t f(c) = -6*p(c) + 51*t(c). Factor f(g).
-3*g*(g + 1)
Let l(n) = -n - 3. Let f be l(-5). Let b be -17*(-9)/(-21)*(f + -3). Solve -45/7*c + 93/7*c**3 - 48/7*c**5 + b*c**2 - 24/7*c**4 - 27/7 = 0 for c.
-1, -3/4, 1
Factor 196*a**4 + 1848*a**3 + 28 + 160*a + 345*a**2 - 1449*a**2 - 28.
4*a*(a + 10)*(7*a - 2)**2
Let s be (11 - 148/(-20))/(20/6). Let r = 218/25 - s. Determine o, given that -1/5*o**5 + r*o**2 + 6/5*o**4 + 2/5 - 14/5*o**3 - 9/5*o = 0.
1, 2
Suppose 4*l + y + y = -2, 4*l - 4*y = 28. Find p such that -6*p + l - 6*p**5 + 5*p**4 + 5*p**3 - p**3 - 3*p**4 - 4*p**2 + 8*p**3 = 0.
-1, 1/3, 1
Let q be 42/9 + 9 + 290/(-30). What is f in 0 + 0*f**3 - 1/11*f**q + 2/11*f + 3/11*f**2 = 0?
-1, 0, 2
Suppose i = 5*i + 44. Let j(w) = w**3 + 12*w**2 + 10*w - 9. Let z be j(i). Factor 3*m**3 - 5*m - 8*m**4 + 14*m**2 + 15*m**3 - 20*m**z + 6 - 5*m.
-2*(m - 1)**3*(4*m + 3)
Let v(a) be the third derivative of a**6/30 + a**5/3 - 14*a**4/3 - 64*a**3/3 + 44*a**2 - 4*a. Factor v(d).
4*(d - 4)*(d + 1)*(d + 8)
Suppose 30*k - 26*k - 16 = 0. Let s be (32/21)/(2 - k/3). Let 4/7*l**3 + s*l**2 + 2*l - 2/7*l**5 + 4/7 - 4/7*l**4 = 0. Calculate l.
-1, 2
Factor 79*a**3 + 1120*a**2 + 190 + 170*a**4 + 1114*a**3 + 755*a - 463*a**3 - 5*a**5.
-5*(a - 38)*(a + 1)**4
Suppose -51/5*o**2 + 48/5 + 3/5*o**4 + 9*o - 9*o**3 = 0. What is o?
-1, 1, 16
Factor 41/5*t**2 + 7/5*t**4 - 12/5 + 32/5*t**3 + 4/5*t.
(t + 1)*(t + 2)**2*(7*t - 3)/5
Let v be (101 - 101)/(0 + 1). Factor v - 1/3*y**2 - 1/3*y + 5/3*y**3 - y**4.
-y*(y - 1)**2*(3*y + 1)/3
Let p = 444 + -440. Let x(o) be the first derivative of 9 + 3/8*o**p - 3/2*o - 3/2*o**3 + 9/4*o**2. Factor x(k).
3*(k - 1)**3/2
Let x(f) be the first derivative of -9/8*f**2 + 21 - 1/4*f**3 + 3*f. Solve x(r) = 0 for r.
-4, 1
Let p(m) be the third derivative of 7*m**5/240 - 43*m**4/48 + m**3 - 68*m**2. Suppose p(b) = 0. What is b?
2/7, 12
Let v be 2/(-8) + (-27)/(-12). Suppose -4*w - 7 = 3*m, w + v*m = -6 - 2. Determine l so that -l**3 - 5*l - 3*l**2 + 2 + 7*l**2 + 0*l**w = 0.
1, 2
Solve 47*p - 253*p**3 - 30*p**2 + 256*p**3 + 28*p = 0.
0, 5
Let a(f) = 6*f**2 + 26*f - 12. Let k(t) = -8*t**2 - 27*t + 10. Let n(s) = 5*a(s) + 4*k(s). Factor n(v).
-2*(v - 10)*(v - 1)
Determine g so that -108*g**2 - 20*g**4 - 92*g**3 + 834 - 834 - 36*g = 0.
-3, -1, -3/5, 0
Let h(p) be the second derivative of 3*p**5/5 + 83*p**4/4 + 102*p**3 + 162*p**2 - 591*p. Solve h(j) = 0.
-18, -2, -3/4
Let r(n) be the first derivative of -245*n**6/12 - 511*n**5/5 + 1093*n**4/8 + 181*n**3/3 - 37*n**2 - 20*n - 60. Find j, given that r(j) = 0.
-5, -2/7, 2/5, 1
Let g(a) = a**3 - 7*a**2 + 3*a - 5. Let y be g(5). Let h = 42 + y. Factor 2/3*m**2 - h + 4/3*m.
