 1, 5
Let s be (-5 - -3)*4/(-6)*(-297)/(-198). Let 675/2*z**4 + 4 + 42*z + 695/2*z**3 + 173*z**s + 125*z**5 = 0. What is z?
-1, -1/2, -2/5
Let m(k) = 5*k**2 - 1625*k + 134475. Let j(l) = 5*l**2 - 1622*l + 134474. Let p(d) = -5*j(d) + 6*m(d). Factor p(x).
5*(x - 164)**2
Let q(s) be the third derivative of s**7/1260 + s**6/90 - 5*s**4/24 + s**2. Let g(v) be the second derivative of q(v). Let g(c) = 0. What is c?
-4, 0
Let q be (248/(-2852))/((-3)/23). Suppose 8/15*d + q - 2/15*d**2 = 0. What is d?
-1, 5
Suppose 3*z = 1 + 2. Suppose z + 3 = 2*w. Factor 2/3*l**w + 0 - 4/3*l.
2*l*(l - 2)/3
Let b(l) be the second derivative of 7*l**5/30 - 19*l**4/12 - 2*l**3 - 2*l**2 - 9*l. Let s(i) be the first derivative of b(i). Solve s(k) = 0.
-2/7, 3
Suppose 5*j = 2*j + 750. Let -5*i**5 + 625*i + j*i**2 - 643*i**4 - 45*i**3 + 713*i**4 - 255*i**3 = 0. What is i?
-1, 0, 5
Let d(a) = 16*a**2 + 13*a + 5. Let v(m) = 57*m**2 + 45*m + 18. Let j(x) = 18*d(x) - 5*v(x). Let j(u) = 0. What is u?
-3, 0
Let w(n) be the third derivative of -n**5/160 + 7*n**4/8 - 49*n**3 + 6*n**2 - 2*n. What is s in w(s) = 0?
28
Let t(i) be the first derivative of i**5/570 - 4*i**3/57 - 15*i**2/2 - 9. Let j(o) be the second derivative of t(o). Let j(q) = 0. Calculate q.
-2, 2
Let -3/2*c**2 - 39675/2 - 345*c = 0. Calculate c.
-115
Let a(d) be the second derivative of -d**9/30240 + d**8/6720 - d**7/5040 - 5*d**4/4 - 15*d. Let w(q) be the third derivative of a(q). Let w(o) = 0. Calculate o.
0, 1
Suppose 3*b = 9, -2 = w + 5*b - 10*b. Suppose 18*j**2 + w*j**3 + 0 - 7/2*j**5 - 9/2*j**4 + 4*j = 0. Calculate j.
-2, -1, -2/7, 0, 2
Let z(p) be the third derivative of -4/3*p**5 + 3/5*p**6 + 0 + 0*p**3 + 0*p - 2/15*p**7 + 4/3*p**4 + 1/84*p**8 - 30*p**2. Suppose z(a) = 0. What is a?
0, 1, 2
What is i in 1/5*i**2 + 18/5*i - 19/5 = 0?
-19, 1
What is r in 5/2*r**4 - 45*r**2 - 35/2 + 50*r + 10*r**3 = 0?
-7, 1
Let o be 4*1/(-1 + 15). Suppose -2*f - 4*f = 2*f + 9*f. Factor 0*h - o*h**2 + f.
-2*h**2/7
Let n(j) be the third derivative of j**5/12 + 4*j**4/3 + 2*j**3 + 12*j**2 + 1. Determine p so that n(p) = 0.
-6, -2/5
Suppose -2*k + 4*s + 0*s + 26 = 0, -3*k = -s - 19. Suppose k*f + 20 = 0, -3*z - 4*f + 0 = -2. Let -z*m**2 + 3*m**2 - m - 5*m = 0. What is m?
-2, 0
Let j(p) = 9*p**3 + 500*p**2 + 20162*p - 42340. Let y(n) = -12*n**3 - 501*n**2 - 20163*n + 42342. Let g(f) = 3*j(f) + 2*y(f). Factor g(k).
3*(k - 2)*(k + 84)**2
Determine c, given that -60 - 40/3*c**2 - 2/3*c**3 - 54*c = 0.
-15, -3, -2
Let b(d) = -d**2 - d. Let v(n) = -2*n**3 - 22*n. Let w(f) = 10*b(f) - v(f). Determine p so that w(p) = 0.
0, 2, 3
Let g(m) be the first derivative of m**5/5 + 19*m**4/4 - m**3 - 59*m**2/2 - 38*m + 342. Factor g(x).
(x - 2)*(x + 1)**2*(x + 19)
Suppose -4 = 21*w - 22*w. Find j, given that -5*j + 50*j**w - 51*j**4 + 5*j - 2*j**3 = 0.
