ctor -9*f**3 - 255*f**5 + 250*f**5 + 14*f**3.
-5*f**3*(f - 1)*(f + 1)
Let l(w) be the second derivative of 0*w**2 + w**3 - 1/12*w**4 + 5*w - 1/40*w**5 - 1/360*w**6 + 0. Let r(j) be the second derivative of l(j). Factor r(h).
-(h + 1)*(h + 2)
Factor 142*o + 2*o**4 - 28*o**2 - 22*o**4 + 4*o**5 + 36*o**3 - 134*o.
4*o*(o - 2)*(o - 1)**3
Suppose 17*t - 14 = 10*t. Let w(h) be the second derivative of -4/3*h**4 + 0 - 4*h**t + 1/5*h**5 - 6*h + 10/3*h**3. What is l in w(l) = 0?
1, 2
Let s = -32 + 35. Determine t so that 4*t - 5*t**5 + t**5 - 8*t + 8*t**s = 0.
-1, 0, 1
Suppose -12/7*g**3 + 18/7*g**4 - 18/7*g**2 + 0 - 3/7*g**5 + 15/7*g = 0. What is g?
-1, 0, 1, 5
Let f(c) = 2*c**3 - 3*c**2 - 45*c + 103. Let x be f(4). Let w = 11 - 7. Factor 0 - 9/4*a**w - 3/2*a**x - 3/4*a**5 + 0*a**2 + 0*a.
-3*a**3*(a + 1)*(a + 2)/4
Let n(t) be the second derivative of t**4/6 - 4*t**3/3 + 4*t**2 - t - 26. Factor n(q).
2*(q - 2)**2
Let f(w) be the third derivative of -23*w**5/50 + 47*w**4/40 - w**3/10 + 6*w**2 - 4. Determine y so that f(y) = 0.
1/46, 1
Let b(k) be the third derivative of -1/30*k**5 - 1/3*k**4 - 20*k**2 + 0*k + 1/60*k**6 + 0 + 4/3*k**3. Factor b(c).
2*(c - 2)*(c - 1)*(c + 2)
Let y(f) be the first derivative of f**7/1260 + f**6/720 - f**5/72 + f**4/48 - 7*f**2/2 - 23. Let t(o) be the second derivative of y(o). Factor t(i).
i*(i - 1)**2*(i + 3)/6
Let u(d) be the third derivative of d**5/12 + 15*d**4/4 + 85*d**3/6 + 332*d**2. Let u(s) = 0. What is s?
-17, -1
Factor 1/2*r**3 - 61/2*r**2 + 61/2 - 1/2*r.
(r - 61)*(r - 1)*(r + 1)/2
Suppose -8*v - 63 - 161 = 0. Let u = v + 31. Solve 4/5 + 16/5*a + 3/5*a**5 + 9/5*a**2 - a**4 - 11/5*a**u = 0.
-1, -1/3, 2
Let x be ((-4)/45)/(-12*(-10)/(-540)). Factor -i**4 + x*i**2 + 0*i + 0 - 3/5*i**3.
-i**2*(i + 1)*(5*i - 2)/5
Let u(o) be the first derivative of o**6/1800 - o**5/120 + o**4/30 + 7*o**3/3 - 10. Let q(y) be the third derivative of u(y). Factor q(k).
(k - 4)*(k - 1)/5
Let d(i) = -11*i**2 - 117*i - 721. Let s(n) = -6*n**2 - 57*n - 360. Let v(m) = 3*d(m) - 5*s(m). Find h such that v(h) = 0.
-11
Solve 0*j + 0*j**2 + 0 - 5/6*j**3 + 1/6*j**4 = 0 for j.
0, 5
Let x(j) be the second derivative of j**8/43680 + j**7/16380 - j**6/2340 - 5*j**4/3 - 9*j. Let k(b) be the third derivative of x(b). What is l in k(l) = 0?
-2, 0, 1
Let f = -1856 - -1858. Factor 1/3 - 1/6*l**f - 1/6*l.
-(l - 1)*(l + 2)/6
Suppose 0 + 1/3*x**2 + 5/3*x = 0. What is x?
-5, 0
Let d(p) be the first derivative of -p**4/12 - 4*p**3/9 + 11*p**2/6 - 2*p - 26. Solve d(v) = 0.
-6, 1
Let t(l) be the first derivative of 2/3*l**4 + 1/6*l**2 + 16/15*l**5 - 7/9*l**3 + 8 + 0*l. Solve t(g) = 0 for g.
-1, 0, 1/4
Let c(x) be the first derivative of 1/18*x**4 + 0*x**2 - 1/27*x**6 + 0*x**5 + 11 + 0*x**3 + 0*x. Factor c(b).
