**6/40 + 3*f**5/20 - 2*f**3 + f**2. Suppose x(y) = 0. What is y?
-1, 2
Factor 15/4*g**2 - 5*g + 5*g**3 - 5 + 5/4*g**4.
5*(g - 1)*(g + 1)*(g + 2)**2/4
Let u(a) = -32*a**3 + 5*a**2 - 7*a + 14. Let c(w) = -16*w**3 + 3*w**2 - 3*w + 6. Let m(o) = 7*c(o) - 3*u(o). Suppose m(l) = 0. What is l?
0, 3/8
Let o(c) be the second derivative of c**9/75600 - c**7/12600 - c**4/4 + 2*c. Let j(v) be the third derivative of o(v). Determine d, given that j(d) = 0.
-1, 0, 1
Let t(g) be the second derivative of -1/180*g**5 + 0*g**3 + 3*g + 0 - 3/2*g**2 - 1/72*g**4. Let j(a) be the first derivative of t(a). Factor j(k).
-k*(k + 1)/3
Let s(a) = a**2 - 8*a - 31. Let k be s(11). Suppose -2*b + b + k = 0. Suppose v - 1/4*v**b - 1 = 0. What is v?
2
Let j(w) be the second derivative of 6*w + 0 + 1/168*w**7 + 1/24*w**4 + 0*w**3 - 1/60*w**6 + 0*w**2 - 1/80*w**5. What is a in j(a) = 0?
-1, 0, 1, 2
Let f(c) be the first derivative of c**4/6 - 2*c**3/3 - 3*c**2 - 7*c + 7. Let l(u) be the first derivative of f(u). Factor l(o).
2*(o - 3)*(o + 1)
Determine i, given that 0 - 3/4*i**5 - 15/4*i**2 + 3/4*i**4 + 3/2*i + 9/4*i**3 = 0.
-2, 0, 1
Let z be (0 - 12/9)*6. Let p be 12/z*(-16)/6. Suppose 9/2*q**3 - 3/2*q**2 + 2 - p*q = 0. Calculate q.
-1, 2/3
Let l(j) be the second derivative of 2*j + 0 - 4/5*j**5 + 2*j**4 + 2/15*j**6 + 2*j**2 - 8/3*j**3. Factor l(u).
4*(u - 1)**4
Let g be (-62)/(-21) + (-16)/56. Factor -8/9*p**3 + 8/9 - 10/3*p**2 - g*p.
-2*(p + 2)**2*(4*p - 1)/9
Suppose -2*q - 5*l + 6 = -4, 4*q - 5*l = 20. Suppose k**5 - 3*k**q + 3*k**5 - k**4 + 2*k**2 - k**2 - k**3 = 0. What is k?
-1, 0, 1
Let p be -1*(28 + -32)*1/2. Find j, given that -2/3*j - 1/3*j**p + 0 = 0.
-2, 0
Let g(m) be the second derivative of m**4/42 + 5*m**3/21 + 4*m**2/7 - 7*m. Factor g(r).
2*(r + 1)*(r + 4)/7
Let l(c) be the third derivative of 2*c**2 + 0*c + 3/10*c**5 + 4*c**3 + 0 + 3/2*c**4 + 1/40*c**6. Factor l(m).
3*(m + 2)**3
Let d = 13 + -1. Suppose 3*r + 0*q = q + d, 2*r + 5*q = -9. Let k(z) = 2*z**2 + 3. Let l(n) = 4*n**2 + 7. Let i(f) = r*l(f) - 7*k(f). Let i(j) = 0. Calculate j.
0
Find p, given that 4/3 + 2/3*p - 2/3*p**2 = 0.
-1, 2
Let c(m) be the third derivative of 0 + 0*m - 1/150*m**5 + 3*m**2 + 1/30*m**4 - 1/15*m**3. Factor c(h).
-2*(h - 1)**2/5
Let w(a) be the second derivative of 0*a**2 + 0 + 0*a**5 - 1/45*a**6 + 1/18*a**4 - a - 1/18*a**3 + 1/126*a**7. Suppose w(y) = 0. Calculate y.
-1, 0, 1
Let u(i) be the first derivative of -i**6/24 + i**5/4 - i**4/2 + i**3/3 + 1. Factor u(k).
-k**2*(k - 2)**2*(k - 1)/4
Let h = -1/231 - -55675/924. Let a = h + -60. Factor 1/2 - 1/4*j**2 - a*j.
-(j - 1)*(j + 2)/4
Let h be (-1 - 1)*(-9)/6. Suppose -5*l - 30 = -8*m + h*m, l + 3 = 0. Factor 0 - 1/2*q**2 - 1/2*q**m + 1/2*q + 1/2*q**4.
q*(q - 1)**2*(q + 1)/2
Find a, given that -2/9*a**3 - 8/9*a**2 - 4/9 - 10/9*a = 0.
