- 2*i + 3/25*i**6. Factor f(u).
2*u*(u + 1)*(3*u + 1)**2/5
Let i(t) be the first derivative of 1/6*t**2 - 1/36*t**6 + 4 + 1/8*t**4 - 5/18*t**3 + 1/30*t**5 + 0*t. Find b, given that i(b) = 0.
-2, 0, 1
Let q = -6 + 5. Let v(x) = -147*x**4 - 504*x**3 - 267*x**2 + 291*x - 51. Let l(d) = -d**2 + d - 1. Let w(t) = q*v(t) + 3*l(t). Let w(c) = 0. What is c?
-2, 2/7
Let c be 9/10*((-380)/(-30))/19. Factor -c*k**4 + 0*k**2 + 0 + 0*k - 3/5*k**3.
-3*k**3*(k + 1)/5
Let k(a) be the second derivative of -a**6/90 + a**5/20 - 2*a**3/9 + 5*a. Factor k(p).
-p*(p - 2)**2*(p + 1)/3
Let x(l) = -l - 5. Let p be x(-9). What is g in -4/3*g**2 + 0*g + 0*g**3 + 1/3*g**p + 0 = 0?
-2, 0, 2
Let -18*f + 0 - 6*f**3 - 2/3*f**4 - 18*f**2 = 0. Calculate f.
-3, 0
Let t(b) be the first derivative of b**3/9 + b**2/3 - 12. Factor t(o).
o*(o + 2)/3
Let n(t) be the third derivative of -1/15*t**5 - 1/2*t**4 + t**2 + 0 - 4/3*t**3 + 0*t. Find b, given that n(b) = 0.
-2, -1
Find u such that -2/3*u**2 - 8/3 - 8/3*u = 0.
-2
Let l = -186 + 190. Factor 0*b - 3/5*b**5 + 8/5*b**l + 2/5*b**2 + 0 - 7/5*b**3.
-b**2*(b - 1)**2*(3*b - 2)/5
Let k(n) be the second derivative of -n**6/180 + n**4/72 + 26*n. Factor k(q).
-q**2*(q - 1)*(q + 1)/6
Let r(s) be the third derivative of s**5/12 - s**4/24 - 3*s**2. Let c be r(-1). Factor -98*k**4 + 40*k - 8 + 61*k**3 + c*k**2 - 201*k**3 + 0*k**2.
-2*(k + 1)**2*(7*k - 2)**2
Let s(n) = 2*n**2 + 6*n - 8 - 3*n**2 - 15*n. Let k(i) = i + 1. Let b(y) = 14*k(y) + 2*s(y). Find o, given that b(o) = 0.
-1
Let x(c) = c**3 - 9*c**2 + 2*c - 11. Let i be x(9). Factor i*b**2 + b**5 + b**2 + 8*b**4 - 3*b**5 - 2*b - 12*b**3.
-2*b*(b - 1)**4
Let y(v) be the third derivative of 0*v + 0*v**4 + 0*v**5 - 1/1440*v**6 - v**2 + 0 + 1/6*v**3. Let a(b) be the first derivative of y(b). Factor a(i).
-i**2/4
Suppose -4/5*j + 1/5*j**4 - 4/5 + 4/5*j**3 + 3/5*j**2 = 0. What is j?
-2, -1, 1
Let z(p) be the second derivative of -2*p**4/3 - 7*p**3/3 - 3*p**2 + 2*p. Let r(x) = 15*x**2 + 28*x + 13. Let n(s) = -2*r(s) - 5*z(s). Factor n(u).
2*(u + 1)*(5*u + 2)
Factor 9*x**2 - x**4 + 7*x**2 - 14*x**2 - 1.
-(x - 1)**2*(x + 1)**2
Let t(q) be the second derivative of 3*q**6/10 - 11*q**5/20 - 4*q**4/3 + 2*q**3/3 - 47*q. Let t(v) = 0. What is v?
-1, 0, 2/9, 2
Let c(i) be the first derivative of 4*i**3/27 + 14*i**2/9 + 32. Factor c(d).
4*d*(d + 7)/9
Let m be (-4)/(-8)*(0 + 6). Suppose s**5 + 0*s**5 - m*s**5 = 0. What is s?
0
Suppose -11*y - 18 = -17*y. Let p(k) be the second derivative of -1/20*k**5 - 2*k**2 + 0 + 1/4*k**4 - y*k + 0*k**3. Let p(w) = 0. Calculate w.
-1, 2
Let u = -31 + -1. Let y = u + 36. Factor 0 + 16*w**2 - 2*w - 45/2*w**3 - 81/2*w**y.
-w*(w + 1)*(9*w - 2)**2/2
Factor 0*q - 4/7*q**5 - 4/7*q**4 + 4/7*q**3 + 4/7*q**2 + 0.
