0 + -12339/4. Find f such that 27/5*f + b*f**2 + 0 = 0.
-9, 0
Let l(h) = -h**3 - 8*h**2 - 14*h - 9. Suppose -p - 18 = 3*b, -b - b - 32 = 4*p. Let s be l(p). Solve -130 - q**2 - s*q**2 + 5 - 50*q - q**2 = 0 for q.
-5
Let b(l) be the first derivative of -l**6/2 - 3*l**5 + 63*l**4/2 + 50*l**3 - 123*l**2/2 - 135*l + 486. What is n in b(n) = 0?
-9, -1, 1, 5
Let h be (-6)/(-5)*((-30)/18)/(-1). What is l in 2/9*l**h - 2/9*l + 0 = 0?
0, 1
Suppose 49/2*u**4 + 141/2*u**2 - 26*u + 91*u**3 + 2 = 0. What is u?
-2, 1/7
Let d = 57 + -43. Solve 3*q**3 - 2*q**3 - 20*q + d*q**3 - 5*q**4 = 0 for q.
-1, 0, 2
Suppose 0 = 2*s - 1 + 3. Let f(a) = -a**2 + a + 1. Let m(r) = 20*r**2 - 95*r - 60. Let i(h) = s*m(h) - 30*f(h). Factor i(b).
5*(b + 6)*(2*b + 1)
Let j(a) = a**3 + 7*a**2 + 3*a + 16. Let m be j(-7). Let v = 8 + m. Factor 0*o + 6/13*o**4 + 0 + 0*o**2 - 10/13*o**5 + 4/13*o**v.
-2*o**3*(o - 1)*(5*o + 2)/13
Find g, given that -5/3*g**3 + 2 + 5/3*g - 5/3*g**2 - 1/3*g**4 = 0.
-3, -2, -1, 1
Factor -1/2*p**3 + 104 + 44*p + 5/2*p**2.
-(p - 13)*(p + 4)**2/2
Let s(g) be the second derivative of g**4/42 + 5*g**3/21 + 6*g**2/7 - 54*g. Factor s(l).
2*(l + 2)*(l + 3)/7
Suppose -2*n = 4568 - 4558, 9 = 2*b - n. Find i, given that -8*i - 2*i**4 + 8/3 - 2/3*i**3 + 22/3*i**b + 2/3*i**5 = 0.
-2, 1, 2
Let t(j) be the third derivative of -j**5/450 - 23*j**4/45 - 2116*j**3/45 + 3*j**2 + 26*j. Factor t(k).
-2*(k + 46)**2/15
Solve -63*l**2 + 152*l**2 - 2*l**3 - 89*l**2 = 0 for l.
0
Let r(p) be the third derivative of 1/2*p**5 + 0 + 20/3*p**3 + 0*p - 1/24*p**6 + 2*p**2 - 5/2*p**4. Let r(y) = 0. Calculate y.
2
Let f(z) be the first derivative of -z**5/2 + 25*z**4/8 - 10*z**3/3 + 503. Solve f(i) = 0 for i.
0, 1, 4
Let g(u) be the third derivative of 1/6*u**4 + 1/45*u**5 + 4/9*u**3 + 0 + 0*u - 2*u**2. Factor g(m).
4*(m + 1)*(m + 2)/3
Find x such that 3 + 165*x**2 + 40*x**3 - 38 - 310*x - 22 - 15*x**4 - 13 - 50 = 0.
-3, -1/3, 2, 4
Determine y so that -1125/4 + 3/8*y**5 + 54*y**3 + 615/4*y**2 + 15/2*y**4 + 525/8*y = 0.
-6, -5, 1
Let u(b) be the second derivative of b**10/6048 + b**9/7560 - 2*b**4/3 - 7*b. Let m(r) be the third derivative of u(r). Find h, given that m(h) = 0.
-2/5, 0
Let l = 11 + -10. Let v = l + -1. Suppose -2*f**3 + 0*f + v*f - 6*f**5 + 4*f**5 - 4*f**4 = 0. Calculate f.
-1, 0
Let u be 9 - 0/(3 + 1). Let h be 1*(-9)/6*-2. Factor u*n**3 - 12*n**3 + 2*n**4 - 3*n**2 + n**4 + h*n**5.
3*n**2*(n - 1)*(n + 1)**2
Let h(i) be the first derivative of 4/9*i**3 + 0*i**4 - 2 + 0*i + 0*i**2 - 4/5*i**5 + 4/9*i**6. Factor h(g).
4*g**2*(g - 1)**2*(2*g + 1)/3
Let b = 6104 - 12207/2. Find m such that 0 - 1/2*m + b*m**3 + 0*m**2 = 0.
