4/5 + 6/5*n - s*n**2 = 0. Calculate n.
1, 2
Let d = -11 - -16. Suppose -7*u + d*u = -2. Suppose -2 - 2*o**2 + 0*o**2 + 1 - u + 4*o = 0. Calculate o.
1
Let r(a) be the first derivative of 75*a**6/4 + 59*a**5 + 267*a**4/4 + 100*a**3/3 + 33*a**2/4 + a - 46. Find w such that r(w) = 0.
-1, -2/9, -1/5
Suppose 24 = -7*q + 15*q. Factor q*y**2 - 24*y + 29*y - 2 - 2*y**3 - 4*y**2.
-(y - 1)*(y + 2)*(2*y - 1)
Let p(g) be the third derivative of -g**9/5040 + 3*g**8/2240 - 17*g**4/24 - 8*g**2. Let c(n) be the second derivative of p(n). Find i, given that c(i) = 0.
0, 3
Let a(y) be the third derivative of 2*y**7/735 - 13*y**6/70 + 5*y**5/7 - 37*y**4/42 - 2*y**2 - 42. Find i such that a(i) = 0.
0, 1, 37
Let d(n) be the third derivative of n**6/40 - 7*n**5/20 - 17*n**4/8 - 9*n**3/2 + 2*n**2 + 13*n. Factor d(i).
3*(i - 9)*(i + 1)**2
Suppose -1590 = 973*q - 1132*q. Solve 0*g**2 - q*g**3 + 0 + 0*g - 5/2*g**5 - 25/2*g**4 = 0.
-4, -1, 0
Let q(v) be the second derivative of 2*v**4/9 - 17*v**3/18 + 3*v**2/2 - 7*v - 8. Find c such that q(c) = 0.
1, 9/8
Let k(c) be the third derivative of 1/96*c**4 - 10*c**2 + 1/480*c**6 + 0*c + 1/120*c**5 + 0*c**3 + 0. Let k(x) = 0. What is x?
-1, 0
Let i(o) = -2*o**2 + 24*o + 28. Let g be i(13). Suppose -6*k = -g*k - 20. Find r such that 38*r**3 + 5/2*r**k + 8 + 0*r - 33/2*r**4 - 32*r**2 = 0.
-2/5, 1, 2
Let v be ((-5)/((-15)/(-57)))/1. Let t = v + 23. Factor -10*d + 11*d + 17*d + 8*d**2 + t.
2*(d + 2)*(4*d + 1)
Let y(n) be the second derivative of -6*n**2 + 1/140*n**5 - 1/56*n**4 + 0 - 1/7*n**3 + 4*n. Let h(j) be the first derivative of y(j). Solve h(r) = 0 for r.
-1, 2
Let o(w) be the third derivative of -1/285*w**6 + 0 + 5/228*w**4 + 2/57*w**3 - 11*w**2 - 1/3192*w**8 + 0*w + 1/285*w**5 - 4/1995*w**7. What is r in o(r) = 0?
-2, -1, 1
Suppose 11*s + 20 = 21*s. Let r(t) be the third derivative of -5*t**s + 0*t**4 - 1/20*t**5 + 0*t**3 + 0*t + 0 + 2/35*t**7 - 3/40*t**6. Factor r(w).
3*w**2*(w - 1)*(4*w + 1)
Let u = 154/369 - 709/2583. Find c, given that -c + u*c**2 - 8/7 = 0.
-1, 8
Let p(r) = 5*r**3 + 18*r**2 - 15*r - 8. Let w(x) = 24*x**3 + 91*x**2 - 74*x - 41. Let s(f) = 11*p(f) - 2*w(f). Factor s(q).
(q - 1)*(q + 3)*(7*q + 2)
Suppose -1682/5 - 116/5*p - 2/5*p**2 = 0. What is p?
-29
Let u = 283 + -283. Let x(y) be the second derivative of 0*y**3 + 0*y**4 - 1/90*y**6 + u + 0*y**2 - 1/30*y**5 - 2*y. Solve x(l) = 0 for l.
-2, 0
Let t = 14 + -10. Suppose -u + 7*h - t*h = -5, 4*u - 30 = 2*h. Suppose 0*d - u*d - 4*d**3 - 6*d - 16*d**2 + 4*d**4 - 4 + 2*d**5 = 0. Calculate d.
-1, 2
Let t(h) be the third derivative of h**7/2205 + 2*h**6/315 + 11*h**5/630 - 2*h**4/63 - 4*h**3/21 - 38*h**2 - h. Determine q so that t(q) = 0.
-6, -2, -1, 1
Let b(a) be the second derivative of a**5/100 - a**4/10 + 3*a**3/10 + 3*a**2/2 + 25*a. Let t(q) be the first derivative of b(q). Factor t(y).
