/3 + 7*k**2 - 9. Factor b(u).
4*(u - 11)*(u - 1)**2
Let f(s) be the second derivative of s**6/40 + 15*s**5/16 - s**4/16 - 25*s**3/8 - s - 122. What is t in f(t) = 0?
-25, -1, 0, 1
Let l(t) = 2*t**4 - t**3 + t - 2. Let o(n) = 4*n**5 - 4*n**4 - 4*n**2 - 4*n + 8. Let j(u) = -4*l(u) - o(u). Find y, given that j(y) = 0.
-1, 0, 1
Factor -2/13*k**2 + 10/13*k + 12/13.
-2*(k - 6)*(k + 1)/13
Factor 8/7*t**3 - 9/7*t + 1/7*t**5 - 10/7*t**4 + 10/7*t**2 + 0.
t*(t - 9)*(t - 1)**2*(t + 1)/7
Let k = 1360 - 1358. Let u(l) be the first derivative of -2/3*l**3 - 2/3*l**2 - 1/6*l**4 - k + 0*l. Factor u(t).
-2*t*(t + 1)*(t + 2)/3
Let a(d) = d + 19. Let j be a(-11). Suppose -b - j = -2*b. Solve 5*c**4 + 4*c**5 + c**2 - b*c**3 + 4*c**5 - 7*c**4 + c**2 = 0.
-1, 0, 1/4, 1
Let f(u) = -51*u + 4. Let a be f(0). Find j, given that 2/3*j**3 - 10/3*j - 2*j**2 - 4/3 + 2/3*j**a = 0.
-1, 2
Factor -1695*u**2 + 63*u - 496*u**3 + 5*u**4 - 429*u**2 - 33*u**4 + 585*u.
-4*u*(u + 9)**2*(7*u - 2)
Let b be 5/(15/(-84)) + -4. Let g be b/12*(-3)/2. Let 4*l**2 - 4*l**2 + 6*l**2 + l - g*l = 0. What is l?
0, 1/2
Let j = 5 - 2. Let -3 + 5 - 2*q - j*q**2 - 3*q = 0. Calculate q.
-2, 1/3
Let o(a) be the third derivative of 0*a**5 + 0 - a**2 + 1/1470*a**7 + 0*a + 0*a**4 - 1/420*a**6 + 0*a**3. Suppose o(k) = 0. What is k?
0, 2
Let q(t) be the first derivative of -t**6/15 + 54*t**5/25 - 43*t**4/2 + 54*t**3 + 216*t**2/5 - 864*t/5 + 84. Find r such that q(r) = 0.
-1, 1, 3, 12
Let b(s) be the third derivative of -s**8/672 - s**7/24 - 79*s**6/480 - 61*s**5/240 - 5*s**4/32 - s**2 - 8*s. Let b(j) = 0. What is j?
-15, -1, -1/2, 0
Let w(t) be the third derivative of t**5/450 - t**4/90 - t**3/15 + 101*t**2 - t. Factor w(f).
2*(f - 3)*(f + 1)/15
Let k(c) be the second derivative of -5*c**7/42 + 5*c**6/6 - 2*c**5 + 5*c**4/3 + 163*c. Factor k(g).
-5*g**2*(g - 2)**2*(g - 1)
Factor 191*g**3 + 12*g**2 - 9*g**4 - 194*g**3 + 0*g**4 + 6*g**4 + 12*g.
-3*g*(g - 2)*(g + 1)*(g + 2)
Determine q so that 0 - 92/9*q**3 - 8/3*q**4 - 40/3*q**2 - 50/9*q - 2/9*q**5 = 0.
-5, -1, 0
Let s = -12221/63 - -194. Let r(d) be the second derivative of 0 + 0*d**6 + 1/15*d**5 - s*d**7 - 1/9*d**3 + 0*d**4 - 2*d + 0*d**2. What is z in r(z) = 0?
-1, 0, 1
Let u(k) be the first derivative of k**3/3 + 4*k**2/5 - 4*k/5 - 113. Factor u(a).
(a + 2)*(5*a - 2)/5
Let m = 5727/136 + -1419/34. Let -m*t + 3/8*t**2 - 3/4 = 0. Calculate t.
-1, 2
Let z = -50/67 - -5317/7035. Let c(w) be the second derivative of z*w**6 + 0*w**2 + 0 + 1/21*w**4 + 3/70*w**5 - w + 0*w**3. Factor c(o).
2*o**2*(o + 1)*(o + 2)/7
Let z(j) = j**3 + j + 1. Let v(p) = 3*p**3 - 11*p**2 - 31*p - 21. Suppose -2*h + 6*h - 16 = 0, -5*h = 5*d. Let y(s) = d*z(s) + v(s). Factor y(w).
