= 14*d**2 - d**4 + 9*d**2 - n + 5 - 12*d**3. Let k(x) = -34*b(x) - 6*v(x). What is l in k(l) = 0?
-1, 0, 1/3
Let v(j) be the second derivative of j**7/11340 - j**6/3240 - j**4/12 - 2*j. Let g(c) be the third derivative of v(c). What is i in g(i) = 0?
0, 1
Let q(k) be the first derivative of -4 - 2/5*k - 1/5*k**6 - 2/25*k**5 + 4/15*k**3 - 3/5*k**2 + 3/5*k**4. Solve q(g) = 0.
-1, -1/3, 1
Let d(k) = -k**2 - 11*k + 12. Let f be d(-17). Let j be (-4)/f*3*3. Determine m, given that -2/5*m**2 - j*m + 0 = 0.
-1, 0
Suppose 0 = -7*n + 2*n + 15. Let x = 6 + -4. Find f, given that -5*f**2 + 4*f**2 + f**n + f - f**x = 0.
0, 1
Suppose 3*k - 21 = -0*k. Let w = 11 - k. Find h such that -w*h**2 + 4*h**4 + 0*h**4 + 10*h**5 - 3*h**3 - 7*h**3 = 0.
-1, -2/5, 0, 1
Determine r so that 0 + 0*r**4 + 0*r + 0*r**2 - 1/6*r**5 + 1/6*r**3 = 0.
-1, 0, 1
Let a(o) be the first derivative of o**5/30 - o**4/5 + 4*o**3/15 + 3*o**2/2 + 3. Let h(u) be the second derivative of a(u). Determine m, given that h(m) = 0.
2/5, 2
Let m(v) be the second derivative of v**4/3 + 14*v**3/3 + 34*v. Determine i so that m(i) = 0.
-7, 0
What is v in 5*v - 1/2*v**2 - 25/2 = 0?
5
Let i(q) be the second derivative of 2*q - 1/35*q**6 + 1/21*q**3 + 0*q**2 - 1/70*q**5 + 1/14*q**4 + 0. Solve i(y) = 0.
-1, -1/3, 0, 1
Let p(x) be the third derivative of 0*x**4 + 1/180*x**6 + 0*x**5 + 0 + 0*x**3 + 0*x + 0*x**7 - 5*x**2 - 1/504*x**8. Determine f so that p(f) = 0.
-1, 0, 1
Let f(j) be the first derivative of -j**7/84 + 2*j**6/45 - j**5/60 - j**4/6 - j**3/3 - 2. Let i(x) be the third derivative of f(x). Let i(d) = 0. Calculate d.
-2/5, 1
Suppose -8/7*g**3 - 2/7*g**5 + 12/7*g**2 - 12/7*g**4 + 10/7*g + 0 = 0. What is g?
-5, -1, 0, 1
Let z(q) = -5*q**2 - q - 6. Let p(s) = -4*s**2 - 5. Let h(c) = 4*p(c) - 3*z(c). Factor h(a).
-(a - 2)*(a - 1)
Let x(s) be the second derivative of s**6/30 + s**5/5 - s**4/2 - 2*s**3/3 + 5*s**2/2 + 51*s. Suppose x(u) = 0. Calculate u.
-5, -1, 1
Suppose -1/2*l**2 + 1 - 1/2*l = 0. What is l?
-2, 1
Let z = 2 - -2. What is a in 4*a + 3*a**z - 3*a**2 - 2*a + 0*a**3 - 2*a**3 = 0?
-1, 0, 2/3, 1
Let s(a) be the third derivative of 1/30*a**5 + 7*a**2 + 0 + 0*a - 1/2*a**4 + 3*a**3. Factor s(b).
2*(b - 3)**2
Let o = -16 + 16. Suppose 3*c - 1 = -4, 3*v - 4*c - 10 = o. Solve 0 + 2/11*t**3 - 2/11*t + 0*t**v = 0 for t.
-1, 0, 1
Suppose -x + 0 - 5 = 4*v, 3*x + 15 = 3*v. Let p be (2/(-3))/((-2)/6). Factor v*b**p - 2*b**2 + 4*b**2.
2*b**2
Let u(d) be the third derivative of d**4/24 - d**3/2 + 2*d**2. Let i be u(3). Factor 4/5*n**4 + i*n**2 + 2/5*n**5 + 0*n + 0 + 2/5*n**3.
2*n**3*(n + 1)**2/5
Let z = -26 + 28. Find q, given that 0*q + 0 - 8/7*q**4 - 6/7*q**3 + 2/7*q**z = 0.
-1, 0, 1/4
Suppose 3*o - 12 = 4*u, -5*o = 2*u + 8 - 2. Find l such that -5/7*l**2 + o + 1/7*l + l**3 - 3/7*l**4 = 0.
