 Determine x, given that -126/11*x**4 + 48/11*x**n - 8/11 + 94/11*x**2 - 8/11*x = 0.
-2/3, -2/7, 1/3, 1
Let m(o) = -18*o**2 - 326*o - 306. Let j be m(-1). Factor 3/5*x**j + 54*x + 1215.
3*(x + 45)**2/5
Suppose 49 + 21 = 14*i. Let m**2 - 75 + 40*m - 5*m**2 + 4*m**2 - i*m**2 = 0. Calculate m.
3, 5
Factor 189*x**2 + 15 + 183*x - 262*x**3 + 331*x**3 + 3*x**4 + 60 - 15.
3*(x + 1)**3*(x + 20)
Factor 334890 + 5/4*h**3 - 1825/2*h**2 + 165615*h.
5*(h - 366)**2*(h + 2)/4
Let p = 5002 + -4830. Let n = -66 + 170. Let 84*z**4 - 164*z**3 + p*z**2 + z - 8 - n*z**2 + 19*z = 0. Calculate z.
-1/3, 2/7, 1
Let c(r) be the first derivative of -r**7/70 - r**6/8 - 2*r**5/5 - r**4/2 + r**2 + 3*r + 24. Let j(h) be the second derivative of c(h). Factor j(v).
-3*v*(v + 1)*(v + 2)**2
Let n be -3 + (-138)/(-48) + (-26)/(3952/(-323)). What is u in u - 1/2*u**2 - 1/4*u**3 + n = 0?
-2, 2
Factor -8364*v - 47*v**3 - 555984 + 2*v**4 - 5*v**4 + 590664 - 4050*v**2 - 166*v**3.
-3*(v - 2)*(v + 5)*(v + 34)**2
Factor 3*d**4 + 411436 - 205720 - 45*d**3 - 378*d**2 - 205716.
3*d**2*(d - 21)*(d + 6)
Suppose 0 = 2*x + 3*p - 64, -4*x - 7*p + 148 = -6*p. Let f = 40 - x. Solve -16*y**4 - 20*y**3 + 34*y**f - 22*y**2 + 21*y + 4 + 0*y**3 - y = 0 for y.
-1, -1/4, 1
Find r, given that -3/5*r**2 + 81/5*r + 54 = 0.
-3, 30
Let l(m) be the second derivative of m**4/12 - 65*m**3/6 - 333*m**2 + 128*m. Solve l(n) = 0 for n.
-9, 74
Factor 30/7*m**3 + 414/7*m + 216/7 + 204/7*m**2.
6*(m + 3)**2*(5*m + 4)/7
Let f(o) be the first derivative of 2/3*o - 1/9*o**3 + 1/6*o**2 + 48. Suppose f(m) = 0. What is m?
-1, 2
Let 175/3*j**3 + 0 - 100*j + 5/3*j**5 + 55/3*j**4 + 65/3*j**2 = 0. What is j?
-5, -4, -3, 0, 1
Let w be ((-48)/7)/((-120)/28 + 4). Find v, given that 12*v**4 + 120*v**3 - 12*v**2 + 64*v**2 - 80*v + w*v**4 + 2 + 14 = 0.
-2, 1/3
Let k be (-56)/(-15) + 12/135*2034/(-452). Determine v so that -194/3*v**2 - 880/3*v - k*v**3 + 200 = 0.
-10, 3/5
Let t(u) be the first derivative of 1/24*u**4 - 25 + 4*u**2 - 32/3*u - 2/3*u**3. Solve t(x) = 0 for x.
4
Let q be 14/(-3)*90/(-20). Suppose -5*v - 2 = -9*p + 5*p, 0 = 5*p + 3*v - q. Factor 4*d + 8/3*d**2 - 16/3*d**p - 8/3 + 4/3*d**5 + 0*d**4.
4*(d - 1)**3*(d + 1)*(d + 2)/3
Let 96*s + 36*s**2 - 19081 + 2*s**3 + 19161 + 2*s**3 = 0. What is s?
-5, -2
Let p(f) be the second derivative of 3*f**5/20 - 25*f**4/4 + 61*f**3 + 528*f**2 + 3000*f. Solve p(l) = 0.
-2, 11, 16
Let f be (3/((-81)/48))/(((-2911)/123)/71). Factor 0 + 40/3*b**2 + f*b + 11*b**3 + 10/3*b**4 + 1/3*b**5.
b*(b + 1)**2*(b + 4)**2/3
Let s(q) = -q**3 + 5*q**2 + 38*q - 168. Let p be s(7). Let v = -428 - -430. Find y, given that 0 + 2/3*y**5 + 0*y**4 + 0*y**v + 0*y**3 + p*y = 0.
