
Factor 18*j**2 - 128/7 + 96/7*j - 14*j**3.
-2*(j + 1)*(7*j - 8)**2/7
Let 2/3 + 43/3*l - 22/3*l**2 = 0. Calculate l.
-1/22, 2
Let i(g) be the first derivative of -2*g**5/55 - g**4/22 + 16*g**3/33 + 12*g**2/11 - 328. Factor i(j).
-2*j*(j - 3)*(j + 2)**2/11
Let b(s) = 2*s**3 - 35*s**2 - 2*s + 35. Let q(w) = -2*w**3 + 34*w**2 + 2*w - 34. Let i(t) = 6*b(t) + 7*q(t). Let i(v) = 0. What is v?
-1, 1, 14
Suppose 0 = -2*f - 3*v + 17, 3*v - 19 = -5*f + 10. Suppose 2*s - 45 = 3*n, 2*s + 5*n - 49 = f*n. Factor -s*o**2 - 5 - 39 - 55 - 96*o - 29 - 2*o**3.
-2*(o + 4)**3
Let u(x) = -x**4 + 24*x**3 + 31*x**2 - 54*x. Let w(a) = -a**4 + 49*a**3 + 61*a**2 - 109*a. Let k(p) = 9*u(p) - 4*w(p). Find f, given that k(f) = 0.
-2, 0, 1, 5
Suppose -4*b = -506 + 498. Let o(k) be the first derivative of -2/25*k**5 + 2/15*k**3 + 1/10*k**4 + 10 + 0*k - 1/5*k**b. Suppose o(l) = 0. Calculate l.
-1, 0, 1
Let m(r) = r + 17. Suppose 5*w = -3*u - 31, 35 = u - 4*u - w. Let p be m(u). Factor -p + n**2 + 5 + 12 - 24*n - 3*n**3 + 14*n**2.
-3*(n - 2)**2*(n - 1)
Let w(t) = 4*t**3 - 3*t**2 + t + 17. Let p be w(-4). Let i = p - -295. Factor 0 + 0*y**3 + 3/2*y**5 + 0*y**2 + 3/2*y**i + 0*y.
3*y**4*(y + 1)/2
Let x = 228160/13 + -17550. Find n, given that -x*n**3 + 0*n + 4/13*n**2 + 0 = 0.
0, 2/5
Let v(c) be the third derivative of 0*c + 2/15*c**5 + 0*c**4 - 1/30*c**6 + 0 + 0*c**3 + 18*c**2. What is t in v(t) = 0?
0, 2
Suppose -21 = 5*d + 2*d. Let g be (-8)/56 + d/(-7). Factor 0*o**2 + 1/7*o**4 - 1/7 - 2/7*o**3 + g*o.
(o - 1)**3*(o + 1)/7
Let u be (-3034)/(-1480) - 1/4. Factor u*p**2 + 3/5*p**4 - 9/5*p**3 + 0 - 3/5*p.
3*p*(p - 1)**3/5
Let z(n) be the first derivative of -67/12*n**4 + 0*n**3 - 7 + 2/3*n**2 + 21/5*n**5 + 0*n. Determine w, given that z(w) = 0.
-2/9, 0, 2/7, 1
Suppose h = 9*h - 24. Let l be h/2*8/24. Factor 0 + d**2 + 0*d**3 - d**4 + l*d**5 - 1/2*d.
d*(d - 1)**3*(d + 1)/2
Let i be 3 + (2 - 1)/1. Suppose 233 = 4*w - u - 253, 2*u = -w + 126. Factor 122*t**3 + 2*t**i - 2*t**2 - w*t**3.
2*t**2*(t - 1)*(t + 1)
Suppose -3*y - 14 = -3*d - 8, 0 = -4*d + 8. Let n(v) be the second derivative of 1/66*v**4 - v + 0*v**3 + 0 + y*v**2. Find q such that n(q) = 0.
0
Suppose -185 = -3*s + 190. Let y be (5/(s/(-6)))/((-3)/20). Factor y*x**2 + 0*x - 4/5*x**3 + 0.
-4*x**2*(x - 2)/5
Let v(t) be the second derivative of -t**7/42 + t**6/12 - t**5/40 - t**4/12 - 2*t - 1. Determine k so that v(k) = 0.
-1/2, 0, 1, 2
Let t = -28 + 21. Let u be 2/3*((-152)/(-20) + t). Solve u - 2/5*z**2 + 7/5*z - 7/5*z**3 = 0.
-1, -2/7, 1
Let f(c) = 42*c**2 - 286*c - 196. Let l(d) = 2*d**2 - 4*d. Let a(j) = 2*f(j) - 44*l(j). Factor a(k).
