+ 0 = 0?
0, 1/2, 1
Let r = -13/15 - -6/5. Let n(o) be the first derivative of r*o**3 - 3*o + o**2 - 13. Suppose n(k) = 0. Calculate k.
-3, 1
Let z(d) be the third derivative of -d**7/210 + d**6/40 + d**5/12 - d**4/8 - 2*d**3/3 + 93*d**2. What is w in z(w) = 0?
-1, 1, 4
Let y(p) be the first derivative of p**6/2 + 27*p**5/5 + 51*p**4/4 - 9*p**3 - 27*p**2 - 150. What is b in y(b) = 0?
-6, -3, -1, 0, 1
Let x be (0 - (3 - 0))*-1. Factor -783*m + 783*m - x*m**2.
-3*m**2
Let k be 9/(-162)*-8 - 8/30. Let i(j) be the second derivative of k*j**6 - 14/9*j**3 + 11/12*j**4 + 2/3*j**2 - 4*j + 0 + 14/15*j**5. Let i(n) = 0. What is n?
-2, 1/4
Suppose 13 = -7*d + 11 + 16. Factor 3/4*o**3 + 3/2 - 3/4*o - 3/2*o**d.
3*(o - 2)*(o - 1)*(o + 1)/4
Let z = 2402 - 12007/5. Factor -z*v**4 - 4/5*v**3 + 0 + 0*v - 1/5*v**2.
-v**2*(v + 1)*(3*v + 1)/5
Let v(n) = 8*n - 142. Let p be v(18). Suppose -1/8*o**3 + 0 - 1/8*o**4 + 1/8*o + 1/8*o**p = 0. What is o?
-1, 0, 1
Let a(g) be the first derivative of -51*g**4/28 - 2*g**3/7 + 26. Find h, given that a(h) = 0.
-2/17, 0
Factor c**2 + 7/5*c**3 - 6/5 - 7/5*c + 1/5*c**4.
(c - 1)*(c + 1)**2*(c + 6)/5
Let g(x) be the first derivative of -10*x**3/3 - 5*x**2 + 12. Let b(q) = -9*q**2 - 9*q. Let y(p) = -5*b(p) + 4*g(p). Factor y(o).
5*o*(o + 1)
Let z(v) be the first derivative of v**5/130 - v**4/156 - 25*v**2 - 49. Let n(c) be the second derivative of z(c). Suppose n(h) = 0. Calculate h.
0, 1/3
Suppose -15/2*u**3 + 0 + 7*u + 5/2*u**4 - 5/2*u**2 + 1/2*u**5 = 0. Calculate u.
-7, -1, 0, 1, 2
Let q(l) = 7*l**4 + 9*l**3 + 6*l**2 + l. Let d(j) = -j**4. Let m(c) = 3*d(c) + q(c). Suppose m(k) = 0. Calculate k.
-1, -1/4, 0
Let q(l) = -2*l**4 + 2*l**3 + 3*l**2 - 10*l + 1. Let u(g) = 12*g**4 + 5 - 2 + 60*g - 12*g**3 - 10 - 19*g**2. Let j(n) = -34*q(n) - 6*u(n). Solve j(h) = 0.
-2, 1
Let q = 179/460 - -1/92. Let v(m) be the first derivative of q*m**5 - m**3 + m + 6 + 1/4*m**4 - 1/2*m**2. Factor v(d).
(d - 1)*(d + 1)**2*(2*d - 1)
Let h(x) be the first derivative of -x**3/5 - 108*x**2/5 - 3888*x/5 - 196. Suppose h(q) = 0. Calculate q.
-36
Let l(c) = 2*c**2 + 2*c. Let n(f) = -2*f**3 + 8*f**2 + 8*f - 2. Let w(o) = -6*l(o) + 2*n(o). Suppose w(i) = 0. Calculate i.
-1, 1
Let u(x) be the second derivative of 3*x**5/80 - x**4/32 - x**3/16 - 98*x. Factor u(o).
3*o*(o - 1)*(2*o + 1)/8
Suppose 11 = 34*n - 35*n. Let j = n + 16. Find i, given that 7*i**2 + 41/3*i**4 + 1/3*i - 2/3 - 49/3*i**3 - 4*i**j = 0.
-1/4, 2/3, 1
Determine d, given that -64/7*d**2 - 162/7*d**5 + 0 - 144/7*d**4 - 32/7*d + 48*d**3 = 0.
-2, -2/9, 0, 2/3
Let k(j) = j**3 - 6*j**2 + 6*j - 1. Let v be k(5). Factor 2*a**v + a**4 + 8*a**3 - 9 - 22*a**2 + 24*a + 6*a**4 - 10*a**4.
