q + 2. Factor -4*s**3 - 23*s + z*s**4 + q*s**2 + 23*s.
2*s**2*(s - 1)**2
Let b(k) = -3 - 28*k - 3 + 0 - 1 - 46*k**2. Let g(w) = -139*w**2 - 84*w - 20. Let z(u) = -8*b(u) + 3*g(u). Find f, given that z(f) = 0.
-2/7
Suppose 40*h + 8*h**2 - 15*h**4 - 36*h - 11*h**3 + 0*h**3 = 0. Calculate h.
-1, -2/5, 0, 2/3
Suppose 4*k = -5*n + 27, 0 = k + n + n - 9. Let d(m) be the first derivative of 1/2*m**k + 2 + m**2 + 1/2*m. Determine y so that d(y) = 0.
-1, -1/3
Let r be 10 + 3 + -3 + (-4)/1. Let -r*j**3 + 9/2*j**2 + 0 + 5/2*j**4 - j = 0. Calculate j.
0, 2/5, 1
Let c = 2118/5 - 423. Factor 0*b + 0 - c*b**4 - 6/5*b**3 + 0*b**2.
-3*b**3*(b + 2)/5
Let i(p) be the first derivative of 2*p**5/5 - 3*p**4/2 + 4*p**3/3 - 7. Let i(x) = 0. Calculate x.
0, 1, 2
Let q(y) be the third derivative of 2*y**5/15 + y**4/2 - 4*y**3/3 + 19*y**2. What is u in q(u) = 0?
-2, 1/2
Let d be (-2 - 1*-2) + 15/45. Suppose -1/3*x**4 - x**2 + 0 + x**3 + d*x = 0. What is x?
0, 1
Find q such that 3*q**2 - 24*q**2 + 5*q**2 - 8 + 20*q + 4*q**3 = 0.
1, 2
Let s(x) be the second derivative of -x**5/80 + x**4/16 - x**2/2 + 11*x. Factor s(f).
-(f - 2)**2*(f + 1)/4
Suppose -28 = -r + 5*r. Let u = r - -9. Factor -u*h**2 - 2*h**4 - 1 + 2 + 3*h**4.
(h - 1)**2*(h + 1)**2
Let s(g) be the first derivative of 125*g**6/6 - 120*g**5 + 795*g**4/4 - 380*g**3/3 + 30*g**2 + 13. Find y, given that s(y) = 0.
0, 2/5, 1, 3
Let n be -1 + 199/(-21)*-3. Let d = 1826/63 - n. Factor 2/9*z**4 + 2*z**2 + 4/9 - 10/9*z**3 - d*z.
2*(z - 2)*(z - 1)**3/9
Let t be 2/5 + 36/360. Let r(d) be the first derivative of 1 - d**2 - 1/5*d**5 + t*d**4 + d + 0*d**3. Suppose r(x) = 0. What is x?
-1, 1
Let s(v) be the first derivative of v**6/540 + v**5/180 - v**3/3 - 1. Let m(u) be the third derivative of s(u). Factor m(z).
2*z*(z + 1)/3
Let w be (-9)/45 + 4/(-5). Let o(f) = f**3 - f - 1. Let k(a) = -21*a**4 - 8*a**3 + 2*a + 2. Let r(u) = w*k(u) - 2*o(u). Factor r(j).
3*j**3*(7*j + 2)
Let b(n) be the first derivative of -6*n**5/5 + 3*n**4/4 + 25*n**3 + 18*n**2 - 51. Solve b(i) = 0.
-3, -1/2, 0, 4
Let j(b) = -9*b**2 + 6*b. Let k(t) = 5*t**2 - 3*t. Let u(v) = -4*j(v) - 7*k(v). Factor u(g).
g*(g - 3)
Factor 3/4*l**2 + 12*l + 48.
3*(l + 8)**2/4
Let r(b) be the first derivative of 0*b**4 - 3 + 0*b + 0*b**2 - 1/15*b**5 + 1/9*b**3. Solve r(t) = 0.
-1, 0, 1
Let s be (136/90)/4 - 2/(-9). Determine l, given that 3/5*l - 6/5*l**3 + 3/5*l**4 + s*l**5 + 3/5 - 6/5*l**2 = 0.
-1, 1
Let c(s) = -s + 3. Let n be c(4). Let w be n/3 + (-120)/(-9). Factor 8*z**3 + w*z**3 + 2 - 24*z**2 + 11*z**3.
2*(2*z - 1)**2*(4*z + 1)
Let f = -1 - -1. Suppose f*b - b = 0. Solve 14*a**4 - 2 + 2*a**3 + 2*a**3 - 12*a**2 + b - 10*a + 6*a**5 = 0.
-1, -1/3, 1
Let k(c) = -2*c. Let m = 1 + -1. Let s be k(m). Factor 2*i**4 + s - 2/3*i + 2/3*i**2 + 10/3*i**3.
