actor -30*y**2 + 16*y + s*y**3 - 2*y**2 + 0*y**2.
4*y*(y - 2)*(3*y - 2)
Solve -40/17 + 32/17*s - 2/17*s**2 - 2/17*s**3 = 0 for s.
-5, 2
Let r(f) = -2*f**2 - 9*f + 4. Let t be r(-4). Factor -16*i + 2*i**4 + 20*i**3 - 20 - t*i**4 - 8*i**2 + 20.
-2*i*(i - 2)**2*(3*i + 2)
Solve -71*u + 123*u - 80*u - 40 + 6*u**2 - 10*u**2 = 0 for u.
-5, -2
Let o(q) be the second derivative of q**6/15 - q**5/10 - q**4/2 + q**3/3 + 2*q**2 - 67*q. Factor o(s).
2*(s - 2)*(s - 1)*(s + 1)**2
Let b(j) = j**2 - 5. Let y be b(0). Let s be 4/14 + ((-1095)/231 - y). Find a, given that 0 - 4/11*a - s*a**2 - 2/11*a**3 = 0.
-2, -1, 0
Suppose 0 = 4*g - 21 + 1. Factor 2*k**3 + k - k**4 + k**2 - 15*k**5 - g*k**3 + k + 16*k**5.
k*(k - 2)*(k - 1)*(k + 1)**2
Let m(o) = 8*o**4 + 12*o**2 - 16*o - 9. Let g(a) = a**4 + a**2 - 2*a - 1. Let n(s) = 36*g(s) - 4*m(s). Solve n(p) = 0.
-1, 0, 2
Let g(o) be the second derivative of o**5/120 - 7*o**4/72 - 11*o**3/9 - 47*o. Find j such that g(j) = 0.
-4, 0, 11
Suppose -5/3*f**3 - 5/3*f**2 + 2/3 + 2/3*f**5 + f + f**4 = 0. What is f?
-2, -1, -1/2, 1
Factor -1/2*b**2 + 5/4 - 1/8*b**3 + 7/8*b.
-(b - 2)*(b + 1)*(b + 5)/8
Let q(o) be the second derivative of -o**4/18 + o**3 - 20*o**2/3 - 14*o. Factor q(k).
-2*(k - 5)*(k - 4)/3
Let n(r) be the second derivative of r**7/7 + 11*r**6/30 - 21*r**5/20 + r**4/12 + r**3/2 - 2*r. Solve n(t) = 0 for t.
-3, -1/3, 0, 1/2, 1
Let w(f) = -f**2 + 6*f - 5. Let o be w(4). Let u = -46 - -52. Factor -628*v**2 - 4 - 2*v**o + u*v + 628*v**2.
-2*(v - 1)**2*(v + 2)
Let t(q) be the third derivative of -q**5/3 - 3*q**4 - 32*q**3/3 + 30*q**2 + q. Determine f so that t(f) = 0.
-2, -8/5
Let w(q) be the first derivative of q**3 - 498*q**2 + 82668*q + 276. Factor w(y).
3*(y - 166)**2
Find g, given that g**2 + 0 + 9*g - 7/4*g**3 = 0.
-2, 0, 18/7
Let b(h) = -3*h**3 + h**2 - 2*h - 2. Let r be b(-1). Determine t so that r*t**2 - 14*t + 10*t + 0 + 12 - 12*t = 0.
1, 3
Let l(c) be the third derivative of -1/392*c**8 - 1/735*c**7 + 0*c + 0*c**4 + 0*c**3 + 0*c**5 + 1/210*c**6 + 0 - 15*c**2. Suppose l(u) = 0. What is u?
-1, 0, 2/3
Let l be (0*3/(-9))/(-2). Let q = l - -3. What is m in -3*m**4 - 6*m + m**2 + 7*m**3 - q*m**5 + 2*m**3 + 2*m**2 = 0?
-2, -1, 0, 1
Let v(z) be the second derivative of z**6/120 + z**5/80 - 7*z**4/48 - 13*z**3/24 - 3*z**2/4 + z + 372. Factor v(q).
(q - 3)*(q + 1)**2*(q + 2)/4
Let g be (-2 - 7/(-2)) + (-5)/(-10). Let -24*b - 1 - 3*b**3 + 27*b - 2 + 3*b**g = 0. What is b?
-1, 1
Let m(i) be the third derivative of -i**5/360 - 11*i**4/144 - 2*i**3/3 + 5*i**2 + 8. Determine k so that m(k) = 0.
-8, -3
Let p(g) = -34*g - 166. Let a be p(-5). Let n(t) be the second derivative of -t + 4*t**3 + 1/15*t**6 - 2/5*t**5 + 9*t**2 - 1/3*t**a + 0. Factor n(c).
2*(c - 3)**2*(c + 1)**2
Let l(q) be the third derivative of q**5/12 - 11*q**4/24 + q**3/3 - 106*q**2. Factor l(s).
