f(r).
2*(r - 2)*(r + 1)*(r + 2)/19
Let m = 896/1371 - -6/457. Let q = -6/11 - -40/33. Factor q*d - 2/3*d**2 + m - 2/3*d**3.
-2*(d - 1)*(d + 1)**2/3
Let i(y) be the second derivative of -y**7/105 + y**6/15 - y**5/10 - y**4/3 + 4*y**3/3 + 9*y**2/2 + 13*y. Let v(l) be the first derivative of i(l). Factor v(f).
-2*(f - 2)**2*(f - 1)*(f + 1)
Let u be 0/(-6 - (-1 + -1)). Let f(k) be the second derivative of -1/10*k**5 + 1/3*k**3 - 2*k**2 + 7*k + 1/3*k**4 + u. Solve f(h) = 0 for h.
-1, 1, 2
Let p(q) be the first derivative of -q**6/180 - q**5/20 - q**4/6 - 7*q**3/3 + 23. Let h(i) be the third derivative of p(i). Find o such that h(o) = 0.
-2, -1
Let q be -4 - ((-2)/(-20))/(4/(-70)). Let d = q + 31/12. Solve -1/2*y**2 + d - 1/6*y**3 + 1/6*y**4 + 1/6*y = 0.
-1, 1, 2
Let f(n) be the first derivative of 0*n**3 + n - 1/5*n**5 - 1/2*n**4 + n**2 + 23. Suppose f(t) = 0. What is t?
-1, 1
Let k be ((-1)/(-4))/(6/(-36))*-2. Let v(w) be the first derivative of 4/5*w**2 - 2/25*w**5 + 2/5*w**4 - 4/5*w**k - 2/5*w - 2. Factor v(b).
-2*(b - 1)**4/5
Let q(f) be the second derivative of 0 + 5/42*f**7 + 0*f**2 + 0*f**3 + 1/3*f**6 + 8*f + 0*f**4 + 1/4*f**5. Suppose q(w) = 0. Calculate w.
-1, 0
Let n(r) = -r**3 - 8*r**2 - 6*r + 11*r**2 - 6 - 8*r**2. Let l be n(-4). Suppose -l*p**3 - 4*p**3 - 12*p**2 + 4*p**2 - p + p**5 - 2*p = 0. What is p?
-1, 0, 3
Factor 8/3*i**2 + 0 - 10/3*i + 2/3*i**3.
2*i*(i - 1)*(i + 5)/3
Let z(f) be the first derivative of 5*f**4/4 - 5*f**3 - 45*f**2/2 - 25*f + 1. What is g in z(g) = 0?
-1, 5
Suppose -m + 2 = -1. Suppose 2*j - 6 = 0, -5*g + 0 = 5*j - 25. Factor 0*f + 0 - 1/3*f**g - 1/6*f**m.
-f**2*(f + 2)/6
Suppose -2*v = -32*h + 29*h, 2*v - 10 = -2*h. Factor -242/5*x**4 + 104/5*x - 8/5 - 426/5*x**h + 572/5*x**3.
-2*(x - 1)**2*(11*x - 2)**2/5
What is g in 2*g - 3*g**2 + 3 - 7*g + 8*g - 582*g**3 + 579*g**3 = 0?
-1, 1
Let i(s) be the second derivative of 0*s**2 - 31*s - 1 - 1/21*s**3 + 1/21*s**4 - 1/70*s**5. Determine u, given that i(u) = 0.
0, 1
Let g(n) be the first derivative of n**5/10 + 2*n**4/3 + n**3 + 10*n - 51. Let d(v) be the first derivative of g(v). Factor d(l).
2*l*(l + 1)*(l + 3)
Let d be -11 + 14 + 0 + 3. Factor 0*u**3 + 4*u**3 + d*u**2 - 2*u**4 + 0*u**3 - 16*u + 8.
-2*(u - 2)*(u - 1)**2*(u + 2)
Let a = 6 + -3. Let y(n) = -4*n + 461*n**3 - 5*n**4 - 451*n**a + 0*n. Let m(w) = 5*w**4 - 10*w**3 + 5*w. Let c(i) = 4*m(i) + 5*y(i). Let c(b) = 0. Calculate b.
0, 2
Let v = 10/359 - -628/3231. Suppose -v*h**3 + 0 + 2/9*h**2 + 0*h = 0. Calculate h.
0, 1
Factor -n**4 - 3*n**3 + 11/4*n + 3/2 + 1/4*n**5 - 1/2*n**2.
(n - 6)*(n - 1)*(n + 1)**3/4
Let l(g) = g**2 + g - 1. Let n(s) = 18*s + 50. Let r(z) = -2*l(z) - n(z). Factor r(w).
