 + 1)
Suppose -5*r = 0, 0 = -3*c + 8*c - 5*r. Suppose c = -0*m + 14*m. What is y in m + 0*y - 4/7*y**3 - 2/7*y**2 = 0?
-1/2, 0
Let n(j) = -j**3 + j**2 - 2*j. Let i(v) = 8*v**3 - 16*v**2 + 26*v. Let o(w) = -2*i(w) - 18*n(w). Let o(c) = 0. What is c?
-8, 0, 1
Let y be (66/(-264))/(20/(-32)). Factor y*g**3 - 4/5*g**2 + 0 - 6/5*g.
2*g*(g - 3)*(g + 1)/5
Let n be 5 - -4*2/(-8). Suppose 14 = 2*w + 2*y - 6, n*w - 22 = 2*y. Suppose -9*l**4 + w - 3*l**3 + 9*l**2 + 3*l - 3 - 4 = 0. What is l?
-1, -1/3, 0, 1
Let q be -6*((2 - (-36)/(-16)) + (-195)/130). Let 0*r + 27*r**3 - 12*r**2 + q*r**5 + 0 + 99/2*r**4 = 0. What is r?
-4, -1, 0, 2/7
Let k(r) be the second derivative of -r**4/48 + r**3/24 + 6*r. Factor k(o).
-o*(o - 1)/4
Let d = -144 + 154. Suppose -o - 5*a = -12, 2*o + 8 = a + d. Factor 2*q + 18/7*q**o - 4/7.
2*(q + 1)*(9*q - 2)/7
Let b(l) be the first derivative of l**5/15 - 10*l**3/9 + 3*l - 27. Let b(x) = 0. Calculate x.
-3, -1, 1, 3
Suppose k + 2 = 3. Let u(l) = 3*l - 1. Let r be u(k). Factor -2*y**3 + r*y**2 - 2 + 0 + 2*y + 0*y**2.
-2*(y - 1)**2*(y + 1)
Suppose -29 = 5*v + 6. Let o = v - -11. Factor 1 + 1 + 5*r - 10*r + o*r**2 - 4*r.
(r - 2)*(4*r - 1)
Let f(u) be the third derivative of 0*u**5 + 0*u + 0 - 7*u**2 + 1/132*u**4 + 0*u**3 - 1/660*u**6. What is l in f(l) = 0?
-1, 0, 1
Let g(l) be the third derivative of 0*l + 1/480*l**5 + 11*l**2 + 0 - 1/480*l**6 - 1/48*l**3 + 1/96*l**4. Suppose g(r) = 0. What is r?
-1, 1/2, 1
Let w = 1 - 8. Let h = 9 + w. Find s such that -4*s + 0*s**2 - 2*s**2 - h*s + 3 + 5*s**2 = 0.
1
Suppose 6 - 6 = 7*h. Let c be (-7 - 0) + 9 - (h + 2). What is m in c + 0*m + 1/2*m**3 - 1/2*m**2 = 0?
0, 1
Let i(p) be the third derivative of p**5/30 + 4*p**4 + 192*p**3 + 10*p**2 + 2. Suppose i(w) = 0. Calculate w.
-24
Let j = -1723 + 8621/5. Factor -2/5*i**3 - 6/5*i + 2/5 + j*i**2.
-2*(i - 1)**3/5
Let a(s) be the third derivative of -s**6/90 + s**5/45 + s**4/9 - 7*s**2 + 1. Factor a(b).
-4*b*(b - 2)*(b + 1)/3
Let q(t) be the second derivative of t**6/15 + 3*t**5/10 + t**4/2 + t**3/3 + 11*t - 1. Let q(o) = 0. What is o?
-1, 0
Let a be (35/(-14) + 2)*-8. Let c(k) be the second derivative of 4/15*k**3 + 1/100*k**5 - 1/12*k**a + 0 + 3*k - 2/5*k**2. Factor c(t).
(t - 2)**2*(t - 1)/5
Let 9*h**2 - 390*h + 376*h - 8 + 5*h**3 + 8*h**2 = 0. What is h?
-4, -2/5, 1
Let w(b) = -2*b**5 + 5*b**4 + 2*b**3 + 11*b**2 + 13*b - 3. Let f(l) = -l**5 + 3*l**4 + l**3 + 5*l**2 + 6*l - 2. Let i(g) = 11*f(g) - 6*w(g). Factor i(q).
(q - 2)*(q + 1)**3*(q + 2)
Let p = -1086 + 1092. Let a(u) be the third derivative of 2/3*u**4 - 2/15*u**5 + 12*u**2 + 0 + 16/3*u**3 + 0*u - 1/30*u**p. Factor a(k).
