q + q - 12. Solve c + 2*c**2 - 9*c**3 - q - 6*c**3 + 1 + 14*c**3 = 0.
-1, 1, 2
Let z(c) be the third derivative of c**5/360 - c**3/9 - 11*c**2 + 2*c. Factor z(f).
(f - 2)*(f + 2)/6
Let n(y) = y**3 - 2*y**2 - 1. Let f(v) = 7*v**3 - 34*v**2 - 68*v - 39. Let c(d) = f(d) - 3*n(d). Determine s, given that c(s) = 0.
-1, 9
Let r(d) = -d**3 + 8*d**2 - 8*d + 3. Let x be r(7). Let u be (-1 - x)*(0 - -1). Find l such that u*l**2 + 5*l**4 - 3*l**5 - 4*l**4 + 3*l**3 - 4*l**4 = 0.
-1, 0, 1
Let i(v) be the first derivative of v**6/24 - 11*v**5/10 + 97*v**4/16 + 22*v**3 + 18*v**2 - 92. Factor i(u).
u*(u - 12)**2*(u + 1)**2/4
Let w(s) be the first derivative of -5*s**4/4 - 400*s**3/3 - 4000*s**2 - 494. Factor w(o).
-5*o*(o + 40)**2
Let u(a) be the first derivative of -a**6/60 - 2*a**5/15 - 5*a**4/12 - 2*a**3/3 - 7*a**2/2 - 9. Let t(f) be the second derivative of u(f). Factor t(d).
-2*(d + 1)**2*(d + 2)
Let v be 6/(-14) + (-559)/(-602). Solve 3*o - v*o**2 - 9/2 = 0.
3
Let c(m) be the first derivative of -m**6/48 - m**5/2 + 3*m**4/32 + 31*m**3/12 + 5*m**2/2 - 134. Suppose c(v) = 0. Calculate v.
-20, -1, 0, 2
Let m be 6/2 + (2 - 1). Suppose -u + m*u - 18 = 0. Solve 9*f**3 + f**3 + u*f - 3*f**4 - 18*f**2 - 3 + 2*f**3 + 6*f = 0 for f.
1
Let g(k) be the second derivative of -k**6/24 + k**5/6 - 5*k**4/24 - 13*k**2/2 - 20*k. Let q(b) be the first derivative of g(b). Find h such that q(h) = 0.
0, 1
Let f be (-50)/100 + 74/(-36) + 3. Factor 256/9 - 52/9*k**3 - 448/9*k + 80/3*k**2 + f*k**4.
4*(k - 4)**3*(k - 1)/9
Suppose -93 + 1232*c**2 - 2456*c**2 + 183*c + 1230*c**2 = 0. Calculate c.
-31, 1/2
Let x(n) be the second derivative of -n**5/9 + 7*n**4/18 - 4*n**3/9 - 5*n**2/2 - 28*n. Let j(q) be the first derivative of x(q). Factor j(s).
-4*(s - 1)*(5*s - 2)/3
Determine t, given that -91/3*t**2 - 8281/3*t - 753571/9 - 1/9*t**3 = 0.
-91
Let k(z) = z**3 - 11*z**2 - 5*z + 3. Let o(j) = 4*j**3 - 54*j**2 - 26*j + 14. Let t(m) = 14*k(m) - 3*o(m). Let t(w) = 0. Calculate w.
-2, 0
Suppose 2*j + 4*g + 240 = 0, 3*g - 4 = 2. Let r = -122 - j. Factor 2*m - m**3 + 0 + 7/3*m**r.
-m*(m - 3)*(3*m + 2)/3
Let n(a) = -a**3 - a**2 - 1. Let v(f) = -3*f**4 + 3*f**3 - 9*f**2 - 9. Let b(o) = -6*n(o) + v(o). Let t(j) be the first derivative of b(j). Factor t(z).
-3*z*(z - 2)*(4*z - 1)
Let w(m) = 6*m**2 + 49*m + 2. Let z be w(-8). Let l be 5 + 4/(4 + z). Factor -4/3*k**2 - 2/3*k + 0 - 2/3*k**l.
-2*k*(k + 1)**2/3
Suppose 6*l - 2*l + q - 11 = 0, -12 = 2*l + 4*q. Factor -7*j**4 + 2*j**5 + 60*j**3 + 0*j**4 - 11*j**l - 5*j - 18 + 71*j - 92*j**2.
2*(j - 3)**2*(j - 1)**3
Determine j so that -38/3*j**4 + 20/3*j + 4/3*j**5 + 38/3*j**2 + 0 - 8*j**3 = 0.
-1, -1/2, 0, 1, 10
Let k(o) be the second derivative of o**6/2 + 25*o**5/4 + 70*o**4/3 + 40*o**3/3 - 3*o + 20. Factor k(p).
