- 2/17*b**5 + 0 + h*b**2 - 2/17*b**4 + 0*b.
-2*b**2*(b - 1)*(b + 1)**2/17
Suppose -5*q + 33 + 7 = 0. Let m be (2/6)/(q/12). Solve 0*w**2 + 0*w**3 + 0*w - 1/2*w**5 + 0 + m*w**4 = 0 for w.
0, 1
Let h(r) = -2*r**3 - 6*r**2 + 8*r + 3. Let j be h(-4). Find a, given that 0 + 0*a + 2/15*a**2 + 2/5*a**4 + 2/5*a**j + 2/15*a**5 = 0.
-1, 0
Let z(d) = -d**3 + 5*d**2 + 5*d + 6. Suppose -5*x + 14 = -16. Let q be z(x). Find m such that m**2 + m**2 + q*m**2 = 0.
0
Suppose 0 = 2*s - 0*s. Suppose s*b - 3 = -b. Suppose 4*a - 2*a**2 - b*a**2 + 3*a**2 = 0. What is a?
0, 2
Let w(d) be the first derivative of -2*d**3/3 - 3*d**2 - 16. Factor w(p).
-2*p*(p + 3)
Suppose 0*j - 3*j = -6. Suppose -d = -5*h + 4*d + 40, -j*h + 3*d + 19 = 0. Find k such that -2*k**4 + 2*k**h + 2*k**2 + 0*k**2 + 6*k**3 - 8*k**3 = 0.
-1, 0, 1
What is r in -5/3*r**4 - 5/3*r**3 - 4*r + 2/3*r**5 + 0 + 20/3*r**2 = 0?
-2, 0, 1, 3/2, 2
Factor 1/5*u**2 + 2/5 - 3/5*u.
(u - 2)*(u - 1)/5
Let x be (-18)/(-81) - (-2438)/(-36). Let h = x + 69. Find n, given that -1/4*n**2 + h*n - 9/4 = 0.
3
Let j be 16140/8608 + (-17)/(-8). Factor -2/13*p**j + 0*p + 4/13*p**3 + 0 - 2/13*p**2.
-2*p**2*(p - 1)**2/13
Suppose -24*s = -26*s + 4. Factor 4*k**2 - 7*k**s + 4*k**4 - 5*k**2 - 4*k**2 + 8*k.
4*k*(k - 1)**2*(k + 2)
Let t(j) be the first derivative of -j**5 + 5*j**4/2 + 5*j**3/3 - 5*j**2 + 18. Factor t(d).
-5*d*(d - 2)*(d - 1)*(d + 1)
Let z be ((-102)/(-170))/((-8)/(-30)). Let y(s) be the first derivative of s - 1 + z*s**2 + 2/3*s**3. Factor y(m).
(m + 2)*(4*m + 1)/2
Let s be (-42)/(-6) - 1*3. Let -62 - f**2 + 6*f + s*f**2 - 5*f**2 + 58 = 0. What is f?
1, 2
Let v = 66 - 68. Let x be (1 + (-1 - 0))/v. Suppose x*g - 2/3*g**3 - 1/3*g**2 + 0 = 0. Calculate g.
-1/2, 0
Let w(r) be the third derivative of -1/35*r**7 - 13/30*r**5 + 0 + 0*r + 13/60*r**6 + 1/4*r**4 + 18*r**2 + 0*r**3. Factor w(y).
-2*y*(y - 3)*(y - 1)*(3*y - 1)
Let x be 100/350 - (-1 - 5/7). Let t(h) be the third derivative of -1/60*h**5 + 1/12*h**4 + 0*h**3 + 0 + 0*h + 13*h**x. Determine f, given that t(f) = 0.
0, 2
Let z be (124/(-186))/((-5)/12). Factor 4/5*j**2 - 2/5*j**3 + z + 14/5*j.
-2*(j - 4)*(j + 1)**2/5
Let o = -115682/5 + 23138. Factor -4*h**2 + 0 - 7/5*h**4 + 18/5*h**3 + 1/5*h**5 + o*h.
h*(h - 2)**3*(h - 1)/5
Let a(s) = -5*s + 75. Let y be a(15). Let z(o) be the first derivative of 0*o**3 - 1/6*o**4 + 0*o + 1/9*o**6 + y*o**2 - 5 + 0*o**5. Factor z(h).
2*h**3*(h - 1)*(h + 1)/3
Let i(g) be the second derivative of -g**5/20 - g**4 + 7*g**3/3 + 8*g**2 - g. Let u be i(-13). Solve -9/4*f + f**4 + 0*f**u - 11/4*f**2 - 1/2 = 0.
-1, -1/2, 2
Let j(t) = -t**3 + t. Let u(b) = -4*b**5 - b**4 + 14*b**3 + 26*b**2 + 14*b - 1. Let h(d) = 6*j(d) - u(d). Let z(c) be the first derivative of h(c). Factor z(s).