2*i*(i + 1)**2*(3*i - 1)/3
Solve -5 + 4*u + 11 + 5*u + 3*u**2 + 0*u**2 = 0 for u.
-2, -1
Let b be (-200)/14 + (-4)/(-14). Let l be 13/3 - b/21. Suppose -4*f - 6 - f**3 + l*f - 2*f**3 + 9*f**2 + 2*f - 3*f**4 = 0. What is f?
-2, -1, 1
Let f(z) be the first derivative of 2*z**5/55 + 2*z**4/11 + 4*z**3/33 - 4*z**2/11 - 6*z/11 + 4. Let f(j) = 0. What is j?
-3, -1, 1
Let p(l) = 5*l**4 + l**2 - 3*l. Let v(r) = r - 4*r**2 + 0*r**2 + 3*r**2 - r**4. Let c(t) = -p(t) - 3*v(t). Factor c(k).
-2*k**2*(k - 1)*(k + 1)
Let w(z) = -3*z**4 - 2*z**2 - 2*z. Let p be 6/(-15) - (-94)/10. Let i(u) = -11*u**4 - u**3 - 9*u**2 - 9*u. Let q(k) = p*w(k) - 2*i(k). Factor q(d).
-d**3*(5*d - 2)
Let a(m) = 5*m**2 + 8 - 2*m**2 + 10*m + 3*m**2. Let q(v) = 7*v**2 + 11*v + 9. Let h(n) = -5*a(n) + 4*q(n). Let h(s) = 0. What is s?
-2, -1
Let t(s) = 2*s - 20. Let x be t(11). Factor 1/3 - 1/3*l**x + 0*l.
-(l - 1)*(l + 1)/3
Let t(y) be the third derivative of 1/630*y**7 + 1/360*y**6 + 0 - 1/72*y**4 + 0*y**3 - 4*y**2 - 1/180*y**5 + 0*y. Factor t(a).
a*(a - 1)*(a + 1)**2/3
Let x = 76 + -151/2. What is b in -1/2*b**3 + 3/2*b**2 + x - 3/2*b = 0?
1
Let y(n) = -18*n**4 + 27*n**3 - 33*n**2 + 27*n - 3. Let w(c) = -c**4 + c**3 - c**2 + c. Let a(x) = 15*w(x) - y(x). What is l in a(l) = 0?
1
Let u = -151 + 761/5. Factor 0 - u*i - 2/5*i**2.
-2*i*(i + 3)/5
Let n(x) = x**3 + 6*x**2 - 3*x + 2. Let l(j) = j**3 + 12*j**2 - 7*j + 4. Let z(b) = -3*l(b) + 5*n(b). Factor z(o).
2*(o - 1)**3
Suppose -4*g - 3*g = -35. Factor 0 - 16/3*y**4 + 0*y**2 + 2*y**g - 2/3*y + 4*y**3.
2*y*(y - 1)**3*(3*y + 1)/3
Let i(a) be the second derivative of 1/20*a**4 + 5*a + 0 - 1/5*a**3 + 3/10*a**2. Factor i(t).
3*(t - 1)**2/5
Let j(r) be the third derivative of r**8/3192 - r**7/665 - 2*r**2. Find t, given that j(t) = 0.
0, 3
Let i(t) be the third derivative of t**7/1260 - t**6/120 + t**5/30 - 5*t**4/24 + 2*t**2. Let o(m) be the second derivative of i(m). Factor o(v).
2*(v - 2)*(v - 1)
Let g be (-2946)/(-132) - 6/(-33). Let u = g + -22. Let u + c**3 + 11/4*c + 13/4*c**2 = 0. Calculate c.
-2, -1, -1/4
Factor -32*i + 7 - 3 + 44*i**2 + 20*i**2.
4*(4*i - 1)**2
Let m(g) = 2*g**2 + 16*g - 38. Let t be m(-10). Suppose -3/5 + 3/5*n**t + 0*n = 0. Calculate n.
-1, 1
Let t be -1 + (-394)/(-143) + 11/121. Determine o, given that 8/13*o**4 - t*o**3 + 2/13 - 12/13*o + 2*o**2 = 0.
1/2, 1
Suppose f = -2*p - 10, -2*f + 11 = -4*p - 1. Let n be 0 + (10/p)/(-5). What is w in n*w + 1/2*w**3 + w**2 + 0 = 0?
-1, 0
Solve 0 - 4/9*g**4 + 4/9*g + 2/3*g**2 - 2/3*g**3 = 0.
-2, -1/2, 0, 1
Let a(n) be the first derivative of 0*n**2 - 2 - 1/7*n**4 + 1/7*n**6 + 0*n**3 + 0*n - 2/35*n**5. Factor a(p).
2*p**3*(p - 1)*(3*p + 2)/7
Let g = 13 + -8. Let m(i) be the first derivative of 1/15*i**g + 2 - 1/18*i**6 + 0*i + 0*i**3 + 0*i**2 + 0*i**4. Suppose m(s) = 0. Calculate s.
