5/3*v - 2/3 = 0. Calculate v.
-2, -1
Determine h, given that 8232 - 3234*h + 2/9*h**4 - 134/9*h**3 + 350*h**2 = 0.
4, 21
Let m = 541 + -538. Let o(s) be the third derivative of -1/40*s**6 + 0*s**m + 0*s**4 + 0*s + 1/20*s**5 + 0 - 8*s**2. Factor o(c).
-3*c**2*(c - 1)
Let l(v) = -5*v. Let u be l(-3). Let h be (-74)/(-10) + (-6)/u. Let -5*p - h*p + 4*p**3 + 9 - 1 = 0. What is p?
-2, 1
Let w(i) be the first derivative of 3/5*i**5 - 9 + 0*i**2 + 0*i + 9*i**3 - 9/2*i**4. Find p such that w(p) = 0.
0, 3
Solve -22/3*w**2 - 8 - 1/3*w**3 + 47/3*w = 0 for w.
-24, 1
Let z(f) be the first derivative of f**4/3 - 2*f**3/3 - 4*f**2 - 24*f + 14. Let d(w) be the first derivative of z(w). Let d(i) = 0. What is i?
-1, 2
Factor 9*y + 1/7*y**2 + 0.
y*(y + 63)/7
Suppose q - 6*q - 150 = 0. Let w be (-4)/30 + (-94)/q. What is x in 2*x**5 - 4*x**2 - 8*x**5 + 6*x**w + x**2 + 3*x**4 = 0?
-1, 0, 1/2, 1
Solve 0*t + 1/7*t**3 - 2/7*t**2 + 1/7*t**4 + 0 = 0.
-2, 0, 1
Let m(i) be the first derivative of -i**4/42 + i**3/7 + 11*i - 11. Let x(l) be the first derivative of m(l). Factor x(d).
-2*d*(d - 3)/7
Suppose 0 = -3*w + 2*k - 23, 2*w + 2*k = -k - 24. Let i be (48/((-36)/(-9)))/(w/(-2)). Let i + 2*q**2 + 16/3*q = 0. What is q?
-2, -2/3
Suppose 252 + 1706*s**3 - 1702*s**3 - 43*s - 89*s + 4*s**2 = 0. Calculate s.
-7, 3
Let l be (-6)/(-40) + (-2)/(-8). Let y be 7 - (1 + (-232)/(-40)). Solve -l*b**2 - y*b - 1/5*b**3 + 0 = 0 for b.
-1, 0
Let z(b) be the first derivative of -b**9/6804 + b**8/1890 + b**7/630 - 5*b**3 - 40. Let s(j) be the third derivative of z(j). Solve s(f) = 0.
-1, 0, 3
Suppose 17*q - 2*q - 90 = 0. Let b(w) be the first derivative of -9*w**3 + 0*w**2 + 1/6*w**q + 0*w + 27/4*w**4 + 5 - 9/5*w**5. Let b(c) = 0. Calculate c.
0, 3
Suppose -54*n - 30/7*n**3 - 324/7 - 162/7*n**2 - 2/7*n**4 = 0. Calculate n.
-6, -3
Suppose -385 = -3*c + 5*x, 2*c + 8*x = 3*x + 265. Suppose 4*d - 2 - c = -4*m, -4*m = -2*d + 42. Factor -20*l**3 - 8 - 2*l - 5*l - 48*l**2 - d*l.
-4*(l + 1)**2*(5*l + 2)
Suppose -3*j + 49 = 3*v - 2*j, 2*v = 3*j + 29. Suppose 5*x - v - 4 = 0. Factor -u**4 - u**3 - 4*u**5 - u**2 + 9*u**5 - x*u**5 + 2*u**2.
u**2*(u - 1)**2*(u + 1)
Suppose -3 = -3*t + 18. Let f(z) be the third derivative of 0*z**5 + 0*z + 1/112*z**8 + 0*z**3 + 1/280*z**t + 0 + 0*z**4 + 0*z**6 + 5*z**2. Factor f(h).
3*h**4*(4*h + 1)/4
Let i be (36/(-40))/(72/(-15)). Let u = 79/80 - i. Factor -u*n**2 + 12/5*n - 8/5.
-4*(n - 2)*(n - 1)/5
Let m(w) be the third derivative of w**9/120960 - w**7/3360 + w**6/720 - w**5/30 - 4*w**2. Let n(b) be the third derivative of m(b). Solve n(u) = 0.
-2, 1
Let r(w) be the second derivative of -1/2*w**5 + 0*w**2 + 0 + 1/6*w**6 + 5/3*w**3 + 14*w - 5/12*w**4. Determine x, given that r(x) = 0.