4*(s - 2)*(s + 1)**2*(5*s + 1)
Let k(z) be the third derivative of -z**6/24 - z**5/4 - 5*z**4/12 + 72*z**2. Factor k(q).
-5*q*(q + 1)*(q + 2)
Factor 0 - 2/3*b**3 + 104/3*b - 16*b**2.
-2*b*(b - 2)*(b + 26)/3
Suppose 0 = 3*c + 53 - 62. Find r, given that -5*r**2 + 5/2*r**c + 0 + 5/2*r = 0.
0, 1
Let y(s) be the first derivative of s**5/120 + s**4/48 - 7*s**2 - 10. Let u(m) be the second derivative of y(m). Solve u(l) = 0 for l.
-1, 0
Let p(f) be the first derivative of 4*f**3/3 + 4*f**2 - 12*f + 179. Let p(j) = 0. Calculate j.
-3, 1
Let s(a) = -a**4 + 1. Suppose 330 = -7*g + 18*g. Let m(q) = 7*q**4 + q**3 - 3*q**2 - 5*q - 8. Let h(p) = g*s(p) + 5*m(p). Factor h(l).
5*(l - 2)*(l + 1)**3
Let q be ((-9)/5)/(12/(-40)). Let b = 12 - q. Factor z**4 - 21 - 8*z**2 + b*z**2 + 22.
(z - 1)**2*(z + 1)**2
Factor -2/3*m**3 + 64/3 - 64/3*m + 20/3*m**2.
-2*(m - 4)**2*(m - 2)/3
Let j(w) = w + 1. Let o(d) = 4*d + 4. Let b(u) = -5*j(u) + o(u). Let g(y) = 3*y**2 + 12*y + 9. Let h(t) = 12*b(t) + g(t). Factor h(m).
3*(m - 1)*(m + 1)
Factor -135 - 158*x**2 + 482*x**2 + 8*x - 155*x**2 + 28*x - 166*x**2.
3*(x - 3)*(x + 15)
Let n(k) be the first derivative of 1/35*k**5 + 1/21*k**3 - 3/28*k**4 + 3/14*k**2 - 2/7*k - 8. Let n(o) = 0. What is o?
-1, 1, 2
Let w = 6017 + -18041/3. Factor -4/3*y**3 - 2/3*y**4 + 4*y + 0 + w*y**2.
-2*y*(y - 2)*(y + 1)*(y + 3)/3
Let x(t) be the third derivative of -t**9/15120 - t**8/5040 + t**7/630 + 2*t**5/15 + t**2. Let z(k) be the third derivative of x(k). Factor z(n).
-4*n*(n - 1)*(n + 2)
Let u be (1 - 1) + 4 + 150. Let i = 156 - u. Find z, given that 2/9*z**i + 8/9 + 10/9*z = 0.
-4, -1
Determine a, given that -5*a**5 - 108*a**2 - 16*a - 5*a**4 + 75*a**3 + 66*a + 3*a**2 - 10*a**2 = 0.
-5, 0, 1, 2
Factor -20*g**2 + 0*g**3 - 4*g**3 + 0*g**3.
-4*g**2*(g + 5)
Suppose -236*b + 132 = -340. Determine q so that -8/3*q + 0 + 8/3*q**3 - 4/3*q**4 + 4/3*q**b = 0.
-1, 0, 1, 2
Let g(a) = 8*a**3 - 6*a**2 - 42*a + 44. Let p(v) = v**4 + 7*v**3 - 7*v**2 - 43*v + 42. Let n(w) = -6*g(w) + 4*p(w). Factor n(h).
4*(h - 3)*(h - 2)**2*(h + 2)
Suppose c = 14 + 2. Let i = c + -16. Factor i*q + 1/4*q**4 + 0*q**3 - 1/4*q**2 + 0.
q**2*(q - 1)*(q + 1)/4
Suppose 25*p + 20 = 29*p. Suppose 0 = 4*z - 8*z - 3*x + 8, -x = -p*z + 10. Solve -8*v**2 - 24*v + 23*v**z - 15 + 3 = 0.
-2/5, 2
Let n be -16*(5 + (-205)/20). Let g = n - 84. Find f such that 2/7*f**2 + 0 + g*f + 2/7*f**3 = 0.
-1, 0
Let l be (-6 - 0/3)*8/(-12). Factor -36*r**4 - 24*r**3 - 4 - 15*r**5 - 4*r**2 - r**5 + l.
-4*r**2*(r + 1)**2*(4*r + 1)
Let z be (-8)/(-116) - (-1624)/841. Let 0*i**z + 0*i + 5/4*i**3 + 0 = 0. What is i?
0
Let w(j) be the first derivative of j**4/12 - 25*j**3/9 + 143*j**2/6 + 169*j/3 - 233. Determine x so that w(x) = 0.