3*(y - 3)*(y - 1)/5
Let m(k) be the second derivative of -k**8/84 + k**6/10 + 2*k**5/15 + 5*k**2/2 + 5*k. Let i(r) be the first derivative of m(r). Factor i(v).
-4*v**2*(v - 2)*(v + 1)**2
Let a(f) = -1 + 3*f**2 - 3*f + 2*f - 3*f**2 + 3*f**2 - 2*f**2. Let u(x) = -11 - 3*x + 10*x**2 + 0 - 6*x. Let j(q) = -44*a(q) + 4*u(q). Factor j(k).
-4*k*(k - 2)
Let g(u) = u**2 - 5*u + 2. Let d be g(4). Let y be (-17)/(-4) - d/(-8). Factor 6*n**2 - y*n**4 + 21*n**3 - 3 + 19*n**4 + 3.
3*n**2*(n + 1)*(5*n + 2)
Let a be 1*-2 + ((-1430)/60)/(-11). Let o(v) be the first derivative of a*v**3 + 3 + 1/4*v**2 - v. Factor o(y).
(y - 1)*(y + 2)/2
Let j(s) = s**2 - 16*s - 17. Let w(m) = 4*m**2 - 80*m - 84. Let q(u) = -14*j(u) + 3*w(u). Let n be q(-7). Let n - 2/7*v**2 - 4/7*v = 0. Calculate v.
-2, 0
Suppose 4*u + 2*p + 1 = 17, 5*u = -5*p + 10. Suppose 14 = 4*x + u. Solve 8*m**4 + 2 - 4*m**x - 16*m**4 + 10*m**4 = 0.
-1, 1
Factor 3*w**3 - 71*w**2 + 9*w**2 - 2*w**3 - 63*w.
w*(w - 63)*(w + 1)
Let c(x) = x**3 + 14*x**2 + 24*x + 2. Let q be c(-12). Factor 5*y**4 + 27*y - 11 - 67*y - 20*y**2 - 9 + 10*y**3 + 5*y**q.
5*(y - 2)*(y + 1)**2*(y + 2)
Let m(v) = -17*v**4 - 270*v**3 - 505*v**2 - 260*v. Let a(y) = -6*y**4 - 90*y**3 - 168*y**2 - 87*y. Let g(f) = 8*a(f) - 3*m(f). Suppose g(r) = 0. Calculate r.
-28, -1, 0
Solve 17/3*v**2 + 64/3 + 1/3*v**3 + 80/3*v = 0 for v.
-8, -1
Let s = 15273 + -15267. Suppose 0 = -2*i + 5*q + 5, 65 = -i + 4*i + 4*q. Factor -s*m + 3/5*m**2 + i.
3*(m - 5)**2/5
Let l be (4/(-6))/((-4)/(-21))*-2. Let p be l/2 + (1 - 4). Find u, given that p*u**3 + 0 + 1/2*u + 5/4*u**2 = 0.
-2, -1/2, 0
Let g be 10 + 566/(-72) + 2/18. Solve -g*j**2 + 0 - 3/4*j**3 - 3/2*j = 0 for j.
-2, -1, 0
Let k(p) be the second derivative of 4/35*p**6 + 0 + 2*p + 0*p**2 - 2/147*p**7 + 8/21*p**4 + 0*p**3 - 12/35*p**5. Suppose k(t) = 0. What is t?
0, 2
Let q(n) be the second derivative of 29*n + 0*n**2 + 2/3*n**3 - 1/10*n**5 + 1/6*n**4 + 0. Factor q(d).
-2*d*(d - 2)*(d + 1)
Let u(f) = f**3 + f**2 + f + 1. Let s(b) be the second derivative of b**6/30 - b**5/4 + b**4/3 - b**3/2 - b**2/2 + b. Let y(d) = -3*s(d) - 3*u(d). Factor y(m).
-3*m*(m - 2)*(m - 1)**2
Let g be 1/((-36)/(-16) + -2). Suppose 0 = o + 1, 7 = g*l - 2*o - 91. Factor -15*s**2 - l*s + 4*s**3 - 4*s**3 - 3*s**3 - 12.
-3*(s + 1)*(s + 2)**2
Let z(t) be the second derivative of -5/2*t**3 - 5*t - 1/4*t**4 - 6*t**2 + 0. Factor z(c).
-3*(c + 1)*(c + 4)
Let c be 48/30 + 65/(-650). Determine t so that -t - c*t**2 + 1/2 = 0.
-1, 1/3
Let w be 1/(6*6/36)*0. Factor w*k - 1/3*k**2 + 4/3.