-(w + 1)*(w + 5)**2
Let j = -33877/5 + 6749. Let t = 27 + j. Factor -3/5*d**4 - t*d - 9/5*d**2 - 9/5*d**3 + 0.
-3*d*(d + 1)**3/5
Let y(d) be the first derivative of -d**3 + 18*d**2 - 33*d - 676. Determine x so that y(x) = 0.
1, 11
Let c(i) be the first derivative of -3*i**4 + 508*i**3/3 + 172*i**2 + 123. Factor c(p).
-4*p*(p - 43)*(3*p + 2)
Suppose 0 = 26*c - 53 - 51. Determine i, given that -12*i**c - 11/4*i + 14*i**3 + 5/4*i**2 - 1/2 = 0.
-1/4, 2/3, 1
Suppose 292*c - 6*c**4 - 292*c + 3*c**5 + 3*c**3 = 0. Calculate c.
0, 1
Let z(j) be the first derivative of -j**5/5 - j**4 + 8*j**2 + 16*j - 79. Factor z(h).
-(h - 2)*(h + 2)**3
Let u(q) = -q**3 - 15*q**2 + 17*q + 36. Let i(g) be the first derivative of g**4/2 + 22*g**3/3 - 13*g**2 - 54*g + 25. Let r(x) = -5*i(x) - 8*u(x). Factor r(o).
-2*(o - 3)**2*(o + 1)
Let s be ((25/(-3))/5)/((-4)/108). Suppose -52*v = -s*v - 42. Factor 16*p + 2/3*p**3 - 32/3 - v*p**2.
2*(p - 4)**2*(p - 1)/3
Suppose g - 9 = -2*g. Let l be 6*3/g + 2. Factor -l*s - s**2 + 18*s - 9 - 4*s.
-(s - 3)**2
Let s(z) be the first derivative of -z**3 + 0*z - 3/2*z**2 + 3/5*z**5 + 7 + 3/4*z**4. Factor s(h).
3*h*(h - 1)*(h + 1)**2
Solve 3*s - 2*s**2 - 18*s - 2*s + 7*s = 0 for s.
-5, 0
Let y(k) = 13*k + 1. Let x be y(-1). Let c = x + 26. Factor -p**2 - 1 - 14*p + c*p + 2.
-(p - 1)*(p + 1)
Let a(h) = 2*h**3 - h**2 + 2*h - 1. Let f(v) = -7*v**3 - 13*v**2 - 10*v + 5. Let m(p) = -5*a(p) - f(p). Factor m(g).
-3*g**2*(g - 6)
Let r = -712/29 - -2165/87. Factor 0 + 0*v - 16/3*v**3 - 8/3*v**4 + 0*v**2 - r*v**5.
-v**3*(v + 4)**2/3
Let h = -85 - -89. Let y be h - ((-42)/16)/((-75)/100). Solve 1/2*k**2 - 1/2*k**4 - 1/2*k**3 + y*k + 0 = 0 for k.
-1, 0, 1
Let o(v) be the second derivative of -v**4/3 + 56*v**3/3 - 392*v**2 + 4*v + 18. Suppose o(c) = 0. What is c?
14
Let u be (325/(-78) - -4)*(-2 - 28/4). Suppose -1/4*k**3 + u*k**2 + 1 - 9/4*k = 0. What is k?
1, 4
Let z(q) be the third derivative of -q**7/735 + q**6/60 + 9*q**5/70 + 29*q**4/84 + 10*q**3/21 + 87*q**2. Find r, given that z(r) = 0.
-1, 10
Find t such that 1152/7*t**2 - 10*t**3 + 2592/7*t + 1/7*t**4 + 0 = 0.
-2, 0, 36
Let h(l) be the second derivative of 0*l**3 + 0*l**2 + 0 - 1/6*l**4 - 20*l + 1/10*l**5 - 1/21*l**7 + 1/15*l**6. Solve h(t) = 0.
-1, 0, 1
Let u = -1801 - -416032/231. Let m(x) be the second derivative of -x + 0 + 0*x**2 - 1/55*x**5 + 4/165*x**6 + u*x**7 + 3/11*x**3 - 2/11*x**4. Factor m(w).
2*w*(w - 1)**2*(w + 3)**2/11
Let x(h) be the first derivative of -h**5 - 30*h**4 - 90*h**3 + 2700*h**2 - 10125*h + 44. Suppose x(k) = 0. What is k?
-15, 3
Suppose 4/3*x**2 + 2/3*x - 2/3*x**3 - 4/3 = 0. Calculate x.
-1, 1, 2
Let q(p) be the second derivative of -25*p**4/12 + 15*p**3 - 81*p**2/2 - 83*p. Suppose q(z) = 0. What is z?