-2*(w + 4)*(w + 6)
What is f in -4*f**3 + 722 - 722 - 8*f**4 - f**5 - 3*f**5 = 0?
-1, 0
Let v(m) be the third derivative of 0 + 0*m - 4/21*m**4 + 9*m**2 + 4/21*m**3 - 3/70*m**5. Determine n so that v(n) = 0.
-2, 2/9
Let x(p) be the first derivative of -p**4/48 - p**3/36 + p**2/4 - 93. Factor x(y).
-y*(y - 2)*(y + 3)/12
Let p(q) be the second derivative of -q**7/14 + q**6/5 - q**4/2 + q**3/2 - 26*q - 3. Find r, given that p(r) = 0.
-1, 0, 1
Let v(c) be the second derivative of c**7/210 - c**6/50 + c**4/15 - 37*c. Factor v(l).
l**2*(l - 2)**2*(l + 1)/5
Suppose 4*k = -4*f, 3*f - 20 = -3*k + 5*f. Suppose -4*p = k*t, -4*p = 2*t - 5*p. Determine c, given that -2*c**3 + t - 6 - 2*c**4 + 2*c**2 + 2*c + 6 = 0.
-1, 0, 1
Let w be ((-182)/104)/(35/(-8)). Let 2/5*g**3 - 2/5 + 2/5*g**2 - w*g = 0. What is g?
-1, 1
Let s(x) be the third derivative of -x**7/1260 - 7*x**6/720 - 17*x**5/360 - 17*x**4/144 - x**3/6 + x**2 - 28*x. Factor s(h).
-(h + 1)**2*(h + 2)*(h + 3)/6
Let n(d) be the first derivative of -11 + 1/2*d**3 + 0*d + 3/40*d**5 - 3/8*d**4 + 0*d**2. Factor n(u).
3*u**2*(u - 2)**2/8
Let n(q) be the third derivative of 0 + 1/840*q**6 - 1/84*q**4 - 1/420*q**5 + 0*q + 0*q**3 - 15*q**2. Factor n(h).
h*(h - 2)*(h + 1)/7
Let z(h) = -5*h**3 + 80*h**2 - 205*h + 160. Let g(j) = -j**2 + 2. Let a(w) = -30*g(w) + z(w). Factor a(i).
-5*(i - 20)*(i - 1)**2
What is t in -46/5*t - 8/5*t**2 - 12*t**4 + 134/5*t**3 + 12/5 = 0?
-3/5, 1/3, 1/2, 2
Let h = 54 - 51. Factor -3*k + k**3 - 6 + h*k**2 + 9 - 2*k**3 - 2.
-(k - 1)**3
Let h(m) be the third derivative of m**6/24 + m**5 + 15*m**4/8 - 55*m**3/3 + 28*m**2. Find t such that h(t) = 0.
-11, -2, 1
Let u(d) be the third derivative of d**11/498960 - d**10/113400 + d**9/90720 + 4*d**5/15 + 9*d**2. Let g(f) be the third derivative of u(f). Factor g(b).
2*b**3*(b - 1)**2/3
Let h(p) be the third derivative of 2*p**7/735 - 2*p**6/105 - 2*p**5/21 + 2*p**4/3 - 10*p**3/7 - 41*p**2. Factor h(b).
4*(b - 5)*(b - 1)**2*(b + 3)/7
Determine b, given that 400 - 2/9*b**5 - 40/3*b**4 + 364/9*b**2 - 598/3*b**3 + 1880/3*b = 0.
-30, -1, 2
Determine k so that 16*k - 4/7*k**3 + 0 - 48/7*k**2 = 0.
-14, 0, 2
Let q be (-12)/(-1) - (-4558)/(-387). Factor -8/9*i**2 - 8/9*i**3 - q*i**4 + 0 + 0*i.
-2*i**2*(i + 2)**2/9
Let j(r) = -3*r**5 - 13*r**4 - 10. Let x(u) = 8*u**5 + 32*u**4 + 24. Let b(y) = -12*j(y) - 5*x(y). Factor b(k).
-4*k**4*(k + 1)
Let h(x) be the second derivative of 12*x - 3/2*x**2 - 7/36*x**4 + 1/60*x**5 - 3 - 17/18*x**3. Let h(r) = 0. Calculate r.
-1, 9
Find a, given that -6*a**3 - 3*a**2 + 0 + 0*a + 15/4*a**4 = 0.
-2/5, 0, 2
Let i be (7 + -1)*357/1190. Let 18/5*b**2 + 0*b**3 - 3/5*b**4 + 24/5*b + i = 0. Calculate b.
-1, 3
Let w be -12 - -1 - (29835/60)/(-39). Factor w*z**2 + 7/2 - 51/4*z.
(z - 7)*(7*z - 2)/4
Factor 81*a**3 - 163*a**3 - 174*a**3 - 4092*a**2 - 4*a**4 + 230*a + 4096 + 26*a.