2*(m - 1)*(m + 3)/3
Let k be ((-18)/30)/(2/(-10)). Let b(z) = z**3 - 7*z**2. Let p be b(7). Suppose 3/5*x**k + 0*x + p + 3/5*x**2 = 0. Calculate x.
-1, 0
Let n(c) be the second derivative of 0*c**2 - c - 1/4*c**4 - 4 - 2*c**3. Let n(r) = 0. What is r?
-4, 0
Let o = 988 - 985. Find q such that -2/7*q**o - 6/7*q - 8/7*q**2 + 0 = 0.
-3, -1, 0
Let f = -10/427 - -45/61. Factor -f*t + 0 + 6/7*t**2.
t*(6*t - 5)/7
Let u(m) = m**2 - 5*m + 3. Let l be u(3). Let i = 5 + l. Factor -4 - 15*f**i - f**2 + 6*f**3 + 0*f**3 + 14*f.
2*(f - 1)**2*(3*f - 2)
Suppose 36 = -14*h + 17*h. Let j(k) = -2*k**2 - k + 1. Let l(d) = -20*d**2 - 24*d + 12. Let s(g) = h*j(g) - l(g). Factor s(u).
-4*u*(u - 3)
Solve 3*s + 7/2 - 1/2*s**2 = 0 for s.
-1, 7
Find m such that -4/5*m**3 + 18/5*m**2 + 4/5*m - 2/5*m**4 - 16/5 = 0.
-4, -1, 1, 2
Let a(s) be the third derivative of 20*s**2 + 0 + 4*s**3 - 1/15*s**5 + 1/6*s**4 + 0*s. Determine n so that a(n) = 0.
-2, 3
Let r(n) be the second derivative of -1/24*n**4 + 0 - 1/240*n**5 - 1/6*n**3 + 4*n - n**2. Let t(d) be the first derivative of r(d). Factor t(f).
-(f + 2)**2/4
Let s = -783 - -783. Let k(j) be the first derivative of 9 + 2/15*j**5 + 0*j - 1/6*j**4 + 0*j**3 + s*j**2. Let k(y) = 0. Calculate y.
0, 1
Let c = 521 + -1535/3. Let v(n) be the first derivative of 24*n**2 + 1 + 16*n - c*n**3. Determine b, given that v(b) = 0.
-2/7, 2
Let q be 2/((-1)/(4/(-416))). Let h = 3/13 + q. Factor 2 + 3/2*j**2 + 3*j + h*j**3.
(j + 2)**3/4
Let z be -5 - (60/(-105) - (-636)/(-14)). Suppose 0 = 12*p - z + 17. Factor 0 - 1/7*h**p - 2/7*h.
-h*(h + 2)/7
Suppose -4*o = 12, -6*o + 5*o = i. Let r(x) be the first derivative of 5*x**2 - 5 + 1/2*x**4 - 8/3*x**i - 4*x. Determine g, given that r(g) = 0.
1, 2
Suppose 4*p = 3*g - 22, 3*g + 0 + 2 = -2*p. Find x, given that 9*x - 7 + 27 + 3*x**g - 14 = 0.
-2, -1
Let z = -31448/55 + 6294/11. Suppose -4/5*n - 2/5*n**4 + 0*n**2 + 4/5*n**3 + z = 0. What is n?
-1, 1
Let h(x) be the second derivative of -5*x**5/7 - 10*x**4/3 - 88*x**3/21 - 16*x**2/7 + 370*x. Factor h(i).
-4*(i + 2)*(5*i + 2)**2/7
Let 90/7 - 62/7*s - 2/7*s**3 - 26/7*s**2 = 0. What is s?
-9, -5, 1
Let u(g) be the first derivative of 7 - 9/8*g**4 + 1/3*g**3 + 0*g + 0*g**2. Suppose u(w) = 0. Calculate w.
0, 2/9
What is c in -233*c**2 + c**3 + 4*c**3 + 298*c**2 = 0?
-13, 0
Suppose -5*o = -2*z - 21, 19 = -2*z + o + 18. Factor 16/7*t - 16/7 - 4/7*t**z.
-4*(t - 2)**2/7
Let o = 124979/5 + -25156. Let u = 162 + o. Factor -12/5 + u*k**2 + 12/5*k.
3*(k + 2)*(3*k - 2)/5
Suppose 0 = -118*i - 204*i + 1610. Let 2/7*c - 4/7*c**2 - 4/7*c**3 + 2/7 + 2/7*c**4 + 2/7*c**i = 0. Calculate c.
-1, 1
Let m(t) be the third derivative of -t**6/180 - 2*t**5/45 - t**4/9 - 35*t**2. Let m(i) = 0. Calculate i.
-2, 0
Let i be 243/(-3645)*((-9)/1 - 1). Factor -i*v**4 + 0*v + 4/3*v**2 + 2/3*v**3 + 0.
