 = 3 - 1, 0 = 4*k - b - 22. Let t be (0 - k)*2/(-6). Let -2/3*s - 2*s**t + 2/3*s**3 + 2 = 0. Calculate s.
-1, 1, 3
Find v such that 336 - 99/7*v - 3/7*v**2 = 0.
-49, 16
Let t(f) be the first derivative of -f**4/2 - 206*f**3/3 + 424*f**2 - 856*f + 2503. Let t(y) = 0. What is y?
-107, 2
Let j be (380/(-40))/((-123)/82). Suppose -2/3 - j*m + 10/3*m**2 = 0. Calculate m.
-1/10, 2
Let u = -36521/5 + 29217/4. Let k(b) be the third derivative of 16*b**2 + 0*b - b**3 + 3/8*b**4 - u*b**5 + 0. Let k(m) = 0. Calculate m.
1, 2
Let k be 5/(-10)*2/(-7)*847/605. Factor -2/5 + 1/5*n + 3/5*n**2 - 1/5*n**4 - k*n**3.
-(n - 1)**2*(n + 1)*(n + 2)/5
Let k = -4/166339 + 112446712/64373193. Let m = k + -56/43. Find u, given that 0 - 2/9*u**2 + m*u = 0.
0, 2
Let k(f) be the second derivative of 2*f - 1/10*f**5 + 24*f**2 + 2/3*f**3 - 5/6*f**4 + 52. Find x, given that k(x) = 0.
-4, -3, 2
Let t(y) be the first derivative of -y**3 + 765*y**2 - 195075*y + 2020. Factor t(n).
-3*(n - 255)**2
Let o(c) be the first derivative of 5*c**4/4 + 380*c**3 + 2265*c**2/2 + 1130*c + 2447. Find h such that o(h) = 0.
-226, -1
Let t(q) = 15*q**3 - 1975*q**2 - 720*q + 8175. Let a(c) = c**3 - 141*c**2 - 52*c + 584. Let f(z) = -55*a(z) + 4*t(z). Factor f(r).
5*(r - 29)*(r - 2)*(r + 2)
Let r(i) = 8*i**2 + 4*i - 90. Let d(q) = 33*q**2 + 18*q - 378. Let x(w) = 5*d(w) - 21*r(w). Factor x(v).
-3*v*(v - 2)
Let f = 12/95 - -1113/2470. Let g = f - 27/182. Factor 0 - g*u - 3/7*u**2.
-3*u*(u + 1)/7
Let o = 1408259 + -1408257. Find p such that -3 - 1/8*p**o - 11/8*p = 0.
-8, -3
Suppose -f + 3*h = -9, -3*h = -4 - 5. Factor 3*b**5 - 19*b**3 + 38*b**3 + 18*b**4 + f*b**2 + 14*b**3.
3*b**2*(b + 1)*(b + 2)*(b + 3)
Suppose -18*l + 6 = -15*l. Solve 0*m**3 - 8*m**3 + 17*m**3 + 84*m - 96 + 84*m**l = 0.
-8, -2, 2/3
Let t(k) = -296*k**2 - 113501*k - 107389901. Let b(i) = -47*i**2 - 18917*i - 17898317. Let v(r) = -19*b(r) + 3*t(r). Factor v(f).
5*(f + 1892)**2
Factor 0*w - 2/5*w**2 + 0 - 1/5*w**4 + 3/5*w**3.
-w**2*(w - 2)*(w - 1)/5
Let y(u) = 4*u**3 + u**2 - 2*u + 9. Let l be y(0). Factor 24*a**3 + l*a + 2*a - 5*a + 39*a**2 + 3*a**4 + 12*a.
3*a*(a + 1)**2*(a + 6)
Let -1/3*t**2 - 760/3 + 86/3*t = 0. Calculate t.
10, 76
Let t(i) = 27*i**2 - 9012*i - 20304044. Let k(r) = -34*r**2 + 9012*r + 20304046. Let y(q) = -4*k(q) - 5*t(q). Suppose y(s) = 0. Calculate s.
