*u = 3*d + 13 - 0. Determine n, given that -3/7*n**u - 30/7*n - 75/7 = 0.
-5
Let p(x) be the third derivative of x**8/42 + 1522*x**7/105 - 637*x**6/10 + 1531*x**5/15 - 383*x**4/6 + 557*x**2 - 1. Determine w, given that p(w) = 0.
-383, 0, 1/2, 1
Let d(n) = 27*n**3 - 4*n + 2*n**2 + 42*n**3 + 5 - 17*n**3 - 2. Let f be d(1). Determine p, given that -f - 2*p**2 - 2*p + 31 + 4*p - 26*p = 0.
-11, -1
Let z(s) be the third derivative of s**6/160 + 7*s**5/40 + 41*s**4/32 - 7*s**3 - 2*s**2 + 256*s - 2. Determine o, given that z(o) = 0.
-8, -7, 1
Find m such that 0*m**2 - m**4 + 132*m - 30 - 8*m**2 - 83*m - m**2 - 9*m**3 = 0.
-6, -5, 1
Let v(l) be the third derivative of 1/160*l**6 + 0*l**5 + 0*l**3 + 2 + 0*l**4 + 0*l + 1/840*l**7 - 75*l**2. Factor v(u).
u**3*(u + 3)/4
Let q(c) be the first derivative of 1/5*c**5 - 35 - 1/3*c**3 + c**2 + 0*c - 3/4*c**4 + 1/6*c**6. Factor q(i).
i*(i - 1)**2*(i + 1)*(i + 2)
Let c(m) = 25*m**2 + 7296*m + 7287. Let z(n) = -14*n**2 - 4169*n - 4164. Let l(u) = -9*c(u) - 16*z(u). Determine d, given that l(d) = 0.
-1, 1041
Let x(c) = -c**3 - 8*c**2 - 9*c - 10. Let f be x(-7). Let q be (2/f)/(5/40). Solve q*z**2 - 49*z**5 + 8*z**3 + 7*z**3 + 77*z**4 - 56*z**4 + 9*z**3 = 0.
-2/7, 0, 1
Let n be (4/(-240))/(77/(-1204)). Let t = -2/33 + n. What is h in 0*h**2 + 0 + 0*h - t*h**3 + 1/5*h**4 = 0?
0, 1
Suppose -4*x + 2*f = 332, 3*f = 4*x + 254 + 82. Let l be (-261)/x*-1 + 5. Factor -4/9*u + 2/9*u**2 - l.
2*(u - 4)*(u + 2)/9
Let u(s) be the first derivative of 18*s**5/85 - 1293*s**4/34 - 880*s**3/51 + 1148*s**2/17 + 1152*s/17 + 632. Solve u(c) = 0 for c.
-2/3, 1, 144
Let p = -279 - -282. Let v be p - (7/5 + (-14)/35). Factor -5/3*s**4 + 5*s**v + 0*s**3 + 0 + 10/3*s.
-5*s*(s - 2)*(s + 1)**2/3
Let l(u) be the third derivative of 25*u**8/112 + 16*u**7/7 + 361*u**6/40 + 163*u**5/10 + 23*u**4/2 + 4*u**3 - 2*u**2 - 614*u. Determine p so that l(p) = 0.
-2, -1/5
Let b be (-9030)/602*-3*2/63. Factor -b*j**2 - 46/7*j + 20/7.
-2*(j + 5)*(5*j - 2)/7
Suppose 227646 = 8*z - 230218. Find t, given that 5*t**2 - 5*t**4 + z*t - 57233*t = 0.
-1, 0, 1
Let h = 504 - 506. Let b be (-210)/(-28) + h*2. Factor -r**2 + 1 - 7/2*r + b*r**3.
(r - 1)*(r + 1)*(7*r - 2)/2
Find n, given that -2/3*n**3 + 8/3*n**2 + 0 - 2*n = 0.
0, 1, 3
Let f = 2866 - 372583/130. Let i = 23/130 + f. Factor i*c**2 + 6/13*c - 8/13.
2*(c - 1)*(c + 4)/13
Let f = 4369 - 4367. Let h(r) be the first derivative of 3/38*r**4 + 1/57*r**6 + 0*r**f + 0*r + 6/95*r**5 + 2/57*r**3 + 22. Factor h(p).
2*p**2*(p + 1)**3/19
Let w be (-31713)/(-30690) - 3/(-10). Solve -2*i**2 + w*i - 5/3*i**3 - 1/3*i**4 + 8/3 = 0.
-2, 1
Let q(l) be the second derivative of -l**4/4 - 181*l**3/2 + 273*l**2 - 3351*l. Solve q(c) = 0.
