) = 0. Calculate r.
-2, 0
Factor 4324/3*f**3 - 59200/3*f + 32000/3 + 4/3*f**5 + 22640/3*f**2 + 232/3*f**4.
4*(f - 1)**2*(f + 20)**3/3
Suppose -82 - 188 = -54*r. Let b(c) = c**3 + c. Let u be b(1). Suppose -20*f**3 + 3*f**u + 7*f**2 + r*f**4 + 10*f**2 = 0. What is f?
0, 2
Let c(a) be the second derivative of -a**5/20 + 49*a**3/2 + 343*a**2 - 593*a. Determine q, given that c(q) = 0.
-7, 14
Factor 3/5*h**2 + 3/5*h - 3/5*h**3 - 3/5*h**4 + 0.
-3*h*(h - 1)*(h + 1)**2/5
Let y(x) be the third derivative of -3*x**7/70 - 13*x**6/24 - 7*x**5/3 - 25*x**4/6 - 8*x**3/3 + 6*x**2 - 15*x. Suppose y(f) = 0. What is f?
-4, -2, -1, -2/9
Suppose g + 3*x - 4 = 0, -5*g - 4*x + 42 = -0. Suppose -4*c + 0*c = -124. Factor 7*s**3 + 4*s**2 - 32*s**3 + c*s**2 - g*s.
-5*s*(s - 1)*(5*s - 2)
Let b(w) = -9*w**4 - 17*w**3 + 9*w**2 + 7*w. Let y(z) = 8*z**4 + 16*z**3 - 8*z**2 - 8*z. Let g(h) = 4*b(h) + 5*y(h). Find n such that g(n) = 0.
-3, -1, 0, 1
Suppose 3*k = -3*h + 6, 3*k - 2 = -4*h + 6. Suppose 0*y + y = h. Solve 48*d**3 + d**4 - 92*d**5 + 12*d**y + 10*d**5 + 14*d**4 + 7*d**5 = 0.
-2/5, 0, 1
Let y(a) be the first derivative of 15*a + 5/2*a**4 + a**5 + 1 - 5*a**2 - 20/3*a**3. Factor y(u).
5*(u - 1)**2*(u + 1)*(u + 3)
Let l(c) be the second derivative of 5/3*c**4 + 0 - 13*c + 0*c**2 + 1/4*c**5 + 0*c**3. Determine k so that l(k) = 0.
-4, 0
Factor 51*c**3 + 441*c + 32*c**2 + 3*c**4 + 439*c**2 - 198*c**2.
3*c*(c + 3)*(c + 7)**2
Let k be (316/498)/(16/(-12)). Let a = 2/83 - k. Factor -1/2*q**3 + 0 + 1/2*q**4 + 1/2*q - a*q**2.
q*(q - 1)**2*(q + 1)/2
Let r(d) be the third derivative of d**5/300 + d**4/60 + d**3/30 - 132*d**2. Find m such that r(m) = 0.
-1
Let s(d) = -d**2 + 5*d - 6. Let b be s(3). Let i(f) be the third derivative of -1/24*f**4 + 1/240*f**5 + 0 + 1/6*f**3 + b*f + f**2. Factor i(l).
(l - 2)**2/4
Let h be ((-2)/(-60))/((-3)/(-5)). Let l(n) be the first derivative of -1/3*n + h*n**3 + 5 - 1/12*n**2. Factor l(u).
(u - 2)*(u + 1)/6
Let d(i) = -i**2 - 15*i - 3. Let v be d(-12). Factor -100*r**3 - 32 - 32*r**4 - 4*r**5 - 91*r - v*r - 152*r**2 + 12*r.
-4*(r + 1)**2*(r + 2)**3
Let z = 101/90 + -9/10. Let h be (-2 + 1)*0 + (0 - 0). Factor 2/9*r**3 + 0*r - z*r**2 + h.
2*r**2*(r - 1)/9
Let z(c) = -2*c**3 + 3*c**2 - 2*c**2 - 3 + 2 - c. Let g be z(-1). Factor 3*t**3 - 16*t**3 + 4*t**3 + g*t + t.
-t*(3*t - 2)*(3*t + 2)
Let u(g) = 8*g**2 - 9*g + 19. Let z be u(4). Let l = -108 + z. Suppose 0 - 4*j**4 - 3/2*j**5 + 0*j - 7/2*j**l - j**2 = 0. Calculate j.
-1, -2/3, 0
Let f be 2/4 + 34/4. Let -f*w**3 + 3*w**3 + 81*w**2 + 10*w**4 - 85*w**2 = 0. What is w?
-2/5, 0, 1
Suppose 88*w + 4*w = -15*w. Factor 1/5*q**2 - 2/5*q**3 + w + 1/5*q.
