3 + 0*a**2 - 1/4*a**4. Suppose x(j) = 0. Calculate j.
0, 2
Let j(z) be the third derivative of -z**7/245 + z**6/420 + 4*z**5/105 + z**4/21 - 2*z**2 + 892. Suppose j(m) = 0. Calculate m.
-1, -2/3, 0, 2
Let s = -25 + 24. Let i be (1*-2)/(s*(-6)/(-6)). Let 3*c**4 - c**3 - 12*c - 4 + 31*c**2 - 22*c**i + c**5 - 20*c**2 = 0. What is c?
-2, -1, 2
Suppose 4*r = t + 45, -r + 9 = 2*t - 0. Let o = r + 9. Find a, given that 44*a**4 - 16 - 83*a**2 + o*a**4 - 5*a**2 - 224*a**3 + 116*a - 68*a**2 = 0.
-1, 1/4, 4
Let u(q) = -251*q + 57. Let y be u(-2). Let -283 + r + 20*r**2 + y - 276 = 0. What is r?
-1/20, 0
Let k be (-212)/371*(-15 + 8). Determine h so that -2/5*h**2 + 4/5 - 36/5*h**3 + 18/5*h + 16/5*h**k = 0.
-1/2, -1/4, 1, 2
Let u(t) = -5*t**3 - 224*t**2 + 509*t - 373. Let n be u(-47). Factor 3/4*k**2 + 9/4 + n*k.
3*(k + 1)*(k + 3)/4
Suppose 0 = 13*j - 16*j - 2*s + 8, 0 = 9*j - 4*s - 14. Let -1/2*z + 1/4*z**j - 3/4 = 0. Calculate z.
-1, 3
Let j be ((-6)/(-28))/((72/(-32))/(-3)). Let f(a) be the first derivative of -27 + j*a**2 + 4/7*a + 3/7*a**4 - 20/21*a**3. Suppose f(x) = 0. What is x?
-1/3, 1
Let d be (-1)/(-3)*(-4 + 10). Suppose -k + 49 = -4*c, -d*k + 6*k = -2*c + 232. Determine j so that 4*j**2 + k*j + 4 - 2*j**2 - 63*j = 0.
1, 2
Let j = -836 + 838. Suppose -20*t + 185 - 18 + 33 - 4*t**j = 0. Calculate t.
-10, 5
Let n = -130004 - -130006. Factor 6*m - 45 - 1/5*m**n.
-(m - 15)**2/5
Factor -28*v**3 + 7*v**3 + 13*v**3 + 13*v**3 + 20*v**4 + 10*v**3.
5*v**3*(4*v + 3)
Let l = -96873/5 - -19375. Determine b so that -2/5*b**3 + 4/5 - 4/5*b**2 + l*b = 0.
-2, -1, 1
Find h such that -32/15*h**3 - 2/3*h**2 + 0 + 0*h = 0.
-5/16, 0
Suppose y - 2*o - 14 = -o, 0 = o + 4. Suppose 6*k = y*k - 752. Factor -9*q - 1 + 1 + 185*q**2 - k*q**2.
-3*q*(q + 3)
Let a be (-6)/9 + -11 + (-1050)/(-63). Factor -9/2 - 1/2*c**2 - a*c.
-(c + 1)*(c + 9)/2
Let m be (-135 - -142)*(-4)/2100*-6. Determine n so that m*n**2 + 0 + 12/25*n = 0.
-6, 0
Let l(v) be the second derivative of v**6/75 + 27*v**5/25 - 28*v**4/5 + 34*v**3/3 - 57*v**2/5 + 422*v. Suppose l(j) = 0. Calculate j.
-57, 1
Let g(a) = -11*a + 263 + 179*a + 43*a**2 - 2615 - 51*a**2. Let s(p) = -9*p**2 + 168*p - 2352. Let r(m) = 6*g(m) - 5*s(m). Factor r(t).
-3*(t - 28)**2
Let n(u) = 6*u**2 - u - 2. Let m be n(1). Let q(x) be the first derivative of -13*x**m - 9*x**5 - 10 - 39/2*x**4 + 0*x - 3*x**2. Let q(s) = 0. Calculate s.
-1, -2/5, -1/3, 0
Let w be 415/665 - (12/(-608))/(24/(-64)). Factor 32/7*n**2 - w*n**3 + 36/7*n + 0.
-4*n*(n - 9)*(n + 1)/7
Let i(z) = -11*z**3 - 972*z**2 + 2745*z + 18. Let r(y) = -7*y**3 - 583*y**2 + 1647*y + 11. Let x(h) = -11*i(h) + 18*r(h). Suppose x(q) = 0. What is q?
