*3 - 2*v**5 - 10/3*v**4 + 0 = 0. What is v?
-1, -2/3, 0, 1
Let b(z) = -z**3 + 8*z**2 - 8*z - 4. Let y be b(6). Let x be 2/((12/(-9))/(-2)). Determine o, given that 5 - 5 - 3*o - 17*o**x + y*o**3 = 0.
-1, 0, 1
Determine v, given that 12*v**2 + 801*v + 9*v**2 - 795*v = 0.
-2/7, 0
Let p(g) be the first derivative of 49*g**4/4 - 28*g**3/3 + 2*g**2 + 16. Let p(u) = 0. Calculate u.
0, 2/7
Let i = 76 - 76. Let s(o) be the third derivative of 0 + o**2 - 1/315*o**7 + i*o**4 - 1/1008*o**8 + 0*o**5 + 0*o - 1/360*o**6 + 0*o**3. Factor s(b).
-b**3*(b + 1)**2/3
Factor -12*i**2 + 9/2*i**4 + 0*i + 0 + 69/2*i**3.
3*i**2*(i + 8)*(3*i - 1)/2
Find n such that -5*n**2 + 6*n**4 - 4*n**2 - 8*n**3 - 2*n**4 + 13*n**2 = 0.
0, 1
Find j, given that -2/3*j**5 + 10/3*j**3 - 80/3*j + 32/3 + 50/3*j**2 - 10/3*j**4 = 0.
-4, 1
Let m(c) be the third derivative of 3*c**2 + 1/6*c**3 - 1/6*c**4 + 0*c + 1/10*c**5 + 0 + 1/210*c**7 - 1/30*c**6. Let m(h) = 0. What is h?
1
Let v be (-2)/(4*(-5)/30). Factor n**v + 0 + n**2 + 0*n + 1/4*n**4.
n**2*(n + 2)**2/4
Let p = -27 - -27. Let f(d) be the first derivative of -2/3*d**3 + d + 1/5*d**5 + 3 + 0*d**2 + p*d**4. Let f(v) = 0. Calculate v.
-1, 1
Let y(l) = l**3 + l**2 + l. Let o be y(0). Factor 0 + o*b - 1/5*b**2.
-b**2/5
Let q(v) be the first derivative of v**3/12 + v**2/8 - v/2 + 5. Solve q(s) = 0 for s.
-2, 1
Let a(f) be the second derivative of -f**5/10 - 7*f**4/6 - 5*f**3 - 9*f**2 + f. Factor a(b).
-2*(b + 1)*(b + 3)**2
Let c(u) be the third derivative of u**7/1155 + u**6/165 + u**5/55 + u**4/33 + u**3/33 - 12*u**2. Factor c(q).
2*(q + 1)**4/11
Let q(j) be the second derivative of 0 - 1/80*j**5 + 0*j**2 + 2*j - 1/48*j**4 + 1/24*j**3 + 1/120*j**6. Determine d, given that q(d) = 0.
-1, 0, 1
Suppose -3*f = -7*f - 4. Let n be (f + 2)*3 + 0. Determine c, given that -5 - 6*c**2 + 1 + 2 - 2*c**n - 6*c = 0.
-1
Factor -148*s - 6*s**3 + s**3 + 153*s.
-5*s*(s - 1)*(s + 1)
Let s(c) be the first derivative of 1/2*c**4 + 2/15*c**5 + 5 - 4/3*c - c**2 + 2/9*c**3. Factor s(z).
2*(z - 1)*(z + 1)**2*(z + 2)/3
Let b = 9 + -2. Suppose -b*o - 10 = -12*o. Let 0*t**4 - 1/2*t**3 + 1/4*t + 1/4*t**5 + 0*t**o + 0 = 0. What is t?
-1, 0, 1
Let k = -6 + 10. Suppose -3*d + 3*x + 15 = 0, -5*d - 3*x = -k*x - 9. Factor 0 - d + 4*r - 1 - 2*r**2.
-2*(r - 1)**2
Solve -34 + 312*f**2 + 65 + 448*f + 4*f**4 + 64*f**3 + 165 = 0 for f.
-7, -1
Let i(z) = -11*z + 115. Let v be i(10). Suppose 0*d + 0 - 12/5*d**2 - 69/5*d**4 - 21/5*d**v - 12*d**3 = 0. What is d?
-2, -1, -2/7, 0
Let f = -9 + 15. Suppose -5*d + 25 = -4*o, -4*o = -3*d + 9 + f. Factor -l**5 + 1 + d*l - 3*l**4 + 2*l**3 + 2*l**2 - 4*l**3 - 2*l.
-(l - 1)*(l + 1)**4
Let x be 1/1 + 2 + -3. Suppose c = 7 - x. Determine u, given that 10*u**2 - 8*u**3 - u - c*u + u + 3*u + 2*u**4 = 0.