-4506
Factor 1/2*f**4 + 0 - 10*f**2 + 0*f - 19/2*f**3.
f**2*(f - 20)*(f + 1)/2
Let l(w) be the first derivative of 1/330*w**6 + 32*w + 0*w**2 - 3/11*w**3 + 7/44*w**4 - 2/55*w**5 - 16. Let i(u) be the first derivative of l(u). Factor i(x).
x*(x - 3)**2*(x - 2)/11
Let u = -7835/2 - -23509/6. Solve -8/3*s + u*s**3 - 1/3*s**4 + s**2 + 4/3 = 0.
-2, 1, 2
Let g(u) be the third derivative of 2*u**7/105 + 4*u**6/3 - u**5/5 - 61*u**4/3 - 160*u**3/3 + 8*u**2 + 22*u. Factor g(j).
4*(j - 2)*(j + 1)**2*(j + 40)
Let d(a) be the third derivative of 1/480*a**5 - 108*a**2 + 7/12*a**3 + 0 - 1/12*a**4 + 0*a. Find i, given that d(i) = 0.
2, 14
Let a be (118/(-4425))/(4/(-159)). Let p = 39/25 - a. Factor p*n - 3/4*n**2 + 0 + 1/4*n**3.
n*(n - 2)*(n - 1)/4
Let d = -20508 - -20510. Suppose -4*y + 15 = 2*a - 9, 0 = 4*y - 20. What is p in -a*p**d - 14/3*p - 4/3 = 0?
-2, -1/3
Let x(z) be the third derivative of 0*z**3 + 0 - 1/24*z**6 - 12*z - 1/18*z**5 - 5/2016*z**8 + 6*z**2 - 1/63*z**7 - 5/144*z**4. Factor x(w).
-5*w*(w + 1)**4/6
Let l(f) = 9*f**3 + 137*f**2 + 754*f - 898. Let y(w) = -110*w**3 - 1645*w**2 - 9045*w + 10775. Let i(q) = 25*l(q) + 2*y(q). Solve i(t) = 0.
-18, -10, 1
Let j(y) be the second derivative of y**6/15 + 3*y**5/2 - 9*y**4 + 4*y**3/3 + 72*y**2 - 59*y. Let j(n) = 0. Calculate n.
-18, -1, 2
Determine t so that -118/3*t**4 + 0 + 118/3*t**2 - 2*t**5 + 46/3*t**3 - 40/3*t = 0.
-20, -1, 0, 1/3, 1
Let c(f) be the third derivative of -25*f**8/672 - 11*f**7/42 - 5*f**6/16 + 19*f**5/12 + 35*f**4/12 - 10*f**3 + 1238*f**2 + f. Find t, given that c(t) = 0.
-2, 3/5, 1
Let t(l) be the first derivative of -3/4*l**4 + 14 - 2/15*l**5 + 14/9*l**3 + 1/18*l**6 - 8*l + 10/3*l**2. Suppose t(s) = 0. What is s?
-2, 1, 2, 3
Factor -144/13*d**4 + 32/13*d**5 + 162/13*d**3 + 0*d + 0 - 54/13*d**2.
2*d**2*(d - 3)*(4*d - 3)**2/13
Let -22*s + s**2 - 72579 + 72243 - 87*s = 0. Calculate s.
-3, 112
Let t = -164 + 188. Factor 3 + t*b - 6 - 3*b**2 - 33.
-3*(b - 6)*(b - 2)
Let l(b) be the second derivative of -21*b + 5/2*b**3 + 0 + 3/4*b**5 - 55/24*b**4 + 0*b**2 - 1/12*b**6. Solve l(d) = 0.
0, 1, 2, 3
Let g(c) = 71*c + 73. Let r(m) = m + 1. Let x(j) = g(j) + 5*r(j). Let b be x(-1). Solve -4*y + 0 + 2/3*y**b = 0 for y.
0, 6
Let m(x) be the first derivative of x**5/5 + 10*x**4/3 + 56*x**3/3 + 48*x**2 - 107*x - 21. Let k(c) be the first derivative of m(c). Factor k(g).
