7/5 - 665. Factor -p*d**3 + 6/5*d - 4/5 + 0*d**2.
-2*(d - 1)**2*(d + 2)/5
Let q(t) = -43555*t**3 - 48995*t**2 - 18325*t - 2330. Let o(r) = -2562*r**3 - 2882*r**2 - 1078*r - 137. Let j(v) = 35*o(v) - 2*q(v). Solve j(y) = 0 for y.
-3/8
Let x be (-1)/(-2*(-1)/(-4)). Let g(q) be the third derivative of -x*q**2 + 0*q + 1/120*q**6 + 0*q**5 + 0 - 1/3*q**3 - 1/8*q**4. Find h such that g(h) = 0.
-1, 2
Suppose -21/4*b**4 + 6*b**2 - 3/4 - 3/4*b**3 + 21/8*b - 15/8*b**5 = 0. What is b?
-2, -1, 1/5, 1
Let y = 0 - -5. Suppose -o**2 - 7*o**2 - y*o**2 + 4*o**2 - 3*o**4 + 9*o**3 + 3*o = 0. What is o?
0, 1
Let g be (-5)/(20/8)*-1. Let v be -1 - (g - 1)*-1. Let 0*b + 1/5*b**4 + v*b**2 + 0 - 1/5*b**3 = 0. What is b?
0, 1
Let a(d) be the third derivative of d**6/150 - 13*d**5/150 + d**4/12 + 2*d**3/5 + 27*d**2. Factor a(w).
2*(w - 6)*(w - 1)*(2*w + 1)/5
Let m(a) be the third derivative of a**7/8820 + a**6/2520 - a**5/210 - a**4/24 - 2*a**2. Let z(f) be the second derivative of m(f). Factor z(g).
2*(g - 1)*(g + 2)/7
Let v(h) be the first derivative of 9*h**4/10 - 2*h**3/5 - 8*h**2/5 + 8*h/5 - 17. Factor v(a).
2*(a + 1)*(3*a - 2)**2/5
Let h(t) be the second derivative of -t**4/6 - 2*t**3/3 + 3*t**2 - 4*t. Determine u, given that h(u) = 0.
-3, 1
Determine g so that 2/3*g + 4/7 + 2/21*g**2 = 0.
-6, -1
What is q in -1/3*q**4 + 2/3*q**2 - 1/3*q**5 - 1/3*q + 2/3*q**3 - 1/3 = 0?
-1, 1
Factor 0*f**4 - 4/7*f**2 + 6/7*f**3 + 0*f + 0 - 2/7*f**5.
-2*f**2*(f - 1)**2*(f + 2)/7
Suppose 26 = 32*t - 19*t. Let d(g) be the first derivative of -g + 3/4*g**t + 3/10*g**5 + 3 + 1/2*g**3 - 7/8*g**4. Solve d(l) = 0.
-2/3, 1
Let g(p) = p**2 - 4*p. Let q be g(4). Suppose 2*o - t - 4*t = 24, q = -3*o + 2*t + 14. Factor 3*b + 4*b**2 + 0*b - o*b**2 - b.
2*b*(b + 1)
Let i(u) be the first derivative of 3*u**5/20 - 3*u**4/2 + 6*u**3 - 12*u**2 - u - 2. Let z(n) be the first derivative of i(n). What is p in z(p) = 0?
2
Let v(q) be the first derivative of -4*q**3/15 + 4*q**2/5 - 21. Factor v(o).
-4*o*(o - 2)/5
Let u = 19/82 + 3/164. Factor 0*l**2 - 1/4*l**5 - u*l**3 + 0 + 0*l - 1/2*l**4.
-l**3*(l + 1)**2/4
Suppose -3*w = -47 - 7. Let z be 20/(-90) - (-40)/w. Factor -1/3*c**z + 0*c + 1/3.
-(c - 1)*(c + 1)/3
Let c = 15 - 11. Factor c - 5*s**2 + s**2 - 2*s + 2*s.
-4*(s - 1)*(s + 1)
Let x be 224/318 - 2/3. Let g = x + 100/159. Factor -2/3*q**3 + 2/3*q**4 + 0*q + 0 + 2/3*q**5 - g*q**2.
2*q**2*(q - 1)*(q + 1)**2/3
Factor -1/4*g**3 + 1/2*g**2 + 1 + 7/4*g.
-(g - 4)*(g + 1)**2/4
Determine u so that 9*u**4 + 6*u - 5*u**5 + 2*u**5 - 11*u**2 - 3*u**3 + 2*u**2 = 0.
-1, 0, 1, 2
Let o(w) = w - 3. Let g be o(0). Let a = 2 - g. Let -2*b**3 + b**3 - 3*b + a*b - b**3 = 0. What is b?
-1, 0, 1
Let p(k) be the third derivative of -k**5/360 + k**4/24 - 5*k**3/36 + 24*k**2. Solve p(x) = 0.