0, 1, 2
Let x(h) be the third derivative of h**7/1365 - h**5/195 + h**3/39 + 9*h**2. Determine r so that x(r) = 0.
-1, 1
Let r(k) be the second derivative of 3/10*k**5 + 1/3*k**3 + 0 + 1/2*k**4 + 0*k**2 + 1/15*k**6 - 3*k. Suppose r(n) = 0. Calculate n.
-1, 0
Factor -2/9*q**2 - 8/3*q - 22/9.
-2*(q + 1)*(q + 11)/9
Solve 0 + 1/2*s**2 + 0*s + 1/4*s**3 - 1/4*s**4 = 0 for s.
-1, 0, 2
Let p(i) be the third derivative of i**5/15 + 5*i**4/6 - 10*i**2. What is m in p(m) = 0?
-5, 0
Let i(s) be the first derivative of -s**3/4 - 3*s**2 - 12*s - 5. Factor i(h).
-3*(h + 4)**2/4
Let i(j) be the second derivative of 0*j**3 - 3/5*j**5 - 1/14*j**7 + 0*j**4 + 0*j**2 + 0 - 2/5*j**6 + 3*j. What is d in i(d) = 0?
-2, 0
Let d(c) be the second derivative of c**10/30240 - c**8/3360 + c**6/720 - c**4/4 + 3*c. Let t(i) be the third derivative of d(i). Let t(q) = 0. Calculate q.
-1, 0, 1
Factor -2*c - 4*c**2 - 10*c - 9 - 20*c - 55.
-4*(c + 4)**2
Let q be (-5 + (-13)/(-3))/(-1). Determine r so that 2/9*r**2 + 2/9*r**4 + 2/3*r - q*r**3 - 4/9 = 0.
-1, 1, 2
Factor -16/9 - 8/3*b - 4/3*b**2 - 2/9*b**3.
-2*(b + 2)**3/9
Let r(z) = z + 8. Let o be r(-6). Factor -o - i + 4*i - i**3 + 0*i**3.
-(i - 1)**2*(i + 2)
Let r(w) = -4*w**2 + 2*w. Let v(k) = k**2 - k. Let o(f) = r(f) + 2*v(f). Suppose o(x) = 0. What is x?
0
Let t(d) be the second derivative of 0*d**3 + 1/18*d**4 + 3*d + 0*d**2 + 1/30*d**5 + 0. Factor t(u).
2*u**2*(u + 1)/3
Let f(y) be the third derivative of y**6/240 - y**5/120 - y**4/48 + y**3/12 + 27*y**2. Factor f(v).
(v - 1)**2*(v + 1)/2
Let f = 3 + 1. Suppose f*m - 3 = 3*m. Factor 3*j**m - 8*j**2 + 0*j**3 + 4*j - j**4 + 2*j**3.
-j*(j - 2)**2*(j - 1)
Suppose -15 = -17*y + 12*y. What is a in 19 - 7 + a**2 - 13*a**2 + y*a**2 - 3*a**3 = 0?
-2, 1
Let g(r) be the third derivative of r**8/13440 + r**7/560 + 3*r**6/160 - r**5/12 - r**2. Let t(u) be the third derivative of g(u). Find f, given that t(f) = 0.
-3
Let x(s) = -s**3 - 5*s**2 - s - 6. Let w be x(-4). Let u be (-1)/(-3) - w/(-216). Factor -1/2*p**2 + 1/4*p**3 + u*p + 0.
p*(p - 1)**2/4
Let k(i) be the third derivative of -i**6/72 - i**5/60 - i**3/3 + 5*i**2. Let s(r) be the first derivative of k(r). Let s(a) = 0. Calculate a.
-2/5, 0
Let j(d) be the first derivative of -d**7/630 + d**5/90 - d**3/18 - 3*d**2 - 1. Let u(x) be the second derivative of j(x). What is q in u(q) = 0?
-1, 1
Suppose -13 = -3*d + c, -2*c - 17 + 0 = -3*d. Factor 0 + 0*m - 1/2*m**2 - 3/4*m**d.
-m**2*(3*m + 2)/4
Let w(y) = 5*y**2 + 6*y. Let v(h) = 4*h**2 + 5*h. Let d(s) = 4*v(s) - 3*w(s). Determine z so that d(z) = 0.
-2, 0
Let n(r) be the third derivative of 0*r**3 + 1/336*r**8 + 1/30*r**5 + 0*r**4 + 2/105*r**7 + 0 + 0*r + 1/24*r**6 + 4*r**2. Solve n(w) = 0.
