 -1/2, 1
Suppose 4*l = -80 + 96. Determine i, given that -3*i**4 - 6*i**4 - i**l - 5*i + 10*i**2 + 5*i**5 = 0.
-1, 0, 1
Suppose 2*w - 3 = 4*v + 29, 5*v + 26 = -w. Find n such that 0 + 1/5*n**w + 0*n + 0*n**2 - 1/5*n**3 = 0.
0, 1
Solve 17/8*l**2 - 27/8*l + 9/8 + 3/8*l**3 - 1/4*l**4 = 0.
-3, 1/2, 1, 3
Let w be (6/(-27))/(-1) + (-32)/(-1008)*-7. Find a, given that w - 2/19*a**3 - 2/19*a**2 + 0*a = 0.
-1, 0
Let z(g) be the third derivative of -g**5/80 - 9*g**4/16 - 17*g**3/8 - 12*g**2. Factor z(f).
-3*(f + 1)*(f + 17)/4
Suppose 160*r**2 + 82*r - 21*r**3 - 35 - 2*r + 35 - 24*r**3 = 0. What is r?
-4/9, 0, 4
Let z = -948 + 951. Let y(x) be the first derivative of 0*x**z - 1/3*x**4 - 2/15*x**5 + 1/9*x**6 - 9 + 0*x**2 + 0*x. Determine o, given that y(o) = 0.
-1, 0, 2
Suppose -3*g = 3*n - 8*n + 21, -2*n + 4*g = 0. Let x be (-30)/252 + 0 + n/21. Factor 0*i**2 - 1/6*i**3 + 0 + x*i.
-i*(i - 1)*(i + 1)/6
Let i = -614 + 305. Let o = i - -2169/7. Solve -8/7*r**3 + 4/7*r**5 - 6/7*r**2 + 4/7*r + o*r**4 + 0 = 0 for r.
-2, -1, 0, 1/2, 1
Let n be (6/3 - 5)*-1. Factor 6 + o**2 - n - 151*o + 71*o + 76*o.
(o - 3)*(o - 1)
Let w(j) be the second derivative of -j**6/10 + 3*j**5/20 + 2*j**4 - 6*j**3 - 75*j. Factor w(b).
-3*b*(b - 2)**2*(b + 3)
Let l(y) = y**2 + 19*y + 24. Let f(n) = 9*n + 12. Let v(u) = -5*f(u) + 3*l(u). Factor v(w).
3*(w + 2)**2
Suppose -q = -4*v - 12, -3*q + 13*v = 8*v - 22. Suppose 2*u + n + 4 = 10, 2*n = q*u - 20. Solve 0 + 2/7*p + 2/7*p**u + 6/7*p**3 + 6/7*p**2 = 0 for p.
-1, 0
Let b(v) be the third derivative of -v**6/40 + v**5/30 + 5*v**4/24 - 2*v**3/3 - 2*v**2 + 8. Solve b(a) = 0.
-4/3, 1
Let w(c) be the first derivative of 3*c**4/2 - 4*c**3/3 + 4*c**2 - 9. Let j(o) = o**3 + o. Let h(m) = -5*j(m) + w(m). Solve h(b) = 0.
0, 1, 3
Let q(g) = 7 + 2*g - 2 + 8*g**2 + g - 10*g**2. Let v(h) be the second derivative of h**4/12 - h**3/2 - 2*h**2 + 3*h. Let a(z) = -4*q(z) - 5*v(z). Factor a(s).
3*s*(s + 1)
Suppose -4*m + 11 = -2*m + 5*i, -m = 2*i - 5. Let r be m/(-6)*(-4)/3. Find w such that 2/3*w**4 + 2/9*w**2 + r*w**3 + 2/9*w**5 + 0*w + 0 = 0.
-1, 0
Let m(j) be the second derivative of 1/6*j**3 + 0*j**2 - 1/30*j**5 + 0 - 1/126*j**7 + 1/9*j**4 + 13*j - 2/45*j**6. Suppose m(o) = 0. What is o?
-3, -1, 0, 1
Let k(t) = -6*t**3 + 9*t + 3. Let l(z) = -3*z**3 + 5*z + 2. Let b(o) = 4*k(o) - 9*l(o). Factor b(i).
3*(i - 2)*(i + 1)**2
Let j = 4 - -3. Suppose 3*t + j = 2*r - 3*r, -16 = 4*t. Solve -n**2 - 3*n**5 + 5*n**3 - r*n**2 + n**3 + 3 + 3*n**4 - 3*n = 0 for n.
-1, 1
Let t = -135 + 138. What is l in 14 + 4*l**2 - 14 - 4*l**t + 0 = 0?
0, 1
Let w(k) = -1 + 19 - 15 - 4 - 2*k**2 - 7 + 5*k. Let j(g) = -g**2 + 4*g - 7. Let l = 12 + -7. Let h(o) = l*j(o) - 4*w(o). Factor h(r).
