 = 0.
0, 1
Let g = 945 - 1887/2. Solve -3/2*t**2 + 3/2*t**3 - g*t + 3/2 = 0.
-1, 1
Let i(z) = 3*z**2 + 2*z + 7. Let t = -16 + 21. Let q(j) = -4*j**2 - 2*j - 8. Let u(a) = t*i(a) + 4*q(a). Determine l so that u(l) = 0.
-1, 3
Factor 7/4*a**2 + 0 + 5/4*a**3 + 1/2*a.
a*(a + 1)*(5*a + 2)/4
Let a(c) = -c**2 + c + 5. Let z be a(0). Let n = 7 - z. Determine h, given that -18*h**3 + 64/9*h - 10*h**n - 8/9 = 0.
-1, 2/9
Let y(p) = -2*p**3 - 4*p + 4. Let m(s) be the first derivative of -3*s**4/4 - 5*s**2/2 + 5*s + 4. Let b(u) = 4*m(u) - 5*y(u). Factor b(h).
-2*h**3
Let z(t) be the third derivative of 1/180*t**6 + 1/45*t**5 - 2/9*t**3 + 2*t**2 + 0 - 1/36*t**4 + 0*t. Suppose z(a) = 0. What is a?
-2, -1, 1
Let p = 109 - 273/2. Let a = -27 - p. Factor -a*r**2 - 1/4*r + 0 - 1/4*r**3.
-r*(r + 1)**2/4
Let c be (0/(2/2))/(-2). Let z(t) = t**2 - 8*t - 6. Let q be z(9). What is r in q*r - 5*r + c*r**2 + r**2 = 0?
0, 2
Let a = -2 + 4. Let x be 2/3*(-6)/(-1). Factor b**2 - 6*b**x + a*b**5 + 7*b**2 + 0*b**5.
2*b**2*(b - 2)**2*(b + 1)
Suppose 0 = 6*s - s + 4*w + 8, 2*s - 4*w = 8. Let k(q) be the third derivative of 0 - 4/9*q**3 + s*q - 4*q**2 - 121/90*q**5 - 11/9*q**4. Factor k(b).
-2*(11*b + 2)**2/3
Let k = 18 - 13. Factor -k + w**3 + 4 + 1.
w**3
Let j(z) be the first derivative of 0*z**4 - z**2 + 0*z - 1/360*z**6 + 1/180*z**5 + 1 + 0*z**3. Let r(q) be the second derivative of j(q). Factor r(i).
-i**2*(i - 1)/3
Let t(u) be the first derivative of -u**6/36 + u**5/15 + u**4/12 - 4*u**3/9 + 7*u**2/12 - u/3 + 18. Factor t(d).
-(d - 1)**4*(d + 2)/6
Let a(x) = -x**2 + 5*x. Let l be a(5). Solve l*u**2 - u**3 + 3 - 2 + u + u**2 - 2*u**2 = 0.
-1, 1
Let u(l) = 8*l**3 + 18*l**2 - 2*l - 18. Let n(x) = -9*x**3 - 19*x**2 + x + 19. Let y(s) = -3*n(s) - 4*u(s). Factor y(v).
-5*(v - 1)*(v + 1)*(v + 3)
Let f(b) = b**2 + 6*b - 1. Let j be f(-5). Let k be ((-1)/(-2))/((-1)/j). Factor k*y**5 + y**5 - 2*y**5.
2*y**5
Let p(j) be the third derivative of -j**5/360 - j**4/144 + j**3/18 + 5*j**2. Determine i so that p(i) = 0.
-2, 1
Let l(v) be the third derivative of v**7/3360 - v**6/360 + v**5/160 + v**3/6 - 3*v**2. Let f(t) be the first derivative of l(t). Suppose f(i) = 0. Calculate i.
0, 1, 3
Let f = -10/29 + 88/87. Let q be 3/1 + -2 + 1. Let 4/3*p + 2/3 + f*p**q = 0. Calculate p.
-1
Factor 5 + 3 - 12*k + 5*k**2 - 25*k**2.
-4*(k + 1)*(5*k - 2)
Let n(f) be the third derivative of 0*f - 5/44*f**4 + 0 - 7/330*f**5 - 3/11*f**3 + 2*f**2 - 1/660*f**6. Factor n(c).
-2*(c + 1)*(c + 3)**2/11
Suppose 18 = i + 60. Let u be (3/i)/((-4)/32). Let -2/7*t**2 - u*t - 2/7 = 0. What is t?
-1
Suppose -3*d + 5*d = -2. Let g = 4 + d. Determine s, given that -5*s**2 + 2*s + 3*s**3 + 2 + 3*s**2 - 5*s**g = 0.
-1, 1
Find z such that 9*z**2 + 6*z**3 + 3/2*z**4 + 3/2 + 6*z = 0.