-4*(k - 2)*(k + 2)**2
Let v be 2 - (1/(-3) - 80/48). Factor -13*f**2 - v + 2 + 3*f + 12*f**2.
-(f - 2)*(f - 1)
Let i(x) be the third derivative of -x**8/112 - 3*x**7/70 + 3*x**6/40 + 7*x**5/20 - 3*x**4/4 + 5*x**2 - 5*x. Find m such that i(m) = 0.
-3, -2, 0, 1
Suppose 0*v - 5 = -v - q, 35 = 4*v + q. Suppose -11*z**2 - 9*z**4 + 2*z**3 + v*z**4 + 12*z**2 = 0. Calculate z.
-1, 0
Let u(v) be the second derivative of 2*v**5/65 - 11*v**4/78 - v**3/13 - 92*v. Factor u(h).
2*h*(h - 3)*(4*h + 1)/13
Let b(p) = -p**3 + 7*p**2 + 7*p + 8. Let j be b(8). Solve -3 + y**2 - 4*y**2 + 0*y**2 - 6*y + j*y = 0.
-1
Let m(t) be the first derivative of -5*t**8/336 + t**6/24 - 3*t**2/2 - 2. Let l(b) be the second derivative of m(b). Factor l(h).
-5*h**3*(h - 1)*(h + 1)
Let i(h) be the first derivative of 0*h + 0*h**3 + 0*h**2 - 1/18*h**6 + 1/3*h**4 - 4 - 1/5*h**5. Factor i(t).
-t**3*(t - 1)*(t + 4)/3
Let f(t) be the third derivative of -t**6/30 - 2*t**5/3 - 17*t**4/6 - 16*t**3/3 + 333*t**2. Solve f(a) = 0 for a.
-8, -1
Let c(t) = 2*t + 16. Let w be c(-7). Factor -w + 3*h**2 + 2*h**2 + 2.
5*h**2
Let u(d) be the second derivative of d**4/20 + 14*d**3/5 - 87*d**2/10 + 2*d - 75. Factor u(x).
3*(x - 1)*(x + 29)/5
Suppose 24*n = -5*n + 8*n. Let o(h) be the third derivative of 1/15*h**3 - 1/300*h**5 + 0*h - 2*h**2 + n + 1/120*h**4. Factor o(x).
-(x - 2)*(x + 1)/5
Let x(h) = -h**2 + h**3 - h**2 + 7*h - 4 - 5*h**2. Let m be x(6). Let f**2 + 5*f**m - 2*f**4 + 4*f - 1 + 1 = 0. What is f?
-1, 0, 2
Let h(m) be the first derivative of 0*m - 10 + 0*m**2 - 3/4*m**4 - 2/9*m**3 - 4/15*m**5. Factor h(c).
-c**2*(c + 2)*(4*c + 1)/3
Suppose 14 = 4*r - 2*h, 16 = -6*r + 2*r - 4*h. Let m be (0/3)/(r + -2). Solve -4/7*z**4 + m*z + 4/7*z**2 + 0 + 2*z**5 - 2*z**3 = 0.
-1, 0, 2/7, 1
Let a(o) be the second derivative of -o**4/42 - 482*o**3/21 - 58081*o**2/7 - 207*o. Determine f, given that a(f) = 0.
-241
Let h be 60/105 + (-16)/28. Let t(n) be the second derivative of 1/7*n**5 + 20/21*n**3 + h - 2*n + 16/7*n**2 - 23/21*n**4. Factor t(c).
4*(c - 4)*(c - 1)*(5*c + 2)/7
Let m(s) be the second derivative of -7*s**4/54 + 44*s**3/27 - 5*s**2 + 15*s. Factor m(v).
-2*(v - 5)*(7*v - 9)/9
Let l(n) = n**2 + 12*n + 29. Let f be l(-9). Let v = 25/111 - -4/37. Let v*o**3 + 1/3*o**f - 1/3*o - 1/3 = 0. What is o?
-1, 1
Determine j, given that 89 + 126*j**2 + 47*j - 8*j**3 + 121*j - 55 = 0.
-1, -1/4, 17
Find d, given that -9/8*d**2 - 9/2 + 9/4*d**3 + 3/8*d**4 - 15/2*d = 0.
-6, -1, 2
Let f(u) be the third derivative of u**5/60 - u**4/96 - u**3/8 - 25*u**2. Factor f(v).
(v - 1)*(4*v + 3)/4
Solve 1/3*o**5 - 80/3 - 3*o**4 - 16/3*o**3 + 56/3*o**2 + 16*o = 0 for o.
-2, 1, 2, 10
Let l(z) be the third derivative of z**5/420 + 19*z**4/84 + 12*z**3/7 + 4*z**2 + 11*z. Find p, given that l(p) = 0.
