Factor 28/3*q + 0 + 29/3*q**2 + 1/3*q**3.
q*(q + 1)*(q + 28)/3
Let o = 143293/9 + -15921. Find w such that 0 + o*w**2 - 4/3*w = 0.
0, 3
Find a such that -4*a**4 - 19*a**3 - 7*a**3 - 3*a**3 - 11*a**3 = 0.
-10, 0
Let p be (-3)/(-2 + 4 - 3). Determine l, given that 0 + 1/4*l**4 - 1/2*l**2 - 1/4*l**p + 0*l = 0.
-1, 0, 2
Suppose 5*f + 0*f = 9*f. Factor f - 1/7*r**4 + 0*r - 9/7*r**2 - 6/7*r**3.
-r**2*(r + 3)**2/7
Let z(n) be the first derivative of -5*n**3/3 - 90*n**2 - 1620*n + 176. Factor z(r).
-5*(r + 18)**2
Let t(o) = 4*o**3 - 9*o**2 - o + 3. Let s(r) = -r**3 + r**2 + 1. Let b(q) = -3*s(q) - t(q). Find u, given that b(u) = 0.
-1, 1, 6
Suppose -o + 2*t + 6 = 0, -o + 14*t - 11*t = -9. Let n(v) be the first derivative of o*v**2 + 0*v + 1/5*v**3 - 6 + 3/20*v**4. Factor n(z).
3*z**2*(z + 1)/5
Let f(j) = -2*j**3 + j**2 + 1. Let c(q) = -49*q**4 - 196*q**3 - 344*q**2 - 240*q - 71. Let g(s) = -3*c(s) - 21*f(s). Suppose g(v) = 0. What is v?
-8/7, -1
Solve -63*d**4 - 9*d**2 - 72*d**3 - 3*d**2 + 67*d**5 + 80*d**5 = 0 for d.
-2/7, 0, 1
Factor 9*k - 32*k**5 - 12*k**3 - 6*k**2 + 2*k**4 + 4*k**4 + 35*k**5.
3*k*(k - 1)**2*(k + 1)*(k + 3)
Let l = 13751/188370 + 10/2093. Let g(r) be the third derivative of 2/9*r**3 + 0 + 3*r**2 - l*r**5 + 0*r - 5/36*r**4. Factor g(u).
-2*(u + 1)*(7*u - 2)/3
Let x(y) be the first derivative of y**6/2 - 3*y**5 + 3*y**4/2 + 14*y**3 - 9*y**2/2 - 27*y - 605. Let x(f) = 0. Calculate f.
-1, 1, 3
Let p be 2 + (-4 - -2 - 4). Let m be 368/(-48) + 4/(-3). Let w(f) = -2*f**2 + 8*f + 14. Let r(v) = 5*v**2 - 15*v - 27. Let u(q) = m*w(q) + p*r(q). Factor u(j).
-2*(j + 3)**2
Let g(z) be the second derivative of z**5/20 - 167*z**4/48 - 107*z**3/12 - 43*z**2/8 + 216*z. Factor g(h).
(h - 43)*(h + 1)*(4*h + 1)/4
Let g(x) be the first derivative of 4/5*x**5 + 4*x + 0*x**4 - 8/3*x**3 + 3 + 0*x**2. Suppose g(t) = 0. What is t?
-1, 1
Let x be 4/(-1) + (-90 - -85) - -9. Find q such that 2/7*q**4 + 0*q**2 + x*q + 0 + 4/7*q**3 = 0.
-2, 0
Let m = -2751 + 2753. Let q(k) be the first derivative of -5 - 6/5*k**5 + 0*k + 1/2*k**6 - 3/2*k**m + 2*k**3 + 0*k**4. Suppose q(z) = 0. What is z?
-1, 0, 1
Let j(s) = -s**2 - 584*s + 21311. Let c(u) = -2*u**2 - 1752*u + 63934. Let b(r) = -5*c(r) + 14*j(r). Suppose b(d) = 0. Calculate d.
73
Let u = -977 + 977. Factor 2/3*h**3 - 2/3*h - 1/3 + 1/3*h**4 + u*h**2.
(h - 1)*(h + 1)**3/3
Let i(w) be the second derivative of w**9/37800 + w**8/16800 - 3*w**4/4 + 13*w. Let b(s) be the third derivative of i(s). Determine d, given that b(d) = 0.
-1, 0
Let -27*o**2 + 247*o**2 - 15*o**4 + 1344 + 1216*o - 3*o**5 + 608*o + 96*o**3 + 584*o**2 = 0. What is o?
-4, -2, 7
Let w(o) = 44*o + 222. Let l be w(-5). Determine a, given that 0*a**l - 3/5*a**3 + 9/5*a + 6/5 = 0.
-1, 2
Suppose -40 = -7*w + 2. Determine v, given that 22 + 5*v**2 - 65*v - 28 - w - 58 = 0.
