 + 0*l**2 + 0*l**3 + 5/4*l**4 + 1/6*l**6 - 12*l. Factor m(i).
5*i**2*(i + 1)*(i + 3)
Let v = -100743/7 + 14399. Solve 228/7*f**2 + v*f**4 + 190/7*f**3 + 104/7*f + 16/7 = 0 for f.
-2, -1, -2/5
Let g(p) be the third derivative of -p**10/75600 + p**8/5040 - p**6/360 - 19*p**5/60 - 15*p**2. Let s(r) be the third derivative of g(r). Factor s(w).
-2*(w - 1)**2*(w + 1)**2
Let b(p) = -4*p**3 + p**2 - 2*p - 3. Let o be b(-1). Factor 19*u**4 - 2*u - 6*u**3 + 2*u + 4*u**2 - 17*u**o.
2*u**2*(u - 2)*(u - 1)
Let m(z) be the second derivative of 7*z**6/150 - 47*z**5/100 + 7*z**4/30 + 46*z**3/15 + 12*z**2/5 + 33*z. Solve m(k) = 0 for k.
-1, -2/7, 2, 6
Let o(t) be the third derivative of -10/3*t**3 + 21*t**2 + 0*t + 0 - 7/6*t**6 - 15/4*t**5 + 35/6*t**4 + 7/6*t**7. Determine a so that o(a) = 0.
-1, 2/7, 1
Let p = 376 - 372. Let h(s) be the second derivative of 4/9*s**3 + 0*s**2 - 4*s + 0 + 1/30*s**5 - 2/9*s**p. Suppose h(l) = 0. Calculate l.
0, 2
Let p be 8 + 5 + -2 + -9. Let f be (-3 + p)*16/(-32). Let 0 - 1/2*l + 0*l**2 + f*l**3 = 0. Calculate l.
-1, 0, 1
Let x(h) = h**2 - 2*h + 1. Let g be x(1). Let t(z) be the second derivative of 2*z**2 - 2*z + 0 + g*z**3 - 1/12*z**4. Factor t(s).
-(s - 2)*(s + 2)
Let y(v) = -v**2 + 18*v + 47. Let g be y(20). Find k such that -2*k**3 - g*k**4 + 3*k**3 + 6*k**4 = 0.
0, 1
Factor 0 + 13/2*b**3 - 7*b**2 + 0*b + 1/2*b**4.
b**2*(b - 1)*(b + 14)/2
Let x be 138/(-161) + (-4888)/14. Let v = 2454/7 + x. Factor 0*k + v*k**3 + 0 + 4/7*k**2.
4*k**2*(k + 1)/7
Let g be 0/(1*(8 + -9)). Let x(d) be the first derivative of -12*d**3 - 6*d**4 - 4/5*d**5 - 6 + 0*d + g*d**2. Solve x(a) = 0 for a.
-3, 0
Let r(p) = p**2 - 4*p - 2. Let b(n) = 9*n**2 + 14*n - 28. Let w(o) = -b(o) + 5*r(o). Factor w(i).
-2*(i + 9)*(2*i - 1)
Let c = -96 - -54. Let h be (-80)/14*c/12. Let -4*r**3 - 4 - 16*r**2 - 2 - h*r - 2 = 0. Calculate r.
-2, -1
What is s in -3/2*s**3 - 3 + 11/2*s - 3/2*s**2 + 1/2*s**4 = 0?
-2, 1, 3
Let -21/4*r - 11/2 + 1/4*r**2 = 0. What is r?
-1, 22
Factor -28/5*k + 176/5 - 4/5*k**2.
-4*(k - 4)*(k + 11)/5
Let g(o) be the third derivative of -o**8/84 + 2*o**7/105 + 7*o**6/10 - 41*o**5/15 + 10*o**4/3 + 196*o**2. Solve g(a) = 0 for a.
-5, 0, 1, 4
Factor -14/5 - 8/5*u**3 - 64/5*u**2 - 58/5*u.
-2*(u + 7)*(2*u + 1)**2/5
Solve -520*f - 9326*f**3 - 1821*f**3 - 1554*f**3 - 5070*f**2 + 1716*f**3 - 260*f - 40 = 0.
-2/13
Find z, given that 36/13*z**3 - 810*z - 12150/13 + 42/13*z**4 - 2484/13*z**2 - 2/13*z**5 = 0.
-3, 15
Let h = -20 - -75. Suppose 30*i = 35*i - h. Find b such that i*b - b + 4*b - 3*b**2 - 48 + 10*b = 0.
4
Let n(k) = -2*k - 4 - 2*k**3 + 14*k**2 + 14*k + 5*k. Let z be n(8). Factor 28/3*w**4 - 16*w**3 + 0 + z*w**2 + 8/3*w.
