 - 39/2*s**3 + 33/2*s**2 - 9 - 15/2*s**4 = 0 for s.
-3, -1, 2/5, 1
Let f(j) be the first derivative of 3*j**4/28 + 9*j**3/7 + 45*j**2/14 + 3*j - 71. Factor f(o).
3*(o + 1)**2*(o + 7)/7
Let r(u) be the first derivative of -2*u**6 + 32*u**5 - 151*u**4 + 328*u**3/3 + 408*u**2 - 288*u - 208. Let r(t) = 0. Calculate t.
-1, 1/3, 2, 6
What is r in 664*r**2 + 159*r**3 + 65*r - 45*r**4 + 3*r**5 + 120 - 227*r - 739*r**2 + 0*r**4 = 0?
-1, 1, 4, 10
What is u in 314/9*u**3 + 2/9*u**5 + 64/3 + 584/9*u + 72*u**2 + 20/3*u**4 = 0?
-24, -2, -1
Let f(q) be the third derivative of -7*q**5/40 - 5*q**4/48 + q**3/3 + 29*q**2. What is i in f(i) = 0?
-4/7, 1/3
Let n be (2/14)/(15 + 232/(-16)). Factor -n*h**5 + 4/7*h**2 - 4/7*h**4 + 2/7*h + 0*h**3 + 0.
-2*h*(h - 1)*(h + 1)**3/7
Suppose 0 = 498*l - 463*l - 140. Suppose 2/5*b**3 - 2/5*b**2 - 2/5*b**5 + 0 + 2/5*b**l + 0*b = 0. What is b?
-1, 0, 1
Suppose -15*k - 27 + 29*k**3 - 40*k - 65*k**2 + 87 + 26*k**3 + 5*k**4 = 0. Calculate k.
-12, -1, 1
Suppose 5*p + 4*q - 19 = 2*q, -3*q = 9. Suppose -i = 5*x - 19, 0 = p*i + 2*x - 0*x - 26. Factor 0 + 3/2*j**2 + 25/4*j**3 + 0*j + 7/2*j**i.
j**2*(2*j + 3)*(7*j + 2)/4
Let l = -795 + 3183/4. Factor 5/2*h**4 - l*h**5 + 5/4*h - 5/2*h**3 + 0*h**2 - 1/2.
-(h - 1)**4*(3*h + 2)/4
Let f = 26 + -22. Solve 6*x**3 - 42*x**2 + 363*x - f*x**3 - 663 - 23 - 69*x = 0 for x.
7
Let o be 2*3/(-3) - (-10 + 0). Factor 780*i**2 - 6446*i**3 - 413*i**3 + 1815*i**2 - 228*i - 429*i**2 + o.
-(19*i - 2)**3
Suppose 18 = 18*o - 72. Let p(w) be the third derivative of 0*w**4 + 0*w + 0*w**3 + 1/90*w**5 - o*w**2 + 0. Let p(z) = 0. What is z?
0
Let o(n) be the first derivative of n**4/4 - 3*n**3 + 12*n**2 - 16*n - 21. Solve o(w) = 0.
1, 4
Suppose -4*i + l + 12 = 0, 4*i - 4*l = i + 9. Suppose a = -i*x + 12 + 4, 4*x = 5*a + 34. Let -8*c**3 + 3*c**3 - c**3 + 3*c**3 + x*c - 3*c**2 = 0. Calculate c.
-2, 0, 1
Let v = 18 + -18. Let k be 2/(-8)*v + 3. Factor -4*n**4 - 3*n**5 - 3*n**5 - 2*n**5 + 6*n**5 - 2*n**k.
-2*n**3*(n + 1)**2
Let i(l) = -l**3 + 5*l**2 + 7. Let r be i(5). Factor r - 3 + 4*p**2 - 2*p**2 - 6*p.
2*(p - 2)*(p - 1)
Suppose 26*x - 612 = -612. Find v such that 0*v**2 - 2/7*v**4 + x*v + 2/7*v**3 + 0 = 0.
0, 1
Solve 8/7*x**3 + 0*x + 0 - 2/7*x**2 - 10/7*x**4 + 4/7*x**5 = 0 for x.
0, 1/2, 1
Let q(m) be the first derivative of m**6/15 + 2*m**5/5 - 3*m**4/5 - 64*m**3/15 + 32*m**2/5 - 19. Find u, given that q(u) = 0.
-4, 0, 1, 2
Let y be 4/(-180)*4/(-96)*4. Let d(r) be the third derivative of 1/54*r**4 + 0 - 1/27*r**3 + 0*r - y*r**5 - 2*r**2. Let d(l) = 0. What is l?
1
Let g(f) be the first derivative of f**6/24 - 33*f**5/20 - 181*f**4/16 - 335*f**3/12 - 33*f**2 - 19*f - 158. Let g(m) = 0. What is m?
