**4 + 0 = 0. Calculate l.
-1, 0, 8
Let f be ((-2)/4)/((19 - -2)/(-105)). Let b(m) be the second derivative of -1/6*m**6 - m**5 - 10/3*m**3 + 0 - 14*m - 5/2*m**4 - f*m**2. Solve b(d) = 0 for d.
-1
Let b = 427/6768 + -1/1692. Let m(f) be the third derivative of 0*f - 13*f**2 + 1/120*f**5 + 0 + 0*f**3 - b*f**4. Find c, given that m(c) = 0.
0, 3
Let g(b) be the first derivative of -73 - 4*b**4 - 16*b - 22*b**2 + 76/3*b**3. Find q such that g(q) = 0.
-1/4, 1, 4
Let q(d) be the first derivative of 2*d**5/55 + 49*d**4/22 - 1329. Let q(k) = 0. What is k?
-49, 0
Let t(m) be the third derivative of -7/12*m**3 - 1/80*m**5 + 0 - 37*m**2 + 0*m + 23/96*m**4. Factor t(q).
-(q - 7)*(3*q - 2)/4
Suppose 8*k + 6 + 18 = 0. Let g be k*1 + (0 + -27)*-3. Find a such that -g*a**5 - 79*a**5 - 12*a**2 - 20*a**4 - 28*a**3 + 153*a**5 = 0.
-3, -1, 0
Let o(v) = 3*v**3 - 2*v**2 + 3*v. Let i(w) = w**3. Let a = 78 - 75. Suppose 5 = -2*l - a. Let q(d) = l*i(d) + o(d). Let q(z) = 0. Calculate z.
-3, 0, 1
Let v(p) be the second derivative of p**7/168 - 5*p**6/36 + p**5/2 + 15*p**4 - 31*p**3/3 - 20*p. Let c(w) be the second derivative of v(w). Factor c(i).
5*(i - 6)**2*(i + 2)
Find f, given that 0*f + 0*f**2 + 0 - 2/3*f**4 + 52*f**3 = 0.
0, 78
Let o(d) be the first derivative of d**7/1260 - d**6/135 + d**5/36 - d**4/18 - 170*d**3/3 + 260. Let c(f) be the third derivative of o(f). Factor c(m).
2*(m - 2)*(m - 1)**2/3
Let s(q) = 2*q**3 + 14*q**2 - 368*q - 2248. Let w be s(-6). Factor -192 - 4/3*z**2 - w*z.
-4*(z + 12)**2/3
Let s(h) = h**3 - 11*h**2 - 74*h + 298. Let j be s(3). Factor -3/5*f**2 - 1/5*f**j - f**3 + 4/5 + f.
-(f - 1)*(f + 1)**2*(f + 4)/5
Let l be 888/5032*(-340)/(-45). Factor 2/3*u**5 + 8/3*u**4 - l - 10/3*u - 4/3*u**2 + 8/3*u**3.
2*(u - 1)*(u + 1)**3*(u + 2)/3
Let x = 31333059/155 + -202148. Let f = x - -1/31. Factor -2/5*h**3 + 2/5*h + f*h**2 - 4/5.
-2*(h - 2)*(h - 1)*(h + 1)/5
Let y(a) be the second derivative of a**6/120 + a**5/8 - 13*a**4/48 - 11*a**3/12 + a + 375. Solve y(b) = 0 for b.
-11, -1, 0, 2
Let m(g) be the first derivative of g**4/42 + 4*g**3/21 - 42*g + 57. Let r(b) be the first derivative of m(b). Determine d so that r(d) = 0.
-4, 0
Let d = -23 + 19. Let p be 2/d*2*(-2 + -861). Factor -4*t + t**3 + 3*t + t**2 - p + 862.
(t - 1)*(t + 1)**2
Let k(b) = -2*b + 24. Let f be k(11). Factor -84*q**f + 35*q - 12 - 111*q**2 + 49*q + 48*q**2.
-3*(7*q - 2)**2
Suppose -21*z + 931 = 889. Let i = 1/33 - -3/22. Determine w, given that -1/2*w**4 - 1/3*w**3 + 0*w**z + 0 + 0*w - i*w**5 = 0.
-2, -1, 0
Factor 70*s**4 - 150 + 3427*s**5 - 200*s**2 - 7*s**3 + 365*s - 83*s**3 - 3422*s**5.
5*(s - 1)**3*(s + 2)*(s + 15)
Let o(c) = 17*c**2 + c - 34. Let b(y) = 7*y - 95. Let r be b(14). Let w(g) = 14*g**2 + 2*g - 33. Let s(x) = r*o(x) - 4*w(x). Factor s(d).
