2*j - o*j**u + 175 = 0.
-2, 1/3
Let o(v) be the third derivative of -v**8/14280 - v**7/1785 - v**6/1020 - 7*v**3/2 + 2*v**2. Let q(y) be the first derivative of o(y). Factor q(x).
-2*x**2*(x + 1)*(x + 3)/17
Let m = -473 - -476. Suppose -26/11*d**4 + 116/11*d**m - 8/11 - 40/11*d**5 - 2/11*d**2 - 40/11*d = 0. What is d?
-2, -2/5, -1/4, 1
Let f be 14/(-7)*9/(-15). Let 0 - 6/5*t**3 - 3/5*t**2 + 3/5*t**4 + f*t = 0. What is t?
-1, 0, 1, 2
Let f(c) be the second derivative of c**4/7 - 2*c**3/3 + 4*c**2/7 + 278*c. Determine v, given that f(v) = 0.
1/3, 2
Let a(o) = 3*o**2 - 17*o - 5. Let f be a(7). Factor 2*i + f*i**3 + 20*i**2 + 2*i + 0*i + 7*i**4.
i*(i + 1)*(i + 2)*(7*i + 2)
Let w(r) be the second derivative of r**4/4 - 10*r**3 + 150*r**2 - 87*r. Let w(l) = 0. Calculate l.
10
Let m(n) = 19*n - 7. Let h be m(2). Suppose 2*k = -2*j - 2, -5*k + 6*j = 2*j - h. Factor 0 - 2/3*g**2 - 1/3*g**k - 1/3*g.
-g*(g + 1)**2/3
Let c(s) be the first derivative of -2*s**3/3 - s**2 - 81. Factor c(o).
-2*o*(o + 1)
Let t(h) be the second derivative of 0 + 0*h**3 + 1/210*h**6 + 1/140*h**5 + 0*h**2 + 4*h + 0*h**4. Factor t(w).
w**3*(w + 1)/7
Let o(k) = -12*k - 1282. Let a be o(-107). Find u such that 8/13*u - 2/13*u**5 + 8/13*u**4 - 8/13*u**a - 6/13*u**3 + 0 = 0.
-1, 0, 1, 2
Let z(h) be the first derivative of 1/15*h**5 - 1/6*h**4 + 0*h - 32 + 1/9*h**3 + 0*h**2. Find g, given that z(g) = 0.
0, 1
Let u = -530089/6060 + 1803/20. Let i = -1/101 + u. Determine f so that -4/3*f - 4/3*f**5 + 4/3 + 4/3*f**4 + 8/3*f**3 - i*f**2 = 0.
-1, 1
Let v = 525 + -522. Let k(i) be the first derivative of 1/5*i**2 - 26/25*i**5 + 3/2*i**4 - 6 + 4/15*i**6 + 0*i - 14/15*i**v. Determine n, given that k(n) = 0.
0, 1/4, 1
Determine s, given that -1 - s**4 + 493*s**3 - 1 - 490*s**3 + 5*s**2 - 3*s - 2 = 0.
-1, 1, 4
Let p(b) be the second derivative of -b**7/147 + b**6/35 - 3*b**5/70 + b**4/42 - 2*b - 2. Factor p(n).
-2*n**2*(n - 1)**3/7
Let g = 63/2 - 31. Let x be 77/(-49) + 2 - 99/(-63). Factor 7/4*u - g + u**x.
(u + 2)*(4*u - 1)/4
Determine w, given that 122/7*w**2 + 2/7*w**4 + 72/7 + 4*w**3 + 24*w = 0.
-6, -1
Solve -24 - 5*s**4 - 4*s**4 + 25*s**3 + 14*s**4 + 12 - 105*s**2 + 115*s - 28 = 0 for s.
-8, 1
Suppose 5*y - 14 = 3*x - 0*x, 0 = 5*y - x - 18. Find u such that 230*u**2 + 15*u**3 - 674*u + 225*u**3 + 434*u + 45 + 45*u**y = 0.
-3, 1/3
Suppose 0 = 10*t - 4*t - 30. Let f(w) be the third derivative of 1/96*w**4 - 2*w**2 + 1/480*w**6 + 0 + 1/120*w**t + 0*w**3 + 0*w. Factor f(g).
g*(g + 1)**2/4
Let 8/19*q + 0 - 2/19*q**3 + 0*q**2 = 0. Calculate q.
-2, 0, 2
Find v such that -2/3*v**2 + 80*v - 2400 = 0.
60
Let b(s) be the third derivative of -s**9/10080 + s**8/4480 + s**7/336 + s**6/160 - s**4/8 + 24*s**2. Let o(p) be the second derivative of b(p). Factor o(l).
