9*h**2 - 291*h - 259. Let v(q) = 2*q**4 + 60*q**3 + 50*q**2 - 58*q - 52. Let r(u) = 2*t(u) - 11*v(u). Factor r(s).
-2*(s - 1)*(s + 1)**2*(s + 27)
Let n(b) be the first derivative of b**3/7 + 18*b**2 + 756*b - 3231. Solve n(v) = 0.
-42
Let q = 4072 + -85534/21. Let g = q - -17/14. Let -2/3*j**3 + 2/3*j - 1/2*j**2 + 2/3 - g*j**4 = 0. What is j?
-2, -1, 1
Suppose 55 + 358*w + 38*w**3 - 8*w**5 + 87*w**3 + 528*w**2 + 77 + 138*w - 84*w**4 - 37*w**3 = 0. Calculate w.
-11, -1, -1/2, 3
Let i(w) be the second derivative of 1/126*w**7 - 9/40*w**5 + 19/72*w**4 - 87*w + 7/180*w**6 + 0 + 5/36*w**3 - 1/2*w**2. Solve i(u) = 0 for u.
-6, -1/2, 1
Solve 1256/5*w**2 + 0 - 4/5*w**3 - 98596/5*w = 0.
0, 157
Factor 5*y**4 - 537 - 102*y**2 + 924*y - y**4 - 504 - 39 - y**4 - 51*y**3.
3*(y - 18)*(y - 2)**2*(y + 5)
Let -203 + 117 - 132 + 122*b**2 + b**3 - 4*b - 270 = 0. Calculate b.
-122, -2, 2
Let o be (-1)/(-3) + 92/12 + -4. Suppose -4*h - 3 = 5*k, 0 = o*h - k + 2*k - 9. Determine m so that 0 + 3/2*m + 9/2*m**2 - 6*m**h = 0.
-1/4, 0, 1
Suppose -31 = 5*f + 2*g, -3*g = 2*f + 1 + 18. Let w be -20*(-4 - f - 3). Factor 25*b + 38*b + 5*b**4 + 31*b**2 + w*b**3 + 45 + 57*b + 79*b**2.
5*(b + 1)**2*(b + 3)**2
Let t(h) be the third derivative of -h**7/1050 + 39*h**6/200 - 1121*h**5/100 - 3481*h**4/120 + 96*h**2 + 4. Find o, given that t(o) = 0.
-1, 0, 59
Let q be (-50)/25*147/(-2). Suppose -51 = 24*j - q. Solve -1/2*l**4 + j*l + 0 - l**3 + 2*l**2 = 0.
-2, 0, 2
Suppose 591*b - 612*b + 14 = -91. Let q(t) be the third derivative of 0*t - 1/210*t**7 - 1/12*t**4 + 1/60*t**6 + 1/60*t**5 + b*t**2 + 0 + 0*t**3. Factor q(y).
-y*(y - 2)*(y - 1)*(y + 1)
Let r(c) be the third derivative of -c**6/30 - 26*c**5/45 - 173*c**4/72 + 19*c**3/3 + 665*c**2. Suppose r(d) = 0. Calculate d.
-6, -19/6, 1/2
Let d be (-2*2/400)/(-7*12/630). Let j(p) be the second derivative of 0*p**2 + d*p**5 + 0*p**3 + 0*p**4 + 0 + 1/60*p**6 - 16*p. Suppose j(s) = 0. Calculate s.
-3, 0
Let a = 9904 - 9900. Let y(k) be the third derivative of 0 + 1/6*k**5 - 7/12*k**a + 2/3*k**3 + 0*k - 14*k**2. Determine t so that y(t) = 0.
2/5, 1
Let p(x) be the third derivative of -x**6/15 - 149*x**5/15 - 49*x**4/2 - 3*x**2 - x - 139. Suppose p(l) = 0. What is l?
-147/2, -1, 0
Suppose -4*g + 2*l = -158, 2*l = g + 17 - 52. Let f = g - 38. Factor -96*x**3 - 147*x**5 + 12*x**2 + f*x**2 - 3*x**2 + 67*x**4 + 164*x**4.
-3*x**2*(x - 1)*(7*x - 2)**2
Suppose 42*d + 0*d - 195*d - 1956 + 4710 = 0. Factor -1/2*o**4 - 2*o**3 + 5/2*o**2 + 18 + d*o.
-(o - 3)*(o + 2)**2*(o + 3)/2
Suppose 2*k = -m - 42 + 131, -263 = -3*m - 5*k. Suppose -23*y + 14*y = -m. Suppose -y*x**2 - 24*x + 10*x**2 + 2*x**2 + 21 = 0. What is x?
1, 7
Let h(u) be the second derivative of u**4/14 - 134*u**3/7 + 13467*u**2/7 + u + 175. Find m, given that h(m) = 0.
