- 65*u**3/3 + 5*u**2 - 13. Factor i(v).
5*v*(v - 1)**3*(7*v - 2)
Let c(b) = -b**3 - 16*b**2 + b - 22. Let o be c(-16). Let u = o - -38. Factor u + 7/2*x**2 - x - 5/2*x**3.
-x*(x - 1)*(5*x - 2)/2
Suppose -2/3 - t**2 + 1/3*t**4 + 1/3*t**3 - 5/3*t = 0. What is t?
-1, 2
What is m in -6/7 + 3/7*m**2 - 3/7*m = 0?
-1, 2
Let t(h) be the third derivative of 0*h**6 + 0 + 0*h + 1/6*h**4 - 1/84*h**8 + 4/105*h**7 + 0*h**3 - 4*h**2 - 2/15*h**5. Let t(l) = 0. What is l?
-1, 0, 1
Let r(i) be the second derivative of 2/15*i**3 + 1/5*i**2 + 1/30*i**4 + 0 + 3*i. Solve r(h) = 0.
-1
Find o such that -6*o**2 - 118*o + 118*o + 8 + 2*o**3 = 0.
-1, 2
Let s(t) be the third derivative of 0 - 1/80*t**6 + 1/420*t**7 + 0*t + 0*t**3 + 0*t**5 + 2*t**2 + 1/12*t**4. What is p in s(p) = 0?
-1, 0, 2
Let b(n) be the second derivative of 0*n**3 - 3/20*n**5 + 0 + n - 3/4*n**4 + 6*n**2. Factor b(i).
-3*(i - 1)*(i + 2)**2
Let q(h) be the third derivative of 0*h**3 - 1/735*h**7 + 1/392*h**8 + 0*h + 0*h**4 - 1/210*h**6 + 0 + 0*h**5 + h**2. Factor q(u).
2*u**3*(u - 1)*(3*u + 2)/7
Let o(s) be the second derivative of -s**4/48 + 5*s**3/12 - 9*s**2/8 + 42*s. Factor o(r).
-(r - 9)*(r - 1)/4
Suppose u**5 + 16*u - 16*u - 3*u**4 + u**3 + 5*u**4 = 0. Calculate u.
-1, 0
Let k(h) be the first derivative of -1/2*h**2 + 0*h**3 + 1/4*h**4 - 2 + 0*h. Factor k(q).
q*(q - 1)*(q + 1)
Let v(z) = -z**2 - z. Suppose -2*u - 3 - 37 = y, 4*y + 186 = 5*u. Let d(t) = -20*t**2 - 26*t + 2. Let k(h) = y*v(h) + 2*d(h). Factor k(p).
4*(p - 1)**2
Let u(b) be the first derivative of b**6/15 - 12*b**5/25 + 13*b**4/10 - 8*b**3/5 + 4*b**2/5 - 19. Factor u(h).
2*h*(h - 2)**2*(h - 1)**2/5
Let t(o) be the third derivative of -o**6/900 - o**5/150 - o**4/60 + o**3/6 + 5*o**2. Let c(x) be the first derivative of t(x). Suppose c(y) = 0. Calculate y.
-1
Let t(v) be the second derivative of -v**5/100 - 7*v**4/60 - 8*v**3/15 - 6*v**2/5 - 19*v. Factor t(h).
-(h + 2)**2*(h + 3)/5
Find y such that 0*y**4 - 6*y**3 - 2*y**2 + 6*y**2 - 7*y**2 - 3*y**4 = 0.
-1, 0
Let t(y) be the first derivative of 2*y**3/33 + y**2/11 - 4*y/11 + 11. Determine b, given that t(b) = 0.
-2, 1
Let z be 14/4 - 1/(-2). Suppose 3*l = 2*l + 4. Let k**2 - z + 4 - l*k + 5*k = 0. Calculate k.
-1, 0
Suppose -2 = -2*y, 6*o - 3*o = -5*y + 5. Let s(c) be the first derivative of 1/3*c**3 + o*c - 2 - 1/4*c**2. Factor s(g).
g*(2*g - 1)/2
Let m be (-8)/15 + -3 + (-72)/(-20). Let t(v) be the second derivative of 0 - m*v**5 - 1/3*v**2 - v - 1/6*v**3 - 2/15*v**6 + 1/18*v**7 + 7/18*v**4. Factor t(l).
(l - 1)**3*(l + 1)*(7*l + 2)/3
Let o(w) be the first derivative of 1/8*w**4 + 0*w**2 + 0*w**3 + 6 - 1/3*w**6 + 3/10*w**5 + 0*w. Determine k, given that o(k) = 0.
-1/4, 0, 1
Let m(z) be the first derivative of z**5/10 - z**4/4 + z**2/2 - z/2 - 1. Factor m(n).
