). Find y, given that 0 - y**3 + 0*y**4 + 0*y + t*y**5 - 2/3*y**2 = 0.
-1, 0, 2
Let m = 1812034/13 + -139384. Factor -m*v**2 - 4/13 - 2*v.
-2*(3*v + 1)*(7*v + 2)/13
Let k = 136235/24 + -34025/6. Factor -21/8*r**3 + k*r**2 + 3/2 - 39/8*r + 3/8*r**4.
3*(r - 4)*(r - 1)**3/8
Let g(i) be the first derivative of i**6/8 + 3*i**5/2 - 21*i**4/8 - 115*i**3 - 5025*i**2/8 - 2625*i/2 - 246. Find t such that g(t) = 0.
-5, -2, 7
Let y(a) = -a**3 + a**2 - 3*a. Let u(o) = o**3 + 2*o**2 + 47*o + 36. Let l(t) = -u(t) - 2*y(t). Factor l(q).
(q - 9)*(q + 1)*(q + 4)
Let j(v) be the first derivative of -v**3/3 - 13*v**2/2 - 40*v + 745. Determine c so that j(c) = 0.
-8, -5
Suppose 2/13*j**3 - 11520/13 - 148/13*j**2 - 2752/13*j = 0. Calculate j.
-8, 90
Let z(y) be the third derivative of -y**5/510 + y**4/34 - 5*y**3/51 - 855*y**2 - 2*y. What is g in z(g) = 0?
1, 5
Let v(i) = -13*i**3 + 372*i**2 - 5658*i + 28552. Let p(m) = 6*m**3 - 183*m**2 + 2829*m - 14277. Let d(u) = 7*p(u) + 3*v(u). Let d(w) = 0. Calculate w.
9, 23
What is r in -1/2*r**2 + 6*r + 85/2 = 0?
-5, 17
Let m(p) be the third derivative of 196*p**2 + 1/420*p**6 - 1/210*p**5 + 0*p + 0*p**3 + 0 + 0*p**4. What is b in m(b) = 0?
0, 1
Let r be 30/24 - 20/56*420/200. Factor 0 + 5/2*j**3 - 5/2*j + r*j**2 - 1/2*j**4.
-j*(j - 5)*(j - 1)*(j + 1)/2
Let s(p) = -10*p**2 + 71*p - 286. Let l(o) = 48*o**2 - 354*o + 1428. Let f(w) = 3*l(w) + 14*s(w). Factor f(i).
4*(i - 10)*(i - 7)
Let j(u) be the second derivative of u**4/9 - 328*u**3/9 + 326*u**2/3 - 784*u. Factor j(i).
4*(i - 163)*(i - 1)/3
Let b be (-321)/(-2508) - 76/722. Let q(u) be the first derivative of -1/11*u**3 - 16 + 0*u - b*u**4 + 0*u**2. Factor q(n).
-n**2*(n + 3)/11
Determine d so that 1444 + 666*d + 6*d**2 + 5034*d + 1244*d**3 - 16*d**2 - 1240*d**3 - 293*d**2 = 0.
-1/4, 38
Let s(b) be the third derivative of b**6/6 - 29*b**5/10 + 167*b**4/12 - 10*b**3 + 2025*b**2. Suppose s(r) = 0. Calculate r.
1/5, 5/2, 6
Let k(r) be the third derivative of 0*r + 8/21*r**7 + 27*r**5 + 855/8*r**4 + 5/336*r**8 - 17 + 270*r**3 + 17/4*r**6 + 2*r**2. Factor k(d).
5*(d + 3)**4*(d + 4)
Let c(o) be the second derivative of 0 + 5/48*o**4 + 0*o**2 + 118*o - 7/12*o**3 + 1/80*o**5. Factor c(w).
w*(w - 2)*(w + 7)/4
Let s = -15/1091 + 3423/10910. Factor -1/10*u**4 - 3/10*u**3 + s*u + 1/10*u**2 + 0.
-u*(u - 1)*(u + 1)*(u + 3)/10
Suppose 0 = -3*l - o + 5, 2*l + 2 = -4*o + 2*o. Solve -40*r - 88*r**2 - 135*r**l - 104*r**2 - 25*r**4 + 42*r**2 = 0 for r.
-4, -1, -2/5, 0
Suppose 49/2 + a**2 + 99/2*a = 0. Calculate a.
-49, -1/2
Let l be (52/(-24)*-4)/((-2)/15). Let s = l - -68. Find j such that -1/4*j**4 + 0*j**2 + 1/2*j**s + 0 + 0*j = 0.
0, 2
Suppose -3*l = -0*d - 5*d + 944, -2*l = 4*d - 764. Suppose 586 + 876 + d*j + 343 + 5*j**2 = 0. Calculate j.
