y**6/240 - 11*y**4/2 + 13*y. Let l(d) be the third derivative of b(d). Factor l(h).
-h*(h - 3)*(h - 1)
Suppose -87*r - 4181 = -701. Let y(l) = l**3 + 42*l**2 + 80*l. Let h be y(r). Solve d - 1/3*d**2 + h = 0.
0, 3
Solve 3/5*a**3 - 1881*a**2 - 7366467/5 + 7375869/5*a = 0.
1, 1567
Let m = -2/11781 + 11789/47124. Let w(i) be the first derivative of -42 + 1/8*i**2 - 1/16*i**4 + 1/2*i + 1/20*i**5 - m*i**3. Suppose w(o) = 0. Calculate o.
-1, 1, 2
Let g = 27 - 22. Suppose -g*j = -6*j + 17. Factor 31 + 21 + 36*c**2 - 40*c - j - 31*c**2.
5*(c - 7)*(c - 1)
Let n(c) be the first derivative of 1/12*c**3 - 190 + 45/8*c**2 + 11*c. Suppose n(j) = 0. Calculate j.
-44, -1
Let l(f) be the second derivative of 2*f**6/55 + 53*f**5/22 + 145*f**4/33 - 475*f**3/33 - 86*f**2/11 + 68*f + 24. Solve l(t) = 0.
-43, -2, -1/6, 1
Let o = -69550/7 - -69574/7. Factor 2/7*t**2 + 22/7 - o*t.
2*(t - 11)*(t - 1)/7
Let z = 1/4783 + -5481/3338534. Let w = z - -2795/2094. Let 0 + 16/3*o**2 - w*o + 3*o**3 = 0. What is o?
-2, 0, 2/9
Suppose -314/11*n + 26/11*n**3 + 34/11*n**2 + 2/11*n**4 + 252/11 = 0. Calculate n.
-9, -7, 1, 2
Let o = -1139812/9 + 126309. Let s = o - -337. Solve -10/9*q**2 - 2/3*q**3 - 4/9*q + 2/9*q**4 + 0 + s*q**5 = 0.
-1, 0, 2
Let b(v) be the second derivative of -2*v**4/9 - 41*v**3/9 + 53*v**2 - 2184*v. Factor b(m).
-2*(m - 3)*(4*m + 53)/3
Let -12*u**2 - 9 + 8*u**2 + 58*u - 4*u**3 - 23 - 18*u = 0. What is u?
-4, 1, 2
Let v(n) be the second derivative of n**5/80 - 91*n**4/24 - 367*n**3/24 - 23*n**2 + 5*n - 310. Factor v(g).
(g - 184)*(g + 1)**2/4
Let t(o) = -5*o**2 + 174*o + 3. Let v(w) = 16*w**2 - 550*w - 10. Let p(c) = -10*t(c) - 3*v(c). Factor p(g).
2*g*(g - 45)
Let y(q) = -9*q**2 - 321*q - 1395. Let g(p) = -10*p**2 - 326*p - 1398. Let x(i) = -5*g(i) + 6*y(i). Factor x(c).
-4*(c + 5)*(c + 69)
Let k(v) be the first derivative of 3*v**4/16 + 69*v**3/2 + 2769*v**2/8 + 1179*v/2 - 2379. Factor k(d).
3*(d + 1)*(d + 6)*(d + 131)/4
Let h(p) be the second derivative of p**4/15 + 128*p**3/15 + 118*p**2 - 81*p + 3. Factor h(t).
4*(t + 5)*(t + 59)/5
Let h(q) be the third derivative of -q**6/30 + 59*q**5/15 - 28*q**4/3 - 232*q**3/3 + 5*q**2 + 8. Factor h(b).
-4*(b - 58)*(b - 2)*(b + 1)
Let x(g) = 14*g**3 - 60*g**2 + 66*g - 8. Suppose 0 = -8*q + 191 - 183. Let v(o) = -o**2 + o. Let d(u) = q*x(u) - 2*v(u). Determine b, given that d(b) = 0.
1/7, 2
Suppose -8*t + 68 = 28. Factor 114*s**2 + 75*s**3 + 54*s + 8*s + 22*s + 24 + 3*s**t + 24*s**4.
3*(s + 1)**2*(s + 2)**3
Determine l, given that 42 + 2/3*l**2 - 16*l = 0.
3, 21
Factor 0 + 1/12*l**2 + 182/3*l.
l*(l + 728)/12
Let t be (1 + -22)/(-20 - 888/(-48)). Let y(i) be the second derivative of 1/5*i**4 + 0*i**2 + t*i + 2/5*i**3 + 3/100*i**5 + 0. Solve y(w) = 0 for w.