0
Let u = 16488 - 16461. Let p(q) be the third derivative of -3/8*q**4 + 0*q + 1/10*q**5 + u*q**2 + 0 + 0*q**3 + 1/40*q**6. Let p(l) = 0. Calculate l.
-3, 0, 1
Let o = -4077 + 15737. Factor q**3 - o + 11656 - 6*q - 2*q**2 - q.
(q - 4)*(q + 1)**2
Let n = 335398 + -335398. Factor -5/2*h**2 + n - 9/4*h - 1/4*h**3.
-h*(h + 1)*(h + 9)/4
Let r(d) be the first derivative of -d**3/36 - 79*d**2/24 - 259*d/2 + 7704. Suppose r(g) = 0. What is g?
-42, -37
Let z(u) be the third derivative of 15*u**8/112 + 67*u**7/14 + 787*u**6/24 - 1219*u**5/4 + 855*u**4 - 3610*u**3/3 + 491*u**2. Determine g, given that z(g) = 0.
-38/3, 1
Let b(m) = -m**2 + 8*m + 10. Let q be b(9). Let t be (q - -2) + (-1)/(-3 + 4). Factor 0 + 6 - 6*o**2 + 6*o**2 - 2*o**t - 5*o + o**3.
(o - 3)*(o - 1)*(o + 2)
Determine t so that -380 + 6*t + 5*t**3 - 10*t + 95*t**2 - 12*t - 4*t = 0.
-19, -2, 2
Let z(c) be the second derivative of c**7/21 + 401*c**6/60 + 5*c**5/2 + 36*c - 56. Factor z(j).
j**3*(j + 100)*(4*j + 1)/2
Let r(g) be the second derivative of g**7/21 + g**6/5 - 2*g**4/3 - 2145*g. Let r(y) = 0. What is y?
-2, 0, 1
Let n(k) be the third derivative of 1/18*k**6 + 0 + 3/8*k**5 + 0*k - 5/2*k**3 + 5/12*k**4 - 15*k**2. Let d(r) be the first derivative of n(r). Factor d(b).
5*(b + 2)*(4*b + 1)
Let t(s) be the second derivative of s**6/360 - s**5/120 - 5*s**4/6 + 107*s**3/6 - 22*s + 2. Let a(m) be the second derivative of t(m). Factor a(j).
(j - 5)*(j + 4)
Solve 689*g + 2016*g + 3*g**2 - 716*g + 1986 = 0.
-662, -1
Suppose 2*s + 14 = 18. Suppose 121 + 19 + 152*k - 5*k**s - 92*k = 0. What is k?
-2, 14
Let 1/5*z**5 - 864/5*z**2 + 72*z**3 - 34/5*z**4 + 0 - 3456/5*z = 0. What is z?
-2, 0, 12
Factor -20/13*h - 2/13*h**2 + 342/13.
-2*(h - 9)*(h + 19)/13
Let o(f) be the second derivative of -f**6/330 - 7*f**5/110 - 35*f**4/132 - f**3/3 - 35*f - 3. Factor o(u).
-u*(u + 1)*(u + 2)*(u + 11)/11
Let -2*y - 19/7*y**2 - 4/7*y**3 + 1/7*y**4 + 0 = 0. Calculate y.
-2, -1, 0, 7
Let 50*c - 285*c + 270 + 2*c**3 + 49*c - 86*c**2 = 0. Calculate c.
-3, 1, 45
Let a(h) be the second derivative of h**5/30 - h**4/18 - 2*h**3/9 + 254*h + 1. Let a(z) = 0. What is z?
-1, 0, 2
Let x(h) be the first derivative of -h**8/840 - h**7/105 - h**6/180 + h**5/10 - 100*h**3/3 + 104. Let m(j) be the third derivative of x(j). Factor m(z).
-2*z*(z - 1)*(z + 2)*(z + 3)
Let c(x) be the third derivative of -1/420*x**5 + x**2 + 1/84*x**4 - 1/42*x**3 + 0*x - 10. Find a, given that c(a) = 0.
1
Suppose 21*t - 59 - 46 = 0. Suppose 9 = 3*r, -85 = -t*v + 5*r - 100. Factor -2/7*x**5 + 10/7*x**4 + v + 8/7*x**2 + 0*x - 16/7*x**3.
-2*x**2*(x - 2)**2*(x - 1)/7
Suppose u = 5*a - 7*a + 10, -14 = -2*a - 3*u. What is t in 676*t**2 - 48*t + 40*t**3 - 336*t**2 - 328*t**2 - 16 + 12*t**a = 0?
-2, -1/3, 1
Suppose -1161 = -289*q - 1161. Solve 3/5*p**4 + 12*p + q - 33/5*p**3 + 24/5*p**2 = 0.