5*p*(p + 4)**2*(3*p + 1)
Let o(q) be the second derivative of -1/4*q**4 + 0 - 5*q + 9/2*q**2 - q**3. Factor o(s).
-3*(s - 1)*(s + 3)
Let c be (-30)/(-21) + 6 + -4. Let g be (-80)/504*-3*(-3)/(-5). Factor c*s**3 + g*s - 20/7*s**4 + 6/7*s**5 - 12/7*s**2 + 0.
2*s*(s - 1)**3*(3*s - 1)/7
Let c(i) be the first derivative of -i**4/4 - 2*i**3/3 + 2*i**2 + 8*i + 58. Let c(z) = 0. What is z?
-2, 2
Let u(b) be the third derivative of -b**8/1008 - b**7/630 + b**6/180 + b**5/90 - b**4/72 - b**3/18 + 63*b**2. Factor u(m).
-(m - 1)**2*(m + 1)**3/3
Let y(g) = -10*g**2 + 4*g + 64. Let u(k) = -22*k**2 + 9*k + 126. Let w(r) = -4*u(r) + 9*y(r). Solve w(d) = 0 for d.
-6, 6
Let l(a) be the third derivative of -a**7/105 + 11*a**6/180 + a**5/90 - 19*a**4/36 - 2*a**3/3 + 10*a**2 - 6. Find j, given that l(j) = 0.
-1, -1/3, 2, 3
Let s(j) = j + 14. Let u be s(-12). Let i = 0 + u. Factor -8*b - b**2 + 16*b + i - 9*b.
-(b - 1)*(b + 2)
Let c = 773/2 - 17763/46. Suppose -10/23*b**2 - 2/23*b**3 - 16/23*b - c = 0. What is b?
-2, -1
Let o(h) = -2*h**2 + 17*h - 8. Let r be o(8). Let k(l) be the second derivative of 0*l**3 - 3*l + r*l**2 + 0 + 0*l**4 + 1/5*l**5. Let k(t) = 0. What is t?
0
Factor -2/3*s**2 - 10*s - 28/3.
-2*(s + 1)*(s + 14)/3
Let f be ((-36)/(-30))/((-105)/(-175)). Suppose -2/7*q**4 - 4/7*q + 4/7*q**3 + 2/7*q**f + 0 = 0. What is q?
-1, 0, 1, 2
Let u(g) = 3*g**3 - 52*g**2 + 123*g + 486. Let n(t) = t**2 + 3*t. Let q(i) = -4*n(i) - u(i). Factor q(y).
-3*(y - 9)**2*(y + 2)
Let -4/7*q**4 - 20*q**2 - 48/7*q**3 + 0 - 96/7*q = 0. What is q?
-8, -3, -1, 0
Let t(v) = -4*v**4 - 17*v**3 + 15*v**2 - 18*v + 4. Let r(c) = c**4 + 2*c**3 + c. Let i(k) = -5*r(k) - t(k). Determine b, given that i(b) = 0.
1, 4
Let w(z) = z**3 + 88*z**2 + 173*z + 89. Let j be w(-86). Factor -2/23 - 6/23*g**2 + 2/23*g**j + 6/23*g.
2*(g - 1)**3/23
Let x = 250401/140 - 57944/35. Let i = -527/4 + x. Factor -3/7*z**3 + i*z**2 + 0 - 6/7*z.
-3*z*(z - 2)*(z - 1)/7
Let f = -3665 + 32987/9. Suppose -f*i**2 - 32/9 + 16/9*i = 0. What is i?
4
What is g in 2*g**2 - 101 - 2*g + 33 + 68 = 0?
0, 1
Let z(k) be the first derivative of -5/4*k**4 + 0*k**5 + 38 + 0*k**2 + 0*k**3 + 5/6*k**6 + 0*k. Factor z(t).
5*t**3*(t - 1)*(t + 1)
Solve -25*l**4 + 24*l**3 - 10*l**4 - 17*l**4 - 20*l**5 = 0 for l.
-3, 0, 2/5
Let k(v) be the first derivative of -10 - 14/17*v**3 - 49/34*v**4 - 8/17*v + 24/17*v**2. Let k(q) = 0. Calculate q.
-1, 2/7
Let t be 1/((1 + 0)/(50/10)). Determine j, given that 2*j**3 + 0*j**3 + 3*j**t - 8*j**3 - 4*j**2 - j**5 = 0.
-1, 0, 2
Factor 95/4*v + 5/4*v**2 + 0.
5*v*(v + 19)/4
Let c(g) be the first derivative of g**9/7560 + g**8/2100 + g**7/2100 + g**3/3 - 9*g - 9. Let n(y) be the third derivative of c(y). Factor n(s).
