- 3*w**u + 5 + 1 + 0*w = 0?
-2, 1
Let z(n) be the first derivative of -n**6/12 - 7*n**5/10 - 5*n**4/4 + n**3/3 + 11*n**2/4 + 5*n/2 + 60. Factor z(s).
-(s - 1)*(s + 1)**3*(s + 5)/2
Let 2/5*z**2 - 2/5*z - 2/5*z**4 + 3/10*z**3 + 1/10*z**5 + 0 = 0. What is z?
-1, 0, 1, 2
Let b(l) = 8*l + 10. Let p be b(0). Factor -10 + d**2 + p + 6*d - d.
d*(d + 5)
Let u(d) = -4*d + 46. Let p be u(9). Factor -8 - x**2 + 7*x**2 - p*x - 8*x**2.
-2*(x + 1)*(x + 4)
Let p(d) be the third derivative of d**9/15120 - d**8/6720 + d**4/6 - 3*d**2. Let j(b) be the second derivative of p(b). Factor j(s).
s**3*(s - 1)
Let t = -559/10 + 287/5. Find k, given that t*k - 3/2*k**4 - 3 - 3/2*k**3 + 9/2*k**2 = 0.
-2, -1, 1
Suppose 0 = -3*k + 34 + 29. Suppose -29*f + 5*f - 25*f**2 + k*f**2 = 0. Calculate f.
-6, 0
Determine n, given that 4*n**4 + 99/4*n - 119/4*n**2 - 7/2 - 54*n**3 = 0.
-1, 1/4, 14
Suppose 32*f + 176 = 24*f. Let j be 30*(-8)/(-132) - 4/f. Factor 0 + 0*a - 8/9*a**5 - 2*a**4 - 2/9*a**j - 4/3*a**3.
-2*a**2*(a + 1)**2*(4*a + 1)/9
Let x(a) be the third derivative of -a**8/288 + a**7/630 + 7*a**6/240 + a**5/45 - a**4/36 + 7*a**2 - 1. Solve x(g) = 0.
-1, 0, 2/7, 2
Let u(h) be the first derivative of 0*h**3 + 3/160*h**6 + 2 - 2*h**2 + 1/16*h**4 + 0*h - 1/16*h**5. Let d(p) be the second derivative of u(p). Factor d(i).
3*i*(i - 1)*(3*i - 2)/4
Let n(z) be the second derivative of -z**9/5040 - z**8/1120 + z**7/280 - z**4 + 17*z. Let k(q) be the third derivative of n(q). Factor k(a).
-3*a**2*(a - 1)*(a + 3)
Let d(w) be the third derivative of -w**6/420 - 4*w**5/105 + 31*w**4/84 - 22*w**3/21 + 10*w**2. Factor d(j).
-2*(j - 2)*(j - 1)*(j + 11)/7
Let l = 20 - 20. Let t be 3/9*l/2. Solve t*h - 2/5*h**4 + 2/5*h**2 + 0*h**3 + 0 = 0 for h.
-1, 0, 1
Let v(t) be the third derivative of 1/30*t**5 - 2/3*t**3 + 0*t + 0 + 1/12*t**4 + 9*t**2. Find b such that v(b) = 0.
-2, 1
Let a(x) = -x**4 + 95*x**3 + 15*x**2 - 295*x + 198. Let r(u) = 3*u**4 - 190*u**3 - 30*u**2 + 590*u - 394. Let o(t) = 7*a(t) + 4*r(t). Factor o(j).
5*(j - 19)*(j - 1)**2*(j + 2)
Let j(z) be the second derivative of 0*z**2 + 0*z**4 + 0 - 1/66*z**3 - 8*z + 1/220*z**5. Factor j(x).
x*(x - 1)*(x + 1)/11
Let v be (-1 - -1)/(6 - 29 - -22). Find r, given that v + 2/9*r**2 - 2/9*r = 0.
0, 1
Let j(a) = a**5 + 2*a**4 + a**3 - a**2 + 1. Let y(g) = 4*g**5 + 13*g**4 + 6*g**3 - 8*g**2 + 5. Let w(u) = -5*j(u) + y(u). Factor w(t).
-t**2*(t - 3)*(t - 1)*(t + 1)
Let l(j) be the first derivative of -1/12*j**3 + 2 + 3/4*j**2 - 9/4*j. Factor l(y).
-(y - 3)**2/4
Let y(d) be the second derivative of d**4/60 + 7*d**3/30 + 27*d + 1. Suppose y(g) = 0. Calculate g.
-7, 0
Let v(j) be the first derivative of -j**4/4 + j**3 + 3*j**2/2 + j - 2. Let t be v(-1). What is w in 2*w**2 - 5*w**t - 42*w**3 + 45*w**3 - w**4 + w = 0?
