 be 1 - (1 + -1 + -2). Let a be 5*(-3)/5*-1. Factor q - 5 + a*j - 4*j**2 + 3*j**2.
-(j - 2)*(j - 1)
Let p = -240 - -242. Factor 0 - 2/5*x - 3/5*x**p - 1/5*x**3.
-x*(x + 1)*(x + 2)/5
Let t(g) be the first derivative of -1/6*g**4 - 1/3*g**3 + 1/3*g**2 + 3 + 1/5*g**5 + 0*g. Let t(o) = 0. Calculate o.
-1, 0, 2/3, 1
Let c = -54 - -60. Let p(w) be the first derivative of -2/5*w**5 + 0*w + 0*w**2 + 3 + 2/3*w**3 + 1/2*w**4 - 1/3*w**c. Factor p(r).
-2*r**2*(r - 1)*(r + 1)**2
Let 7 - 5*h - 2*h**2 - 3 + 6 - 3*h**2 = 0. Calculate h.
-2, 1
Let d(g) be the third derivative of -g**6/60 + g**5/6 - 2*g**4/3 + 4*g**3/3 + 7*g**2. Suppose d(y) = 0. Calculate y.
1, 2
Factor -50*o**3 - 980 + 332*o + 15*o**2 + 454*o - 5*o**4 - 86*o.
-5*(o - 2)**2*(o + 7)**2
Let c be ((-36)/180)/((-1 + -3)/2). Let s(b) be the third derivative of 3/5*b**3 - 4*b**2 + 0 - c*b**4 + 0*b + 1/150*b**5. Factor s(m).
2*(m - 3)**2/5
Suppose -15 = -5*k + c, 5*k = 5*c + 7 + 28. Suppose 2*t - 5*d - 17 = 0, k*t + 115 = 7*t + 2*d. Factor 2*o - o**3 - t + 21 + o**2.
-o*(o - 2)*(o + 1)
Let d = -1331/24 - -169/3. Let k = -3/8 + d. Suppose -k - 1/4*g**2 - 3/4*g = 0. What is g?
-2, -1
Suppose 2 = 5*x - 3*x. Let m = 3 - x. What is b in 3*b**2 - b - 2*b**2 - m*b**2 = 0?
-1, 0
Let q(b) be the third derivative of b**7/588 - b**6/630 - b**5/84 + b**4/42 + 7*b**3/6 + 5*b**2. Let s(d) be the first derivative of q(d). Factor s(a).
2*(a - 1)*(a + 1)*(5*a - 2)/7
Let q(z) = 2*z**2 + 4. Let d be q(3). Suppose 2*j - 6 + 2 = 0. Find m such that -m**j - 1 - m - 2*m + d*m**4 + 8*m**5 - 2*m + 17*m**3 = 0.
-1, -1/4, 1/2
Let o(w) be the first derivative of w**5/20 + w**4/4 + w**3/2 + 2*w**2 + 1. Let j(l) be the second derivative of o(l). Factor j(k).
3*(k + 1)**2
Let k = 35 - 33. Let c(b) be the first derivative of -1 + 2/3*b - b**k - 8/9*b**3. What is r in c(r) = 0?
-1, 1/4
Let p be -12*2*5/(-40). Let n = -8/5 - -29/15. Factor 1/3*b**2 - 1/3*b**p + 1/3*b - n.
-(b - 1)**2*(b + 1)/3
Let o(r) = r**3 - 7*r**2 + 5. Let v be o(7). Suppose -s = -v*s. Let -f**2 + 0 + s - f**3 = 0. What is f?
-1, 0
Let t(c) be the second derivative of -2*c**4/27 - 2*c**3/9 - 6*c - 3. Factor t(j).
-4*j*(2*j + 3)/9
Let a(y) be the third derivative of y**8/336 + 23*y**7/1470 + 13*y**6/840 - 19*y**5/420 - 5*y**4/42 - 2*y**3/21 + 7*y**2. Solve a(k) = 0.
-2, -1, -2/7, 1
Let p(o) = 5*o**3 + 10*o**2 - 9*o. Let l(r) = -4*r**3 - 9*r**2 + 8*r. Let q(m) = -6*l(m) - 5*p(m). Solve q(i) = 0.
0, 1, 3
Let q be -2*3/(-27) - 10/(-36). Factor 1/2*j**5 + 0 + 0*j**4 + 0*j**2 + q*j - j**3.
j*(j - 1)**2*(j + 1)**2/2
Suppose -2*f + 5*k + 27 = 0, -4*k + 1 = f - 19. Suppose g - f = -3*g. Factor 5*t - g*t + 2*t**2 - t.