(n - 1)**3*(n + 1)/2
Let s(l) = 2*l**2. Let n be s(1). Factor -6*x**n + x**2 + 3*x**2 - 2*x - 7*x**2 - 4*x**3.
-x*(x + 2)*(4*x + 1)
Factor -2/5 + 2/5*i**2 - 2/5*i + 2/5*i**3.
2*(i - 1)*(i + 1)**2/5
Let j(w) = -w**3 + 4*w**2 - 2*w + 8. Let y be j(4). Let -4/3*r**2 + y*r + 0 + 14/3*r**3 - 10/3*r**4 = 0. What is r?
0, 2/5, 1
Let u(w) be the second derivative of -5*w**5/17 - 45*w**4/34 - 16*w**3/17 + 64*w**2/17 - 2*w - 1. Factor u(q).
-2*(2*q - 1)*(5*q + 8)**2/17
Let d(t) = -7*t**4 - 28*t**3 + 298*t**2 - 1376*t + 2405. Let p(f) = 16*f**4 + 56*f**3 - 597*f**2 + 2753*f - 4811. Let b(w) = -9*d(w) - 4*p(w). Factor b(v).
-(v - 7)**4
Suppose 2*z + 7 = 2*y - 3, -5*z = 3*y - 7. Let m(i) be the first derivative of i + i**y + 2 - 2*i**2 - 1/3*i**3. Factor m(k).
(k - 1)*(k + 1)*(4*k - 1)
Let l be (-8)/(-20)*(6 - 1). Factor 6 + l - 8*q + q**2 + q**2.
2*(q - 2)**2
Let z = 139/16758 + -1/2793. Let u(s) be the second derivative of -5/18*s**4 - 1/18*s**6 + 5/18*s**3 - 1/6*s**2 + 3*s + z*s**7 + 0 + 1/6*s**5. Factor u(x).
(x - 1)**5/3
Let k(z) be the first derivative of -z**4 + 0*z**2 + 0*z - 1/5*z**5 - 4/3*z**3 + 7. Find l, given that k(l) = 0.
-2, 0
Factor -126*j + j**2 - 3*j**2 + 124*j.
-2*j*(j + 1)
Let b(s) be the first derivative of 1/4*s**3 + 3/8*s**2 - 3/20*s**5 - 7 + 0*s - 3/16*s**4. Suppose b(f) = 0. Calculate f.
-1, 0, 1
Let g(l) be the second derivative of 0 + 5*l + 1/5*l**2 + 3/10*l**3 - 1/12*l**4. Find o, given that g(o) = 0.
-1/5, 2
Let a(h) be the third derivative of -h**6/210 + 8*h**5/35 - 32*h**4/7 + 1024*h**3/21 + 30*h**2. Let a(n) = 0. Calculate n.
8
Find t, given that 2 + 1 - 3*t**2 + 12*t - 3 = 0.
0, 4
Suppose y + 18 = 4*y. Factor 5*s - y*s**3 + s - 2 - 3*s**4 + 5 + 0.
-3*(s - 1)*(s + 1)**3
Suppose 3*q - 4*o + o - 12 = 0, 3*q = -5*o - 20. Let f(a) be the third derivative of 0*a**4 - 2*a**2 + 0 + 0*a + 1/210*a**5 + 1/420*a**6 + q*a**3. Factor f(t).
2*t**2*(t + 1)/7
Let y(a) = 2*a + 5 + 3*a**2 + 5*a - 2*a**2 - 2. Let t be y(-7). Determine n, given that 9/4*n - 1/2 - t*n**2 + 5/4*n**3 = 0.
2/5, 1
Suppose -2*s + 3*s = o - 6, 0 = -5*s + 3*o - 20. Let n = -2/3 - s. Factor 2*f**2 + 8/3 + n*f**3 + 4*f.
(f + 2)**3/3
Let d(b) = 4*b**2 - b + 1. Let s be d(-1). Solve 26 - 5*g**2 + 2*g**2 - 17 - s*g = 0.
-3, 1
Let l(h) be the second derivative of 2*h**7/7 + 16*h**6/15 + 7*h**5/5 + 2*h**4/3 - 20*h. What is f in l(f) = 0?
-1, -2/3, 0
Suppose 3*k - 6*k = 2*i + 11, -4*k = -i + 22. What is m in 1/5*m**i + 0 - 1/5*m = 0?
0, 1
Find a, given that 1/4*a**2 - 5/4*a + 1/4*a**3 + 3/4 = 0.
-3, 1
Let a(h) = h**2 - 13*h + 15. Let k be a(12). Suppose 5*u = 2*d + k + 18, 25 = 5*u. Factor 4/11 + 10/11*c + 2/11*c**3 + 8/11*c**d.
