**2*(i - 15)*(i - 1)**2
Solve -16/7*h**4 - 4/7*h + 32/7*h**2 - 16/7 - 4/7*h**5 + 8/7*h**3 = 0 for h.
-4, -1, 1
Let j(c) be the first derivative of -c**3/6 - 3*c**2 - 10*c - 161. Factor j(v).
-(v + 2)*(v + 10)/2
Suppose -23 + 239 = -6*v. Let d = v + 38. Factor 0 + 0*z + 1/2*z**3 - z**d.
z**2*(z - 2)/2
Let w(d) = -92*d**3 - 142*d**2 + 40*d + 24. Let b(k) = -31*k**3 - 47*k**2 + 13*k + 8. Let i(z) = 8*b(z) - 3*w(z). Solve i(n) = 0.
-2, -2/7, 1/2
Let m be (4 + 0)/((-12)/426). Let j be (1 - (-14)/(-2))*m/639. Factor 0 + j*o - 1/3*o**2.
-o*(o - 4)/3
Suppose 2*h + 0*z = 5*z + 25, -5 = -h + 5*z. Suppose -8*i + 3*i = -h. Find k such that 4/7*k + 26/7*k**2 + 40/7*k**i + 0 + 8*k**3 = 0.
-1/2, -2/5, 0
Let a be (2/3)/((-4)/30). Let n = 9 + a. Find m such that 3*m**n - 50*m + 2 + 1 - 6*m**2 + 50*m = 0.
-1, 1
Let l(h) be the first derivative of -h**6/2 + 9*h**5/5 + 39*h**4 + 160*h**3 + 288*h**2 + 240*h - 76. Suppose l(k) = 0. Calculate k.
-2, -1, 10
Let i(c) be the third derivative of c**5/300 + c**4/3 + 40*c**3/3 + 7*c**2. Factor i(p).
(p + 20)**2/5
Find h, given that -789 + 125*h - 364 - 16*h**2 + 523 + 11*h**2 = 0.
7, 18
Let d(w) be the second derivative of w**4/48 - 95*w**3/12 + 9025*w**2/8 - 10*w - 2. Solve d(r) = 0.
95
Let h be (225/(-20))/(168/(-64)). Solve 2/7*j**3 + 18/7 + 2*j**2 + h*j = 0 for j.
-3, -1
Let o(n) = -7*n**4 - 56*n**3 + 279*n**2 - 530*n + 294. Let v(j) = -2*j**4 - j**3 - j. Let h(t) = o(t) - 5*v(t). Determine x, given that h(x) = 0.
1, 2, 7
Let a(m) = 6*m**3 + 3*m**2. Let s(d) = -d**3 + 4*d**2 - 3*d + 9. Let i be s(4). Let j(w) = w**4 + 5*w**3 + 2*w**2. Let o(r) = i*j(r) + 2*a(r). Factor o(c).
-3*c**3*(c + 1)
Let f(k) be the first derivative of -2*k**6/3 - 17*k**5/5 - 6*k**4 - 13*k**3/3 - k**2 + 242. Let f(x) = 0. Calculate x.
-2, -1, -1/4, 0
Let h = 1215 + -1215. Let m(q) be the second derivative of -16*q**2 - 7*q + h - 2*q**4 + 1/5*q**5 + 8*q**3. Factor m(r).
4*(r - 2)**3
Let w(x) = -118*x - 2476. Let l be w(-21). Factor -4/3*y + 8/3*y**l - 5/3*y**4 + 0 + 7/3*y**3.
-y*(y - 2)*(y + 1)*(5*y - 2)/3
Factor -242/3*y**3 - 736*y - 1298/3*y**2 - 384.
-2*(y + 1)*(11*y + 24)**2/3
Let x(z) be the first derivative of 125*z**4 - 300*z**3 - 195*z**2/2 - 10*z - 180. Factor x(v).
5*(v - 2)*(10*v + 1)**2
Suppose 0 = 8*z + 484 + 468. Let t be -5 + 1 + z/(-28). Factor -t*b - 1/4*b**2 + 1/4*b**3 + 0 + 1/4*b**4.
b*(b - 1)*(b + 1)**2/4
Let p(h) be the third derivative of -14*h**2 + 0 - 1/120*h**6 + 1/210*h**7 - 1/60*h**5 + 1/24*h**4 + 0*h**3 + 0*h. Determine o, given that p(o) = 0.
-1, 0, 1
Suppose -5*v - 3*f + 65 = 0, 46 = 4*v + 2*f - 8. Let j be (87/12 + -5)/(6/v). Solve -21/2*s**2 + 9/2*s**4 + j + 0*s - 3/2*s**5 + 3/2*s**3 = 0.