-(a - 3)**2*(a - 1)**2
Let q(r) = 4*r**2 - 3*r + 7. Let m(g) = -2*g**2 + g - 3. Let j(x) = -x - 4. Let t = -8 - -1. Let i be j(t). Let o(z) = i*q(z) + 7*m(z). What is b in o(b) = 0?
-1, 0
Let s(q) = -56*q**3 - 36*q**2 + 20*q - 48. Let r(z) = -z**2 - z + 2. Let g(u) = -24*r(u) - s(u). Determine m, given that g(m) = 0.
-1, -1/14, 0
Let y(p) be the third derivative of 1/6*p**4 + 4/3*p**3 + 0 - 2/15*p**5 - 10*p**2 - 1/30*p**6 + 0*p. Suppose y(n) = 0. Calculate n.
-2, -1, 1
Let r be 1/(2/1 - 38/20). Let q(x) = -x**4 - x**3 - x**2 - 1. Let l(p) = -5*p**4 - 10*p**3 - 10*p**2 - 10. Let n(i) = r*q(i) - l(i). Factor n(t).
-5*t**4
Suppose 0*i - 6*i = -9*i. Suppose 15 = 5*l + 5. Factor 1/3*u**3 + 2/3*u**l + i + 1/3*u.
u*(u + 1)**2/3
Let j(u) be the first derivative of 3*u**5/35 - 33*u**4/28 + 27*u**3/7 - 75*u**2/14 + 24*u/7 - 15. Let j(b) = 0. What is b?
1, 8
Let k(j) be the first derivative of 1/27*j**3 + 2 - 1/36*j**4 + 0*j + 1/18*j**2 - 1/45*j**5. Determine v, given that k(v) = 0.
-1, 0, 1
Suppose 0 = 4*c - 5*v - 13, -38*c + 41*c - 7 = v. Determine b so that 3/7*b**c - 6/7*b + 0 = 0.
0, 2
Factor -57/4 + 1/8*z**2 - 35/8*z.
(z - 38)*(z + 3)/8
Let f(t) = t - 2. Let m be f(2). Suppose m*j + 15 = 5*j. Factor j*a**2 - 26 + 23 + 4*a**3 - a**3 - 3*a.
3*(a - 1)*(a + 1)**2
Suppose 67*u - 71*u - 540 = 0. Let b be ((-6)/5)/(u/150). Factor b*o**3 - 4/3*o**2 - 2/3*o**5 + 2/3*o**4 - 2/3*o + 2/3.
-2*(o - 1)**3*(o + 1)**2/3
Let d = -31401 + 282611/9. Factor -2/9 - d*c + 2/9*c**3 + 2/9*c**2.
2*(c - 1)*(c + 1)**2/9
Let d(o) be the first derivative of 1/3060*o**6 + 0*o**2 - 1/3*o**3 + 0*o**5 + 0*o - 1/204*o**4 - 3. Let f(z) be the third derivative of d(z). Solve f(i) = 0.
-1, 1
Let l(f) be the second derivative of -f - 125/2*f**2 - 5/12*f**4 + 0 - 25/3*f**3. Let l(j) = 0. Calculate j.
-5
What is o in -4/3*o**5 + 36*o + 73/3*o**3 + 40/3 - 190/3*o**2 + o**4 = 0?
-5, -1/4, 2
Let q(m) be the third derivative of -m**8/1512 + m**7/945 + 11*m**6/540 + 7*m**5/270 - 5*m**4/54 - 8*m**3/27 - 39*m**2. Determine o so that q(o) = 0.
-2, -1, 1, 4
Let v(c) be the third derivative of c**7/70 - 9*c**6/40 + 23*c**5/20 - 3*c**4/8 - 18*c**3 - 3*c**2 + 7*c. Factor v(l).
3*(l - 4)*(l - 3)**2*(l + 1)
Let m(y) be the second derivative of y**6/10 + 12*y**5/5 + 29*y**4/4 + 7*y**3 + 21*y. Factor m(j).
3*j*(j + 1)**2*(j + 14)
Let x(w) be the first derivative of 8/9*w**2 - 8/9*w + 22/27*w**3 - 21 + 1/6*w**4. Factor x(q).
2*(q + 2)**2*(3*q - 1)/9
Suppose 40*r = -77 + 237. Let u(b) be the first derivative of b**4/4 - b**3 + b**2 + 1. Let a(m) = m**3 - m**2. Let x(z) = r*a(z) - 2*u(z). Factor x(p).
2*p*(p - 1)*(p + 2)
Let d(t) be the third derivative of 0*t + 0 - 1/48*t**6 - 7/24*t**5 + 11*t**2 - 5/3*t**4 - 5*t**3. Determine o so that d(o) = 0.
-3, -2
Let t = -3/2 - -2. Factor -1/2*h**3 + t*h + 0*h**2 + 0.
