w = 0. Let m be w + 0 + 27/9. Factor 1/2*v**2 + 0 - 1/2*v**4 + 0*v - 1/2*v**5 + 1/2*v**m.
-v**2*(v - 1)*(v + 1)**2/2
Let x(p) be the second derivative of -1/30*p**5 - 1/3*p**4 - 1 - 29*p + 1/9*p**3 + 2*p**2. Factor x(i).
-2*(i - 1)*(i + 1)*(i + 6)/3
Suppose 5*o - 581 = -2*o. Find w such that 55 - 4*w**4 + 96*w**2 + 94 - 196 + 104*w + 24*w**3 + o = 0.
-1, 9
Suppose 79 = -11*w + 233. Factor 27*f + f - 16 - 2157*f**3 - w*f**2 + 2159*f**3.
2*(f - 4)*(f - 2)*(f - 1)
Suppose 5 + 19 = 13*q - 2. Let b(d) be the third derivative of -1/16*d**4 - 1/160*d**5 + 0 + 0*d**3 - 5*d**q + 0*d. Factor b(w).
-3*w*(w + 4)/8
Suppose -4*u - 5*f = 0, -5*u + 3*f = -0*u - 37. Suppose -6*h = -u*h. Find m such that h + 1/3*m**4 - 1/3*m**2 - 1/3*m**5 + 0*m + 1/3*m**3 = 0.
-1, 0, 1
Let 0*t**4 - 375*t**2 - 4*t**4 + 75*t**3 + 73*t**3 - 365*t**2 + 744 - 148*t = 0. What is t?
-1, 1, 6, 31
Let y(n) be the second derivative of -6*n + 8/3*n**6 + 0*n**4 + 360*n**3 - 18*n**5 - 1 - 5/42*n**7 + 0*n**2. Solve y(a) = 0 for a.
-2, 0, 6
Let n(a) = -61*a**4 + 2684*a**3 - 5895*a**2 + 1467*a - 10. Let z(u) = 31*u**4 - 1340*u**3 + 2945*u**2 - 733*u + 6. Let r(f) = -3*n(f) - 5*z(f). Factor r(b).
4*b*(b - 46)*(b - 2)*(7*b - 2)
Let w(i) be the second derivative of -6912*i**5/65 - 4896*i**4/13 - 6936*i**3/13 - 4913*i**2/13 - 2*i + 2229. Let w(t) = 0. What is t?
-17/24
Factor 581*u + 6728 + 619*u + 4522 + 32*u**2.
2*(4*u + 75)**2
Let h(b) be the third derivative of 0*b - 1/315*b**7 - 1/270*b**5 - 4 + 2/135*b**6 + 8*b**2 + 4/27*b**3 - 2/27*b**4. Let h(w) = 0. What is w?
-1, 2/3, 1, 2
Let v(s) = -s**3 - 3*s**2 - 29*s - 92. Let n be v(-3). Let m be 12*(-10)/(20*n). Factor 3/5*g**2 - m + 3/5*g.
3*(g - 1)*(g + 2)/5
Let x be 18/132*-4 + (-56)/(-22). Let a be -2 - (4 + -2 + -6). Find t such that 4*t**a + 3*t**2 + t - 9*t**x - t**5 + 2*t**4 = 0.
-1, 0, 1
Suppose -2091*c + 59976 = -425*c. Solve -1/4*u**2 - c - 6*u = 0.
-12
Suppose -312 = -y + 2*c + 1418, -2*y + 3459 = -3*c. Solve 41472 + 871*j + y*j**2 + 94*j - 96*j**3 - 5674*j - 9115*j + 2*j**4 = 0.
12
Let k = 9306160/734697 - -2/734697. Suppose 10*f**5 - 8/3 + 8/3*f + 22*f**2 - k*f**3 - 58/3*f**4 = 0. Calculate f.
-1, -2/5, 1/3, 1, 2
Let s = -56576 + 339457/6. Let 0*o**2 - 1/2*o**4 - 2/3*o**3 + 0 + s*o**5 + 0*o = 0. Calculate o.
-1, 0, 4
Let f(x) be the first derivative of -2*x**3/39 - 79*x**2/13 - 1571. Factor f(m).
-2*m*(m + 79)/13
Suppose 176*o**2 - 47*o**3 - 4732 + o**3 - 962*o + o**4 - 16*o**3 + o**4 + 394*o**2 = 0. What is o?
-2, 7, 13
Let 5*n**3 - 1524*n - 1514*n - 60 + 3063*n + 30*n**2 = 0. Calculate n.