-2, -1
Suppose -4*j - j = -15. Let a = 2/57 - -53/114. Factor 0 + 1/2*q**5 - 1/2*q**4 + 1/2*q**2 + 0*q - a*q**j.
q**2*(q - 1)**2*(q + 1)/2
Let h be 2 + 4 + 52/(-9). Factor h*x**2 + 0*x - 2/9.
2*(x - 1)*(x + 1)/9
Let m be 23/(-3) - (-2)/3. Let t(n) = -n**3 - 6*n**2 + 7*n + 2. Let c be t(m). Determine v so that -6*v + v**c + 3*v - 5*v**2 - 2*v**2 = 0.
-1/2, 0
Suppose -4*o + 18 = -5*v, 5*o - 4*o - 4*v - 10 = 0. Find t, given that -5/2*t**4 + 0*t + t**5 + 2*t**3 - 1/2*t**o + 0 = 0.
0, 1/2, 1
Let v = 52 - 49. Let t(b) be the second derivative of 4*b - 1/2*b**4 + 0 - 1/2*b**2 - 1/5*b**5 - 1/30*b**6 - 2/3*b**v. Factor t(c).
-(c + 1)**4
Let z(l) = -l**4 - 2*l**3 - 2*l**2 - 2*l + 1. Let p(s) = -3*s - 4. Let k be p(-2). Let r(g) = g**3 + g**2 - g + 1. Let q(d) = k*r(d) - 2*z(d). Factor q(u).
2*u*(u + 1)**3
Let p be (30/(-8))/(-5)*104/130. Solve p*b - 1/5*b**2 - 2/5 = 0.
1, 2
Let u(g) = -g**2 - 5. Let l(m) = m**2 + 4. Let t be 105/18 - (-1)/6. Let h = t - 12. Let w(p) = h*l(p) - 5*u(p). Let w(v) = 0. What is v?
-1, 1
Let c(b) be the first derivative of b**6/135 + b**5/15 + 13*b**4/54 + 4*b**3/9 + 4*b**2/9 - 7*b + 10. Let p(d) be the first derivative of c(d). Factor p(q).
2*(q + 1)**2*(q + 2)**2/9
Let l be (20/(-45))/(6/(-9)). Let c(d) = -d**3 - 7*d**2 - 8*d - 9. Let j be c(-6). Suppose -2/3*k**j + 2/3 + l*k - 2/3*k**2 = 0. Calculate k.
-1, 1
Let j(b) be the third derivative of 2*b**7/105 - b**5/15 - 7*b**2. Factor j(v).
4*v**2*(v - 1)*(v + 1)
Let s(l) be the second derivative of l**5/40 + l**4/8 + l**3/4 + l**2/4 - 9*l. Let s(v) = 0. Calculate v.
-1
Let h(i) = 5*i**2 + 13*i + 3. Let y(p) = 10*p**2 + 27*p + 7. Let x(u) = 7*h(u) - 3*y(u). Determine d so that x(d) = 0.
-2, 0
Factor -1 + 4 + 2*h**2 - 8*h**2 - 6*h + 9*h**2.
3*(h - 1)**2
Let b = 169 - 167. Factor -2/3*c**4 + 2/3*c**b + 0 + 4/3*c**3 - 4/3*c.
-2*c*(c - 2)*(c - 1)*(c + 1)/3
Let c(f) = -f**3 - f**2 + f - 1. Let y(k) = -5*k**3 + 3*k**2 - 3*k - 1. Let q(b) = -3*c(b) + y(b). Determine r, given that q(r) = 0.
1
Suppose 10 = u - 5*j, j - 6 = 4*j. Let v(c) be the third derivative of -1/180*c**5 + u*c**3 + 0*c**4 + 0*c + 2*c**2 + 0. Let v(r) = 0. What is r?
0
Suppose -d - 3 + 0 = 0, 3*y = 3*d + 24. Let -4/9*f**2 + 4/9*f**4 + 0 + 0*f + 14/9*f**3 - 14/9*f**y = 0. What is f?
-1, 0, 2/7, 1
Let -5*m**2 + 2 + 3*m**2 - 6 + 0*m**2 - 6*m = 0. What is m?
-2, -1
Let j(x) = x. Let w(t) = 10*t**2 + 22*t + 8. Let q(b) = -2*j(b) - w(b). Factor q(d).
-2*(d + 2)*(5*d + 2)
Let z(b) be the second derivative of -b**7/147 - 2*b**6/105 - b**5/70 - 22*b. Factor z(t).
-2*t**3*(t + 1)**2/7
Let u(d) be the first derivative of -2*d**4 - 18*d**3/7 + 3*d**2/7 + 4*d/7 + 1. Solve u(l) = 0 for l.
