e 1/2*i**3 - 3*i**2 + 5 + 3/2*i = 0 for i.
-1, 2, 5
Suppose 0 = -2*h + 5*v + 9, 6*h - 3*v = h + 13. Find c, given that -c**3 + 23*c**2 - 29*c**h + 17*c**2 + 25 - 35*c = 0.
1, 5
Find b such that 55*b**2 + 5*b**3 - 15*b**2 - 12*b - 33*b = 0.
-9, 0, 1
Let o(n) be the first derivative of 3*n**5/5 + 39*n**4/20 + 9*n**3/5 - 3*n**2/10 - 6*n/5 - 29. Factor o(d).
3*(d + 1)**3*(5*d - 2)/5
Suppose 0 = 3*m + x - 11, 25*x - 24*x - 8 = -2*m. Solve -1/7*g**m - 1/7*g**2 + 1/7 + 1/7*g = 0.
-1, 1
Suppose -7*j = -6*j - 16. Factor 4*i**4 - 16*i**3 - 5 + 6 + j*i**2 - 1.
4*i**2*(i - 2)**2
Factor 19/3*b - 8/3*b**2 - 10/3 - 1/3*b**3.
-(b - 1)**2*(b + 10)/3
Let g(b) = 2*b + 28. Let c be g(-12). Factor 5*l**2 - 10*l - 4*l**2 - 18 - c*l**2 + 31*l.
-3*(l - 6)*(l - 1)
Let i be 2/(-5) - 112/20. Let a(w) = -w**2 - 5*w + 7. Let u be a(i). Solve -28*h**2 + 4*h**3 - 5*h**5 + 17 - u - 3*h**5 + 4*h**5 + 12*h**4 = 0 for h.
-1, 1, 2
Suppose -4*a = -0*a. Find v such that 4*v - 8*v + a*v + v**2 + 4 = 0.
2
Let r(t) be the second derivative of t**4/96 - 13*t**3/24 + 25*t**2/16 + 113*t. Factor r(c).
(c - 25)*(c - 1)/8
Let n = -22/7 + 80/21. Let h(f) be the first derivative of 0*f - 1/4*f**4 + 1 + n*f**3 - 1/2*f**2. Solve h(m) = 0 for m.
0, 1
Suppose -94 - 246 = -4*m. Find t, given that -3*t + 3 + t**4 - m*t**2 + 92*t**2 - 3 - 5*t**3 = 0.
0, 1, 3
Let d = 464/1125 - -4/125. Suppose -16*a**2 + 0*a + 0 + 16/3*a**3 - d*a**4 = 0. Calculate a.
0, 6
Factor 2/11*m**2 - 168/11 + 80/11*m.
2*(m - 2)*(m + 42)/11
Let k(l) = 7*l - 5. Let z(p) = p - 3. Let w be z(10). Let i be k(w). Determine a so that -100 + 100 + 168*a**4 - 32*a**2 - 144*a**3 - i*a**5 = 0.
-2/11, 0, 2
Suppose -19*k = -37 - 18 - 40. What is l in 55/2*l**3 - 40*l - 65/2*l**2 - 10 - 10*l**k + 20*l**4 = 0?
-1, -1/2, 2
Let x(c) = -c**3 - 5*c**2 + 5*c - 4. Let g be x(-6). Determine q so that 8*q**g - 3*q**3 + 4*q**2 + q**5 + 6*q**4 + 4*q + 16*q**3 = 0.
-2, -1, 0
Factor -2/9*n**3 + 8/9*n + 0 - 2/3*n**2.
-2*n*(n - 1)*(n + 4)/9
Determine i so that -17*i**2 + 40 - 35*i + 23*i**2 - 11*i**2 = 0.
-8, 1
Let m(z) be the first derivative of 5/2*z**4 + 30 - z**5 + 35/3*z**3 + 10*z**2 + 0*z. Factor m(o).
-5*o*(o - 4)*(o + 1)**2
Let j be 33/5 + (-22)/(-55). Let m(s) = -s**3 + 8*s**2 - 8*s + 9. Let c be m(j). Find y such that 5*y**c - 2*y**2 + 0 - 3 = 0.
-1, 1
Let p(x) be the second derivative of x**4/12 - 5*x**3/6 - 9*x**2/2 + 4*x. Let f be p(7). Let 0*v - 4 - v**2 + f*v - v = 0. Calculate v.
2
Suppose 658*d - 99 = 2952 - 419. Solve -4/7 + 2/7*s**5 - 32/7*s**2 + 18/7*s + d*s**3 - 12/7*s**4 = 0 for s.
1, 2
Suppose -5*i - k - k + 271 = 0, -3*i - k = -162. Factor 23*n + 29*n - i*n - 1 + 30*n**2.