-4*(a - 1)*(a + 1)*(a + 32)**2
Let j be 3 - -6 - (-1 - -5). Solve 14 - 5*i**2 - 14 + 5*i**4 - 5*i**3 + j*i**5 = 0 for i.
-1, 0, 1
Let o be (-10)/(-45)*(-39)/(-26). Find t such that -t**4 + 2/3*t**2 + 1/3 + t - o*t**5 - 2/3*t**3 = 0.
-1, 1
Let n = -960 + 960. Let z = 102 - 507/5. Factor -z*w**3 + 9/5*w**5 + n*w + 0*w**2 + 6/5*w**4 + 0.
3*w**3*(w + 1)*(3*w - 1)/5
Let p be 1036/(-70) - (2 + -2). Let c = p - -82/5. Let -8/5*x**2 - 4*x**3 + 4*x + c = 0. Calculate x.
-1, -2/5, 1
Let u(v) = 152*v**2 + 532*v - 120. Let h(l) = 22*l**2 + 76*l - 17. Let f(z) = 20*h(z) - 3*u(z). Factor f(o).
-4*(o + 5)*(4*o - 1)
Let s(k) be the second derivative of k**4/9 - 40*k**3/3 + 600*k**2 + 43*k + 1. Factor s(j).
4*(j - 30)**2/3
Let f(o) be the first derivative of 5*o**6/6 - 13*o**5 + 35*o**4 + 160*o**3/3 - 320*o**2 + 400*o + 354. Find m such that f(m) = 0.
-2, 1, 2, 10
Suppose -o + 4*k - 10 = 0, 3*o + 5*k - 50 = k. Factor 3*g**4 + 18*g**3 - 29*g**5 + 33*g + 26*g**5 + 1 - o - 42*g**2.
-3*(g - 1)**4*(g + 3)
Suppose -3*v = 2*v - 2*c - 18, 5*c + 14 = -3*v. Let x(r) be the first derivative of -3 - 2/9*r**3 - 4/3*r + r**v. Find j such that x(j) = 0.
1, 2
Suppose 6*h - 6*h**3 - 2*h**4 + 2*h**5 + 5*h + 2*h**2 - 7*h = 0. What is h?
-1, 0, 1, 2
Let d(l) be the first derivative of -1/12*l**4 - 1/3*l**3 + 2/3*l**2 + 0*l - 14. Let d(p) = 0. What is p?
-4, 0, 1
Let b(r) be the third derivative of -r**8/2240 - r**7/1680 + r**6/120 - r**5/15 + 3*r**2. Let j(f) be the third derivative of b(f). Factor j(l).
-3*(l + 1)*(3*l - 2)
Let t(m) be the third derivative of -m**5/20 - 3*m**4/8 - 2*m**2 + 5*m. Solve t(n) = 0 for n.
-3, 0
Let b(d) be the second derivative of -3/5*d**5 - 1/2*d**4 - 3*d**2 + 0 + 5/2*d**3 - 1/14*d**7 + 2/5*d**6 + 2*d. Factor b(u).
-3*(u - 2)*(u - 1)**3*(u + 1)
What is i in -8/3*i**3 + 8 - 2/9*i**4 - 6*i**2 + 8/9*i = 0?
-9, -2, 1
Find g such that -22*g**2 - 40*g + 7*g + 3*g**3 - 8*g**3 - 27*g + 57*g**2 = 0.
0, 3, 4
Find c such that 239*c**3 + 154*c**5 + 41*c**3 + 150*c**4 - 149*c**5 - 140 - 10*c**2 - 285*c = 0.
-28, -1, 1
Let s(p) be the third derivative of 0 - 1/96*p**4 - 1/240*p**6 - 1/96*p**5 + 0*p + 0*p**3 + 12*p**2 - 1/1680*p**7. Suppose s(n) = 0. What is n?
-2, -1, 0
Suppose 2*c - 180 = -13*c. Let m be (-3)/(7/((-140)/c)) - 3. Factor 0 + 3*z - 15/4*z**3 - 6*z**m.
-3*z*(z + 2)*(5*z - 2)/4
Let u(g) = -g**5 + g**4 - g**3 - g + 1. Let k(f) = 4*f**5 - 20*f**4 - 57*f**3 - 34*f**2 + 68*f + 44. Let r(s) = k(s) + 5*u(s). Let r(b) = 0. What is b?
-7, -1, 1
Let p be 672/126*(-18)/(-16). Let h(y) be the second derivative of -1/105*y**p + 1/14*y**4 + 0 + 1/21*y**3 - 1/70*y**5 - 2/7*y**2 + 4*y. What is r in h(r) = 0?
-2, -1, 1
Let d(u) be the first derivative of 