-1, 0, 1, 2
Let y(r) = r**2 + 6*r + 7. Let j be y(-3). Let n be 26/(-195)*(20/1)/j. What is l in -n + 2/3*l + 2/3*l**2 = 0?
-2, 1
Let s(b) = -300*b**3 - 540*b**2 + 103*b + 1. Let z(p) = -100*p**3 - 180*p**2 + 35*p. Let h(g) = 2*s(g) - 7*z(g). Let h(k) = 0. What is k?
-2, 1/10
Let i(a) = -35*a**4 + 35*a**3 + 5*a**2 + 10*a + 15. Let j(r) = 2 - 7 + 2 - r + 2 - r**2 + r**4. Let y(b) = -i(b) - 15*j(b). Factor y(v).
5*v*(v - 1)**2*(4*v + 1)
Let f(v) be the second derivative of -v**5/130 - v**4/78 + 4*v**3/13 + 25*v - 4. Solve f(q) = 0.
-4, 0, 3
Suppose -3*d - 2 + 8 = 0. Let h be 1/d*(5 - (-84)/(-20)). Factor -2/5 + 2/5*a - 2/5*a**4 + 4/5*a**2 + h*a**5 - 4/5*a**3.
2*(a - 1)**3*(a + 1)**2/5
Let p(a) = -a**3 - 10*a**2 - 8*a - 6. Let d be p(-8). Let o be 5/d*(-4)/1. What is n in 0 - 2/7*n**2 - o*n = 0?
-1, 0
Let f(q) = q + 3. Let a(v) = 3*v**3 + 3*v**2 + 24. Let b(n) = -a(n) + 12*f(n). Factor b(h).
-3*(h - 2)*(h + 1)*(h + 2)
Let r(z) = z**3 + 14*z**2 - 11*z + 62. Let o be r(-15). Let d(i) be the first derivative of 2/9*i - 3 + 2/27*i**3 + 2/9*i**o. Find m such that d(m) = 0.
-1
Let o(q) be the second derivative of -3*q**5/140 - 19*q**4/4 - 2244*q**3/7 - 6534*q**2/7 - 12*q + 1. What is t in o(t) = 0?
-66, -1
Let s(z) be the first derivative of 19/20*z**2 + 4/15*z**3 + 3/5*z - 33. Determine j so that s(j) = 0.
-2, -3/8
Let i = -32879573/450 + 73066. Let n = -3/50 + i. Solve -n*d + 0 + 2/9*d**2 = 0.
0, 1
What is z in 31*z - 5*z**4 - 63*z**3 - 75 - 221*z - 172*z**2 + 12*z**2 + 13*z**3 = 0?
-5, -3, -1
Let n = 3071 - 15351/5. Factor -n*i - 1/5*i**2 - 3/5.
-(i + 1)*(i + 3)/5
Suppose 4*i = 2*i. Let d = -7/940 - -383/940. Factor d*n**3 - 6/5*n**2 + i*n + 8/5.
2*(n - 2)**2*(n + 1)/5
Let j(y) = y**2 + y - 1. Let p be (0 + -1)*(3 + (-1)/1). Let c(a) = 5*a**2 - 4*a - 11. Let d(t) = p*j(t) + c(t). Factor d(q).
3*(q - 3)*(q + 1)
Determine a, given that 25 + 145/6*a - 5/6*a**2 = 0.
-1, 30
Let w(y) be the second derivative of y**6/18 + 8*y**5/15 - 7*y**4/4 + 5*y**3/9 + 8*y**2/3 - 2*y - 246. Find p, given that w(p) = 0.
-8, -2/5, 1
Suppose -5*q - 427 = -k, 0 = -3*q - 4*k + 90 - 337. Let d = -167/2 - q. Let 27/2*h**3 + d*h + 0 + 9*h**2 = 0. Calculate h.
-1/3, 0
Let d(p) be the second derivative of p**4/36 + p**3/18 - p**2/3 - 26*p. Let d(j) = 0. What is j?
-2, 1
Let m(q) be the first derivative of q**6/105 + q**5/105 - 13*q**4/42 + 4*q**3/7 + 9*q**2/2 + 12. Let b(r) be the second derivative of m(r). Factor b(t).
4*(t - 2)*(t + 3)*(2*t - 1)/7
Let a be 472391/2 + -3*(-1)/6. Solve -3240*d**3 - 2*d**5 - 2*d**5 + a + 29160*d**2 - 131220*d + 342*d**4 - 162*d**4 = 0 for d.
9
Suppose -15*l + 70*l = 220. Solve 4/13 + 18/13*c + 4/13*c**l + 18/13*c**3 + 28/13*c**2 = 0 for c.
-2, -1, -1/2
Let p be 8/(-24) + 48/9. Let i(d) be the second derivative of 0 + 0*d**3 + 0*d**6 - 1/14*d**7 + 3/20*d**5 + 0*d**4 + 0*d**2 + p*d. Let i(l) = 0. What is l?
