/6*p**2 - 65/6 - 3*p.
-(p + 5)*(p + 13)/6
Let r(l) be the third derivative of 0*l**4 + 0*l + 1/40*l**6 - 1/210*l**7 - 1/30*l**5 + 0*l**3 + 0 + 29*l**2. Factor r(o).
-o**2*(o - 2)*(o - 1)
Suppose 0 = -2*u - 5 + 9. Let z(j) = j**2 - 22*j + 43. Let b be z(20). Solve -1/3*p - 16/3*p**u + 34/3*p**b + 2/3 - 26/3*p**4 + 7/3*p**5 = 0.
-2/7, 1
Suppose 0 = -f + 16. Factor -a**2 + a**2 + f*a + 0*a - 2*a**2.
-2*a*(a - 8)
Let b(v) be the first derivative of v**5/20 - v**3/2 + v**2 - v - 1. Let o(u) be the first derivative of b(u). What is z in o(z) = 0?
-2, 1
Let r = 17 + -15. Suppose -d + 1 = 0, 5*k - r = -d - 1. Factor k*l - 3*l + 2*l**2 + l.
2*l*(l - 1)
Let j = 56 - 38. Determine w, given that 170*w**3 + j*w - 6*w**2 + 7 - 172*w**3 - 17 = 0.
-5, 1
Let y be ((-2)/4 + 1)*26. Suppose w - y = 5*d + 6, 1 = w + 4*d. Find m such that -2*m**4 - 2 - w*m + 0*m**3 - 14*m**2 - 2*m**3 - 7*m**3 = 0.
-2, -1, -1/2
Let o(y) be the second derivative of y**7/42 + y**6/6 + 3*y**5/10 - y**4/6 - 7*y**3/6 - 3*y**2/2 - 89*y. Find c, given that o(c) = 0.
-3, -1, 1
Let v be 1*-5*36/(-90). Factor -13*o**3 + 4*o**3 + 3*o**5 - 6*o + 14*o**2 + o**v - 3*o**4.
3*o*(o - 1)**3*(o + 2)
Let w = 848 - 2543/3. Let g(i) be the first derivative of -3 + 1/3*i**4 + 0*i - 2/9*i**3 - w*i**2. Factor g(f).
2*f*(f - 1)*(2*f + 1)/3
Let x(l) = -3*l**3 + 2*l**3 + 3*l**2 + 6*l**2 + 2*l**2 + 4. Let g be x(11). Factor 6*b**2 - 2*b**4 + 4*b + 2*b**4 + 0*b**4 - 2*b**g.
-2*b*(b - 2)*(b + 1)**2
Factor 144 - 165*h**2 - 106*h**2 + 195*h**2 - 4*h**3 - 64*h.
-4*(h - 1)*(h + 2)*(h + 18)
Let l(j) be the third derivative of -5*j**8/336 + j**7/42 + j**6/4 - 3*j**2 + j. Factor l(u).
-5*u**3*(u - 3)*(u + 2)
Let f(a) be the third derivative of -a**6/360 + a**4/6 - 5*a**3/2 + 12*a**2. Let p(t) be the first derivative of f(t). Factor p(r).
-(r - 2)*(r + 2)
Factor 106/5*c**2 + 54/5*c - 2/5*c**4 + 10*c**3 + 0.
-2*c*(c - 27)*(c + 1)**2/5
Suppose -3*u = 2*a - 5, 22 = -2*u - 0*u + 5*a. Let k be (0 - 10/(-8)) + u. Find l such that -1/4*l**2 - k*l**3 + 1/4*l**4 + 0 + 1/4*l = 0.
-1, 0, 1
Factor -2*h**4 + 26*h + 58*h - 24*h + 2*h**2 - 12*h**3.
-2*h*(h - 2)*(h + 3)*(h + 5)
Let s be 580/232 + (-2)/(0 + 2). Let v(m) be the first derivative of m**3 - s*m**2 - 6*m - 6. Suppose v(k) = 0. What is k?
-1, 2
Let h(y) be the second derivative of y**7/42 + y**6/10 + y**5/20 - y**4/4 - y**3/3 - 514*y. Factor h(j).
j*(j - 1)*(j + 1)**2*(j + 2)
Let x(h) be the second derivative of h**4/84 + h**3/14 - 2*h**2/7 - 5*h - 14. Determine j, given that x(j) = 0.
-4, 1
Let b = 53 + -45. Factor -j**2 + 20*j - 8 - 3*j**2 - b*j.
-4*(j - 2)*(j - 1)
Determine u, given that -8645*u**2 - 6*u**5 - 6*u**3 + 8621*u**2 + 15*u**4 + 3*u**5 = 0.
