*z**2 + 7*z. Let k(y) = 2*y**2 + 4*y. Let v(u) = -5*k(u) + 2*r(u). Let v(n) = 0. What is n?
-3, 0
Let w(h) be the third derivative of -2*h**5/15 - 13*h**4/12 - h**3 - 10*h**2. Factor w(j).
-2*(j + 3)*(4*j + 1)
Let l(m) be the second derivative of m**5/4 - 5*m**4/12 - 5*m**3/6 + 5*m**2/2 + 36*m. Find p such that l(p) = 0.
-1, 1
Let i(y) be the third derivative of y**8/1848 - 19*y**7/231 + 361*y**6/66 - 6859*y**5/33 + 651605*y**4/132 - 2476099*y**3/33 - 3*y**2 + 5*y. Factor i(q).
2*(q - 19)**5/11
Suppose -2*c + 4*w + 4 = 0, 0 = 2*c - c + 3*w - 2. Let 0*h + 0 - 1/2*h**3 + 0*h**c = 0. What is h?
0
Let q(a) be the first derivative of 1/21*a**3 + 2*a - 1 + 1/7*a**2 - 1/70*a**5 - 1/42*a**4. Let x(k) be the first derivative of q(k). Factor x(b).
-2*(b - 1)*(b + 1)**2/7
Let f(q) be the third derivative of -q**2 - 1/240*q**5 + 1/840*q**7 + 0 - 1/480*q**6 + 0*q**3 + 1/96*q**4 + 0*q. Factor f(j).
j*(j - 1)**2*(j + 1)/4
Let i(k) = -3*k + 10. Let b be i(6). Let a be (b/50)/((-12)/30). Factor -4/5*r + 2/5 + a*r**2.
2*(r - 1)**2/5
Let m(n) = n**3 + 8*n**2 - 3*n - 10. Let i be m(-9). Let c be i/(-126) - (-2)/(-9). Factor 0 + 2/7*z**4 - c*z**2 + 2/7*z**5 - 2/7*z**3 + 0*z.
2*z**2*(z - 1)*(z + 1)**2/7
Let w be 1/5 + 872/(-10). Let m = 263/3 + w. Factor -4/3 + 2*s - m*s**2.
-2*(s - 2)*(s - 1)/3
Let o(z) be the second derivative of z**7/63 + 4*z**6/135 - z**5/45 - 2*z**4/27 - z**3/27 + 5*z. Solve o(f) = 0.
-1, -1/3, 0, 1
Factor 0 + 1 - 13*v + 5*v + 4*v**2 + 3.
4*(v - 1)**2
Let j(f) be the first derivative of 2*f**3/33 - 3*f**2/11 + 4*f/11 - 2. Factor j(r).
2*(r - 2)*(r - 1)/11
Let r = 5/48 + -1/16. Let z(g) be the second derivative of 0*g**2 + 2*g + r*g**3 + 0 + 1/48*g**4. Factor z(y).
y*(y + 1)/4
Suppose -2*u = 11 - 1, 0 = 4*y - 3*u - 47. Let c be 3/2*y/42. Let -4/7*q**3 + 0*q + c*q**2 + 2/7*q**4 + 0 = 0. What is q?
0, 1
Let x = 14 - 11. Suppose -x = -4*t + 5. Suppose 0 + 4/5*q + 2*q**2 - t*q**4 - 6/5*q**5 + 2/5*q**3 = 0. What is q?
-1, -2/3, 0, 1
Let i(n) = -n**4 - 2*n. Let c(f) = 4*f**4 + 7*f. Let l(a) = 4*c(a) + 14*i(a). Factor l(g).
2*g**4
Let x(y) be the third derivative of 0 - 1/20*y**6 + 2*y**2 + 0*y**3 + 1/30*y**5 + 0*y + 0*y**4. Factor x(o).
-2*o**2*(3*o - 1)
Let t(m) be the second derivative of m**5/60 + m**4/12 + m**3/6 + 3*m**2/2 - m. Let k(a) be the first derivative of t(a). Factor k(p).
(p + 1)**2
Let b(d) be the third derivative of 0 + 6*d**2 + 1/270*d**5 + 1/54*d**4 + 1/27*d**3 + 0*d. Find i such that b(i) = 0.
-1
What is h in 2*h**3 - 8*h - 61*h**4 + 34*h**3 - 11*h**4 - 38*h**2 + 58*h**2 = 0?
-1/2, 0, 1/3, 2/3
Let n(z) = -6*z**3 - 2 + 9*z**3 - 5*z + 3*z. Let m(u) = u**3 - u**2 - u - 1. Let a(c) = 2*m(c) - n(c). Determine i, given that a(i) = 0.
-2, 0
Suppose -j + 1 = -8. Suppose 4*c - j - 11 = 0, 0 = -3*d + c + 4. Factor 2*t - 4*t + 0*t - 2*t**d + 4*t**2.