-q*(q - 1)*(2*q + 1)/5
Let m(a) be the first derivative of a**4/3 + 4*a**3 + 18*a**2 - a - 11. Let p(b) be the first derivative of m(b). Factor p(i).
4*(i + 3)**2
Let m = 115 + -85. Let c be 5/(m/28) + (-2)/(-3). Factor 0 - 4/3*y - c*y**3 - 2*y**4 - 14/3*y**2.
-2*y*(y + 1)**2*(3*y + 2)/3
Let x = -26656 + 26659. Factor -1/3*u**x + 0*u + 0 - u**2.
-u**2*(u + 3)/3
Suppose -2*y + 11 = -3*y. Let s(p) = 9*p**4 - 5*p**2 + 6*p. Let o(a) = 18*a**4 - a**3 - 9*a**2 + 11*a. Let v(l) = y*s(l) + 6*o(l). Suppose v(d) = 0. What is d?
0, 1/3
Suppose -8 - 7 = -5*d. Let 4 - 7*r + 0*r - 6*r**2 + d*r + 2*r = 0. What is r?
-1, 2/3
Let u = 4 + 1. Suppose -u*b + 6 + 4 = 0. Factor 0*h**2 + b*h**2 + 0*h**2 - 2*h + 0*h**2.
2*h*(h - 1)
Suppose -40*f = -37*f - 21. Let l(r) be the first derivative of 8*r - f - 1/2*r**4 + 0*r**2 - 2*r**3. Let l(t) = 0. What is t?
-2, 1
Let t(a) be the third derivative of a**6/60 + 11*a**5/30 + 5*a**4/4 - 9*a**3 + 12*a**2 + 21*a. Let t(d) = 0. Calculate d.
-9, -3, 1
Let q(p) = -12*p**3 - 15*p**2 + 11*p - 14. Let z(s) = -2*s**3 - s**2 - 3*s. Let d(a) = -q(a) + 5*z(a). Factor d(f).
2*(f - 1)**2*(f + 7)
Let g = 3856 - 3856. Factor -6/11*f**4 - 8/11*f**5 + 0*f + 2/11*f**3 + g*f**2 + 0.
-2*f**3*(f + 1)*(4*f - 1)/11
Let i(j) be the second derivative of -j**7/70 + j**6/8 - 3*j**5/20 - 5*j**4/8 + 2*j**3 - 10*j**2 - 15*j. Let c(s) be the first derivative of i(s). Factor c(o).
-3*(o - 4)*(o - 1)**2*(o + 1)
Let g be 24*(-12)/(-336) + (-10)/(-21). Let -4/3*r**4 - 2/3*r + 0*r**3 + 2/3*r**5 + 0 + g*r**2 = 0. What is r?
-1, 0, 1
Let l be 48/210 - (-3)/42. Let x(c) be the first derivative of -1/5*c**3 + 9 + l*c**2 - 3/20*c**4 + 3/5*c. Suppose x(i) = 0. What is i?
-1, 1
Let k(u) be the second derivative of u**4/30 - u**3/15 + u + 4. What is q in k(q) = 0?
0, 1
Let m be (3/6 + 2)*(-168)/(-75). Let w = m + -242/45. Solve 2/9*n**4 - 2/3*n + 2/3*n**3 - 4/9 + w*n**2 = 0 for n.
-2, -1, 1
Let h(i) be the second derivative of -5*i**4/12 + 125*i**3/3 - 3125*i**2/2 - 87*i. Find b, given that h(b) = 0.
25
Let o(c) be the third derivative of 0*c**3 + 0 + 16*c**2 + 0*c**4 - 1/40*c**5 - 1/280*c**7 + 0*c + 3/160*c**6. Factor o(i).
-3*i**2*(i - 2)*(i - 1)/4
Let j be 10/(-39)*(-564)/235. Find u such that j + 2/13*u**2 - 8/13*u = 0.
2
Let h be (-40)/(-180) - (-3)/((-6750)/179). Let i = 3/125 + h. What is b in -1/3*b - i - 1/6*b**2 = 0?
-1
Let d(s) be the first derivative of s**6/1140 + s**5/228 - s**4/114 - 8*s**3/3 - 12. Let y(g) be the third derivative of d(g). Determine a so that y(a) = 0.
-2, 1/3
Let s(h) = -h**2 - 2*h + 5. Let o(x) be the first derivative of -x**3/3 - x**2 + 6*x - 17. Suppose 15 = -3*n - 6. Let v(g) = n*s(g) + 6*o(g). Factor v(u).
(u + 1)**2
Let g(y) be the first derivative of -y**4/18 + 8*y**3/27 - 4*y**2/9 + 2. Determine d so that g(d) = 0.