-h*(h - 1)*(h + 1)/2
Let c(q) be the third derivative of 0*q**4 - 17*q**2 + 0*q**3 + 0*q + 1/12*q**5 - 1/42*q**7 + 0*q**6 + 0. Factor c(y).
-5*y**2*(y - 1)*(y + 1)
Let x be 6/14 + (-164)/(-287). Let s(c) be the first derivative of 2*c**2 - 2/3*c**3 + 6*c + x. Factor s(q).
-2*(q - 3)*(q + 1)
Suppose 2*z = -3 + 9. Let r be (-5 + z)*12/(-8). Factor 2*v**r + 46/5*v - 12/5 - 44/5*v**2.
2*(v - 3)*(v - 1)*(5*v - 2)/5
Find k such that -24*k - 72*k**2 - 78*k**4 + 27/2*k**5 + 0 + 144*k**3 = 0.
-2/9, 0, 2
Let i(o) be the first derivative of -o**3 + 114*o**2 - 4332*o - 46. Factor i(p).
-3*(p - 38)**2
Let k be (-276)/(-2070) - (-116)/30. Let f(c) be the second derivative of 2*c**3 - 8/15*c**6 + k*c - 9/5*c**5 + 10/3*c**4 + 0*c**2 + 0. Factor f(w).
-4*w*(w - 1)*(w + 3)*(4*w + 1)
Let 11*z**3 - 18*z**3 + 123*z - 47 + 150*z**2 - 204*z + 17 - 20*z**3 - 12*z**4 = 0. What is z?
-5, -1/4, 1, 2
Factor 193*i**3 + 125*i + 0*i**4 + 175*i**2 - 138*i**3 + 5*i**4.
5*i*(i + 1)*(i + 5)**2
Let x = -2 - -5. Suppose 13 = 2*i + y, 4*y + 3 = -1. Solve 3 - 26*j**x + 30*j**2 - 11*j**3 - 8*j - 7*j - 3*j**5 + 15*j**4 + i*j**3 = 0 for j.
1
Suppose 0 = -5*n - 2*o - 19 - 5, -3*n - 9 = 3*o. Let k be 6/(-9)*n/11. Factor -2/11 + k*x - 2/11*x**2.
-2*(x - 1)**2/11
Factor 6/13 - 16/13*u + 12/13*u**2 - 2/13*u**4 + 0*u**3.
-2*(u - 1)**3*(u + 3)/13
Suppose -5*m + 53 = -2*b - b, 3*m + 4*b = 55. Suppose 5*u = -15, 0*v + v + m = -5*u. What is d in -d + 2*d**v + d - d - 4 + 3*d = 0?
-2, 1
Factor 116 - 217 + 27*b + b**2 + 129 - 2*b**2.
-(b - 28)*(b + 1)
Let l(a) be the first derivative of -a**7/630 + a**5/180 + 21*a**2/2 - 23. Let r(m) be the second derivative of l(m). Factor r(b).
-b**2*(b - 1)*(b + 1)/3
Let q(m) be the second derivative of m**6/15 - 2*m**5/5 - 13*m**4/6 + 40*m**3/3 + 48*m**2 + 20*m + 1. Determine v, given that q(v) = 0.
-3, -1, 4
Let a be ((-24)/(-25))/(7*6/210). Let l = a - 62/15. Factor -l*r**2 - 2/3*r + 0.
-2*r*(r + 1)/3
Let x be -37 - -29 - ((-100)/(-6))/(-2). Determine p, given that -x*p**3 + 1/3*p**4 - 1/3*p**2 + 0 + 1/3*p = 0.
-1, 0, 1
Find a such that 38/5*a + 0 - 1/5*a**2 = 0.
0, 38
Let n(y) be the second derivative of -y**4/4 - y**3 + 9*y**2/2 - 28*y. Factor n(m).
-3*(m - 1)*(m + 3)
Let z(k) be the third derivative of -k**7/21 - k**6/24 + k**5/12 + k**2 + 17*k. Suppose z(n) = 0. What is n?
-1, 0, 1/2
Let l(j) = 2*j**2 + 5*j - 9. Let i be l(-4). Find r, given that -57*r**3 + 18*r - 32*r**i - 2 + 25*r**3 - 6*r = 0.
-1/2, 1/4
Let u(l) = 4*l - 7. Let p be u(5). Suppose -p*j + 8 = -9*j. Factor 0*d**2 + 0*d**2 - 2 + 2*d**j.
2*(d - 1)*(d + 1)
Let x = -833/9 - -10865/36. Solve 0*m + 3 + x*m**4 - 201/4*m**2 - 45/4*m**3 + 405/4*m**5 = 0.
-2, -2/5, -1/3, 1/3
Let p(k) be the second derivative of -k**5/240 + k**4/96 - 