3*(r - 1)*(r + 1)
Suppose 2*v - 21*v = -95. Let i(g) be the third derivative of g**2 + 0*g + 0*g**3 - 1/840*g**7 - 1/48*g**v + 0 - 1/120*g**6 - 1/48*g**4. Factor i(p).
-p*(p + 1)**2*(p + 2)/4
Let w(m) = m**4 - m**3 + m**2 - m - 1. Let u(g) = -35*g**4 + 141*g**3 + 323*g**2 - 253*g + 35. Let o(d) = -u(d) + 5*w(d). Suppose o(y) = 0. Calculate y.
-2, 1/4, 2/5, 5
Let h = 11 - 3. Let d(z) be the first derivative of -3*z**3 + h + 9/2*z**2 - 3*z + 3/4*z**4. Find j such that d(j) = 0.
1
Let a(f) be the third derivative of f**8/1008 + 2*f**7/105 - 2*f**2 + 69. Factor a(l).
l**4*(l + 12)/3
Suppose 0 = 2*t - 9 - 1. Factor -9*r + 13*r + t*r**2 - r**2.
4*r*(r + 1)
Let f(n) = -2*n - 4. Let s be f(-8). Suppose 26 + 70*k**2 + 18 - 100*k - 15*k**3 + 8 - s = 0. What is k?
2/3, 2
Let k(a) be the first derivative of -9 + 3/5*a**2 - 1/5*a**3 - 3/5*a. Determine p so that k(p) = 0.
1
Let w(a) = -a**2 - 14*a - 7. Let d(k) = 2*k**2 + 29*k + 12. Let h(g) = 4*d(g) + 10*w(g). Suppose h(r) = 0. Calculate r.
-11, -1
Let n(q) be the third derivative of q**9/28728 - q**7/2660 - q**6/1710 - 23*q**3/6 + 24*q**2. Let s(h) be the first derivative of n(h). Factor s(d).
2*d**2*(d - 2)*(d + 1)**2/19
Suppose 2*c - 4*i + 4 = 0, 0*c + 5*c = 3*i + 18. Let f(n) = n**3 - 5*n**2 - n + 7. Let q be f(5). Determine x so that 2*x**2 - c*x**q - 2*x**3 + 0 + 0 = 0.
-2, 0
Let u = 1/63 - -17/252. Let p(d) be the second derivative of -1/24*d**4 + 0 + 0*d**2 - 2*d + u*d**3. Factor p(i).
-i*(i - 1)/2
Let x(o) = 4*o**3 - o**2 + 7*o. Let i(h) = -h**3 - h**2 - h. Let v(c) = 6*i(c) + 2*x(c). Factor v(a).
2*a*(a - 2)**2
Let l(f) = -11*f + 68. Let d be l(6). Let j(r) be the first derivative of r**4 - 2 + 11/12*r**3 + 0*r + 1/4*r**d + 7/20*r**5. Solve j(y) = 0.
-1, -2/7, 0
Let n be 3/(-21) - 45/(-21). Let a(q) be the first derivative of 1/5*q**4 - 2/5*q - 2 + 4/5*q**n - 2/3*q**3. Factor a(y).
2*(y - 1)**2*(2*y - 1)/5
Let n be (8/(-20))/(8/(-14)). Let k = -29/70 + n. Factor 4/7*g**2 - k*g + 2/7*g**3 - 4/7.
2*(g - 1)*(g + 1)*(g + 2)/7
Let h(k) = 2*k**2 + k + 2. Let w(g) be the second derivative of -1/3*g**4 - 5/2*g**2 + 0 + 6*g - 1/6*g**3. Let q(i) = -5*h(i) - 2*w(i). Factor q(s).
-s*(2*s + 3)
Suppose -4*r + h + 11 = 0, 2*h - 10 = -2*r + 4*h. Factor 511*j - 510*j + 7*j**4 + 8*j**3 + 9*j**4 - 7*j**r.
j*(j + 1)*(4*j - 1)**2
Let p(n) be the second derivative of 51*n - 3/2*n**5 + 1/10*n**6 + 6*n**4 - 75/2*n**2 + 0 + 5*n**3. Factor p(l).
3*(l - 5)**2*(l - 1)*(l + 1)
Let y(t) be the third derivative of 0*t + 5/3*t**3 + 0 - 17*t**2 - 1/6*t**4 + 1/150*t**5. Factor y(q).
2*(q - 5)**2/5
Let h = -8649 + 8649. Factor -g**2 + h*g + 0 + 1/4*g**3.
g**2*(g - 4)/4
Let v(o) = 6*o + 1. Let d(s) = 2*s**2 + 76*s + 214. Let w(g) = d(g) - 4*v(g). Find n, given that w(n) = 0.