-2, 0
Let k = 3203/75144 - 3/3131. Let c(t) be the second derivative of 0*t**2 - 5/12*t**3 + k*t**4 - 8*t + 0. Suppose c(x) = 0. Calculate x.
0, 5
Suppose 4*c - 3*h - 25 = 0, -5*c = -15*h + 10*h - 35. Suppose -8*v**2 + 8*v**c + v - 5*v - 1547*v**5 + 1551*v**5 = 0. Calculate v.
-1, 0, 1
Factor -2/11*h**2 - 30/11*h - 72/11.
-2*(h + 3)*(h + 12)/11
Suppose -2*q + 3*p = -277 + 36, 4*p = q - 123. Let h = 125 - q. Factor -i - 20 + 5*i**2 + 10 + h*i.
5*(i - 1)*(i + 2)
Let w be ((-1190)/20)/17*(14 - 3609/252). Let -3/8*p**2 - w*p - 5/8 + 1/8*p**3 = 0. Calculate p.
-1, 5
Let c(a) = -4*a**5 - 12*a**4 - 24*a**3 + 16*a**2 + 80*a - 16. Let b(p) = -p**5 - p**4 + 2*p**3 - 2*p - 2. Let i(w) = -8*b(w) + c(w). Solve i(x) = 0.
-2, 0, 2, 3
Let c(g) be the second derivative of -g**4/6 + 1288*g**3 - 3732624*g**2 - 2*g + 964. Find w, given that c(w) = 0.
1932
Suppose -2662*d - 4 = -2664*d - 5*f, -5*f = -4*d + 8. Factor 108 - 12*h + 1/3*h**d.
(h - 18)**2/3
Let y(w) be the third derivative of -w**6/540 - 197*w**5/270 + 397*w**4/108 - 199*w**3/27 - 1945*w**2. What is b in y(b) = 0?
-199, 1
Suppose 2*q - 6*i + 10*i = 0, 18 = 2*q - 2*i. What is m in 155*m**2 - 43*m**2 + 864*m + 183*m**2 + 432 + q*m**3 + 14*m**3 - 43*m**2 = 0?
-6, -3/5
Suppose -28*i + 13*i + 109*i = 282. Factor 0 + 3/7*d**4 + 0*d + 3/7*d**5 - 3/7*d**2 - 3/7*d**i.
3*d**2*(d - 1)*(d + 1)**2/7
Let a be ((-4)/2 + 3)/(7 + 68/(-14)). Let n(p) be the third derivative of 11/6*p**4 + 10/3*p**3 + 0 + a*p**5 + 11*p**2 + 0*p + 1/30*p**6. Factor n(k).
4*(k + 1)**2*(k + 5)
Factor -218*q**2 - 1400 - 222*q**2 + 2*q + 444*q**2 + 42*q.
4*(q - 14)*(q + 25)
Let n(k) be the second derivative of -k**7/84 - k**6/12 + 21*k**5/40 + 29*k**4/24 - 32*k**3/3 + 21*k**2 - 1870*k. Find z such that n(z) = 0.
-7, -3, 1, 2
Let c be 5 - 2 - (3 - 7). Suppose -8*o - 2*d - 30 = -13*o, -5*o - d = -15. Suppose m**o - c*m**3 + 40*m + 6*m**2 - 27 - m**3 + 52 = 0. What is m?
-1, 5
Let s(b) be the third derivative of 1/100*b**6 - 3/50*b**5 - 1/20*b**4 - 2 - 23*b**2 + 1/175*b**7 + 2/5*b**3 + 0*b. Factor s(r).
6*(r - 1)**2*(r + 1)*(r + 2)/5
Let d = 34 - -467. Let s = 501 - d. Find c such that -2/17*c**2 - 4/17*c + s = 0.
-2, 0
Suppose 0 = -24*w - 1048*w - 167*w + 2478. Find g such that g + 1/5*g**3 + 2/5 + 4/5*g**w = 0.
-2, -1
Let p(u) be the first derivative of -u**5/30 + 25*u**4/12 + 26*u**3/3 + 79*u**2/6 + 53*u/6 + 2281. Find l, given that p(l) = 0.
-1, 53
Let b(d) = 20*d**3 - 43*d**2 + 48*d. Let x(c) = 6*c**3 - 14*c**2 + 16*c. Let y(z) = -2*b(z) + 7*x(z). Factor y(h).
2*h*(h - 4)*(h - 2)
Let j(z) = 5*z - 13. Let y be j(5). Let u be (-4)/16*(0/1 - y). Determine t so that 6*t**u + 4*t**2 + 11*t**4 - 7*t**4 + 2*t**3 = 0.
-1, 0
Let u(a) be the third derivative of 2*a**7/105 + 932*a**6/5 + 3908808*a**5/5 + 1821504528*a**4 + 2546463330144*a**3 + 2*a**2 - 208*a - 2. What is k in u(k) = 0?