1, 5
Suppose 2*m + 3*m - 7 = z, -4*z + 10 = -m. Let p(q) be the first derivative of -q + 3/2*q**m - 1 - q**3 + 1/4*q**4. Factor p(f).
(f - 1)**3
Let y be -1 + -2 - 2056/(-32). Let g = y - 61. Factor -1/4*r**2 - 1/2*r - g.
-(r + 1)**2/4
Let i(c) be the first derivative of -1/7*c**2 - 2/21*c**3 + 1/14*c**4 + 1 + 2/7*c. Solve i(u) = 0.
-1, 1
Let k be ((-1)/(-14)*3)/(15/200). Factor -10/7*y - k*y**3 - 2/7 - 2/7*y**5 - 10/7*y**4 - 20/7*y**2.
-2*(y + 1)**5/7
Let a(g) = 5*g**2 + 3*g - 8. Let c(f) = f**2 - 1. Let s(q) = -a(q) + 6*c(q). Factor s(u).
(u - 2)*(u - 1)
Let q(l) be the second derivative of 2*l**6/15 + 2*l**5/5 + l**4/3 - 3*l. Factor q(o).
4*o**2*(o + 1)**2
Find t, given that -12 + 0*t**3 - 108/5*t + 3/5*t**4 - 51/5*t**2 = 0.
-2, -1, 5
Let r(i) = 8*i**5 + 35*i**3 - 17*i**2 - 9*i + 17. Let p(q) = 3*q**5 + 12*q**3 - 6*q**2 - 3*q + 6. Let l = 21 + -4. Let a(d) = l*p(d) - 6*r(d). Factor a(b).
3*b*(b - 1)**2*(b + 1)**2
Let v = 4 + -3. Let c be v/4 + (-14)/(-8). Factor -c*g**2 - 2 + 0*g**2 + 0*g**2 - 4*g.
-2*(g + 1)**2
Let m(s) be the third derivative of -s**8/224 + s**7/60 - s**6/80 - s**5/40 + s**4/24 + 4*s**2. Find q such that m(q) = 0.
-2/3, 0, 1
Find p, given that 0 + 1/3*p + 4/3*p**2 + 4/3*p**3 = 0.
-1/2, 0
Factor 0 + 7*j**2 + 2*j + 13/4*j**4 + 15/2*j**3 + 1/2*j**5.
j*(j + 2)**3*(2*j + 1)/4
What is q in 0 + 4/3*q + q**2 - 1/3*q**3 = 0?
-1, 0, 4
Let y(x) = -x. Let j be y(5). Let l be j/15 + 2/6. Let 2*o**2 + o + l*o - o**2 = 0. What is o?
-1, 0
Let d(i) be the second derivative of -2/3*i**3 - 3/10*i**5 + 0 + 0*i**2 - 7/6*i**4 - 3*i. Solve d(k) = 0 for k.
-2, -1/3, 0
Let c(i) be the first derivative of -i**4/4 + 5*i**3/3 - 4*i**2 + 4*i + 14. Factor c(g).
-(g - 2)**2*(g - 1)
Let f(z) be the first derivative of -2*z**3/15 + 2*z/5 - 5. What is l in f(l) = 0?
-1, 1
Let n(s) be the first derivative of 2*s**5/5 + s**4/2 - 2*s**3 - 5*s**2 - 4*s + 3. Factor n(r).
2*(r - 2)*(r + 1)**3
Let x = 262 + 679. Let g = 4727/5 - x. Find b such that -32/5*b**2 - 14/5*b**3 - 4/5 - g*b = 0.
-1, -2/7
Determine s, given that 1/3*s**5 + 0*s + s**3 - s**4 + 0 - 1/3*s**2 = 0.
0, 1
Factor 3 + 9*s**2 + 4*s**3 - 13*s - 7*s**3 + 4*s.
-3*(s - 1)**3
Suppose 0 = -3*t + 2 - 11. Let d be 1 + ((-11)/3 - t). Factor -4/3*n**4 + d*n**5 + 0 + 2*n**3 + 1/3*n - 4/3*n**2.
n*(n - 1)**4/3
Let s(v) = -2*v**2 - 9*v + 7. Let f be s(-5). Factor 0 - 3/2*t**3 + 0*t + t**f.
-t**2*(3*t - 2)/2
Factor -3 + 3*j**5 + 14 + 3*j**4 - 11.
3*j**4*(j + 1)
Factor 4*w**4 - 6*w**2 + 9*w**4 - 44*w**3 + 9*w - 3 - 4*w**4 - 3*w**5 + 38*w**3.
-3*(w - 1)**4*(w + 1)
Suppose -8 = -3*x + 1. Suppose 2 = -y - 2*u - 2*u, x = -y - 5*u. Factor 3*r**4 + y*r**3 - r - 2*r**4 + 3*r**2 - 5*r**3.
r*(r - 1)**3
Suppose 2 = -g + 9. Let q = 2 + g. Factor -3*y**2 + 4*y + q*y**2 + 0*y + 2*y**3.
