**3 + 0*d + 0 + 0*d**5 - 10*d**2 + 0*d**4. Factor t(o).
2*o**3*(o + 1)*(7*o - 2)/7
Let w be 208/144*3 + (-4)/1. Let i(k) be the second derivative of 1/5*k**5 + 0*k**3 + 1/30*k**6 + 0 - w*k**4 + 0*k**2 - 1/42*k**7 - 14*k. Factor i(z).
-z**2*(z - 2)*(z - 1)*(z + 2)
Suppose 0 = -4*f - 3*r + 25, 4*f + r = 3*f + 7. Let b(o) be the first derivative of -4*o**3 + 9/5*o**5 + 3*o**2 + 3*o - 3/2*o**f - 4. Solve b(a) = 0.
-1, -1/3, 1
Suppose 2*i + 8 = 3*j - 0, j + i - 1 = 0. Solve l**4 + 7/3*l**3 + 5/3*l**j + 0 + 1/3*l = 0 for l.
-1, -1/3, 0
Let k = -1971 - -2211. Factor 5/4*b**3 + 640 + k*b + 30*b**2.
5*(b + 8)**3/4
Let y(a) = a**2 + 8*a - 23. Let s be y(3). Suppose -5*c = -s*c + 20. Suppose 8/3*q**2 + 0*q**3 + 0*q + 2/3*q**5 + 0 - 2*q**c = 0. What is q?
-1, 0, 2
Let b(k) = k**3 - 2*k**2 + k. Let g(z) = 2*z**3 - 13*z**2 + 25*z + 36. Let l(q) = b(q) - g(q). Factor l(i).
-(i - 6)**2*(i + 1)
Let j(f) be the second derivative of 5*f**4/12 - 100*f**3/3 - 159*f. Solve j(z) = 0.
0, 40
Let -7705*p**2 - p**5 + 5*p**5 + 10*p**4 + 7701*p**2 + 2*p**3 = 0. Calculate p.
-2, -1, 0, 1/2
Factor 0 + 4*o**4 + 16/3*o**2 + 8*o**3 + 0*o + 2/3*o**5.
2*o**2*(o + 2)**3/3
Let s(o) = -o**2 + 13*o - 16. Suppose t + 2 = 13. Let h be s(t). Factor 9*i**2 + 5*i**3 - h*i**2 - 2*i**3.
3*i**2*(i + 1)
Let t(l) = 1. Let b(q) = 2*q**2 + 116*q + 1680. Let i(v) = b(v) + 2*t(v). Let i(y) = 0. What is y?
-29
Let u(z) = -z**2 - 14*z + 19. Let x be u(-15). Suppose b = -4*p + 28, -4*b = 2*p - 10 - x. Find g such that 5*g**2 - p*g - 4*g**2 + 5*g = 0.
0, 2
Let s(a) be the third derivative of a**7/350 + a**6/40 - 7*a**2 + 2. Factor s(t).
3*t**3*(t + 5)/5
Let k(g) be the third derivative of -g**5/12 - 635*g**4/24 - 105*g**3 - g**2 + 48. Find m such that k(m) = 0.
-126, -1
Let i = -58 - -61. Let r(x) be the second derivative of -1/2*x**3 + 0 - 1/4*x**4 + i*x**2 + 2*x. Suppose r(s) = 0. Calculate s.
-2, 1
Solve 0 + 1/2*y**4 + 1/4*y**5 + y - y**2 - 3/4*y**3 = 0 for y.
-2, 0, 1
Factor 3*c - 9/2 - 1/2*c**2.
-(c - 3)**2/2
Let k = -5282 - -5284. Determine f so that 0*f**3 + 1/4 - 1/2*f**k + 0*f + 1/4*f**4 = 0.
-1, 1
Let u(o) be the third derivative of o**6/30 + 22*o**5/3 + o**2 - 21. Factor u(g).
4*g**2*(g + 110)
Let l(y) be the second derivative of y**5/50 - y**4/30 - 17*y**3/15 - 3*y**2 + 31*y. Find j such that l(j) = 0.
-3, -1, 5
Let j(n) = -n**3 - 2*n**2 + 2*n. Let h(g) = 7*g**2 - 8*g. Let o(i) = 5*h(i) - 5*j(i). Find t, given that o(t) = 0.
-10, 0, 1
Let x(p) = 3*p + 12. Let o be x(-7). Let n = o - -9. Factor -4*i**3 - 2*i**5 + n*i**5 + 6*i**3.
-2*i**3*(i - 1)*(i + 1)
Let j be -8*2/(0 + -4). Let b(n) be the first derivative of -5 + 8/7*n + 9/14*n**j + 2/3*n**3 - 20/7*n**2. Factor b(c).
