+ 2*o**3. Solve q(x) = 0.
0, 1
Suppose 4*o + g = 2 + 9, 2*o = -3*g + 13. Let u(c) = 2*c**4 - c**3 - 2*c - 2. Let y(b) = b**4 - b**3 + b**2 - b - 2. Let p(k) = o*u(k) - 3*y(k). Factor p(h).
(h - 1)**2*(h + 1)*(h + 2)
Let r(t) be the third derivative of -3*t**7/70 + 7*t**6/120 + t**5/30 + 8*t**2. What is v in r(v) = 0?
-2/9, 0, 1
Let c(r) = r**2 + 10*r. Let j be c(-10). Solve j*w**2 - w**2 - w + 2*w = 0 for w.
0, 1
Let u(j) be the first derivative of -2 + 3/4*j**4 + 0*j + 3/2*j**2 + 2*j**3. Let u(n) = 0. What is n?
-1, 0
Let b be (-4)/(-2) + 1*-7. Let p be (-4)/60*(b + -1). Factor 0 + 0*h + p*h**3 - 2/5*h**2.
2*h**2*(h - 1)/5
Let o(b) be the second derivative of b**6/70 + 9*b**5/140 + b**4/14 - 20*b. Find f, given that o(f) = 0.
-2, -1, 0
Let n be (-1 + 2)*0*(-3)/6. Factor n*d - 1/2*d**3 + 0 + 1/2*d**2.
-d**2*(d - 1)/2
Let x be (-2 + 0 + 3)*0. Suppose 0*a**3 + 0 - 1/3*a**4 + x*a**2 + 0*a - 1/3*a**5 = 0. What is a?
-1, 0
Factor 8/7*q - 2/7*q**4 + 0*q**2 - 6/7*q**3 + 0.
-2*q*(q - 1)*(q + 2)**2/7
Factor -1/3*f**4 - 8/3*f - 2*f**3 - 4*f**2 + 0.
-f*(f + 2)**3/3
Let k(u) be the second derivative of 5*u**8/112 - 6*u**7/35 + 9*u**6/40 - u**5/10 - u**2 - 3*u. Let b(q) be the first derivative of k(q). Factor b(t).
3*t**2*(t - 1)**2*(5*t - 2)
Let d(s) be the third derivative of s**5/150 - 13*s**4/60 + 4*s**3/5 - 3*s**2 + 1. Factor d(k).
2*(k - 12)*(k - 1)/5
Let c(p) be the second derivative of -p**7/1890 + p**6/540 - p**5/360 + p**4/12 - p. Let h(s) be the third derivative of c(s). Solve h(j) = 0.
1/2
Let 45*b**4 - 68*b**4 + 33*b**4 + 60*b**2 - 20*b - 45*b**3 = 0. What is b?
0, 1/2, 2
Let p be (4/(-16))/(2/(-24)). Let t = 2 + p. Suppose 1/2*m**2 - 1/2*m**t + 0*m + 1/2*m**3 + 0 - 1/2*m**4 = 0. Calculate m.
-1, 0, 1
Let c = -1493/2 - -7701/10. Let g = 24 - c. Solve -2/5*q**3 + 2/5*q + g - 2/5*q**2 = 0 for q.
-1, 1
Determine n, given that 38/9*n**4 - 16/9 - 22/9*n**2 + 68/9*n - 82/9*n**3 + 14/9*n**5 = 0.
-4, -1, 2/7, 1
Let l be 0 - -1 - (-10)/10. Let s(t) be the first derivative of l*t**5 + 9*t**5 - 13*t**5 - 6*t**3 - 6*t**4 - 3 - 2*t**2. Factor s(r).
-2*r*(r + 1)**2*(5*r + 2)
Let y = -665 + 668. Factor 1/2*j**y - 3/2 + 7/2*j - 5/2*j**2.
(j - 3)*(j - 1)**2/2
Let m(q) be the first derivative of -q**7/42 - q**6/30 + q**5/20 + q**4/12 - q + 1. Let i(k) be the first derivative of m(k). Determine w so that i(w) = 0.
-1, 0, 1
Suppose 5*r + 14 = -2*m, 5*r = 2*r + 3*m. Let c be r/4*4/(-3). Factor c*j + 1/3*j**2 + 1/3.
(j + 1)**2/3
Let i be ((-5)/((-60)/(-9)))/(1/(-4)). Let v(c) = -c + 4. Let w be v(2). Solve -5*x**2 - 3*x**3 + x**4 - x + 4*x**2 + 6*x**i - w*x**3 = 0.
-1, 0, 1
Let o be (-2)/(-1) + 2 - 1. Let y be 1/(((-2)/(-30))/(40/25)). What is v in 15*v**2 - 6 - 2*v**3 + o - y*v + 19 - 3*v**2 = 0?