2*y*(y + 1)*(y + 2)
Suppose -3*r = 3*b - 18, -2*r + 14 = -3*b + 3*r. Suppose -6 - 4*c + 7*c + 3*c**b + 0*c = 0. What is c?
-2, 1
Suppose 13*i = 26*i - 78. Determine z so that 9/2*z + 3/2*z**3 - i*z**2 + 0 = 0.
0, 1, 3
Suppose -4*u + 5*u = 2. Factor -u*w**5 + 2 - 2 + 2*w**3.
-2*w**3*(w - 1)*(w + 1)
Let b(q) = -47*q**2 - 3*q - 1. Let v be b(-1). Let z = v - -137/3. Factor 2/3*m**4 - z*m**2 + 0*m**3 + 0*m + 0.
2*m**2*(m - 1)*(m + 1)/3
Solve -2/7*v**3 + 0*v**2 + 0 + 2/7*v = 0.
-1, 0, 1
Let s(v) be the first derivative of -4*v**5/5 + 20*v**3/3 - 16*v - 22. What is g in s(g) = 0?
-2, -1, 1, 2
Let p(k) = k**2 - 6*k - 5. Let f be p(7). Suppose -2*s = f*s - 12. Factor -2*x**s + 24/7*x**2 - 4/7 - 6/7*x.
-2*(x - 1)**2*(7*x + 2)/7
Let w be (6/(-15))/((-1)/(-10)). Let x be w/5*1/(-4). Factor -1/5 + 2/5*u - x*u**2.
-(u - 1)**2/5
Let b(n) = -n**3 + 10*n**2 - 9*n. Let p be b(9). Let t(x) be the first derivative of 1/6*x**3 - 1/2*x - 1 + p*x**2. Factor t(y).
(y - 1)*(y + 1)/2
Let g = 206 + -1440/7. Suppose 0 - 10/7*a**3 - 2/7*a**2 + 6/7*a**5 + 4/7*a + g*a**4 = 0. Calculate a.
-1, 0, 2/3, 1
Let m(h) be the first derivative of 0*h**5 + 0*h**2 - 1/2*h**6 + 3/4*h**4 + 0*h**3 + 0*h + 3. Let m(y) = 0. Calculate y.
-1, 0, 1
What is u in 1/6*u**3 + 0*u - 1/6*u**5 + 0 - 1/6*u**2 + 1/6*u**4 = 0?
-1, 0, 1
Let l(v) = -2*v**2 - 2*v + 1. Suppose 5*c - 10 = -r, 4*c + 6 = 4*r - 10. Let s(f) = -f**2 - f + 1. Let z(n) = c*l(n) - 3*s(n). Find g, given that z(g) = 0.
-2, 1
Let y = -2426 - -26786/11. What is w in -80/11*w**2 - y*w**3 - 4/11 - 30/11*w - 14/11*w**5 - 60/11*w**4 = 0?
-1, -2/7
Let d(x) be the third derivative of -x**7/315 + x**6/240 + x**5/360 + 6*x**2. Factor d(t).
-t**2*(t - 1)*(4*t + 1)/6
Let p(k) be the second derivative of 3*k**6/2 - 3*k**5/2 - 25*k**4/12 + 5*k**3/3 - 17*k. Determine f so that p(f) = 0.
-2/3, 0, 1/3, 1
Let c(j) be the second derivative of j**5/5 - j**4/3 - 10*j**3/3 - 6*j**2 + 2*j + 2. Suppose c(i) = 0. What is i?
-1, 3
Suppose 12/11*p - 18/11 - 2/11*p**2 = 0. Calculate p.
3
Let l(f) = f**4 - f**2 + f. Let j(w) be the first derivative of 3*w**2/2 - 6. Let h(p) = -j(p) + 3*l(p). Determine g so that h(g) = 0.
-1, 0, 1
What is n in -1/6*n**4 - 1/6*n**2 + 1/3*n**3 + 0*n + 0 = 0?
0, 1
Let y(o) be the first derivative of o**7/840 + o**6/360 - o**5/120 - o**4/24 - o**3 + 4. Let k(h) be the third derivative of y(h). Find c such that k(c) = 0.
-1, 1
Let i(n) = -5*n**2 + 20*n + 22. Let q(f) = 35*f**2 - 140*f - 155. Let d(j) = 20*i(j) + 3*q(j). Factor d(w).
5*(w - 5)*(w + 1)
Let l = 11/58 - 2/87. Let r(d) be the first derivative of -l*d**6 + 2 - 1/2*d**4 + 3/2*d**2 - 2/3*d**3 - d + 3/5*d**5. Factor r(v).
-(v - 1)**4*(v + 1)
Let o(p) be the third de