
Let l(f) = -51*f**2 + 69*f + 21. Let i(x) = -5*x**2 + 7*x + 2. Let b(y) = -21*i(y) + 2*l(y). Solve b(j) = 0.
0, 3
Suppose 3*f + 15 = -2*x, 3*x + 5*f + 18 = -7. Let j(r) be the second derivative of x - 1/3*r**3 - 1/6*r**4 + 0*r**2 + r. Suppose j(s) = 0. What is s?
-1, 0
Let r = -2 - 0. Let c be -3*(0/r - 1). Let f(q) = -11*q**2 - 14*q - 3. Let t(p) = 4*p**2 + 5*p + 1. Let v(x) = c*f(x) + 8*t(x). Find b, given that v(b) = 0.
-1
Let v(l) be the third derivative of -1/180*l**5 + 0 - 1/72*l**4 - l**2 + 0*l + 0*l**3. Find t, given that v(t) = 0.
-1, 0
Suppose 0*v + 10 = -5*v. Let r be ((-1)/((-5)/(-4)))/v. Solve -2/5*w**3 + 0*w**2 + r*w + 0 = 0 for w.
-1, 0, 1
Suppose -5*u + 1 - 11 = 0. Let q be 0*2/12*u. Factor q + 1/4*l**2 - 1/4*l.
l*(l - 1)/4
Let a = -29 - -32. Suppose -a*w + 12 = 6. Solve -2/7*v - 2/7*v**w + 0 = 0.
-1, 0
Let l(r) be the third derivative of 23/60*r**5 + 2/3*r**3 + 5/6*r**4 + 7/120*r**6 + 0*r - 3*r**2 + 0. Factor l(s).
(s + 1)*(s + 2)*(7*s + 2)
Suppose 3/4*r**2 + 0 + 3/2*r - 3/4*r**3 = 0. What is r?
-1, 0, 2
Let v(s) be the second derivative of -s**7/900 - s**6/150 + s**5/75 + s**4/6 + s. Let a(h) be the third derivative of v(h). Let a(p) = 0. Calculate p.
-2, 2/7
Let i(h) be the second derivative of 2*h**5/5 + h**4/3 - 4*h**3/3 - 2*h**2 - 4*h. Find d such that i(d) = 0.
-1, -1/2, 1
Let r(n) be the third derivative of 1/18*n**4 + 0*n + 1/90*n**5 + 5*n**2 + 0 + 1/9*n**3. Determine k so that r(k) = 0.
-1
Let u be 1/(138/1)*64. Let f = u + -3/23. Factor -1/3*y**3 - y - y**2 - f.
-(y + 1)**3/3
Suppose 25*x = 22 + 28. Factor 1/2*l - 1/2*l**x - 1/2*l**3 + 1/2.
-(l - 1)*(l + 1)**2/2
Let f(b) = 3*b**2 + b - 4. Let c(q) = -q**2 + 8*q - 1. Let v be c(8). Let j(i) = -i**2 + i. Let a(l) = v*j(l) - f(l). Factor a(d).
-2*(d - 1)*(d + 2)
Let c(d) be the third derivative of -d**7/280 + d**6/60 + d**5/40 - d**4/4 + d**3/3 + 3*d**2. Let u(f) be the first derivative of c(f). Factor u(s).
-3*(s - 2)*(s - 1)*(s + 1)
Let z = 596 + -591. Factor 0*t + 0*t**2 - 1/2*t**3 + t**4 + 0 - 1/2*t**z.
-t**3*(t - 1)**2/2
Let d(q) be the first derivative of -1/30*q**6 + 1 + 1/10*q**2 + 0*q**4 + 2/25*q**5 - 2/15*q**3 + 0*q. Solve d(h) = 0 for h.
-1, 0, 1
Factor 16*h - 10*h**3 + 4*h**4 - h**2 - 16 + 13*h**2 - 2*h**3 - 4*h**3.
4*(h - 2)**2*(h - 1)*(h + 1)
Let r(z) be the first derivative of -z**9/9072 + z**8/1680 - z**7/840 + z**6/1080 + z**3 - 2. Let m(o) be the third derivative of r(o). Factor m(l).
-l**2*(l - 1)**3/3
Factor 50/9 - 8/9*o**3 - 10*o + 16/3*o**2.
-2*(o - 1)*(2*o - 5)**2/9
Let o(m) be the second derivative of -3*m**5/160 + m**3/16 - 5*m. Factor o(v).
-3*v*(v - 1)*(v + 1)/8
Suppose 0 = 4*l - 5 - 15. Let i(v) be the first derivative of 2 + 0*v**4 + 2/9*v**3 - 1/3*v - 1/15*v**l + 0*v**2. Let i(d) = 0. Calculate d.
