e x so that r(x) = 0.
-1, 0
Let m = -10 - -32/3. Factor m*r - 4/3*r**3 + 0 + 0*r**2 + 2/3*r**5 + 0*r**4.
2*r*(r - 1)**2*(r + 1)**2/3
Let j = -22 - -9. Let v = j + 21. Factor -3*y + v - 3*y**2 - 4*y - 2*y - 14.
-3*(y + 1)*(y + 2)
Let y be 8/(-16)*0*2/(-4). Factor 0 - 1/4*k**2 + y*k - 1/4*k**3.
-k**2*(k + 1)/4
Let g be (7 + 2)*6/9. Factor 0*h + h - g*h**2 + 8*h - 3*h**3.
-3*h*(h - 1)*(h + 3)
Let c(u) be the first derivative of 4*u**5/15 + 2*u**4/3 + 4*u**3/9 - 1. Suppose c(r) = 0. What is r?
-1, 0
Let d(m) be the second derivative of -19*m**4/3 - 4*m**3/3 + 24*m. Solve d(z) = 0.
-2/19, 0
Let v be ((-11)/(-33))/((-2)/(-30)). Let h(g) be the second derivative of 0*g**2 + 1/6*g**3 - 1/42*g**7 + 0 - 2*g + 1/15*g**6 + 0*g**v - 1/6*g**4. Factor h(x).
-x*(x - 1)**3*(x + 1)
Let m(w) be the second derivative of 0 + 1/14*w**4 + 1/21*w**3 + 3/70*w**5 - 4*w + 1/105*w**6 + 0*w**2. Factor m(h).
2*h*(h + 1)**3/7
Let v(c) be the second derivative of c**6/240 - c**4/12 - 3*c**2/2 - 6*c. Let m(i) be the first derivative of v(i). Factor m(a).
a*(a - 2)*(a + 2)/2
Let q(z) = z**3 + 4*z**2 + 2*z + 8. Let x be q(-4). Factor 0*o**2 - 1/5*o**3 + x + 0*o.
-o**3/5
Suppose 15 - 5 = 2*m. Factor -6/5*o + 4/5*o**3 - 4/5*o**2 - 2/5 + 2/5*o**m + 6/5*o**4.
2*(o - 1)*(o + 1)**4/5
Suppose 2*j = -0*j. Suppose j = 2*o - 3 - 5. Factor -2/3*l - 4/3*l**5 + 14/3*l**o + 0 - 6*l**3 + 10/3*l**2.
-2*l*(l - 1)**3*(2*l - 1)/3
Suppose 0 = -38*a + 36*a. Find x such that 0*x - 3/7*x**2 + a = 0.
0
Let b(l) be the second derivative of -l**6/12 + l**5/8 + 3*l. Find r such that b(r) = 0.
0, 1
Let n(y) be the second derivative of y**4/27 - 2*y**3/9 + 6*y. Find g, given that n(g) = 0.
0, 3
Let m(q) be the third derivative of q**8/43680 - q**7/8190 - q**4/12 + 2*q**2. Let y(w) be the second derivative of m(w). Suppose y(h) = 0. Calculate h.
0, 2
Let l(n) be the first derivative of -n**4 + 2*n**2 - 4. Factor l(w).
-4*w*(w - 1)*(w + 1)
Let i(z) be the first derivative of z**4 - 16/3*z**3 + 16/5*z**5 - 4 - 2*z**2 + 0*z. Factor i(p).
4*p*(p - 1)*(p + 1)*(4*p + 1)
Find j such that -3/5*j**3 + 12/5 - 24/5*j + 3*j**2 = 0.
1, 2
Let m(i) be the first derivative of 2*i - 1/9*i**3 + 1/18*i**4 + 0*i**2 - 1. Let s(w) be the first derivative of m(w). Find p, given that s(p) = 0.
0, 1
Suppose u - 2 = -2*m, -8*m + 11*m = u - 2. Suppose 1 + 1/4*v**3 - 3/4*v**u + 0*v = 0. What is v?
-1, 2
Let b(j) be the second derivative of j**7/126 - j**6/30 + j**5/60 + j**4/12 - j**3/9 - 2*j. Let b(r) = 0. What is r?
-1, 0, 1, 2
Let -5/4*t**3 + 5/4*t + 5/4*t**2 + 1/4 - 3/2*t**4 = 0. Calculate t.
-1, -1/2, -1/3, 1
Let -10*q**3 - 14*q**3 + 3*q**3 + 102*q**2 - 30*q + 9*q**2 = 0. What is q?
0, 2/7, 5
Let a(x) = -x - 1. Let s be a(-3). Solve 3 + 4*n + 3*n**s + 2*n + n - n = 0.