(5*n - 1)*(6*n + 1)
Let p = 4848 - 4843. Factor 8/5*v**3 + 8/5*v**4 + 2/5*v**p - 2*v - 4/5 - 4/5*v**2.
2*(v - 1)*(v + 1)**3*(v + 2)/5
Let r be (5118/(-9383))/((-4)/110). Find t such that r*t + 40/3 + 5/3*t**2 = 0.
-8, -1
Let x(d) be the second derivative of 0*d**2 - 1/90*d**6 + 0 - 5*d + 0*d**5 + 0*d**4 + 0*d**3 + 1/126*d**7. Solve x(i) = 0.
0, 1
Suppose -2*f + 6 = 3*i - 4*f, -5*i = -2*f - 14. Find j such that 2*j + i*j**3 - 86*j**4 + 2*j - 3 + 83*j**4 + 14*j**2 = 0.
-1, 1/3, 3
Suppose -3*o + m + 22 = -4*m, 8 = 2*o - 2*m. Let v be 20/(-6)*o/5. Suppose -2/3*g**2 + 2/3 - v*g**3 + 2/3*g = 0. What is g?
-1, 1
Suppose 4 - 7 = -o. Suppose o*i - 17 = -11. Determine t, given that -t**3 - 1/2*t**5 + 1/2 + 3/2*t + t**i - 3/2*t**4 = 0.
-1, 1
Let m = 2528 + -10107/4. Let -5/2 - 5/4*x + m*x**2 = 0. Calculate x.
-1, 2
Let u(a) be the first derivative of -2/35*a**5 - 44 + 4/21*a**3 - 1/21*a**6 + 1/7*a**4 - 2/7*a - 1/7*a**2. Factor u(v).
-2*(v - 1)**2*(v + 1)**3/7
Let x(s) be the second derivative of 2*s**7/189 - 2*s**6/27 + 4*s**5/45 - 72*s. Let x(c) = 0. Calculate c.
0, 1, 4
Let n(o) be the third derivative of -5*o**6/168 - o**5/14 - o**4/14 + 5*o**3/6 - o**2. Let i(j) be the first derivative of n(j). Find f, given that i(f) = 0.
-2/5
Let r(h) = h**2 - 3*h - 1. Let m be r(4). Suppose 3*z = -c - c + 5, m*c - 7 = -5*z. Factor -4/15*l - 14/15*l**c - 32/15*l**3 - 22/15*l**2 + 0.
-2*l*(l + 1)**2*(7*l + 2)/15
Let s(f) be the second derivative of 5*f**4/12 + 50*f**3/3 + 250*f**2 - f - 66. What is a in s(a) = 0?
-10
Let p(u) be the second derivative of u**5/100 + 4*u**4/15 + 11*u**3/6 - 36*u**2/5 - 2*u + 11. Let p(q) = 0. What is q?
-9, -8, 1
Let f(w) be the third derivative of w**8/21 - 4*w**7/21 + 11*w**6/40 - 3*w**5/20 + 159*w**2. Factor f(h).
h**2*(h - 1)*(4*h - 3)**2
Suppose -24*p + 35 = -19*p. Suppose -3*x = -4*k + p*k - 24, 2*k - 2*x = 4. Determine b so that 1/3*b**k - b**4 + 2/3*b**2 + 2/3*b**3 - b + 1/3 = 0.
-1, 1
Let r(q) = -5*q**3 - 9*q**2. Let p(x) = x**3 - 4*x**3 - 28*x**2 - 13*x**3. Let g(f) = -6*p(f) + 20*r(f). Factor g(o).
-4*o**2*(o + 3)
Let v(s) = -s**3 + 24*s**2 - 96*s. Let n(d) = -d**2 - d. Let x(c) = 12*n(c) + 3*v(c). Let x(p) = 0. Calculate p.
0, 10
Let u = 3765 - 3763. Suppose 1/4*n**3 - 7/4*n**u - 3 + 4*n = 0. Calculate n.
2, 3
Determine j so that -36/5 - 93/5*j - 69/5*j**2 - 12/5*j**3 = 0.
-4, -1, -3/4
Suppose -15*i - 20 = -25*i. Suppose -4*n - 5*p = -7, n + i*p = 5*n - 14. What is d in 2/9*d**4 + 8/9*d**5 + 32/9*d - 10/9*d**2 - 40/9*d**n + 8/9 = 0?
-2, -1, -1/4, 1, 2
Let v(w) be the third derivative of -w**7/560 + w**6/96 + w**5/40 - 11*w**4/24 - 11*w**2. Let b(o) be the second derivative of v(o). Factor b(c).
-3*(c - 2)*(3*c + 1)/2
Let u = -126910/9 - -14102. Factor -4/9*k + 0 - 2/9*k**4 - u*k**3 - 10/9*k**2.
