. Solve -2/9*w**4 + 0 + 2/9*w**2 - 8/9*w**f + 8/9*w = 0.
-4, -1, 0, 1
Let q = -1385 - -1249. Let p = q - -139. Solve 1/3*h + 1/3*h**2 - 1/3*h**p - 1/3*h**4 + 0 = 0 for h.
-1, 0, 1
Suppose -4*r - g = -97 - 62, -5*r + g = -210. Factor 3*v - 7*v**4 - 25*v**3 + 72*v**2 - 3*v**5 - r*v**3 - 30*v + 31*v**4.
-3*v*(v - 3)**2*(v - 1)**2
Let a(d) be the second derivative of -d**7/1260 + d**6/108 - d**5/45 - 59*d**3/6 - d**2 + 39*d. Let o(c) be the second derivative of a(c). Factor o(s).
-2*s*(s - 4)*(s - 1)/3
Let v(u) = 3 - 80*u + 77*u - 10. Let n be v(-3). Solve -3*j**3 + 7*j + 3*j**2 + 17 + 0*j**n - 23 - j**4 = 0 for j.
-3, -2, 1
Suppose -204*v = -198*v - 1062. Let c = v + -1234/7. Solve 5/7*s**2 + 3/7*s**5 - c*s**3 - 5/7*s**4 + 2/7*s + 0 = 0 for s.
-1, -1/3, 0, 1, 2
Let f = -6570970/9 + 730108. Find v such that -46/9*v + 22/9 - f*v**3 + 26/9*v**2 = 0.
1, 11
Let w(b) = 70*b**3 - 5*b**2 + 6*b - 4. Let v be w(2). Let g = 1097/2 - v. Let -g*i**2 + 1/3 + 1/6*i**3 + 1/6*i**4 - 1/6*i = 0. What is i?
-2, -1, 1
Let t be (-72)/80 + (-12)/(-8). Let k = -113 - -113. Find m such that -t*m**2 + 3/5*m + k = 0.
0, 1
Let g(z) be the second derivative of z**5/4 + 65*z**4/6 - 275*z**3/6 + 70*z**2 - 4093*z. Determine n so that g(n) = 0.
-28, 1
Determine h so that 2/3*h**2 + 412/3*h + 410/3 = 0.
-205, -1
Let x(r) be the first derivative of -r**4/9 + 164*r**3/27 + 170*r**2/9 + 172*r/9 - 2287. Let x(n) = 0. What is n?
-1, 43
Let v be (-120)/120*(-1 + (-5)/(-5)). Factor v + 1/5*f**4 - 2/5*f + f**2 - 4/5*f**3.
f*(f - 2)*(f - 1)**2/5
Let n(y) be the first derivative of 0*y + 1/300*y**5 + 0*y**4 + 14 + 0*y**3 + 25/2*y**2. Let c(t) be the second derivative of n(t). Factor c(b).
b**2/5
Let 64/3 - 742/3*y**2 - 88/3*y - 8*y**4 + 286/3*y**3 = 0. What is y?
-1/3, 1/4, 4, 8
Let r(v) be the first derivative of 6/7*v**3 - 1/4*v**4 + 0*v + 17*v**2 + 1/70*v**5 - 4. Let s(a) be the second derivative of r(a). Factor s(n).
6*(n - 6)*(n - 1)/7
Let s(a) be the first derivative of 16/27*a**3 - 4/9*a + 1/6*a**4 + 78 + 1/3*a**2. Factor s(r).
2*(r + 1)*(r + 2)*(3*r - 1)/9
Let i(g) be the third derivative of -g**5/450 - 113*g**4/45 - 51076*g**3/45 - 170*g**2 - 4. Determine o so that i(o) = 0.
-226
Let a(x) = -88*x**2 + 958*x + 455. Let i(m) = -53*m**2 + 575*m + 274. Let p(c) = -8*a(c) + 13*i(c). Factor p(o).
3*(o - 13)*(5*o + 2)
Let q = -233 - -238. Factor -450 - 462 + 65*k**2 + 5*k**3 + 847 - q*k.
5*(k - 1)*(k + 1)*(k + 13)
Let k(w) = 23*w**2 - 1124*w - 1115. Let u(l) = 189*l**2 - 8994*l - 8919. Let c(f) = 33*k(f) - 4*u(f). Suppose c(h) = 0. What is h?
-1, 373
Let z(s) be the second derivative of s**3 + 0 - 1/42*s**7 + 1/10*s**6 + 17/12*s**4 - 187*s + 0*s**2 + 3/4*s**5. Find u, given that z(u) = 0.