(s - 2)*(5*s - 1)
Let x(r) be the second derivative of -r**5/10 - r**4/3 - r**3/3 - 187*r. Suppose x(k) = 0. Calculate k.
-1, 0
Factor 4/3*v**4 - 16/3*v**3 + 16*v + 12 - 8/3*v**2.
4*(v - 3)**2*(v + 1)**2/3
Factor -102/23*l**3 - 290/23*l - 294/23*l**2 - 96/23 - 2/23*l**4.
-2*(l + 1)**3*(l + 48)/23
Let g be 1/(-6) - 35/(-210). Let u(w) be the first derivative of 1/9*w**3 - 1/15*w**5 + 0*w + 0*w**4 + 2 + g*w**2. Factor u(z).
-z**2*(z - 1)*(z + 1)/3
Let c = 2047 - 6139/3. What is r in -c - 1/3*r**3 + 2/3*r**2 + 1/3*r = 0?
-1, 1, 2
Let m be (21 + 1887/(-85))/((-7)/5). Factor -4/7 - 2/7*l**2 + m*l.
-2*(l - 2)*(l - 1)/7
Let w(k) be the first derivative of -k**6/6 + 7*k**5/5 - 19*k**4/4 + 25*k**3/3 - 8*k**2 + 4*k + 118. Factor w(x).
-(x - 2)**2*(x - 1)**3
Let z be (-3163)/(-13)*(0 - (8 - 7)). Let t = -243 - z. Suppose -14/13*r**3 + t*r + 0 - 10/13*r**2 = 0. Calculate r.
-1, 0, 2/7
Let q(i) = -i**4 + 6*i**3 - 3*i**2 - 8*i + 6. Let x(h) = -5*h**3 - 2*h**2 - 2 + h**4 + 7*h - 3 + 4*h**2. Let u(b) = -5*q(b) - 6*x(b). Solve u(d) = 0.
-2, 0, 1
Let a(j) be the first derivative of 2*j**5/3 - 17*j**4 + 30*j**3 - 38*j**2/3 - 88. Solve a(z) = 0.
0, 2/5, 1, 19
Let c(n) be the first derivative of -n**5/5 + 3*n**4 - 11*n**3/3 + 165. Factor c(w).
-w**2*(w - 11)*(w - 1)
Let l(m) be the first derivative of -4/9*m**3 + 0*m + 4/15*m**5 - 3 + 1/9*m**6 + 0*m**4 - 1/3*m**2. Factor l(s).
2*s*(s - 1)*(s + 1)**3/3
Let z(p) = p**2 - 20*p + 14. Let w be z(16). Let s = w - -52. Find f such that -8/3*f + s + 2/3*f**2 = 0.
1, 3
Let f(p) = 2*p**3 + 2*p - 2. Let s be f(1). Let 3*j - 9/4*j**s + 3 = 0. What is j?
-2/3, 2
Factor -4/3 - 1/3*y**2 + 5/3*y.
-(y - 4)*(y - 1)/3
Let c(f) be the second derivative of -f**7/294 - 2*f**6/21 + f**5/140 + 5*f**4/21 - 2*f - 54. Let c(o) = 0. Calculate o.
-20, -1, 0, 1
Factor 0 + 0*p - 2/7*p**5 + 18/7*p**4 + 0*p**2 - 4*p**3.
-2*p**3*(p - 7)*(p - 2)/7
Let k(q) be the third derivative of -q**5/20 + 9*q**4/8 - 10*q**3 + 19*q**2 + 2. Factor k(t).
-3*(t - 5)*(t - 4)
What is t in 10/9*t**2 + 50/9*t**3 - 52/9*t + 22/9*t**4 + 2/9*t**5 - 32/9 = 0?
-8, -2, -1, 1
Suppose -2*m = 4*h - 186, -2*h = -h + 5*m - 42. Factor -5*t**2 + t**2 - 97 - h + 48*t.
-4*(t - 6)**2
What is g in -515*g + 375*g + 128*g**2 + 3*g**3 - 4*g**3 + 5*g**3 - 264 = 0?
-33, -1, 2
Let j(p) be the third derivative of 125/12*p**3 - 5*p**2 + 1/8*p**5 + 0*p + 25/16*p**4 + 0 + 1/240*p**6. Factor j(x).
(x + 5)**3/2
Let u(o) = 6*o - 16. Let t be u(4). Factor -10*c**3 - 5*c**2 - 5*c**4 + t + 2*c**3 - 7*c**3 + 15*c + 2.
-5*(c - 1)*(c + 1)**2*(c + 2)
Let j(t) be the third derivative of 0*t + 17*t**2 + 0*t**3 + 0 + 7/240*t**5 + 1/48*t**4. Determine p, given that j(p) = 0.