2*(c - 1)*(c + 2)*(9*c - 2)/7
Suppose -676*d**2 + 25*d - 12 + 3*d**3 - d + 661*d**2 = 0. Calculate d.
1, 2
Let i(c) be the first derivative of c**8/336 + c**7/70 + c**6/40 + c**5/60 + 9*c**2 + 13. Let g(f) be the second derivative of i(f). Factor g(s).
s**2*(s + 1)**3
Let w be 4/6*12*-1. Let g be 150/w*(-6)/(-63)*-4. Solve -g*m**3 + 72/7*m - 60/7*m**2 - 16/7 = 0.
-2, 2/5
Factor 0 - 39/7*i**2 - 24/7*i**3 - 3/7*i**4 - 18/7*i.
-3*i*(i + 1)**2*(i + 6)/7
Let h be (-14)/21 - ((-32)/(-36))/(-1). Solve 4/9*a**2 + h*a**4 + 0*a - 2/3*a**3 + 0 = 0 for a.
0, 1, 2
Solve 1258*r + 1492*r - 2*r**4 - 405*r**2 - 1815 - 3*r**4 - 655*r**2 + 132*r**3 - 2*r**3 = 0 for r.
1, 3, 11
Suppose 136*k - 119 - 1 = 112*k. Let -4/15*u**4 + 2/15*u**k - 4/15*u**3 - 14/15*u + 4/15 + 16/15*u**2 = 0. What is u?
-2, 1
Let z(s) be the third derivative of -s**6/24 + 5*s**5/12 - 5*s**4/6 + 211*s**2. Find i, given that z(i) = 0.
0, 1, 4
Let h = -51 - -59. Let b be 1*2*3/2. Factor h - 3*j**3 + 12*j + 0*j**2 + 4*j**b + 6*j**2.
(j + 2)**3
Let s(h) be the first derivative of h**6/72 + h**5/3 + 10*h**4/3 - h**3 + 11. Let b(y) be the third derivative of s(y). Let b(i) = 0. Calculate i.
-4
Determine t so that 21/5*t + 3/5*t**2 + 0 = 0.
-7, 0
Let g(k) = -100*k**3 + 620*k**2 + 550*k + 115. Let y(s) = -200*s**3 + 1240*s**2 + 1098*s + 229. Let w(f) = 5*g(f) - 3*y(f). Let w(t) = 0. Calculate t.
-2/5, 7
Let u(b) = 3*b**3 - 81*b**2 + 78*b + 2. Let w be u(26). Solve 9/5*f - 3/5*f**3 + 0*f**w - 6/5 = 0.
-2, 1
Let w(n) be the second derivative of -35*n**4/12 + 35*n**3/2 - 25*n**2 + 7*n. Let t(l) = 5*l**2 - 15*l + 7. Let y(p) = 20*t(p) + 3*w(p). Solve y(v) = 0.
1, 2
Let d(u) be the first derivative of u**4/48 - u**3/6 + u**2/2 - 3*u - 23. Let n(j) be the first derivative of d(j). Find k such that n(k) = 0.
2
Let z(m) = -16 + 14*m - 4 + 2*m. Let b(q) be the first derivative of -q**3/3 + 17*q**2/2 - 21*q - 2. Let u(j) = 4*b(j) - 5*z(j). Solve u(p) = 0 for p.
-4, 1
Suppose 0 = 57*j - 1141 + 970. Find p such that 0 - 4/5*p**j + 24/5*p**2 - 4*p = 0.
0, 1, 5
Let y(p) be the second derivative of p**7/70 + 2*p**6/25 + 9*p**5/100 - 2*p - 162. Factor y(n).
3*n**3*(n + 1)*(n + 3)/5
Let x(n) be the second derivative of -n**7/23940 + 13*n**4/12 - 4*n. Let c(u) be the third derivative of x(u). Suppose c(p) = 0. Calculate p.
0
Let h(y) be the first derivative of -y**6/2160 - y**5/240 + y**4/36 - 22*y**3/3 - 20. Let u(m) be the third derivative of h(m). Factor u(j).
-(j - 1)*(j + 4)/6
Suppose -9/2*z**2 - 3*z + 0 = 0. What is z?
-2/3, 0
Let x be (-1)/(-2) + 1/6. Let v(i) = i**3 - 11*i**2 - 17*i - 113. Let f be v(13). Find w such that 0*w**f - 4/3*w**2 + 4/3 - x*w**5 - 2*w + 8/3*w**3 = 0.
-2, -1, 1
Let q(g) be the first derivative of 2/5*g**2 - 1/15*g**3 + 0*g + 5. Determine t so that q(t) = 0.
0, 4
Let y(w) be the second derivative of -w**9/756 + w**8/192 + w**7/36 + w**6/48 + 7*w**4/6 + 7*w. Let r(k) be the third derivative of y(k). Factor r(j).