0, 1/3, 1
Factor d**2 - 3*d**2 - 4 + 6*d + 0*d.
-2*(d - 2)*(d - 1)
Let t = 22 - 131/6. Let r(p) be the second derivative of 1/6*p**3 + 0*p**2 + 2*p + 0 - t*p**4 + 1/20*p**5. Factor r(a).
a*(a - 1)**2
Let n(f) be the first derivative of -5*f**6/6 - 6*f**5 - 55*f**4/4 - 10*f**3/3 + 30*f**2 + 40*f + 39. Factor n(v).
-5*(v - 1)*(v + 1)*(v + 2)**3
Let h(x) = -x**2 + 19*x + 3. Let z be h(19). Let r(u) be the third derivative of z*u**2 + 0*u**3 - 1/6*u**4 + 1/30*u**5 + 0 + 0*u. Factor r(m).
2*m*(m - 2)
Let b(g) = g**4 + g**2. Let j(c) = -2*c**5 - 8*c**4 - 6*c**3 - 4*c**2. Let f(h) = -4*b(h) - 2*j(h). Solve f(p) = 0 for p.
-1, 0
Suppose -51*t = -107*t + 45*t. Factor -1/5*g**2 + t + 0*g.
-g**2/5
Let s(n) = 10*n**4 + 13*n**3 + 3*n**2 + 5*n - 4. Let l(f) = f**4 + f**3 + f. Let y(t) = 18*l(t) - 2*s(t). Suppose y(r) = 0. What is r?
-2, -1, 1
Let m = -8 + 8. Suppose 2*r = -m*r - 3*b + 1, -6 = -r + 4*b. Suppose -r*w**4 - 2*w + 0*w**4 + 8*w**2 - 6*w**3 - 14*w**2 = 0. Calculate w.
-1, 0
Let p = 453/4 - 114. Let l = p - -13/12. Factor 1/3*w + w**2 + w**3 + 0 + l*w**4.
w*(w + 1)**3/3
Let o(p) be the third derivative of -13/12*p**4 + 2/9*p**5 + 0*p + 0 + 2*p**2 + 2*p**3 - 1/60*p**6. Let o(h) = 0. What is h?
2/3, 3
Let -4*x - 18*x**4 - 56/3*x**5 + 34/3*x**2 + 16*x**3 + 0 = 0. What is x?
-1, 0, 2/7, 3/4
Let y(k) be the first derivative of k**4/16 - 5*k**3/12 + k**2 - k - 4. Suppose y(m) = 0. Calculate m.
1, 2
Suppose -5*d - 7 + 22 = 0. Solve 8*x + 3 + d*x**3 + 5*x**2 + 1 - 2*x**3 = 0.
-2, -1
Let y be 10/4*(-24)/(-12). Suppose -3*t = -y*c + 13, t + 3 = 2. Let -235/2*p**3 - 20*p - 175/2*p**4 - c - 49/2*p**5 - 145/2*p**2 = 0. Calculate p.
-1, -2/7
Let k(a) be the first derivative of -a**6/8 - 3*a**5/20 + 3*a**4/16 + a**3/4 - 27. Solve k(s) = 0 for s.
-1, 0, 1
Let i(n) be the first derivative of 2*n**6/21 - 16*n**5/35 + 4*n**4/7 + 8*n**3/21 - 10*n**2/7 + 8*n/7 - 6. Solve i(s) = 0 for s.
-1, 1, 2
Let n(v) = -3*v**2 + 9*v - 5. Let s(x) = -x**2 + 3*x - 2. Let r(i) = 6*n(i) - 17*s(i). Factor r(z).
-(z - 4)*(z + 1)
Suppose -s + p = 1, 3*p = s - 3 + 8. Let v(d) = -7*d**3 - 2*d**2 - 3*d - 4. Let w(f) = f**3 - f**2 + 1. Let n(u) = s*v(u) + 4*w(u). Factor n(q).
-3*q*(q + 1)**2
Let y(k) be the first derivative of -k**6/1080 - k**5/120 - k**4/36 + k**3 - 5. Let z(w) be the third derivative of y(w). Solve z(x) = 0 for x.
-2, -1
Let x = -173 - -175. Factor 2/7*k**4 - 2/7*k**x - 2/7*k**3 + 0 + 2/7*k.
2*k*(k - 1)**2*(k + 1)/7
Let d(j) be the third derivative of j**7/105 + j**6/60 - j**5/30 - j**4/12 + 7*j**2. Factor d(f).
2*f*(f - 1)*(f + 1)**2
Suppose -4*u = -10*g + 5*g + 33, -3*g + 2*u = -19. Find w, given that 8/5*w**2 - 14/5*w + 28/5*w**3 - 4/5 - 4/5*w**4 - 14/5*w**g = 0.