-19
Let k(s) = -3*s**2 + 6. Let b(a) = -3*a**2 + a + 5. Let w(z) = -9*z**2 + 2*z. Let l be w(2). Let d = l - -26. Let n(q) = d*b(q) + 5*k(q). Factor n(i).
3*i*(i - 2)
Let t(a) be the first derivative of -4*a**3/9 + 556*a**2 - 3332*a/3 - 8356. Factor t(n).
-4*(n - 833)*(n - 1)/3
Let u(i) be the third derivative of i**8/168 + 9*i**7/7 + 2107*i**6/20 + 112789*i**5/30 + 79507*i**4/2 + 3*i**2 - 113*i. Determine b, given that u(b) = 0.
-43, -6, 0
Let v(o) = 4*o**2 + 58*o + 109. Let j(n) = -22*n**2 - 344*n - 651. Let s(x) = 6*j(x) + 34*v(x). Factor s(u).
4*(u - 25)*(u + 2)
Let x be 12/4 + (1 - 2). Suppose 171*o - 93*o + 85 = 95*o. Suppose 0*n - 15/4*n**4 + 3/4*n**3 + 3/2*n**x + 3/2*n**o + 0 = 0. What is n?
-1/2, 0, 1, 2
Let f be ((-68398)/33)/(4/(-6)). Let b = -21727/7 + f. Let 12/7*x + b + 1/7*x**2 = 0. Calculate x.
-6
Suppose -54 + 42 = -4*g. Factor 1509*y**3 + 30*y + 5*y**4 + 75*y**2 - 1474*y**g + 35*y + 20.
5*(y + 1)**3*(y + 4)
Let k(c) be the second derivative of c**4/60 + 98*c**3/15 + 39*c**2/2 + 2239*c. Determine a, given that k(a) = 0.
-195, -1
Let s be (10 + -15)*-2*3/15. Suppose 4*a - 80 = s*g - 5*g, -g = 3*a - 25. Suppose 6*q**2 + 17*q**3 + 14*q**3 + 3*q**2 - g*q**3 = 0. What is q?
-3, 0
Let h(d) be the third derivative of d**8/53760 - d**7/1120 + 11*d**6/1920 - 3*d**5/10 + 32*d**2. Let s(r) be the third derivative of h(r). Factor s(g).
3*(g - 11)*(g - 1)/8
Suppose 0 = 9*q + 143 + 1. Let g be ((-20)/q)/((-4)/(-8)). Determine y, given that 5/4 + g*y + 5/4*y**2 = 0.
-1
Suppose -165 + 10 = -5*x + 5*a, -5*a = -5. Factor x + 17*u - 58*u + 7*u + 18*u + 2*u**2.
2*(u - 4)**2
Let z(p) be the first derivative of -1/8*p**3 + 3/16*p**2 + 3/8*p - 116 - 3/32*p**4. Factor z(k).
-3*(k - 1)*(k + 1)**2/8
What is c in 18*c**3 - 3/5*c**4 + 729/5*c**2 + 1332/5 + 348*c = 0?
-3, -2, 37
Let q(y) be the third derivative of -7/60*y**5 + 35 - 1/120*y**6 - 1/4*y**4 + 0*y + y**2 + 0*y**3. Solve q(t) = 0 for t.
-6, -1, 0
Let a = -6602 + 6605. Let q(y) be the second derivative of 90*y**2 + 0 + 10*y**a + 5/12*y**4 + 3*y. Factor q(j).
5*(j + 6)**2
Let y = 4911829/810 - 30317/5. Let k = y + -7/81. Factor -11/2 - 6*j - k*j**2.
-(j + 1)*(j + 11)/2
Let r(y) = y. Suppose 4*p + 3*d - 3 = 0, -2*d - 12 = -3*p - d. Let i be r(p). Factor 22*v**2 + 4*v - 8*v + 2*v**i - 24*v**2.
2*v*(v - 2)*(v + 1)
Let o(d) be the first derivative of -16/75*d**5 + 4/3*d**2 + 1/3*d**4 - 27 + 2/5*d + 14/9*d**3. Let o(t) = 0. Calculate t.
-1, -1/2, -1/4, 3
Let y(j) = 6*j**3 - 968*j**2 + 236200*j + 237164. Let n(t) = t**3 + t**2 + t - 1. Let k(m) = -5*n(m) + y(m). Suppose k(z) = 0. What is z?
-1, 487
Let d = 39522 - 79019/2. Let 10 + 5/2*r**2 + d*r = 0. What is r?
-4, -1
Let z be 1712/56 + 9/(126/(-8)). Factor 4 + z*v**2 + 48*v - 27*v**2 + 46 - 5.