-36, -2
Let z(j) be the first derivative of 4*j**5/5 - 4*j**3 - 4*j**2 - 75. What is m in z(m) = 0?
-1, 0, 2
Let f(l) be the second derivative of l**8/336 - l**7/42 + 5*l**6/72 - l**5/12 + 7*l**3/3 - 4*l. Let o(z) be the second derivative of f(z). Factor o(t).
5*t*(t - 2)*(t - 1)**2
Factor 0 + 56/11*n**4 - 98/11*n**5 + 0*n + 0*n**2 - 8/11*n**3.
-2*n**3*(7*n - 2)**2/11
Let v(f) = -12*f**4 - 4*f**3 + 16*f**2 + 24*f - 8. Let w(c) = -c**4 + c**3 + 2*c**2 + c - 1. Let h(j) = -v(j) + 8*w(j). Factor h(g).
4*g*(g - 1)*(g + 2)**2
Let f(s) be the first derivative of -s**6/80 + s**4/16 - 7*s**2/2 + 7. Let b(h) be the second derivative of f(h). Factor b(t).
-3*t*(t - 1)*(t + 1)/2
Let u(b) = 4*b**2 - 27*b + 140. Let z(d) = 10*d**2 - 78*d + 420. Let w(a) = 8*u(a) - 3*z(a). Solve w(v) = 0 for v.
-14, 5
Let k(x) be the third derivative of -1/840*x**7 + 1/120*x**6 + 0 - 55*x**2 + 7/24*x**3 + 3/40*x**5 + 0*x + 5/24*x**4. Determine g, given that k(g) = 0.
-1, 7
Let k = 209 - -95. Suppose 294 - k = -5*w. Factor 0 - 6/5*c + 8/5*c**w - 2/5*c**3.
-2*c*(c - 3)*(c - 1)/5
Let p(a) = a**3 + a**2 - a - 1. Let t(l) be the first derivative of -2*l**4 - 13*l**3/3 - l**2 + 3*l + 10. Let k(u) = 3*p(u) + t(u). Factor k(c).
-5*c*(c + 1)**2
Let g(m) = 9 + 0*m + 7*m - 2*m**2 - 3*m**3 - 15*m**2. Let x be g(-6). Suppose 7/2*h**2 + 1/2*h**5 + 1/4 + 9/4*h**4 + 3/2*h + 4*h**x = 0. Calculate h.
-1, -1/2
Let k(s) be the first derivative of 5*s**6/6 - 11*s**5 + 25*s**4/2 + 530*s**3/3 + 665*s**2/2 + 245*s + 75. Let k(u) = 0. What is u?
-1, 7
Let j(a) be the second derivative of -5*a**4/12 + 185*a**3/6 + 95*a**2 + 48*a. Find y, given that j(y) = 0.
-1, 38
Let f(p) be the third derivative of -1/30*p**6 - 12 + 0*p**3 + 1/20*p**5 + 0*p + 1/210*p**7 + 0*p**4 - 2*p**2. Factor f(b).
b**2*(b - 3)*(b - 1)
Let n be (5/5 - -4)*3. Suppose 4*x = -3*h - n, 0 = 3*x - h - 5 - 0. Factor -3/2*g**3 + x + 1/2*g**4 + 0*g**2 + 2*g.
g*(g - 2)**2*(g + 1)/2
Let z = -17 - -23. Let w(m) = -9*m**2 + 12*m + 7. Let v(a) = 10*a**2 - 13*a - 8. Let q(b) = z*w(b) + 5*v(b). Factor q(r).
-(r - 2)*(4*r + 1)
Determine q so that 1/2*q**2 + 450 + 30*q = 0.
-30
Let b be ((-13)/(-3))/(15/285). Let k = b - 81. Factor 18*c**4 + 0*c**3 + 0 + k*c - 6*c**2.
2*c*(3*c - 1)**2*(3*c + 2)/3
Let w(d) be the third derivative of -d**5/12 - 15*d**4/4 - 140*d**3/3 - 39*d**2. Find i, given that w(i) = 0.
-14, -4
Let l(n) be the first derivative of n**6/30 + 4*n**5/15 + 9*n**2 - 12. Let h(w) be the second derivative of l(w). Factor h(r).
4*r**2*(r + 4)
Let h(y) be the third derivative of y**5/210 + 29*y**4/84 + 4*y**3/3 - y**2 - 122*y. Let h(g) = 0. Calculate g.
-28, -1
Let d(o) be the second derivative of -o**6/540 + o**5/54 - o**4/27 - 13*o**2 + 19*o. Let l(g) be the first derivative of d(g). Solve l(v) = 0 for v.
0, 1, 4
Suppose -3*v**5 + 5*v**4 + 5*v**4 + 1