-2*v**2*(v - 2)*(v + 1)/3
Let n(s) be the second derivative of -1/54*s**4 + 0*s**2 + 35*s + 0 + 10/27*s**3. Factor n(f).
-2*f*(f - 10)/9
Let u = -1 - 6. Let q be 6/u - (-10)/(15/3). Factor q + 0*a - 6/7*a**2 + 2/7*a**3.
2*(a - 2)**2*(a + 1)/7
Factor 7/3*k + 2 + 1/3*k**2.
(k + 1)*(k + 6)/3
Let f be ((-3)/(-6))/(2/16). Factor 1 + 9 - 5*x - f*x**2 - x**2.
-5*(x - 1)*(x + 2)
Let m(s) be the first derivative of -2*s**6/15 - 32*s**5/25 - 6*s**4/5 + 32*s**3/3 - 10*s**2 + 513. Find t such that m(t) = 0.
-5, 0, 1
Let x(n) be the second derivative of n**6/345 + n**5/10 + 33*n**4/23 + 252*n**3/23 + 1080*n**2/23 + n + 43. Factor x(v).
2*(v + 5)*(v + 6)**3/23
Let r(l) be the third derivative of -5*l**8/2016 - 2*l**7/63 - l**6/8 - 2*l**5/9 - 25*l**4/144 - 78*l**2. What is z in r(z) = 0?
-5, -1, 0
Suppose i = 5*m - 42, 2*i - 52 = -4*m - 206. Let v = -65 - i. Factor 6/11 - 2/11*d**v - 4/11*d.
-2*(d - 1)*(d + 3)/11
Let o = 45764/3 + -15254. Factor o*i**4 + 196*i**2 + 4802/3 - 56/3*i**3 - 2744/3*i.
2*(i - 7)**4/3
Suppose 2/7*a**2 + 0 - 30*a = 0. What is a?
0, 105
Let a(b) = 2*b**3 - 6*b**2 + 7*b - 1. Let h be a(4). Suppose 5*q - 87 = 3*f, -5*f + h = -4*q + 7*q. What is n in -16*n + 1 + q*n + n**2 + 1 - 5 = 0?
-3, 1
Let c(f) = 5*f**4 + 28*f**3 - 115*f**2 - 6. Let r(u) = u**4 + u**3 + u**2 - 1. Let w(y) = -5*c(y) + 30*r(y). Determine z, given that w(z) = 0.
0, 11
Let l(x) = -x**2 + 2*x + 11. Let o be l(4). Factor 4*p**2 + 181*p**3 + 181*p**3 - 358*p**o.
4*p**2*(p + 1)
Let d(b) be the third derivative of -31*b**2 - 3/70*b**7 + 0*b**3 + 0*b - 1/4*b**4 + 0 + 1/40*b**6 + 1/112*b**8 + 3/20*b**5. What is x in d(x) = 0?
-1, 0, 1, 2
Let r(p) be the third derivative of -21*p**2 + 1/70*p**7 + 1/8*p**4 + 0*p - 1/40*p**6 - 1/20*p**5 + 0 + 0*p**3. Factor r(q).
3*q*(q - 1)**2*(q + 1)
Factor -17*o**2 + 19*o - 234 + 467 - 235.
-(o - 1)*(17*o - 2)
Determine s, given that 0 - 2/3*s**2 - 46*s = 0.
-69, 0
Let c(a) be the third derivative of a**8/1176 - 4*a**7/735 - 3*a**6/70 + 18*a**5/35 - 45*a**4/28 - 38*a**2 + 1. Factor c(u).
2*u*(u - 3)**3*(u + 5)/7
Factor -32/3 + 52/3*o**3 + 68/3*o**2 - 88/3*o.
4*(o - 1)*(o + 2)*(13*o + 4)/3
Let f(y) be the third derivative of -1183*y**6/600 + 13*y**5/25 + 3*y**4/8 + y**3/15 - 2*y**2 + 2. Factor f(a).
-(7*a - 2)*(13*a + 1)**2/5
Find x such that 4/5*x**3 + 2/5*x - 7/5*x**2 + 1/5 = 0.
-1/4, 1
Factor -52*u + 106*u + 20*u**4 - 24*u**3 + 60*u**2 - 2*u**5 - 204*u**2 - 54*u.
-2*u**2*(u - 6)**2*(u + 2)
Let j be (4 + -5)*398*1. Let u be (j/(-4))/((-2)/(-4)). Factor n**4 - n**2 + u - 199.
n**2*(n - 1)*(n + 1)
Let d = -4 + 7. Suppose -2*i = -0*i + d*j - 8, -5*i + 20 = 5*j. Solve -i*f + 3*f - f + f**2 = 0 for f.
0, 2
Suppose 5*f + 2 = 42. Determine u so that -145*u**2 + 50*u**3 - 5*u**5 - 18 - f + 75*u + 45*