
-2, -1, -2/7
Let d(z) be the first derivative of 3*z**4/20 - 3*z**3/5 + 81. Determine w, given that d(w) = 0.
0, 3
Let x(f) be the third derivative of 5/32*f**4 + 0 + 31*f**2 - 1/80*f**5 - 3/4*f**3 + 0*f. Suppose x(n) = 0. Calculate n.
2, 3
Let z(m) be the second derivative of m**6/210 - m**4/28 + m**3/21 - 374*m. Factor z(y).
y*(y - 1)**2*(y + 2)/7
Let i be (-36)/(-30)*(-4)/(-9). Let w = 5/19 + 1/285. Factor -2/15*m**3 + i*m + w*m**2 - 16/15.
-2*(m - 2)**2*(m + 2)/15
Let y be (343/(-140) + 2)*(-25)/15. Factor y*c**2 - 9/4*c + 0.
3*c*(c - 3)/4
Let k = -2391 + 74129/31. Let c = k - -38/93. Suppose -c*w**5 - 2/3*w**2 + 0 + 0*w + 2/3*w**4 + 2/3*w**3 = 0. Calculate w.
-1, 0, 1
Solve -9/2*w + 0 + 17/2*w**2 - 7/2*w**3 - 1/2*w**4 = 0.
-9, 0, 1
Suppose -6/5*w**3 + 6/5*w**4 + 6/5 + 3/5*w + 3/5*w**5 - 12/5*w**2 = 0. Calculate w.
-2, -1, 1
Let n be -12 + (-24)/(-3) + 9. Find f such that -2/5*f**2 + 1/5*f**4 - 8/5*f**3 + 4/5*f + 4/5*f**n + 1/5 = 0.
-1, -1/4, 1
Suppose 5 = 3*k - 1. Factor y**4 - 3*y + 4*y**2 + 2*y**3 + y**3 - y**k - 4*y**4.
-3*y*(y - 1)**2*(y + 1)
Let c(y) = -3 + y**3 - 6*y - 4*y**2 - 2*y**2 + 1 - 2*y**3. Let a be c(-5). Let 2 - 2*r**2 - 6*r + 3*r**3 + 0*r + a*r = 0. Calculate r.
-1, 2/3, 1
Determine t, given that -t**3 - 3/2*t**2 + 0 + 1/2*t**4 + 0*t = 0.
-1, 0, 3
Factor -12/7 - 20/7*g + 8/7*g**2.
4*(g - 3)*(2*g + 1)/7
Let q(a) be the third derivative of -5*a**8/168 - a**7/6 + 7*a**6/24 + 11*a**5/12 - 25*a**4/24 - 10*a**3/3 - 67*a**2. Suppose q(p) = 0. Calculate p.
-4, -1, -1/2, 1
Let k(c) = -8*c**5 + 11*c**4 + 6*c**3 - 17*c**2 - 4*c. Let h(u) = u**5 - u**4 - u**3 + u**2. Let b(z) = 36*h(z) + 4*k(z). Factor b(f).
4*f*(f - 2)*(f + 1)**2*(f + 2)
Suppose -229 = 8*q + 27. Let p = q - -34. Determine i, given that 0*i**3 - 2/5*i**4 + 0*i + 4/5*i**p - 2/5 = 0.
-1, 1
Suppose y - 9 = 1. Determine n so that -y*n**2 + 8*n**2 + 4*n**2 + 8 - 8*n = 0.
2
Let u = -2/1189 - -2388/5945. Determine m, given that -4/15*m + 0 + u*m**2 - 2/15*m**3 = 0.
0, 1, 2
Let a(o) be the first derivative of -9*o**5/5 - 507*o**4/4 - 221*o**3 - 165*o**2/2 - 1031. Find z such that a(z) = 0.
-55, -1, -1/3, 0
Let h(n) be the second derivative of -n**7/70 + n**5/10 - n**3/2 - 6*n**2 + 26*n. Let x(m) be the first derivative of h(m). Factor x(r).
-3*(r - 1)**2*(r + 1)**2
Suppose -2*g + 3 = -1. Suppose -4*m = g*v + v - 22, -8 = -2*m. Let c - v*c + 15*c**3 - 18*c**2 + 7*c - 3*c = 0. What is c?
0, 1/5, 1
Let t(l) be the second derivative of l**6/120 - l**5/16 + 20*l + 3. Let t(r) = 0. Calculate r.
0, 5
Let b be 4 + 0 - 2/297*560. Let a = -2/297 + b. Factor 2/9*c + a*c**2 + 0.
2*c*(c + 1)/9
Let z(s) be the second derivative of -s**4/18 + 3*s**3 - 26*s**2/3 + 10*s. Determine g, given that z(g) = 0.
