2*s(r) - 9*u(r). Factor l(f).
4*(f - 2)*(f - 1)*(6*f + 1)
Let s be (-44)/42 - (-104)/78. Factor -8/7 + 0*j + s*j**2.
2*(j - 2)*(j + 2)/7
Let k = -7227 + 4336201/600. Let y(v) be the third derivative of v**2 + 0*v**3 + 0*v - k*v**6 + 1/300*v**5 + 0 + 0*v**4. What is w in y(w) = 0?
0, 1
Suppose 2*d - 21 = 4*f + f, f = 5*d - 41. Factor 2*h - 3 - d*h + 3*h**2 - 4*h**2 - 2*h**2.
-3*(h + 1)**2
Let q(k) be the second derivative of -k**4/4 - 7*k**3/6 - k**2 - 4*k. What is a in q(a) = 0?
-2, -1/3
Find t such that -2/5*t**2 - 1/5*t + 0 = 0.
-1/2, 0
Let w = -6 + 7. Let m(q) be the first derivative of -1/5*q**2 + 0*q - 8/15*q**3 - w - 1/2*q**4 - 4/25*q**5. Suppose m(b) = 0. What is b?
-1, -1/2, 0
Let s(d) be the first derivative of -2*d**6/21 + 12*d**5/35 - 3*d**4/7 + 4*d**3/21 + 23. Factor s(u).
-4*u**2*(u - 1)**3/7
Let c(z) be the third derivative of z**7/280 - z**6/160 - 3*z**5/80 + z**4/32 + z**3/4 - z**2. Factor c(i).
3*(i - 2)*(i - 1)*(i + 1)**2/4
Let v = 19 - 16. Factor v + 12*n + 8 - 3 + 4*n**2.
4*(n + 1)*(n + 2)
Let g(u) be the first derivative of 2*u**2 - 2 + 2*u + 2/3*u**3. Suppose g(l) = 0. What is l?
-1
Let x(f) = 2*f**3 - 5*f**2 - 4*f + 3. Let z(u) = -2*u**3 + 6*u**2 + 4*u - 4. Let j(i) = -4*x(i) - 3*z(i). Solve j(a) = 0.
-1, 0, 2
Let z(w) be the second derivative of -3*w**5/20 - w**4/2 - w**3/2 - 22*w. Let z(n) = 0. What is n?
-1, 0
Let p(g) be the first derivative of -g**7/105 - g**6/30 - 3*g**2 + 7. Let s(o) be the second derivative of p(o). Factor s(x).
-2*x**3*(x + 2)
Let r = 5 - -18. Let i = r + -91/4. Determine h so that -2*h**3 + 1/4*h**4 + h**5 - 1/2*h**2 + i + h = 0.
-1, -1/4, 1
Let -t**3 + 0 - 1/3*t**4 + 1/3*t**2 + 1/3*t**5 + 2/3*t = 0. What is t?
-1, 0, 1, 2
Let s(h) = h**3 - 4*h**2 + 2*h - 5. Let m be s(4). Let r be m/21 - (-45)/175. Let -u + r + 2/5*u**2 = 0. Calculate u.
1/2, 2
Suppose -6*i - 36 = -3*i. Let s be (-5)/i + (-17)/(-68). Factor 2/9*m**5 + 0 + 2/3*m**3 + 2/9*m**2 + 0*m + s*m**4.
2*m**2*(m + 1)**3/9
Suppose j = -3*a + 5*j + 18, 24 = 4*a + 4*j. Let h be 2 - (-2)/a*0. Determine f, given that 2/5*f**h - 4/5*f + 0 = 0.
0, 2
Let v(p) be the second derivative of -p**7/189 + p**6/135 + p**5/90 - p**4/54 + 5*p. Find w, given that v(w) = 0.
-1, 0, 1
Let h be (-6)/(-15) - (-136)/60. Suppose -1/3*q + h*q**3 + 5*q**2 - 2/3 - 20/3*q**4 = 0. Calculate q.
-1/2, 2/5, 1
Let u(n) be the first derivative of -8/9*n**3 + 1/6*n**4 + 2 + 5/3*n**2 - 4/3*n. Factor u(r).
2*(r - 2)*(r - 1)**2/3
Let k(u) = u**2 + u - 3. Let y be k(-4). What is f in 2*f + y + 6*f**4 - 9 - 6*f**2 - 2*f**3 = 0?
-1, 0, 1/3, 1
Let i(f) be the second derivative of -f**6/15 + f**5/5 - 2*f**3/3 + f**2 - 41*f. Let i(o) = 0. Calculate o.
-1, 1
Let c(u) be the second derivative of -u**6/75 - u**5/10 - 7*u**4/30 - u**3/5 + 29*u. Factor c(j).