-182, 1
Suppose 373*w + 8404 = -32*w + 9214. Factor 0 + 15/4*b**w - 4*b**3 + 1/4*b**4 + 0*b.
b**2*(b - 15)*(b - 1)/4
Let h be -7 + (-221 - (-1 - 6)). Let b = 223 + h. Factor 3/4*w + 1/4*w**b + 1/2.
(w + 1)*(w + 2)/4
Let r = 384377 + -4228143/11. Find n such that -2/11*n**4 + r*n**3 - 2/11*n**2 + 0*n + 0 = 0.
0, 1
Let y = -5341 - -5354. Let k(t) be the second derivative of 1/50*t**5 + 1/75*t**6 - y*t + 0*t**2 + 0*t**3 + 0 + 0*t**4. Factor k(g).
2*g**3*(g + 1)/5
Let z(q) be the third derivative of -121*q**5/3 - 55*q**4/6 - 5*q**3/6 + 626*q**2 + 3*q. Determine p so that z(p) = 0.
-1/22
Let b = -18 + 21. Find q such that 63 + 88 + 4*q**b - 199 - 52*q = 0.
-3, -1, 4
Let k(h) be the first derivative of h**6/72 + 5*h**5/24 - 5*h**4/4 - 68*h**3/3 - 8. Let r(s) be the third derivative of k(s). Suppose r(m) = 0. What is m?
-6, 1
Let h(k) = 2*k - 10. Let q be h(12). Let o(u) be the second derivative of 1/14*u**3 + 0*u**2 + 1/28*u**4 + q*u + 0. Find r, given that o(r) = 0.
-1, 0
Let w = 310516 - 310514. Determine x so that 1/3*x**w + 400/3 - 40/3*x = 0.
20
Let z(i) be the first derivative of 729*i**4/8 - 1737*i**3/2 + 190*i**2 - 14*i + 3096. Solve z(d) = 0.
2/27, 7
Factor 1 - 1/9*x**3 + 7/9*x**2 - 5/3*x.
-(x - 3)**2*(x - 1)/9
Suppose -3*k + 29 = s, 4*s + 3*k + 19 - 90 = 0. Let v = -12 + s. Suppose 18*g**2 + v*g + 3 - 12*g**2 - 2 - 5*g**2 = 0. What is g?
-1
Let c(j) be the second derivative of j**6/15 + 31*j**5/10 + 29*j**4/6 - 31*j**3/3 - 30*j**2 - j - 295. Suppose c(o) = 0. What is o?
-30, -1, 1
Let t(s) = 3*s**2 + 901*s + 205208. Let f(i) = -2*i**2 + 5*i + 1. Let z(h) = f(h) + t(h). Factor z(g).
(g + 453)**2
Suppose -3*l - 37 = -3*b + 767, 0 = -l - 3. Let q be (b/65 + -5)*(-7 + 3). Determine m, given that 72/13 - 22/13*m**2 + 2/13*m**3 + q*m = 0.
-1, 6
Let g(l) = -l**2 + 737*l + 13590. Let q be g(-18). Let z = -6 + 8. Factor -44/5*v**4 + q*v + 16/5*v**z - 32/5*v**3 + 0 - 12/5*v**5.
-4*v**2*(v + 2)**2*(3*v - 1)/5
Let k(j) be the second derivative of -1/9*j**3 - 7*j + 0 + 2/9*j**2 + 1/90*j**5 + 0*j**4. Factor k(l).
2*(l - 1)**2*(l + 2)/9
Let b(k) be the third derivative of k**5/140 - 17*k**4/28 + 33*k**3/14 + 2*k**2 - k + 69. Find f, given that b(f) = 0.
1, 33
Let o(q) be the third derivative of -q**6/480 - 7*q**5/60 + q**4/96 + 7*q**3/6 + 183*q**2. Suppose o(n) = 0. Calculate n.
-28, -1, 1
Factor -300*s**2 + 511*s**2 - 257*s**2 + s**3 - 44 + 89*s.
(s - 44)*(s - 1)**2
Let f(n) be the first derivative of 3*n**5/20 - 36*n**4 + 2206*n**3 + 14112*n**2 + 28812*n + 9453. Factor f(v).
3*(v - 98)**2*(v + 2)**2/4
Let y(v) be the second derivative of -3*v**6/10 + 3*v**5/7 + 20*v**4/7 - 40*v**3/7 + 24*v**2/7 - 1070*v. Suppose y(d) = 0. Calculate d.
-2, 2/7, 2/3, 2
Let p = 19 - 14. Factor -p*v**2 - 448 - 808 - 549 - 190*v.
-5*(v + 19)**2
Let r(o) be the first derivative of o**3/2 + 651*o**2/4 - 657*o - 2784. Factor r(q).