-5*(d - 2)*(d + 3)
Factor -256/7 + 80/21*o + 2/21*o**2.
2*(o - 8)*(o + 48)/21
Let q(r) be the second derivative of -r**4/36 + 6*r**3 + 114*r**2 + 819*r - 1. Suppose q(j) = 0. What is j?
-6, 114
Let k = 471328/7 + -471326/7. Factor -18/7*a + 20/7 - k*a**2.
-2*(a - 1)*(a + 10)/7
Let x be 0/5*198/1980. Let t be (-1)/3 + (-280)/(-264). Factor x - t*c**2 - 8/11*c - 2/11*c**3.
-2*c*(c + 2)**2/11
Let r(c) be the second derivative of c**5/240 - 29*c**4/48 + 95*c**3/12 - 100*c**2/3 - 9075*c. Factor r(f).
(f - 80)*(f - 5)*(f - 2)/12
Let k(r) be the second derivative of -r**6/720 + r**5/360 - 39*r**2 - 3*r + 1. Let n(j) be the first derivative of k(j). Factor n(v).
-v**2*(v - 1)/6
Let y(s) be the second derivative of -2*s**6/15 - 2*s**5/5 + 241*s**4/3 - 476*s**3/3 + 19*s + 1. Let y(l) = 0. Calculate l.
-17, 0, 1, 14
Let m(h) = h**4 + h**3 - 4*h - 2. Let f(y) = 24*y**4 + 218*y**3 - 5312*y**2 + 33688*y - 62004. Let g(w) = f(w) - 26*m(w). Factor g(v).
-2*(v - 44)**2*(v - 4)**2
Let y = 424056/742049 + -4/106007. Factor -y*x**2 - 2/7*x**3 + 2/7*x + 1/7*x**4 + 3/7.
(x - 3)*(x - 1)*(x + 1)**2/7
Let z(q) be the first derivative of 2*q**3/9 + 41*q**2/3 - 172*q/3 - 176. Factor z(i).
2*(i - 2)*(i + 43)/3
Let z(s) = -57*s + 3936. Let v be z(69). Let c be (-4)/20 + 2/10. Determine t, given that 0*t**2 + c*t + 0 - 5/4*t**4 + 5/4*t**v = 0.
0, 1
Let w(y) be the third derivative of 5/24*y**4 + y**2 - 5/2*y**3 - 1/24*y**6 + 14 + 1/4*y**5 + 0*y. Factor w(m).
-5*(m - 3)*(m - 1)*(m + 1)
Suppose 0 = 92*f - 68*f. Let y(o) be the third derivative of 0*o**4 - 1/100*o**5 + 15*o**2 + f*o + 1/10*o**3 + 0. Find j such that y(j) = 0.
-1, 1
Factor 1224/5*g - 21/5*g**2 - 348/5.
-3*(g - 58)*(7*g - 2)/5
Determine i, given that 46/3*i**2 + 0 + 16*i - 2/3*i**3 = 0.
-1, 0, 24
Let p(w) = w**2 - 10*w - 8. Let i be p(5). Let t = i + 38. Suppose -26*k**5 + 15*k**4 + 21*k**t + 15*k**3 - 10*k**2 - 15*k**4 = 0. What is k?
-2, 0, 1
Let l(z) be the third derivative of z**7/21420 + z**6/340 - 19*z**5/1020 + 163*z**4/24 - 9*z**2 - 2. Let b(x) be the second derivative of l(x). Factor b(m).
2*(m - 1)*(m + 19)/17
Let l(f) = -53*f**2 - 67*f + 378. Let p(j) = -150*j**2 - 200*j + 1134. Let z(s) = -17*l(s) + 6*p(s). Let z(u) = 0. What is u?
7, 54
Let b(h) = -11*h**2 + 99*h + 2. Suppose -7*i = -2*i - 3*z - 60, 5*i = 4*z + 65. Let m be b(i). Factor 0 + 2*a**m - 8*a**3 + 14/3*a**4 + 4/3*a.
2*a*(a - 1)**2*(7*a + 2)/3
Let r = 817 - 816. Let s(i) = -i**2 + 82*i - 214. Let d(y) = y**2 + 3*y - 1. Let b(a) = r*s(a) + 6*d(a). Find p, given that b(p) = 0.
-22, 2
Suppose 48/5*j**3 - 288/5 - 4/5*j**4 - 212/5*j**2 + 408/5*j = 0. What is j?
2, 3, 4
Let m(z) be the third derivative of z**6/24 + 73*z**5/12 - 255*z**4/8 - 375*z**3/2 - 6*z**2 + 32*z - 2. Determine u, given that m(u) = 0.