-2, -1, 38
Determine a so that 8/15*a**2 - 8/15*a**4 + 4/15*a**3 + 0 + 2/15*a**5 - 2/5*a = 0.
-1, 0, 1, 3
Let y(d) be the first derivative of 5*d**3/3 - 3*d**2/2 + 2*d + 4. Let m be y(1). Factor -6*l**4 - 3*l**2 + 3*l**m + 5*l**2 + 3*l - 3*l**3 + l**2.
-3*l*(l - 1)*(l + 1)**2
Let u(b) be the first derivative of -1/4*b**2 + 3/4*b + 22 - 1/12*b**3. Factor u(y).
-(y - 1)*(y + 3)/4
Suppose -f - 18938 = -18943. Find n such that -4/3*n + 7/3*n**4 + 0 - 1/3*n**5 + 13/3*n**2 - f*n**3 = 0.
0, 1, 4
Let m be (-1612)/(-155) + (-2)/5. Suppose m*q - 9*q - 2 = 0. Determine l, given that -10/9*l**3 - 2*l + 4/9 + 8/3*l**q = 0.
2/5, 1
Let c(q) = -q**3 - 5*q**2 - q. Let t be c(-3). Let d(a) = 3*a. Let w(p) = p**5 - p**4 - 2*p**3 + 15*p. Let r(f) = t*d(f) + 3*w(f). Factor r(l).
3*l**3*(l - 2)*(l + 1)
Let s(m) be the first derivative of m**4/6 + m**3/3 - 2*m**2 + 17*m - 11. Let t(k) be the first derivative of s(k). Factor t(a).
2*(a - 1)*(a + 2)
Let f(b) = -2*b**3 - b**2 + b. Let z(g) = -g**5 - 6*g**4 - 6*g**3 + 2*g**2 + 9*g + 6. Let n(q) = -2*f(q) - z(q). Determine c so that n(c) = 0.
-3, -2, -1, 1
Let j = 7276 + -7274. Factor 2/13*r**3 + 2/13*r**j - 2/13*r**5 - 2/13*r**4 + 0 + 0*r.
-2*r**2*(r - 1)*(r + 1)**2/13
Let m = 57 + -51. Find x such that 7*x + 2*x**2 + 6*x + x**4 - 3 - m*x**3 - 6*x - 2*x + x**5 = 0.
-3, -1, 1
Let q(i) = -5*i**5 - i**4 + 11*i**3 - 7*i**2 - 18*i - 16. Let y(a) = -a**5 - a**4 + a**3 - 2. Let j(z) = -q(z) + 4*y(z). Solve j(p) = 0.
-1, 2, 4
Let p(l) be the third derivative of -l**5/40 + 3*l**4/16 - 5*l**2 - 5*l. Factor p(w).
-3*w*(w - 3)/2
Let o(f) be the third derivative of -8*f**2 + 0 - 1/270*f**6 + 0*f**5 + 0*f + 0*f**3 - 1/315*f**7 - 1/1512*f**8 + 0*f**4. Factor o(l).
-2*l**3*(l + 1)*(l + 2)/9
Let i(y) be the third derivative of -y**5/20 + 3*y**4 - 72*y**3 - 113*y**2. What is j in i(j) = 0?
12
Suppose -10*s = 4*s + 8*s. Let f = -19/4 + 25/4. Factor 3*b - f*b**2 + s.
-3*b*(b - 2)/2
Suppose 39*w = 44*w - 10. What is h in -2/11 + 0*h**3 + 0*h - 2/11*h**4 + 4/11*h**w = 0?
-1, 1
Let o(v) = 5*v**3 + 2*v**2 + 5*v. Let q(r) = -r + 5. Let x be q(7). Let b(t) = -4*t**3 - 3*t**2 - 4*t. Let l(a) = x*o(a) - 3*b(a). Factor l(i).
i*(i + 2)*(2*i + 1)
Let o = -33839/5 - -6833. Let u = -65 + o. Factor 0*i**2 + 1/5*i**5 + 0 + u*i - 2/5*i**3 + 0*i**4.
i*(i - 1)**2*(i + 1)**2/5
Let k(m) be the first derivative of -m**6/240 + m**5/16 - m**4/4 + m**3/3 - 1. Let t(j) be the third derivative of k(j). Factor t(y).
-3*(y - 4)*(y - 1)/2
Let z(b) be the third derivative of b**5/12 - 5*b**4/8 - 15*b**3 - 2*b**2 - 64. Let z(j) = 0. Calculate j.
-3, 6
Factor 5*j**2 - 2 - 3*j - 4*j**2 - 7*j**4 + 3*j**3 + 8*j**4.
(j - 1)*(j + 1)**2*(j + 2)
Let p(v) be the second derivative of v**5/50 + v**4/3 + 23*v**3/15 + 14*v**2/5 - 879*v. Determine c so that p(c) = 0.
