-1, 0, 1/3
Let q(u) be the second derivative of -u**5/30 - u**4/6 + 4*u**3/9 + 4*u**2 + 2*u + 143. Factor q(r).
-2*(r - 2)*(r + 2)*(r + 3)/3
Let p = -2/239 + 299/7170. Let o(b) be the second derivative of -7*b + 1/5*b**5 + 0 - 5/12*b**4 - p*b**6 + 0*b**2 + 1/3*b**3. Let o(l) = 0. What is l?
0, 1, 2
Let x(n) be the first derivative of -n**3/3 + 2*n**2 + 2*n - 27. Let z be x(4). Factor 2/5*h**z - 4/5*h + 2/5.
2*(h - 1)**2/5
Let j(k) be the second derivative of -17*k**5/4 - 265*k**4/12 - 100*k**3/3 - 10*k**2 - 205*k. Let j(b) = 0. What is b?
-2, -1, -2/17
Factor -44/5*c - 28/5*c**2 - 4/5*c**3 - 4.
-4*(c + 1)**2*(c + 5)/5
Let n = 38763/5 - 7743. Factor -6/5 - 9*b + n*b**3 - 72/5*b**2.
3*(b - 2)*(4*b + 1)**2/5
Let j(m) be the first derivative of 5*m**3/3 - 5*m - 5. Factor j(h).
5*(h - 1)*(h + 1)
Let d(f) = f**3 + 0*f**2 - f**2 + 2 - 4*f + 0*f**2 + 5*f**2. Let s(u) = 2*u**3 + 7*u**2 - 7*u + 3. Let m(j) = 5*d(j) - 3*s(j). Factor m(q).
-(q - 1)*(q + 1)**2
Let t(q) = -q**3 - 2*q - 1. Let n(m) = -2*m**3 - 3*m**2 - 6*m + 1. Let o(b) = n(b) - 3*t(b). Factor o(v).
(v - 2)**2*(v + 1)
Find v, given that -66/7 - 9*v + 3/7*v**2 = 0.
-1, 22
Let s(h) = -58*h**2 + 5103*h + 94. Let y be s(88). Factor -36/5*n**2 - 9/5 + 18/5*n**3 + y*n - 3/5*n**4.
-3*(n - 3)*(n - 1)**3/5
Factor -150/7*j + 30/7*j**4 + 2/7*j**5 + 220/7*j**2 - 250/7 + 148/7*j**3.
2*(j - 1)*(j + 1)*(j + 5)**3/7
Suppose 2*r + b - 11 = 0, 12*b - 14*b = -4*r + 2. Suppose 32/9*p + 56/9*p**2 + 0 - 4*p**4 - 44/3*p**r = 0. What is p?
-4, -1/3, 0, 2/3
Let o(n) be the first derivative of n**5/15 - n**4/2 - n**2/2 + 18. Let a(j) be the second derivative of o(j). Let a(l) = 0. What is l?
0, 3
Let a(z) be the first derivative of -3*z**6/2 + 24*z**5/5 + 51*z**4/4 - 38*z**3 - 30*z**2 + 72*z - 71. Suppose a(l) = 0. What is l?
-2, -1, 2/3, 2, 3
Let r(g) = 4*g**3 + 5*g**2 - 2*g + 3. Let d(w) be the first derivative of -2*w**3 + 3/2*w**2 - 5/4*w**4 - 2 - 4*w. Let s(i) = 3*d(i) + 4*r(i). Factor s(z).
z*(z + 1)**2
Let f(j) be the third derivative of 11*j**6/60 + 13*j**5/30 + j**4/6 - 22*j**2. Factor f(u).
2*u*(u + 1)*(11*u + 2)
Let i(x) be the first derivative of 2*x**5/15 - x**4/6 - 2*x**3/9 + x**2/3 + 48. Factor i(v).
2*v*(v - 1)**2*(v + 1)/3
Let k(h) be the third derivative of 1/48*h**5 + 0*h - 5/24*h**4 + 0*h**3 + 17*h**2 + 0. Let k(z) = 0. Calculate z.
0, 4
Let i(f) = f**3 - 4*f**2 + 2*f + 7. Let u be i(5). Solve -3*g - 11 - 5*g**2 + g**3 - 22 + u - 2*g**3 = 0.
-3, 1
Let z be (-349 - 5)*3/27*-3. Let c = z + -2240/19. Factor 0 + c*v**3 - 2/19*v**5 + 0*v + 2/19*v**4 - 2/19*v**2.
-2*v**2*(v - 1)**2*(v + 1)/19
Factor -t**3 - 5/4 + 3/2*t**2 + t - 1/4*t**4.
-(t - 1)**2*(t + 1)*(t + 5)/4
Suppose 0 = 13*g - 44 - 138. Let r(i) be the second derivative of 0*i**2 - 3/10*i**5 + 0*i**3 + 1/10*i**6 - g*i + 0 + 1/4*i**4. Factor r(a).
