 = -111*u + 38367. Let g = -9237/7 - u. Suppose 0 - 18/7*p - 8/7*p**4 - 2/7*p**5 + 4/7*p**3 + g*p**2 = 0. Calculate p.
-3, 0, 1
Let i(m) = 12*m**3 + 248*m**2 + 1468*m - 1630. Let n(p) = -8*p**3 - 166*p**2 - 978*p + 1089. Let h(g) = -9*i(g) - 14*n(g). Determine r, given that h(r) = 0.
-12, 1
Let b be 12/((-130)/50 + (-396)/(-60)). What is q in -108*q - 12*q**2 - 4/9*q**b - 324 = 0?
-9
Let s(h) = h**2 + 8*h - 4. Let p(c) = 20*c**2 + 60*c + 200. Let f(y) = p(y) - 16*s(y). Find x such that f(x) = 0.
6, 11
Let 952/3 - 2/9*h**2 - 1424/9*h = 0. What is h?
-714, 2
Let d = -522862 + 134898785/258. Let m = d + -1/129. Let 0 - m*j**2 + 0*j - 3*j**3 - 3/2*j**4 = 0. What is j?
-1, 0
Suppose 3*a + 6 - 2 = 5*t, 2*a = 5*t - 6. Let f = 243/17 + -1147/85. Factor 2/5*s**a + 0 - f*s.
2*s*(s - 2)/5
Let n be (-1998)/(-2072) - (-3)/(-14). Suppose 0 = -2*c + 5*y + 25, 0*y + 2*y + 6 = 0. Factor -1/2*o**2 - 1/2*o**4 + 1/8*o**c + 1/8*o + 0 + n*o**3.
o*(o - 1)**4/8
Suppose 678*l - 16224 = 171*l. Factor -384 - 2/3*v**2 - l*v.
-2*(v + 24)**2/3
Let u = -5 + 29. Suppose 5*p - 5*a - 60 = 0, 3*p + a = p + u. Suppose p*r + 4*r**3 + 3 - 5 - 16*r**2 + 2 = 0. Calculate r.
0, 1, 3
Find v, given that -14 - 207*v**2 - 14*v**3 + 129*v + 11 - 70*v**3 - 15 = 0.
-3, 1/4, 2/7
Let f(t) be the second derivative of -3*t**5/100 - t**4/2 - 17*t**3/10 - 12*t**2/5 - 120*t. Suppose f(z) = 0. Calculate z.
-8, -1
Let w = 65 + -20. Suppose -w = -4*a + 51. Factor -13*q**4 - 4*q + q**4 - 26*q**3 + 0*q**5 - 4*q - 2*q**5 - a*q**2.
-2*q*(q + 1)**2*(q + 2)**2
Let z = 15968 + -15965. Let u(j) be the second derivative of 0 - 4/3*j**4 + 7*j**z - 18*j**2 - 4*j + 1/10*j**5. Factor u(k).
2*(k - 3)**2*(k - 2)
Factor -15518919*m**3 - 4*m**4 + 15518831*m**3 + 0*m**4 - 480*m**2.
-4*m**2*(m + 10)*(m + 12)
Let l(j) be the second derivative of -400/13*j**3 - 1/130*j**5 - 8000/13*j**2 + 25 - 10/13*j**4 + j. Solve l(u) = 0 for u.
-20
Let y(u) be the second derivative of u**5/2 - 3*u**4/2 - u**3 + 9*u**2 + 61*u - 2. Let q(h) = 2*h**3 - h. Let w(k) = -4*q(k) + y(k). Factor w(x).
2*(x - 9)*(x - 1)*(x + 1)
Let m(t) be the first derivative of t**5/40 - 5*t**4/16 + t**3/2 + 29*t**2/8 + 35*t/8 - 12797. Find r such that m(r) = 0.
-1, 5, 7
Let t = -4632/5 - -111173/120. Let i(l) be the third derivative of 25*l**2 + t*l**6 + 0 + 5/8*l**4 + 0*l - 5/6*l**3 - 1/4*l**5. Factor i(k).
5*(k - 1)**3
Solve -25/8*c**5 - 1969973*c**3 - 240494426*c - 17185/4*c**4 - 48035956 - 301798642*c**2 = 0.
-458, -2/5
Solve -23*c**2 + 6623*c**3 - 13242*c**3 - 49*c**2 + 6616*c**3 = 0 for c.
-24, 0
Find c, given that -325395*c**4 - 875*c - 325391*c**4 + 1035*c**2 - 165*c**3 + 650791*c**4 = 0.
0, 1, 7, 25
Suppose -5*f = -29 + 19. Let q be (1 - f) + -1 - -9. Factor -q*u + 2*u**2 - 4*u**2 + 9*u + 2*u.