-2/7, 0
Let h(b) = 49*b**2 + 4894*b + 393643. Let t(d) = 17*d**2 + 1632*d + 131214. Let w(o) = 6*h(o) - 17*t(o). Let w(y) = 0. Calculate y.
-162
Let t(u) = -64*u**2 - 152*u + 132. Let z(n) = n**3 + 2*n**2 - 3*n + 1. Let i(h) = t(h) - 12*z(h). Factor i(g).
-4*(g + 3)*(g + 5)*(3*g - 2)
Suppose 2*n = -92 - 188. Let f be (1*(-12)/n)/(1/5). Factor 0*s**2 + 6/7*s**3 - f*s**4 + 3/7 - 6/7*s.
-3*(s - 1)**3*(s + 1)/7
Suppose -21 = -4*x - 13. Suppose 5*o = -j + 11, 7*o - x*j = 2*o + 23. Solve 0*u + 3/4*u**2 - 3/4*u**o + 0 = 0 for u.
0, 1
Let t(v) be the third derivative of -v**5/12 - 55*v**4/12 + 115*v**3/6 - 5*v**2 - 3*v. Factor t(g).
-5*(g - 1)*(g + 23)
Let y(r) be the first derivative of -r**3/3 - 2*r**2 - 3*r - 5. Determine g so that y(g) = 0.
-3, -1
Let k(n) be the second derivative of -n + 5/2*n**2 - 5/12*n**4 - 3/4*n**5 + 0 + 5/2*n**3. Factor k(p).
-5*(p - 1)*(p + 1)*(3*p + 1)
Suppose 4*x + 2*a - 14 = a, -a = -2. Find d, given that 0 + 4*d - 3*d**x + 7*d**3 - 8*d - 8 + 8*d**2 = 0.
-2, -1, 1
Suppose -78*n = -73*n. Let t(z) be the third derivative of 0*z**3 - 11*z**2 - 1/45*z**5 - 1/315*z**7 + 0*z + n + 1/60*z**6 + 0*z**4. Find h such that t(h) = 0.
0, 1, 2
Let y(b) be the second derivative of -b**4/6 + 6*b**3 + 40*b**2 + 314*b. Factor y(j).
-2*(j - 20)*(j + 2)
Let p(y) = -y**3 + 161*y**2 - 575*y - 737. Let v(t) = -16*t - 107*t**2 + t**3 + 188*t + 116*t + 95*t + 491. Let k(a) = -5*p(a) - 8*v(a). Solve k(l) = 0.
-1, 9
Suppose 85 - 397 = -156*o. Factor -12/13*w + 10/13 + 2/13*w**o.
2*(w - 5)*(w - 1)/13
Let l(x) be the second derivative of -x**6/30 + x**5/12 - x**4/18 - 160*x - 1. Factor l(j).
-j**2*(j - 1)*(3*j - 2)/3
Let u be (-6)/(-10) + (-9)/90. Let v(t) be the second derivative of 0*t**2 + 0 - u*t**3 + 2*t + 1/8*t**4 + 3/40*t**5. Let v(b) = 0. Calculate b.
-2, 0, 1
Let p(k) = -k**3 - 2*k**2 + k - 1. Let a(j) = 3*j**3 + 24*j**2 + 11*j + 5. Let h(d) = -a(d) - 5*p(d). Factor h(f).
2*f*(f - 8)*(f + 1)
Suppose 49 = -0*y + 7*y. Factor -4*s**2 + y*s**4 + s**4 - 7*s**4 + 3*s**4.
4*s**2*(s - 1)*(s + 1)
Let i(a) = -a**3 - 3*a**2. Let m be i(-3). Let y be (-537 + 537)*(2/5)/2. Suppose y*u - 1/6*u**5 + 1/6*u**2 + 1/6*u**3 + m - 1/6*u**4 = 0. What is u?
-1, 0, 1
Let z(d) be the second derivative of d**4/18 + 2*d**3/3 + 8*d**2/3 + 96*d. Factor z(w).
2*(w + 2)*(w + 4)/3
Factor 364/3*g**3 + 784/3*g**2 + 64/3*g + 64/3*g**4 - 1280/3 + 4/3*g**5.
4*(g - 1)*(g + 4)**3*(g + 5)/3
Factor -51*v - 25*v + 12*v**2 + 72 + 14*v**2 + 14*v**2 - 36*v**2.
4*(v - 18)*(v - 1)
Solve -1/6*l**2 - 3/2 + 5/3*l = 0 for l.
1, 9
Let h(a) be the second derivative of 2*a**6/45 - 3*a**5/5 + 2*a**4/9 + 56*a**3/3 + 48*a**2 + 81*a. Factor h(b).
4*(b - 6)**2*(b + 1)*(b + 2)/3
Let n be (0/(-5))/(1*3). Factor 4*t