-1
Factor 0 - 1/5*x + 1/5*x**2.
x*(x - 1)/5
Let 3/5*d**2 + 33/5*d + 6 = 0. What is d?
-10, -1
Let p(q) = q**2 + 5*q - 1. Let o(b) = 5*b**2 + 21*b - 5. Let i(v) = -2*o(v) + 9*p(v). Let l(f) = -4*f**2 + 12*f + 3. Let s(r) = -22*i(r) + 6*l(r). Factor s(d).
-2*(d - 2)*(d - 1)
Suppose -2*r + 2 = -r. Let b(c) be the second derivative of -1/16*c**4 + c + 1/4*c**3 + 0*c**r + 0. Factor b(f).
-3*f*(f - 2)/4
Let u be (-55)/(-132)*4*(-6)/(-8). Factor 0 + 1/2*t + 9/4*t**3 + 7/4*t**2 + 1/4*t**5 + u*t**4.
t*(t + 1)**3*(t + 2)/4
Let p(t) be the third derivative of -t**6/40 - 3*t**2. Factor p(u).
-3*u**3
Let b be 1/((-1)/(4/1)). Let o = b + 12. Suppose 2*c - 16*c**4 + o*c**3 - 20*c**3 - 8*c**5 + 2*c**5 = 0. What is c?
-1, 0, 1/3
Let q be (42/9)/((-4)/(-18)). Suppose -4*c + q = -3*c. Let -2 - 2 - 28*i**3 + 24*i + 0 - c*i**2 - 21*i**3 = 0. What is i?
-1, 2/7
Let m(g) = -g + 13. Let s be m(6). Suppose -s - 12 = -5*p - 3*w, 3*p = -5*w + 21. Factor 2 - 3*t + 0*t**p + 2*t**2 - t**2.
(t - 2)*(t - 1)
Let x(n) = -n**2 + 9*n + 2. Let z(d) = -6*d**2 + 63*d + 15. Let o(w) = -27*x(w) + 4*z(w). Let o(y) = 0. What is y?
-2, -1
Factor 14*p - 37*p + 16*p**4 - 48*p**3 + 36*p**2 + 15*p.
4*p*(p - 2)*(2*p - 1)**2
Factor 3*k**2 + 2/3 + 1/3*k**4 - 7/3*k - 5/3*k**3.
(k - 2)*(k - 1)**3/3
Let v(b) be the third derivative of -b**5/12 - 5*b**4/4 + 35*b**3/6 - b**2 + 9*b. Factor v(m).
-5*(m - 1)*(m + 7)
Let b be -3*(3 - (-33)/(-9)). Determine t, given that -12*t**2 + 15*t**b - 1 + 0 - 2 = 0.
-1, 1
Suppose 4*l - u - 4 - 1 = 0, 0 = 5*l - 2*u - 4. Factor 6 + 2*w**2 - 4*w**l + 0*w + 4*w.
-2*(w - 3)*(w + 1)
Let a(l) be the second derivative of 7*l**6/10 + 9*l**5/5 + 3*l**4/4 - l**3 + 3*l. Factor a(p).
3*p*(p + 1)**2*(7*p - 2)
Let i(j) be the second derivative of 49*j**6/6 + 56*j**5 + 1315*j**4/12 + 250*j**3/3 + 30*j**2 - 4*j + 1. Factor i(b).
5*(b + 1)*(b + 3)*(7*b + 2)**2
Let p(x) be the third derivative of x**9/120960 + x**8/40320 - 2*x**5/15 - 5*x**2. Let n(z) be the third derivative of p(z). Factor n(t).
t**2*(t + 1)/2
Let o(a) be the second derivative of a**7/98 - 3*a**5/70 + a**3/14 - 2*a + 5. Factor o(k).
3*k*(k - 1)**2*(k + 1)**2/7
Let o(g) be the second derivative of 3*g**4/16 - g**3/4 + g**2/8 + 8*g. Factor o(l).
(3*l - 1)**2/4
Let 3*u**4 - 8*u**2 + 15*u**2 + 2*u**3 + 4*u**3 - 4*u**2 = 0. What is u?
-1, 0
Let o(z) = 13*z**3 + 7*z**2 - 6*z - 7. Let k(w) = -6*w**3 - 3*w**2 + 3*w + 3. Let d(u) = -7*k(u) - 3*o(u). Suppose d(l) = 0. What is l?
-1, 0, 1
Suppose -x - 9*x = 8*x. Let m(o) be the first derivative of -3 - 2/7*o**2 - 22/21*o**3 + x*o. Factor m(g).
-2*g*(11*g + 2)/7
Let r = -25 + 30. Let f(s) be the second derivative of -s**3 + 0 - 2*s - 1/10*s**r - s**2 - 1/2*s**4. Factor f(i).