0, 1
Factor -2/3*q**4 + 4*q**3 + 0 - 4*q + 2/3*q**2.
-2*q*(q - 6)*(q - 1)*(q + 1)/3
Let b(y) be the second derivative of y**6/45 - 11*y**4/18 - 2*y**3 - 8*y**2/3 + y + 5. Factor b(i).
2*(i - 4)*(i + 1)**2*(i + 2)/3
Suppose -19*g = -15*g - 308. Factor 3*b**4 + 38*b**3 - 18*b**4 + g*b**3 + 50*b**2 - 10*b**4.
-5*b**2*(b - 5)*(5*b + 2)
Let l(u) = 3*u**4 - 34*u**3 + 16*u**2 + 5*u + 5. Let n(a) = 8*a**4 - 84*a**3 + 40*a**2 + 12*a + 12. Let o(f) = 12*l(f) - 5*n(f). What is w in o(w) = 0?
0, 1, 2
Let x(a) be the third derivative of a**9/7560 - a**8/4200 + 2*a**3/3 + 9*a**2. Let z(w) be the first derivative of x(w). Find n, given that z(n) = 0.
0, 1
Let j = 573/11 - 52. Let r = j + 7/44. Factor -r + 0*q + 1/4*q**2.
(q - 1)*(q + 1)/4
Suppose 0*t + 12 = 2*t + 5*u, 5*u - 30 = -5*t. Factor -o**4 + t*o**4 + 1 - 13*o**3 - 6*o**2 + 8*o + 7 + 12*o.
(o - 2)**2*(o + 1)*(5*o + 2)
Let t(q) = -q**2 + q + 1. Let j(r) be the second derivative of 1/6*r**4 - 5/2*r**2 - r**3 + 0 - r. Let h(i) = -j(i) - 3*t(i). Factor h(z).
(z + 1)*(z + 2)
Factor -82*f**2 - 302*f**3 + 316*f**3 + 28*f - 20*f**2.
2*f*(f - 7)*(7*f - 2)
Factor -59 - 139*s + 41*s - 2*s**2 + 152 + 111.
-2*(s - 2)*(s + 51)
Let x be 1/3 - (-58)/6. Suppose x = 4*i + i. Suppose -2/5*q**i + 4/5 + 2/5*q = 0. What is q?
-1, 2
Suppose -4*o + 130 = 9*o. Let z be -9*(-1)/o + (-8)/16. Factor 0*g**2 + 0 + z*g**3 - 2/5*g.
2*g*(g - 1)*(g + 1)/5
Let z(u) = -u**2 + 9*u. Let j be z(8). Let k(o) = -j - o**3 - 4 - 5*o + 10. Let g(q) = 4*q**3 + 16*q + 6. Let y(b) = 2*g(b) + 7*k(b). Find c such that y(c) = 0.
-1, 2
Let v(u) be the second derivative of -u**4/9 - 32*u**3/9 + 24*u**2 + 212*u. Find f, given that v(f) = 0.
-18, 2
Let f(r) be the first derivative of -2/3*r - 1/9*r**3 + 9 + 1/2*r**2. Suppose f(c) = 0. What is c?
1, 2
Factor -i**2 + 37*i + 13*i - 4*i + 24*i - 69.
-(i - 69)*(i - 1)
Suppose q - 6*q = -2*o + 1, -4 = -4*q. Let b(f) be the first derivative of -1/12*f**o + 1/2*f**2 - f - 2. Find k, given that b(k) = 0.
2
Suppose 2 = 4*m + 2*t, 1 = 4*m + 2*t - t. Let n(c) be the third derivative of 1/30*c**5 + 0 + 0*c**3 - 1/6*c**4 - 3*c**2 + m*c. What is x in n(x) = 0?
0, 2
Let z = 39 - 31. Factor -32 - 4*w**4 + 2*w**3 + 2*w**3 + z*w**2 + 32.
-4*w**2*(w - 2)*(w + 1)
Solve -8/9*v + 2/9*v**2 + 2/3 = 0 for v.
1, 3
What is o in -4/3*o**3 + 4/3*o - 2/3 + 2/3*o**4 + 0*o**2 = 0?
-1, 1
Let t(z) be the first derivative of -z**5/20 - 7*z**4/16 + 5*z**3/6 + 2*z**2 - 264. Factor t(g).
-g*(g - 2)*(g + 1)*(g + 8)/4
Let c(l) = l**2 - l. Let n(i) be the first derivative of -1/2*i**2 + 1/3*i**3 + 0*i - 4 - 1/4*i**4. Let s(x) = 2*c(x) - 2*n(x). Factor s(j).
2*j**3
Let t be (88/396 + 304/(-882))/((-9)/84). Factor 4/7 + 4/7*m**2 - t*m.