-7, -2, -1
Factor 136/3*c - 4624/3 - 1/3*c**2.
-(c - 68)**2/3
Let h(j) be the second derivative of j**7/21 - 83*j**6/15 + 1843*j**5/10 - 5041*j**4/6 + 4880*j**3/3 - 1600*j**2 - 3*j + 34. Factor h(n).
2*(n - 40)**2*(n - 1)**3
Suppose 19 = 15*k - 11*k - 3*y, 0 = -3*k - 4*y + 8. Find p, given that 4*p**3 - 2286*p + 10*p**k + 2286*p = 0.
-2/5, 0
Let q(c) = c**3 - 2*c**2 + 10*c - 9. Let u be q(5). Factor -228 + 4*a + 112 + 12*a**2 + u.
4*a*(3*a + 1)
Let l = -27 + 42. Solve 0*v**2 - 2*v**2 - v**2 - l*v - 10 + 13*v**2 = 0.
-1/2, 2
Let o = 18 + 2. Let -347 - 16 + 66*c - 23*c**2 + o*c**2 = 0. Calculate c.
11
Let m(y) be the second derivative of -y**6/105 + y**4/42 - 23*y + 2. Let m(l) = 0. What is l?
-1, 0, 1
Let p(k) be the second derivative of -3*k**5/160 - 7*k**4/4 - 426*k. What is u in p(u) = 0?
-56, 0
Let k(t) = 2*t**4 - t**3 - t**2 + t. Let x(i) = -42*i**4 - 283*i**3 - 481*i**2 + 735*i - 150. Let r(c) = -5*k(c) - x(c). Determine a so that r(a) = 0.
-5, 1/4, 3/4
Let q = -37296/17 + 2194. Let c = 4394/17 - 258. What is f in -2/17*f**4 - q - 12/17*f**2 + 8/17*f**3 + c*f = 0?
1
Suppose -742*a + 13*a + 2056 = 598. Let 4/11 - 6/11*y - 4/11*y**a = 0. What is y?
-2, 1/2
Let l be (-6 + (-48)/8)*2/(-6). What is y in -45*y**l + 90*y**4 - 14*y**3 - 43*y**4 = 0?
0, 7
Let l = -113 - -115. Let w(q) be the first derivative of 2 + 1/3*q + 0*q**l - 1/9*q**3. Solve w(t) = 0 for t.
-1, 1
Suppose -16/5*i + 0 + 2/5*i**2 = 0. Calculate i.
0, 8
Let u = 72 - 69. Let 9 - 18*p**2 + 28*p**2 + 26*p + u = 0. What is p?
-2, -3/5
Let x be (-3)/(-15) - (-29)/5. Let h(c) = 3*c**2. Let i be h(-1). Solve 5*g**3 + x*g**2 + 3*g**5 - 3*g**3 - i*g - 2*g**3 - 6*g**4 = 0 for g.
-1, 0, 1
Let a(w) = -155*w**2 + 800*w - 895. Let k(q) = -11*q**2 + 57*q - 64. Let v(h) = -6*a(h) + 85*k(h). Find r, given that v(r) = 0.
2, 7
Let k(i) be the second derivative of -i**6/30 + i**5/10 + i**4/3 - i**3/3 - 3*i**2/2 + 2*i - 69. Factor k(c).
-(c - 3)*(c - 1)*(c + 1)**2
Let d(r) = -r**2 + 26*r - 21. Let s be d(25). Suppose -s*t - 7 - 5 = 4*g, -5*t - 4*g = 12. Factor -20/9*n**4 + t - 2/9*n - 2/3*n**5 - 4/3*n**2 - 8/3*n**3.
-2*n*(n + 1)**3*(3*n + 1)/9
Find v, given that 12/7*v - 2/7*v**2 - 4/21*v**3 - 16/21 = 0.
-4, 1/2, 2
Determine n so that 7*n**2 - 11*n - 231*n**3 + 4 + 1 + 230*n**3 = 0.
1, 5
Let i(h) be the third derivative of -h**5/30 - 2*h**4 - 23*h**3/3 - 5*h**2. Determine u so that i(u) = 0.
-23, -1
Let u(a) = 7*a**4 - 31*a**3 + 19*a**2 + 5*a + 5. Let y(x) = 3*x**4 - 15*x**3 + 10*x**2 + 2*x + 2. Let h(o) = 6*u(o) - 15*y(o). Solve h(s) = 0 for s.
0, 1, 12
Suppose 12*j = -9*j - 16*j + 21*j. Suppose j*r**2 + 5/4*r**4 + 5/4*r**3 + 0 + 0*r = 0. Calculate r.
-1, 0
Let y(l) be the first derivative of 2*l + 11/2*l**3 - 4*l**4 - 3*l**2 + 3 + 21/20*l**5. Let q(