-1, 14
Let n(p) be the second derivative of -4*p**6/45 + p**5/10 + p**4/18 + 54*p - 1. Find h, given that n(h) = 0.
-1/4, 0, 1
Let u(l) be the third derivative of l**6/144 + 5*l**5/24 + 125*l**4/48 - 4*l**3/3 - 9*l**2. Let p(x) be the first derivative of u(x). Factor p(f).
5*(f + 5)**2/2
Let n be (5 - (-55)/(-20))/((-12)/(-8)). Factor -n*a - 1/4*a**2 - 9/4.
-(a + 3)**2/4
Let h(b) = -13*b**2 - 31*b. Let t(i) = -9*i**2 - 21*i. Let g(s) = 5*h(s) - 7*t(s). Find p such that g(p) = 0.
-4, 0
Suppose 0 = 2*m - 36*z + 39*z - 9, -z + 3 = 2*m. Let o(s) be the second derivative of m*s**3 - 13*s - 1/36*s**4 + 0 + 0*s**2. Find i such that o(i) = 0.
0
Suppose -5*u = -2*p - 58, 0 = -3*p + 7*p - 4. Let s = 489 + -434. Suppose -s*j**2 - 65*j - 2 - u + 4 = 0. What is j?
-1, -2/11
Suppose 3*a - 12 = -4*r, 7*a = 11*a + 3*r - 16. Let h(o) be the third derivative of 0*o - 1/12*o**a + 0*o**3 - 4*o**2 + 0 - 1/90*o**5. Solve h(n) = 0 for n.
-3, 0
Let j = 310 + -310. Let y(w) be the third derivative of j - 1/15*w**5 + 4/3*w**3 + 1/6*w**4 - 6*w**2 + 0*w. Factor y(d).
-4*(d - 2)*(d + 1)
Factor -36*r**2 - 84*r**2 - 1050*r - 5*r**2 - 2205.
-5*(5*r + 21)**2
Let u(f) be the first derivative of 4/9*f**2 + 4 + 10/27*f**3 + 0*f + 1/18*f**4. Factor u(p).
2*p*(p + 1)*(p + 4)/9
Suppose -13 = -5*t + 3*k + 85, -12 = -3*k. Let o be t/5 - 32/(-24)*-3. Factor 0*n**3 - 3/5*n**2 + 1/5*n**4 + 0 + o*n.
n*(n - 1)**2*(n + 2)/5
Find l such that -4*l**4 - 23/5*l**3 - 1/5*l**2 + 2/5*l + 0 = 0.
-1, -2/5, 0, 1/4
Determine v, given that 0 + 1/5*v**3 - 1/5*v + 0*v**2 = 0.
-1, 0, 1
Let w(n) = n**3 + 6*n**2 + 7*n + 12. Let v be w(-5). Suppose -4*t = -6 - v. Let -5*k + 4*k - t - 2*k**2 + 4*k + k**2 = 0. Calculate k.
1, 2
Let g = 48248 + -916702/19. Factor -g*n**2 - 2/19*n**3 + 0 + 12/19*n.
-2*n*(n - 1)*(n + 6)/19
Let r(b) be the second derivative of b**8/80 - b**7/56 - 3*b**6/40 + b**5/8 + b**4/4 - 2*b**3 + 6*b. Let i(g) be the second derivative of r(g). Factor i(f).
3*(f - 1)**2*(f + 1)*(7*f + 2)
Let b be (-7)/(1 - (-6)/(-3)). Factor -b*m**2 - 2*m**3 + 3*m**2 + 2*m + 2 + 2 + 0*m**2.
-2*(m - 1)*(m + 1)*(m + 2)
Let a(m) be the third derivative of -m**6/144 + m**5/72 + 5*m**4/16 - 5*m**3/4 + 6*m**2 + 12*m. Factor a(b).
-5*(b - 3)*(b - 1)*(b + 3)/6
Factor 2/13*b + 0 - 8/13*b**5 + 2/13*b**2 - 18/13*b**3 + 22/13*b**4.
-2*b*(b - 1)**3*(4*b + 1)/13
Let r(d) = 155*d**2 - 2788*d - 36. Let i be r(18). Suppose 11/12*q**3 + i*q**2 + 1/12*q**4 + 0 + 0*q = 0. What is q?
-11, 0
Solve 0*u + 24/7*u**3 - 24/7*u**2 + 0 - 6/7*u**4 = 0 for u.
0, 2
Let s = 11 - 3. Let v be (1 + (-20)/s)*-2. Factor 0*x**2 + 2*x**2 - x**2 - 2 - 2*x**2 - v*x.
-(x + 1)*(x + 2)
Factor 67*m**2 + 48*m**3 + 61*m**2 + 1164*m**4 - 1160*m**4.