-2, -1, 0
Suppose -d + 7 = 2. Suppose 5*g - 5 - d = 0. Factor 0 + 0*c**3 + 0*c + 1/4*c**4 - 1/4*c**g.
c**2*(c - 1)*(c + 1)/4
Let m(c) = -2*c**3 + 6*c**2 - 9*c + 2. Let d(p) = 7*p - 10*p + 4 - 4*p**3 + 12*p**2 - 14*p. Let v(g) = -3*d(g) + 5*m(g). Factor v(w).
2*(w - 1)**3
Let w(x) be the first derivative of x**5 + 5*x**4 + 10*x**3 + 10*x**2 + 5*x - 5. Determine d, given that w(d) = 0.
-1
Suppose -2*q - 9 = 3*d, q = -4*d - 23 + 6. Find o, given that 2/3*o**2 + 2/3*o**q + 0 + 0*o = 0.
-1, 0
Let k = -6 + 5. Let g(p) = p**4 - p**3 - p**2 + 1. Let t(n) = n**4 + 3*n**3 - n**2 - 2*n - 1. Let q(v) = k*t(v) - g(v). Let q(x) = 0. What is x?
-1, 0, 1
Let b be (-10)/(2*-1) + -1. Suppose 1 - b*t - t**2 + 0 + 4*t = 0. What is t?
-1, 1
Let k(a) be the first derivative of a**8/560 + 3*a**7/280 + a**6/40 + a**5/40 - 4*a**3/3 - 4. Let h(v) be the third derivative of k(v). Solve h(m) = 0 for m.
-1, 0
Let v be (-18 + 18)/(2*1). Let u(w) be the second derivative of v + 0*w**3 + 0*w**2 - 1/30*w**4 - 2*w + 1/50*w**5. Determine m, given that u(m) = 0.
0, 1
Let p(f) = -f**3 - f**2 + f + 1. Let d be p(-1). Let d + 2/17*t**2 + 2/17*t**3 - 2/17*t - 2/17*t**4 = 0. Calculate t.
-1, 0, 1
Let -10/11*v**3 - 2/11*v**2 + 10/11*v + 2/11 = 0. What is v?
-1, -1/5, 1
Suppose -3*r = -3, -7 = l - 5*l - 3*r. Suppose -2*o + l = -3. Factor 6*h**4 - 3*h**4 - 2*h**o + 4*h - 1 + 0*h**4 - 4*h**3.
(h - 1)**2*(h + 1)*(3*h - 1)
Let x(m) be the third derivative of -m**8/112 + 3*m**7/70 + m**6/40 - 3*m**5/20 - 17*m**2. Solve x(d) = 0.
-1, 0, 1, 3
Let t(y) = -y**3 - 7*y**2 - 5*y + 1. Suppose -2*n + 0*n = -12. Let z(g) = -g**2 - g. Let v(l) = n*z(l) - t(l). Find f, given that v(f) = 0.
-1, 1
Suppose -f + 4 = 1. Factor 2 + f*w**2 + 9*w + 2 + 5 + 3*w.
3*(w + 1)*(w + 3)
Let c(a) = 4*a**4 - 12*a**3 + 16*a**2 - 4*a + 4. Let x(v) = -4*v**4 + 12*v**3 - 15*v**2 + 4*v - 3. Let h(s) = 3*c(s) + 4*x(s). Factor h(z).
-4*z*(z - 1)**3
Factor 4*x**2 + 6*x - 40 - 20*x - 22*x.
4*(x - 10)*(x + 1)
Let f(p) be the second derivative of -2*p**2 - 1/6*p**4 + p - p**3 + 0. Solve f(w) = 0.
-2, -1
Let l(h) = 2*h**2 + 5*h + 2. Let k be l(-3). Let 12*o**k + 5*o**4 - 24*o**3 - 6*o**2 - 2*o**4 + 1 + 2 + 12*o + 0 = 0. What is o?
-1, -1/4, 1
Let f(d) be the first derivative of 2*d**3/3 - d**2 - 4*d - 2. Solve f(k) = 0 for k.
-1, 2
Let b(h) = h + 7. Let l be b(-4). Let s(o) be the second derivative of -1/7*o**7 - o - 4/9*o**l - 37/30*o**5 - 10/9*o**4 + 0*o**2 + 0 - 2/3*o**6. Factor s(v).
-2*v*(v + 1)**2*(3*v + 2)**2/3
Let s(g) = 3*g**4 + 35*g**3 - 14*g**2 - 89*g + 31. Let k(t) = -t**4 - 12*t**3 + 5*t**2 + 30*t - 10. Let q(j) = -17*k(j) - 6*s(j). Find d such that q(d) = 0.
-4, 1
What is g in -2/9*g**4 + 0*g + 0 - 4/9*g**2 + 2/3*g**3 = 0?
0, 1, 2
Let l(z) = z + 6. Let q be l(-4). Factor