3*(q - 2)*(q + 219)/2
Let f be (4/(-12))/((-25270)/1200 + 21). Factor -16/7 - 2/7*x**4 - 36/7*x**2 - f*x - 2*x**3.
-2*(x + 1)*(x + 2)**3/7
Let 108*o + 4/3*o**2 - 2848/3 = 0. What is o?
-89, 8
Let c = 2793 - 1992. Let a = c + -799. Solve -6 + 3/2*u**a - 9/2*u = 0.
-1, 4
Let d = -62 - -83. Let z = 34 - d. Factor 6 - z - 2*n**2 + 7 - 3*n.
-n*(2*n + 3)
What is o in 0*o - 9/2*o**4 + 9/2*o**2 - 3/8*o**3 + 3/8*o**5 + 0 = 0?
-1, 0, 1, 12
Suppose -25*w = -30*w + 20. Let z be 1*(-642)/138 + w + 1. Let 50/23 + z*o**2 + 40/23*o = 0. Calculate o.
-5/2
Suppose -5*d - 748 = 4*d - 31*d. Let b(r) be the first derivative of -d - 8/15*r**5 + 17/6*r**4 + 13/3*r**2 - 16/3*r**3 - 4/3*r. Let b(y) = 0. Calculate y.
1/4, 1, 2
Find n such that -3/2*n**3 + 0 + 1/4*n**4 - 3/2*n + 11/4*n**2 = 0.
0, 1, 2, 3
Suppose 8*l - 943 = -15*l. Factor -112 + 47 + 43 + 32 + 45*j**2 - 16*j**3 + 5*j**4 + 35*j + l*j**3.
5*(j + 1)**3*(j + 2)
Let j(w) be the second derivative of w**4/54 - 320*w**3/27 + 212*w**2/3 + 2*w - 1297. Find a, given that j(a) = 0.
2, 318
Let f(z) = 202*z**3 - 2569*z**2 + 5857*z + 537. Let q(u) = -100*u**3 + 1284*u**2 - 2928*u - 268. Let y(x) = 4*f(x) + 9*q(x). Determine m, given that y(m) = 0.
-2/23, 3, 11
Let p(x) be the third derivative of -x**6/180 + 37*x**5/24 + 233*x**4/48 + 35*x**3/9 + 2539*x**2. Find y, given that p(y) = 0.
-1, -1/4, 140
Factor -220*s**2 - 40*s - 270*s**2 + 768 + 424*s**2 - 2*s**3.
-2*(s - 3)*(s + 4)*(s + 32)
Let v = -311 + 310. Let w be v + 1926/1170 - (-4)/26. Factor -4/5*t**2 + 6/5*t + w + 0*t**4 - 8/5*t**3 + 2/5*t**5.
2*(t - 2)*(t - 1)*(t + 1)**3/5
Let d(z) be the first derivative of -24*z**5/5 - 81*z**4/2 - 25*z**3 + 207*z**2/2 + 54*z + 2978. Suppose d(y) = 0. What is y?
-6, -3/2, -1/4, 1
Suppose 0 = -3*f + 126 + 114. Solve -48*b**4 + f*b**3 + 138*b**2 - 35*b**3 + 12*b + 123*b**3 - 45*b**2 = 0.
-1/4, 0, 4
Let k = 770560 + -2311678/3. Determine b so that -k*b**3 + 0 - 4/3*b**2 + b + 4/3*b**4 - 1/3*b**5 = 0.
-1, 0, 1, 3
Let g(w) be the third derivative of w**5/30 - 25*w**4/3 + 33*w**3 - 16250*w**2. Factor g(b).
2*(b - 99)*(b - 1)
Let a(d) be the second derivative of d**6/75 - 53*d**5/100 - 12*d**4/5 - 31*d**3/30 + 29*d**2/5 + 191*d + 2. Find v such that a(v) = 0.
-2, -1, 1/2, 29
Let m be (1*-8)/(9/((-18)/4)). Suppose -m*d + 16 = 2*f - 9*d, -3*f + 11 = -d. Let 9*w**2 + 3*w**f - 4*w - 9 - 3*w + 2*w + 2*w = 0. What is w?
-3, -1, 1
Suppose -m - 15 = 2*i + 2*m, 2*m + 10 = 0. Let b be (i - 0/(-2)) + (-25 - -25). Solve -1/3*f**3 + 4/3*f - f**2 + b = 0.
-4, 0, 1
Suppose 0 = -10*x + 13*x - 36. Suppose 0 = -4*b - y + 7, -4*b + 2*y + x = -2*y. Solve 0*l + 0*l + 6*l**b - 2*l - 6*l**3 + 0*l**3 + 2*l**4 = 0.
0, 