 Solve 0*r + 0*r**g + r**2 - 1/2 - 1/2*r**4 = 0.
-1, 1
Let t(b) = 2*b**2 + 2*b + 2. Let f be t(-1). Find o such that -110*o**3 - 4*o**f + 109*o**3 + 5*o + 2*o - 2*o = 0.
-5, 0, 1
Let p(f) be the first derivative of 0*f - 24 + 1/2*f**3 - 3/4*f**2. Suppose p(d) = 0. What is d?
0, 1
Factor 52*h**2 + 4*h**3 - 41*h + 35*h + 39*h + 55*h.
4*h*(h + 2)*(h + 11)
Let q(w) be the second derivative of -w**4/12 - 2*w**3/3 - 3*w**2/2 - 64*w. Factor q(r).
-(r + 1)*(r + 3)
Factor -8*j - 56 - 2/7*j**2.
-2*(j + 14)**2/7
Solve 18*c - 4*c + 180*c**5 + 228*c**3 - 30*c + 392*c**4 = 0.
-1, -2/5, 0, 2/9
Suppose 0*k**2 - 64*k - 2 - 4*k**2 + 26 + 35*k = 0. Calculate k.
-8, 3/4
Let a be 21/(-14)*-2*1. Suppose 5 + 25 = 6*z. What is w in 59 + 4*w**4 - 3*w**3 + 3*w**a - 32*w**2 + z = 0?
-2, 2
Suppose -3 = -5*a - 4*v, -5*a = -2*v - v - 24. Let r be (-24)/(-2)*1/3. Factor -3/8*y**5 + 9/8*y**r + 0*y**2 + 0*y + 0 - 3/4*y**a.
-3*y**3*(y - 2)*(y - 1)/8
Let b(q) be the second derivative of -2601*q**6/10 + 612*q**5 - 502*q**4 + 160*q**3 - 24*q**2 + 60*q. Factor b(a).
-3*(3*a - 2)**2*(17*a - 2)**2
Factor 1/6*a**5 + 0 + 0*a + 2/3*a**4 - 2/3*a**2 - 1/6*a**3.
a**2*(a - 1)*(a + 1)*(a + 4)/6
Suppose 2*a + 0*a - 8 = 0. Suppose -w - 4*v = 2 - 16, w = a*v - 10. Factor -9*g**2 - 3 + 6*g + 3*g**w + 0*g**2 + 3*g**2.
-3*(g - 1)**2
Let b(v) = 12*v**2 + 3*v - 12. Let z(m) = -2*m**2 + m. Let c(r) = 2*b(r) + 14*z(r). Factor c(n).
-4*(n - 3)*(n - 2)
Let z = 70 + -66. Suppose q + 4 + 8 = -4*w, 4*w = -z*q. Find v, given that 2/3*v**3 + 2/9*v**q - 4/9 + 2/9*v**2 - 2/3*v = 0.
-2, -1, 1
Factor -2/11*g**3 + 16/11*g**2 + 0*g + 0.
-2*g**2*(g - 8)/11
Let b be (-55)/22*(-36)/120. Solve -1/4 - b*n - 3/4*n**2 - 1/4*n**3 = 0 for n.
-1
Let q be (-2 + -2 - (0 - 0))*-2. Find w, given that -5*w**3 + 11*w**4 + 14*w**3 - q*w**4 + 6*w**2 = 0.
-2, -1, 0
Let u(y) = 4*y + 2. Let a be u(-2). Let w be ((-2)/a)/(11/132). Let -2 - 9*c - 8*c + 13*c + 4*c**3 + 2*c**w = 0. Calculate c.
-1, 1
Let p = 133/78 + -20/13. Let k(x) be the second derivative of x**3 - x + p*x**4 + 2*x**2 + 0. Determine s, given that k(s) = 0.
-2, -1
Find z, given that 4/9*z**2 + 14/3*z**3 + 0*z + 20/9*z**4 + 0 = 0.
-2, -1/10, 0
Let y be ((-48)/(-9))/(8/24). What is u in 60*u**2 - 2*u + 6*u**4 + 4 - 52*u**3 - 6*u**4 - 26*u + y*u**4 = 0?
1/4, 1
Solve 3/4*r**2 - 1/4*r**4 + 25/4*r - 9/2 - 9/4*r**3 = 0.
-9, -2, 1
Suppose -7*t + 4*t**3 - 4*t**4 - 3605*t**2 - 9*t + 3621*t**2 = 0. What is t?
-2, 0, 1, 2
Suppose 4*t - 3*a - 2*a - 3 = 0, 0 = 4*t - 4*a. Let h be (46/(-8) + 5)/t. Solve -1/4*d**2 + 0 - h*d = 0.
-1, 0
Let v(a) be the second derivative of -a**9/60480 - a**8/13440 - a**7/10080 - a**4/6 - 8*a. Let x(q) be the third derivative of v(q). Factor x(l).