0, 3, 183/5
Let v(d) be the third derivative of d**5/15 - 5*d**4/3 + 50*d**3/3 - 1463*d**2 + 2. Determine s so that v(s) = 0.
5
Let l(y) = -y + 7*y + 2 + 3*y - 4*y. Let c be l(0). Find k, given that k**3 - k**3 - 3*k**3 - 6*k**c = 0.
-2, 0
Let m(y) be the third derivative of y**8/9240 + y**7/660 - 8*y**3 + 8*y**2 + 5*y. Let c(b) be the first derivative of m(b). Solve c(p) = 0 for p.
-7, 0
Let y(m) be the second derivative of -72*m**3 + 0*m**2 - 1/15*m**5 + 0 + 4*m**4 + 211*m. Let y(i) = 0. Calculate i.
0, 18
Let r(j) = 366*j - 490. Let k be r(7). Suppose 2073*v - k*v = 4. Determine d, given that 0 - 3/7*d**v + 0*d**3 + 3/7*d**2 + 0*d = 0.
-1, 0, 1
Suppose -6*u = 2*u - 1488. Find g, given that 10*g**4 - 100 + u*g**2 + 80*g**3 - 190*g + 27*g**3 + 2*g**3 - 15*g**3 = 0.
-5, -2/5, 1
Let 548*a**2 - 1351*a**2 + 309*a**4 + 636*a**2 - 21*a**5 - 503*a**3 + 443*a**2 + 144*a - 205*a**3 = 0. What is a?
-2/7, 0, 1, 2, 12
Let p = -1200378 + 1200381. Determine d, given that 2/7*d**p + 480*d - 166/7*d**2 + 504 = 0.
-1, 42
Let f(t) be the second derivative of -t**7/280 - t**6/15 - t**5/8 + 7*t**4/4 + 77*t**3/2 - 2*t - 68. Let j(d) be the second derivative of f(d). Factor j(a).
-3*(a - 1)*(a + 2)*(a + 7)
Suppose -1/2*k**2 - 696*k - 242208 = 0. Calculate k.
-696
Let f be ((-2)/(-99))/(2/36). Let r(k) be the first derivative of -10/11*k - 6 + 2/33*k**3 + f*k**2. Find z such that r(z) = 0.
-5, 1
Let f(y) = y**4 + y**2 - 2*y. Let x be ((-54)/45 + 2)*(-5)/2. Let o(q) = q**5 - 9*q**4 - 12*q**3 + 7*q**2 + 18*q. Let t(k) = x*o(k) - 18*f(k). Factor t(d).
-2*d**2*(d - 2)**2*(d + 4)
Let c(v) be the first derivative of 2*v**3/3 + 135*v**2 + 532*v - 1508. Factor c(t).
2*(t + 2)*(t + 133)
Let k(j) be the second derivative of -1/105*j**6 + 0*j**3 - 1/147*j**7 + 1/70*j**5 + 1/42*j**4 + 0*j**2 + 5*j + 0. Find r, given that k(r) = 0.
-1, 0, 1
Suppose 387 = 6*i + 99. Let r = i - 45. Factor -14*u**4 - u**5 + 2*u**r + 15*u**4 - 2*u**2 + 2*u**2.
-u**3*(u - 2)*(u + 1)
Suppose -3*t + 5*c + 23 = -4, -3*t - 4*c = 0. Let w(f) be the third derivative of 5/42*f**t - 1/210*f**5 + 0 - 4*f**2 - 25/21*f**3 + 0*f. Factor w(b).
-2*(b - 5)**2/7
Let v(o) be the third derivative of -o**8/840 + o**7/105 - 2*o**6/75 + 2*o**5/75 - 5*o**2 + 25. Factor v(z).
-2*z**2*(z - 2)**2*(z - 1)/5
Factor 34/9*u**2 - 18*u + 14 + 2/9*u**3.
2*(u - 3)*(u - 1)*(u + 21)/9
Let t(p) be the third derivative of -1/10*p**5 + 1/112*p**8 + 0*p**6 + 137*p**2 + 0*p - 1 + 0*p**3 + 1/35*p**7 - 1/8*p**4. Suppose t(b) = 0. Calculate b.
-1, 0, 1
Let u(k) be the first derivative of k**4 - 20*k**3/3 - 1092*k**2 + 11441. Factor u(r).
4*r*(r - 26)*(r + 21)
Let l(f) be the first derivative of -77 - 1/16*f**4 + 0*f - 1/12*f**3 + 0*f**2. Suppose l(h) = 0. What is h?
-1, 0
Let y = -9796 + 28783/3. Let w = -201 - y. Factor -2/3*k**4 - 1/3*k + 1/3*k**5 + 0*k**3 + w*k**2 + 0.
k*(k - 1)**3*(k + 1)/3
Let u(c) be the second derivative of c**6/255 + 31*c**5/17 + 23713*c**4/102 - 16120*c**3/17 + 24336*c**2/17 - 452*c + 4. Factor u(f).