3*(v + 1)*(v + 15)
Let w(j) be the first derivative of -7*j**2 - 1/4*j**4 - 72 - 7/3*j**3 - 8*j. Factor w(q).
-(q + 1)*(q + 2)*(q + 4)
Suppose 57*w + 3/2*w**2 + 111/2 = 0. Calculate w.
-37, -1
Let d be (10 + -9)*2134/408. Let u = 1/51 + d. Factor 3/2 - 29/4*z + u*z**2 - z**3.
-(z - 3)*(z - 2)*(4*z - 1)/4
Let a(q) = -4*q**5 + 12*q**4 - 4*q**3 - 77*q**2 - 30*q - 7. Let s(l) = -l**5 - l**4 - l**3 + 2*l**2 - 1. Let z(x) = 2*a(x) - 14*s(x). Find t such that z(t) = 0.
-5, -3, -1/3, 0, 2
Let g(s) be the second derivative of -25/6*s**3 - 2 - 63*s - 35*s**2 + 5/12*s**4. Factor g(r).
5*(r - 7)*(r + 2)
Let w(m) be the second derivative of 100*m**7/21 + m**6 - 137*m**5/20 - 77*m**4/12 - 5*m**3/2 - m**2/2 + 126*m + 1. Solve w(r) = 0.
-1/2, -1/4, -1/5, 1
Suppose 13*k - 2625 = -10815. Let d = 632 + k. Factor 3/2*t - 3/2*t**3 + 0 - 3/4*t**d + 3/4*t**4.
3*t*(t - 2)*(t - 1)*(t + 1)/4
Let o = 13 - 9. Let d(v) = -v**3 - 4*v**2 + 38*v + 50. Let z be d(-8). Find a, given that -4*a**2 - 2*a**4 + 7*a**o + 4*a**4 + 10*a**z + 15*a**3 = 0.
-1, -2/3, 0
Let y = 2/512251 + 16392018/3585757. Factor 48/7*r**3 - 108*r - y*r**4 + 648/7 + 216/7*r**2 + 4/7*r**5.
4*(r - 3)**3*(r - 2)*(r + 3)/7
Suppose -278*d - 350 + 566 + 724 - 202*d + 5*d**2 = 0. What is d?
2, 94
Let g = 38593 - 38591. Determine f so that -5/3*f - 2/3*f**3 - 41/6*f**g + 0 = 0.
-10, -1/4, 0
Let f(m) be the second derivative of -3*m**5/5 - 51*m**4/4 + 2*m**3 + 153*m**2/2 + 3202*m + 3. Find h such that f(h) = 0.
-51/4, -1, 1
Suppose 0 = u - 2*i - 3 - 8, 2*i = -2. Suppose -2*d = -7*d + 30. Suppose -u*x**2 + 18*x**2 - 1 + d - 14*x**2 = 0. What is x?
-1, 1
Let g(n) = -n**2 - 9*n - 6. Let i be g(-8). Factor 0*v**4 - 120*v**2 + 12*v + 123*v**i - 3*v**4 - 12*v**3.
-3*v*(v - 1)*(v + 1)*(v + 4)
Suppose 23 = 3*q + 35. Let y be q/((-8)/4) - (-1 + 1). Determine j so that 6*j**y - 8*j**2 + 4 + j**2 + 3*j = 0.
-1, 4
Let d(i) be the second derivative of i**5/90 - 34*i**4/27 - 23*i**3/9 + 480*i. Factor d(q).
2*q*(q - 69)*(q + 1)/9
Let b be 72/(-90)*(83/12 - 7). Let p(n) be the second derivative of -b*n**4 + 1/2*n**2 + 19/30*n**3 + 0 + 10*n. Suppose p(f) = 0. What is f?
-1/4, 5
Let g = 3/1789058 + -3534731699/212003373. Let f = -1/158 - g. Suppose -40*u - 8*u**3 - 2/3*u**4 - f - 92/3*u**2 = 0. What is u?
-5, -1
Let n(p) = 4*p**3 - 18*p**2 - 8*p - 5. Let u be n(6). Let q = 167 - u. Factor -3/5*t**3 + 0*t**2 - 6/5*t**q - 3/5*t**5 + 0*t + 0.
-3*t**3*(t + 1)**2/5
Let g(v) be the second derivative of -v**4/72 + 47*v**3/18 + 98*v**2/3 - 11*v + 62. Factor g(q).
-(q - 98)*(q + 4)/6
Let d(g) be the first derivative of 16*g + 9/5*g**5 - 24*g**2 - 1/6*g**6 - 8*g**4 + 56/3*g**3 + 52. Factor d(o).
-(o - 2)**4*(o - 1)
Let y(v) be the third derivative of v**6/960 