0, 1
Let d(n) be the third derivative of -n**5/40 - 3*n**4/8 - 52*n**2. Factor d(w).
-3*w*(w + 6)/2
Let r be -10 + 7 - (-157)/4. Let m = r + -36. Factor m - 1/2*x + 1/4*x**2.
(x - 1)**2/4
Let c = 96 + -140. Let t = -30 - c. Factor 5*g - 27*g - 10*g + 8 + t*g**3 + 10*g**2.
2*(g - 1)*(g + 2)*(7*g - 2)
Let k(a) be the second derivative of 25*a**7/168 - a**6/24 - 23*a**5/40 + 7*a**4/24 + 7*a**3/8 - 9*a**2/8 + 21*a. Let k(r) = 0. What is r?
-1, 3/5, 1
Let d(g) = -g**3 - 9*g - 7 - 10*g**2 + 5*g**2 + g. Let t(s) = s**3 + 0*s**2 + 2 + 4*s**2 + 7*s + 4. Let v(x) = -6*d(x) - 7*t(x). Factor v(r).
-r*(r - 1)**2
Let g = 10 + -8. Factor -6*i - 6*i**2 + 4*i + 8*i - g + 2*i**3.
2*(i - 1)**3
Let l be 3/(-15) - (-48)/15. Suppose -4 - 2 = -l*d. Find r such that -2*r**4 + 2*r + 5*r**5 - 2*r**3 - d*r**5 - r**5 - 2*r**3 - 2 + 4*r**2 = 0.
-1, 1
Let m(w) be the third derivative of w**7/315 + 4*w**6/45 + 13*w**5/15 + 28*w**4/9 + 49*w**3/9 - 41*w**2. What is f in m(f) = 0?
-7, -1
Let t(y) be the first derivative of -1/10*y**4 + 0*y**3 - 9 + 0*y**2 - 1/25*y**5 + 0*y. Factor t(o).
-o**3*(o + 2)/5
Suppose 3*m = 5*g + 6, -2*m + 0*g - 2*g = -4. Suppose 0 = m*j - i - 6, -12 = -j - 2*j + 3*i. Solve 1/3*x**j - 1/3*x**4 + 0*x + 0 + 0*x**3 = 0.
-1, 0, 1
Let q be 0/1 - (-1)/(6/12). Let n(t) be the third derivative of 1/90*t**5 - 2*t**q + 0*t + 0*t**3 + 0 - 1/18*t**4. Let n(k) = 0. Calculate k.
0, 2
Let l = 172/7 + -170/7. Suppose 0*m - l*m**3 + 0 - 2/7*m**2 = 0. Calculate m.
-1, 0
Suppose -2*v + 24 = 10. Let l(t) be the third derivative of 1/840*t**v + 0*t + 0 - 1/240*t**5 - 1/480*t**6 + 1/1344*t**8 + 0*t**4 - t**2 + 0*t**3. Factor l(u).
u**2*(u - 1)*(u + 1)**2/4
Let j = -12/71 - -1054/355. What is y in -j*y**4 + 0 + 4/5*y + 32/5*y**3 - 22/5*y**2 = 0?
0, 2/7, 1
Let y(u) = u**2 + 4*u + 7. Let z be y(-2). Solve 0 + 1/2*o**2 + 1/4*o + 1/4*o**z = 0.
-1, 0
Let z(a) = -8*a**3 - 11*a**2 + 2*a + 5. Let b(s) = 4*s**3 + 5*s**2 - s - 2. Let t(g) = 5*b(g) + 2*z(g). Find k such that t(k) = 0.
-1, 0, 1/4
Let p = -131 + 206. Suppose 0 = -l + 3*d + 31, 0*l - d = 5*l - p. Factor 2*b - 2*b + 10*b**2 - l*b - 8.
2*(b - 2)*(5*b + 2)
Suppose 2*g - 1 = 5*f, -3*g = g - 5*f - 27. Let x = -8 + g. Factor -2/7*a**2 - 4/7*a**x + 0 - 8/7*a**3 + 0*a - 10/7*a**4.
-2*a**2*(a + 1)**2*(2*a + 1)/7
Let k be ((-6)/(-5))/((-22)/(-55)). Factor -p + 5*p - 1 + p**k + p - 4*p**2 - 1.
(p - 2)*(p - 1)**2
Let s(i) be the second derivative of -i + 0 + 3/140*i**5 - 1/14*i**4 + 1/14*i**3 + 0*i**2. Factor s(w).
3*w*(w - 1)**2/7
Let r be ((-24)/(-3))/(3 - 1). Suppose 0 = -r*o - 0*o + 8. Determine q so that -q**2 - 2*q + 3*q**2 - 3*q**o = 0.
-2, 0
Let b(n) be the f