3*a**2*(a - 1)**2
Suppose 15 = 9*n - 3. Let d(q) be the second derivative of 1/80*q**5 + 5/48*q**4 + 3*q + 0 + 1/2*q**n + 1/3*q**3. Factor d(c).
(c + 1)*(c + 2)**2/4
Suppose g + 0*g = 0. Suppose g*q - 2*q + p + 7 = 0, -q = 4*p - 8. Factor j**3 - j**2 - q + 4 + j**4 - j**5.
-j**2*(j - 1)**2*(j + 1)
Let h(v) = -v**2 + 45*v - 482. Let l be h(18). Factor 0*w**3 + 2/5*w**l + 0*w - 2/5*w**2 + 0.
2*w**2*(w - 1)*(w + 1)/5
Suppose -6*d = 3*l - 5*d - 9, 3*l - 21 = 3*d. Suppose 0*f + l*f + 2 = 2*p, -4 = -4*p. Solve 3*c**3 - 8*c**3 + 3*c**4 + 4*c**3 + f*c**3 = 0 for c.
0, 1/3
Suppose -2*a + 3*b = -18, -5*a + 7 = -4*b - 24. Factor -3/8*h**4 + 3/8*h**2 - 3/8*h**a + 3/8*h + 0.
-3*h*(h - 1)*(h + 1)**2/8
Let g = -26092/3 - -182881/21. Let g*f + 9/7*f**4 - 2 - 95/7*f**2 - 51/7*f**3 = 0. Calculate f.
-2, 1/3, 7
Let v be 8 - 260/35 - (-44)/(-126). Let w(r) be the first derivative of 0*r + v*r**3 - 1/6*r**4 + 2/45*r**5 - 7 - 1/9*r**2. Factor w(h).
2*h*(h - 1)**3/9
Find n such that -648/7 - 14436/7*n - 3375/7*n**5 - 106118/7*n**2 - 249255/7*n**3 + 59400/7*n**4 = 0.
-2/15, 9
Let s(h) = 2*h + 10. Let r be s(-3). Find i such that r*i**2 - 9*i**2 + 3*i**2 + 2*i + 4 = 0.
-1, 2
Let t = 133 - 131. Suppose -t = 6*j - 7*j. What is z in 3/5*z**j + 0 - 6/5*z = 0?
0, 2
Let f(a) be the third derivative of 2*a**5/165 - 29*a**4/44 - 2*a**3/3 - 14*a**2 - 3*a. Factor f(w).
2*(w - 22)*(4*w + 1)/11
Let l(x) be the first derivative of x**3/9 - 4*x/3 - 14. Let l(q) = 0. Calculate q.
-2, 2
Suppose 4*o = -0*o. Suppose n + 5 = o, 5*l - n + 2*n = 0. Factor -56*s - s**2 + 56*s + l.
-(s - 1)*(s + 1)
Let z(r) = -r**4 + r**2 - r - 1. Let u(n) = 7*n**4 + 4*n**3 - 2*n**2 + 6*n + 6. Let m = -30 + 36. Let l(a) = m*z(a) + u(a). Find v such that l(v) = 0.
-2, 0
Suppose 285*s + 156*s + 51*s + 228*s + 5*s**3 + 120*s**2 = 0. What is s?
-12, 0
Let x be ((8 - 7)*(-4 + -2))/(17 - 20). Factor 2*b + 2/5*b**3 + 0 - 12/5*b**x.
2*b*(b - 5)*(b - 1)/5
Let f(t) be the first derivative of t**7/147 + 2*t**6/105 - t**4/21 - t**3/21 - 6*t + 2. Let n(l) be the first derivative of f(l). Let n(a) = 0. What is a?
-1, 0, 1
Let a(m) be the first derivative of -5*m**7/84 + m**6/4 - m**5/4 - 42*m + 6. Let l(k) be the first derivative of a(k). Determine q so that l(q) = 0.
0, 1, 2
Let i(m) be the second derivative of -2*m**6/15 - 8*m**5/5 - 4*m**4 - 35*m + 4. Determine k, given that i(k) = 0.
-6, -2, 0
Let s(q) be the third derivative of 0*q**3 + 2/105*q**5 - 7*q**2 + 0*q**4 + 0 + 1/735*q**7 + 1/105*q**6 + 0*q. Solve s(u) = 0 for u.
-2, 0
Let i(w) be the first derivative of 2*w**3/15 + 2*w**2/5 + 2*w/5 - 92. Factor i(t).
2*(t + 1)**2/5
Let p be 4582/1160 + (-6)/8. Let j = -7 + 12. Suppose 2*b**4 + 0*b + 8/5*b**2 - 2/5*b**j + 0 - p*b**3 = 0. Calculate b.