-1, -2/7, 1
Let p(a) = -a**3 - 3*a**2 + 3*a - 4. Let j be p(-4). Let o(m) be the first derivative of -m - 1/5*m**5 + 2 + 2/3*m**3 + j*m**2 + 0*m**4. Factor o(h).
-(h - 1)**2*(h + 1)**2
Let w be (-1 - 1) + (-9012)/72. Let y = 265/2 + w. Let -8/3*h - 1/3 - y*h**2 = 0. Calculate h.
-1/4
Let o(g) be the second derivative of -g**6/75 - 2*g**5/25 - g**4/6 - 2*g**3/15 - 7*g. Factor o(x).
-2*x*(x + 1)**2*(x + 2)/5
Suppose -6*y = -7*y - l + 7, 3*y + l = 13. Solve -2/3*c**4 - 1/3*c**y - 1/3*c**5 + 0*c + 0*c**2 + 0 = 0.
-1, 0
Solve -2/7*i + 8/7*i**5 + 18/7*i**3 + 22/7*i**4 + 2/7*i**2 + 0 = 0 for i.
-1, 0, 1/4
Let g(t) = -3*t**2 + 5*t - 4. Let w(l) = -3*l**2 + 6*l - l**2 - l - 5 + l. Let v(h) = -5*g(h) + 4*w(h). Suppose v(q) = 0. Calculate q.
-1, 0
Suppose 3 = 3*y - n, 5*y + 0*n - 7 = n. Suppose 8 + 0 = y*s. Factor 1/4*q**s - 1/2*q**2 + 0*q**3 + 1/4 + 0*q.
(q - 1)**2*(q + 1)**2/4
Let j(z) be the first derivative of -z**4/14 + 2*z**3/7 - 2*z**2/7 + 8. Factor j(p).
-2*p*(p - 2)*(p - 1)/7
Let k(r) be the second derivative of r**4/126 - 4*r**3/63 + r**2/7 + 7*r. Find h such that k(h) = 0.
1, 3
Factor 90*m**2 - 121*m**2 + 15 + 56*m**2 + 35*m + 5*m**3.
5*(m + 1)**2*(m + 3)
Let w be 4 + 1 - (-5 + 6). Factor w + 3*n**3 - 4*n**3 - n**3 + 2*n - 6*n**2 + 2*n**4.
2*(n - 2)*(n - 1)*(n + 1)**2
Let y(o) = -2*o + 29. Let z be y(13). Let v(q) be the third derivative of -1/6*q**z + 1/12*q**4 - 1/60*q**5 + 3*q**2 + 0*q + 0. Find g such that v(g) = 0.
1
Let o(z) be the first derivative of 2*z**3/3 - 24*z**2 + 288*z + 41. Let o(j) = 0. What is j?
12
Let l(w) = -w**2 - 4*w - 4. Let p be l(-2). Factor -1/5*a**2 + p*a + 1/5.
-(a - 1)*(a + 1)/5
Let w(h) be the first derivative of h**8/168 - 2*h**7/525 + h**2/2 + 4. Let b(q) be the second derivative of w(q). Determine u, given that b(u) = 0.
0, 2/5
Factor 6/11*g + 8/11 - 2/11*g**2.
-2*(g - 4)*(g + 1)/11
Let r(u) = -u**3 - 4*u**2 - 4*u + 1. Let i be r(-3). Suppose -1 + 1 - i*p**3 + 5*p**2 - 3*p**2 + 2*p**4 = 0. Calculate p.
0, 1
Let x(t) = t**3 - 5*t**2 - 7*t + 8. Let w be 1*(12 - 0)/2. Let p be x(w). Find k such that -p*k**5 + 6*k - 4*k**3 - 6*k**4 + 5*k**2 - k**2 - 2 + 4 = 0.
-1, 1
Let v(g) = 7*g**2 - 7*g - 10. Let j = 7 + -11. Let q(c) = -6*c**2 + 6*c + 9. Let x(w) = j*q(w) - 3*v(w). Factor x(y).
3*(y - 2)*(y + 1)
Let q be 0*3/(-9) + -2. Let h be (q - 2) + 64/14. Factor -2/7*g - h*g**2 - 2/7*g**3 + 0.
-2*g*(g + 1)**2/7
Let i(d) be the first derivative of -d**5/30 - d**4/12 + 5*d**2/2 - 7. Let j(h) be the second derivative of i(h). Let j(m) = 0. What is m?
-1, 0
Let f(h) be the third derivative of 0 + 0*h + 5*h**2 - 1/12*h**3 + 1/96*h**4 + 1/240*h**5. Let f(v) = 0. What is v?
-2, 1
Let x(y) = 5*y**2 - 110*y + 605. Let g(n) = -55*n**2 + 1210*n - 6655. Let t(l) = -4*g(l)