-2, 0
Let c = -1227/8 + 3761/24. Factor -c*t**2 + 5/3*t**3 + 5/3*t + 0.
5*t*(t - 1)**2/3
Let u be (-2 + (-5)/(-5))*-3. Solve 52 - 52 - 3*b**3 - 2*b + 5*b**u = 0 for b.
-1, 0, 1
Let z(x) be the second derivative of -11*x + 1/2*x**6 + 0 - 5/6*x**4 - x**5 - 5/2*x**2 + 10/3*x**3. Suppose z(w) = 0. What is w?
-1, 1/3, 1
Suppose -5*x = -35*x - 6 + 6. Suppose 2*m - n = 3*n - 10, 0 = n - 4. Factor 0 + x*z + 1/8*z**m + 0*z**2 + 1/8*z**4.
z**3*(z + 1)/8
Let v(w) be the first derivative of -w**5/5 - 2*w**4 - 6*w**3 - 8*w**2 - 5*w - 110. Factor v(h).
-(h + 1)**3*(h + 5)
Let w = 2/52921 + 5239175/105842. What is v in 51/2*v**2 - 15 - 21/2*v**4 + 99/2*v - w*v**3 = 0?
-5, -1, 2/7, 1
Let k = -3514 + 3516. Find h, given that 2/3*h**2 + k + 8/3*h = 0.
-3, -1
Let f(t) be the second derivative of t**8/3780 + t**7/420 + t**6/135 + t**5/135 - t**3/2 + 12*t. Let m(u) be the second derivative of f(u). Solve m(r) = 0.
-2, -1/2, 0
Let a(r) be the second derivative of 0*r**2 - 3*r + 8/3*r**3 + 4/3*r**4 + 0 + 1/5*r**5. Solve a(n) = 0.
-2, 0
Let w(r) be the third derivative of -25*r**8/336 - 13*r**7/42 - r**6/4 + 5*r**5/6 + 55*r**4/24 + 5*r**3/2 - 73*r**2. Solve w(f) = 0 for f.
-1, -3/5, 1
Let c(d) be the second derivative of d**6/160 - 15*d**2/2 + 20*d. Let v(s) be the first derivative of c(s). Factor v(l).
3*l**3/4
Factor 2/3*h**3 + 0 - 4*h**2 + 16/3*h.
2*h*(h - 4)*(h - 2)/3
Let m(c) be the third derivative of 4/15*c**3 + 1/75*c**6 + 4/525*c**7 - 1/420*c**8 + 0*c + 33*c**2 - 1/30*c**4 - 4/75*c**5 + 0. Let m(b) = 0. What is b?
-1, 1, 2
Let a be -7 - ((-1)/(-1) + -1). Let o = -4 - a. Find z, given that o + 7*z**2 + 3*z**3 - 3*z - 17*z**2 + 7*z**2 = 0.
-1, 1
Let q = -39543/44 - -9894/11. Factor -q*m**3 + 3/2*m**2 + 3/4*m - 3/2.
-3*(m - 2)*(m - 1)*(m + 1)/4
Let h(w) = 5*w**2 - 55*w + 115. Let y(i) = -5*i**2 + 54*i - 113. Let f(s) = -4*h(s) - 5*y(s). Factor f(m).
5*(m - 7)*(m - 3)
Let r(m) = 5*m - 1. Let v = 10 - 9. Let l be r(v). Determine h so that 4*h**2 + 4 + l + 8*h - 4 = 0.
-1
Let x(i) = 4*i**3 - 248*i**2 + 3851*i + 7. Let k(f) = -2*f**3 + 124*f**2 - 1925*f - 3. Let s(d) = -7*k(d) - 3*x(d). Find c, given that s(c) = 0.
0, 31
Let f be (-1 + (-66)/20)*(-9 - -7). Let d = 91/10 - f. Find v such that 0*v**3 - d*v**4 + 1/2*v**2 + 1/4*v + 0 - 1/4*v**5 = 0.
-1, 0, 1
Let h = 376/57 + -2518/399. Determine r, given that 0 + 24/7*r**2 - 72/7*r - h*r**3 = 0.
0, 6
Solve -42/5*n**3 + 9*n**4 + 42/5*n - 48/5*n**2 + 3/5 = 0.
-1, -1/15, 1
Let a(x) = -x**2 + 2*x + 1. Let g be a(5). Let v = g + 18. Factor -8*c - v*c**2 + 17*c**2 - 77*c**3 - c**2 + 73*c**3.
-4*c*(c - 2)*(c - 1)
Let h(w) = -7 + 30 + 6*w - 20 - 19. Let i be h(3). Factor 3/7*z**i - 6/7 - 3/7*z.