4*m**2*(m + 4)*(m + 8)
Let g = 4502 + -1337096/297. Let k = g + 608/2079. Solve 2/7*h**5 + 0 + 4/7*h**4 - k*h - 4/7*h**2 + 0*h**3 = 0.
-1, 0, 1
Let t(g) be the first derivative of -g**3 - 6*g**2 + 15*g + 43. Factor t(f).
-3*(f - 1)*(f + 5)
Suppose -3*b = 2*m - 11, 6*m - 7 = 5*b + 3*m. Let j be ((-63)/(-28))/(b/2). Let 3/2*y**3 - 6 + j*y**2 + 0*y = 0. Calculate y.
-2, 1
Let v be (-42)/24 + 1/(-4). Let b be (v/(-5))/(253/115). Factor 0*g + 0 + b*g**2 + 2/11*g**4 - 4/11*g**3.
2*g**2*(g - 1)**2/11
Determine j, given that -88 + 36*j + 7*j**3 + 84*j**2 + 5*j**3 + 60*j**2 - 8*j**2 + 0*j = 0.
-11, -1, 2/3
Let s(a) be the third derivative of -a**6/30 - 11*a**5/30 + 2*a**4/3 + 80*a**3/3 - 3*a**2 + 52. Solve s(b) = 0.
-4, 5/2
Let d be (-2)/((24/20)/(-3)). Suppose -d*l**5 - 16*l**3 - 25*l**3 + 54*l**3 + 25*l**4 + 15*l**2 - 48*l**3 = 0. Calculate l.
0, 1, 3
Let u(j) be the second derivative of -j**6/360 + 17*j**5/360 + j**4/12 + j**3/6 + 6*j. Let p(c) be the second derivative of u(c). Factor p(d).
-(d - 6)*(3*d + 1)/3
Let m(u) be the third derivative of 200/3*u**3 - u**2 + 1/15*u**5 - 2*u - 10/3*u**4 + 0. Factor m(h).
4*(h - 10)**2
Let r be 6 + -5 - (-1 + -3). Let j be (-1 - (1 - 3))*4. Factor -1 - t**4 + j*t**2 - t**4 - r + 4.
-2*(t - 1)**2*(t + 1)**2
Let k(j) be the third derivative of j**8/2352 + j**7/210 + j**6/168 - j**5/60 - j**4/28 + 4*j**2 + 5*j. Factor k(c).
c*(c - 1)*(c + 1)**2*(c + 6)/7
Solve -70/3 + 95/3*v - 20/3*v**2 - 5/3*v**3 = 0.
-7, 1, 2
Let r(v) be the second derivative of -4/25*v**5 + 4/15*v**3 + 1/5*v**2 + 0 + 4/105*v**7 + 1/75*v**6 - 1/15*v**4 - 47*v. Solve r(g) = 0.
-1, -1/4, 1
Let s be 7/14*28/38. Let l = s + -2/57. Suppose -2/3*j + 0 - j**4 + j**2 + 1/3*j**5 + l*j**3 = 0. What is j?
-1, 0, 1, 2
Let l(u) = 11*u**5 - 6*u**4 - 9*u**3 + 2*u**2 + 6*u + 6. Let x(t) = 2*t**5 - t**4 - 2*t**3 + t + 1. Let q(y) = l(y) - 6*x(y). Solve q(s) = 0 for s.
-1, 0, 2
Let w be 6 + -1 + 8 + -10. Let x(r) be the first derivative of 8/21*r**w - 5/7*r**2 + 2/7*r - 10. Factor x(s).
2*(s - 1)*(4*s - 1)/7
Solve 140/3*w + 5/3*w**4 - 80/3 - 20*w**2 - 5/3*w**3 = 0 for w.
-4, 1, 2
Let c(x) be the third derivative of -x**6/24 + 13*x**5/6 - 148*x**2. Solve c(u) = 0 for u.
0, 26
Determine t so that 2/21*t**2 + 26/21 - 4/3*t = 0.
1, 13
Factor -92*d**5 + 15*d**3 + 0 + 10*d**2 + 43*d**5 + 44*d**5 + 0.
-5*d**2*(d - 2)*(d + 1)**2
Suppose -2*u + 4*g = -12, -2*u = -4*u + 2*g + 8. Suppose 4*c = -2 + 14, -u*c - 9 = -5*a. Factor -v**5 + 3*v**a + 0*v**3 - 2*v**5.
-3*v**3*(v - 1)*(v + 1)
Let m = 1503/12248 + 7/3062. Let l(c) = c**2 + 7*c + 9. Let y be l(-6). Solve 0 - m*d**5 - 1/2*d**4 - 1/8*d - 1/2*d**2 - 3/4*d**y = 0 for d.
-1, 0
Let 0 + 2/5*k**3 - 8/5*k - 6/5*k**2 = 0. What is k?
-1, 