-75, -1, 3
Suppose -1730 = -37*q - 620. Let y(h) be the first derivative of -16/7*h - 16/7*h**2 - 20/21*h**3 - 1/7*h**4 + q. Factor y(i).
-4*(i + 1)*(i + 2)**2/7
Let t(p) be the third derivative of p**6/120 - 13*p**5/60 - 51*p**4/8 - 105*p**3/2 + 7380*p**2. Factor t(q).
(q - 21)*(q + 3)*(q + 5)
Let s(t) be the first derivative of t**3/12 + 15*t**2/8 - 4*t - 655. Let s(x) = 0. What is x?
-16, 1
Let p be (-3)/(((-130)/(-13))/(-10)). Let y(t) be the second derivative of -1/6*t**4 - 29*t + 0 - 1/3*t**p + 2*t**2. Factor y(f).
-2*(f - 1)*(f + 2)
Let l(h) be the first derivative of -h**6/3 - 8*h**5/5 - h**4 + 8*h**3/3 + 3*h**2 + 8. Determine z so that l(z) = 0.
-3, -1, 0, 1
Suppose 24*x + 168 - 152*x + 178*x**2 - 91*x**2 - 85*x**2 - 42*x = 0. What is x?
1, 84
Let o be -6*((-4)/16 - -1)*-6. Factor 8*c**2 + 295*c**3 + 9*c**2 + 45*c - 292*c**3 + o + 4*c**2.
3*(c + 1)*(c + 3)**2
Let s(w) be the third derivative of -w**7/630 + w**6/90 + 7*w**5/180 - 17*w**4/36 + 4*w**3/3 - 25*w**2 - 19. Suppose s(x) = 0. Calculate x.
-3, 1, 2, 4
Let f(u) be the first derivative of 25*u**4/24 - 2545*u**3/9 + 21505*u**2 + 17340*u - 7825. Factor f(h).
5*(h - 102)**2*(5*h + 2)/6
Let j(y) be the third derivative of -2*y**7/105 + 56*y**6/15 - 3454*y**5/15 + 2968*y**4 - 16854*y**3 - 1747*y**2. Suppose j(t) = 0. What is t?
3, 53
Let s be (-9)/(-21) + 9/((-315)/50). Let g(x) = x**3 - x**2 - 1. Let r(b) = -25*b**4 + 145*b**3 - 170*b**2 + 10*b + 35. Let u(m) = s*r(m) + 5*g(m). Factor u(o).
5*(o - 4)*(o - 1)**2*(5*o + 2)
Let y(d) be the third derivative of -d**6/240 + d**5/5 + 283*d**4/48 + 77*d**3/2 + 9532*d**2. Find f such that y(f) = 0.
-7, -2, 33
Let q = -189971 - -189974. Determine t so that 0 + 0*t + 1/2*t**4 + q*t**2 + 5/2*t**3 = 0.
-3, -2, 0
Suppose 2/5*h**2 + 821*h - 2053/5 = 0. Calculate h.
-2053, 1/2
Let n = 56 + -43. Suppose -14*c = -n*c - 9. Suppose 3*d**2 + 12*d**2 + c + 15*d + 3*d**2 - 3*d**3 - 15*d**2 = 0. What is d?
-1, 3
What is k in 15/2*k**2 + 5 - 45/4*k - 5/4*k**3 = 0?
1, 4
Let r = -1826 - -3330. Solve 1564*a**5 + 2*a**3 - 5*a**3 + 3*a**4 - r*a**5 = 0 for a.
-1/4, 0, 1/5
Let 5*p**5 + 3545*p**3 - 12099 - 15860*p**2 + 27161 - 17835*p + 1805*p**3 + 23057 + 37571 - 310*p**4 = 0. Calculate p.
-2, 3, 29
Let a = -202499/6 + 33750. Factor -a*g**4 + g**2 + 0 - 1/6*g**3 + 0*g.
-g**2*(g - 2)*(g + 3)/6
Let q(y) be the third derivative of -99*y**8/56 - 1186*y**7/105 - 887*y**6/30 - 196*y**5/5 - 289*y**4/12 + 2*y**3/3 + 1115*y**2. Find b such that q(b) = 0.
-1, 2/297
Let w(l) be the second derivative of -l**6/20 - 27*l**5/20 - 17*l**4/8 + 413*l. Factor w(z).
-3*z**2*(z + 1)*(z + 17)/2
Solve -24*j**2 + 8*j + 52*j**2 - 118 - 194 + j + 11*j = 0.
-26/7, 3
Let 