2*t**2
Let p(s) be the first derivative of -1/2*s**2 + 1 + 1/12*s**4 + 3*s + 0*s**3. Let z(w) be the first derivative of p(w). Suppose z(l) = 0. Calculate l.
-1, 1
Let s(g) be the third derivative of -g**7/840 + g**5/120 - g**3/2 + 2*g**2. Let b(z) be the first derivative of s(z). Determine v so that b(v) = 0.
-1, 0, 1
Let g(f) be the first derivative of -5*f**4 - 6*f**3 - 8/5*f**5 - 7/2*f**2 - f + 5. Suppose g(u) = 0. What is u?
-1, -1/2
Let j(b) be the third derivative of b**7/15 + b**6/30 - 7*b**5/30 - b**4/6 - 8*b**2. Find i such that j(i) = 0.
-1, -2/7, 0, 1
Let i(c) be the second derivative of -c**7/21 + c**6/60 + c**5/10 - c**4/24 + 8*c. Suppose i(w) = 0. Calculate w.
-1, 0, 1/4, 1
Suppose 2*x + 0*v - 53 = -3*v, -3*x = -4*v - 122. Suppose 2*z - x + 10 = 4*a, -3*z + 21 = -3*a. Factor 0*y**2 + z*y**3 + 4 - y**3 - 4*y**2 + y**2.
(y - 2)**2*(y + 1)
Solve 0 + 0*v + 24/5*v**2 - 48/5*v**3 - 6*v**4 = 0.
-2, 0, 2/5
Let n be (-2)/(-3)*1*(-15)/(-40). Let y(r) be the first derivative of n*r**2 - 1/4*r**4 + 0*r - 2 + 1/12*r**6 + 0*r**3 + 0*r**5. Factor y(g).
g*(g - 1)**2*(g + 1)**2/2
Let b(f) be the third derivative of -f**7/630 + f**6/90 - f**5/36 + f**4/36 + 3*f**2. Find l, given that b(l) = 0.
0, 1, 2
Factor -2/7*l**3 - 96/7*l - 24/7*l**2 - 128/7.
-2*(l + 4)**3/7
Let w(o) be the second derivative of 0 - 4*o + 0*o**2 + 0*o**3 - 1/4*o**4 + 1/10*o**6 + 0*o**5. Find c, given that w(c) = 0.
-1, 0, 1
Let z(v) be the second derivative of v**9/1344 - v**8/448 + v**7/480 - v**6/1440 + v**3 + v. Let t(b) be the second derivative of z(b). What is o in t(o) = 0?
0, 1/3, 1
Let v(d) be the third derivative of 0*d**4 - 1/120*d**5 + 0*d**3 + 0 + 0*d - 2*d**2 + 1/420*d**7 - 1/672*d**8 + 1/240*d**6. Solve v(x) = 0 for x.
-1, 0, 1
Factor -6 - 3*n + 3/4*n**4 + 15/4*n**3 + 9/2*n**2.
3*(n - 1)*(n + 2)**3/4
Suppose -x - 1 = g + 2*x, 0 = 5*g - 2*x - 12. Let f(k) be the first derivative of 1/12*k**3 - 1/4*k + 0*k**g - 1. Solve f(y) = 0.
-1, 1
Suppose 2*d + 5*u = 5, 4 = 5*d + 4*u - 0. Factor 2/3*m**3 + d + 4/3*m + 2*m**2.
2*m*(m + 1)*(m + 2)/3
Suppose -q - 2*h + 12 = 0, -4*q + 5*q - h = -3. Factor 0*y + 3*y**4 + 3*y**q + 4*y - 4 + 2*y**4 - 4*y**4 - 4*y**3.
(y - 2)**2*(y - 1)*(y + 1)
Let o(f) be the third derivative of -f**5/270 + f**4/54 + 9*f**2. Factor o(s).
-2*s*(s - 2)/9
Let o(n) be the first derivative of -n**6/45 - n**5/15 + 2*n**3/9 + n**2/3 - 2*n - 1. Let z(l) be the first derivative of o(l). Factor z(w).
-2*(w - 1)*(w + 1)**3/3
Let s(z) be the third derivative of -z**6/480 + z**5/48 - z**4/32 - 3*z**3/8 - 4*z**2. Factor s(f).
-(f - 3)**2*(f + 1)/4
Let g(i) be the third derivative of i**5/180 + 5*i**4/72 - 3*i**2. Factor g(a).
a*(a + 5)/3
Let k(o) be the first derivative of o**6/2160 - o**5/360 + o**4/144 - o**3 + 2. Let c(f) be the third derivative of k(f). Factor c(w).
(w - 1)**2/6
Let m(n) = 2*n**3 + 2*n**2 + 4*n + 8. Let z(o) = -o**2 - 1. Let u(k) = -m(k) - 8*z(k). Determine r, given that u(r) = 0.