-1, 1, 2
Let h be 9 + (-3 - -2 - 2). Suppose -x - x - 9 = 3*c, -4*x - h = 2*c. Let -5*q**4 - 2*q**3 + 4*q**4 - 2*q + 4*q**3 + 1 + x = 0. What is q?
-1, 1
Factor -10/9*x - 8/3 + 1/9*x**2.
(x - 12)*(x + 2)/9
Let d(r) = -8*r**3 + 13*r**3 - 4*r**3 + r. Let j(k) = -k**5 + k**4 + 12*k**3 - k**2 + 11*k. Let y(q) = 22*d(q) - 2*j(q). Factor y(i).
2*i**2*(i - 1)**2*(i + 1)
Let d(z) be the third derivative of -z**5/45 + z**4/72 - 74*z**2. Solve d(p) = 0 for p.
0, 1/4
Let o(n) be the first derivative of -n**6/1260 + n**5/140 + n**4/21 + 3*n**3 - 1. Let m(g) be the third derivative of o(g). Solve m(y) = 0.
-1, 4
Solve 32/7 - 48/7*d - 2/7*d**3 + 18/7*d**2 = 0 for d.
1, 4
Let l(g) be the second derivative of -12*g + 0 - 1/11*g**3 - 1/22*g**4 - 1/110*g**5 - 1/11*g**2. Find o such that l(o) = 0.
-1
Let s = 205/2616 + -4/109. Let a(l) be the third derivative of s*l**4 + 1/60*l**5 - l**2 + 0 + 0*l + 0*l**3 - 2/105*l**7 - 1/30*l**6. Solve a(o) = 0.
-1, -1/2, 0, 1/2
Let j(k) be the first derivative of 0*k**2 + 0*k + 1 + 3/8*k**3 + 3/32*k**4. Find n such that j(n) = 0.
-3, 0
Let d(q) be the first derivative of -27*q**3 - 177*q**2/2 + 192*q - 16. Let t(r) = -5*r**2 - 11*r + 12. Let y(f) = -2*d(f) + 33*t(f). What is p in y(p) = 0?
-4, 1
Let h(r) be the third derivative of -r**6/12 - 83*r**5/12 - 575*r**4/3 - 1000*r**3 + 43*r**2. Solve h(q) = 0 for q.
-20, -3/2
Let u(q) be the third derivative of 0*q + 0*q**4 + 0*q**6 + 0 + 0*q**3 + q**2 + 1/420*q**7 - 1/120*q**5. Let u(l) = 0. Calculate l.
-1, 0, 1
Find y such that 14/5*y**3 - 14/5*y - 2/5*y**4 + 0 + 2/5*y**2 = 0.
-1, 0, 1, 7
Let m(z) be the second derivative of 10*z + 0*z**6 - 1/27*z**4 + 0*z**2 + 1/189*z**7 + 0*z**3 + 0 - 1/30*z**5. Factor m(t).
2*t**2*(t - 2)*(t + 1)**2/9
Let o(b) be the third derivative of -b**5/20 - 63*b**4/4 - 3969*b**3/2 - 45*b**2. What is c in o(c) = 0?
-63
Let r = -22 + 26. Determine u, given that r*u**4 - 24*u**3 + 23*u - 12*u + 32*u**2 + 13*u + 1 - 37 = 0.
-1, 1, 3
Factor 4091 - 415*c - 2171 - 2070 - 25*c**3 - 290*c**2.
-5*(c + 1)*(c + 10)*(5*c + 3)
Let z = 242 - 236. Let a(l) be the second derivative of -4*l**3 + 0 - z*l + 1/3*l**4 + 18*l**2. Factor a(u).
4*(u - 3)**2
Let r be 2/(-5) - 1316/(-140). Let v(b) be the second derivative of 0*b**2 - r*b + 0*b**3 - 1/42*b**4 - 1/35*b**5 - 1/105*b**6 + 0. Let v(a) = 0. What is a?
-1, 0
Let q(v) = -22*v**2 - 62*v + 20. Let d(t) = 2*t**2 + 2*t - 2. Let r(l) = 20*d(l) + 2*q(l). Factor r(o).
-4*o*(o + 21)
Factor 555*z**3 - 4*z**5 - 559*z**3 + 14*z**4 - 3*z**5 + 6*z**5 - 7*z**4 - 12*z**2.
-z**2*(z - 6)*(z - 2)*(z + 1)
Let o(s) = 15*s - 57. Let l be o(4). Let k(c) be the second derivative of 1/9*c**l + 0 - 5*c - 1/30*c**5 - 1/45*c**6 + 0*c**2 + 1/18*c**4. Factor k(g).
-2*g*(g - 1)*(g + 1)**2/3
Let s(m) be the second derivative of m**5/50 - 4*m**4/15 + m**3/3 + 14*m**2/5 + 88*m. Solve s(j) = 0 for j.