-2*j*(j + 1)**2*(j + 3)/5
Let d be -2*-3*5/75. Factor -2/5*k**3 - d*k + 0 + 4/5*k**2.
-2*k*(k - 1)**2/5
Factor 4/13 - 4/13*h**2 + 6/13*h.
-2*(h - 2)*(2*h + 1)/13
Let c(i) be the first derivative of 4 - 4/11*i + 1/22*i**4 + 0*i**3 - 3/11*i**2. Suppose c(y) = 0. What is y?
-1, 2
Let d be (-2 + (-2)/(-1))/(-2). Solve d + 0*m + 2/5*m**2 = 0 for m.
0
Let o be ((-6)/(-9) + -1)*-6. Let s(i) be the first derivative of 0*i**o - 1/5*i**5 + 0*i + 1/18*i**6 + 1/4*i**4 - 1/9*i**3 - 3. Factor s(x).
x**2*(x - 1)**3/3
Let b(w) = w**2 - 6*w + 5. Let t be b(6). Suppose t*c + 20 = 5*o, -2 = -o - 2*c - 10. Suppose -2*m**3 + o - 1 - 7 + 6*m**2 = 0. What is m?
-1, 2
Let q = 8275/338 - -3/169. Factor 0*z - 77/2*z**4 + 16*z**3 + 0 + q*z**5 - 2*z**2.
z**2*(z - 1)*(7*z - 2)**2/2
Let c(a) be the second derivative of 5*a**4/32 - a**3/16 - 6*a. Factor c(b).
3*b*(5*b - 1)/8
Suppose -2*w = 2*s - 2, 0 = -0*s + 3*s + w - 1. Let b(a) be the first derivative of 0*a**3 + 1/9*a**4 + s*a + 0*a**2 - 2/15*a**5 - 4 - 5/27*a**6. Factor b(c).
-2*c**3*(c + 1)*(5*c - 2)/9
Let b(h) be the third derivative of h**9/15120 + h**8/1680 + h**7/630 + h**4/8 - h**2. Let o(p) be the second derivative of b(p). Solve o(s) = 0.
-2, 0
Let x(d) be the second derivative of -8*d**7/21 + 6*d**6/5 - 6*d**5/5 + d**4/3 + 9*d. Let x(r) = 0. Calculate r.
0, 1/4, 1
Factor 0*v + 3/2*v**3 + 0 + 21/4*v**2.
3*v**2*(2*v + 7)/4
Let j(a) be the second derivative of -a**4/12 - 5*a**3/6 - 3*a**2 - a - 7. Factor j(m).
-(m + 2)*(m + 3)
Let u(z) be the first derivative of -z**5/60 + z**4/36 + z**3/18 - z**2/6 - 3*z + 2. Let g(s) be the first derivative of u(s). Factor g(o).
-(o - 1)**2*(o + 1)/3
Let l(o) be the first derivative of -1/9*o**3 - 1/6*o**2 + 1/3*o + 1/12*o**4 + 1. Solve l(z) = 0.
-1, 1
Let s(j) = 8*j**2 - j - 1. Let u be s(-2). Let a be 1/3 + u/63. Factor -a*n**3 - 2/7*n**4 + 0 - 6/7*n**2 - 2/7*n.
-2*n*(n + 1)**3/7
Suppose 0 = -3*w - 2*w + 10. Factor -2 - c**3 + 3*c**w - c**2 + 2*c + 0*c**3 - c**3.
-2*(c - 1)**2*(c + 1)
Let n(d) be the third derivative of 7/12*d**4 + 49/180*d**5 + 0 + 1/2*d**3 + 0*d + 4*d**2. Determine v, given that n(v) = 0.
-3/7
Let o be (-66)/121 + (-320)/(-264). Factor -o*s**2 + 2/3*s + 4/3.
-2*(s - 2)*(s + 1)/3
Let m(t) be the third derivative of -t**7/2940 - t**6/315 - t**5/105 + t**3/6 + 4*t**2. Let q(n) be the first derivative of m(n). What is d in q(d) = 0?
-2, 0
Let h = 1607/5649 + 1/807. Determine b, given that -h*b - 6/7*b**2 - 6/7*b**3 + 0 - 2/7*b**4 = 0.
-1, 0
Suppose -v + 10 = 4*v. Let k be (0/(-1))/(-1 + 2). Factor k*n**2 + 2*n**5 + 0*n**2 - v*n**3.
2*n**3*(n - 1)*(n + 1)
Let 33/7*i**2 - 6/7*i + 18/7*i**3 + 0 = 0. Calculate i.