-1, 0, 1
Let t(d) be the second derivative of 1/20*d**5 + 0*d**2 + 1/3*d**4 + 2*d + 2/3*d**3 + 0. Let t(p) = 0. What is p?
-2, 0
Let t(h) = h**3 + 3*h**2 - 4*h. Suppose -30 = 5*u - 2*x, 2*u + 2*u = 4*x - 36. Let f be t(u). Factor 0*g**2 + 0*g**3 + f - 1/3*g**5 + 0*g - 1/3*g**4.
-g**4*(g + 1)/3
Let q = 278/147 - 60/49. Factor 0*h + 2/3*h**3 - q*h**2 + 0.
2*h**2*(h - 1)/3
Factor 0 - 15/4*v**3 - 135/2*v + 415/4*v**2.
-5*v*(v - 27)*(3*v - 2)/4
Let k(n) = -n**2 + 2*n - 1. Let g(s) = -42*s - 57. Let u(o) = -g(o) - 3*k(o). Let u(i) = 0. What is i?
-10, -2
Let w(m) be the second derivative of -m**7/105 + 4*m**6/75 - 3*m**5/25 + 2*m**4/15 - m**3/15 - 3*m - 6. Let w(r) = 0. What is r?
0, 1
Let 20*o + 6 - 6*o**3 - 5/2*o**4 + 21/2*o**2 = 0. Calculate o.
-3, -1, -2/5, 2
Let p(q) be the first derivative of -q**6/18 - 2*q**5/5 - 2*q**4/3 + 7*q**3 - 25. Let w(x) be the third derivative of p(x). Factor w(d).
-4*(d + 2)*(5*d + 2)
Let p(n) be the first derivative of -11/3*n**2 + 20/3*n + 2/9*n**3 - 13. Factor p(i).
2*(i - 10)*(i - 1)/3
Let s(k) be the third derivative of -k**6/600 + k**5/150 + k**4/40 - 236*k**2. Solve s(i) = 0 for i.
-1, 0, 3
Let a(s) be the third derivative of s**7/70 + 13*s**6/40 - s**5/20 - 13*s**4/8 - 7*s**2 + 9. Factor a(t).
3*t*(t - 1)*(t + 1)*(t + 13)
Let k(z) be the third derivative of 1/210*z**5 - 1/28*z**4 + 0*z + 0 + 25*z**2 + 2/21*z**3. Solve k(j) = 0 for j.
1, 2
Let i = 1277 + -1273. Factor 10/9*m**3 + 14/9*m - 2*m**2 - 4/9 - 2/9*m**i.
-2*(m - 2)*(m - 1)**3/9
Suppose -l + 30 = 5*k, 0 = -3*k + 5*l - 3*l + 5. Let h(n) be the first derivative of -3/7*n**3 + 0*n + 1/7*n**2 - 1/7*n**k + 5 + 3/7*n**4. Factor h(z).
-z*(z - 1)**2*(5*z - 2)/7
Let d = -64 - -68. Factor -4*u + 7 + 5*u**2 - 13*u**2 - d + 9*u**2.
(u - 3)*(u - 1)
Suppose 0 = 2*d + 6, 5*d = 4*f - 25 + 2. Suppose 12*y**2 + y + 0*y - 4*y - 11*y**f + 2 = 0. What is y?
1, 2
Suppose -160 + 5*j**2 + 9*j**2 + 60*j - 23*j**2 + 4*j**2 = 0. Calculate j.
4, 8
Factor 2400*m**2 - 2 + 3 + 3 - 28*m - 20*m**3 + 4 + 4*m**4 - 2364*m**2.
4*(m - 2)*(m - 1)**3
Let q = -429 - -429. Let w(z) be the first derivative of 8/3*z**3 - z**4 - 3 + q*z**2 + 0*z. Let w(x) = 0. What is x?
0, 2
Solve 24*p**2 - 10 - 47*p**2 + 6*p - 5*p - 5*p**3 + 33*p**2 + 4*p = 0 for p.
-1, 1, 2
Let n(y) = 16*y**2 + 43*y - 270. Let g(v) = 7*v**2 + 22*v - 136. Let z(s) = -9*g(s) + 4*n(s). Factor z(p).
(p - 18)*(p - 8)
Factor -157*w**3 - 164*w**3 - 256*w**2 + 323*w**3.
2*w**2*(w - 128)
Let m be 4 - (-6)/33 - 16/88. Let 10/9*i**2 + 4/9*i**3 + 0 - 10/9*i**m - 4/9*i = 0. Calculate i.
-1, 0, 2/5, 1
Let g(s) be the second derivative of s**4/4 + s**3/2 - 45*s**2 - 208*s. Solve g