0, 1, 2
Determine k so that 2/5*k**2 - 1/5*k**3 + 0*k + 0 - 3/5*k**4 = 0.
-1, 0, 2/3
What is m in 1/3*m**2 - 1/3*m - 2/3 = 0?
-1, 2
Let c be -2 + 0 - (-656)/112. Find m, given that c*m**5 + 0*m**2 + 0*m**4 - 39/7*m**3 + 0 + 12/7*m = 0.
-1, -2/3, 0, 2/3, 1
Solve 34/7*x**3 - 16/7 - 40/7*x + 22/7*x**4 + 4/7*x**5 - 4/7*x**2 = 0 for x.
-2, -1/2, 1
Suppose -6 = -6*b + 3*b. Suppose 0*s**3 + s**2 - 5*s**3 + 3*s**3 - s**4 - b*s**2 = 0. What is s?
-1, 0
Let j(s) be the third derivative of -9*s**5/4 - 25*s**4/8 - 5*s**3/3 + 4*s**2. Factor j(w).
-5*(3*w + 1)*(9*w + 2)
Let j = 10 + -4. Let h(q) be the third derivative of -1/36*q**j + 0*q + 1/105*q**7 - 2*q**2 + 1/45*q**5 + 0*q**3 + 0 + 0*q**4. Factor h(r).
2*r**2*(r - 1)*(3*r - 2)/3
Suppose -4*g + 5*j - 17 = 0, -6*j = -4*j - 10. Let r = -45/2 - -23. Factor -r*i**3 - i**g + 0*i + 0.
-i**2*(i + 2)/2
Let f(v) be the first derivative of v**4 - 8*v**3/3 - 6*v**2 + 34. Factor f(o).
4*o*(o - 3)*(o + 1)
Let y(d) = -d**4 + d - 1. Let f(r) = -10*r**4 + 2*r**2 + 9*r - 10. Suppose -112 = 3*l - 2*a, -l - 64 = -4*a - 20. Let w(p) = l*y(p) + 4*f(p). Factor w(t).
-4*(t - 1)**2*(t + 1)**2
Let h(m) be the third derivative of m**5/140 + 16*m**2. Factor h(c).
3*c**2/7
Let n(i) be the second derivative of -2*i**7/399 - i**6/285 + 3*i**5/190 + 15*i + 1. Suppose n(l) = 0. What is l?
-3/2, 0, 1
Suppose -5*r + 45 = 30. Determine c, given that 14/5*c**2 - 6*c - 2/5*c**r + 18/5 = 0.
1, 3
Let j(m) = 2*m + 3. Let o be j(-6). Let d(k) = -k**2 - 10*k - 9. Let w be d(o). What is s in 1 + 0*s + s**2 + 2*s + 0*s + w*s = 0?
-1
Let y(r) be the second derivative of -r**7/56 - r**6/20 + 3*r**5/80 + r**4/8 - 7*r. Find w, given that y(w) = 0.
-2, -1, 0, 1
Let s(i) be the third derivative of -i**8/224 - i**7/140 + i**6/40 + i**5/20 - i**4/16 - i**3/4 + 7*i**2. Factor s(h).
-3*(h - 1)**2*(h + 1)**3/2
Let p(z) be the second derivative of -z**7/168 - z**6/120 + z**5/80 + z**4/48 + 6*z. Find u such that p(u) = 0.
-1, 0, 1
What is m in 0*m + 2/5*m**2 + 0 - 14/5*m**3 + 24/5*m**4 = 0?
0, 1/4, 1/3
Let n be 0 + (-2 - (-2)/1). Suppose n*x = -5*x + 10. Factor 7*l**x + 1 - 5*l + 0*l - 3*l**2.
(l - 1)*(4*l - 1)
Suppose r + 4*s = 2*r + 17, -4*r + 3*s = 3. Factor 36*f - 2*f**r - 36*f.
-2*f**3
Let r(q) = q**3 - 7*q**2 + 9*q - 6. Let o be r(6). Suppose -w + o = 3*m, -5*w + 18 = 3*m - 2*w. Factor 6/5*i**2 - 12/5*i + 8/5 - 1/5*i**m.
-(i - 2)**3/5
Let q(k) be the second derivative of k**7/210 + k**6/30 + k**5/25 - 27*k. What is u in q(u) = 0?
-4, -1, 0
Suppose 3*b - b**3 + 3*b**4 + 0*b - 3*b**2 - 2*b**3 = 0. Calculate b.
-1, 0, 1
Let g = 0 + 4. Let i(m) = -m**3 + 7*m**2 + 9*m - 2. Let d be i(8). Sup