3*(z - 2)*(z + 1)/7
Let d(m) be the first derivative of -m**5/70 + m**4/42 + m**3/21 - 5*m**2/2 + 9. Let p(h) be the second derivative of d(h). Determine b so that p(b) = 0.
-1/3, 1
Let f(j) be the second derivative of -25*j**9/3024 - j**8/336 + 2*j**7/105 - j**6/90 + j**3/2 + j. Let x(b) be the second derivative of f(b). Factor x(k).
-k**2*(k + 1)*(5*k - 2)**2
Let p(r) = -3*r. Let y be 1*(-1 - 0/(-4)). Let t be p(y). Let 3*n**5 + 3*n**4 + 0*n - 3*n**2 + 0*n - 3*n**t = 0. What is n?
-1, 0, 1
Suppose 4*x + 88 = -360. Let u = x + 112. Factor 2/5*d**2 - 2/5 + u*d.
2*(d - 1)*(d + 1)/5
Let u(a) = -7*a**3 + a + 3. Let h(o) = 6*o**3 - 10*o**2 + 2. Let q(l) = l**3 - l**2. Let t(c) = -2*h(c) + 20*q(c). Let z(w) = 3*t(w) + 4*u(w). Factor z(k).
-4*k*(k - 1)*(k + 1)
Let d(k) = -k**2 - k. Let o be d(-3). Let x be o/(-5)*(-25)/(-10). Suppose 3*c + 2*c**4 + c**4 - 2*c**x - 3*c**2 + 0*c**3 - c**3 = 0. Calculate c.
-1, 0, 1
Suppose 0 = -9*d + 321 - 276. Factor 0 - 8*g**4 + 0*g - 11/2*g**3 - g**2 - 7/2*g**d.
-g**2*(g + 1)**2*(7*g + 2)/2
Let g = 6235/728 + -133/104. Factor -g*s + 57/7*s**2 - 6/7.
3*(s - 1)*(19*s + 2)/7
Let k(c) = c. Let j(v) = -7*v**2 - 7*v - 13. Let y(o) = 11*o**2 + 11*o + 19. Let g(w) = -8*j(w) - 5*y(w). Let s(r) = -4*g(r) - 20*k(r). Factor s(h).
-4*(h + 3)**2
Let q = -389/2 + 199. Determine g, given that 0 - 3/2*g**3 - 3*g + q*g**2 = 0.
0, 1, 2
Let j(o) be the first derivative of -196*o**5/25 - 14*o**4 + 4*o**3/5 + 8*o**2 - 16*o/5 + 262. Factor j(k).
-4*(k + 1)**2*(7*k - 2)**2/5
Suppose -2*g - 6 = -3*f, 0 = f - 2*g - 5 - 1. Let k(i) = i**3 + i + 2. Let p be k(f). Factor -6*z + 4*z**2 - p*z**3 + 2 + 3*z**2 - z**2 + 0*z**2.
-2*(z - 1)**3
Determine l so that 10*l**2 + 0 + 5/4*l**4 + 35/4*l**3 - 20*l = 0.
-4, 0, 1
Let v(y) be the second derivative of 1/12*y**4 + 1/3*y**2 + 0 + 12*y - 1/90*y**6 + 5/18*y**3 - 1/60*y**5. Factor v(l).
-(l - 2)*(l + 1)**3/3
Let b = -61/105 - -227/210. Let b + 0*c - 1/2*c**2 = 0. What is c?
-1, 1
Let c(p) be the first derivative of p**4/4 - 118*p**3/3 + 117*p**2/2 - 74. What is x in c(x) = 0?
0, 1, 117
Let v = -849 + 851. Let t(f) be the second derivative of 1/18*f**3 + 0 + 1/36*f**4 - 1/3*f**v + 8*f. Determine d so that t(d) = 0.
-2, 1
Let b(u) be the first derivative of -2*u**5/5 - 3*u**4 + 2*u**3/3 + 6*u**2 - 371. Let b(k) = 0. Calculate k.
-6, -1, 0, 1
Suppose 0 = 42*b - 46*b + i + 8, -4 = -2*b + 5*i. Let k(j) be the first derivative of 1/4*j**b + 1/12*j**3 + 2 + 1/4*j. Factor k(w).
(w + 1)**2/4
Let r(k) be the first derivative of k**5 + 35*k**4 + 830*k**3/3 - 1050*k**2 + 1125*k + 179. Determine x so that r(x) = 0.
-15, 1
Let m(q) be the second derivative of 1/8*q**4 + 0 + 40*q + 1/40*q**5 + 5/4*q**2 - 3/4*q**3. Factor m(d).
(d - 1)**2*(d + 5)/2
Let b be 0/