-2*u*(u - 2)
Let t = -734 - -5118/7. Let d = t - -184/35. Suppose -2/5*y**5 + 0 + d*y - 2*y**3 - 14/5*y**4 + 14/5*y**2 = 0. What is y?
-6, -1, 0, 1
Suppose -3961 + 7917 - 4011 = -11*u. Determine p, given that 2*p**2 - 3/2*p**4 + 0*p + 0 + 0*p**3 + 1/2*p**u = 0.
-1, 0, 2
Determine j so that -84*j**2 - 250*j + 113*j**5 + 319*j**3 + 84*j**4 - 70*j - 235*j**5 + 123*j**5 = 0.
-80, -4, -1, 0, 1
Let i(d) = 29*d - 260. Let w be i(9). Let u(r) = 3*r**3 - 15*r - 8. Let s(m) = -m**3 + 1. Let k = -8 - -6. Let g(y) = k*s(y) + w*u(y). Factor g(l).
5*(l - 2)*(l + 1)**2
Let a be ((-2054)/2058 + 1)*748980/(-3600). Let h = -3/686 - a. Find b, given that 0*b - h*b**2 + 2/5 = 0.
-1, 1
Let m = -47 + 52. Suppose 5*l + 20 = -2*c + 120, m*l = 3*c + 75. What is z in 20*z**2 + l*z**2 - 245 - 43*z**2 - 70*z = 0?
-7
Let y be 387/(-24)*2 - (-12)/(-16). Let u = 69 + y. Factor 32*j**3 + 8*j - 2*j**2 - 24*j - u*j**3 + 22*j**2.
-4*j*(j - 4)*(j - 1)
Suppose 12*n - 10*n - 8 = 0. Let r be -1 + 0 + 12 + -3 + n. Solve -166*o**2 + r*o + 161*o**2 + 3*o = 0.
0, 3
Let f be 924/(-58212) + 2/18. Factor f*z**5 + 0*z**3 - 2/21*z + 4/21*z**4 + 0 - 4/21*z**2.
2*z*(z - 1)*(z + 1)**3/21
Let q(l) be the first derivative of 12*l**2 - 7/3*l**3 - 53 - 6*l**4 - 9*l + 16/5*l**5. Solve q(v) = 0.
-1, 3/4, 1
Suppose 0 = 13*b - 2*b - 0*b. Let p(u) be the first derivative of 5/2*u**2 + 16 + 0*u**5 + 5/6*u**6 - 5/2*u**4 + 0*u + b*u**3. Factor p(y).
5*y*(y - 1)**2*(y + 1)**2
Let g(a) be the third derivative of a**8/2016 - a**7/252 + a**6/80 - 7*a**5/360 + a**4/72 - 271*a**2 + 3*a. Suppose g(c) = 0. What is c?
0, 1, 2
Let k(g) be the first derivative of -55*g**4/12 - 200*g**3/9 - 215*g**2/6 - 70*g/3 - 2296. Determine u so that k(u) = 0.
-2, -1, -7/11
Let c(h) = -h**3 + 6*h**2 + 6*h - 12. Let u(m) = 29 - 7*m + 30 - 5*m**2 - 2*m**2 - 84 + 35 + m**3. Let f(o) = -3*c(o) - 2*u(o). Determine n so that f(n) = 0.
-2, 2, 4
Let w(u) be the first derivative of 0*u**3 + 54 + 2/5*u**5 + 32*u**2 + 0*u - 3*u**4. Find n such that w(n) = 0.
-2, 0, 4
Let v be 21/308 + 564/3102. Factor -v*b + 1/4*b**2 + 0.
b*(b - 1)/4
Let s(r) = -8*r**2 + 71*r + 160. Let h be 8/4*21*3/18. Let j(c) = 4*c**2 - 35*c - 80. Let u(k) = h*j(k) + 3*s(k). Solve u(v) = 0 for v.
-2, 10
Let m be 5*(-12)/90 - (-33)/9. Find c such that -34*c**3 + 4*c**2 - 29*c**3 + 2 + 5*c + 64*c**m = 0.
-2, -1
Determine k so that -41*k**2 - 3344 + 45*k**2 + 776*k - 712*k = 0.
-38, 22
Let h be -1 + ((-168)/(-96) - (-3)/((-1188)/(-1903))). Factor 22/9*k**2 - 2/9*k**3 - 70/9*k + h.
-2*(k - 5)**2*(k - 1)/9
Let s be ((-24)/(-10))/(-2)*21/(-84). Let l(k) be the first derivative of -3/4*k**4 - s*k**5 + 11 + 0*k**3 + 0*k**2 + 0*k. Let l(d) = 0. Calculate d.
