 59643*z**2/8 - 8*z - 155. Let w(t) = 0. What is t?
-141, 1
Let s(r) be the third derivative of r**3 - 5/8*r**4 - 1/40*r**6 - 4*r**2 + 1/5*r**5 - 5 + 0*r. Find f, given that s(f) = 0.
1, 2
Let q(n) = 2520*n**3 - 531*n**2 - 120*n + 20. Let h(x) = -2*x. Let z(j) = 4*h(j) + 2*q(j). Find a, given that z(a) = 0.
-5/24, 2/15, 2/7
Let b(l) be the first derivative of 2/35*l**5 + 1/7*l**4 - 10/21*l**3 + 140 + 0*l - 6/7*l**2. Factor b(j).
2*j*(j - 2)*(j + 1)*(j + 3)/7
Let t = -751 + 755. Let -989*d**2 - 27 - 424*d - 41 + 637*d**2 - 16*d**t - 132*d**3 + 4 + 88*d = 0. Calculate d.
-4, -2, -1/4
Factor -3745 + 5*g**2 - 10513 + 13050*g + 1203.
5*(g - 1)*(g + 2611)
Let c(m) = 29*m - 348. Let y be c(12). Let x(v) be the second derivative of 1/160*v**5 + v + 0*v**4 + y - 1/12*v**3 + 0*v**2. Factor x(t).
t*(t - 2)*(t + 2)/8
Find r such that 736/3 - 2/3*r**2 - 364/3*r = 0.
-184, 2
Suppose 69*k - 3840 = 64*k. Factor -112*t**2 - 131*t**3 - 224 + 16*t**2 + k*t + 135*t**3 - 1824.
4*(t - 8)**3
Let r(m) be the third derivative of m**5/15 + 157*m**4/6 + 104*m**3 - 683*m**2. Factor r(c).
4*(c + 1)*(c + 156)
Let t(u) be the second derivative of -u**4/3 + 188*u**3/3 - 368*u**2 - 2860*u. Determine r, given that t(r) = 0.
2, 92
Let k(r) be the third derivative of r**8/1008 - r**7/63 - r**6/15 - 54*r**2 - 5. Suppose k(m) = 0. Calculate m.
-2, 0, 12
Let f be 3/(-4) + 11/((-176)/(-60)). Suppose 0 = 5*n - 4*k - 37 + 10, 4*n - f = -3*k. Suppose a - 4*a + 6*a**2 + n*a**3 - 10*a**3 + 4*a**3 = 0. Calculate a.
0, 1
Let y(p) = p**3 + 105*p**2 + 307*p - 413. Let i(o) = -70*o**2 - 205*o + 275. Let q(j) = -8*i(j) - 5*y(j). Factor q(s).
-5*(s - 9)*(s - 1)*(s + 3)
Let l(y) be the third derivative of -1/4*y**6 - 1/42*y**7 + 0*y + 5/4*y**5 + 2*y**2 + 85 - 5/3*y**4 + 0*y**3. What is h in l(h) = 0?
-8, 0, 1
Let d(j) be the first derivative of -10/7*j**2 - 2/21*j**3 + 1/14*j**4 + 48 - 16/7*j. Find q, given that d(q) = 0.
-2, -1, 4
Let f(k) be the first derivative of -11/7*k**3 - 288 + 6/7*k**2 + 0*k. Determine z so that f(z) = 0.
0, 4/11
Let v(w) be the first derivative of -5*w**3/3 + 1420*w**2 - 403280*w + 528. Factor v(x).
-5*(x - 284)**2
Factor 378/17*v - 324/17 + 30/17*v**3 - 162/17*v**2 - 2/17*v**4.
-2*(v - 6)*(v - 3)**3/17
Suppose -z - 62 = -4*t, 11292*z - 4*t = 11290*z - 60. Suppose -6*r - 3/2*r**z + 18 = 0. Calculate r.
-6, 2
Let p(b) be the first derivative of b**7/560 + 3*b**6/320 - b**5/40 - 29*b**2/2 + b - 35. Let v(m) be the second derivative of p(m). Solve v(t) = 0.
-4, 0, 1
Let l(j) be the first derivative of 3*j**4/10 + 174*j**3/5 - 531*j**2/5 + 534*j/5 - 2204. Factor l(s).
6*(s - 1)**2*(s + 89)/5
Let k(n) be the third derivative of n**8/1344 - 5*n**7/336 + 71*n**6/960 - 5*n**5/32 + 9*n**4/64 - 389*n**2. Let k(w) = 0. What is w?