-1, 0, 2, 10
Let g(t) be the first derivative of t**5/35 - 19*t**4/28 - 2*t**3 + 2609. Solve g(j) = 0 for j.
-2, 0, 21
Let b(a) be the third derivative of a**8/378 + 127*a**7/1890 + 10*a**6/27 + 83*a**5/135 - 2*a**4/9 - 7027*a**2. Solve b(y) = 0 for y.
-12, -2, 0, 1/8
Let t(b) = 2*b**3 + 857*b**2 + 436*b. Let v(d) = -2*d**3 + d**2 - d. Let y(s) = -t(s) - 4*v(s). Factor y(k).
3*k*(k - 144)*(2*k + 1)
Let r(q) = q**2 - 36*q + 51. Let c be r(35). Suppose -c*w + 29*w = 52. Suppose 0 + 3/4*t + 3/2*t**w - 3/4*t**5 - 3/2*t**2 + 0*t**3 = 0. Calculate t.
-1, 0, 1
Let k(t) be the first derivative of t**4 - 92*t**3 - 2*t**2 + 276*t - 1145. Solve k(i) = 0.
-1, 1, 69
Let -38/9*y + 2/9*y**2 - 80/3 = 0. Calculate y.
-5, 24
Factor 88*h - 80/3 - 49/3*h**3 - 63*h**2.
-(h + 5)*(7*h - 4)**2/3
Let a be (-10)/(-25) + (-299962)/(-695). Determine l, given that a + 4/3*l**2 - 48*l = 0.
18
Let l be -1 + 22/14 - (143440/(-1400))/163. Suppose 4/5*p**3 + l*p**2 + 2/15*p**4 + 0*p + 0 = 0. Calculate p.
-3, 0
Suppose -3*t - 60 = 3*j + 18, -3*j + 3*t - 66 = 0. Let z be 13/(117/j)*(-3)/2. Factor -6*x**3 - 26*x - x**4 - x**z + 24*x - 2*x**2 - 4*x**2.
-2*x*(x + 1)**3
Determine h so that -787/6*h**2 + 97/3*h**3 + 494/3*h - 66 + 1/6*h**4 = 0.
-198, 1, 2
Let s(k) = 17927*k + 71710. Let n be s(-4). Factor 28/3 + 2/3*q**n + 6*q.
2*(q + 2)*(q + 7)/3
Let x(n) = n - 15. Let t be x(28). Let -4*f**3 - 5 + t*f + 9*f**3 + 53*f**2 - 1 + 9*f**4 + 38*f**3 = 0. What is f?
-3, -1, 2/9
Let k(g) be the second derivative of -g**5/10 - 3*g**4 - 29*g**3 - 110*g**2 - 5*g - 6. Suppose k(c) = 0. Calculate c.
-11, -5, -2
Suppose -2*n + 425 - 669 = 0. Let t = n + 612/5. Solve 0 + 4/5*x**2 - 4/5*x**4 + 2/5*x**5 + 0*x**3 - t*x = 0 for x.
-1, 0, 1
Suppose -784 - 108 = -223*l. Factor -l*r - 1/8*r**4 + 7/8*r**3 - 3/4*r**2 + 4.
-(r - 4)**2*(r - 1)*(r + 2)/8
Let c(l) = l**3 - 4*l**2 - l - 17. Let p be c(5). Factor -6*a**3 - 9*a**2 + a**3 - 16*a - 6*a**2 - a**2 + a**p.
-4*a*(a + 2)**2
Let c(y) be the first derivative of y**6/18 + 3*y**5/5 - 21*y**4/4 + 95*y**3/9 - 7*y**2 - 463. Suppose c(l) = 0. What is l?
-14, 0, 1, 3
Let l(w) = -12*w - 10. Let d be l(0). Let t be (-126)/d + -13 - 56/(-90). Determine m, given that 2/9*m**2 + 0*m - 2/9*m**5 + 2/9*m**3 - t*m**4 + 0 = 0.
-1, 0, 1
Determine v so that 71/11*v + 95/11 - 23/11*v**2 + 1/11*v**3 = 0.
-1, 5, 19
Let a(v) be the third derivative of -v**5/80 + 683*v**4/4 - 932978*v**3 - 27*v**2 + 3. Factor a(h).
-3*(h - 2732)**2/4
Let b(s) be the third derivative of s**5/180 - 47*s**4/72 - 34*s**3/3 - 574*s**2. Factor b(n).
(n - 51)*(n + 4)/3
Let d(t) be the second derivative of -1/12*t**4 + 11*t + 0 - 1/6*t**3 + 10*t**2. Solve d(n) = 0 for n.
-5, 4
Let r(n) be the second derivative of 112*n + 