2
Suppose 4*x + 0 = 16. Let y(q) be the third derivative of 0 - 1/84*q**x + 0*q + 0*q**3 + 2*q**2 - 1/210*q**5. Factor y(v).
-2*v*(v + 1)/7
Factor -5*n**2 - 22*n - 8*n + 12*n**3 - 7*n**3.
5*n*(n - 3)*(n + 2)
Let v(d) be the second derivative of 1/30*d**6 - 9/100*d**5 + 7/60*d**4 - 1/15*d**3 + 0*d**2 - 1/210*d**7 + 0 + 6*d. Factor v(u).
-u*(u - 2)*(u - 1)**3/5
Let a = 9 + -4. Suppose 10*n - a*n = -15, 0 = 3*z + 2*n. Determine l so that -2/3*l**z - 4/3*l - 2/3 = 0.
-1
Let h = 6 - 4. Suppose -2*z = -5*i + 9, 2*z + h*i = -0*z + 12. Factor 8*l - 3*l**3 - 4 - l**3 + 2*l**2 + 5*l**z - 7*l**2.
(l - 2)**2*(l - 1)
Suppose 0 = 5*u - 15 - 20. Factor 9*d**2 + 5*d - 3*d**4 + 4*d + 4*d - u*d.
-3*d*(d - 2)*(d + 1)**2
Let j = 77/416 + -1/32. What is b in -j*b**2 + 6/13*b + 0 = 0?
0, 3
Let b(i) = i**3 - 5*i**2 - 5*i + 9. Let l be b(6). Let n be (l/(-20))/((-15)/8). Determine c so that -1/5*c**2 + n*c**3 + 0*c + 0 - 1/5*c**4 = 0.
0, 1
Let f = 8 - 4. What is z in 2*z**5 + 4*z**4 - 4*z**5 - 2*z**f = 0?
0, 1
Factor -3*v**2 + 0*v**2 - 3*v**2 - 2*v**3 + 5*v**3.
3*v**2*(v - 2)
Let k(z) = z**3 + 4*z**2 + 4*z + 3. Let a be k(-3). Suppose 2*w - 3 = 1. Factor -c + a*c - c**w + 6 - 4.
-(c - 1)*(c + 2)
Let n(r) = -r**3 + 5*r**2 + 4*r + 7. Let l be n(5). Factor -27 + 4*o**4 + l - 2*o**5 - 2*o**3.
-2*o**3*(o - 1)**2
Let r be (-56)/(-5) + 2/(-10). Suppose -4*q = -n - r, -4*q + 2*n + 14 - 4 = 0. Factor a**q + a - 4*a**3 + 2*a**3.
-a*(a - 1)*(a + 1)
Let k(x) be the second derivative of -3/5*x**6 - 4*x**2 - 37/6*x**4 - 3*x**5 - 3*x - 20/3*x**3 + 0. Factor k(j).
-2*(j + 1)**2*(3*j + 2)**2
Let c(f) be the third derivative of 0 + 0*f**3 + 0*f**5 + 0*f**6 + 1/24*f**4 - f**2 + 1/7560*f**7 + 0*f. Let o(v) be the second derivative of c(v). Factor o(b).
b**2/3
Factor 12/5 + 8/5*s - 4/5*s**2.
-4*(s - 3)*(s + 1)/5
Factor 6/5*t + 3/5*t**2 + 3/5.
3*(t + 1)**2/5
Let w(a) be the first derivative of a**9/12096 - 4*a**3/3 - 1. Let d(z) be the third derivative of w(z). Factor d(x).
x**5/4
Let o(y) be the first derivative of -y**4/3 + y**3/3 - 2*y + 2. Let z(p) be the first derivative of o(p). Factor z(s).
-2*s*(2*s - 1)
Let j(g) = 3*g**2 - 3*g. Let b(h) = -h**2 + h. Suppose -5*c = 64 + 46. Let f = -16 - c. Let y(i) = f*j(i) + 17*b(i). Factor y(u).
u*(u - 1)
Let l(b) be the first derivative of 3*b**4/20 - 3*b**2/10 - 7. Determine f, given that l(f) = 0.
-1, 0, 1
Solve -1 + 1/2*w + 1/2*w**2 = 0.
-2, 1
Suppose 3*z + 3*i - 8 = 5*i, i = -5*z + 22. Let b(n) be the first derivative of -3 - 1/10*n**5 + 1/8*n**2 + 1/6*n**3 + 0*n**z + 0*n - 1/24*n**6. Solve b(q) = 0.
-1, 0, 1
Let d(c) = 14*c**3 + 7*c**2 + 3*c - 3. Let i = 4 + -6. Let k(x) = 14*x**3 + 6*x**2 + 2*x - 2. Let w(h) = i*d(h) + 3*k(h). Factor w(z).