-1
Let i(y) = -y**3 - 3*y**2 + 3*y - 2. Let m be i(-4). Let v be (-1 - (-3)/m)*0. Find o such that 0*o**3 - 4/9*o**2 + v + 2/9*o**5 - 2/9*o + 4/9*o**4 = 0.
-1, 0, 1
Factor -23*p + 6*p**5 + 44*p**2 - 25*p - 4*p**3 - 2*p**5 - 12*p**4 - 52 + 68.
4*(p - 2)*(p - 1)**3*(p + 2)
Let u(o) = -8*o**3 + 8*o**2 + 16*o + 12. Let b(p) = p**3 - p**2 - p - 1. Let i(k) = -6*b(k) - u(k). Let i(m) = 0. What is m?
-1, 3
Let l(n) be the first derivative of 2*n**3/33 - n**2/11 - 4*n/11 + 25. Factor l(b).
2*(b - 2)*(b + 1)/11
Let z(t) be the third derivative of t**9/20160 - t**8/5040 + t**7/5040 - t**5/60 + 4*t**2. Let d(r) be the third derivative of z(r). Factor d(n).
n*(n - 1)*(3*n - 1)
Let s = -2 + 4. Let u(l) be the first derivative of -4 + 0*l + l**3 + l**4 - 1/2*l**s. Suppose u(c) = 0. Calculate c.
-1, 0, 1/4
Suppose 0 = d + 2*d - 9. Determine o, given that o**3 - 4*o**3 + 2*o**3 - 2*o**2 + 2*o**d = 0.
0, 2
Let h(z) = -8*z**4 + 3*z**2 - 5*z - 5. Let p(u) = -39*u**4 + 15*u**2 - 24*u - 24. Let q(v) = -v + 13. Let n be q(-11). Let b(w) = n*h(w) - 5*p(w). Factor b(m).
3*m**2*(m - 1)*(m + 1)
Let l(d) be the third derivative of -1/80*d**5 - d**2 - 3/32*d**4 + 0 + 0*d - 1/4*d**3. Suppose l(j) = 0. Calculate j.
-2, -1
Factor 4/11*u**2 + 0*u - 2/11*u**4 - 2/11 + 0*u**3.
-2*(u - 1)**2*(u + 1)**2/11
Let a(s) be the second derivative of s**6/3 - 3*s**5/4 - 5*s**4/12 + 5*s**3/2 - 5*s**2/2 - 7*s + 1. Factor a(u).
5*(u - 1)**2*(u + 1)*(2*u - 1)
Let z(n) = -6*n**2 - 12*n + 5. Let q(k) = 3*k**2 + 6*k - 2. Let r(v) = -5*q(v) - 2*z(v). Find b, given that r(b) = 0.
-2, 0
Let m(p) be the second derivative of -p**5/30 + p**4/18 + 3*p. Factor m(w).
-2*w**2*(w - 1)/3
Let u(a) be the first derivative of 22*a**5/35 + a**4/7 + 15. Determine k so that u(k) = 0.
-2/11, 0
Find s such that 0 - 5/2*s**4 + 5/2*s**2 + 3/2*s**3 + 1/2*s - 2*s**5 = 0.
-1, -1/4, 0, 1
Let j(n) be the third derivative of 0*n**4 + 0*n**3 + 1/240*n**5 + 0 + 0*n - 2*n**2. Factor j(k).
k**2/4
Let s(q) be the first derivative of -2*q**5/15 + q**4/3 - 2*q**3/9 - 2. Solve s(g) = 0 for g.
0, 1
Let v = 58 - 198. Let n be 4/(-3)*126/v. Solve 2/5*f**3 + 6/5*f**2 + n*f + 2/5 = 0 for f.
-1
Let q(o) be the second derivative of 49*o**6/60 - 21*o**5/2 + 571*o**4/24 - 19*o**3 + 7*o**2 + 20*o. Determine j so that q(j) = 0.
2/7, 1, 7
Let s be ((-6)/(-40))/((-24)/(-8)). Let c(p) be the third derivative of s*p**5 + 0*p - p**2 - 1/120*p**6 + 1/6*p**3 - 1/8*p**4 + 0. Solve c(n) = 0.
1
Let u = -19 - -19. Let k(b) be the second derivative of 0*b**3 + 0*b**4 - 1/20*b**5 + u - b - 1/42*b**7 - 1/15*b**6 + 0*b**2. Factor k(i).
-i**3*(i + 1)**2
Factor -x**2 + x + 1/3*x**3 - 1/3.
(x - 1)**3/3
Let a = 1253/355 - -5/71. Let c(i) be the first derivative of 9/5*i**2 + 27/10*i**4 - 2/5*i + 2 - a*i**3. Find p such that c(p) = 0.