-4, -3, 1
Let q(a) be the third derivative of 29/2*a**4 - 98*a**2 + 8/5*a**5 + 1/40*a**6 + 56*a**3 + 0 + 0*a. Suppose q(n) = 0. Calculate n.
-28, -2
Let s(p) = p**2 - 36*p + 19. Let x be s(36). What is n in -60*n**2 + 2*n**3 + 48*n**2 + x + 18*n - 27 = 0?
1, 4
Let s be 9 + ((202 + -4)/(-11))/2. Let x(j) be the third derivative of s + 1/30*j**6 - 23*j**2 + 0*j - 1/5*j**5 + 0*j**4 + 0*j**3. Factor x(a).
4*a**2*(a - 3)
Find r such that -1/4*r**3 + 3/4*r - 1/2*r**2 + 0 = 0.
-3, 0, 1
Suppose 13 = k - 5*l, 0*l + 17 = 3*k - 4*l. Factor -24*a**3 + 11*a**3 - 3*a + 9*a**k + 3*a**2 + 4*a.
-a*(a - 1)*(4*a + 1)
Let w(m) be the third derivative of -m**6/210 + m**5/15 + 5*m**4/21 - 32*m**3/21 - 31*m**2 - m. Factor w(f).
-4*(f - 8)*(f - 1)*(f + 2)/7
Let l = 241 - 235. Suppose 5*h + l*h - 21*h = 0. Factor 2 + h*p - 1/2*p**2.
-(p - 2)*(p + 2)/2
Suppose 294*p**4 - 589*p**4 - 2192*p**2 - 129*p**3 + 291*p**4 - 2176*p - 470*p**3 + 39*p**3 = 0. Calculate p.
-136, -2, 0
What is u in 145*u**2 - u**4 - 397*u**5 - 11*u**4 + 401*u**5 - 192*u - 52*u**3 + 43*u**2 + 64 = 0?
-4, 1, 4
Suppose 3*x + 0*x + 72 = 3*v, 40 = v - 5*x. Suppose -4 = 4*w - v. Let 3*g**2 - g**5 - 33*g**2 - 15*g - 15*g**w - 3 - 2*g**5 - 30*g**3 + 0 = 0. Calculate g.
-1
Suppose -3*a - 1544 = -2*c, 29*c - 5*a = 25*c + 3090. Let d = c - 773. Solve 0 - b**d + 0*b + 1/6*b**3 + 1/6*b**4 = 0.
-3, 0, 2
Find u such that -22/3*u**2 + 0 + 13/9*u - 4/9*u**4 + 19/3*u**3 = 0.
0, 1/4, 1, 13
Let r(v) be the second derivative of -3*v**5/20 - 1199*v**4/4 - 359999*v**3/2 - 1076403*v**2/2 + 6348*v. Find m, given that r(m) = 0.
-599, -1
Find v such that -497/6*v - 62/3 - 2/3*v**2 = 0.
-124, -1/4
Let t(n) be the third derivative of 1/15*n**4 - 1/150*n**5 - 1/5*n**3 - 143*n**2 + 0*n + 0. Let t(l) = 0. Calculate l.
1, 3
Let p(c) be the first derivative of c**6/360 + c**5/60 - 10*c**3/3 + 72. Let n(f) be the third derivative of p(f). Suppose n(b) = 0. Calculate b.
-2, 0
Let a(c) be the third derivative of -c**8/26880 + 19*c**7/6720 - 3*c**6/160 - 7*c**5/12 + 30*c**2. Let q(t) be the third derivative of a(t). Factor q(i).
-3*(i - 18)*(i - 1)/4
Let n(q) be the second derivative of -q**6/6 - q**5/4 + 70*q**4/3 + 36*q - 12. Factor n(h).
-5*h**2*(h - 7)*(h + 8)
Let x(d) be the first derivative of -10*d**2 - 20*d**3 - d**5 + 80*d + 35/4*d**4 + 10. Find c such that x(c) = 0.
-1, 2, 4
Let j be (15/(-3) - -4)*6 + 6. Let v(k) be the third derivative of -1/120*k**5 + 1/12*k**3 - 1/48*k**4 + 0*k - 17*k**2 + j + 1/240*k**6. Factor v(p).
(p - 1)**2*(p + 1)/2
Let v(k) be the first derivative of -k**5/60 - 7*k**4/96 - k**3/8 + k**2 + 24*k - 9. Let a(l) be the second derivative of v(l). Solve a(i) = 0.
-1, -3/4
Factor 65/2*n + 1/2*n**2 + 150.
(n + 5)*(n + 60)/2
Let x(m) be the third derivative of -m**5/30 + 16*m**4 - 191*m**3/3 - 2*m**2 - 3743*m. Solve x(f) = 0.