-2, 0, 1/6
Suppose -5 = -y - 3. Let -85*k**2 + 79*k**y - 33*k**3 + 6*k**3 = 0. Calculate k.
-2/9, 0
Suppose 0 = 4*b - 5 - 7. Factor b*y**2 - 4 - 6*y**2 - 2*y**3 - 10*y - 5*y**2.
-2*(y + 1)**2*(y + 2)
Let p = -5 - -4. Let c = 3 + p. Let 4 + 3*k**c - 2*k**2 + 0*k**2 + 4*k = 0. Calculate k.
-2
Let a = 619 + -619. Factor 12*q**2 + 12/5*q + a - 9/5*q**3 + 147/5*q**5 - 42*q**4.
3*q*(q - 1)**2*(7*q + 2)**2/5
Let x = -2 + 7/2. Let x + 9/4*w + 3/4*w**2 = 0. What is w?
-2, -1
Let l = 18 + -13. Let s(q) be the third derivative of 0 - 1/30*q**3 + 1/60*q**4 - 1/300*q**l + 0*q - q**2. Let s(f) = 0. What is f?
1
Let u(i) be the third derivative of -i**5/16 - 3*i**4/32 + i**3/4 - 3*i**2. Factor u(g).
-3*(g + 1)*(5*g - 2)/4
Let f be 190/(-45) + 4 + (-49)/(-180). Let s(y) be the third derivative of f*y**5 - 3/4*y**4 + 0*y + 9/2*y**3 + 0 - 2*y**2. Determine a so that s(a) = 0.
3
Let n = 11 - 9. Let x be 4/35 - n/(-7). Determine d, given that 2/5*d**2 + 0*d - 2/5*d**4 + 0 - 2/5*d**5 + x*d**3 = 0.
-1, 0, 1
Let t be 24/14 - (-22)/77. Let -2*y**t + 3 - 4 + 8*y - 7 = 0. Calculate y.
2
Let c(y) = -2*y**2 - 20*y - 8. Let s(z) be the first derivative of -z**3/3 - 13*z**2/2 - 5*z - 8. Let x(j) = 5*c(j) - 8*s(j). Solve x(n) = 0 for n.
0, 2
Let f(w) be the second derivative of 8/3*w**3 + 1/10*w**5 - 4*w - 5/6*w**4 + 0 - 4*w**2. Let f(t) = 0. Calculate t.
1, 2
Let y(f) be the second derivative of -f**6/420 - f**5/70 + 4*f**3/21 + f**2/2 + 3*f. Let j(x) be the first derivative of y(x). Factor j(k).
-2*(k - 1)*(k + 2)**2/7
Let x = 4 + 12. Let d(t) = t**2 - 5*t - 5. Let r(k) = 6*k**2 - 24*k - 24. Let n(p) = x*d(p) - 3*r(p). Solve n(g) = 0 for g.
-2
Let s = -800/3 - -281. Let o = s - 14. Find v such that 0*v - o + 1/3*v**2 = 0.
-1, 1
Suppose 2 = g + 6. Let w be -1 - (-2)/g*-2. Factor w + 2/7*h**2 - 2/7*h.
2*h*(h - 1)/7
Let 114*u**2 - u - 105*u**2 + 6 + 16*u = 0. What is u?
-1, -2/3
Let p(u) = -9*u**3 - 4*u**2 + u. Let d(o) = 19*o**3 + 9*o**2 - o. Let l(s) = -4*d(s) - 9*p(s). Suppose l(g) = 0. Calculate g.
-1, 0, 1
Find q, given that 0 - 9/2*q + 3/2*q**2 = 0.
0, 3
Let s(o) be the second derivative of 0 - 1/40*o**6 + 7/60*o**5 + o**2 + 2*o + 1/6*o**3 - 5/24*o**4. Let q(k) be the first derivative of s(k). Factor q(j).
-(j - 1)**2*(3*j - 1)
Let x(c) be the first derivative of c**6/105 + 3*c**5/70 - c**4/21 - 4*c**3/7 - 8*c**2/7 + 3*c + 2. Let w(y) be the first derivative of x(y). Factor w(b).
2*(b - 2)*(b + 1)*(b + 2)**2/7
Let r(p) be the second derivative of 1/21*p**3 + 0*p**2 + 3/70*p**5 + 3*p + 0 - 1/105*p**6 - 1/14*p**4. Let r(j) = 0. What is j?
0, 1
Let v be ((-404)/(-135))/(-2) - (-39)/26. Let d(m) be the third derivative of -2*m**2 + 1/27*m**3 + 0*m + 0 + v*m**5 + 1/54*m**4. Suppose d(f) = 0. Calculate f.
-1
Let j(x) be the second derivative of x**3/6 + x**2 + 4*x. Let s be