1, 26
Let n = -924 - -6472/7. Determine u, given that -n - 6/7*u - 2/7*u**2 = 0.
-2, -1
Let o(l) be the second derivative of l**6/30 + l**5/4 - 2*l**4/3 - 2*l**3 + 2*l - 3. Let o(z) = 0. Calculate z.
-6, -1, 0, 2
Let i be (-1 - -87)*(-6 - -11). Suppose 5*q**3 - i*q + 430*q = 0. Calculate q.
0
Let d(w) be the second derivative of -w**6/8 + w**5/20 + 19*w**4/48 - w**3/6 - w**2/2 - 5*w. Solve d(k) = 0.
-1, -2/5, 2/3, 1
Factor 155/3 + 50*n - 5/3*n**2.
-5*(n - 31)*(n + 1)/3
Let p(z) be the first derivative of -z**7/1260 + z**6/540 + z**5/180 - z**4/36 - 7*z**3 - 5. Let k(s) be the third derivative of p(s). What is w in k(w) = 0?
-1, 1
Let b(a) be the third derivative of 0 - 1/108*a**5 + 1/630*a**7 - 1/216*a**4 + 4*a**2 + 1/1080*a**6 + 1/27*a**3 + 0*a. Factor b(n).
(n - 1)*(n + 1)**2*(3*n - 2)/9
Determine k so that 18*k**3 + 9*k**3 - 31*k**3 + 34*k**2 - 76 + 42*k**2 + 4*k = 0.
-1, 1, 19
Let q(g) be the second derivative of 0*g**2 + 1/20*g**5 - 27*g + 8/3*g**3 + 0 - 2/3*g**4. Find s, given that q(s) = 0.
0, 4
Suppose -3*u + u + 8 = 0. Let s be ((-24)/(-14))/u*1*7. Determine z so that 0*z + 4/3*z**4 - 8/3*z**2 + 4/3 + 0*z**s = 0.
-1, 1
Suppose 0 = -13*p + 8*p + 20. Factor -5*r**p + 5*r**3 + 346*r - 346*r.
-5*r**3*(r - 1)
Let t be (-2 + 1)*4 + (-931)/14. Let q = -70 - t. Let -s + q*s**4 - 1/2 + s**3 + 0*s**2 = 0. What is s?
-1, 1
Let h be -3 + -2 - (-22)/(-6). Let s = h - -139/15. Factor 0 + 6/5*c - 3/5*c**2 - s*c**3.
-3*c*(c - 1)*(c + 2)/5
Let y(o) be the first derivative of 2*o**5/45 - o**4/9 - 2*o**3/27 + 2*o**2/9 + 206. Find j, given that y(j) = 0.
-1, 0, 1, 2
Determine w so that -36*w - 72*w**4 - 17*w**5 + 8 - 18 - 10*w**5 + 33*w**3 + 126*w**2 - 14 = 0.
-2, -1/3, 2/3, 1
Let y be 20/4 + (-294)/60. Let s(q) be the first derivative of 0*q**3 + 0*q**4 + y*q**5 + 0*q + 5 + 0*q**2. Factor s(x).
x**4/2
Let j(b) be the third derivative of b**6/1020 - b**5/510 - b**4/51 + 4*b**3/51 - 3*b**2 - 38*b. Suppose j(m) = 0. What is m?
-2, 1, 2
Factor -4*u + 30*u**2 - 7*u**3 - u**4 + 852 - 892 + 0*u.
-(u - 2)**2*(u + 1)*(u + 10)
Let d(p) = 18*p**3 + 50*p**2 + 2*p - 33. Let q(k) = 34 + 31 - 100*k**2 - 56*k**3 - 2*k - 3*k + 21*k**3. Let c(n) = -5*d(n) - 3*q(n). Find j such that c(j) = 0.
-3, -1, 2/3
Let w(o) = 31*o**3 + 39*o**2 - 147*o + 75. Let j(n) = 49*n**3 + 58*n**2 - 220*n + 112. Let i(a) = 5*j(a) - 8*w(a). Determine c so that i(c) = 0.
-10, 2/3, 2
Let p(t) be the third derivative of t**5/60 + t**4/2 + 19*t**3/3 + 12*t**2. Let k be p(-6). Factor -65/2*o**k + 0 - 50*o**4 - 70*o**3 - 5*o.
-5*o*(2*o + 1)**2*(5*o + 2)/2
Factor -690*x**3 - 5*x**4 - 31740*x**2 - 63 + 53 + 10 - 486680*x.
-5*x*(x + 46)**3
Find c, given that 36*c**2 + 50*c**2 - 1 + 21*c**3 - 132*c**2 - 4 + 29*c + 1 = 0.