-1, -1/4, 2/7
Let p(b) be the second derivative of b**7/2 - 6*b**6/5 - 3*b**5/5 + 7*b**4/2 - 3*b**3/2 - 3*b**2 + 10*b. Let p(s) = 0. What is s?
-1, -2/7, 1
Let r(t) = t - 2 + 5 - t**3 + 2*t**2 - 1. Let h(o) = 0*o**3 + 4*o - o + 7*o**2 + 7 - 3*o**3. Let y(i) = -2*h(i) + 7*r(i). Find p such that y(p) = 0.
-1, 0, 1
Suppose c - 4 = 2*o, -1 = -2*c - 3*o - 0. Determine g, given that 4*g**2 + 0*g + 12*g - 2*g**2 - 5*g**c - 12 = 0.
2
Factor 0*w + 1/4*w**3 + 0 - 1/4*w**4 + 0*w**2.
-w**3*(w - 1)/4
Factor 24*b**3 + 7*b**4 + 0*b**2 - 22*b**4 - 6*b - 3*b**2.
-3*b*(b - 1)**2*(5*b + 2)
Let t(m) be the first derivative of m**6/51 - 4*m**5/85 + 4*m**3/51 - m**2/17 + 58. Solve t(s) = 0.
-1, 0, 1
Let k(p) be the third derivative of p**6/120 + p**5/15 + p**4/6 - 2*p**2. Factor k(c).
c*(c + 2)**2
Let p(w) be the first derivative of 1/8*w**4 + 3 - 1/12*w**3 - 1/20*w**5 + 0*w + 0*w**2. Find l such that p(l) = 0.
0, 1
Let i(a) = 2*a**5 + 3*a**4 + 5*a**3 - 3*a**2 + 2*a. Let l(w) = w**5 + w**4 + w**3 - w**2 + w. Let h(q) = -2*i(q) + 6*l(q). Factor h(m).
2*m*(m - 1)**2*(m + 1)**2
Let w = 163/63 - 15/7. Let r(g) be the first derivative of 1/9*g**2 - w*g - 1/6*g**4 + 8/27*g**3 + 2. Determine p so that r(p) = 0.
-2/3, 1
Let o(n) = -n**3 - 6*n**2 - 4*n + 7. Let l be o(-5). Suppose 4*u - 3 = 9. Factor -1/4*t**5 + 1/4*t**u + 1/4*t**l + 0*t - 1/4*t**4 + 0.
-t**2*(t - 1)*(t + 1)**2/4
Let k = -40 - -42. Let b be (12/20)/(k/10). Factor 2/3*a**5 - 2/3*a + 0*a**b + 4/3*a**2 + 0 - 4/3*a**4.
2*a*(a - 1)**3*(a + 1)/3
Let -6/7*v + 15/7*v**2 - 12/7*v**3 + 3/7*v**4 + 0 = 0. What is v?
0, 1, 2
Factor -4*u + u - 5*u + 2*u + 3*u**2.
3*u*(u - 2)
Let r(m) be the first derivative of -m**3/27 + 2*m**2/9 - 4*m/9 - 8. Solve r(p) = 0 for p.
2
Let r(x) = -2*x**2 - 31*x - 13. Let k be r(-15). Find j, given that -3/2*j**k - 1/2 - 1/2*j**3 - 3/2*j = 0.
-1
Let d be 8/45 + (-75)/27 + 3. Let d*k**2 + 1/5*k + 1/5*k**3 + 0 = 0. What is k?
-1, 0
Let l(n) be the second derivative of n**7/2520 - n**6/720 + n**4/12 + 5*n. Let x(w) be the third derivative of l(w). Factor x(z).
z*(z - 1)
Let a(g) be the second derivative of 0 - g - 2/9*g**3 - 1/18*g**4 - 1/3*g**2. Suppose a(p) = 0. Calculate p.
-1
Let b(x) be the second derivative of -x**4/30 - 13*x**3/30 + 7*x**2/10 + 9*x - 3. What is p in b(p) = 0?
-7, 1/2
Solve 12*a**2 - 5*a - a**3 + 11*a + 4 + 6*a + 5*a**3 = 0 for a.
-1
Let f be (1 - -6)*8/28. Solve 1 + 1 - 4*k - 2*k**2 + 6*k**2 - f*k**2 = 0.
1
Suppose 72 = -4*v - 7*b + 2*b, -v + 5*b = -7. Let c = 93/7 + v. Factor -2/7*x**2 + 0 + 2/7*x**4 + 2/7*x - c*x**3.
2*x*(x - 1)**2*(x + 1)/7
Let n(f) = -4*f**2 + 32*f - 44. Let t be (-52)/6 + (-12)/(-18). Let d(l) = -l + 1. Let s(u) = t*d(u) - n(u). Factor s(j).
4*(j - 3)**2
Let k(a) be the third derivative of a**7/5040 - 