-2*b**3*(b - 1)*(b + 1)/9
Let j be -4 + (-96)/(-20) - (-91)/5. Suppose -2*c = -4*c - j*c. Factor -3/7*m**2 - 3/7*m + c.
-3*m*(m + 1)/7
Let f(b) be the second derivative of b**6/240 - 3*b**5/160 + b**4/32 - b**3/48 + 15*b - 7. What is u in f(u) = 0?
0, 1
Let -2/3*u**3 - 2/3*u**4 + 0*u**2 + 0*u + 0 = 0. Calculate u.
-1, 0
Let p(r) be the first derivative of r**6/30 + r**5/10 + r**4/12 - 24*r + 23. Let a(b) be the first derivative of p(b). Determine o, given that a(o) = 0.
-1, 0
Factor 421*x**3 + x**2 - 423*x**3 + 0*x**2.
-x**2*(2*x - 1)
Let y = 80 + -76. Find j, given that -20*j**2 - y*j**3 - 887 + 887 = 0.
-5, 0
Let i(y) be the third derivative of y**8/26880 + y**7/10080 - y**6/2880 - y**5/480 - y**4/2 - 5*y**2. Let d(r) be the second derivative of i(r). Factor d(m).
(m - 1)*(m + 1)**2/4
Let c(p) = p**3 + 16*p**2 + 53*p + 63. Let h be c(-12). Factor 0 + 0*j + 8/7*j**h - 2/7*j**4 - 8/7*j**2.
-2*j**2*(j - 2)**2/7
Suppose 16*y + 234 = 108*y + 25*y. What is x in -1/4*x - 3/2 + 1/4*x**y = 0?
-2, 3
Let v(j) be the second derivative of 3/40*j**5 - 3*j + 0*j**2 + 0 + 0*j**3 + 0*j**4 - 1/20*j**6. Factor v(b).
-3*b**3*(b - 1)/2
What is z in 379*z**4 - z**5 - 821*z**2 - 15*z**5 - 15*z**5 + 3*z**5 + 665*z - 98 - 1177*z**3 = 0?
-1, 1/4, 2/7, 7
Let y(j) = -j**2 - 8*j - 5. Let l be y(-5). Suppose l = -p + 10. Solve p - 2/3*c**5 + 0*c**4 + 0*c + 2/3*c**3 + 0*c**2 = 0.
-1, 0, 1
Let l = -7/82 - -363/410. Factor 2/5*r**4 + l*r**2 + 0 + 0*r + 6/5*r**3.
2*r**2*(r + 1)*(r + 2)/5
Let a(x) = x**4 + x + 1. Let t(s) = -4*s - 16*s - 16*s**4 + 23*s**2 - 27*s**2 - 20. Let q(v) = -20*a(v) - t(v). Factor q(i).
-4*i**2*(i - 1)*(i + 1)
Suppose -2*v = 23 + 1. Let r(b) = -b**3 - 1. Let j(f) = -5*f**3 + 4*f**2 - 3*f - 4. Let l(m) = v*r(m) + 3*j(m). Solve l(z) = 0.
0, 1, 3
Let y be (3/(-28))/(83/(-581)). Determine g, given that 0 - 3/4*g**3 + y*g**4 - 3/2*g**2 + 0*g = 0.
-1, 0, 2
Let g be (-261)/(-58)*10/9. Let z(a) be the third derivative of -a**2 - 11/96*a**4 + 1/6*a**3 - 1/480*a**6 + 0*a - 1/840*a**7 + 0 + 3/80*a**g. Factor z(x).
-(x - 1)**3*(x + 4)/4
Let s be (-21)/(2310/(-20)) + 34/55. Factor 0*v**2 - 2/5*v**4 + 4/5*v + 2/5 - s*v**3.
-2*(v - 1)*(v + 1)**3/5
Let l(r) be the first derivative of r**6/30 - 7*r**5/25 + 68*r**3/15 - 16*r**2/5 - 192*r/5 - 49. Let l(p) = 0. What is p?
-2, 3, 4
Let q(j) be the third derivative of 1/132*j**4 - 1/660*j**6 + 0*j + 0*j**3 + 0*j**5 - 12*j**2 + 0. Factor q(u).
-2*u*(u - 1)*(u + 1)/11
Let r(p) = -5*p**2 + 252*p - 16131. Let t(c) = 12*c**2 - 503*c + 32263. Let j(g) = 10*r(g) + 4*t(g). Factor j(f).
-2*(f - 127)**2
Let i be 6*((-672)/(-18))/2. Let t = i + -110. Factor 0 - 1/2*c**t - c.
-c*(c + 2)/2
Let s(w) = -4*w + 15. Let d be s(3). Factor -3*p**5 - 45*p + 27*p + 4*p**d - 8*p**4 + p**5 + 0*p**3 + 24*p**2.
