9 + 4*r**3 + 48*r - 3*r**a = 0. What is r?
2
Let t(a) be the second derivative of a**8/2100 + a**7/525 - a**6/150 + a**3/3 - 53*a**2/2 + 57*a. Let h(y) be the second derivative of t(y). Factor h(f).
4*f**2*(f - 1)*(f + 3)/5
Let l be (8 - -1)/((-12)/88). Let p be (l/(-462))/((-1)/(-2)). Factor -8/7 + 10/7*y - p*y**2.
-2*(y - 4)*(y - 1)/7
Let d(w) be the third derivative of 0*w + 2 + 1/140*w**7 - 2*w**4 + 13/8*w**5 + 129*w**2 + 0*w**3 - 17/40*w**6. Suppose d(j) = 0. Calculate j.
0, 1, 32
Let g(y) be the third derivative of y**5/210 + 7*y**4/3 + 380*y**3/7 - 15*y**2 + 266*y. Factor g(f).
2*(f + 6)*(f + 190)/7
Let q(f) be the first derivative of -3*f**4/8 + 87*f**3/4 + 171*f**2/2 + 69*f - 7274. Solve q(k) = 0 for k.
-2, -1/2, 46
Let w = -23 + 28. Let n(z) = -25 + 4*z - 16*z - 8*z**2 - w*z. Let x(i) = i**2 + i. Let c(y) = 2*n(y) + 14*x(y). Find u, given that c(u) = 0.
-5
Suppose -w + 4*b + 151 = 0, -3*w - 3*b + 0*b = -393. Let u = -133 + w. Factor 4/3*l**3 + 0*l + 8/3*l**u + 0.
4*l**2*(l + 2)/3
Solve -1008*y**4 + 78*y**3 + 34*y**3 + 3021*y + 1004*y**4 - 2317*y - 560*y**2 = 0.
0, 2, 4, 22
Let t = -825 + 829. Suppose 203*g**3 - t*g**4 + 10*g - 183*g**3 - 42*g - 4*g**5 + 16 + 4*g**2 = 0. Calculate g.
-2, 1
Let k be (2 - 3) + 3 + 0. Determine r so that -r**2 - 8 - 6*r - k*r - 4 = 0.
-6, -2
Let a(v) = -v**2 - v. Let y(w) = 15*w**2 - 63*w - 78. Let i(h) = 18*a(h) + y(h). Find c such that i(c) = 0.
-26, -1
Let j = -410403 - -410405. Factor -25/2*z - 13 + 1/2*z**j.
(z - 26)*(z + 1)/2
Let l(q) be the third derivative of q**8/1344 - q**7/14 + 419*q**6/240 + 31*q**5/4 + 961*q**4/96 + q**2 - 3011*q. Suppose l(g) = 0. Calculate g.
-1, 0, 31
Let x(k) = -410*k - 70. Let j be x(-4). Factor 16*q**3 - j*q + 40 - 4*q**4 + 72*q**2 + 1650*q - 12.
-4*(q - 7)*(q + 1)**3
Let m(w) be the second derivative of w**6/810 + w**5/270 - 2*w**3/3 - 2*w**2 + 7*w + 1. Let z(h) be the second derivative of m(h). Let z(u) = 0. What is u?
-1, 0
Let k(u) be the second derivative of 0*u**2 + 55*u + 2/21*u**7 + 0 + 20/3*u**4 + 14/15*u**6 + 16/3*u**3 + 18/5*u**5. Factor k(s).
4*s*(s + 1)*(s + 2)**3
Let q(v) = -34*v**3 + 38*v**2 + 98*v - 126. Let f(m) = 9*m**3 - m**2 - m - 1. Let x(j) = 4*f(j) + q(j). Factor x(i).
2*(i - 1)*(i + 5)*(i + 13)
Let g(s) be the second derivative of -5/24*s**3 + 1/48*s**4 + 0 - 84*s + 3/4*s**2. Factor g(o).
(o - 3)*(o - 2)/4
Let d(w) = -3*w**3 + w**2 - w - 1. Let p(n) = -20*n**3 - 52*n**2 + 264*n - 344. Let s(f) = -8*d(f) + p(f). Factor s(v).
4*(v - 7)*(v - 6)*(v - 2)
Let d be (28/9)/(118349/27666). What is u in 2/11*u**3 + d - 8/11*u - 2/11*u**2 = 0?
-2, 1, 2
Solve 26*j**2 - 20*j - 17*j**3 - 264 + 15*j**3 - 12*j + 20*j**2 = 0.