-1, 13
Let o = -5250 - -36752/7. Find k, given that 0*k + 0*k**2 - o*k**3 + 0 = 0.
0
Let -3/8*a**3 + 0*a**2 + 0 + 3/2*a = 0. What is a?
-2, 0, 2
Let p(n) be the first derivative of -9*n**4/20 + 4*n**3 + 93*n**2/10 + 24*n/5 + 16. Factor p(o).
-3*(o - 8)*(o + 1)*(3*o + 1)/5
Let h(a) = -a**3 - 9*a**2 - 4. Let j be h(-9). Let r be (-2)/(j*1/38). Factor -27*q**2 - 38*q - 40*q - 3*q**3 - 81 + r*q - 22*q.
-3*(q + 3)**3
Let y = 3838/2829 - 22/943. Suppose 14*l**2 + y + 25/3*l + 3*l**3 = 0. Calculate l.
-4, -1/3
Let f(b) = 6*b**4 - b**3 - 13*b**2 + 3*b + 7. Let y(t) = 24*t**4 - 3*t**3 - 51*t**2 + 12*t + 27. Let o(q) = 9*f(q) - 2*y(q). Factor o(l).
3*(l - 1)*(l + 1)**2*(2*l - 3)
Factor 35/6 - 11/6*w**2 - 23/6*w - 1/6*w**3.
-(w - 1)*(w + 5)*(w + 7)/6
Let y be (9/4)/((-4)/(-24)). Let s(g) be the second derivative of g + y*g**4 + 0 + 12*g**3 + 4*g**2. Factor s(p).
2*(9*p + 2)**2
Let i(s) be the first derivative of s**6/15 + 2*s**5/25 - 2*s**4/5 - 8*s**3/15 + 174. Solve i(h) = 0 for h.
-2, -1, 0, 2
Determine i, given that -13*i**2 + 0*i**5 + 4*i**4 + 0*i**4 + i**3 + 841 - 20*i - 849 + i**5 - i**2 = 0.
-2, -1, 2
Let d be (-4536)/315 - (-4 - 11). Factor -3/5*b**5 + 0*b**4 + 0*b**2 - d*b + 6/5*b**3 + 0.
-3*b*(b - 1)**2*(b + 1)**2/5
Let n(o) be the first derivative of -o**6/2 + 12*o**5/5 + 15*o**4/4 - 20*o**3 - 6*o**2 + 48*o + 159. Let n(f) = 0. Calculate f.
-2, -1, 1, 2, 4
Let c(r) be the first derivative of 4/7*r**3 + 16/7*r + 34 - 16/7*r**2. Factor c(a).
4*(a - 2)*(3*a - 2)/7
Let t = 305 + -298. Let p(u) be the second derivative of 0*u**2 - 3/100*u**5 + 0*u**3 + 1/10*u**4 - 1/25*u**6 + 0 - 2*u + 1/70*u**t. Find z such that p(z) = 0.
-1, 0, 1, 2
Suppose -4*w + 5*j + 36 = 2*j, -3*j - 6 = w. Let g be (-12)/72 + 19/w. Factor 6/5*z**2 - 4/5*z + 0 - 2/5*z**4 + 0*z**g.
-2*z*(z - 1)**2*(z + 2)/5
Let g = 99 + -88. Suppose -10*x - 4 = -g*x. Determine p, given that -3/8 - 3/4*p + 0*p**2 + 3/4*p**3 + 3/8*p**x = 0.
-1, 1
Factor -174240 - 1320*j - 5/2*j**2.
-5*(j + 264)**2/2
Let w(u) be the second derivative of -5*u**4/8 + 29*u**3/48 - 3*u**2/16 + u + 73. Factor w(l).
-(3*l - 1)*(20*l - 3)/8
Let j(v) be the second derivative of v**4/30 + 4*v**3/15 + 3*v**2/5 - 43*v + 1. Factor j(i).
2*(i + 1)*(i + 3)/5
Let i = 13079 - 52307/4. Factor -1/4*p**4 + i*p**3 - 25/4*p + 0 - 15/4*p**2.
-p*(p - 5)**2*(p + 1)/4
Let y(j) be the third derivative of -2*j**5/75 + 49*j**4/180 - 4*j**3/45 - 391*j**2. Factor y(p).
-2*(p - 4)*(12*p - 1)/15
Suppose 0 = -o - 1, 0 = 5*y - 10*y - 5*o + 5. Factor -3/5*u**y - 15 - 6*u.
-3*(u + 5)**2/5
Factor -1 + 4/3*n - 1/3*n**2.
-(n - 3)*(n - 1)/3
Suppose -3*v = y - 7*v + 10, 0 = -3*y + 4*v - 6. Solve -3/4*s**3 + 0 + 3/2*s + 3/4*s**y = 0 for s.
-1, 0, 2
Let i be 5/2*(6 + (-8)/2). Let x(p) be the third derivative of 0*