9/5
Let f be 2/6*(280/64 - 4). Let a be (-40)/(-48)*6/20. Factor f*d**2 + 0*d + 1/8*d**4 + a*d**3 + 0.
d**2*(d + 1)**2/8
Let m(h) be the first derivative of -5*h**4/16 - 3*h**3/4 + h**2/4 - 29. Factor m(l).
-l*(l + 2)*(5*l - 1)/4
Let h be ((-9)/3)/(15/190). Let t = 73 + h. Factor -5*y**5 - 10 - 15*y + 4*y**2 + 55*y**3 - t*y**3 + 6*y**2.
-5*(y - 2)*(y - 1)*(y + 1)**3
Suppose -59*j = -53*j. Let a(i) be the third derivative of j*i**5 - 1/160*i**6 + 0*i**3 + 0*i + 0 + 1/32*i**4 + 7*i**2. Factor a(y).
-3*y*(y - 1)*(y + 1)/4
Factor -24*t**3 + 6 - 26 - 9*t**2 + 24*t + 7*t**3 + 18*t**3.
(t - 5)*(t - 2)**2
Suppose 0 + 2/11*p**2 - 252/11*p = 0. Calculate p.
0, 126
Let 15/2*m + 0 + 5/2*m**2 = 0. Calculate m.
-3, 0
Let p = -124 + 127. Let w(d) be the first derivative of 0*d**p + 0*d + 1/20*d**4 - 1/10*d**2 - 3. Let w(u) = 0. Calculate u.
-1, 0, 1
Let x be -14*4/(-6)*3/4. Let t(a) = 4*a - 28. Let r be t(x). Suppose 3/4*z**4 - 9/4*z**2 - 3/2*z + r*z**3 + 0 = 0. Calculate z.
-1, 0, 2
Let y = 6238 - 12473/2. Solve -24 - 99/2*b**2 + 60*b - y*b**4 + 15*b**3 = 0.
1, 4
Let u(b) be the second derivative of -b**5/80 - b**4/12 + b**3/24 + b**2/2 + 545*b. Solve u(f) = 0 for f.
-4, -1, 1
Factor 4*i**4 - 8*i**3 + 28*i**2 + 38*i**3 + 29*i**3 + 20*i**3 - 21*i**3.
2*i**2*(i + 14)*(2*i + 1)
Let r(x) be the third derivative of -x**8/840 - 4*x**7/175 - 9*x**6/100 - 2*x**2 - 1. Factor r(j).
-2*j**3*(j + 3)*(j + 9)/5
Let s(p) = 4*p - 60. Let a be s(16). Find h, given that -6*h**3 - a*h - 14*h**2 - 1201 + 1201 = 0.
-2, -1/3, 0
Let j(u) be the third derivative of 0*u**4 - 1/9*u**3 + 0*u + 1/90*u**5 + 0 - 13*u**2. Factor j(s).
2*(s - 1)*(s + 1)/3
Let i = 30487/35 - 871. Let g(n) be the first derivative of -26/21*n**3 - i*n**5 - 3/7*n**4 - 12/7*n**2 - 2 - 8/7*n. Find y, given that g(y) = 0.
-2, -1
Let -13*v**2 + 93*v + 92*v**2 + 8 - 31*v**2 - 27*v**3 + 10 = 0. Calculate v.
-1, -2/9, 3
What is b in 54/11 + 20/11*b**3 + 2/11*b**4 - 84/11*b + 8/11*b**2 = 0?
-9, -3, 1
Let 9/4*i**2 + 3/4*i**3 - 3/4*i - 3/2 - 3/4*i**4 = 0. Calculate i.
-1, 1, 2
Let g(r) be the first derivative of r**6/90 - r**5/60 - r**4/36 + r**3/18 + 4*r - 5. Let u(s) be the first derivative of g(s). Factor u(j).
j*(j - 1)**2*(j + 1)/3
Let p(s) be the second derivative of 2*s**5 - 5*s**4/4 - 80*s**3/3 + 30*s**2 - 313*s. Factor p(m).
5*(m - 2)*(m + 2)*(8*m - 3)
Let h(r) be the third derivative of -r**5/165 - 103*r**4/132 + 52*r**3/33 + 307*r**2. Find m, given that h(m) = 0.
-52, 1/2
Let y(i) be the third derivative of 0 - 1/480*i**6 + 0*i - 1/12*i**4 + 2/3*i**3 - 8*i**2 - 7/240*i**5. Determine u, given that y(u) = 0.
-4, 1
Let w(z) be the second derivative of 2*z**5/15 + z**4/2 + 2*z**3/9 + 151*z. Factor w(o).
2*o*(o + 2)*(4*o + 1)/3
Let p(o) be the third derivative of -o**6/840 + o**5/20 - 19*o**4/84 + 13