n = 0 for a.
-9, 0
Let t be 22/88*(8*2)/2. Factor 2*r - 99 + 8*r**4 + 99 + 5*r**5 + 8*r**t + r**5 - 4*r**5 + 12*r**3.
2*r*(r + 1)**4
Let k(p) be the first derivative of -p**4/4 - 181*p**3/3 - 4312*p**2 - 38720*p - 1807. Find g such that k(g) = 0.
-88, -5
Let t(f) be the third derivative of -3*f + 0*f**3 - 1/35*f**7 - 5*f**2 + 1/112*f**8 + 2/5*f**5 - 3/40*f**6 - 1/2*f**4 + 0. Solve t(v) = 0 for v.
-2, 0, 1, 2
Let b(w) be the second derivative of -2 - 52/9*w**3 + 1352/3*w**2 + 84*w + 1/36*w**4. Factor b(i).
(i - 52)**2/3
Let t(l) be the first derivative of l**3/9 + 655*l**2 + 1287075*l - 112. Find n such that t(n) = 0.
-1965
Let -784/3 - 104/3*r**3 - 688/3*r**2 + 1540/3*r + 4/3*r**5 + 32/3*r**4 = 0. Calculate r.
-7, 1, 4
Let i = 47 + -41. Suppose 3*f = 3, -i*f + 7 = r - 2*f. What is l in -3 - 2*l**2 + 1 + 4*l**2 + 3*l - r*l**2 = 0?
1, 2
Suppose 66 = 271*b - 260*b. Suppose 4*z = -3*p + 7*p, 0 = -3*p + 5*z - b. Factor -2/3*r**p + 0*r**2 + 0 + 2/3*r.
-2*r*(r - 1)*(r + 1)/3
Let d(s) be the third derivative of s**5/570 + 1331*s**4/57 + 7086244*s**3/57 + 8480*s**2. Find q, given that d(q) = 0.
-2662
Let u(b) = 15 + 78*b + 10*b**2 + 84*b - 165*b - b**2. Let f be 3*1/(-9)*-6. Let m(x) = x**2 + x + 1. Let p(d) = f*u(d) - 14*m(d). Solve p(j) = 0 for j.
1, 4
Suppose -759 = -22*g + 231. Suppose -5*q**2 + 428*q + 2*q**2 - g - 404*q = 0. Calculate q.
3, 5
Let z(s) = -s**3 + 10*s**2 - 23*s + 5. Let o be z(5). Suppose -o*p + 234 = 63*p. Let 0*i + 1/2*i**p + 0 - i**2 + 1/2*i**4 = 0. What is i?
-2, 0, 1
Let w = 2825 + -1262773/447. Let z = 49/149 + w. Factor -2/3*b**3 + 2/3*b + z*b**2 - 1/3*b**4 + 0.
-b*(b - 1)*(b + 1)*(b + 2)/3
Let m(a) = 8*a**3 + 6922*a**2 + 2394327*a - 2401251. Let n(j) = 17*j**3 + 13843*j**2 + 4788658*j - 4802504. Let z(i) = -7*m(i) + 3*n(i). Factor z(c).
-5*(c - 1)*(c + 693)**2
Let c be (1/6 - 121/(-66)) + 6. Let m be (-14 - -10)/(c/(-6)). Suppose 0 - 7/6*t**m + 0*t + 1/2*t**2 = 0. What is t?
0, 3/7
Let d(o) be the first derivative of 8*o**3/3 - 82*o**2 + 156*o - 2086. Determine w, given that d(w) = 0.
1, 39/2
Let q(r) be the third derivative of -r**7/70 - 9*r**6/40 - 9*r**5/20 + 41*r**4/8 + 21*r**3 - 13701*r**2. Suppose q(t) = 0. What is t?
-7, -3, -1, 2
Let w = -1366249 - -6831261/5. Determine c, given that 104/5*c**2 + 0 - 10*c**5 - w*c - 228/5*c**3 + 38*c**4 = 0.
0, 2/5, 1, 2
Suppose 72*u - 74*u + 12 = 0. Suppose 2*k**2 - 495*k**4 + u*k**3 - 2*k**3 + 4*k**2 + 493*k**4 = 0. Calculate k.
-1, 0, 3
Let z be 200/56 + -1*1 - 60/105. Let s(g) be the third derivative of -2/75*g**6 + 0*g**3 - 1/30*g**4 - 1/15*g**5 + 0 + 0*g + 16*g**z. What is t in s(t) = 0?
-1, -1/4, 0
Let s(o) be the third derivative of o**6/30 + 121*o**5/20 - 537*o**4/8 + 190*o**3/3 + 2*o**2 + 132. Factor s(p).