-2*t*(t - 1)**2
Factor 3*q**2 - 68 + 37 + 2*q + 34 + 4*q.
3*(q + 1)**2
Let y(v) be the first derivative of v**3/2 + 9*v**2/2 + 15*v/2 + 5. Factor y(h).
3*(h + 1)*(h + 5)/2
Let p(c) = c**3 - 36*c**2 + 14*c - 23. Let k(l) = -12*l**2 + 4*l - 8. Let g(o) = -11*k(o) + 4*p(o). Factor g(v).
4*(v - 1)**3
Let d(h) be the second derivative of h**6/225 + h**5/150 - h**4/90 - h**3/45 - 3*h. Determine m, given that d(m) = 0.
-1, 0, 1
Suppose -o = o + 6, -1 = -n - o. Let p(z) be the first derivative of -1/20*z**5 + 1/2*z**2 + 2*z - 2 - 1/2*z**3 - 5/16*z**n. Suppose p(r) = 0. What is r?
-2, 1
Determine h, given that -4/7*h**3 + 8/7*h**2 + 0 + 12/7*h = 0.
-1, 0, 3
Suppose 4*y - 11 = -3. Factor 2/3*d**3 - 2/3*d**y + 0 + 0*d.
2*d**2*(d - 1)/3
Let l(c) = -4*c**2 - 8*c - 4. Let m be (-3)/((-12)/(-8) - 0). Let w(r) = -2*r**2 - 4*r - 2. Let d(h) = m*l(h) + 5*w(h). Factor d(v).
-2*(v + 1)**2
Let a(b) be the first derivative of -b**5/20 - b**4/16 + 5*b**3/12 - 3*b**2/8 + 7. Determine z, given that a(z) = 0.
-3, 0, 1
Let i = -92/15 - -19/3. What is m in 2/5*m + 1/5*m**2 + i = 0?
-1
Let o(r) be the second derivative of -r**7/28 - 3*r**6/16 - 3*r**5/20 + 19*r**4/32 + 3*r**3/4 - 3*r**2/4 - 27*r. Determine h so that o(h) = 0.
-2, -1, 1/4, 1
Let b(h) = -h. Let k be b(-2). Determine i, given that -4*i + 2*i**k - 3*i**2 + 2*i**2 - 3*i**2 = 0.
-2, 0
Let g = -8 - -8. Let 0*h - 2/5*h**5 - 4/5*h**4 + g*h**2 + 0 - 2/5*h**3 = 0. Calculate h.
-1, 0
Let j = -63 - -66. Let n(k) be the first derivative of 0*k - 1/3*k**6 + 4/21*k**j - 11/14*k**4 + 3 + 32/35*k**5 + 0*k**2. Let n(z) = 0. What is z?
0, 2/7, 1
Suppose 5*w**3 + 0*w**4 - w**4 - 2*w - w**2 - 3*w**5 + 2*w**4 = 0. What is w?
-1, -2/3, 0, 1
Let f(x) be the second derivative of -1/21*x**7 + 0*x**3 - 3/10*x**5 + 6*x - 1/6*x**4 + 0 + 0*x**2 - 1/5*x**6. Factor f(m).
-2*m**2*(m + 1)**3
Let w(n) be the third derivative of n**6/40 + 3*n**5/20 + n**4/4 - 14*n**2. Determine r so that w(r) = 0.
-2, -1, 0
Suppose 0 = -5*j + 4*j - 131. Let k = 1181/9 + j. Factor 2/3*x**2 - k - 4/9*x.
2*(x - 1)*(3*x + 1)/9
Let d(k) = -k**2 - 14*k - 22. Let s be d(-12). Let h(u) be the first derivative of 3/20*u**4 - 1/10*u**s + 2/5*u - 4/15*u**3 - 4. Determine r so that h(r) = 0.
-2/3, 1
Solve 3*u + 30*u**3 - u - 33*u**4 - 16*u**2 - 32*u**5 + 49*u**4 = 0.
-1, 0, 1/4, 1
Let o(k) be the second derivative of k**8/1008 + 2*k**7/315 + k**6/90 - k**2/2 - 3*k. Let m(y) be the first derivative of o(y). Factor m(r).
r**3*(r + 2)**2/3
Let m(r) be the first derivative of -r**5/25 - r**4/10 + r**3/15 + r**2/5 + 16. Solve m(k) = 0.
-2, -1, 0, 1
Let q(l) = -2*l**2 + 10*l + 2. Let w be q(5). Factor -2/7*g + 0 + 4/7*g**5 + 6/7*g**3 + 2/7*g**w - 10/7*g**4.
2*g*(g - 1)**3*(2*g + 1)/7
Let u = 33/56 - 1/56. Factor -u*i + 0 - 6/7*i**2.