2*z**2*(7*z + 2)
Suppose 3*r - 3*i = 21, 13*r - 14*r + 2*i = -12. Factor 4*w**2 - 2/5*w**5 - 4*w**3 - r*w + 2*w**4 + 2/5.
-2*(w - 1)**5/5
Let f(h) = 12*h - 58. Let u be f(5). Factor 1/5 + 3/5*q + 3/5*q**u + 1/5*q**3.
(q + 1)**3/5
Factor 33*j**2 - 5*j**3 + 41 - 5 - 60*j - 3*j**2 + 4.
-5*(j - 2)**3
Let c(p) be the first derivative of -1/4*p**3 - 4 + 1/4*p + 1/4*p**2. Determine y so that c(y) = 0.
-1/3, 1
Let u be 2/(((-364)/(-8))/13). Suppose -u - 6/7*n - 2/7*n**2 = 0. Calculate n.
-2, -1
Let x = -74/3 + 25. Factor -1/3*c**3 + 1/3 - x*c**2 + 1/3*c.
-(c - 1)*(c + 1)**2/3
Factor -2*g - 4*g**4 - 11*g**4 - g**4 - 24*g**3 - 12*g**2.
-2*g*(2*g + 1)**3
Let g(m) be the second derivative of -m**7/105 + m**5/25 - m**3/15 + 2*m. Let g(z) = 0. Calculate z.
-1, 0, 1
Let b(u) be the third derivative of -u**7/1155 - u**6/396 - u**5/660 - 7*u**3/6 - 4*u**2. Let a(i) be the first derivative of b(i). Let a(z) = 0. Calculate z.
-1, -1/4, 0
Suppose 45 = 2*x + 7. Let w = 19 - x. Factor w*c**2 + 0*c + 0 - 2/3*c**3 - 2/3*c**4.
-2*c**3*(c + 1)/3
Let v = -20 - -20. Let s be v/(-1)*8/8. Solve 4/11*n**3 - 2/11*n + 0 + 0*n**4 - 2/11*n**5 + s*n**2 = 0.
-1, 0, 1
Suppose 16 = 2*z + 4*m + 6, 3*m = 0. Let r(p) be the third derivative of -1/120*p**6 + 0*p**3 + 2*p**2 + 0 - 1/20*p**z + 0*p - 1/12*p**4. Factor r(o).
-o*(o + 1)*(o + 2)
Let r(n) be the first derivative of n**4/14 + 4*n**3/21 + n**2/7 - 5. Factor r(b).
2*b*(b + 1)**2/7
Let u(p) be the second derivative of -2*p + 0*p**2 - 1/2*p**3 + 1/20*p**6 - 3/10*p**5 + 0 + 5/8*p**4. Factor u(m).
3*m*(m - 2)*(m - 1)**2/2
Let o(m) be the second derivative of 1/66*m**4 - 1/33*m**3 - 11*m - 1/11*m**2 + 1/110*m**5 + 0. Factor o(q).
2*(q - 1)*(q + 1)**2/11
Let k(h) be the second derivative of -1/3*h**4 - 1/3*h**3 + 0 - 3*h - 4/15*h**6 + 0*h**2 + 7/10*h**5. Factor k(l).
-2*l*(l - 1)**2*(4*l + 1)
Let u = 4 - 1. Let u*r**5 + r**2 + 2*r**2 - 3*r**3 - 3*r**4 - 8 + 8 = 0. What is r?
-1, 0, 1
Let p(n) be the first derivative of -4*n**3/3 + 16*n - 11. Factor p(z).
-4*(z - 2)*(z + 2)
Let v(s) = -s**3 - 8*s**2 + s + 8. Let f be v(-8). Let h(x) be the first derivative of f*x + 1/9*x**3 - 2 - 1/6*x**2. Solve h(n) = 0.
0, 1
Let y(l) be the second derivative of -3*l**5/20 - l**4/2 - l**3/2 + 5*l. What is p in y(p) = 0?
-1, 0
Let u(c) be the second derivative of 11/4*c**4 + 2*c**5 + 0 - 2*c + 1/2*c**2 + 8/15*c**6 + 5/3*c**3. Factor u(x).
(x + 1)**2*(4*x + 1)**2
Let u(d) be the third derivative of d**7/735 - d**5/210 - 5*d**2. Factor u(i).
2*i**2*(i - 1)*(i + 1)/7
Let k = -14/37 + 1106/185. Let v(h) be the first derivative of -98/15*h**3 - 2 - 8/5*h + k*h**2. What is l in v(l) = 0?
2/7
Let s = -123 + 127. Factor 0 + 3/5*d**5 - 2/5*d - 3/5*d**2 + 7/5*d**s + 3/5*d**3.
d*(d + 1)**3*(3*d - 2)/5
Let z(k) be the third derivative of -k**8/84