-4*(k + 1)*(k + 98)
Let y(a) be the second derivative of 1/30*a**4 - 1/90*a**6 + 1/300*a**5 - 1/6*a**3 + 0*a**2 + 0 + 2*a. Let k(o) be the second derivative of y(o). Factor k(n).
-2*(2*n - 1)*(5*n + 2)/5
Let p(v) be the third derivative of v**5/120 - v**4/12 - 5*v**3/12 + 136*v**2. Determine h so that p(h) = 0.
-1, 5
Let l(z) be the third derivative of z**6/480 + 23*z**5/240 + 37*z**4/32 + 51*z**3/8 - 61*z**2 - z. Suppose l(a) = 0. Calculate a.
-17, -3
Factor 0 + 1/4*z**2 + 1/2*z.
z*(z + 2)/4
Let i(b) be the first derivative of -4*b**3/3 - 10*b**2 + 24*b - 17. Factor i(g).
-4*(g - 1)*(g + 6)
Let j be ((-265)/(-120) - 4/32)/(55/88). Suppose 4/3*f + 0 + j*f**3 + 6*f**4 - 14/3*f**5 - 6*f**2 = 0. Calculate f.
-1, 0, 2/7, 1
Let s be (-5)/25 - 11/(-5). Suppose s*o = -8, g = 4*g + o - 59. Factor -24*b**3 - 8 - g*b**2 - 6*b - 9*b**4 + 8.
-3*b*(b + 1)**2*(3*b + 2)
Suppose 0 = -i, 3*a + 21 = -i - 6. Let h = a + 13. Factor 0*y - h*y**3 + 6*y**3 - 2*y.
2*y*(y - 1)*(y + 1)
Let s(k) = k**3 + 8*k**2 - 10*k + 10. Let q(w) = -w**3 + 96*w**2 - 2*w**3 - 113*w**2 - 6 + 19*w - 15. Let i(n) = 2*q(n) + 5*s(n). Factor i(b).
-(b - 2)**3
Suppose 189*d - 192*d**2 + 3*d**4 + 1467 - 1545 + 27*d**3 + 51*d**2 = 0. Calculate d.
-13, 1, 2
Factor 2/5*h**2 - 12/5*h + 16/5.
2*(h - 4)*(h - 2)/5
Let 2451 + 253 - 51*x**2 + 208*x + 55*x**2 = 0. Calculate x.
-26
Let u(m) be the third derivative of m**5/12 + m**4/3 - 2*m**3/3 + 64*m**2. Factor u(v).
(v + 2)*(5*v - 2)
Let q(d) = -4*d**3 - 30*d**2 + 21*d + 13. Let x(m) = 3*m**3 + 30*m**2 - 19*m - 14. Let p(i) = 4*q(i) + 3*x(i). Factor p(t).
-(t - 1)*(t + 5)*(7*t + 2)
Let q(m) be the first derivative of 2*m**6/3 - 8*m**5 + 145*m**4/4 - 75*m**3 + 135*m**2/2 - 27*m - 56. Find c, given that q(c) = 0.
1/2, 3
Find q such that -32*q**3 - 28*q**3 + 16*q**5 + 20*q**4 - 1926*q**2 + 1846*q**2 - 16*q = 0.
-2, -1, -1/4, 0, 2
Let t(k) = k**2 - 12*k + 29. Let g be t(3). Let u(l) be the second derivative of 0 + 1/36*l**3 + 1/12*l**g - 6*l - 1/120*l**5 - 1/72*l**4. Factor u(c).
-(c - 1)*(c + 1)**2/6
Factor 2/21*n**2 + 8/3*n + 56/3.
2*(n + 14)**2/21
Determine h, given that -36*h**2 - 24*h**2 + 22*h - 3*h + 42 - 20*h**3 + 3*h - 2*h**5 + 18*h**4 = 0.
-1, 1, 3, 7
Let h(g) be the first derivative of g**6/2 - 6*g**5/5 + 3*g**4/4 - 81. Factor h(k).
3*k**3*(k - 1)**2
Let o be (2/12)/((4/(-14))/(52/(-91))). Find q, given that 0 + 1/3*q**3 + 0*q + o*q**4 + 0*q**2 = 0.
-1, 0
Suppose -w + 1 + 3 = -s, 2 = 3*w + 2*s. Suppose -3*g - 16 = -5*i, 0*i = -5*i - 4*g + w. Find v, given that -2*v**2 + 3*v**i + 0*v**2 + 4 - 2*v**2 = 0.
-2, 2
Let t(k) be the second derivative of k**4/12 - k**3/6 + 100*k. Let q be 40/18 - 2/9. Let m(j) = -j**2 - 8*j - 1. Let l(a) = q*m(a) - 6*t(a). Solve l(o) = 0.