-5*j*(j - 3)*(j + 1)*(4*j + 1)
Let m(l) = -24*l**3 + 40*l**2 - 120*l + 38. Let n(s) = -7*s**3 + s**2 - s + 1. Let g(k) = 5*m(k) - 15*n(k). Determine q, given that g(q) = 0.
1/3, 5, 7
Let d(f) be the third derivative of -f**6/280 + 3*f**5/70 - 3*f**4/56 - 5*f**3/7 + 656*f**2. Suppose d(u) = 0. What is u?
-1, 2, 5
Let z(t) be the first derivative of t**9/6048 - t**7/1680 + 2*t**3 - 13. Let l(w) be the third derivative of z(w). Factor l(v).
v**3*(v - 1)*(v + 1)/2
Let s(b) = -1. Let v(z) = -z**2 + 8*z - 10. Let w(d) = -5*s(d) - v(d). Factor w(r).
(r - 5)*(r - 3)
Determine f so that 135523*f**3 - 5*f + 4*f**2 - 10*f**2 - 135524*f**3 = 0.
-5, -1, 0
Let u(m) = m**3 + m**2 - 6*m. Let s be u(3). Factor -4*r**4 + 5 - 57*r**2 - 24*r**3 + 5*r**2 - s - 3 - 48*r.
-4*(r + 1)**2*(r + 2)**2
Suppose -c + 4*m - 50 = -3*c, 0 = -3*c + 4*m + 25. Let q be (20/(-12))/(c/(-27)). What is i in -4/5 - 36/5*i**2 + 24/5*i + 16/5*i**q = 0?
1/4, 1
Let l(h) be the second derivative of -26*h**4/3 - 154*h**3/3 + 6*h**2 + 19*h - 3. Factor l(w).
-4*(w + 3)*(26*w - 1)
Let f(v) = -3*v**2 + 6*v - 1. Let j(u) = 4 - 18*u + u**2 + 11*u**2 + 2*u**2 - 4*u**2. Let x(i) = 16*f(i) + 5*j(i). Find r, given that x(r) = 0.
-2, -1
Let r = -599 - -599. Let v(f) be the first derivative of f**4 + 1 + r*f - 1/5*f**5 + f**2 - 5/3*f**3. Solve v(y) = 0.
0, 1, 2
Let y be ((-3)/(-6))/((-1 + 3)/8). Suppose 0 = -4*k - 3*h + 14, k + 5*h - 14 = -k. Factor y*u - k*u + u - u**5 - u**4 - u**4 + 2*u**2.
-u*(u - 1)*(u + 1)**3
Let o(n) = -n**2 + n. Let s(k) be the first derivative of 4*k**2 + 3 - 2/3*k**3 - 6*k. Let h(q) = -5*o(q) + s(q). Determine m, given that h(m) = 0.
-2, 1
Let v = 48 + -46. What is r in 0*r - 5*r - 3*r**2 + 0*r**2 + v*r = 0?
-1, 0
Suppose -3*p + q + 6 = 0, -29*q = -3*p - 25*q - 3. Factor 32/3*s**2 - 20/3*s**p + 0 + 4/3*s**4 - 16/3*s.
4*s*(s - 2)**2*(s - 1)/3
Let u = -56 - -46. Let s be u/75*-5*(-18)/(-8). Factor 0*y**2 + 0 + s*y**3 + 0*y**4 - 3/4*y - 3/4*y**5.
-3*y*(y - 1)**2*(y + 1)**2/4
Let k = -124 - -229. Let t = k + -1363/13. Factor 2/13*b**4 + 2/13*b**5 + 2/13 - 4/13*b**2 + t*b - 4/13*b**3.
2*(b - 1)**2*(b + 1)**3/13
Factor -14/5*k + 18/5*k**2 + 4/5 - 2*k**3 + 2/5*k**4.
2*(k - 2)*(k - 1)**3/5
Suppose -2 - 2 = -2*q. Suppose 40 = 5*u + 4*y, 5*u = q*y + y + 5. Factor -2*i**2 + 4 + u*i + 3*i**2 + 2*i**2 - 2*i**2.
(i + 2)**2
Let i be 1 + 15/(-13) - 736/(-52). Let g = i + -12. Solve 14/5*p**g - 4/5 - 2*p**4 + 6/5*p - 6/5*p**3 = 0 for p.
-1, 2/5, 1
Suppose -76235043/7 - 4294932/7*o - 90738/7*o**2 - 852/7*o**3 - 3/7*o**4 = 0. Calculate o.
-71
Find v such that -26/5*v**3 + 24/5*v**2 + 0 - 8/5*v + 12/5*v*