0, 1, 2
Let c(f) = -3*f**2 + 42*f + 39. Let v(b) = -6*b**2 + 82*b + 78. Let z(s) = -5*c(s) + 3*v(s). Factor z(y).
-3*(y - 13)*(y + 1)
Let r(q) = 26*q**5 - 90*q**4 + 108*q**3 - 54*q**2 + 10*q - 2. Let j(f) = f**5 - f**4 + f**2 - f + 1. Let y(z) = -2*j(z) - r(z). Let y(g) = 0. Calculate g.
0, 2/7, 1
Let c(u) = 5 + 3*u - 1 + 8*u - 1. Let b = 22 - 15. Let m(f) = -f**2 + 22*f + 6. Let o(j) = b*c(j) - 4*m(j). Factor o(x).
(x - 3)*(4*x + 1)
Let b(z) = 2*z**3 - 1. Let a(n) = -2*n**2 + 4*n - 1. Let c(h) = -a(h) + b(h). Factor c(j).
2*j*(j - 1)*(j + 2)
Let d be (286/16)/((-2)/12). Let u = -107 - d. What is t in 0 + 0*t + 0*t**2 - 1/2*t**4 - 1/4*t**3 - u*t**5 = 0?
-1, 0
Let w(d) = d**2 + 9*d + 2. Let o be w(-9). Factor -5 - 2*t**3 - 300*t + 285*t - 3*t**3 - 15*t**o.
-5*(t + 1)**3
Let g(q) be the second derivative of q**4/3 + q**2/2 - 2*q. Let j be g(-1). Factor 0*v**4 + 2*v**4 + 3*v**j - 4*v**5 - v**3.
-v**3*(v - 1)**2
Let w = -157/38 + 12767/570. Let d = 98/5 - w. Factor -2*i**2 + 14/3*i - d.
-2*(i - 2)*(3*i - 1)/3
Suppose 899 - 866 = 33*k. Let 0*a - 1/4*a**3 - 3/4*a**2 + k = 0. Calculate a.
-2, 1
Solve 204/5*r - 3/5*r**4 + 111/5*r**2 + 12/5*r**3 + 108/5 = 0.
-2, -1, 9
Factor 12*x**2 + 82*x**2 - 7*x**4 - 2*x**4 + 40*x**3 + 46*x + 11*x**4 + 10*x**3.
2*x*(x + 1)**2*(x + 23)
Let w(m) be the second derivative of -3*m**5/40 - 7*m**4/4 - 25*m**3/4 - 9*m**2 + m + 5. Factor w(p).
-3*(p + 1)**2*(p + 12)/2
Suppose -8 = 26*g - 86. Let m(z) = 3*z - 3. Let u be m(2). Determine y so that -g*y**4 - 13*y**2 - 4*y**3 + 33*y**2 - 3*y - u*y**5 - 3 - 14*y**2 + 10*y**3 = 0.
-1, 1
Let k(q) be the third derivative of 1/360*q**6 + 0*q**4 + 0 + 8*q**2 + 0*q**7 + 0*q + 0*q**3 + 0*q**5 - 1/1008*q**8. Factor k(s).
-s**3*(s - 1)*(s + 1)/3
Solve -1/6*q**3 + 0*q + 0 + 0*q**2 = 0.
0
Let q(j) be the first derivative of 5*j**3/9 - 175*j**2/3 + 6125*j/3 + 110. Determine t so that q(t) = 0.
35
Let z be 0 + (-4 + 7)*(-43)/(-3). Let f = 46 - z. Find i such that -i + i**2 + 1/3 - 1/3*i**f = 0.
1
Suppose -6*r - 6 = -18. Let p be (1 - 4)*(-4)/6. Factor 3*y**p + r*y**2 - 6*y**2.
-y**2
Let l be (2 + -10)/16*0. Let t(n) be the third derivative of 0*n**4 + 2/315*n**7 + 0*n**5 + 0*n + l - 1/45*n**6 + 0*n**3 + 9*n**2. Factor t(f).
4*f**3*(f - 2)/3
Let h = -1487 + 1489. Let v(c) be the first derivative of -1/2*c**4 + 0*c + 1/3*c**3 + 1/5*c**5 - 1 + 0*c**h. What is z in v(z) = 0?
0, 1
Let x(g) = -g**5 + g**4 - g**2 - 1. Let c(m) = -6*m**5 - 6*m**4 - 168*m**3 - 623*m**2 - 944*m - 535. Let t(f) = -2*c(f) + 14*x(f). Solve t(a) = 0 for a.
-3, -2, 22
Let p(v) be the third derivative of 1/6*v**4 + 0 - 1/126*v**7 + 16*v**2 - 2/45*v**5 + 0*v - 17/360*v**6 + 0*v**3. Determine z, given that p(z) = 