1, 191
Let d = -442 - -444. Factor -18*q - 204*q**d + 46*q**2 + 54*q**2 + 55*q**2 + 50*q**2.
q*(q - 18)
Let l = -1768 - -4298. Let j = l + -2530. Let 0 + 3*k**3 + 0*k**2 - 3/4*k**4 + j*k = 0. Calculate k.
0, 4
Suppose -1728*x - 684*x**2 - 1728 - 13*x**4 - 1/2*x**5 - 134*x**3 = 0. Calculate x.
-6, -4
Let o(x) = 9*x**2 - 12*x + 3. Let i(f) = f + 43*f**2 - 26*f**2 - 5*f**2 - 8*f**2 - 5*f**2. Suppose 0 = -3*k + 12 + 6. Let l(y) = k*i(y) + o(y). Factor l(z).
3*(z - 1)**2
Let r(v) = v**2 - 21*v - 49. Let k be r(23). Let i be (-3)/k*(-26)/(-2). Let -i*x + 4*x**3 + 220*x**2 - 11*x - 216*x**2 = 0. Calculate x.
-3, 0, 2
Let z be (402/(-134))/((-39)/(-24)*-2). Solve 0 + 10/13*p + z*p**2 + 2/13*p**3 = 0 for p.
-5, -1, 0
Let u(k) = 5*k - 77. Let b be u(17). Solve -20*l**4 - 22 + 7*l + 24 + 2*l**3 - l**5 + 18*l**4 + b*l**2 = 0 for l.
-1, 2
Let m be (-160)/17325 - 10/(-45). Let g = m + 4/55. Factor 16/7 + 12/7*o + g*o**2.
2*(o + 2)*(o + 4)/7
Suppose -133 = -8*o - 117. Suppose 3*c + 7*k - o*k = -1, -5*k = c + 7. Factor 2/15*m**c - 2/5*m**2 + 0 + 4/15*m.
2*m*(m - 2)*(m - 1)/15
Suppose 2*k - 15 = -n, -169*n + 166*n = k - 20. Let t(l) be the first derivative of 0*l - 5*l**3 + 17 + 0*l**2 + 5/2*l**4 + l**k. Factor t(d).
5*d**2*(d - 1)*(d + 3)
Let g = -16466/15 + 1098. Let s(w) be the first derivative of 10 + 1/5*w**2 + 2/45*w**3 + g*w. Suppose s(n) = 0. Calculate n.
-2, -1
Suppose -3*w - 4*o + 1 = -25, 0 = -4*w - 4*o + 28. Let m be w/7 - 168/1274. What is v in -2/13*v**5 + 0 - m*v**2 + 6/13*v**3 + 2/13*v**4 - 4/13*v = 0?
-1, 0, 1, 2
Let d be (-29 - 2867/(-94))*2. Let 24/7 - 44/7*p + 24/7*p**2 - 4/7*p**d = 0. What is p?
1, 2, 3
Let f = 107370 - 107366. Factor 0 - 8/11*s**2 + 0*s**3 + 0*s + 2/11*s**f.
2*s**2*(s - 2)*(s + 2)/11
Let a(y) be the first derivative of -1/120*y**4 - 1/5*y**2 + 1/15*y**3 + 3 - 5*y. Let p(q) be the first derivative of a(q). Solve p(f) = 0.
2
Let r = -1533121/173 - -8862. Let a = r + 158/519. Factor a*s**2 - 4/9 + 13/9*s**4 + 17/9*s**3 + 1/3*s**5 - 8/9*s.
(s + 1)**3*(s + 2)*(3*s - 2)/9
Let l be 52 - (17 - 2046/(-62)). Find m such that 0*m**l + 6*m**3 - 6*m**4 + 0*m + 0 + 3/2*m**5 = 0.
0, 2
Factor -20*q**3 - 38 - 13 + 16*q - 3*q**4 + 51 - 6*q**2 - 5*q**3.
-q*(q + 1)*(q + 8)*(3*q - 2)
Factor 0*w**2 + 1/2*w**4 + 0*w + 0 - 7/2*w**3.
w**3*(w - 7)/2
Let i(q) be the third derivative of -q**8/1512 + 17*q**7/945 + 17*q**6/90 + 86*q**5/135 + 22*q**4/27 - 1411*q**2 + 2*q. Solve i(d) = 0.
-2, -1, 0, 22
Let x(t) = -88*t**3 + 101*t**2 + 392*t + 387. Let c(v) = 118*v**3 - 100*v**2 - 392*v - 388. Let k(q) = 3*c(q) + 4*x(q). Solve k(u) = 0 for 