-1, 0, 6
Let q(t) be the second derivative of 7*t**6/30 + 51*t**5/20 + 21*t**4/2 + 58*t**3/3 + 12*t**2 - 9124*t. Factor q(y).
(y + 2)**2*(y + 3)*(7*y + 2)
Factor -492/7 + 3/7*w**2 - 489/7*w.
3*(w - 164)*(w + 1)/7
Let b = -97 + 99. Factor 2*q**5 - 5*q**3 + 5*q**5 - 32*q**b + 8*q**4 - 3*q**5 - 16*q - 7*q**3.
4*q*(q - 2)*(q + 1)**2*(q + 2)
Let n(l) be the third derivative of l**7/15120 - 19*l**6/2160 + 37*l**5/720 - 13*l**4/4 + 39*l**2 + 4*l. Let z(r) be the second derivative of n(r). Factor z(k).
(k - 37)*(k - 1)/6
Let w(k) be the second derivative of k**6/6 + 9*k**5 + 395*k**4/6 + 70*k**3 - 1395*k**2/2 + 60*k - 7. Determine h, given that w(h) = 0.
-31, -3, 1
Let b be (-63)/(-120) + 6/(-15). Let w = -49252 + 49255. Factor -1/4*a**w + 1/8*a**4 + b*a**2 + 0*a + 0.
a**2*(a - 1)**2/8
Let y = -163/10 + 341/20. Let k(r) be the second derivative of 0*r**3 + 0 + 0*r**2 + 4*r + 5/12*r**4 + 1/2*r**6 + y*r**5 + 5/42*r**7. Let k(q) = 0. Calculate q.
-1, 0
Let m(t) be the first derivative of 93*t**4/4 - 33*t**3 + 3*t**2 + 4526. Solve m(d) = 0.
0, 2/31, 1
Let f(t) be the third derivative of -t**6/360 - 1351*t**5/180 - 56953*t**4/9 + 228488*t**3/9 + 4*t**2 + 234. Determine x so that f(x) = 0.
-676, 1
Suppose j - 204 = -202. Find l, given that 18 + 36*l + 4*l**j + 13 + 1 = 0.
-8, -1
Let v = -284 - -285. Let b(i) = -2. Let c(u) = 12*u**4 - 32*u**3 + 24*u**2 + 20. Let s(d) = v*c(d) + 12*b(d). Solve s(k) = 0 for k.
-1/3, 1
Let s(d) be the third derivative of d**6/90 + 11*d**5/45 - 40*d**4/3 + 184*d**3 - 1104*d**2 - 2*d. Factor s(p).
4*(p - 6)**2*(p + 23)/3
Let m(v) = 3*v**2 + 15*v - 13. Let w be m(-6). Find r such that -26*r**3 + 2*r**w + 13*r**2 + 3*r**4 - 13*r**2 + 27*r**3 = 0.
-1, -1/2, 0
Suppose 0 = 107*g - 15*g - 276. Let h(n) be the first derivative of -10 + 2/9*n**g - 4/3*n**2 + 2*n. Let h(v) = 0. What is v?
1, 3
Let r(z) be the second derivative of -z**5/4 + 35*z**3/6 + 15*z**2 - 2124*z. Factor r(c).
-5*(c - 3)*(c + 1)*(c + 2)
Let c(b) be the third derivative of -b**5/30 + 17*b**4/4 - 230*b**3/3 - 7*b**2 - 80*b + 1. Find v such that c(v) = 0.
5, 46
Factor 1002*i**2 + 540 - 1774*i**2 + 877*i**2 + i**3 + 2*i**3 + 468*i.
3*(i + 2)*(i + 3)*(i + 30)
Suppose -24*j - 6 = -27*j. Factor -16*x**3 - 11*x**3 + 23*x**3 + 4*x**j.
-4*x**2*(x - 1)
Let i = 45 + -76. Let a = 34 + i. Suppose 0*d**3 - 2*d**a - 2*d**3 + 16*d - 56*d**2 + 14*d**4 = 0. Calculate d.
-2, 0, 2/7, 2
Let s = -3074425/2 + 1537297. Suppose 0 = -5*k + 14 - 4. Let -1/2*f**k - 13*f - s = 0. Calculate f.
-13
Let d(k) be the first derivative of 0*k + 1/10*k**5 - 4/3*k**3 - 7/8*k**4 + 0*k**2 + 190. Factor d(a).
a**2*(a - 8)*(a + 1)/2
Suppose -12 = -3*a, 10 = -u - a + 4*a. Find k, given that -3*k**2 + 0*k + 2*k + u + 24*k**3 - 23*k**3 - 3*k + k**4 = 0.