1/3
Suppose 0 = -40*i + 35*i + 25. Find f such that -1/5*f**i - 7/5*f**3 + 8/5*f - 1/5*f**2 + f**4 - 4/5 = 0.
-1, 1, 2
Let d(l) be the third derivative of l**8/112 + l**7/14 + l**6/5 + l**5/5 - 2*l**2. Determine g, given that d(g) = 0.
-2, -1, 0
Let w(k) be the first derivative of k**3/18 + k**2/12 - k/3 + 26. Factor w(n).
(n - 1)*(n + 2)/6
Suppose -3*t + 15 = 6. Let z be (-2)/12*(-8)/2. Suppose 0 + 5/3*m**2 + z*m - 7/3*m**t = 0. What is m?
-2/7, 0, 1
Let k be (-4)/18 + (-3408)/378. Let q = -60/7 - k. Let 1/3*d**2 + d + q = 0. Calculate d.
-2, -1
Let h(x) be the second derivative of -x**8/280 - 8*x**7/525 - x**6/50 + x**4/60 - x**2 - x. Let z(p) be the first derivative of h(p). Factor z(y).
-2*y*(y + 1)**3*(3*y - 1)/5
Suppose 2*u - 4*l = -7 - 1, 5*l = -2*u - 8. Let j be (u/50)/(-1)*10. Determine q, given that 2/5*q**3 + 0*q + 0 + j*q**4 - 2/5*q**2 = 0.
-1, 0, 1/2
Let k(l) be the first derivative of 5 - 1/10*l**2 + 0*l + 2/5*l**3 - 9/20*l**4. Determine y so that k(y) = 0.
0, 1/3
Let v be 5 + (-6 - (-332)/40)*-2. Factor 1/5*t**3 + 0 + 0*t + v*t**2.
t**2*(t + 2)/5
Find d such that 18/11*d**2 + 54/11 - 2/11*d**3 - 54/11*d = 0.
3
Find j, given that -33/4*j**3 - 3 + 15/4*j**4 + 9/4*j**5 - 27/4*j**2 + 12*j = 0.
-2, 1/3, 1
Let q(r) be the first derivative of -r**4/12 - r**3/3 + 4*r/3 - 3. Solve q(a) = 0.
-2, 1
Factor -5*c - 4 + 0*c**2 - c**2 + c.
-(c + 2)**2
Let t(s) be the first derivative of s**4/4 + s**3/3 + s**2/2 + 10. Let f(x) = x**3 + 5*x**2 + 5*x + 2. Let q(j) = -2*f(j) - 2*t(j). Factor q(i).
-4*(i + 1)**3
Let h(g) = -10*g**3 + 12*g**2 - 12*g - 2. Let p(l) = -19*l**3 + 24*l**2 - 24*l - 3. Let i(t) = -11*h(t) + 6*p(t). Solve i(u) = 0.
1
Let g(a) = a**2 - 7*a - 14. Let d be g(9). Factor 6/5*r**2 - 6/5*r**3 + 3/5*r - 3/5*r**d - 3/5 + 3/5*r**5.
3*(r - 1)**3*(r + 1)**2/5
Let z be ((-103)/3)/((-2)/(-26)). Let c = -437 - z. Factor c*m**3 + 2/3*m + 5*m**2 + 0.
m*(4*m + 1)*(7*m + 2)/3
Suppose 2*y + 5*y - 5*y**2 - 3*y + y**2 = 0. What is y?
0, 1
Let g(z) be the second derivative of -z**8/53760 - z**7/20160 + z**4/3 + 5*z. Let q(d) be the third derivative of g(d). Factor q(u).
-u**2*(u + 1)/8
Let b(f) be the first derivative of f**4/4 - 7*f**3/9 - 11*f**2/3 + 8*f/3 + 29. Find r such that b(r) = 0.
-2, 1/3, 4
Let q(r) be the third derivative of 11*r**8/1512 + 4*r**7/189 + 7*r**6/540 - r**5/135 - 34*r**2. Factor q(h).
2*h**2*(h + 1)**2*(11*h - 2)/9
Let r(q) = 3*q - 6 + 5*q - q + q**2. Let n be r(-8). Factor 2*u - 4*u**2 + 4 - 3 + u**n.
-(u - 1)*(3*u + 1)
Factor -2/7*y**2 + 0 - 8/7*y.
-2*y*(y + 4)/7
Let i(t) be the second derivative of -t**4/42 + 2*t**3/21 - t**2/7 + 4*t. Let i(g) = 0. What is g?
1
Let c(l) be the third derivative of -l**5/12 + 35*l**4/24 - 25