-1, 0, 2, 4
Suppose 2*i = -3 - 1. Let c be 15/(1 - i) - 0. Suppose -y**3 + 4*y + 1 + 6*y**3 - 3*y**3 + 0 + c*y**2 = 0. Calculate y.
-1, -1/2
Let r be -2 + 6/5 + -53 + 54. Suppose -8/5*k + 16/5 + r*k**2 = 0. Calculate k.
4
Suppose 7*x - 477 = 125. Let y = x - 600/7. Find p, given that 8/7*p - 8/7 - y*p**2 = 0.
2
Let p = 58151/9 - 6461. Factor 2/9*u**2 + 0 - 2/9*u**3 - 2/9*u**4 + p*u.
-2*u*(u - 1)*(u + 1)**2/9
Let y(c) = c**3 + 5*c**2 - 4*c - 5. Let t be y(-5). Suppose t = 5*n - 0. Factor -l**2 - 4*l - n*l**2 + 4*l**2 + 4*l**3.
4*l*(l - 1)*(l + 1)
Let t(x) be the second derivative of 1/285*x**6 + 1/399*x**7 + 0*x**3 - 1/190*x**5 + 0 - 13*x + 0*x**2 - 1/114*x**4. Determine a, given that t(a) = 0.
-1, 0, 1
Factor -3/8*j**4 + 0 + 3/8*j**3 - 3/2*j + 3/2*j**2.
-3*j*(j - 2)*(j - 1)*(j + 2)/8
Let z(d) = -13*d**2 - 29*d - 11. Let h(u) = -7*u**2 - 15*u - 5. Let p be -3*1*1/(-2 + 3). Let f(g) = p*z(g) + 5*h(g). Let f(q) = 0. What is q?
-2, -1
Let r be (-220)/(-240) + (-3)/4. Let n(y) be the second derivative of r*y**4 - 3*y - y**2 + 0 + 0*y**3. Suppose n(j) = 0. What is j?
-1, 1
Let w(t) = 4*t**4 - 5*t**3 + 5*t**2 + 8*t. Let x(i) = 9*i**4 - 10*i**3 + 11*i**2 + 16*i. Let b(q) = -7*w(q) + 3*x(q). Factor b(o).
-o*(o - 4)*(o - 2)*(o + 1)
Solve 8*b + 16/3 + 1/3*b**4 + 1/3*b**2 - 2*b**3 = 0.
-1, 4
Let n(o) be the first derivative of -64*o**5/5 + 136*o**4 - 76*o**3 - 110*o**2 - 32*o - 342. Find t such that n(t) = 0.
-1/4, 1, 8
Let v be 13 - 129/12 - 3/2. Let x(f) be the first derivative of -15/2*f**2 - 8 - 9*f - f**3 + v*f**4. Factor x(h).
3*(h - 3)*(h + 1)**2
Let s(u) be the first derivative of -2*u**3/3 + 68*u**2 - 145. Solve s(w) = 0 for w.
0, 68
Let s(r) be the second derivative of -r**4/18 + 490*r**3/9 - 60025*r**2/3 + 41*r - 3. Find u such that s(u) = 0.
245
Let k(x) be the second derivative of 3/20*x**5 + 3*x**2 - 1/2*x**3 + 0 + 1/10*x**6 - 3/4*x**4 - 2*x. Suppose k(a) = 0. Calculate a.
-2, -1, 1
Let a be (675/(-18))/((-4)/36)*(-56)/(-462). Find b, given that 2/11*b**2 - 60/11*b + a = 0.
15
Determine o, given that -4/5 + 2/5*o + 6/5*o**2 - 2/5*o**4 - 2/5*o**3 = 0.
-2, -1, 1
Let g be (-7 - -1) + ((-21)/5)/((-42)/60). Solve -k**3 + 0*k**2 - 1/3*k**5 + 0*k + g - 4/3*k**4 = 0 for k.
-3, -1, 0
Let s be ((-153)/170)/((-6)/50). Factor -3/4*p**2 - 75/4 - s*p.
-3*(p + 5)**2/4
Let d(n) = 48*n**3 + 196*n**2 + 168*n + 20. Let y(l) = 7*l**3 + 28*l**2 + 24*l + 3. Let q(z) = 3*d(z) - 20*y(z). Determine s, given that q(s) = 0.
-6, -1, 0
Let p(n) be the third derivative of -1/120*n**6 - 1/840*n**7 + 0*n**3 + 9*n**2 + 0*n + 1/80*n**5 + 0 + 3/16*n**4. Factor p(h).
-h*(h - 2)*(h + 3)**2/4
Let q = 784 + -781. Let m = 48 + -93/2. Factor m*w**q + 1/2*w**4 + w**2 + 0 + 0*w.
w**2*(w + 1)*(w + 2)/2
Let m = -110/9 + 223/18. Let l(b) be the first derivative of 2*b - 3 + b**2 + m*b**3. Factor l(s).