-1, 0, 1
Let x(p) be the second derivative of -p**8/5040 - p**7/1080 - p**6/1080 + p**5/360 - p**4/2 - 10*p. Let j(f) be the third derivative of x(f). Factor j(u).
-(u + 1)**2*(4*u - 1)/3
Suppose -m + 8 = -5*m. Let w be (-52)/325*-5*(-1)/m. Solve -2/5*b**2 + 4/5 + w*b = 0 for b.
-1, 2
Let w(j) be the second derivative of -5*j**4/48 - 13*j**3/12 - 5*j**2/8 + 7*j - 7. Factor w(g).
-(g + 5)*(5*g + 1)/4
Let a be 8236/(-35) - (-44)/(-154). Let d = -235 - a. Factor 0*j - 4/5 + d*j**3 + 7/5*j**2.
(j + 1)*(j + 2)*(3*j - 2)/5
Let c(x) be the third derivative of -x**7/1260 + x**5/180 + 10*x**3/3 + 10*x**2. Let w(d) be the first derivative of c(d). Factor w(l).
-2*l*(l - 1)*(l + 1)/3
Let q be (18/(-4))/((-18)/(-24)). Let v = 9 + q. Factor -v*o**3 - 2*o**3 + 0*o + 3 - o**3 + 6*o - 3*o**4.
-3*(o - 1)*(o + 1)**3
Let a(m) be the second derivative of m**9/16632 - m**8/9240 - m**7/4620 + m**6/1980 + 7*m**3/6 - 8*m. Let t(i) be the second derivative of a(i). Factor t(h).
2*h**2*(h - 1)**2*(h + 1)/11
Find y, given that 96*y + 24*y**3 + 48 - 7*y**4 + 33*y**4 - 7*y**4 - 16*y**4 + 72*y**2 = 0.
-2
Let k = 198340/11 - 18030. Factor 2/11*t**5 + 8/11*t**2 + 0 + 0*t + 16/11*t**3 + k*t**4.
2*t**2*(t + 1)*(t + 2)**2/11
Let t = 82 - 80. Suppose -t*r - s = 3, -r + 0*r - s - 3 = 0. Factor 2/3*n - 1/3*n**2 + r.
-n*(n - 2)/3
Let z(b) be the third derivative of -b**8/4032 - b**7/144 + 3*b**5/20 - b**3/2 + 48*b**2. Let i(g) be the third derivative of z(g). Let i(v) = 0. What is v?
-7, 0
Suppose 8/3*i**3 + 2*i - 10*i**2 + 44/3 = 0. Calculate i.
-1, 2, 11/4
Let l(c) = 15*c**4 + 18*c**3. Let m(t) = t**4 + t**3. Let o(d) = l(d) - 18*m(d). Let o(k) = 0. Calculate k.
0
Suppose 27*d - 18*d - 45 = 0. Let b(i) be the third derivative of 0*i**d + 0*i + 0*i**3 - 1/48*i**4 + 0 + 10*i**2 + 1/960*i**6. Factor b(z).
z*(z - 2)*(z + 2)/8
Let w = 3 + -1. Let y = 125 - 122. Factor 9 - y*m**2 - 3 - 3*m + 0*m**w.
-3*(m - 1)*(m + 2)
Let c be 10 + -9 + (-442)/(-2). Let x = -222 + c. What is t in 5/3*t**5 + 0*t - 2/3*t**2 + 1/3*t**3 + x + 8/3*t**4 = 0?
-1, 0, 2/5
Let y(b) be the third derivative of -b**5/165 + 13*b**4/132 + 8*b**3/11 + b**2 + 21*b. Find s, given that y(s) = 0.
-3/2, 8
Factor 0 - 8/7*u**2 - 6/7*u**4 + 0*u - 16/7*u**3.
-2*u**2*(u + 2)*(3*u + 2)/7
Let g(b) be the second derivative of 0*b**2 + 0 + 2*b - 2/3*b**4 - 1/10*b**5 - b**3. Solve g(s) = 0 for s.
-3, -1, 0
Let n(v) be the second derivative of 5/7*v**3 - 9/28*v**4 + 23*v - 3/14*v**2 + 0. Suppose n(c) = 0. What is c?
1/9, 1
Let m(v) be the first derivative of v**5/60 + 7*v**4/12 + 49*v**3/6 + 11*v**2 - 1. Let d(t) be the second derivative of m(t). Factor d(z).
(z + 7)**2
Factor 38*s - 5*s**3 + 4*s - 301*s**2 - 180 + 111*s**2 - 275*s - 132*s.
-5*(s + 1)**2*(s + 36)
Let r(t) = 3243*t**2 + 2 - 3240*t**2 + 8*t - 3*t**3 - 2*t**3. Let c(d) = d**3 - d - 1. Let p(q) = -2*c(q) - r(q). Factor p(w).