-2*i*(3*i + 2)/7
Let g(b) = -b**5 + b**4 - b**2 + b. Let l(v) = 12*v**5 + 12*v**4 + 40*v**3 + 48*v**2 + 12*v + 4. Let m(r) = 8*g(r) + l(r). Factor m(d).
4*(d + 1)**5
Let b(w) be the first derivative of 5*w**3/3 + 5*w**2 + 5*w - 7. Suppose b(c) = 0. Calculate c.
-1
Find k such that -21/8*k + 21/8*k**3 - 3/4*k**2 + 3/4 = 0.
-1, 2/7, 1
Let u(r) = -r**2 - 11*r + 13. Let l be u(-12). Let n(m) be the first derivative of 1/6*m**4 - l - 8/9*m**3 + 5/3*m**2 - 4/3*m. Factor n(t).
2*(t - 2)*(t - 1)**2/3
Let i(b) be the first derivative of b**2/2 + 4*b - 1. Let z be i(-3). Factor 2*n - 4*n**2 + 2 + 2*n**5 - 1 + 2*n**4 - 4*n**3 + z.
2*(n - 1)**2*(n + 1)**3
Let w(k) be the first derivative of -k**6/18 - k**5/3 - 2*k**4/3 - 4*k**3/9 + 25. Factor w(c).
-c**2*(c + 1)*(c + 2)**2/3
Let w be 28/(-6) + (-14)/(-21). Let y be (-10)/w - (-4)/(-8). Let -2/3 - 2*p - 2/3*p**3 - y*p**2 = 0. Calculate p.
-1
Find f such that f - 4/3 + 1/3*f**2 = 0.
-4, 1
Let t be (-13)/(-11) + -1 - 126/(-1848). Solve 0*p + 0 + 1/4*p**2 - t*p**3 = 0.
0, 1
Factor 3*m**2 + 4 + 2*m - 4 + 3*m**3 - 3 - 5*m.
3*(m - 1)*(m + 1)**2
Let g(b) = -4*b**3 - 2*b**2 - 6*b - 6. Let k(i) = 8*i**3 + 5*i**2 + 13*i + 13. Let l(v) = -13*g(v) - 6*k(v). Factor l(d).
4*d**2*(d - 1)
Let j(q) be the second derivative of 0 - 3/4*q**4 + 3*q**2 + 5/2*q**3 - 2*q. Solve j(d) = 0 for d.
-1/3, 2
Let v(m) be the second derivative of m**4/60 + 3*m**3/10 + 2*m - 8. Factor v(h).
h*(h + 9)/5
Let q be 1/(-2)*4*6. Let l be (-1)/(-2) - q/8. Let 4*x + 2*x**l - x**2 + 6 - 2 = 0. Calculate x.
-2
Let f(s) be the second derivative of 0 - 1/70*s**7 - s - 3/10*s**3 + 0*s**6 - 3/5*s**2 + 1/10*s**4 + 3/25*s**5. Solve f(r) = 0 for r.
-1, 1, 2
Let z(v) be the third derivative of 0 + 5*v**2 + 1/24*v**4 + 1/180*v**5 + 0*v**3 + 0*v. Solve z(h) = 0.
-3, 0
Factor 0*z - 1/2*z**2 + 0 + 0*z**3 - z**5 + 3/2*z**4.
-z**2*(z - 1)**2*(2*z + 1)/2
Factor 1/6*f**2 - 1/6*f**4 + 1/6*f**5 + 0 - 1/6*f**3 + 0*f.
f**2*(f - 1)**2*(f + 1)/6
Let x = 6 + -2. Solve -k**4 + k**5 - 2*k**3 - 9*k**5 - 9*k**x = 0 for k.
-1, -1/4, 0
Let d(o) = 10*o**3 - 8*o**2 + 2*o + 108. Let x(g) = -3*g**3 + 3*g**2 - g - 36. Let m(n) = 5*d(n) + 16*x(n). Let m(a) = 0. Calculate a.
-3, 2
Let n be (-78)/(-36) + (-2)/(-6). Let b(c) be the first derivative of -n*c**2 - 4/3*c**3 + 2 - c. Factor b(f).
-(f + 1)*(4*f + 1)
Let m = 223 + -1557/7. Solve 0 + 0*k - m*k**3 - 1/7*k**4 - 3/7*k**2 = 0.
-3, -1, 0
Let o(q) be the third derivative of -2/65*q**5 + 0*q - 1/26*q**4 - 1/78*q**6 - 1/39*q**3 + q**2 + 0 - 1/455*q**7. Factor o(i).
-2*(i + 1)**3*(3*i + 1)/13
Let u(t) = 2*t**2 - t - 1. Let z be u(-1). Factor 16*j**z - 8*j**2 + 2*j - 2*j**3 - 12*j + 4.
-2*