-2, 0
Let t(j) be the second derivative of -1/70*j**5 + 1/147*j**7 + 0 + 0*j**3 + 0*j**6 + 0*j**2 - 73*j + 0*j**4. Determine u so that t(u) = 0.
-1, 0, 1
Let h(p) be the first derivative of 6*p**2 + 3/5*p**5 - 7*p**3 + 3/2*p**4 + 41 + 0*p. Factor h(f).
3*f*(f - 1)**2*(f + 4)
Let z be ((-8)/44 - 0) + 91*(-35)/(-1001). Factor -2/9*y + 2/9 + 4/9*y**z - 4/9*y**2 + 2/9*y**4 - 2/9*y**5.
-2*(y - 1)**3*(y + 1)**2/9
Let g = 850 - 818. Suppose 30*i + 8 = g*i. Factor 2/13*u**i - 8/13*u + 4/13*u**3 - 6/13*u**2 + 8/13.
2*(u - 1)**2*(u + 2)**2/13
Let v(r) be the third derivative of r**5/390 - 173*r**4/26 + 89787*r**3/13 + 1346*r**2. Factor v(o).
2*(o - 519)**2/13
Let v(g) be the second derivative of -g**5/5 - 7*g**4 - 1106*g. Solve v(m) = 0.
-21, 0
Let f(j) be the first derivative of 12/25*j**5 + 2/5*j**3 - 61 + 3/4*j**4 + 1/10*j**6 + 0*j + 0*j**2. Factor f(i).
3*i**2*(i + 1)**2*(i + 2)/5
Let v(t) be the second derivative of -2*t**6/15 + 7*t**5/5 - 13*t**4/3 - 2*t**3 + 36*t**2 - 712*t + 9. Let v(f) = 0. What is f?
-1, 2, 3
Let o(t) be the third derivative of 5*t**8/336 + 277*t**7/210 + 367*t**6/120 - 601*t**5/60 - 31*t**4/2 + 54*t**3 + t**2 - 10*t + 33. Solve o(a) = 0.
-54, -2, -1, 3/5, 1
What is v in -12*v**2 - 170*v + 175*v**3 - 54322*v**4 - 63*v**2 + 54397*v**4 - 5*v**5 = 0?
-2, -1, 0, 1, 17
Let g be 2285/455 + 712/(-32396). Solve -43*u**3 - g*u - 71/3*u**2 - 24*u**4 - 1/3 = 0 for u.
-1, -1/3, -1/8
Let o = 3793 + -3791. Let n(r) be the first derivative of 1/5*r**o + 4/5*r + 15 - 2/15*r**3. Factor n(q).
-2*(q - 2)*(q + 1)/5
Suppose 116*n = 115*n + 8. Solve -l**2 + 8*l**2 + 42*l - 3*l**2 - n*l**2 + l**2 = 0 for l.
0, 14
Let j(o) be the first derivative of -o**3/6 + 41*o**2/4 - 39*o - 4614. Factor j(a).
-(a - 39)*(a - 2)/2
Let m(h) be the second derivative of -3/4*h**5 - 5/3*h**3 + 1/6*h**6 - 2 + 0*h**2 + 5/42*h**7 - 76*h - 25/12*h**4. Let m(f) = 0. What is f?
-1, 0, 2
Suppose -2*v + 41 = -15. Suppose -5*o + v = 8. What is z in -20*z**3 + 32*z + 2 + 3*z**5 - 4*z**o + 4*z**2 + 16 - 2 + z**5 = 0?
-1, 2
Suppose 71*t = 159 + 54. Let c(r) be the second derivative of -2*r + 0 + 2*r**2 - 2*r**t - 3/4*r**4 + 7/20*r**5. Let c(d) = 0. Calculate d.
-1, 2/7, 2
Let k(t) be the second derivative of 17*t**5/80 - 71*t**4/4 + 25*t**3/6 + 7013*t. Find d such that k(d) = 0.
0, 2/17, 50
Let v(r) be the second derivative of r**7/399 - 106*r**6/285 + 1454*r**5/95 - 2492*r**4/57 - 11648*r**3/57 + 21632*r**2/19 + 12872*r. Solve v(x) = 0 for x.
-2, 2, 52
Determine a, given that 14/3*a**4 + 0 + 15776/3*a**2 + 946/3*a**3 - 2312*a = 0.
-34, 0, 3/7
Let x(o) be the second derivative of -o**5/70 - 335*o**4/42 - 8949*o**3/7 + 29241*o**2 + 10363*o. Factor x(a).
-2*(a - 7)*(a + 171)**2/7
Let p(y) be the third derivative of -y**5/60 + 23*y**4/24 + 53*y**3/6 - 22*y**2. Let i(u) = -3*u**2