-4*q**2*(q - 1)*(q + 1)**2/7
Let k(n) be the second derivative of -n**6/135 + 11*n**5/90 - 19*n**4/54 + n**3/3 - 27*n. Factor k(z).
-2*z*(z - 9)*(z - 1)**2/9
Let g = 23 - 13. Suppose -3*t + g = 2*t. Solve 8*w**t + 3*w - w - 2*w**2 = 0 for w.
-1/3, 0
Let f(b) be the third derivative of b**5/60 - b**4/12 - b**3/2 + 6*b**2. Find d, given that f(d) = 0.
-1, 3
Let s(t) be the second derivative of 1/3*t**4 + 0*t**2 + 0*t**3 + 2/5*t**5 + 0 + 2/15*t**6 + 4*t. Determine b so that s(b) = 0.
-1, 0
Let n(k) = k**3 + 22*k**2 - 23*k + 2. Let r be n(-23). Determine z so that r*z**2 - 3/2 - 11/2*z = 0.
-1/4, 3
Suppose i = 5*i. Let w = 9 + -5. Factor 4/9*l**3 + 2/3*l**w + 0*l + i - 2/9*l**2.
2*l**2*(l + 1)*(3*l - 1)/9
Let q(b) be the second derivative of -b**6/180 + b**5/60 - 5*b**3/6 + b. Let t(a) be the second derivative of q(a). Factor t(d).
-2*d*(d - 1)
Let x(w) be the third derivative of -w**8/840 + 2*w**7/525 - w**6/300 + 2*w**2. Factor x(h).
-2*h**3*(h - 1)**2/5
Suppose -5*a = 4*u - 9*u - 15, 2*u = 4*a - 14. Factor -14*y - 6*y**2 - 6*y + u - 7.
-2*(y + 3)*(3*y + 1)
Suppose -5*v - b + 2*b = -38, -3*v - b + 18 = 0. Suppose -j + 2*h - v = 7*h, 4*h + 20 = 4*j. Find s, given that 0 + 1/2*s**2 + 1/2*s**j + 0*s = 0.
-1, 0
Let h be 1 + 0 - 12/6. Let v be h/(9/6*-2). Find j such that 2*j**3 - 4/3*j**2 + 1/3*j**5 - 4/3*j**4 + v*j + 0 = 0.
0, 1
Suppose 2*r = 5*r. Let v(u) be the second derivative of -1/12*u**3 + r + 1/24*u**4 + 0*u**2 - u. Let v(c) = 0. What is c?
0, 1
Let q(i) be the first derivative of 1/8*i**4 - 1/4*i**2 - i + 1/3*i**3 - 3. Factor q(x).
(x - 1)*(x + 1)*(x + 2)/2
Let w = 292/7 + -1397/35. Factor -6/5*r + 0 + w*r**2 - 3/5*r**4 + 0*r**3.
-3*r*(r - 1)**2*(r + 2)/5
Let d(h) be the first derivative of h**4/4 + 4*h**3 + 11*h**2/2 + 4*h + 13. Let o be d(-11). Factor -2/5*w**3 + 0 + 1/5*w**5 + 1/5*w + 0*w**2 + 0*w**o.
w*(w - 1)**2*(w + 1)**2/5
Let v be 18/(-15)*15/(-6). Let 2 + 4*c - 7*c**3 - 2 + 3*c**2 - 4 + 3*c**v + c**4 = 0. What is c?
-1, 1, 2
Let 1 + 3*l + 3*l**2 + 23*l**3 + 0*l - 11*l**3 - 11*l**3 = 0. What is l?
-1
Let p = 42 + -42. Let r(g) = g**2 - 4*g - 5. Let w be r(5). Find c such that -1/4*c**3 + w*c**2 + p + 1/4*c = 0.
-1, 0, 1
Let y(w) be the first derivative of -3*w**4/4 - 4*w**3 - 15*w**2/2 - 6*w + 15. Determine h so that y(h) = 0.
-2, -1
Factor 1/8*t**2 + 3/4*t + 9/8.
(t + 3)**2/8
Let q(i) be the first derivative of -3*i**6/7 + 4*i**5/35 + 6. Factor q(y).
-2*y**4*(9*y - 2)/7
Suppose 10/19*u - 2/19*u**3 - 6/19*u**2 + 2/19*u**4 - 4/19 = 0. What is u?
-2, 1
Let p(w) = -w**3 - 31*w**2 - 41*w - 17. Let b(u) = -8*u**3 - 280*u**2 - 368*u - 152. Let y(t) = -3*b(t) + 28*p(t). Determine v so that y(v) = 0.
-5, -1
Let r(x) be the first derivative of -3*x**5/5 - 3*x**4/4 + x**3 + 3*x**2/2 - 21. Factor r(z).