-1, 1
Let r(k) be the first derivative of -1/120*k**6 - 2*k - 1/40*k**5 + 1/12*k**3 + 0*k**4 + 1/8*k**2 + 1. Let c(w) be the first derivative of r(w). Factor c(l).
-(l - 1)*(l + 1)**3/4
Let b(z) be the second derivative of -z**9/3780 + z**8/840 - z**6/90 + z**5/30 - z**4/12 - 7*z. Let a(w) be the third derivative of b(w). Factor a(x).
-4*(x - 1)**3*(x + 1)
Let n be (-199)/(-45) - ((-1022)/(-63) + -16). Solve 21/5*d + 33/5*d**2 - 36/5*d**4 - n*d**3 + 3/5 = 0.
-1, -1/3, -1/4, 1
Solve 0*d**2 - 3/2*d - 3/4 + 3/2*d**3 + 3/4*d**4 = 0.
-1, 1
Suppose -2*d = -2*q, -3*d - 2*d + 2*q - 15 = 0. Let z be (-4)/(-3) + d + 4. Find l, given that -1/3*l + 0 - z*l**2 = 0.
-1, 0
Let x = 2050/4653 - -2/517. Find g, given that x*g + 0 - 2/3*g**2 = 0.
0, 2/3
Let j(k) be the second derivative of k**4/18 + 10*k**3/9 + 25*k**2/3 + 15*k. Factor j(d).
2*(d + 5)**2/3
Let p(g) be the second derivative of -g**6/420 + g**5/210 - g**2 - g. Let z(u) be the first derivative of p(u). Factor z(c).
-2*c**2*(c - 1)/7
Let s = -7 - -12. Suppose 5*m + w - 7 = 6, -s*m - 2*w = -16. Determine i, given that -6*i**3 + 6*i**m + 6*i**5 + 4 - 4 - 4*i**4 - 2*i**2 = 0.
-1, 0, 2/3, 1
Let h(l) be the second derivative of 0*l**2 - 1/24*l**4 + 0 + 0*l**3 + 2*l. Find t, given that h(t) = 0.
0
Suppose z - 4 = 0, -4*z - 5 = -3*p - 0. Let i = 9 - p. Find h, given that -2*h**4 + 2/3*h**5 + 4/3*h**3 + 4/3*h**i + 2/3 - 2*h = 0.
-1, 1
Determine h, given that 1/7*h - 2/7 + 1/7*h**2 = 0.
-2, 1
Suppose 2*w + 2*m = m + 11, -27 = -4*w - 3*m. Let o(x) be the first derivative of 1/3*x - 1/12*x**4 - 3 - 1/2*x**2 + 1/3*x**w. Determine c so that o(c) = 0.
1
Let x(l) = 5*l**3 - 3*l**2 - 3*l + 4. Let b(z) = z**3 - z**2 - z + 1. Let f(q) = -4*b(q) + x(q). Let g(a) = 4*a**3 + 2. Let d(u) = 2*f(u) - g(u). Factor d(m).
-2*(m - 1)**2*(m + 1)
Let m(g) be the third derivative of -g**5/420 + g**4/28 - 4*g**3/21 - 17*g**2. Determine i, given that m(i) = 0.
2, 4
Solve 0 - 3/7*y + 3/7*y**2 = 0.
0, 1
Factor 12*v - 28 + 3 + 7 - 2*v**2.
-2*(v - 3)**2
Find s such that 0*s**2 - 1/2*s**3 - 1/2*s**5 + 0*s + 0 - s**4 = 0.
-1, 0
Let x(b) be the second derivative of b**5/4 - 25*b**4/12 + 5*b**3/2 + 45*b**2/2 - 21*b. Factor x(q).
5*(q - 3)**2*(q + 1)
Suppose -4*u**3 + 21*u**4 + 21*u**4 - 49*u**4 = 0. What is u?
-4/7, 0
Suppose 0 = -w - 0 + 6. Let u(f) be the first derivative of -2/9*f**w + 0*f + 1/2*f**4 - 1/3*f**2 + 2/15*f**5 - 2 - 2/9*f**3. Find i, given that u(i) = 0.
-1, -1/2, 0, 1
Let d be 3/(-8)*(-220)/(-12). Let p = d + 621/88. Factor -2/11*k**5 + p + 2/11*k**4 + 4/11*k**3 - 4/11*k**2 - 2/11*k.
-2*(k - 1)**3*(k + 1)**2/11
Let r = -306 + 1225/4. Suppose -r + 0*k + 1/4*k**2 = 0. What is k?
-1, 1
Factor -10/7*y + 2/7*y**5 + 8/7*y**3 - 4/7 - 4/7*y**2 + 8/7*y**4.