2*s**3*(s + 1)**2/5
Let h(c) be the second derivative of c**8/560 - c**7/168 + c**6/240 - 2*c**4/3 + 10*c. Let i(g) be the third derivative of h(g). Determine v so that i(v) = 0.
0, 1/4, 1
Let i = 528 - 528. Let m(n) be the second derivative of 1/4*n**3 - 3/16*n**4 + 0 + 2*n + i*n**2 + 3/80*n**5. Factor m(p).
3*p*(p - 2)*(p - 1)/4
Let p(d) = d**3 - d. Let m(x) = 5*x + 9*x + 15*x**2 + 3*x**3 - 2*x. Let t(j) = -m(j) - 2*p(j). Suppose t(f) = 0. What is f?
-2, -1, 0
Let j = 2/2149 - -6437/10745. Factor -j*q + 1/5*q**2 + 0.
q*(q - 3)/5
Let q(j) be the third derivative of j**5/120 - j**4/8 + 5*j**3/12 + 14*j**2. Suppose q(s) = 0. What is s?
1, 5
Let q(b) = -b**2 - 6*b - 7. Let r be q(-3). Suppose -4*g + 20 = 0, -3*y + y = -2*g + r. Factor -12/11*t**3 + 26/11*t**2 + 2/11*t**y + 8/11 - 24/11*t.
2*(t - 2)**2*(t - 1)**2/11
Let o(v) be the second derivative of -37*v - 2/21*v**7 + 2/15*v**6 + 0 - 1/3*v**4 - 4/3*v**3 + 0*v**2 + 3/5*v**5. Determine q so that o(q) = 0.
-1, 0, 1, 2
Suppose -6*q - 4 = -28. Factor 2*g**2 - q*g**2 + 45*g - 37*g.
-2*g*(g - 4)
Let n = 111 - -95. Let r = n - 206. Find t, given that -10/7*t**2 - 2/7*t**4 + r - 8/7*t**3 - 4/7*t = 0.
-2, -1, 0
Let i(t) = -8*t**3 + 4*t**2 + 6*t - 6. Suppose 3*d - 6 = 6*d. Let x(b) = b**3 - b**2 - b + 1. Let g(y) = d*i(y) - 12*x(y). Find a such that g(a) = 0.
-1, 0
Determine m so that -4/5*m + 8/5*m**3 - 3*m**2 + 4 - 1/5*m**4 = 0.
-1, 2, 5
Suppose 6*i = 2*i - 16. Let l(g) = -g**2 - 4*g + 7. Let j be l(i). Let -2 - 1 - 2 - q**2 + j + q = 0. Calculate q.
-1, 2
Let a(p) = -3*p - 4*p**3 - 13 + 16*p - 15*p**2 + 9*p**3 + 8*p. Let l(z) = 16*z**3 - 46*z**2 + 62*z - 38. Let y(h) = 10*a(h) - 3*l(h). Find x such that y(x) = 0.
2
Let x = 2 - 2. Let a(z) be the third derivative of x - 1/72*z**4 + 0*z + 1/9*z**3 - 1/90*z**5 + 5*z**2 + 1/360*z**6. Factor a(d).
(d - 2)*(d - 1)*(d + 1)/3
Let q(n) be the second derivative of n**7/21 - 7*n**6/30 + 3*n**5/10 + n**4/12 - n**3/3 + 84*n. Find w such that q(w) = 0.
-1/2, 0, 1, 2
Let k be 0*(11 - 14 - -4). Let o(l) be the third derivative of 0*l - 9*l**2 - 1/126*l**4 - 1/63*l**3 + k - 1/630*l**5. Determine q so that o(q) = 0.
-1
Let n(g) = -36*g + 110. Let a be n(3). Let i(s) be the second derivative of 1/4*s**a + 1/4*s**3 + 0 + 1/40*s**5 + 1/8*s**4 + s. Factor i(f).
(f + 1)**3/2
Let l(a) be the second derivative of -3*a - 1/30*a**5 + 1/3*a**4 + 0 + 3*a**2 - a**3. Let z(g) be the first derivative of l(g). Factor z(s).
-2*(s - 3)*(s - 1)
Let j(n) be the first derivative of n**8/16 - n**7/14 - n**6/20 + n**2 + 5. Let l(x) be the second derivative of j(x). Factor l(i).
3*i**3*(i - 1)*(7*i + 2)
Let k = -2339/7 + 2341/7. Find b, given that 0 + k*b**3 + 2/7*b**5 - 6/7*b**2 - 4/7*b + 6/7*b**4 = 0.
-2, -1, 0, 1
Factor -184/3*s + 