-3*z*(z - 1)*(z + 1)**2
Let v(g) be the second derivative of -2*g**6/15 + 2*g**5/5 + 4*g**4 + 28*g**3/3 + 10*g**2 - 2*g. Solve v(w) = 0.
-1, 5
Let m be 930/1485 - 8/44. Let 2/3*y**4 + 2/3*y - m*y**2 - 2/9 - 2/9*y**5 - 4/9*y**3 = 0. Calculate y.
-1, 1
Let u = 10 + -19. Let c = -6 - u. Solve -4*v**2 + 2*v**2 + 0*v**3 + 0*v**2 + v**c = 0 for v.
0, 2
Suppose -3*u - 5*c - 16 = 0, 16*u + 5*c = 21*u - 40. Find o such that -16/13*o + 2/13*o**5 - 8/13 + 10/13*o**4 + 14/13*o**u - 2/13*o**2 = 0.
-2, -1, 1
Let y(k) = 3*k**2 + 3*k + 4. Let p(q) be the first derivative of 13*q**3/3 + 6*q**2 + 17*q + 4. Let z(t) = 2*p(t) - 9*y(t). Let z(d) = 0. Calculate d.
-2, -1
Let n(w) = w + 1. Let a be n(1). Let y(b) be the first derivative of 0*b - 2 - 2/9*b**3 - 2/3*b**a. Find p, given that y(p) = 0.
-2, 0
Factor -2*b**2 - 2/5*b**4 + 8/5*b**3 + 0 + 4/5*b.
-2*b*(b - 2)*(b - 1)**2/5
Suppose -2*f + o = -0*f, 0 = -5*f + 3*o - 1. Let y(x) = x**3 + x**2 - x - 1. Let b(w) = -3*w**3 + w**2 + w + 1. Let n(r) = f*b(r) + y(r). Factor n(u).
-2*u**2*(u - 1)
Factor 3*z + 3*z**4 + z**2 - 3*z**3 + 9*z**4 - 11*z**4 - 2.
(z - 2)*(z - 1)**2*(z + 1)
Suppose -d + 4*d + 12 = 0. Let f be 7/14 + (-6)/d. Find k such that -8/5*k**f + 0 - 4/5*k - 3/5*k**3 = 0.
-2, -2/3, 0
Let j(w) = -w**2 - 1. Let l(m) = -2*m**2 - 6*m. Let a(k) = -4*j(k) + l(k). Factor a(d).
2*(d - 2)*(d - 1)
Suppose t = 4*q + 44, 0 = -q - 5*t - 3 - 8. Let l = q - -14. Find w such that 2/3*w - 2/3*w**l + 0*w**2 + 1/3*w**4 - 1/3 = 0.
-1, 1
Let f(s) be the first derivative of -7*s**4/20 - 23*s**3/15 - 3*s**2/5 - 9. Factor f(t).
-t*(t + 3)*(7*t + 2)/5
Let r(x) be the second derivative of -x**5/120 + x**4/24 - x**2/3 - x. Factor r(l).
-(l - 2)**2*(l + 1)/6
Suppose -2*l + 5*i = -5 - 5, -2 = -l + i. Suppose -2*d - 4*r + 0*r - 12 = 0, l = 5*d - r - 14. Factor 2*c - 2 - 1/2*c**d.
-(c - 2)**2/2
Let a(p) = p**2 + 3*p + 3. Let y be a(-3). Let s(l) be the first derivative of 1 - 2/9*l**y - 8/3*l - 4/3*l**2. Factor s(o).
-2*(o + 2)**2/3
Let w(o) be the third derivative of o**7/735 + o**6/140 - 3*o**2. Let w(y) = 0. What is y?
-3, 0
Let c(h) = -2*h**3 - 8*h**2 - 7*h - 4. Let r be c(-5). Let o be (-36)/r - (-4)/6. What is z in 0 - 4/9*z - o*z**2 = 0?
-2, 0
Let w(m) = 12*m**5 + 20*m**4 - 4*m**3 - 14*m**2. Let r(g) = -g**5 - g**4 + g**2. Let h(j) = 28*r(j) + 2*w(j). Factor h(f).
-4*f**3*(f - 2)*(f - 1)
Let y be (4/(-6))/((8/30)/(-2)). Let w(a) be the second derivative of -1/9*a**4 + 0*a**2 + 1/126*a**7 + 0 + 1/18*a**3 - 2/45*a**6 + 1/10*a**y + a. Factor w(v).
v*(v - 1)**4/3
Let j be (1/(-8))/(15/(-6)). Let z(t) be the second derivative of 1/10*t**6 - 2*t + 0 - 1/4*t**4 - j*t**5 + 1/6*t**3 + 0*t**2. Let z(g) = 0. Calculate g.
-1, 0, 1/3, 1
What is m in 2 - 3*m**3 + 9*m + 