2*(c + 1)**2*(c + 2)/11
Let t(r) be the second derivative of -r**9/37800 + r**7/6300 + 3*r**4/4 + 3*r. Let q(y) be the third derivative of t(y). Factor q(b).
-2*b**2*(b - 1)*(b + 1)/5
Let y(i) be the second derivative of -i**7/3360 + i**6/720 - i**5/480 + i**3/3 + 5*i. Let c(f) be the second derivative of y(f). Factor c(d).
-d*(d - 1)**2/4
Let h = -45 + 45. Find o such that -3*o**2 + 1/2*o - 2*o**4 + 9/2*o**3 + h = 0.
0, 1/4, 1
Let n(k) be the third derivative of 0*k**3 - 1/90*k**5 + 0 + 1/18*k**4 - 1/180*k**6 + 0*k + k**2. Factor n(d).
-2*d*(d - 1)*(d + 2)/3
Suppose -4*q = 5*i + 24 - 87, 0 = -3*q - 9. Suppose 3*m - 12 = -4*a - 0*m, -5*a + i = 5*m. Suppose 2/3*u**4 - 4/3*u**2 + 2/3*u**a + 0*u + 0 = 0. Calculate u.
-2, 0, 1
Let p(g) be the third derivative of g**6/280 + 3*g**5/70 + 9*g**4/56 + 13*g**2. Factor p(j).
3*j*(j + 3)**2/7
Let h(t) = t**4 - t**3 - t**2 - 7*t. Let r(z) = z**4 - z**3 - z**2 - 13*z. Let a(s) = -7*h(s) + 4*r(s). Factor a(v).
-3*v*(v - 1)**2*(v + 1)
Let c(g) be the third derivative of 1/70*g**7 + 0*g**4 + 1/112*g**8 - 1/20*g**6 + 0*g**5 + 0*g + 0*g**3 + 5*g**2 + 0. Let c(q) = 0. What is q?
-2, 0, 1
Let r(b) be the first derivative of b**4/12 + b**3/3 + b**2/2 + 5*b + 4. Let h(o) be the first derivative of r(o). Factor h(u).
(u + 1)**2
Let h(n) = -n**2 + 2*n + 1. Let a be (1 + -2)*5*-1. Let z = a - 3. Let v(r) = r**3 - 3*r - 1. Let j(g) = z*v(g) + 3*h(g). Solve j(i) = 0 for i.
-1/2, 1
Let q(a) be the third derivative of a**3 + 1/70*a**7 + 1/8*a**4 - 1/448*a**8 - 1/8*a**5 + 2*a**2 + 0*a + 0 - 1/160*a**6. Factor q(d).
-3*(d - 2)**3*(d + 1)**2/4
Let a(c) = c**5 - c**4 + c - 1. Let u(r) = -7*r**5 + 7*r**4 + r**3 - r**2 - 6*r + 6. Let x(s) = -6*a(s) - u(s). Determine y, given that x(y) = 0.
-1, 0, 1
Suppose 3*y - 26 = -5*t, 3*y = -2*y + 10. Let o(f) be the first derivative of 0*f**2 + 0*f - 2 - 1/14*f**t + 2/21*f**3. Factor o(d).
-2*d**2*(d - 1)/7
Let y = -4 + 7. Let k = -1 - -19. Solve 12*f**y - f**4 + 12*f - 2*f**4 - k*f**2 + 0*f**4 - 3 = 0 for f.
1
Let l(i) be the first derivative of -i**7/840 + i**6/360 + i**3/3 - 4. Let k(n) be the third derivative of l(n). Factor k(t).
-t**2*(t - 1)
Let y = 98 + -98. Let a(i) be the third derivative of y*i - 1/60*i**5 + 2*i**2 + 0*i**3 - 1/24*i**4 + 0. Factor a(v).
-v*(v + 1)
Let n(a) = 6*a**5 + 2*a**4 - 2*a**3 - 6*a**2 + 2*a. Let d(q) = q**5 - q**4 + q**3 - q**2 + q. Let x(v) = -2*d(v) + n(v). Factor x(j).
4*j**2*(j - 1)*(j + 1)**2
Let o(d) be the second derivative of -d**6/30 - d**5/10 + d**4/3 + d**3/3 - 3*d**2/2 + 38*d. Suppose o(w) = 0. Calculate w.
-3, -1, 1
What is g in 0 - 64/9*g**2 + 292/9*g**4 - 170/9*g**5 + 8/9*g - 22/3*g**3 = 0?
-2/5, 0, 2/17, 1
Let b(h) be the first derivative of -3*h**5/100 - h**4/20 + 11*h + 4. Let n(v) be the first derivative of b(v). Find z, gi