0, 1, 3/2, 9
Let f = 184 - 188. Let m be 6/9*f/(8/(-9)). Determine p, given that 0 + 14/5*p**5 + 0*p**m + 0*p - 4/5*p**4 + 0*p**2 = 0.
0, 2/7
Let f = -115929 + 115931. Factor -72/5*j**f + 0*j**3 + 192/5*j - 144/5 + 3/5*j**4.
3*(j - 2)**3*(j + 6)/5
Suppose 34 = 5*y + 3*f, 81*y - 2*f = 85*y - 24. Let p(a) be the first derivative of -21/20*a**4 + 0*a - 24/25*a**5 - 36 + 0*a**y + 1/5*a**3. Factor p(o).
-3*o**2*(o + 1)*(8*o - 1)/5
Let u = 175197/70078 + -1/35039. Factor u*d**2 + 2*d**3 + 0 + d + 1/2*d**4.
d*(d + 1)**2*(d + 2)/2
Let l(z) = z + 11. Let n be l(-8). Suppose -n*s - s = -40. Find g, given that -18*g - 2*g**2 - s*g**2 - 10*g - 8 = 0.
-2, -1/3
Factor 163/7*w + 164/7 - 1/7*w**2.
-(w - 164)*(w + 1)/7
Factor 144*t**2 - 286*t**2 + 141*t**2 + 26*t - t.
-t*(t - 25)
Let b be -2 + 260/33 - 1 - 5. Let n = b - -16/11. Solve 2/3*s**2 - n*s + 0 = 0.
0, 2
Let c be (-4)/38 - 560/(-2793). Let v(o) be the first derivative of -35 + 8/7*o**2 + c*o**3 + 32/7*o. Find t such that v(t) = 0.
-4
Let b(u) be the third derivative of -11*u**8/1176 - 29*u**7/735 + 13*u**6/70 + 32*u**5/105 - 8*u**4/21 + 1583*u**2. Let b(h) = 0. What is h?
-4, -1, 0, 4/11, 2
Let b(u) = u**2 - 32*u - 1422. Let t be b(57). Let f(d) be the first derivative of 9/2*d**2 + 3/4*d**4 + 3*d**3 - 6 + t*d. Determine p so that f(p) = 0.
-1
Let h(z) be the first derivative of 13*z**6/5 + 1094*z**5/25 + 2393*z**4/10 + 6674*z**3/15 + 1488*z**2/5 + 72*z/5 + 6442. Solve h(w) = 0.
-6, -1, -1/39
Let h(f) be the second derivative of f**7/2520 - f**6/80 - f**5/12 - 29*f**4/4 + 137*f. Let d(k) be the third derivative of h(k). Factor d(x).
(x - 10)*(x + 1)
Let z(g) be the third derivative of g**6/420 - 13*g**5/70 + 30*g**4/7 + 400*g**3/21 + 241*g**2. Let z(h) = 0. What is h?
-1, 20
Let y(v) = 7*v**3 - 7*v**2 - 5. Let s(g) = -3*g**3 + 3*g**2 + 2. Suppose -4*k = -145 - 135. Suppose 26*d + k = 33*d. Let o(j) = d*s(j) + 4*y(j). Factor o(c).
-2*c**2*(c - 1)
Factor -56*h + 0 + 2/3*h**2.
2*h*(h - 84)/3
Let u(d) be the third derivative of d**8/168 - 2*d**7/105 - 2*d**6/15 - d**5/15 + 7*d**4/12 + 4*d**3/3 - 772*d**2. Factor u(w).
2*(w - 4)*(w - 1)*(w + 1)**3
Let y(g) be the third derivative of 0 + 0*g - 75*g**2 + 242/9*g**3 - 143/18*g**4 + 23/45*g**5 - 1/90*g**6. Solve y(n) = 0 for n.
1, 11
Let l be (9 + 153/(-15))*5 + 8. Let k(v) be the first derivative of 15 + 0*v + 1/2*v**4 + v**l - 4/3*v**3. Find s such that k(s) = 0.
0, 1
What is r in 6/7*r**2 + 108/7*r**4 + 0*r + 0 - 326/7*r**3 = 0?
0, 1/54, 3
Let b(i) = i**4 - i**3 + i**2 + i - 2. Let z(l) = -4*l**4 - 34*l**3 - 38*l**2 + 34*l + 42. Let x(d) = 3*b(d) + z(d). Find v such that x(v) = 0.
-36, -1, 1
Let v(p) = p**2 + 2*p - 1. Let m be v(1). Find x, given that -33*x**m - 122*x**3 + 131*x**3 + 2*x + 16*x + 9*x**4 - 3*x**5 = 0.