-1, 2, 7
Suppose 162*q = 165*q. What is o in 6*o**2 + q - 4/3*o = 0?
0, 2/9
Let y = -8660 - -8662. Find d, given that 0*d**3 - 1/3*d**4 + 1/3*d**y + 0*d + 0 = 0.
-1, 0, 1
Let n be (-1)/(-16) + (32 - 5599/176). Factor 1/2 + 3/4*m + n*m**2.
(m + 1)*(m + 2)/4
Solve 0 - 2/9*k**2 + 62/9*k = 0.
0, 31
Let k(j) be the first derivative of 0*j + 3*j**4 - 2*j**3 + 1/2*j**6 - 21 + 1/2*j**2 - 2*j**5. Factor k(f).
f*(f - 1)**3*(3*f - 1)
Let t(u) be the second derivative of -161/18*u**4 + 0 + 98/15*u**5 + 44/9*u**3 + 9*u - 4/3*u**2. What is r in t(r) = 0?
1/4, 2/7
Let j(s) = s**2 - 31*s + 240. Let t be j(16). Determine r, given that t - 1/4*r**3 - r**2 + 0*r = 0.
-4, 0
Let f be ((-4)/(-24))/((-59)/(-938)). Let i = f - -1/59. Factor 1/3*x**3 + i + 2*x**2 + 4*x.
(x + 2)**3/3
Suppose -j = -9*t + 4*t, -3*j - 5*t = 0. Let n = 18 - 15. Suppose 0*w - w**2 + w - w**n + 2*w**4 + j*w**3 - w**4 = 0. What is w?
-1, 0, 1
Let o be (-1)/(2/5)*(-24)/15. Suppose 3*a + 4*h - 8 = 0, 6 + o = -4*a + 5*h. Find x, given that -1/3*x**2 - 1/3*x**3 + 0 + a*x = 0.
-1, 0
Let x(r) be the second derivative of -7*r**6/1200 + 19*r**5/600 + r**4/40 + 10*r**2 - r. Let a(w) be the first derivative of x(w). Factor a(c).
-c*(c - 3)*(7*c + 2)/10
Let k(v) be the third derivative of 13*v**6/540 + 11*v**5/90 + 2*v**4/27 - 4*v**3/9 - 7*v**2 + 7. Factor k(n).
2*(n + 1)*(n + 2)*(13*n - 6)/9
Let h = 2753 + -2751. Factor 5/3*o**h + 7/3*o**3 - 16/3*o + 4/3.
(o - 1)*(o + 2)*(7*o - 2)/3
Let a(u) = -2*u**2 + 4*u + 2. Let w be a(2). Factor 243 - 27*r + 4*r**2 - 47 + w*r - 31*r.
4*(r - 7)**2
Let o(p) be the second derivative of p**8/3360 - p**7/180 + 2*p**6/45 - p**5/5 - 7*p**4/12 - 3*p. Let i(u) be the third derivative of o(u). Factor i(w).
2*(w - 3)*(w - 2)**2
Let y(z) = -2*z**4 + 40*z**3 - 56*z**2 - 193*z + 5. Let v(g) = -g**4 + 38*g**3 - 55*g**2 - 194*g + 4. Let f(j) = 5*v(j) - 4*y(j). Let f(r) = 0. What is r?
-11, -2, 0, 3
Let o = 49 - 47. Let 8*h + 107*h - 26*h**2 - 16*h**o + 32*h**2 - 55 = 0. What is h?
1/2, 11
Let f(k) be the third derivative of -k**7/630 - 3*k**4/4 + 6*k**2. Let n(g) be the second derivative of f(g). Factor n(o).
-4*o**2
Factor 20/3*q**2 - 4/9*q**3 + 0*q + 0.
-4*q**2*(q - 15)/9
Suppose 1 = q, -2*q = -4*z - z + 23. Factor -z*n + 5 - 2*n**3 - 10*n**2 - 13 - 11*n.
-2*(n + 1)*(n + 2)**2
Let g be (21/(-15)*2)/((-24)/15). Let a(t) be the second derivative of g*t**4 + 0 - t - t**3 + 0*t**2 - 3/4*t**5. Factor a(w).
-3*w*(w - 1)*(5*w - 2)
Factor -4 - 9 - 1412*p + 1400*p - 3 + 4*p**2.
4*(p - 4)*(p + 1)
Let g = -869/13 + 9715/143. Suppose 0 - 18/11*a**2 - g*a - 6/11*a**3 = 0. Calculate a.
-2, -1, 0
Let f(m) be the third derivative of 1/120*m**5 + 22*m**2 + 0*m + 0 - 1/16*m**4 - 1/3*m**3. F