(p - 4)*(p + 95)*(4*p - 1)
Let i(h) = 3*h - 14. Let u = -26 + 34. Let b be i(u). What is g in -51*g + 3*g**3 + b + 3*g**3 + 56*g + 4*g**3 - 25*g**2 = 0?
-1/2, 1, 2
Let v(n) be the second derivative of n**6/720 - n**5/80 - n**4/12 + 3*n**3 - 3*n**2/2 - 55*n. Let t(s) be the second derivative of v(s). Factor t(r).
(r - 4)*(r + 1)/2
Let t(k) be the first derivative of -k**4/54 - 128*k**3/27 - 4096*k**2/9 + 169*k - 178. Let a(x) be the first derivative of t(x). Suppose a(p) = 0. What is p?
-64
Let a = 2428 + -2428. Let r(d) be the second derivative of a + 20*d - 1/30*d**4 - 2/5*d**2 - 1/5*d**3. Factor r(f).
-2*(f + 1)*(f + 2)/5
Let d(p) be the third derivative of p**6/180 - 49*p**5/60 - 179*p**3/6 + 213*p**2. Let i(x) be the first derivative of d(x). Factor i(v).
2*v*(v - 49)
Suppose 14*p - 80 = 4*p. Suppose -2*u + 6*u**2 - 2*u**2 + u**2 + 10*u**2 - 3*u**3 - p - 2*u**2 = 0. What is u?
-2/3, 1, 4
Suppose -63 = -8*g + 17. Let f be 1/(-2*1) + 755/g. Factor -12*a**2 + 3*a**5 - 75*a + 9*a**4 + f*a.
3*a**2*(a - 1)*(a + 2)**2
Let r(c) = 5*c**2 - 671*c + 335. Let h(x) = -56*x**2 + 7380*x - 3684. Let l(y) = 3*h(y) + 32*r(y). Factor l(n).
-4*(n - 83)*(2*n - 1)
Determine k, given that -1/7*k**5 + 15/7*k**2 + 5/7*k**3 - 3/7*k**4 - 4/7*k - 12/7 = 0.
-3, -2, -1, 1, 2
Let a(z) be the third derivative of z**5/120 - 21*z**4/16 + 61*z**3/6 - 48*z**2 - 1. Factor a(k).
(k - 61)*(k - 2)/2
Determine o so that 31232*o**2 + 6*o**5 - 13609*o**2 + 27029*o**2 + 12627*o**3 + 378*o**4 - 3*o**5 = 0.
-61, -4, 0
Let y(m) be the second derivative of m**4/18 - 238*m**3/3 - 715*m**2/3 - 6302*m. Factor y(f).
2*(f - 715)*(f + 1)/3
Let c(j) = 26*j + 49. Let r be c(0). Solve 41*v + 52*v**3 - 36*v**2 + r - 49 - 24*v**4 - 33*v = 0.
0, 1/2, 2/3, 1
Let g be (256/(-8))/4 - -6. Let q be -6*(g/8 - (-1 + 1)). Factor 6*b**2 + 0 - q*b**3 - 9/2*b.
-3*b*(b - 3)*(b - 1)/2
Let v(a) = -5*a**2 - 447*a + 898. Let b(s) = s + 6. Let l(r) = 2*b(r) + v(r). Suppose l(o) = 0. Calculate o.
-91, 2
Let r = 74 - 69. Suppose -t - 4 = 1, -t = r*h - 10. Factor 29 + 9*x**h - 7*x**3 - 29 + x**4 + x**2.
x**2*(x + 1)**2
Let w be (16/(-6))/(32/48). Let s(n) = 6*n**3 + 4*n**2 + 2*n - 4. Let o(l) = -25*l**3 - 15*l**2 - 9*l + 17. Let v(j) = w*o(j) - 18*s(j). Factor v(c).
-4*(c + 1)**2*(2*c - 1)
Suppose 113*s**2 + 237*s - 14*s**3 + 90 - 85*s + 109*s = 0. What is s?
-3/2, -3/7, 10
Let n(k) be the second derivative of -5*k**4/12 + 2105*k**3/2 + 3160*k**2 - 5698*k. Suppose n(i) = 0. What is i?
-1, 1264
Let b(m) be the third derivative of 7/15*m**5 - 11*m**2 - 1/6*m**4 + 1/30*m**6 + 0*m + 0*m**3 + 1 - 2/15*m**7. Factor b(a).
-4*a*(a - 1)*(a + 1)*(7*a - 1)
Let h(r) = -5*r**2 + 121*r + 100. Let j be h(25). Suppose 105 - 35 = 5*t. Factor 0*u**4 + 12*u**2 + t*u**5 - 9*u**4 - 11*u**5 + j*u**2.