3*w*(w - 2)*(w + 1)
Let h(f) be the second derivative of -f**6/30 - 9*f**5/20 - 11*f**4/6 + 16*f**2 - 104*f - 1. Factor h(m).
-(m - 1)*(m + 2)*(m + 4)**2
Factor -6*f + 2/5*f**2 - 32/5.
2*(f - 16)*(f + 1)/5
Solve -52/23 - 2/23*x**2 - 30/23*x = 0 for x.
-13, -2
Let r be 220/176*(-12)/(-5). Let j(d) be the second derivative of 1/75*d**6 + 1/15*d**3 + r*d + 2/5*d**2 - 1/50*d**5 - 1/10*d**4 + 0. Find l such that j(l) = 0.
-1, 1, 2
Let v be 6615/(-525)*2/(-6). Factor v*u + 6/5*u**2 - 21/5*u**3 - 6/5.
-3*(u - 1)*(u + 1)*(7*u - 2)/5
Let f(i) be the third derivative of 5*i**6/24 + 7*i**5/12 + 5*i**4/12 + 382*i**2. Factor f(z).
5*z*(z + 1)*(5*z + 2)
Suppose -2*r**3 + 2835*r**2 - r + r + 0*r - 2829*r**2 = 0. Calculate r.
0, 3
Let n = -102/4531 - -9576455/5342049. Let o = n - -1/131. Factor -32/9 - 2/9*h**2 + o*h.
-2*(h - 4)**2/9
Let r(a) be the first derivative of 5*a**3 + 55*a**2 - 80*a - 494. Solve r(c) = 0.
-8, 2/3
Let m be (-74)/814 - (-122)/1100. Let l(r) be the third derivative of 0 + m*r**5 + 0*r - 1/5*r**3 + 1/300*r**6 + 5*r**2 - 1/60*r**4. Let l(x) = 0. Calculate x.
-3, -1, 1
Let p(k) be the first derivative of k**3/6 - 7*k**2/4 - 4*k - 87. What is t in p(t) = 0?
-1, 8
Let b(g) be the first derivative of -37 - 1/4*g**4 + 1/2*g + 1/12*g**6 + 1/4*g**2 + 1/10*g**5 - 1/3*g**3. Factor b(f).
(f - 1)**2*(f + 1)**3/2
Let z be ((-4)/25)/(5/(-50)). Let v = z + -11/10. Factor -v*q**5 + 3/2*q**4 - q**3 - q**2 - 1/2 + 3/2*q.
-(q - 1)**4*(q + 1)/2
Let q(v) be the first derivative of -3*v**5/40 - 39*v**4/32 + 7*v**3/4 + 32. Factor q(w).
-3*w**2*(w - 1)*(w + 14)/8
Solve -2/3*u**2 - 2*u - 4/3 = 0 for u.
-2, -1
Let q be (-15)/(-10)*(-6)/1773. Let b = q + 405/2167. Factor 4/11*u**4 + 2/11*u**5 + 0*u**3 + 0 - 4/11*u**2 - b*u.
2*u*(u - 1)*(u + 1)**3/11
Let g = 643 + -640. Let x(v) be the first derivative of 2/33*v**g + 32/11*v + 8/11*v**2 + 6. Suppose x(z) = 0. Calculate z.
-4
Let b(w) be the second derivative of -w**7/378 - w**6/90 - w**5/90 + w**4/54 + w**3/18 + w**2/18 + 3*w + 16. Determine l so that b(l) = 0.
-1, 1
Let 9/4*g**3 - 2*g**4 + 0 + 1/2*g**2 + 0*g - 15/4*g**5 = 0. What is g?
-1, -1/5, 0, 2/3
Suppose -3*o + 5*g + 7 = 0, -9*g + 5*g - 8 = -3*o. Factor 12*n - 10*n - 8*n**3 + 10*n**3 + o*n**2.
2*n*(n + 1)**2
Factor 5*o**2 - 5*o**2 + 758*o**5 + 10*o**4 - 763*o**5 - 5*o**3.
-5*o**3*(o - 1)**2
Let m(s) = -s**2 - 5*s + 38. Let w be m(-9). Let 18*b**3 - 4*b - 353*b**2 + 343*b**w + 3*b**4 - 14*b**5 + 7*b**4 = 0. What is b?
-1, -2/7, 0, 1
Factor 0 + s**2 + 0*s + 3/4*s**3.
s**2*(3*s + 4)/4
Let m = 22 + -22. Suppose 5*l + 6 - 16 = m. Suppose 5*r**2 + l*r - 370 - 2*r**3 + 366 - r**2 = 0. What is r?
-1, 1, 2
Suppose 0 = 11*x - 4*x - 21. Suppose -2*t - 3*b + 5 = -x*t, -2*b + 2 = -t. Determine