-2, 3, 22
Suppose -37*g - 28 = -27*g - 17*g. Let v(b) be the first derivative of -3/16*b**g + 43 + 3/8*b**2 + 0*b - 1/8*b**3 + 3/40*b**5. Factor v(s).
3*s*(s - 2)*(s - 1)*(s + 1)/8
Let u(k) = -2*k**2 + 700*k + 2121. Let v be u(-3). Find x, given that 3/2*x - v + 9/8*x**3 + 15/4*x**2 = 0.
-2, 2/3
Let d(v) = -v**3 - 3*v + 2. Let y(m) = 20*m**3 + 115*m**2 - 235*m + 150. Let b(t) = 25*d(t) + y(t). Solve b(u) = 0 for u.
1, 2, 20
Let n = 6 - -3. Suppose -176 = n*z - 20*z. Factor -23*c**2 + 4*c + 300 + 10*c**2 + z*c**2 + 56*c.
3*(c + 10)**2
Let j = 1101 + -1102. Let u be (14 - 15)*(j - -1). Suppose u + 0*s**2 - 2/11*s**4 - 4/11*s**3 + 2/11*s**5 + 0*s = 0. Calculate s.
-1, 0, 2
Let i(z) be the first derivative of z**5/150 + z**4/15 + 4*z**3/15 + 3*z**2 + z - 58. Let s(y) be the second derivative of i(y). Find r such that s(r) = 0.
-2
Let s(w) = -20*w - 16. Let o = -287 + 283. Let l(k) = -k**2 + 19*k + 15. Let i(a) = o*l(a) - 5*s(a). Find h, given that i(h) = 0.
-5, -1
Factor -4314*j**2 + 48579719*j**3 + 1614*j**2 - 48579723*j**3.
-4*j**2*(j + 675)
Let t(a) be the first derivative of a**6/9 + 44*a**5/15 - 409*a**4/6 - 44*a**3/9 + 136*a**2 - 210. Solve t(m) = 0.
-34, -1, 0, 1, 12
Let u(p) = 13*p + 149. Let g be u(-11). What is q in 952 - 88*q - g*q**2 - 77 + 8*q**2 + 93 = 0?
22
Let d = -289 - -282. Let h be (-584)/d - 8/(-14). Factor 24*u - h*u**4 + 27/2*u**5 + 180*u**3 + 0 - 144*u**2.
3*u*(u - 2)**3*(9*u - 2)/2
Let n(l) = -5*l + 172. Let g be n(34). Factor 4*y**3 - 54*y + 107*y - g*y**2 - 57*y + 2*y**4.
2*y*(y - 1)*(y + 1)*(y + 2)
Let u(i) be the third derivative of -i**5/180 - 455*i**4/18 - 414050*i**3/9 + 7*i**2 - 353*i + 1. Determine j so that u(j) = 0.
-910
Let -1/6*p**3 + 92/3*p - 200/3 - 17/6*p**2 = 0. What is p?
-25, 4
Let v(d) be the second derivative of 0 + 7/90*d**6 + 183*d - 2/9*d**3 - 35/36*d**4 + 1/12*d**5 + 14/3*d**2 - 1/126*d**7. Find f, given that v(f) = 0.
-2, -1, 1, 2, 7
Let i(u) be the first derivative of 0*u + 18 + 1/8*u**4 - 5/2*u**2 + 1/2*u**3. Suppose i(v) = 0. Calculate v.
-5, 0, 2
Let y(n) be the second derivative of 0*n**5 + 87*n + 1/105*n**6 - 1/7*n**4 - 3/7*n**2 + 0 + 8/21*n**3. Suppose y(j) = 0. What is j?
-3, 1
Let j(o) be the third derivative of -o**6/600 - 7*o**5/75 - 16*o**4/15 + 512*o**3/15 + 2*o**2 + 36*o. Determine i, given that j(i) = 0.
-16, 4
Let z(r) = -14*r**4 - 88*r**3 - 2*r**2 + 144*r. Let l(m) = 9*m**4 + 59*m**3 + m**2 - 94*m. Let x(s) = 8*l(s) + 5*z(s). Suppose x(o) = 0. Calculate o.
-16, -1, 0, 1
Let a(z) be the first derivative of z**5/2 + 10*z**4 + 475*z**3/6 + 310*z**2 + 600*z + 1186. Suppose a(o) = 0. What is o?
-5, -4, -3
Let i(g) = g**2. Let p(f) be the first derivative of 11*f**3/3 - 124*f**2 + 7688*f + 263. Let r(z) = 18*i(z) - 2*p(z). Factor r(s).
-4*(s - 62)**2
Let w be (-1)/3 + 12/36. Suppose -f + 2 + 1 = w. Factor -34*n**4 - 22*n**2 + 42*n**f - 436 + 4*n + 10*n**5 + 436.