-2*k*(k + 1)**2*(k + 2)/9
Suppose -g = 2*r - 4*r + 10, -5*r = 3*g - 3. Let b(j) = 4*j**4 - j**3 + j**2. Let n(c) = 5*c**4. Let i(s) = r*n(s) - 4*b(s). Determine o, given that i(o) = 0.
0, 2
Let l be (-26)/60 + 1/2. Let a(q) be the first derivative of -1/3*q**2 - 7 + l*q**5 + 0*q**3 + 1/6*q**4 - 1/3*q. Factor a(n).
(n - 1)*(n + 1)**3/3
Solve -9*g**2 + 0*g**3 + 6*g + 2*g**2 + 2*g**2 + g**3 = 0 for g.
0, 2, 3
Let b(h) be the second derivative of 0 - 20*h + 2*h**3 - 1/8*h**4 + 27/4*h**2. Find k such that b(k) = 0.
-1, 9
Let v(s) be the first derivative of 0*s - 1/18*s**3 - 1/6*s**2 - 1/6*s**5 + 1/3*s**4 + 29. Factor v(m).
-m*(m - 1)**2*(5*m + 2)/6
Let c(n) be the first derivative of 3*n**5/20 + 3*n**4/4 - 27*n**3/4 + 57*n**2/4 - 12*n + 27. Factor c(v).
3*(v - 2)*(v - 1)**2*(v + 8)/4
Let t(w) = 0 - 7 + 0*w**2 + 6 - w - w**2. Let s(c) = c**3 + 3*c**2 + 6*c + 5. Let j(g) = s(g) + 5*t(g). Factor j(i).
i*(i - 1)**2
Let g be (0 + (-13)/26)*-4. Determine d, given that -5/3*d**g - 5/3*d**4 + 10/3 + 5*d - 5*d**3 = 0.
-2, -1, 1
Let n(d) = -2*d**5 - 2*d**4 + 2*d**2 + 4*d + 2. Let r(q) = 2*q**5 + q**4 - q**2 - 5*q - 3. Let k(f) = 3*n(f) + 2*r(f). What is h in k(h) = 0?
-1, 0, 1
Suppose -4*p - 3*s = -19, s - 21 = p - 6*p. Determine a, given that 3*a**2 + 2*a**4 - 3*a + a**p + 4*a**4 - 10*a**4 + 3*a**3 = 0.
-1, 0, 1
Factor 0 - 14/13*i**2 + 6/13*i + 10/13*i**3 - 2/13*i**4.
-2*i*(i - 3)*(i - 1)**2/13
Let n(q) be the third derivative of 2*q**7/105 + q**6/30 - 3*q**5/5 - 3*q**4/2 - 186*q**2. Find u such that n(u) = 0.
-3, -1, 0, 3
Let s(i) be the first derivative of -1 - 1/6*i**4 + 0*i - 1/15*i**5 + 0*i**2 - 1/9*i**3. What is a in s(a) = 0?
-1, 0
Let m(o) be the third derivative of -o**6/120 + o**5/30 + o**4/3 - 79*o**2. What is g in m(g) = 0?
-2, 0, 4
Let p(o) = -o + 2. Let w be p(3). Let a(l) = 39*l**2 + 1. Let k be a(w). Factor 8*u**4 + k*u**2 + 0*u + 15 - 34*u**3 - 15 - 8*u.
2*u*(u - 2)**2*(4*u - 1)
Let 1/8*q**4 + 1/4*q - 1/8 - 1/4*q**3 + 0*q**2 = 0. Calculate q.
-1, 1
Let d be 8/20 - 5/(6825/(-53724)). Let u = d - 385/13. Find j such that 3*j + 5*j**4 + 2/7 + 87/7*j**3 + u*j**2 = 0.
-1, -2/7, -1/5
Factor 56/9*r**2 - 160/3*r - 2/9*r**3 + 128.
-2*(r - 12)**2*(r - 4)/9
Let f = 853 - 1673/2. Let q = -16 + f. Solve -1/2 - q*b**2 + b = 0.
1
Suppose -12*a + 10 = -26. Let q(n) be the second derivative of n + 0*n**2 + 0*n**a + 1/60*n**5 + 1/36*n**4 + 0. Factor q(z).
z**2*(z + 1)/3
Let u be ((-12)/9)/((-214)/144 + (-138)/(-368)). Let -u*v + 2/5*v**3 + 0*v**2 - 4/5 = 0. What is v?
-1, 2
Let f = -47/2 + 25. Suppose 2*y = -0*y. Solve -f*s**2 - 3/2*s**4 + y*s + 0 + 3*s**3 = 0 for s.
0, 1
Let d(y) = y**3 - 46*y**2 + 88*y + 14. Let u be d(44). Let s(t) be the first derivative of -8/7*t**4 + 0*t + 0*t**2 + 4/7*t**3 - 12/35*t**5 + u. Factor s(v).
-4*v**2*(v + 3)*(3*v - 1)/7
Let l be