67
Suppose 4*m + 10 = 4*s + 2*m, 2*s - 3*m - 7 = 0. Let o(a) = -a + 6. Let k be o(s). Suppose -x**k + 7*x**4 - 11*x**4 + 3*x**3 + 2*x**2 = 0. What is x?
-2/5, 0, 1
Let y = -30117 + 30119. Factor 7/5*r - 1/10*r**4 + 4/5 + 3/10*r**y - 2/5*r**3.
-(r - 2)*(r + 1)**2*(r + 4)/10
Let s = -32139/20 - -1607. Let b(n) be the third derivative of -23*n**2 - 3/2*n**4 + s*n**5 + 0 + 18*n**3 + 0*n. Determine f so that b(f) = 0.
6
Let w(m) be the second derivative of -12*m**2 + 8/15*m**6 + 122*m - 9*m**4 + 0*m**5 + 50/3*m**3 + 0. Solve w(z) = 0.
-3, 1/2, 2
Let b(s) = s**2 - 65*s + 356. Let c be b(59). Factor -4*n + 7/3*n**c - 4/3.
(n - 2)*(7*n + 2)/3
Suppose 4*g - 85 - 111 = 0. Factor -31*t - 2*t**2 - 30*t + g*t - 10.
-2*(t + 1)*(t + 5)
Let b be (-26 - -27)*(-3)/87. Let w = 25/116 - b. Factor -1/4 - w*o**2 - 1/2*o.
-(o + 1)**2/4
Let x(j) = -3*j**2 + 33*j - 21. Suppose -5*s = -40 - 10. Let r be x(s). Factor -6 + r*p - 9/2*p**2 + 3/4*p**3.
3*(p - 2)**3/4
Suppose u = -4*d + 19, -369 = -2*u - 5*d - 343. Suppose 66*c**u - 20 + 8/3*c**5 - 206/3*c - 134/3*c**4 + 194/3*c**2 = 0. Calculate c.
-1, -1/4, 1, 2, 15
Let s(m) = 2*m**2 + 4 - m + 0*m + 0*m + 10*m. Let h(y) = -6*y**2 - 26*y - 12. Let u(c) = -3*h(c) - 8*s(c). Factor u(j).
2*(j + 1)*(j + 2)
Let j = -123 - -127. Factor 118*k**2 + 20*k**3 - 5*k**j + 5 - 138*k**2 - 5.
-5*k**2*(k - 2)**2
Factor 1/4*x**4 + 63/4*x**2 + 17/4*x**3 + 0 - 81/4*x.
x*(x - 1)*(x + 9)**2/4
Let c be ((-2)/6)/(13/(-117)). Factor 24 + 16*m**2 + 38*m - 2355*m**3 + 4717*m**3 - 2360*m**c.
2*(m + 1)*(m + 3)*(m + 4)
Let s be (-15*(-396)/1680)/((-21)/(-56)). Factor -54/7 - 12/7*u**2 - s*u.
-6*(u + 1)*(2*u + 9)/7
Let d = 847863/2 - 423931. Let g = 11/15 + -2/5. Factor -5/6*i**2 + g - d*i.
-(i + 1)*(5*i - 2)/6
Let w = 42 - 26. Let h be (-24)/(-144)*(w + 0). Factor 0*z + h*z**3 + 0 + 0*z**2 - 8/3*z**4 + 2/3*z**5.
2*z**3*(z - 2)**2/3
Let k(u) = -5*u**2 - 17*u - 3. Let o(a) = -a**3 + 5*a**2 + a + 2. Let i be o(5). Let n(v) = -10*v**2 - 33*v - 7. Let x(c) = i*k(c) - 3*n(c). Factor x(g).
-5*g*(g + 4)
Suppose 0 = 13*g - 39. Factor 1032*w**g + 2*w**4 - 514*w**3 + w**5 - 517*w**3.
w**3*(w + 1)**2
Let x(d) be the third derivative of -d**8/63 - d**7/35 - d**6/180 + 1723*d**2. Find l, given that x(l) = 0.
-1, -1/8, 0
Suppose -40*l = -42*l + 8. Let y(p) = -4*p**2 + 248*p - 3840. Let g(m) = -4*m**2 + 248*m - 3839. Let s(f) = l*g(f) - 5*y(f). Solve s(o) = 0 for o.
31
Let r(s) be the second derivative of s**4/6 - s**3 - 13*s**2/2 - 15*s. Let x be r(6). Factor -x*y**4 - 5*y**2 - 23*y**4 + 51*y**4.
5*y**2*(y - 1)*(y + 1)
Let n be ((-4680)/336 + 14)*7/30. Let g(w) be the third derivative of 1/24*w**3 - 1/32*w**4 + 0*w - n*w**5 - w**2 + 0. What is q in g(q) = 0?
