 3. Let 3*z**l + 3*z**2 - 2*z - 7*z**2 = 0. What is z?
-2, 0
Solve 2/5 + 6/5*i + 6/5*i**2 + 2/5*i**3 = 0.
-1
Let p(i) be the second derivative of -5*i**4/12 + 5*i**3/2 - 5*i**2 - 25*i. Factor p(v).
-5*(v - 2)*(v - 1)
Let x = -170 - -174. Solve -1/3*v**3 + 1/3*v**5 + 1/3*v**2 + 0*v - 1/3*v**x + 0 = 0 for v.
-1, 0, 1
Suppose 0 = j + 9 - 9. What is g in 2/3*g**2 + 2/3*g + j = 0?
-1, 0
Let m(p) be the first derivative of -2/3*p**3 + p**2 + 0*p + 1. Factor m(c).
-2*c*(c - 1)
Let k(s) be the second derivative of -2*s**7/21 + 4*s**6/15 - 2*s**4/3 + 2*s**3/3 + s. Find f such that k(f) = 0.
-1, 0, 1
Let o(r) be the first derivative of r**6/7 + 4*r**5/35 - 5*r**4/7 + r**2 - 4*r/7 + 15. Determine t so that o(t) = 0.
-2, -1, 1/3, 1
Let z be (-2)/(-7) - 52/(-14). Suppose -4*q**2 - 2*q**3 - q**2 - 3*q**2 + z*q**2 + 4 + 2*q = 0. What is q?
-2, -1, 1
Let m(x) = -x**3 + 4*x**2 - 3*x - 4. Let l be m(3). Let w be -1 - (0 - (-6)/l). Find f such that -w*f**3 + 0 + 0*f + f**2 = 0.
0, 2
Let i(d) be the third derivative of d**5/60 - d**4/6 + d**3/3 - d**2. Let n(g) = 11 + 0*g**2 + 6*g**2 - 20*g - g. Let k(h) = 11*i(h) - 2*n(h). Factor k(a).
-a*(a + 2)
What is c in -3*c**3 + 4*c - 6*c**2 + 10*c**2 - c**3 - 4 = 0?
-1, 1
Let y be (2/21)/((-5)/(-35)). What is l in y*l**3 - 2/3*l**4 + 0 + 2/3*l**2 - 2/3*l = 0?
-1, 0, 1
Suppose j = -5, -2*b + 2*j + 3*j + 29 = 0. Suppose 1/3 + 5/3*r**3 - 4/3*r**4 + r**b - 5/3*r = 0. What is r?
-1, 1/4, 1
Let u(z) = z**2 - 7*z + 2. Let m be u(7). Solve 2*r**m + 0*r**3 + 2*r**4 - 2*r**3 - 2*r + 4*r - 4*r**2 = 0 for r.
-1, 0, 1
Let f(q) be the second derivative of -5*q**7/378 + q**6/90 + 7*q**5/180 - q**4/36 - q**3/27 + 14*q. What is n in f(n) = 0?
-1, -2/5, 0, 1
Let c(s) be the first derivative of s**4/12 + s**3 + 9*s**2/2 - 3*s + 5. Let a(y) be the first derivative of c(y). Factor a(r).
(r + 3)**2
Let n(w) = 2*w + 3*w**2 + 2*w - 2*w**2 + 0*w**2 - 3. Let z be n(-5). Let -1/3*j**5 + 0 + 0*j**3 - 2/3*j**4 + 1/3*j + 2/3*j**z = 0. What is j?
-1, 0, 1
Let i(g) be the first derivative of g**6/480 - g**5/120 + g**4/96 - g**2 + 1. Let m(b) be the second derivative of i(b). Factor m(s).
s*(s - 1)**2/4
Let w(y) be the third derivative of y**5/90 - y**4/9 + 6*y**2. Find x, given that w(x) = 0.
0, 4
Let b be 2/(-6) + (-169)/(-273). Factor 2/7*d - b*d**2 + 2/7 - 2/7*d**3.
-2*(d - 1)*(d + 1)**2/7
Let q(t) be the third derivative of -t**5/240 - t**4/96 + 23*t**2. Suppose q(s) = 0. What is s?
-1, 0
Let l(p) be the second derivative of p**7/483 - 3*p**6/115 + 31*p**5/230 - 17*p**4/46 + 40*p**3/69 - 12*p**2/23 + 8*p. Find q such that l(q) = 0.
1, 2, 3
Let y(m) be the third derivative of 0*m + 0 + 1/15*m**5 + 0*m**3 + 1/3*m**4 + 4*m**2 - 1/30*m**6. Factor y(c).
-4*c*(c - 2)*(c + 1)
Determine x so that -7/6 - 1/6*x**2 + 4/3*x = 0.