-2, -1, 1
Let p(w) be the second derivative of w**6/840 + 23*w**5/420 - w**4/7 - 10*w**2 - w - 54. Let k(v) be the first derivative of p(v). Factor k(x).
x*(x - 1)*(x + 24)/7
Let h(b) be the third derivative of 2/21*b**3 + 0*b + 6*b**2 + 1/35*b**5 - 1/14*b**4 + 13 - 1/210*b**6. Find l, given that h(l) = 0.
1
Let k(q) be the third derivative of -q**6/80 - 11*q**5/5 - 85*q**4/16 + 87*q**3/2 + 2592*q**2. Let k(a) = 0. What is a?
-87, -2, 1
Let x(h) be the second derivative of -1/20*h**6 - 27*h**2 + 3/4*h**5 + 15*h**3 + 8 - 37/8*h**4 - 10*h. Let x(m) = 0. Calculate m.
2, 3
Let k(d) be the third derivative of -d**6/30 + 3*d**5/5 - 4*d**4/3 + d**2 - 217*d. Factor k(o).
-4*o*(o - 8)*(o - 1)
Let b(z) = 8*z**2 + 18*z - 24. Let t be b(15). Factor 562 - 131*h - 99*h - t - 5*h**2 - 1161.
-5*(h + 23)**2
Let n(g) = 5*g**2 + 12*g + 17. Let k be n(-2). Suppose k*d + 4 = 11*d + b, -5*b = -3*d - 20. Let d + 13/4*x**2 + 1/2*x = 0. What is x?
-2/13, 0
Suppose 140*a - 167*a = 274*a - 602. Let h(u) be the second derivative of -1/3*u**3 - 6/7*u**a + 0 - 25*u - 1/42*u**4. Determine p so that h(p) = 0.
-6, -1
Let f(k) = -k**2 - 7*k + 62. Let m be f(5). Let -1 + 9859*t**3 - 15834*t**m + 6703*t**3 - 7 - 720*t = 0. Calculate t.
-2/91, 1
Let m be 12/(-2) + (-5863)/(-533). Let 2*g**4 + 6*g**2 + 9/4*g + 0 + 1/4*g**m + 11/2*g**3 = 0. Calculate g.
-3, -1, 0
Let y(g) be the third derivative of -g**6/180 - 53*g**5/90 + 25*g**4/4 - 19*g**3 + 12918*g**2. Factor y(r).
-2*(r - 3)*(r - 1)*(r + 57)/3
Suppose 14*o - 16 = 6*o. Find u, given that 8*u**2 - 2 + 10*u**3 - 26*u**3 + o*u**3 + 12*u**2 - 6 + 2*u = 0.
-4/7, 1
Let m(z) be the first derivative of z**6/540 + 2*z**5/45 + 4*z**4/9 + 64*z**3/27 - z**2/2 - 114. Let v(c) be the second derivative of m(c). Factor v(o).
2*(o + 4)**3/9
Suppose 12*k = 15*k - r - 8, -3*k + 5*r = -40. Factor 0*a**2 + 0*a - 6/7*a**4 + 8/7*a**3 + k - 2/7*a**5.
-2*a**3*(a - 1)*(a + 4)/7
Let g be ((-57)/6)/19 - -7*13. Let n = g - 3435/38. Suppose -n*a**3 + 2/19*a**2 - 2/19 + 2/19*a = 0. Calculate a.
-1, 1
Let c(o) be the first derivative of -129 - 180*o**2 + 45*o**4 - 80*o + 235/3*o**3 + 5*o**5. Find t such that c(t) = 0.
-4, -1/5, 1
Let h(z) = -22*z**2 - 628*z - 496. Let r(g) = 26*g**2 + 628*g + 496. Let d(j) = 4*h(j) + 3*r(j). Factor d(a).
-2*(a + 62)*(5*a + 4)
Let f(m) = -7*m - 229. Let y be f(-33). Suppose 0 = -5*s - 5*u + 9 - 19, 0 = 4*s + y*u. Find b such that 25/3*b**s - 10/3*b + 1/3 = 0.
1/5
Let c(t) = 52*t**3 + 668*t**2 + 872*t + 268. Let f(i) = 21*i**3 + 268*i**2 + 349*i + 107. Let r(b) = -5*c(b) + 12*f(b). Factor r(d).
-4*(d + 1)*(d + 14)*(2*d + 1)
Let w(f) be the second derivative of -f**7/168 + 7*f**6/120 - 19*f**5/80 + 25*f**4/48 - 2*f**3/3 + f**2/2 - 4*f + 17. Factor w(v).
-(v - 2)**2*(v - 1)**3/4
What is x in 30 - 9/5*x*