-3*l*(l - 3)*(l + 1)**2/2
Suppose 4*i + 4 - 30 = 3*y, 3*y + 6 = 0. Let i*d + 2*d**2 + 1 - 1 - 7*d = 0. Calculate d.
0, 1
Let m(t) = -7*t**2 + 6*t + 15. Let o(n) = -4*n**2 + 2*n + 9. Let r(s) = -3*m(s) + 5*o(s). Let r(u) = 0. Calculate u.
0, 8
Let b(r) be the second derivative of -r**5/60 + r**4/6 + 7*r**3/18 + 2*r - 81. Factor b(s).
-s*(s - 7)*(s + 1)/3
Let m = -13253/20 + 2653/4. Factor -m*c**2 + 3 - 12/5*c.
-3*(c - 1)*(c + 5)/5
Let k(i) be the third derivative of -i**6/120 - i**5/12 + 5*i**3/6 - 2*i**2. Let j be k(-5). Solve h**3 + 2*h**j + 3*h**2 + 2*h**4 - h**5 - 3*h**2 = 0 for h.
-1, 0
Let w(h) be the first derivative of 2*h**3 + 0*h - 1/2*h**4 + 10 - 2*h**2. Determine c so that w(c) = 0.
0, 1, 2
Let i be (-2 - 16 - -6)*15/4. Let c be 3 - ((-5)/25 + (-84)/i). Factor 0*y + 0 + c*y**2 + 10/3*y**3.
2*y**2*(5*y + 2)/3
Let h(b) = 3*b**3 - 19*b**2 + 2*b - 4. Let s(i) = 16*i**3 - 95*i**2 + 11*i - 22. Let z(o) = -11*h(o) + 2*s(o). Factor z(x).
-x**2*(x - 19)
Let w be (2/92*-1436)/12. Let r = 3/46 - w. Solve 16/15 + 12/5*i**2 - 14/15*i**3 - r*i + 2/15*i**4 = 0 for i.
1, 2
Let h = 2292 - 2289. Let t(g) be the first derivative of -3/5*g**5 + 0*g - 6 + 3/2*g**2 + 9/4*g**4 - h*g**3. Find z, given that t(z) = 0.
0, 1
Let o(d) = d**2 + d - 1. Let p(h) = h**3 - h**2 - 16*h + 11. Let z(a) = 5*o(a) + p(a). Factor z(g).
(g - 1)**2*(g + 6)
Suppose -7*v + 6*v = 3. Let r(k) = 25*k**3 - 300*k**2 + 35*k + 35. Let i(p) = 2*p**3 - 25*p**2 + 3*p + 3. Let l(n) = v*r(n) + 35*i(n). Solve l(s) = 0.
0, 5
Let k = 21392 + -85993/4. Let h = -106 - k. Factor -3/4*l - 3/4*l**2 - 1/4 - h*l**3.
-(l + 1)**3/4
Suppose 0 = 2*k, 0 = 5*b + 3*k - 15 - 0. Suppose -4*p + 47 - b = 0. Find l, given that p*l - 4*l - 2*l**2 - 3*l - 2 = 0.
1
Suppose 0 = 3*l + 2*r, -9 = -2*l - l + r. Suppose -2*c - 5*f = -7*c + 60, -f - 22 = -l*c. Solve -c + 10 - 4*x**2 = 0 for x.
0
Let b(f) = 3*f - 13. Let c be b(5). Solve -3 - 2 - 2 + l + l**c + 5 = 0.
-2, 1
Let v(c) be the third derivative of 11/6*c**3 + 1/25*c**5 + 10*c**2 + 0*c + 2/5*c**4 + 1/600*c**6 + 0. Let f(b) be the first derivative of v(b). Factor f(n).
3*(n + 4)**2/5
Suppose -4*a + 0*a - 3*t + 3 = 0, -3*t - 3 = 2*a. Let l = 22765/13 - 1751. Suppose -4/13*u**a - l*u**4 + 0*u**2 + 2/13 + 4/13*u = 0. Calculate u.
-1, 1
Find y, given that -39/5*y**2 + 12/5 + y**3 + 52/5*y = 0.
-1/5, 2, 6
Let z(q) be the first derivative of -2*q**3/15 - 3*q**2/20 + q/10 - 169. Suppose z(k) = 0. What is k?
-1, 1/4
Let n(y) be the third derivative of -1/110*y**5 + 4/33*y**3 + 1/132*y**4 + 0*y + 12*y**2 + 0. Factor n(u).
-2*(u + 1)*(3*u - 4)/11
Suppose 0 + 10/9*l**4 - 22/9*l**2 - 4/3*l + 8/3*l**3 = 0. What is l?
-3, -2/5, 0, 1
Let w = 1299 + -1288. Let n(f) be the first derivative of 4*f**3 + 24*f**2 + 1/4*f**4 + 64*f - w. Find u, given that n(u) = 0.