2*(f - 1)**2*(f + 156)**2/17
Suppose 0 = -26*y + 235 + 181. Suppose -y*i = 4*s - 17*i - 13, -7 = -s + 4*i. Factor -8/3*a**3 + 22/3*a**2 - 8*a + 1/3*a**4 + s.
(a - 3)**2*(a - 1)**2/3
Suppose 3*o - 3*h - 108 - 27 = 0, 0 = -h - 4. Let g be ((-4)/14)/(o/(-287)). Factor -1/4*u**2 - 4 + g*u.
-(u - 4)**2/4
Let y = -53/120 - -469/1560. Let q = 5/26 - y. Solve -1/3*t**5 + 0*t**3 + 2/3*t**4 - 2/3*t**2 + 0 + q*t = 0 for t.
-1, 0, 1
Let l(j) = j**3 - j**2 - 4*j + 16. Let y(f) = -2*f**3 + 2*f**2 + 7*f - 33. Let n(a) = 5*a - 31. Let v be n(8). Let r(s) = v*l(s) + 4*y(s). Factor r(q).
(q - 2)**2*(q + 3)
Factor 606984 - 159336 + 2*b**2 + 2508*b + b**2 + 338610 - b**2.
2*(b + 627)**2
Let t = 3/20936 - -41863/62808. Let d(s) be the third derivative of 1/30*s**5 - 10 - s**2 + 1/4*s**4 + t*s**3 + 0*s. Let d(a) = 0. Calculate a.
-2, -1
Factor -12*o**2 + 11*o**3 - o**4 - 29*o**2 + 306 - 137*o - 384 + 6*o**3.
-(o - 13)*(o - 6)*(o + 1)**2
Let q(x) be the third derivative of -2 + 1/12*x**6 + 25/3*x**3 + 0*x - 5/3*x**5 + 5/21*x**7 - 5/24*x**4 - 5/336*x**8 - 4*x**2. Determine k so that q(k) = 0.
-1, 1, 10
Let f(c) = 4*c**2 - 5*c - 2. Let g(m) = 3*m**2 - 5*m - 2. Let n(l) = 4*f(l) - 5*g(l). Let k be n(-6). Find o such that k*o + 0*o - 3*o**2 - 14*o = 0.
-2, 0
Let j(c) = c**2 + 10 + c**2 - 124*c + 116*c. Let k(m) = -1. Suppose -28 = -5*n - 2*n. Let g(i) = n*k(i) + j(i). What is p in g(p) = 0?
1, 3
Suppose 10*n + 829 = 5*w + 12*n, 4*n = -4*w + 656. Suppose w = -53*h + 326. Factor 0*d + 0 + 1/3*d**h + 2/3*d**2.
d**2*(d + 2)/3
Factor 4/9*l**4 + 288*l + 112*l**2 + 0 - 136/9*l**3.
4*l*(l - 18)**2*(l + 2)/9
Let y = -1666 - -8702. Factor -27*t + 18*t**3 - 13*t - t**2 + 7044 - y + 15*t**2.
2*(t - 1)*(t + 2)*(9*t - 2)
Let r(q) be the first derivative of -q**4/4 - 23*q**3 - 1587*q**2/2 - 29*q + 118. Let y(j) be the first derivative of r(j). Suppose y(k) = 0. Calculate k.
-23
Let o = -1035661 - -1035663. Factor 72/7*a**o + 64/7 + 132/7*a + 4/7*a**3.
4*(a + 1)**2*(a + 16)/7
Let o(d) be the second derivative of d**5/60 - 583*d**4/18 + 169360*d**3/9 + 341056*d**2/3 - 6624*d. Factor o(t).
(t - 584)**2*(t + 2)/3
Suppose 0 = 18*w - 10*w - 32. Factor r**3 + 3*r**w + 8*r**3 + 8*r**3 - 8*r**3 + 6*r**2.
3*r**2*(r + 1)*(r + 2)
Find i, given that 576*i**2 + 78*i**4 + 36*i**4 + 96*i**3 - 149*i**4 + 38*i**4 = 0.
-24, -8, 0
Suppose 5 - 41/4*k - 1/4*k**4 + 21/4*k**2 + 1/4*k**3 = 0. What is k?
-5, 1, 4
Let q(j) be the third derivative of -j**5/210 + 40*j**4/21 - 6400*j**3/21 + 821*j**2. Factor q(z).
-2*(z - 80)**2/7
Suppose -327 = 8*v + 209. Let c be (-3)/11 - v/165. F