-21, -5
Let k(p) be the first derivative of p**4/4 + 56*p**3/3 + 392*p**2 + 71. Factor k(i).
i*(i + 28)**2
Let c(y) be the first derivative of 0*y**2 - 9 - 12/5*y + 1/5*y**3. Let c(g) = 0. What is g?
-2, 2
Let u(p) be the second derivative of p**4/3 - 8*p**3/3 + 6*p**2 - 12*p. Let u(j) = 0. Calculate j.
1, 3
Let d be 1/(-6) + 494/228. Suppose -2/5*o**3 + 16/5*o**d + 0 - 32/5*o = 0. Calculate o.
0, 4
Let x(t) be the second derivative of -5*t**7/49 - 9*t**6/70 + 93*t**5/140 + 47*t**4/28 + 15*t**3/14 - 3*t**2/7 - 14*t - 8. Suppose x(m) = 0. Calculate m.
-1, 1/10, 2
Let u(a) be the first derivative of -2*a**4/9 - 50*a**3/27 - a**2/9 + 20*a/3 + 72. Factor u(d).
-2*(d - 1)*(d + 6)*(4*d + 5)/9
Suppose -637*v = 5*r - 639*v - 12, -3*r = -2*v - 12. Find f such that r + 12/5*f - 2/5*f**2 = 0.
0, 6
Suppose -4*b + 8 = -0*b. Suppose 14*o**b + 2*o**3 + 29 + 16*o - 35 - 26 = 0. What is o?
-4, 1
Let a(m) = 2*m**4 - 87*m**3 + 15*m**2 + 5. Let j(i) = -i**4 + 90*i**3 - 14*i**2 - 6. Let o(v) = 6*a(v) + 5*j(v). Factor o(k).
k**2*(k - 10)*(7*k - 2)
Suppose 10*b - 11*b - 15 = -4*c, c = -4*b + 25. Let a be ((-4)/c + 1)*(-3 + 5). Factor -a*r + 2/5*r**2 - 4/5.
2*(r - 2)*(r + 1)/5
Let r be (-1 - -19)/(8/4). Suppose 0 = 2*s + 8, 3*c - 31 = s - r. Suppose -2*j**5 + c*j**2 - 3*j**4 - 4*j**2 + 2*j**3 + j**4 = 0. What is j?
-1, 0, 1
Let u(k) be the first derivative of -k + 8 + 3/2*k**4 - 1/5*k**5 - 1/2*k**6 - 3/2*k**2 + 2/3*k**3. Determine x so that u(x) = 0.
-1, -1/3, 1
Let w be 6/(-4) + (-117)/(-6). Find y, given that -w - 4*y + 2*y - 2*y**2 - y - 9*y = 0.
-3
Let a = -499 + 503. Let 0*m - 2/3*m**2 + 4/3*m**3 - 5/6*m**a + 1/6*m**5 + 0 = 0. What is m?
0, 1, 2
Let t(s) be the third derivative of 0*s**3 + 5/24*s**4 + 0*s + 11*s**2 + 0 - 1/6*s**5 + 1/24*s**6. What is p in t(p) = 0?
0, 1
Let r(d) be the first derivative of -5*d**4/3 + 26*d**3/3 + 12*d**2 + d + 9. Let v(x) be the first derivative of r(x). Let v(q) = 0. Calculate q.
-2/5, 3
Suppose -5*c = -5*z - 15, -2*c + 2*z = -2*z - 8. Let u be 3*((-23)/27 + 1). Factor 2/9*k**c - u*k**3 + 2/9*k + 0.
-2*k*(k - 1)*(2*k + 1)/9
Let p be (6 + -15 - -9)/(-5). Factor p*n - 4/3 + n**2 - 1/3*n**3.
-(n - 2)**2*(n + 1)/3
Suppose -2*o - 44 = -86. Suppose g + o = 23. Factor -7/3*k**3 - k + 4*k**g - 2/3.
-(k - 1)**2*(7*k + 2)/3
Let a = -1185326 - -763349787/644. Let f = 1/161 - a. Determine y so that -1/2*y + 1/4*y**2 + f = 0.
1
Factor -48*l - 24*l + 8*l - 3*l - 2*l**3 - 40*l**2 - 5*l.
-2*l*(l + 2)*(l + 18)
Suppose 4*d = 24 - 8. Find a such that -4*a**d + 5*a**3 - 2*a**2 - 6*a**2 + 7*a**3 = 0.
0, 1, 2
Let 75*c - 4*c**2 - 14 + 2 - 26*c - 33*c = 0. Calculate c.
1, 3
Suppose 20/13*a - 2/13*a**2 - 18/13 = 0. Calculate a.
1, 9
Suppose 6*j = -2*f + 5*j + 35, 5*f = 2*j + 101. What is g in -g - 15*g**2 + 8 - 4*g**4 - 