-1398
Let t = 12335 - 12333. Let w(d) be the third derivative of 0*d**3 - 1/210*d**5 + 1/84*d**4 + 0 + 0*d - 12*d**t. Suppose w(l) = 0. What is l?
0, 1
Let k be 38 + 12/(288/(-888)). Suppose -4*q - 2*i + 5 = -5*i, 2*q - 3 = i. Factor 1/2*l**3 - 1/2*l + k - l**q.
(l - 2)*(l - 1)*(l + 1)/2
Suppose 4*g = -20 + 8, 5*d - 10 = -5*g. Factor -30*u**3 - 87*u**2 + 193*u**2 + d*u - 10 - 71*u**2.
-5*(u - 1)*(2*u + 1)*(3*u - 2)
Suppose -4*r = t - 7*r + 11, 2*t = 5*r - 17. Factor 14*w**4 + 3*w**5 - 8*w**4 - 7*w**4 - 5*w**t.
3*w**4*(w - 2)
Let r(t) be the second derivative of -1/20*t**5 - 441*t**2 + 61*t - 119/2*t**3 + 10/3*t**4 + 0. Factor r(f).
-(f - 21)**2*(f + 2)
Let x(o) be the third derivative of -o**5/240 - 9*o**4/16 + 295*o**3/24 + 4595*o**2. Determine a, given that x(a) = 0.
-59, 5
Let v(m) = 188*m**2 + 164*m - 352. Let d(g) = -g**3 - 187*g**2 - 166*g + 354. Let j(u) = -4*d(u) - 3*v(u). Suppose j(k) = 0. What is k?
-45, -2, 1
Let c be (-226)/(-57) - 4/(-14)*-7. Let g = c - 12/19. Determine o, given that -5/3*o**3 - g*o**4 + 0 - 2/3*o**2 - 1/3*o**5 + 0*o = 0.
-2, -1, 0
Suppose -4*h = -3*z - 61, -h - 5*z + 44 = -0*h. Suppose 0 = 4*p + y - 2*y - 10, 3*p + 5*y = h. Determine l so that -2*l**p + 22 - 6*l**2 - 22 = 0.
-3, 0
Let c be (45/(-135)*6)/((-1 - -3)/(-4)). Let -5/2*h + 1/2 - 1/2*h**c + 15/8*h**2 + 5/8*h**3 = 0. What is h?
-2, 1/4, 1, 2
Let g(d) = -d**2 - 187*d - 1541. Suppose q - 9 + 26 = 5*a, -4*a + 7 = -3*q. Let f(k) = -93*k - 771. Let x(t) = q*g(t) - 5*f(t). Solve x(h) = 0 for h.
-16
Let b(v) = 2*v**2 + 18*v - 12. Let d(q) be the second derivative of -q**4/12 - q**3/6 + q**2 + 4*q - 3. Let t(h) = -b(h) - 6*d(h). Factor t(f).
4*f*(f - 3)
Let o(q) be the second derivative of -q**7/252 + q**6/180 + q**5/12 + q**4/9 - 4446*q. Find y, given that o(y) = 0.
-2, -1, 0, 4
Suppose 14*y - 12*y = 0. Suppose y = o - 3 + 1. Determine j so that 21/8*j + 9/4 + 3/8*j**o = 0.
-6, -1
Let i(o) be the second derivative of -o**4/24 - 5*o**3/6 - 4*o**2 + 3875*o. Solve i(j) = 0.
-8, -2
Let r be (83127/132)/11 - 55. Let j be (-3)/(-1 + -1*1). Factor -j*i + 0 + 13/4*i**2 - r*i**3 + 1/2*i**4.
i*(i - 2)*(i - 1)*(2*i - 3)/4
Suppose 2*f - 3*v = 1, 10*f + 2*v - 21 = 7*f. Suppose 20 = 5*x + f*x. Suppose -5*z - 16*z + 40 - 9*z + 5*z**x = 0. What is z?
2, 4
Let q be 3/(6/292)*(-10)/20. Let i = q - -100. Factor -491*x**5 - 10*x**3 + 470*x**5 + i*x**4 + 4*x**3.
-3*x**3*(x - 1)*(7*x - 2)
Factor 1563/4 - 1/4*c**2 - 259/2*c.
-(c - 3)*(c + 521)/4
Let s(d) = 2*d + 47. Let a be s(-22). Suppose -a*r = 5*r - 160. Factor -r*h**3 + 4*h - 17*h**3 + 2*h**2 + 31*h**3 + 2*h**5 + 0*h**5 - 2*h**4.
2*h*(h - 2)*(h - 1)*(h + 1)**2
Suppose 12*y**2 +