1, 7
Let b(g) be the first derivative of -g**5/240 - g**4/48 + 2*g**2 + 3. Let c(k) be the second derivative of b(k). Factor c(w).
-w*(w + 2)/4
Let o(n) = -n**4 - 1. Let q(f) = 11*f**4 + 15*f**3 - 5*f**2 - 15*f + 6. Let v(m) = 6*o(m) + q(m). Factor v(h).
5*h*(h - 1)*(h + 1)*(h + 3)
Let a(j) be the first derivative of 1/30*j**6 + 0*j**4 + 0*j**2 + 0*j**3 + 1/20*j**5 - j - 3. Let s(u) be the first derivative of a(u). Factor s(h).
h**3*(h + 1)
Let s(x) be the third derivative of 0*x - x**2 + 0*x**3 + 1/1176*x**8 + 0*x**4 + 1/140*x**6 + 1/210*x**5 + 0 + 1/245*x**7. Suppose s(m) = 0. Calculate m.
-1, 0
Let j(x) be the second derivative of 5/48*x**4 + 0*x**2 + 1/8*x**3 - 1/120*x**6 - 7*x + 0 + 1/80*x**5. Factor j(t).
-t*(t - 3)*(t + 1)**2/4
Find l such that 2*l**4 - 4*l**3 + 3*l**3 + 2*l + 0*l + 7*l**3 + 6*l**2 = 0.
-1, 0
Factor 0*l**2 - 14/13*l + 2/13*l**3 - 12/13.
2*(l - 3)*(l + 1)*(l + 2)/13
Suppose -35 = -5*s + 25. Let k be (-4)/16 + 11/s. Suppose k*a**4 + 4*a**2 - 8/3*a**3 + 2/3 - 8/3*a = 0. Calculate a.
1
Let g(o) be the second derivative of o**5/110 - 7*o**4/22 + 49*o**3/11 - 343*o**2/11 + 6*o. Factor g(c).
2*(c - 7)**3/11
Let k(j) be the first derivative of -5*j**3 + 0*j - 3*j**2 + 9/5*j**5 + 2 + 3*j**4. What is f in k(f) = 0?
-2, -1/3, 0, 1
Let c(y) be the first derivative of 1/540*y**6 + 0*y**2 - 1/540*y**5 + 0*y - 1/54*y**4 - 2/3*y**3 - 2. Let g(b) be the third derivative of c(b). Factor g(m).
2*(m - 1)*(3*m + 2)/9
Find t such that 4*t**2 - 852*t + 8 + 6*t**2 + 0*t**3 + 836*t - 2*t**3 = 0.
1, 2
Let c be (-32)/(-18) - 2/(-9). Let d be (3/(-6))/(c/(-16)). Factor 1/2*f**2 - 1/4 + 1/4*f - 1/2*f**3 + 1/4*f**5 - 1/4*f**d.
(f - 1)**3*(f + 1)**2/4
Suppose 3*p + 3*r = -6, 5*r = -4*p + 6*p - 24. Suppose -3/2*n**p + 0 + 0*n = 0. What is n?
0
Let i be (-6)/(0 - (-1 + 2)). Let h(m) = m - 2. Let c be h(i). Factor -2/11*b**c + 2/11*b**2 + 2/11*b**3 - 2/11*b + 0.
-2*b*(b - 1)**2*(b + 1)/11
Suppose -2/11*n - 2/11*n**3 - 4/11*n**2 + 0 = 0. What is n?
-1, 0
Let n(k) be the first derivative of 2*k**7/147 - 4*k**6/105 + k**5/35 + k - 4. Let r(v) be the first derivative of n(v). What is x in r(x) = 0?
0, 1
Determine j, given that 4*j**2 + 16*j - j**2 + 16 + j**2 = 0.
-2
Suppose 5*l + 9 = -4*x - 0, 0 = 2*x - 2*l. Let k be x + -2 + 5 - -2. Solve 2/9*n**2 + 0 - 8/9*n**3 + 2/3*n**k + 0*n = 0 for n.
0, 1/3, 1
Let d be 4/6*18/4. Let 2*h**2 + 2*h**2 - 7*h**2 + d*h**3 + 0*h**2 = 0. Calculate h.
0, 1
Let o(x) be the first derivative of x**6/15 - 2*x**5/25 - x**4/2 + 2*x**3/3 + 4*x**2/5 - 8*x/5 + 18. Let o(r) = 0. What is r?
-2, -1, 1, 2
Let q be ((-24)/(-10))/(6/40). Suppose -2*n = 2*k + 2*k - 8, 0 = -4*n + 5*k + q. Factor 2*f**4 + f**2 - f + f**3 - 8*f**4 + 5*f**n.