-2, 0, 1, 3
Let p = -113453 - -113453. Suppose -66/7*s**4 - 360/7*s**3 + p + 66/7*s**2 - 3/7*s**5 + 363/7*s = 0. Calculate s.
-11, -1, 0, 1
Let t = 645 - 643. Determine u, given that -2*u**3 + 1032*u**2 - 1072*u**t + u**3 - 2*u**3 - u**3 = 0.
-10, 0
What is l in 50*l**4 + 271*l**2 + 236*l**2 + 6*l - 77*l**3 - 792*l**2 + 238*l**2 - 4*l = 0?
-1/2, 0, 1/25, 2
Suppose 677*r - 168*r**2 + 669*r - 2432 - 98*r - 450*r**3 + 452*r**3 = 0. What is r?
4, 76
Let d(h) be the second derivative of h**6/6 - 3*h**5/4 - 5*h**4/2 + 20*h**3/3 + 3*h + 250. Factor d(k).
5*k*(k - 4)*(k - 1)*(k + 2)
Let r = 18/35 - -2/35. Solve -2/7*q**3 + 12/7 - r*q**2 + 10/7*q = 0.
-3, -1, 2
Let f be (-476)/(-21)*(-189)/6. Let j be 2/7 + -201*4/f. Let j + 16/17*g + 2/17*g**2 = 0. What is g?
-6, -2
Suppose -30*y + 48*y = 28*y. Let h(v) be the second derivative of 1/8*v**4 - 9/80*v**5 - 6*v + y*v**2 + 0 + 1/8*v**3. Factor h(g).
-3*g*(g - 1)*(3*g + 1)/4
Let l(y) be the third derivative of y**6/160 - 39*y**5/80 - 81*y**4/32 + 10935*y**3/8 - 4764*y**2. Factor l(w).
3*(w - 27)**2*(w + 15)/4
Let n = 326/14007 + 48/667. Let f(i) be the second derivative of -10*i + 2/5*i**5 + 0 + 2/3*i**4 - n*i**7 - 2/3*i**3 - 2*i**2 - 2/15*i**6. Factor f(z).
-4*(z - 1)**2*(z + 1)**3
Let k(b) = 25*b**2 - 3235*b - 134465. Let j(i) = -18*i**2 + 2427*i + 100849. Let p(c) = -15*j(c) - 11*k(c). Factor p(u).
-5*(u + 82)**2
Let o(z) be the first derivative of z**3/3 + 5*z**2/2 + 4*z + 1524. What is n in o(n) = 0?
-4, -1
Let d = 12227 - 12225. Let x(z) be the first derivative of -180*z**d - 2/5*z**5 - 14 - 162*z - 10*z**4 - 236/3*z**3. Factor x(a).
-2*(a + 1)**2*(a + 9)**2
Let d be 3 + -1 + 28/(-5 - -9). Factor -4*y**2 + 64*y + 9 + 8 + 42 + d.
-4*(y - 17)*(y + 1)
Let p(s) = -s**2 - 456*s - 5328. Let x be p(-12). Suppose -22/3*k**3 + 8/3*k**4 + x + 4*k**2 + 0*k = 0. Calculate k.
0, 3/4, 2
Let r(t) be the first derivative of 0*t**2 + 1/30*t**5 + 0*t - 4/3*t**3 - 1/36*t**6 + 11 + 0*t**4. Let a(q) be the third derivative of r(q). Factor a(d).
-2*d*(5*d - 2)
Let z(a) = 5 - 3*a - 4*a**2 - 8*a**2 + 4*a + 2*a. Let r(q) = 12*q**2 - 2*q - 4. Let d(j) = -5*r(j) - 4*z(j). Let d(x) = 0. What is x?
-1/6, 0
Suppose -797842*u**3 - 54*u**2 + 450 + 2*u - 107*u + 797839*u**3 = 0. What is u?
-15, -5, 2
Factor 676*f + 2/3*f**2 + 171366.
2*(f + 507)**2/3
Let y(p) be the first derivative of p**7/840 - p**6/160 + p**5/120 - 85*p**2/2 + 2*p + 77. Let o(r) be the second derivative of y(r). What is i in o(i) = 0?
0, 1, 2
Let t(d) be the third derivative of 8/3*d**3 + 0*d + 9*d**2 + 1/15*d**5 + 0 + 2/3*d**4. Find a, given that t(a) = 0.
-2
Suppose 0 = 6747*c - 6760*c - 0 - 0. Find f, given that 11*f**3 - 1/2*f**5 + 22*f**2 + 12*f + c + 1/2*f**4 = 0.