-2*p*(p - 1)**2*(p + 3)**2
Let q(p) = -2*p**2 + 11*p - 3. Let n be q(5). Let l = 9 + -6. Let -2*y - 16*y**2 - 10*y**l - y**4 - y**4 + 2*y**n - 4*y = 0. Calculate y.
-3, -1, 0
Suppose 40*o + 54*o = -17*o + 4*o. Factor 0*r**2 - 2/5*r**3 + o*r - 4/5*r**4 + 0 - 2/5*r**5.
-2*r**3*(r + 1)**2/5
Let b(k) be the second derivative of -10*k**6/9 + 23*k**5/6 - k**4 - 28*k**3/9 + 8*k**2/3 - 8*k + 11. Find n such that b(n) = 0.
-1/2, 2/5, 2
Suppose -5*m + 7*w - 2*w - 10 = 0, -3 = 4*m - 3*w. Let k = 592 + -590. Suppose -2/11*i - 2/11*i**k + 2/11 + 2/11*i**m = 0. What is i?
-1, 1
Let u(n) = 36*n**4 + 12*n**3 - 36*n**2 - 12*n. Let f be -1 + 14/(3/(-3)*1). Let d(a) = a**4 - a**3. Let b(r) = f*d(r) + u(r). What is v in b(v) = 0?
-2, -2/7, 0, 1
Let y be ((-2)/(-10))/((-3)/(-30)). Suppose 2 + 2 = 4*n, -4*n - 4 = -y*d. Let 0*q**3 - 4/5*q + 8/5*q**2 + 0 - 8/5*q**d + 4/5*q**5 = 0. What is q?
-1, 0, 1
Let l(b) be the second derivative of -b**5/40 + 5*b**4/6 + 5*b - 19. Factor l(n).
-n**2*(n - 20)/2
Let b(g) be the first derivative of -1 - 1/4*g**4 + 2*g + 0*g**3 + 3/2*g**2. Suppose b(h) = 0. What is h?
-1, 2
Let b(u) be the third derivative of -u**8/3360 - u**7/525 - u**6/300 + u**5/300 + u**4/48 + u**3/30 + u**2 - 7. Find p, given that b(p) = 0.
-2, -1, 1
Factor 5/6*w - 2/3*w**2 - 1/6*w**3 + 0.
-w*(w - 1)*(w + 5)/6
Find q, given that -2*q**2 - 3*q**4 - 8*q + q**5 + 309*q**3 - 311*q**3 + 14*q**2 = 0.
-2, 0, 1, 2
Let l be 1 - (-6 + 7) - 1*-14. Let d(n) = 5*n**2 + 7*n - 1. Let w(c) = -11*c**2 - 15*c + 3. Let t(f) = l*d(f) + 6*w(f). Factor t(h).
4*(h + 1)**2
Let g(n) = n**4 - n**3 + 2*n**2 + n - 1. Let q(r) = 15*r**4 + 13*r**3 - 86*r**2 - 173*r - 51. Let k(i) = -3*g(i) + q(i). Find m, given that k(m) = 0.
-2, -1/3, 3
Let c(s) be the third derivative of s**7/490 - s**6/56 + s**5/20 - 3*s**4/56 + 30*s**2 - 2*s. Find a such that c(a) = 0.
0, 1, 3
Let u = -4219/4 + 1055. Solve 16*h + 12*h**2 + u*h**4 + 0 + 3*h**3 = 0 for h.
-4, 0
Suppose 8*j**5 + 27*j - 6*j**5 + 18*j**4 - 24*j**3 - 2*j**5 - 3*j**5 - 18*j**2 = 0. What is j?
-1, 0, 1, 3
Let t(h) = -h. Let f be t(-4). Suppose -5*w + 15 = 3*n, f*w = -3*n + 4 + 8. Factor n - 2/11*x**2 + 0*x + 2/11*x**3.
2*x**2*(x - 1)/11
Let p(x) = -82*x - 324. Let t be p(-4). Let -8/3 + 32/3*f + 38/3*f**3 - 14/3*f**t - 50/3*f**2 + 2/3*f**5 = 0. Calculate f.
1, 2
Let a(p) be the third derivative of -1/390*p**5 + 6*p**2 - 1/13*p**4 - 12/13*p**3 + 0*p + 0. Factor a(u).
-2*(u + 6)**2/13
Find i such that 40/13*i**2 + 2/13*i**5 - 36/13*i**3 - 10/13*i**4 + 112/13*i + 0 = 0.
-2, 0, 2, 7
Suppose -7*k = -4*k - 3*j, -j = -3. Let 2641 + 4*q**4 - 2641 + 4*q**2 - 8*q**k = 0. Calculate q.
0, 1
Let z(w) be the second derivative of -1/5*w**2 + 2/105*w**7 - 2/25*w**5 + 0