-4
Let i(j) be the second derivative of -5*j**4/22 - 383*j**3/11 + 42*j**2 + 754*j. Factor i(a).
-6*(a + 77)*(5*a - 2)/11
Let q = 859 + -856. Let g(o) be the first derivative of 1 - 1/30*o**5 + 0*o - 1/36*o**6 + 0*o**2 + 1/18*o**q + 1/24*o**4. Factor g(a).
-a**2*(a - 1)*(a + 1)**2/6
Suppose 0 = -q - 118 + 122. Suppose 0 = 13*l - 27 - 38. Factor 8/7*h**q + 2/7*h**l - 4/7*h**2 + 8/7*h**3 - 10/7*h - 4/7.
2*(h - 1)*(h + 1)**3*(h + 2)/7
Let g = -236738/5 - -47434. Suppose -2/5*s**4 - 216/5*s - 36*s**2 + g - 34/5*s**3 = 0. What is s?
-6, 1
Suppose 2*u + 3*j = 26, -2*u + 2*j + 6 = -u. Suppose 166*x - 171*x + u = 0. Factor -8/13 - 42/13*r**x - 48/13*r + 98/13*r**3.
2*(r - 1)*(7*r + 2)**2/13
Let p(w) be the third derivative of w**5/180 + w**4/18 - 2*w**3/3 - 58*w**2 - 2*w. Factor p(q).
(q - 2)*(q + 6)/3
Factor 4/3*y - 16/15 - 2/15*y**3 - 2/15*y**2.
-2*(y - 2)*(y - 1)*(y + 4)/15
Let m be 15/25*118/177*10/4. Factor 1/3*w**4 - m - 1/2*w**3 - w**2 + 13/6*w.
(w - 1)**2*(w + 2)*(2*w - 3)/6
Suppose 2*y - 8 = -0*y. Let i(q) = q - 8. Let b be i(10). Factor -16*w**b - 3*w**3 - 15*w + 5 + y*w**2 - 11.
-3*(w + 1)**2*(w + 2)
Let f(p) be the third derivative of -1/240*p**5 + 1/480*p**6 + 0 - 5*p**2 - 1/96*p**4 + 1/24*p**3 + 0*p. Solve f(w) = 0.
-1, 1
Let o(d) be the second derivative of 0 - 5/42*d**7 - 3/2*d**5 + 0*d**2 - 5/3*d**4 - 5/6*d**3 - 8*d - 2/3*d**6. Factor o(p).
-5*p*(p + 1)**4
Let i(b) = b**2 - 7*b + 6. Let f be i(6). Let q(x) be the third derivative of 0*x**3 + 0 - 3*x**2 + 0*x**4 - 1/60*x**5 + f*x + 1/120*x**6. Factor q(w).
w**2*(w - 1)
Let a be (5/10)/(3/36). Find w such that 53*w + 3*w**5 + 0*w**2 - 56*w + 6*w**2 - a*w**4 = 0.
-1, 0, 1
Suppose -12 = 2*u - 36. Suppose d + u = 2*y - 3, d + 21 = 3*y. Solve 11*t**3 - 15*t - 10 - 12*t**3 + y*t**3 = 0 for t.
-1, 2
Let s = -125 - -233. Let p = 332/3 - s. Factor 16/3*j**3 - 20/3*j**4 - 4/3*j**2 + p*j**5 + 0*j + 0.
4*j**2*(j - 1)**2*(2*j - 1)/3
Let d(n) be the first derivative of n**8/1680 - n**7/105 + 7*n**6/120 - 3*n**5/20 + 5*n**3/3 - 25. Let k(j) be the third derivative of d(j). Factor k(t).
t*(t - 3)**2*(t - 2)
Let l(n) = 10*n**2 + 5*n - 20. Let j(f) = -11*f**2 - 2*f + 19. Let v(r) = 5*j(r) + 6*l(r). Suppose v(g) = 0. What is g?
-5, 1
Solve 2 - 4/3*j - 2/3*j**2 = 0 for j.
-3, 1
Let a(r) = r**3 + 1. Let j(c) = -5*c**3 - 6*c**2 + 5. Let v(h) = -6*a(h) - 2*j(h). Factor v(o).
4*(o - 1)*(o + 2)**2
Let c(j) = j**3 + 26*j**2 + 86*j + 80. Let t(q) = q**3 + 27*q**2 + 87*q + 80. Let v(l) = 3*c(l) - 2*t(l). Find w such that v(w) = 0.
-20, -2
Let j(o) be the second derivative of -15*o - 1/2*o**3 + 0 - 1/2*o**4 + 3/20*o**5 + 3*o**2. What is k in j(k) = 0?
-1, 1, 2
Let g(s) be the first deriv