4/21, 1
Factor -12 + 8*d - 32*d**2 + 32*d + d**3 + 22*d - 14*d**3 - 5*d**3.
-2*(d - 1)*(d + 3)*(9*d - 2)
Let i(b) be the first derivative of b**6/240 - b**5/48 + b**4/24 - b**3/24 - 3*b**2 + 6. Let h(v) be the second derivative of i(v). Factor h(p).
(p - 1)**2*(2*p - 1)/4
Let x(r) be the first derivative of r**6/45 - r**5/15 + 2*r**3/9 - r**2/3 + 14*r + 9. Let l(k) be the first derivative of x(k). Find s, given that l(s) = 0.
-1, 1
Suppose a - 19 = -5*g, -62 + 69 = 2*g + a. Let o = -57/10 + 149/20. Factor -g*i + 1 + o*i**2.
(i - 2)*(7*i - 2)/4
Let w = -66/17 + 4. Determine q, given that -4/17*q**2 + 2/17*q**3 + w*q + 0 = 0.
0, 1
Let m(c) = -3*c**4 - 6*c**3 + 3*c**2. Let f(z) = 395*z + z**2 - 395*z. Let b(h) = 6*f(h) - m(h). Let b(n) = 0. Calculate n.
-1, 0
Let s(v) = 8*v**3 - 366*v**2 + 6480*v - 3. Let c(o) = -95*o**3 + 4390*o**2 - 77760*o + 35. Let b(u) = -3*c(u) - 35*s(u). Determine k so that b(k) = 0.
0, 36
Let j = 3458 + -3456. Solve -9/5*i**4 + 3/5*i**3 + 8/5 - 28/5*i + 26/5*i**j = 0.
-2, 2/3, 1
Let s(b) be the second derivative of b**4/48 - b**3/24 + 72*b. Suppose s(a) = 0. Calculate a.
0, 1
Factor 16/19*n - 2/19*n**2 + 0.
-2*n*(n - 8)/19
Let g(z) be the first derivative of -5 - 16*z + 4/3*z**3 + 6*z**2. Solve g(s) = 0.
-4, 1
Let w(b) be the first derivative of -6*b**2 - 3/4*b**4 + 3/20*b**5 - 1/80*b**6 + 0*b - 7 + 2*b**3. Let p(c) be the second derivative of w(c). Factor p(a).
-3*(a - 2)**3/2
Let x(r) = 14*r**5 + 12*r**4 + 27*r**3 + 19*r**2 + 5*r. Let i(f) = 11*f**5 + 11*f**4 + 27*f**3 + 21*f**2 + 6*f. Let y(v) = -5*i(v) + 4*x(v). Factor y(l).
l*(l - 10)*(l + 1)**3
Let z(o) be the first derivative of 3*o**4/4 - 29*o**3 - 78. Factor z(g).
3*g**2*(g - 29)
Let x be 65/390*8/6. What is f in 4/9 + 2/9*f**3 + x*f**4 - 2/3*f**2 - 2/9*f = 0?
-2, -1, 1
Let j be ((-4)/(-5))/((-1)/(-175)). Let o = 141 - j. Solve -1/2*z**2 - o - 3/2*z = 0.
-2, -1
Let l(t) = 284*t**2 - 26*t - 7 - 149*t**2 - 142*t**2. Let k(i) = -15*i**2 - 53*i - 14. Let m(z) = 4*k(z) - 9*l(z). Solve m(q) = 0.
-7, -1/3
Suppose -5*v - 50 = 210. Let z be (-39)/v + (-1)/2. Let 0 - z*d**2 + 0*d = 0. What is d?
0
Suppose -3*d = 2*u - 8, 0 = 6*u - 4*u - 2. Suppose -4*n = -0*n - 12. Factor 23*q**3 - 7*q - q + 2 + 18*q**4 + q**n - 4*q**d.
2*(q + 1)**2*(3*q - 1)**2
Let s(y) be the first derivative of y**6/20 - 22*y**5/25 + 17*y**4/5 - 29*y**3/5 + 101*y**2/20 - 11*y/5 + 1053. Solve s(p) = 0 for p.
2/3, 1, 11
Let s(d) be the second derivative of -7/15*d**6 + 0*d**2 + 0*d**3 + 0 - 1/2*d**5 + 11*d + 1/3*d**4. Determine b so that s(b) = 0.
-1, 0, 2/7
Suppose 88 - 8*f + 2/11*f**2 = 0. Calculate f.
22
Let c(t) be the first derivative of t**3/5 - 33*t**2/10 + 6*t - 204. Find h, given that c(h) = 0.
1, 10
Let r(l) be the second derivative of -2*l**5/25 + 2*l**4/3 - 17*l**3/15 + 4*l**2/5 +