3*u**2*(u - 2)**2*(u + 1)
Let g = 344988 + -344985. Factor 28/5*x**2 - 2/5*x**g + 0 - 26/5*x.
-2*x*(x - 13)*(x - 1)/5
Let f(k) be the first derivative of -5*k**6/12 + 227*k**5/30 - 255*k**4/8 + 953*k**3/18 - 37*k**2 + 22*k/3 - 3157. Find m such that f(m) = 0.
2/15, 1, 2, 11
Let g be 267/87 - (-2 - 1620/(-783)). Determine m so that 0 + 2/5*m**2 + 4/5*m - 2/5*m**g = 0.
-1, 0, 2
Solve 40/13*b + 50/13*b**5 - 248/13*b**2 + 0 + 498/13*b**3 - 340/13*b**4 = 0.
0, 2/5, 1, 5
Let f be 72/7 + (-95)/(-35) + -3. Let i(k) = -k**2 + 9*k + 12. Let d be i(f). Suppose -19*q**2 - 5*q**4 + 27*q**d + 4 - 16*q**3 - 7*q**4 + 16*q = 0. What is q?
-1, -1/3, 1
Determine i so that 87*i**2 + 3/4*i**4 - 351/4*i**3 + 0*i + 0 = 0.
0, 1, 116
Let j(i) be the third derivative of i**5/390 + 220*i**4/39 + 193600*i**3/39 + 1071*i**2. Solve j(x) = 0.
-440
Suppose 0 = 110*r + 23599 - 24039. Factor 0 + r*l**2 + 2/7*l**3 - 30/7*l.
2*l*(l - 1)*(l + 15)/7
Let j = -413770 + 413778. What is o in -298*o**3 + j - 84*o - 81/4*o**5 + 261/2*o**4 + 276*o**2 = 0?
2/9, 2
Factor -26042*h**2 + 139537200*h + 4*h**3 + 10503*h**2 - 15138*h**2 - 9790*h**2 - 158607284000 - 453*h**2.
4*(h - 3410)**3
Let f(n) = 3*n**3 + n + 4. Let t(k) = -26*k**3 - 28*k**2 + 544*k - 1904. Let q(z) = -8*f(z) - t(z). Determine i so that q(i) = 0.
-26, 6
Let s = 369 + -351. Let z be -5*(-7)/(210/s). Let 0*x + 0*x**2 + 0 + 4/3*x**4 - 4/3*x**z - 1/3*x**5 = 0. Calculate x.
0, 2
Suppose -27*r + 24 = -15*r. What is s in 9*s**3 + 34*s**2 - 3*s**5 + 35*s**r + 33*s**2 - 96*s**2 = 0?
-1, 0, 2
Let p(h) be the second derivative of -1/160*h**5 + 5/96*h**4 + 20*h + 1 + 0*h**2 - 1/8*h**3. What is t in p(t) = 0?
0, 2, 3
Let n be ((-65)/208)/(39/(-312)). Factor -25/2*m + 0 - n*m**2.
-5*m*(m + 5)/2
Let 206*y + 292*y**2 - 204 + 35*y - 34*y - 295*y**2 = 0. Calculate y.
1, 68
Let w(b) be the first derivative of -5*b**6/3 - 62*b**5/5 - 51*b**4/2 - 58*b**3/3 - 4*b**2 + 382. Determine j, given that w(j) = 0.
-4, -1, -1/5, 0
Let d = 1/137532 - -275059/687660. Factor -d + 2/5*s**3 - 6/5*s**2 + 6/5*s.
2*(s - 1)**3/5
Factor -11040*i - 4/3*i**3 - 724/3*i**2 - 10800.
-4*(i + 1)*(i + 90)**2/3
Solve 1/5*b**2 + 88 + 222/5*b = 0.
-220, -2
Let b be (-9)/36 - 42/(-8). Suppose -b*g + 11 = -4. Factor -g*j + 3*j**2 + 3*j**2 - 3*j**2.
3*j*(j - 1)
Factor -22985*d**2 + 234148*d**3 - 234858*d**3 + 157620*d - 5*d**4 - 136330 - 110090.
-5*(d - 3)**2*(d + 74)**2
Find u, given that -2272712/11*u + 4264/11*u**2 + 0 - 2/11*u**3 = 0.
0, 1066
Suppose -6*p + 36 = -60. Suppose f + 2 = -5*m, -2*m - 14*f + p*f + 4 = 0. Let 2/5*b**4 + 2*b**3 - 2/5*b**5 + 0*b + 6/5*b**2 + m = 0. What is b?
-1, 0, 3
Suppose 6*t + 2052 = 33*t. Factor 2162 + 214*g + 202 + 1841 + t*g + 5*g**2.
5*(g + 29)**2
Let n be 32/40*