-1, -1/4
Let z(t) be the third derivative of -t**7/280 + t**6/10 - 63*t**5/80 + 23*t**4/8 - 11*t**3/2 - 17*t**2 + 5*t. Solve z(o) = 0.
1, 2, 11
Suppose -56 = -4*r + 28. Suppose -163*b**2 + 166*b**2 + 18*b + 6 + r = 0. Calculate b.
-3
Let w = 10303 - 10300. Determine x so that 4/3 - 4/3*x**2 - 10/3*x + 10/3*x**w = 0.
-1, 2/5, 1
Let j = 78 + -81. Let s be 36/(-702) + (-2)/j. Determine q, given that -2/13*q**3 - 16/13*q + 10/13*q**2 + s = 0.
1, 2
Let j be (-192)/(-12) - (-1 - -1 - 0). Let w = -13 + j. Factor -5/3*a**4 + 4*a**3 - w*a**2 + 0 + 2/3*a.
-a*(a - 1)**2*(5*a - 2)/3
Let i(c) = -c**2 - 2*c - 2. Let t(l) = 2*l**2 + 55*l + 6. Let h(k) = 6*i(k) + 2*t(k). Factor h(y).
-2*y*(y - 49)
Let g(h) be the second derivative of 26*h + 0 - 1/3*h**3 - 1/6*h**4 + h**2 + 1/10*h**5. Find y, given that g(y) = 0.
-1, 1
Determine l, given that 9*l**4 - 3*l - 9*l**2 + 12*l + 3*l - 15*l**3 + 3*l**5 = 0.
-4, -1, 0, 1
Find a, given that 36*a + a**2 + 14*a - 3*a**2 + 36*a = 0.
0, 43
Factor -6/7*p**4 + 0*p + 2/7*p**3 + 4/7*p**2 + 0.
-2*p**2*(p - 1)*(3*p + 2)/7
Let b(f) be the second derivative of f**5/35 - 34*f**4/21 - 142*f**3/21 - 72*f**2/7 + 6*f - 2. Find r, given that b(r) = 0.
-1, 36
Let b(o) be the second derivative of o**6/90 - o**5/15 + o**4/6 + 2*o**3 - 12*o. Let x(u) be the second derivative of b(u). Solve x(k) = 0 for k.
1
Let r be (-2)/7 - 26/7. Let k(i) = -2*i - 5. Let b be k(r). Factor -2*n - n - n**3 - b*n + 4 + 3*n**3.
2*(n - 1)**2*(n + 2)
Let x(p) be the second derivative of 3/20*p**5 + 22*p + 0*p**2 + 0 - 5/2*p**3 - p**4. Determine f so that x(f) = 0.
-1, 0, 5
Let a = 3264 + -22847/7. Solve -2/7 - 1/7*q + a*q**2 = 0.
-1, 2
Let y(h) be the third derivative of h**8/151200 - h**7/9450 + h**6/1800 + 7*h**5/60 - 2*h**2. Let u(w) be the third derivative of y(w). What is k in u(k) = 0?
1, 3
Let w(r) = r**3 - 7*r**2 + 6*r + 7. Let y be w(6). Let s = -455 + 459. Factor y*g**s + 21*g**4 - 2*g**2 - 14*g**2 - 48*g**3.
4*g**2*(g - 2)*(7*g + 2)
Suppose 5*v + 5*m = -35, -4*m - 33 = 4*v + m. Let l be (4 - 2)*(-3)/v. Determine h so that -9*h + 2*h**5 - 6*h**4 + 9*h + 3*h**l + h**5 = 0.
0, 1
Let w = 2/1423 + 1207/153684. Let y(u) be the third derivative of -w*u**4 + 0*u - 1/270*u**5 + 0*u**3 + 0 + 1/945*u**7 + 10*u**2 + 1/540*u**6. Factor y(i).
2*i*(i - 1)*(i + 1)**2/9
Suppose -12*h - 12 = -36. Let a(t) be the first derivative of 0*t + 0*t**3 - 1/24*t**6 + 0*t**h - 1/16*t**4 - 1/10*t**5 - 6. Determine c so that a(c) = 0.
-1, 0
Let h(o) be the third derivative of o**7/42 - 7*o**6/6 + 45*o**5/2 - 405*o**4/2 + 1215*o**3/2 + 424*o**2. Factor h(n).
5*(n - 9)**3*(n - 1)
Let z(p) be the third derivative of -p**7/280 + 3*p**6/40 - 7*p**5/16 + 3*p**4/4 - 818*p**2. Factor z(r).
-3*r*(r - 8)*(r - 3)*(r - 1)/4
Let v(b) be the first derivative of 4/3*b + 64/9*b**3 + 6 + 16/3*b**2. Let v(c) = 0. What is c?
-1/4
Find a such that 0*a**2 - 1211 + 213*a + 158*a - 131*a 