0, 2
Let v(h) be the second derivative of 0*h**2 + 0 + 5/3*h**4 + 5/6*h**3 + 7*h. Find u such that v(u) = 0.
-1/4, 0
Let w be (2/(-3))/((-10)/45). Factor -6 - 9*h + 3*h - w*h**2 - h - 2*h.
-3*(h + 1)*(h + 2)
Let n(y) be the first derivative of -y**4/6 + 14*y**3/9 - 14*y**2/3 + 16*y/3 - 18. Factor n(w).
-2*(w - 4)*(w - 2)*(w - 1)/3
Let x(h) be the first derivative of h**4/16 + 9*h**3/4 + 899. Factor x(b).
b**2*(b + 27)/4
Let t(h) be the second derivative of -h**7/56 - h**6/24 - h**5/40 - 11*h + 1. Find x such that t(x) = 0.
-1, -2/3, 0
Let k(b) be the first derivative of b**5/20 + 5*b**4/16 - b**3 - 10*b**2 - 16*b - 756. Determine h, given that k(h) = 0.
-4, -1, 4
Let l be (-6)/(-7)*(608/(-72) + 10). Let i(k) be the second derivative of -8*k + l*k**4 - 5/3*k**3 + 0 + k**2 - 2/5*k**5. Solve i(t) = 0.
1/2, 1
Let q(d) be the second derivative of 3/8*d**5 - 1/4*d**4 + 0*d**3 + 0 - 1/10*d**6 + 0*d**2 + 31*d. Factor q(c).
-3*c**2*(c - 2)*(2*c - 1)/2
Let m(q) be the first derivative of -5*q**6/6 + 6*q**5 + 25*q**4/2 - 100*q**3/3 - 45*q**2/2 + 70*q + 6. Let m(i) = 0. Calculate i.
-2, -1, 1, 7
Let b(y) be the second derivative of 0*y**5 - 1/10*y**6 + 0*y**2 + 0*y**3 + 0 + 48*y + 1/4*y**4. Let b(n) = 0. Calculate n.
-1, 0, 1
Suppose -n = 4*n - 25, 11 = 3*w + n. What is v in 3/2*v**w + 0 - 6*v = 0?
0, 4
Let k(i) = -i**2 + 14*i + 15. Let r(d) = 54*d - 19*d - 2*d**2 - 22*d + 0*d + 15. Let o(g) = 5*k(g) - 4*r(g). Factor o(y).
3*(y + 1)*(y + 5)
Let b be (-2)/13 + (2/4 - 3135/(-858)). Factor c**3 - 3/5*c**2 - c - 1/5*c**b + 4/5.
-(c - 4)*(c - 1)**2*(c + 1)/5
Let k(m) = m**4 + m**2 - m - 2. Let i(s) = 20*s**4 - 24*s**3 + 22*s**2 - 30*s - 60. Let r(o) = 2*i(o) - 60*k(o). Factor r(j).
-4*j**2*(j + 2)*(5*j + 2)
Factor 1875*a + 242 + 722*a - 5860 + 32*a**2 + 5*a**3 - 4*a**3 + 72*a**2.
(a - 2)*(a + 53)**2
Solve -1/3*u**4 + 25/3 + 55/6*u + 1/2*u**5 - 29/3*u**3 - 8*u**2 = 0 for u.
-10/3, -1, 1, 5
Let r(j) be the third derivative of 1/16*j**4 + 47*j**2 - 1/3*j**3 + 1/120*j**5 + 0 + 0*j. Solve r(v) = 0.
-4, 1
Let m(t) be the first derivative of t**5/10 - 3*t**4/4 + 4*t**3/3 - 46. Factor m(o).
o**2*(o - 4)*(o - 2)/2
Let u(s) be the second derivative of s**5/180 + s**4/12 + 4*s**3/9 + 17*s**2 - 36*s. Let a(t) be the first derivative of u(t). Factor a(f).
(f + 2)*(f + 4)/3
Let g be 0 + 2 + 5 + -4. Let d be -3 - -5 - ((1 - 1)/(-4))/2. Determine q so that 1/2*q**d + 9/2 + g*q = 0.
-3
Let v be ((-6)/(-12))/(2/12). Suppose -v*o = 5*k, -5*o = -k + 3*k. Factor -4/3*c**3 - 2/3*c**4 - 2/3*c**2 + 0 + o*c.
-2*c**2*(c + 1)**2/3
Let x(y) be the first derivative of -2*y**3/21 - 6*y**2 - 90. Solve x(k) = 0.
-42, 0
Factor -9 + 3*v + 27 - 679*v**2 + 337*v**2 + 336*v**2.
-3*(v - 2)*(2*v + 3)
Factor -7/4*r**2 - 9/4 - 1/4*r**3 + 17/4*r.
-(r - 1)**2*(r + 9)/4
Determine x, g