4*w*(w - 1)**2*(7*w + 2)/3
Let w be 9*20/(-360)*-6. Factor 4/9 + 2*q - 16/3*q**2 + 26/9*q**w.
2*(q - 1)**2*(13*q + 2)/9
Let f = -2521 - -2523. Find j such that -f*j**3 + 10/3*j**2 + 0 + 4/3*j = 0.
-1/3, 0, 2
Let j(y) = 11*y**2 - 8*y - 1. Let a(f) = -f**2 - 1. Suppose n - 4*x = -n + 16, 2*n + 5*x = -29. Let u(v) = n*j(v) - 18*a(v). Factor u(h).
-4*(h - 5)*(h + 1)
Let s(d) = 2*d**2 + 10*d + 36. Let k(y) = y**2 + 9*y + 35. Let v(z) = 3*k(z) - 2*s(z). Let f be v(10). Factor 0 + 0*w - 2/3*w**f + 1/3*w**2 + 1/3*w**4.
w**2*(w - 1)**2/3
Let q(j) be the second derivative of -j**10/630 - j**9/210 - 9*j**8/2240 - j**7/840 + j**4 - 4*j. Let o(t) be the third derivative of q(t). Factor o(f).
-3*f**2*(f + 1)*(4*f + 1)**2
Let z be (0/(6 - -9))/(-7). What is x in -18/17*x**5 + 0 + 4/17*x**2 - 26/17*x**3 + 40/17*x**4 + z*x = 0?
0, 2/9, 1
Let p(l) = 5*l**3 + 2*l**2 + 11*l + 9. Let k(y) = 13*y**3 + 5*y**2 + 32*y + 28. Let r(j) = 3*k(j) - 8*p(j). Determine d, given that r(d) = 0.
-2, 3
Find t such that -32*t - 9*t**5 + 4*t**5 - 21*t**2 + 7*t**4 + 16 + 28*t**3 - 11*t**2 = 0.
-2, -1, 2/5, 2
Suppose 3*h + 11 - 41 = 0. Suppose 2*a + 23 = a - 5*i, 2*i + 10 = 0. Factor -6*o**4 - 8*o**3 - 2*o**5 - 2*o**2 - 2*o**4 + h*o + 4 + 6*o**a.
-2*(o - 1)*(o + 1)**3*(o + 2)
Let d(k) be the third derivative of 0 - 1/240*k**5 - 1/96*k**4 + 1/12*k**3 + 9*k**2 + 0*k. Factor d(y).
-(y - 1)*(y + 2)/4
Let l = 33 + -31. Let w be l/5 + (-144)/(-40). Solve -12*f**5 + 7*f + f + 8*f**3 + 0*f**3 - 20*f**4 - w*f**3 + 20*f**2 = 0 for f.
-1, -2/3, 0, 1
Let z(k) be the second derivative of k**7/630 + k**6/120 - k**4/18 - 3*k**2/2 + 13*k. Let d(p) be the first derivative of z(p). Factor d(v).
v*(v - 1)*(v + 2)**2/3
Let z = 68780/9 - 7642. Find v, given that -2/9*v + z*v**3 + 4/9 - 4/9*v**2 = 0.
-1, 1, 2
Let z(o) be the third derivative of -11*o**8/84 + 46*o**7/105 + 43*o**6/15 - 8*o**5/15 + 13*o**2 - 5*o. Let z(d) = 0. What is d?
-2, 0, 1/11, 4
Let z(n) be the second derivative of n**5/30 + 7*n**4/18 + 14*n**3/9 + 8*n**2/3 - 4*n - 9. Factor z(x).
2*(x + 1)*(x + 2)*(x + 4)/3
Let s(v) be the second derivative of 0 - 2/27*v**3 + 1/54*v**4 - 1/3*v**2 - v. Solve s(w) = 0 for w.
-1, 3
Let h be (-72 - -62) + 42/4. Determine s so that h*s + 1 - 1/2*s**2 = 0.
-1, 2
Let h(b) be the first derivative of -7*b**6/36 + b**5 - 11*b**4/12 - 4*b**3/3 + 29*b**2/12 - b - 66. Let h(g) = 0. Calculate g.
-1, 2/7, 1, 3
What is c in 3336*c**4 + 28*c**3 - 3336*c**4 + 32 - 8*c**2 - 48*c - 4*c**5 = 0?
-2, 1, 2
Determine w, given that -2 + 23/6*w - 1/6*w**3 - 5/3*w**2 = 0.
-12, 1
Let h(i) = -i**5 + 10*i**4 - 2*i**2 - 7*i + 8. Suppose 52 = 5*o - 68. Let u(q) = q**4 - q + 1. Let y(a) = o*u(a) - 3*h(a). Factor y(t).