-l**2*(l + 1)**2/4
Let q(p) = -4*p**3 - p**2 + 2*p - 4. Let t be q(-2). Let c = 102/5 - t. Determine k, given that c*k**2 + 32/5 - 16/5*k = 0.
4
Let b = -9 - -11. Suppose 0 = n, 3*z - b*n = -4*n + 9. Factor -5*a**4 + 4*a**3 + 2*a**3 - 4*a**2 + a**5 + 2*a**z.
a**2*(a - 2)**2*(a - 1)
Let g = -140 + 181. Suppose -36*d + g*d = 0. Let 1/5*b**3 - 2/5*b**2 + d + 0*b + 2/5*b**4 - 1/5*b**5 = 0. Calculate b.
-1, 0, 1, 2
Let z(k) be the third derivative of k**9/4032 + k**8/560 + k**7/224 + k**6/240 + 3*k**3/2 + 5*k**2. Let b(p) be the first derivative of z(p). Factor b(r).
3*r**2*(r + 1)**2*(r + 2)/4
Let x(u) be the first derivative of -u**4/18 + 14*u**3/27 - 10*u**2/9 - 46. Solve x(t) = 0 for t.
0, 2, 5
Let f(o) be the second derivative of o**7/84 + o**6/6 - 5*o**5/8 - 5*o**4/12 + 2*o**3 - 20*o - 1. Suppose f(l) = 0. Calculate l.
-12, -1, 0, 1, 2
Let p be (16/(-40))/(1/30*-2) + -6. Find x such that -8/3*x - 2/3*x**4 + 2/3*x**3 + 8/3*x**2 + p = 0.
-2, 0, 1, 2
Let s(g) = g**2 + 27*g + 55. Let n be s(-25). Suppose 3*w = -x - 12, -n*x - 12*w + 14*w + 25 = 0. Determine i, given that 3/2*i**x + 9/2*i**2 + 3*i + 0 = 0.
-2, -1, 0
Let t be 210/(-175) - 18/(-15). Suppose 0*x + t + 4/7*x**3 - 12/7*x**2 = 0. What is x?
0, 3
Let m(l) be the second derivative of -2*l**7/63 + 2*l**6/15 + 3*l**5/5 - 23*l**4/9 - 16*l**3/3 + 24*l**2 - 144*l. Determine y, given that m(y) = 0.
-2, 1, 3
Solve 0 - 10/3*j**3 + 2/3*j**4 - 2/3*j**2 + 10/3*j = 0 for j.
-1, 0, 1, 5
Let v = 11486 + -11483. Factor 2/3*a**4 + 2/3*a + 0 + 2*a**v + 2*a**2.
2*a*(a + 1)**3/3
Let k(o) = -o**2 + 3*o - 1. Let l be k(3). Let v be 0/2 + (7 - l). Factor 3*d**3 - 6 + 12*d**2 - 4*d**3 + 2*d**4 - 9*d**3 + v*d - 10.
2*(d - 2)**3*(d + 1)
Suppose -5*q - 3*f + 6 = 0, -257*q = -255*q + 4*f + 6. Find m, given that 8/9*m + 2/3*m**2 - 2/9*m**q - 8/3 = 0.
-2, 2, 3
Let c(v) be the first derivative of -v**4/60 + v**3/5 - 18*v + 6. Let r(m) be the first derivative of c(m). Factor r(b).
-b*(b - 6)/5
Let p(z) = 3*z**3. Let n(i) = 11*i**3 - 3*i**2 + 24*i - 28. Let l(j) = -3*n(j) + 12*p(j). Factor l(v).
3*(v - 2)**2*(v + 7)
What is d in 25*d + 70*d + 308*d**2 - 5*d**3 - 5195*d + 2*d**2 + 9000 = 0?
2, 30
Let -4*a + 1/4*a**2 + 7 = 0. Calculate a.
2, 14
Let a(l) = -l**3 - 31*l**2 - l - 52. Let r be a(-31). Let g = r - -23. Factor -1/3 - m - m**g - 1/3*m**3.
-(m + 1)**3/3
Let k = 17 - 14. Factor k*z**3 - 3*z**2 + z**3 - z**2 + 0*z**2.
4*z**2*(z - 1)
Let z be (-88)/15 + 7/(35/30). Let i(p) be the second derivative of 1/3*p**4 + z*p**6 + 0 + 0*p**3 + 0*p**2 + 2/5*p**5 - 2*p. Factor i(j).
4*j**2*(j + 1)**2
Let s be ((-10)/40)/((-11)/(-8) - 2). Let q(y) be the first derivative of 1 - 4/3*y**3 + s*y**5 + 0*y**4 + 2*y + 0*y**2. Let q(w) = 0. Calculate w.