-2*(i + 1)**3
Let z = 6 + -4. Factor 6*g - g**2 - 2*g + 0*g - g**2 - z*g**3.
-2*g*(g - 1)*(g + 2)
Let q(g) = 4*g**3 + 27*g**2 - 238*g + 724. Let j(m) = -3*m**3 - 27*m**2 + 239*m - 725. Let k(u) = -5*j(u) - 4*q(u). Factor k(p).
-(p - 9)**3
Factor 11/3 + 10/3*p - 1/3*p**2.
-(p - 11)*(p + 1)/3
Let n(q) be the first derivative of 5/3*q**2 + 3 + 20/9*q**3 + 5/3*q**4 + 1/9*q**6 + 2/3*q**5 + 2/3*q. Suppose n(g) = 0. What is g?
-1
Let i(h) be the third derivative of -2*h**2 + 0 + 0*h + 1/60*h**5 - 1/12*h**4 + 1/6*h**3. Solve i(c) = 0.
1
Let x(v) = -v + 8. Suppose 9 = 3*c - 5*z, 5*c + 2*z - 60 = -14. Let r be x(c). Let 0 - 1/2*n**2 + r*n = 0. What is n?
0
Let q = 137/635 + -2/127. Let b(s) be the first derivative of 1 + 1/5*s**2 - q*s**3 + 0*s. Suppose b(z) = 0. What is z?
0, 2/3
Suppose 28/15*a + 98/15*a**2 + 2/15 = 0. What is a?
-1/7
Let h be -10 + 148*7/98. Factor 0 - h*s - 2/7*s**2 + 2/7*s**3.
2*s*(s - 2)*(s + 1)/7
Let l be 6*((-4)/(-34) + (-224)/9996). Factor -12/7*w - 8/7 - l*w**2.
-4*(w + 1)*(w + 2)/7
Factor 8/5 - 4/5*p - 4/5*p**2.
-4*(p - 1)*(p + 2)/5
Suppose -g + 3*s = -0*s + 3, 0 = 2*g + s - 15. Let l be (-29)/(-3) + (-2)/g. Factor 2*p**4 + 0*p**2 + l*p**5 + 0*p - 4/3*p**3 + 0.
2*p**3*(2*p + 1)*(7*p - 2)/3
Let r(m) be the third derivative of -m**8/672 + m**7/280 + m**6/240 + 7*m**2. What is p in r(p) = 0?
-1/2, 0, 2
Let r be 24/(-18) + (-32)/(-24). Solve 3/5*m**2 - 3/5*m**3 - 1/5*m + r + 1/5*m**4 = 0 for m.
0, 1
Let b(t) = -7*t**2 - 18*t + 19. Let i(z) = 3*z**2 + 9*z - 9. Let s(x) = 4*b(x) + 9*i(x). Let j be s(8). Factor 3*n**3 - 2 + 2*n**2 - 3*n**j - 2*n**3 + 2*n.
-2*(n - 1)**2*(n + 1)
Suppose -5*b - 5*z = 0, -3*z - 27 + 3 = -5*b. Factor 0 - s**2 + s + 1/4*s**b.
s*(s - 2)**2/4
Let o(h) be the first derivative of -h**7/245 + h**6/420 - h**2 + 1. Let a(d) be the second derivative of o(d). Find x, given that a(x) = 0.
0, 1/3
Let k(n) be the third derivative of -n**5/100 - n**4/40 + n**3/5 - 11*n**2. Factor k(y).
-3*(y - 1)*(y + 2)/5
Let f(v) be the second derivative of 0*v**2 + 0 + 1/30*v**5 - 1/54*v**4 + 8*v - 2/27*v**3. What is k in f(k) = 0?
-2/3, 0, 1
Factor 24/11*z**2 + 6/11 - 20/11*z - 12/11*z**3 + 2/11*z**4.
2*(z - 3)*(z - 1)**3/11
Let a = -657 + 4605/7. Let -a*v - 4/7 - 2/7*v**2 = 0. What is v?
-2, -1
Let w be 1/(45/10 + -4). Let x(i) be the second derivative of 1/27*i**3 + 2*i + 0 + 1/54*i**4 + 0*i**w. Factor x(y).
2*y*(y + 1)/9
Let n(r) = 9*r**2 + 17*r + 8. Let x(m) = -2*m + 1. Let c be x(3). Let d(y) = -5*y**2 - 9*y - 4. Let a(s) = c*d(s) - 3*n(s). Suppose a(w) = 0. What is w?
-2, -1
Let a = 1263 - 1260. Determine z, given that -1 + 17/6*z + 1/2*z**a - 7/3*z**2 = 0.
2/3, 1, 3
Let y(s) be the second derivative of 3*s**6/200 + s**5/50 - 3*s**4/40 - s**3/5 + s**2/2 - 4*s. Let f(t) be the first 