3*t*(t - 1)**3*(t + 1)
Let r(o) be the third derivative of 8/3*o**3 + 0 + 1/20*o**6 - o**4 + 1/15*o**5 - 10*o - 2*o**2 - 1/105*o**7. Solve r(h) = 0.
-2, 1, 2
Suppose 6*w - 46*w + 82 = w. Suppose 2/5*f**w + 2/5*f**4 - 4/5 + 6/5*f**3 - 6/5*f = 0. What is f?
-2, -1, 1
Let y be (-25 - -39)*(-2)/(-7). Let a(o) be the second derivative of -6*o + 0 + 0*o**2 + 0*o**3 + 1/24*o**y + 1/40*o**5. Factor a(r).
r**2*(r + 1)/2
Let m(s) be the third derivative of s**7/1260 - s**6/90 + s**5/60 + 5*s**4/18 + 25*s**3/36 - 18*s**2. What is v in m(v) = 0?
-1, 5
Let i(p) be the second derivative of -10*p**7/21 + 116*p**6/15 + 234*p**5/5 + 304*p**4/3 + 326*p**3/3 + 60*p**2 + 636*p. Find f such that i(f) = 0.
-1, -2/5, 15
Factor 0*r + 4/3*r**2 + 3/2*r**3 + 1/6*r**4 + 0.
r**2*(r + 1)*(r + 8)/6
Let a(v) be the first derivative of -7/15*v**3 + 44 + 18/5*v + 3/2*v**2 + 1/25*v**5 - 3/20*v**4. Suppose a(c) = 0. Calculate c.
-2, -1, 3
Let i(w) be the second derivative of -w**6/30 + 11*w**5/60 - w**4/6 - 82*w. Factor i(z).
-z**2*(z - 3)*(3*z - 2)/3
Determine x, given that x**5 - 1/7*x**2 - 6/7*x + 25/7*x**4 + 0 + 23/7*x**3 = 0.
-2, -1, 0, 3/7
Let z be 176/24*(-9)/(-6) - 6. Let d(s) be the second derivative of 3/16*s**z + 5/4*s**2 - 5/48*s**4 + 0 - 3*s - 1/24*s**6 - 5/8*s**3. Solve d(f) = 0 for f.
-1, 1, 2
Let c(o) be the first derivative of -o**4/8 - 80*o**3 - 19200*o**2 - 2048000*o - 990. Find l, given that c(l) = 0.
-160
Solve -291/8*d**2 - 3/8*d**4 - 99*d + 33/4*d**3 - 54 = 0 for d.
-1, 12
Let -210*h - 180 - 5/4*h**4 - 35/2*h**3 - 365/4*h**2 = 0. What is h?
-4, -3
Let t(n) = -13*n**2 + 774*n + 16630. Let p(h) = -5*h**2 + 258*h + 5543. Let z(r) = 11*p(r) - 4*t(r). Determine m, given that z(m) = 0.
-43
Let b = 782 - 777. Let t(x) be the first derivative of -4/45*x**6 + 2/15*x**4 - 9 + 2/75*x**b + 0*x**2 - 2/45*x**3 + 0*x. Suppose t(f) = 0. What is f?
-1, 0, 1/4, 1
Let o(k) = k**2 - 22*k + 75. Let y be o(4). Let g(i) be the first derivative of -1/6*i**y - 1/2*i + 4 + 1/2*i**2. Factor g(n).
-(n - 1)**2/2
Let y = -39 - -43. Solve h**2 + h**2 + 5*h**y - 7*h**4 = 0.
-1, 0, 1
Let s(k) = k**2 - k + 5. Let u(m) = 147*m + 1713. Let r(d) = 3*s(d) + u(d). Find a such that r(a) = 0.
-24
Let u = -96 + 98. Let o be 264/(-110) + 6/u. Let -o*l**2 - 24/5*l - 48/5 = 0. Calculate l.
-4
Let s(m) be the second derivative of m**4/42 - 37*m**3/21 - 120*m**2/7 - m + 151. Factor s(k).
2*(k - 40)*(k + 3)/7
Solve -22 + 668*x + 26 - 24 - 68445*x**2 + 1672*x = 0.
2/117
Let s(f) be the first derivative of -3*f + 0*f**2 - 5 + 1/2*f**3 + 0*f**4 - 3/20*f**5. Let v(m) be the first derivative of s(m). Suppose v(o) = 0. What is o?
-1, 0, 1
Suppose 5*p + 4*z = -8, -7*p = -4*p - 2*z - 4. Let u(k) be the first derivative of -6 + p*k**2 - 1/18*k**3 + 1/6*k. Factor u(m).
-(m - 1)*(m + 1)/6
Factor 0*i**5 - i**4 - 12 + 2*i**3 - 9*i + 11*i**3 - 4*i**3 + 5*i**2 - 7*i - i**