-1, 1/4
Let n(y) be the second derivative of 12*y**2 - 3 + 59*y - y**3 - 1/4*y**4. Factor n(u).
-3*(u - 2)*(u + 4)
Let k(g) be the first derivative of 13*g**4/4 - g**3 + 5*g**2/2 - 3*g - 88. Let u be k(1). Suppose -3/4*m**2 + 6*m - u = 0. Calculate m.
4
Let o(d) be the second derivative of 309*d - 254/3*d**3 + 28*d**2 + 0 + 195/2*d**4 - 81/20*d**5. Determine j, given that o(j) = 0.
2/9, 14
Let c be 5*2/(-55) - 70/(-22). Determine d, given that 18*d**3 + 25*d + 22*d**c + 142*d**2 - 252*d**2 = 0.
0, 1/4, 5/2
Factor 4*i**2 - 6*i**2 + 4611 + 92*i - 5219.
-2*(i - 38)*(i - 8)
Let j(b) be the third derivative of -b**5/480 + 11*b**4/64 - 35*b**3/12 - 3*b**2 - 2*b + 75. Factor j(h).
-(h - 28)*(h - 5)/8
Let i(x) be the second derivative of x**4/66 - 24*x**3/11 + 1296*x**2/11 + 5*x - 57. What is p in i(p) = 0?
36
Suppose 74*s + 26 - 26 = -6*s. Let h(x) be the third derivative of 0 - 1/30*x**5 - 1/3*x**3 + s*x + 4*x**2 - 1/6*x**4. Find u, given that h(u) = 0.
-1
Let h(d) = 2*d**3 + 1. Let g(b) = 7*b**3 - 13*b**2 - 50*b - 52. Let u(y) = -3*g(y) + 12*h(y). Solve u(w) = 0.
-7, -4, -2
Let f(y) be the first derivative of y**7/980 + y**6/210 + 41*y**3/3 + 23. Let a(l) be the third derivative of f(l). Suppose a(p) = 0. What is p?
-2, 0
Let -847995*f + 839870*f - f**2 - 4*f**2 = 0. Calculate f.
-1625, 0
Let u(s) = 66*s**3 + 268*s**2 + 22*s + 26. Let h be u(-4). Solve 2/7*c**4 - 6/7*c**h + 2*c - 6/7*c**3 + 12/7 = 0.
-1, 2, 3
Suppose -6*b + 3920 = -26*b. Let m = b + 199. Factor -5/4*f**m + 1/4*f**2 + 1/4*f + 0 + 3/4*f**4.
f*(f - 1)**2*(3*f + 1)/4
Let u(j) be the third derivative of -j**9/90720 + j**8/15120 + j**7/378 + j**6/45 - 4*j**5/5 + 3*j**2. Let l(r) be the third derivative of u(r). Factor l(d).
-2*(d - 6)*(d + 2)**2/3
Find i such that 4/7*i**4 + 36/7*i**2 - 6*i**3 + 0 + 0*i + 2/7*i**5 = 0.
-6, 0, 1, 3
What is l in 2040*l + 204/5*l**3 - 5402/5*l**2 - 2/5*l**4 - 1000 = 0?
1, 50
Suppose 35*s + 135 = -215. Let b be (-5)/s - 7/(-28). Let b - 27/8*d - 33/8*d**2 = 0. What is d?
-1, 2/11
Let v(z) be the first derivative of 9*z**5/25 + 19*z**4/10 - 20*z**3/3 - 12*z**2/5 - 2919. Suppose v(g) = 0. What is g?
-6, -2/9, 0, 2
Let j(c) = -c**2 + 23*c - 24. Let t be j(22). Let u be 36/432 + (t - 2/(-1)). Factor 1/6 - u*l - 1/12*l**2.
-(l - 1)*(l + 2)/12
Suppose -144148 = -35*b - 144008. Let -3*l**3 + 3*l + 0 - 21/2*l**b + 21/2*l**2 = 0. Calculate l.
-1, -2/7, 0, 1
Suppose -213*h + 209*h - 40 = -5*o, 50 = -5*o - 5*h. Factor o - 4/7*r**3 + 40/7*r + 36/7*r**2.
-4*r*(r - 10)*(r + 1)/7
Let m(j) be the third derivative of 6*j**2 + 1 - 1/4*j**5 + 65/24*j**4 - 5/24*j**6 + 25/3*j**3 + 0*j + 1/42*j**7. Factor m(a).
5*(a - 5)*(a - 2)*(a + 1)**2
Let n be (-16 + 10)/30*0. Let o(p) be the second derivative of n - 1/3*p**4 + 0*p**3 + 2*p