(s + 2)**2/2
Find y such that -68*y**2 + 32*y**2 - 100*y + 39*y**2 - 53*y = 0.
0, 51
Let c = 364/5 + -72. Let r = -1/20 + c. Factor 0 + r*l**2 + 3/2*l.
3*l*(l + 2)/4
Let k = -5369/15 + 358. Let x(n) be the second derivative of k*n**6 - 1/3*n**4 + 1/5*n**5 - 1/3*n**3 + 0 + n**2 + 2*n - 1/21*n**7. Find t, given that x(t) = 0.
-1, 1
Let g(m) be the first derivative of -1/6*m**4 - m + 2/3*m**3 - 4/3*m**2 + 1/60*m**5 + 3. Let f(d) be the first derivative of g(d). Solve f(c) = 0.
2
Let l(n) be the first derivative of -n**3/21 + 4*n**2/7 - 16*n/7 + 10. Let l(i) = 0. Calculate i.
4
Suppose -2*m - 2*v + 1 + 23 = 0, 3*m = -5*v + 36. Suppose -5*l + 17 = -4*f, 0*f + 5*f - 5*l = -15. Find y, given that m + y**2 - 7*y + f*y**2 - 5*y - 3*y = 0.
1, 4
Let h(a) be the second derivative of -1/10*a**5 + 0 + 1/40*a**6 - 1/12*a**3 + 0*a**2 + 7/48*a**4 - 19*a. Let h(p) = 0. Calculate p.
0, 2/3, 1
Let l(w) be the third derivative of -w**5/210 - w**4/28 + 4*w**3/21 - 5*w**2 + 12*w. Factor l(z).
-2*(z - 1)*(z + 4)/7
Let k(c) be the first derivative of -c**5/40 + 11*c**4/32 - 5*c**3/12 - 182. Factor k(t).
-t**2*(t - 10)*(t - 1)/8
Let o be (21/315)/(-1*5/(-15)). Suppose 0*s**3 + 1/5*s**4 + 0 + 0*s - o*s**2 = 0. Calculate s.
-1, 0, 1
Let s(v) be the third derivative of -v**5/40 + 3*v**4/16 - 20*v**2. Factor s(a).
-3*a*(a - 3)/2
Let t(m) be the second derivative of -m**6/15 + 23*m**5/5 + 47*m**4/6 - 487*m. Suppose t(p) = 0. Calculate p.
-1, 0, 47
Let o(f) = f**2 + 38*f + 328. Let l be o(-25). Let z(w) be the first derivative of -1/9*w**3 + 3 - w**2 - l*w. Determine g so that z(g) = 0.
-3
Let v(k) = -k**3 + 8*k**2 - 5*k. Let r be v(7). Let y = 17 - r. Find g, given that 2*g**4 + 3*g**4 - 10*g**y + 2*g**4 - g**4 + 4*g**2 = 0.
0, 2/3, 1
Let l(h) be the first derivative of 2*h**5/65 - 9*h**4/26 + 18*h**3/13 - 27*h**2/13 + 43. Solve l(c) = 0.
0, 3
Suppose -m = -0*m. Suppose 0 = 4*d + 2*c - 0*c - 6, m = -3*d + 3*c + 9. Determine h, given that -59*h**2 - 3*h + 64*h**2 - d*h = 0.
0, 1
Let n(a) be the second derivative of -a**6/120 - a**5/20 + a**4/24 + a**3/2 + 33*a**2/2 - 5*a. Let j(b) be the first derivative of n(b). Factor j(w).
-(w - 1)*(w + 1)*(w + 3)
Let a(v) be the third derivative of v**6/120 + v**5/30 - v**4/6 - 5*v**3/6 - 10*v**2. Let p be a(-2). Factor -m**2 + 0*m**2 - m - m**3 + p*m**2.
-m*(m - 1)**2
Factor 9*j**3 + 33*j**2 - 11*j**2 - 9*j**2 - 19*j**2 - 15*j.
3*j*(j + 1)*(3*j - 5)
Let h(f) be the second derivative of -10/3*f**4 + 0*f**3 - 39*f - 1/15*f**6 - 8/5*f**5 + 1/21*f**7 + 0*f**2 + 0. Find a such that h(a) = 0.
-2, 0, 5
Let t(q) be the second derivative of 1 + 0*q**2 + 1/4*q**3 + 9/40*q**6 - 6*q - 3/40*q**5 - 9/16*q**4. Find u, given that t(u) = 0.
-1, 0, 2/9, 1
Factor -14*r + 10 - 2/5