-(k - 2)*(k + 2)/3
Let v(m) be the second derivative of -2*m**7/21 + 2*m**6/3 - 4*m**5/5 - 16*m**4/3 + 64*m**3/3 - 32*m**2 - m + 20. Suppose v(y) = 0. Calculate y.
-2, 1, 2
Let i(n) = -12*n**2 + 228*n - 208. Let l(j) = -4*j**2 + 76*j - 69. Let u(x) = 3*i(x) - 8*l(x). Factor u(h).
-4*(h - 18)*(h - 1)
Let s = 86 - 43. Let u = -20 + s. Determine q so that -q**3 + 3*q - 26*q**4 + u*q**4 + 4*q**2 - 2*q**3 - q**2 = 0.
-1, 0, 1
Solve 0 + 16/7*m**2 - 12/7*m - 4/7*m**3 = 0.
0, 1, 3
Let k be 2/(-4) + 10/20. Suppose 5*y - 10 = 0, -3*n + 0*y + 3*y + 3 = k. Determine x, given that 3*x**2 - 5*x - 10 + 2*x - x**n + 11 = 0.
1
Let o(w) = -3*w**2 - 17*w + 12. Let v(x) = 3*x**2 + 2*x + 1. Let u(m) = o(m) + 2*v(m). Let u(g) = 0. What is g?
2, 7/3
Find i such that -13520 - 5*i**2 - 164*i - 316*i + 97*i - 137*i = 0.
-52
Suppose 90*h = 226*h. Factor h*y + 3/5*y**4 - 8/5*y**2 + 2*y**3 + 0.
y**2*(y + 4)*(3*y - 2)/5
Let t(z) = z**3 + 5*z**2 + 2*z - 6. Let s be t(-2). Factor -7*m**s + 29*m**2 - 44*m - 18*m**2 - 48.
4*(m - 12)*(m + 1)
Let w = 381/7 + -755/14. Let s(k) be the first derivative of 0*k**2 + 0*k - 9/4*k**4 + w*k**3 - k**6 + 27/10*k**5 + 1. Solve s(j) = 0.
0, 1/4, 1
Let f(u) be the third derivative of 0*u - 1/480*u**6 + 1/60*u**5 + 0*u**4 + 27*u**2 + 0*u**3 + 0. Find r, given that f(r) = 0.
0, 4
Let h(z) be the first derivative of 5/3*z**3 - 5*z - 11 + 1/2*z**2 - 1/4*z**4. Suppose h(t) = 0. Calculate t.
-1, 1, 5
Let p(x) be the first derivative of -4*x**5/5 + 11*x**4 + 68*x**3/3 - 126*x**2 + 144*x + 32. Factor p(y).
-4*(y - 12)*(y - 1)**2*(y + 3)
Let t(r) be the first derivative of -2*r**3/21 - 18*r**2/7 - 34*r/7 - 22. What is w in t(w) = 0?
-17, -1
Suppose 4*d + 352 - 364 = 0. Let n(l) be the first derivative of 1/9*l**d + 1/3*l**2 + 1/3*l - 4. Factor n(g).
(g + 1)**2/3
Let b(p) be the first derivative of -p**4/20 + 3*p**3/5 - p**2/5 - 48*p/5 - 220. Suppose b(f) = 0. Calculate f.
-2, 3, 8
Let y(d) be the second derivative of d**5/230 - 4*d**4/23 - 52*d**3/69 + 810*d. Factor y(s).
2*s*(s - 26)*(s + 2)/23
Let t(p) be the first derivative of p**8/1680 - p**7/840 - p**6/360 + p**5/120 - p**3 - 33. Let o(q) be the third derivative of t(q). Factor o(c).
c*(c - 1)**2*(c + 1)
Let k be ((-34)/8 + 4)/(1/(-12)). Factor 24 + 2*i**3 - 16*i + 0*i**2 - k*i**2 + i**2.
2*(i - 2)**2*(i + 3)
Let d(o) be the first derivative of o**7/1260 + o**6/144 + o**5/40 + 7*o**4/144 + o**3/18 - 4*o**2 - 1. Let z(s) be the second derivative of d(s). Factor z(i).
(i + 1)**3*(i + 2)/6
Factor 22*a + 2*a**3 + 70*a**4 + 0*a**3 - 72*a**4 - 2 + 2 + 8 + 18*a**2.
-2*(a - 4)*(a + 1)**3
Let b(c) be the second derivative of -2*c**2 - c**3 - 1/6*c**4 + 0 + c. Factor b(p).
-2*(p + 1)*(p + 2)
Let g = 31604/3 + -10534. Find u such that g*u**5 + 2/3*u**4 - 2/3*u**2 - 2*u**3 + 0 + 4/3*u = 0.
-2, -1, 0, 1
Let i(u) be the second derivative of -u**7/231 