-f*(f - 1)**2*(f + 1)
Solve -16 - 3 + 4 - 5*g**3 + 15*g**2 - 5 = 0.
-1, 2
Let x(g) = g - 1. Let c = -6 + 9. Let n be x(c). Suppose 2*w**4 + 0*w**2 + w**3 - 7*w - 4*w**2 - 2*w**2 + 0*w**4 - n = 0. What is w?
-1, -1/2, 2
Let t(w) be the first derivative of 4*w**5/15 + 5*w**4/12 - 7*w**3/9 - w**2/3 + 55. Solve t(j) = 0 for j.
-2, -1/4, 0, 1
Let l be ((-10)/(-15))/(2/6). Factor -66*s + 3*s**2 - 2*s**2 + l - 4 + 65*s.
(s - 2)*(s + 1)
Suppose 0*x - 2*y - 10 = -4*x, -x - 5*y = 14. Factor x - 2*s + 0*s + 3*s + s**2 - 3*s.
(s - 1)**2
Let m(y) be the first derivative of -y**2 + 0*y - 1 + 1/30*y**5 + 1/4*y**4 + 2/3*y**3. Let g(f) be the second derivative of m(f). Determine d so that g(d) = 0.
-2, -1
Let b = 12 + -7. Let p(r) be the third derivative of 1/12*r**4 - 2/75*r**b - r**2 - 1/15*r**3 + 0*r + 0. Determine s so that p(s) = 0.
1/4, 1
Let j(w) = -w**5 - w**4 + w**3 - w**2 + w - 1. Let n(q) = -q**5 + 14*q**4 - 9*q**3 + 4*q**2 - 4*q + 4. Let a(m) = 4*j(m) + n(m). Determine r so that a(r) = 0.
0, 1
Let y(f) = -19*f**4 + 10*f**3 + 52*f**2 + 24*f + 8. Let s(z) = -13*z**4 + 7*z**3 + 35*z**2 + 16*z + 5. Let r(p) = -8*s(p) + 5*y(p). Find m such that r(m) = 0.
-2/3, 0, 2
Let p(x) be the first derivative of -2*x**5/5 - x**4/2 + 8*x**3/3 + 4*x**2 + 20. Factor p(d).
-2*d*(d - 2)*(d + 1)*(d + 2)
Let v(h) be the second derivative of -1/240*h**5 - 2*h + 1/2*h**2 - 1/32*h**4 + 0 - 1/12*h**3. Let q(p) be the first derivative of v(p). Factor q(l).
-(l + 1)*(l + 2)/4
Let k(j) be the first derivative of j**5/5 + j**4/2 - j**2 - j + 14. Factor k(w).
(w - 1)*(w + 1)**3
Let l be 2/(-8) + 45/20. Factor -3*s**2 + s**4 + s - l*s**2 - s**3 + 4*s**2 + 0*s**2.
s*(s - 1)**2*(s + 1)
Let m(u) = -u**4 + 4*u**3 + 6*u. Let x(f) = -10*f**4 + 35*f**3 + 55*f. Let w(k) = 55*m(k) - 6*x(k). Factor w(p).
5*p**3*(p + 2)
Let i(u) = 7*u - 1. Let k be i(-3). Let r(n) = -n**3 - 11*n**2 + 12*n. Let t(s) = -s**2 + s. Let q(h) = k*t(h) + 2*r(h). Factor q(y).
-2*y*(y - 1)*(y + 1)
Let y(i) be the second derivative of 0 - 2/15*i**3 - 1/30*i**4 + 3/5*i**2 - 5*i. Factor y(u).
-2*(u - 1)*(u + 3)/5
Let q = 1 - -1. Suppose 3*i = -i + 3*o + 11, 2*o = -q. Factor 2/3*u + 2/3*u**5 + 0 + 0*u**i - 4/3*u**3 + 0*u**4.
2*u*(u - 1)**2*(u + 1)**2/3
Let n(b) be the second derivative of -1/5*b**2 + 1/5*b**3 - b + 1/50*b**5 + 0 - 1/10*b**4. Factor n(p).
2*(p - 1)**3/5
Factor -12*m**2 + 30*m - 45 - 7*m**2 + 14*m**2.
-5*(m - 3)**2
Factor 2/9*b**4 - 2/3*b - 2/9*b**2 + 2/3*b**3 + 0.
2*b*(b - 1)*(b + 1)*(b + 3)/9
Let c(t) be the first derivative of -t**8/3360 - t**7/1680 + 2*t**3/3 - 2. Let v(u) be the third derivative of c(u). Factor v(i).
-i**3*(i + 1)/2
Let w(j) be the first derivative of -1/21*j**3 - 4/7*j - 4 - 2/7*j**2. Solve w(t) = 0.
-2
Suppose 6*y + 264 = 3*y. Let p =