2*n*(n - 1)**3*(5*n - 2)
Suppose -2*o + 6*o + 5*g - 48 = 0, -4*o - 2*g + 36 = 0. Suppose -2*j + 0 + o = -r, -3*r + 9 = 4*j. Factor 3 + 6*s + j + 6 - 3*s**2 - 3.
-3*(s - 3)*(s + 1)
Let l(z) be the third derivative of z**6/80 + z**5/10 - z**4/4 - 4*z**3 + z**2 - 1167. Solve l(p) = 0.
-4, -2, 2
Let b(z) be the first derivative of 2*z**5/105 + 10*z**4/21 - 2*z**3/21 - 62*z**2/21 - 80*z/21 - 949. Solve b(v) = 0 for v.
-20, -1, 2
Let g(v) be the third derivative of -v**7/70 + 39*v**6/20 - 1797*v**5/20 + 1330*v**4 - 7350*v**3 + 1120*v**2. Factor g(w).
-3*(w - 35)**2*(w - 6)*(w - 2)
Let a = -681 - -695. Suppose 3*q + 3*r - 4 = r, 5*q - 4*r = a. Factor 0 - 4/7*o**q + 0*o - 16/7*o**3 - 16/7*o**4.
-4*o**2*(2*o + 1)**2/7
Let n(b) = 6*b + 2. Let z be n(1). Suppose 93 = z*y - 43. Factor 79*o**2 - 82*o**2 - y + 12*o + 5.
-3*(o - 2)**2
What is z in -302/3*z**3 - 2/3*z**5 - 108 + 453*z + 161/6*z**4 - 121/2*z**2 = 0?
-2, 1/4, 3, 36
Let g = 62 - 26. Suppose -15*n + 11*n + g = 0. Factor -6*a**4 - 5*a**5 + n*a**2 + 15*a**3 + 11*a**2 - 4*a**4 - 20*a.
-5*a*(a - 1)**2*(a + 2)**2
Let x(o) be the first derivative of -2*o**5/5 + 43*o**4 + 118*o**3 - 86*o**2 - 352*o + 4545. Solve x(b) = 0 for b.
-2, -1, 1, 88
Let c(u) = u**2 + 7*u - 404. Let m be c(17). Let z(a) be the third derivative of 10*a**2 + 0 - 1/12*a**5 + 0*a**3 + 5/24*a**m + 0*a. Factor z(h).
-5*h*(h - 1)
Let k(l) be the first derivative of 83 + 0*l - 10/21*l**3 - 1/14*l**4 + 0*l**2. Factor k(t).
-2*t**2*(t + 5)/7
Let w = 338988 - 338924. Factor 44/3*z**2 - 192 + 2/3*z**3 + w*z.
2*(z - 2)*(z + 12)**2/3
Let u(o) be the third derivative of o**5/150 - 91*o**4/10 + 1088*o**3/15 + 600*o**2. Find b, given that u(b) = 0.
2, 544
Let o(x) be the second derivative of x**4/8 + 5*x**3/24 - x**2/8 + 309*x. Factor o(p).
(p + 1)*(6*p - 1)/4
Let l(k) = 4*k**2 - 88*k - 362. Let u(a) = -44*a**2 + 964*a + 3984. Let q(r) = -32*l(r) - 3*u(r). Factor q(f).
4*(f - 23)*(f + 4)
Let k(o) be the third derivative of -o**8/45360 - 2*o**7/2835 - 4*o**6/405 - 2*o**5/5 + 42*o**2 + 2. Let w(i) be the third derivative of k(i). Factor w(g).
-4*(g + 4)**2/9
Let c = 4582/2875 + -9/125. Let g = 347/92 - c. Factor -9 - g*q**2 + 15*q.
-3*(q - 6)*(3*q - 2)/4
Let w be ((-70)/63 + 520/468)/1. Factor -18/5*l**3 + 0 + 42/5*l**4 + w*l - 24/5*l**2.
6*l**2*(l - 1)*(7*l + 4)/5
Let r(d) be the third derivative of d**5/12 - 205*d**4/12 + 8405*d**3/6 - 1084*d**2. Find y such that r(y) = 0.
41
Let a(t) = 11*t**2 - 118*t + 333. Let j(x) = -203*x**2 + 2126*x - 5994. Let z(w) = -111*a(w) - 6*j(w). Factor z(o).
-3*(o - 111)*(o - 3)
Let 2*q**2 - 24 - 2/5*q**3 + 112/5*q = 0. Calculate q.
-6, 1, 10
Factor -1160*a + 7*a**3 - 9*a**3 - 93*a**2 + 268*