-1, 1
Let i(k) be the second derivative of 5*k**6/42 - 53*k**5/28 - 109*k**4/84 - 11*k**3/42 + 2*k - 13. Solve i(f) = 0.
-1/5, 0, 11
Let h(p) = -5*p + 45. Let w be h(9). Let q be 4 + (-3)/(w - -3). Factor 1/2*v**2 + 0 - 1/2*v**4 + 1/2*v**q - 1/2*v.
-v*(v - 1)**2*(v + 1)/2
Let m(f) be the second derivative of -3/80*f**5 + 0 + 1/8*f**4 - f - 3*f**2 + 1/2*f**3. What is j in m(j) = 0?
-2, 2
Let q = 233 + -228. Let m(w) be the third derivative of 0*w + 0*w**3 - 2/15*w**q - 1/12*w**4 - w**2 - 1/20*w**6 + 0. Factor m(p).
-2*p*(p + 1)*(3*p + 1)
Determine x so that -3/4 - x - 1/4*x**2 = 0.
-3, -1
Let w be ((-8 - -5) + (-6)/20)*-2. Let v = 139/15 - w. Let 2/3*d**2 + 0 + 2/3*d - v*d**5 - 6*d**3 + 22/3*d**4 = 0. Calculate d.
-1/4, 0, 1
Factor -2/9*j**4 + 0*j**3 + 8/9*j**2 + 0 + 0*j.
-2*j**2*(j - 2)*(j + 2)/9
Let h(l) = -l**2 - 1. Let r(y) = -6*y**2 - 9*y - 3. Let j = -34 + 37. Suppose 6*q = j*q - 3. Let b(n) = q*r(n) + 9*h(n). Factor b(g).
-3*(g - 2)*(g - 1)
Factor 9/7*f**3 - 36/7*f + 3/7*f**2 - 12/7.
3*(f - 2)*(f + 2)*(3*f + 1)/7
Suppose -12*y + 192 = -9*y. Let h be (-8)/6*(-51 + -13). Factor h*b**2 + 12 - y*b.
4*(8*b - 3)**2/3
Let j(p) be the first derivative of -p**8/1120 + p**6/40 - p**5/10 + 3*p**4/16 + p**3/3 + 10. Let w(i) be the third derivative of j(i). Factor w(u).
-3*(u - 1)**3*(u + 3)/2
Factor -8*d**3 + 25*d + 12*d**3 - 30*d + 13*d**2 + 16*d + 2.
(d + 1)*(d + 2)*(4*d + 1)
Solve -3*i**4 - 12*i + 8*i**3 - 2*i**3 - 29268*i**2 - 12 + 29277*i**2 = 0 for i.
-1, 2
Let w(f) be the third derivative of -1/42*f**7 + 1/12*f**5 + 0 + 0*f**4 + 0*f**3 + 10*f**2 + 0*f**6 + 0*f. Factor w(u).
-5*u**2*(u - 1)*(u + 1)
Let w(b) = 2*b + 2. Let v be w(-2). Let q(r) = 0*r**2 + r - 2*r**2 + 5*r**2 + 1. Let o(t) = -1. Let j(p) = v*q(p) - 2*o(p). Factor j(c).
-2*c*(3*c + 1)
Let c(w) be the first derivative of 5 + 4*w + 0*w**3 + 1/6*w**4 - 4*w**2. Let m(y) be the first derivative of c(y). Factor m(a).
2*(a - 2)*(a + 2)
Let z(t) be the first derivative of -3*t**5/5 + 9*t**4 - 51*t**3 + 132*t**2 - 144*t - 98. Factor z(j).
-3*(j - 4)**2*(j - 3)*(j - 1)
Let 8*z + 8/3*z**2 + 0 - 2/3*z**3 = 0. Calculate z.
-2, 0, 6
Factor 91 - 47 + 113*u + 68 + 0*u**3 + 20*u**2 - 2*u**3 - 9*u.
-2*(u - 14)*(u + 2)**2
Let t(u) be the first derivative of -u**8/840 - u**7/420 + u**6/180 + u**5/60 + 11*u**3/3 - 1. Let z(c) be the third derivative of t(c). Factor z(p).
-2*p*(p - 1)*(p + 1)**2
Let m = 132 + -130. Let 131*s**4 + 11*s**m + 32*s**3 + 5*s**2 - 111*s**4 + 4*s**5 = 0. What is s?
-2, -1, 0
Let 9 + 8*p**2 + 20 + p**5 - 2*p**4 - 4*p**3 - 29 = 0. Calculate p.
-2, 0, 2
Let n(i) be the third derivative of i**7/70 - i**6/5 + 21*i**5/20 - 9*i**4/4 + 107*i**2. Let n(z) = 0. What is z?
0, 2, 3
Let d(h) be the third derivative of h**6/420 + h**5/30 + 5*h**4/42 + 396*h**2. What is z in d(z) = 0?
-5, -2, 0
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