4*(m - 1)**2/7
Let p(d) be the third derivative of 0*d**4 + 1/84*d**7 - 5/192*d**8 + 0*d**3 - 1/24*d**5 - 41*d**2 + 0*d + 7/96*d**6 + 0. Determine j, given that p(j) = 0.
-1, 0, 2/7, 1
Let a = 17/38 - -1/19. Let c be -6*(-2 + (-18)/(-12)). Factor 0 - u**2 - a*u**c + 0*u.
-u**2*(u + 2)/2
Let q(d) = 2*d**4 - 6*d**2 + 7*d - 2. Let v(m) = -m**3. Let t(c) = 5*q(c) + 5*v(c). Suppose t(u) = 0. What is u?
-2, 1/2, 1
Let o(n) = n**2 + 19*n + 38. Let k be o(-17). Factor 13*b**3 - 17*b**k + b**5 - 4*b**2 + 3*b**5 - b**3 + 5*b**4.
4*b**2*(b - 1)**3
Let f(r) = -44*r**2 + 6100*r - 209456. Let x(w) = -8*w**2 + 1109*w - 38083. Let s(m) = 5*f(m) - 28*x(m). Factor s(h).
4*(h - 69)**2
Suppose -5/2*r**2 - 11*r - 4 = 0. Calculate r.
-4, -2/5
Let w be ((0/(0 + 5))/1)/(-1). Find z, given that -2/5*z**5 + 0*z + w*z**2 - 4/5*z**3 - 6/5*z**4 + 0 = 0.
-2, -1, 0
Let q(s) = -s**2 + 9*s - 6. Let m be q(8). Suppose -w - m = -6. What is c in 5 + 2*c**w + 9 - 12 - 4*c**2 = 0?
-1, 1
Let b(z) = -18*z**2 - 196*z - 126. Let p(y) = 19*y**2 + 198*y + 128. Let u(g) = -4*b(g) - 3*p(g). Let u(r) = 0. Calculate r.
-12, -2/3
Let q(b) be the second derivative of b**4/3 + 46*b**3/3 + 44*b**2 + 22*b - 5. Find x such that q(x) = 0.
-22, -1
Let h = 26/125 + 73/250. What is w in 3/2*w - h*w**3 + 0*w**2 + 1 = 0?
-1, 2
Let d(u) be the second derivative of u**7/1680 + u**6/360 + u**5/240 + 2*u**3 + 3*u. Let f(v) be the second derivative of d(v). Find n such that f(n) = 0.
-1, 0
Let i be 33/7 + (-6)/(-21). Suppose -2*g = -4*a - 4, -5*a = g - 0 + i. Let 2*c**2 - 3*c**3 + c**3 - 4*c + 4*c**2 + g*c**3 = 0. What is c?
0, 1, 2
Suppose 2*u - 5*u = u - 2*u. Factor 0*s + u + 2/11*s**4 - 4/11*s**3 + 2/11*s**2.
2*s**2*(s - 1)**2/11
Let n(y) be the third derivative of -6*y**2 + 0*y - 1/2*y**4 - 1/15*y**5 + 0 - 4/3*y**3. Factor n(a).
-4*(a + 1)*(a + 2)
Let w(n) = 4*n**3 - 16*n**2 - 15*n + 5. Let k(x) = 6*x**3 - 16*x**2 - 16*x + 6. Let o(q) = -5*k(q) + 6*w(q). Factor o(f).
-2*f*(f + 1)*(3*f + 5)
Let k = -337/6 - -683/12. Factor 9/2*d**2 - 3*d**3 + k - 3*d + 3/4*d**4.
3*(d - 1)**4/4
Solve 0 - 31/2*j**4 - j**5 + 9*j - 71/2*j**2 + 43*j**3 = 0 for j.
-18, 0, 1/2, 1
Let t(z) be the second derivative of -z**7/63 - 7*z**6/45 - 3*z**5/5 - 11*z**4/9 - 13*z**3/9 - z**2 + 30*z - 2. Find l, given that t(l) = 0.
-3, -1
Suppose 0 = 16*i - 12*i - 16. Let n(p) be the first derivative of -57*p**3 - 48/5*p**5 - 6*p + 57/2*p**2 - 3 + 42*p**i. Determine g, given that n(g) = 0.
1/4, 1, 2
Let r(g) = 11*g**2 + 73*g + 117. Let q(h) = 24*h**2 + 147*h + 233. Let y(d) = -3*q(d) + 7*r(d). Factor y(f).
5*(f + 2)*(f + 12)
Let w(m) be the second derivative of 0*m**3 + m**2 + 1/30*m**4 + 0 - 11*m - 1/150*m**5. Let g(b) be the first derivative of w(b). Factor g(j).
-2*j*(j - 2)/5
Let o(r) = -3*r**4 - 