2*(y - 1)*(y + 1)**3*(y + 2)/7
Suppose 9 = -0*i + 3*i. Suppose 5*t + 3*x = 0, 2*t = -i*x - 0*x. Find u, given that -2/5*u**2 - 4/5*u**3 + 0*u - 2/5*u**4 + t = 0.
-1, 0
Let l = 60/11 - 376/77. What is r in 0*r**4 + 2/7*r**5 + 0 + 2/7*r + 0*r**2 - l*r**3 = 0?
-1, 0, 1
Let i(q) be the first derivative of -22*q**3/15 + 13*q**2/5 - 4*q/5 + 1. Let i(m) = 0. What is m?
2/11, 1
Let q(s) be the second derivative of -1/20*s**5 - 1/3*s**2 + 1/36*s**4 + 1/6*s**3 + 2*s + 0 + 1/90*s**6. Factor q(u).
(u - 2)*(u - 1)**2*(u + 1)/3
Let m = 67/30 - 11/5. Let d(l) be the third derivative of 1/210*l**7 + 0*l**4 - m*l**5 + 0*l + 1/6*l**3 + 0 + 0*l**6 - l**2. Find b, given that d(b) = 0.
-1, 1
Let h(j) be the third derivative of -j**5/90 + j**3/9 + 10*j**2. Factor h(k).
-2*(k - 1)*(k + 1)/3
Let l(i) be the first derivative of -3*i**7/280 - i**6/12 - 3*i**5/40 + 2*i**3 + 9. Let m(n) be the third derivative of l(n). Factor m(k).
-3*k*(k + 3)*(3*k + 1)
Let q(i) be the third derivative of i**8/1008 + i**7/63 + 13*i**6/120 + 37*i**5/90 + 17*i**4/18 + 4*i**3/3 - 19*i**2. Solve q(z) = 0.
-3, -2, -1
Let y(h) = h**3 - 11*h**2 - 14*h + 26. Let l be y(12). Let b(f) be the first derivative of -2 - 12/7*f**l - 4/7*f**3 - 16/7*f - 1/14*f**4. Factor b(p).
-2*(p + 2)**3/7
Factor 0*n**3 - 1/7*n**2 + 0*n + 1/7*n**4 + 0.
n**2*(n - 1)*(n + 1)/7
Let i be 24/(-3) - 2 - 0. Let x(n) = n**2 + 10*n + 2. Let u be x(i). Suppose 5/2*z + 0*z**u + z**4 - 1 - 5/2*z**3 = 0. What is z?
-1, 1/2, 1, 2
Let n(z) be the third derivative of -z**6/1260 + z**5/105 - z**4/21 + z**3/3 - 2*z**2. Let y(r) be the first derivative of n(r). Solve y(a) = 0 for a.
2
Let z(o) be the first derivative of 2*o**5/75 - 4*o**3/15 + 8*o**2/15 - 2*o/5 - 12. Factor z(q).
2*(q - 1)**3*(q + 3)/15
Let l be -2 - ((-981)/360 - 1/(-8)). Solve -3*g**3 - 12/5*g**4 + 0 - l*g**2 + 0*g = 0.
-1, -1/4, 0
Let x(b) = 3*b**3 - 5*b**2 - 4*b - 4. Let a = 6 + -3. Let p(s) = s - s**a + 2*s**2 - 2 - s**2 + 3. Let r(h) = 4*p(h) + x(h). Factor r(c).
-c**2*(c + 1)
Let f be (51/27)/(-1)*-3. Let n = f - 5. Factor n*r**4 - 4/3*r + 4/3*r**3 - 2/3 + 0*r**2.
2*(r - 1)*(r + 1)**3/3
Suppose n - 7 = -4*k + 22, 0 = -2*n + 2. Let y(c) = 10*c - c - k + 0 - 11*c**2. Let p(x) = 5*x**2 - 4*x + 3. Let l(r) = -9*p(r) - 4*y(r). Solve l(m) = 0.
-1, 1
Let d = 125 - 121. Determine i, given that d*i**3 - 4/3*i**5 - 14/3*i**2 + 2/3*i**4 + 4/3*i + 0 = 0.
-2, 0, 1/2, 1
Suppose -4*u + 69 + 106 = -5*c, -c - 59 = 4*u. Let q be ((-2)/(-14))/(c/(-91)). Factor -3*v**2 - 5/3*v - 2/3*v**4 - q - 7/3*v**3.
-(v + 1)**3*(2*v + 1)/3
Let s(v) be the second derivative of v**7/21 + v**6/15 - v**5/5 - v**4/3 + v**3/3 + v**2 - 4*v. Let s(f) = 0. What is f?
-1, 1
Let t(y) be the third derivative of y**5/80 - 3*y**4/32 - y**3/2