4*(g + 2)**2*(g + 6)
Let r(z) be the first derivative of 10*z**6 - 442*z**5/5 + 405*z**4/2 - 514*z**3/3 + 33*z**2 + 20*z + 4921. Find b such that r(b) = 0.
-2/15, 1/2, 1, 5
Let k be 16*((-9)/(-4) - 3). Let n(m) = -m**3 - 5*m**2 - 5*m - 4. Let j(t) = t**2 + 2*t + 2. Let h(x) = k*j(x) - 4*n(x). Factor h(y).
4*(y - 1)*(y + 1)*(y + 2)
Let f(u) = 105*u**4 - 7770*u**3 - 7680*u**2 - 195*u. Let b(j) = 13*j**4 - 971*j**3 - 960*j**2 - 24*j. Let h(c) = -65*b(c) + 8*f(c). Let h(t) = 0. What is t?
-1, 0, 192
Factor 79 + 74*b + 201*b + 228 - 275*b**3 - 265*b**2 - 5*b**4 - 37.
-5*(b - 1)*(b + 1)**2*(b + 54)
Factor 3405*p**2 - 5*p**3 + 3*p**3 - 1601*p**2 + 1214*p**2 + 254527054 - 1518054*p.
-2*(p - 503)**3
What is l in -41/5*l - 238/5 - 1/5*l**2 = 0?
-34, -7
Let k(o) be the second derivative of -o**7/14 + 23*o**6/20 - 57*o**5/8 + 85*o**4/4 - 32*o**3 + 24*o**2 + o + 349. Determine u so that k(u) = 0.
1/2, 1, 2, 4
Suppose -5/3*w**4 + 0 + 1/9*w**5 + 23*w**2 + 18*w + 29/9*w**3 = 0. Calculate w.
-2, -1, 0, 9
Let s(w) be the third derivative of w**8/105 - w**7/70 - w**6/90 + 3*w**3 + 25*w**2 - w. Let m(h) be the first derivative of s(h). Determine n so that m(n) = 0.
-1/4, 0, 1
Let l(x) be the third derivative of -x**6/540 + 2*x**5/15 + 13*x**4/36 - 74*x**3/27 + x**2 - 2604. Factor l(v).
-2*(v - 37)*(v - 1)*(v + 2)/9
Let l(p) be the first derivative of 18/5*p**3 + 68/5*p**2 - 34/5*p**4 - 324 - 14/25*p**5 - 8*p. Find k such that l(k) = 0.
-10, -1, 2/7, 1
Find v such that 2/3 - 10/3*v**2 - 2*v + 2*v**3 + 8/3*v**4 = 0.
-1, 1/4, 1
Suppose 4*v + 13 = 25. Suppose 2*k = v*c, 2*c - 10 = -2*k - 0*c. Factor 188*g + 20*g**4 + 15*g**k + 40*g - 5*g**5 - 240*g**2 - 120 + 32*g + 70*g**2.
-5*(g - 2)**3*(g - 1)*(g + 3)
Suppose -2*o + 3 + 3 = 0. Factor -3*k**5 - 12*k**2 + 1289*k**3 - 12*k + 6*k**4 - 639*k**o - 641*k**3.
-3*k*(k - 2)**2*(k + 1)**2
Let d(o) be the first derivative of 0*o + 4/25*o**5 - 1/30*o**6 + 0*o**2 + 42 + 0*o**3 - 1/5*o**4. Factor d(i).
-i**3*(i - 2)**2/5
Suppose 348*z - 30 = 354*z. Let b be (-1 - z)*(-1)/(-1). Factor 0*v - 2/3*v**b + 0 + 0*v**2 + 4/3*v**3.
-2*v**3*(v - 2)/3
Let h(a) = 12*a**2 + 580*a + 6600. Let l(t) = 4*t**2 + 194*t + 2199. Let w(k) = -3*h(k) + 8*l(k). Solve w(p) = 0 for p.
-24, -23
Let f = 948225/8 + -118528. Factor f*a**3 - 3/8*a**2 - 5/8 - 9/8*a.
(a - 5)*(a + 1)**2/8
Let k = 48 - 22. Suppose -i - 23 = -k. Let -2/15*n**4 + 4/15*n**2 + 0*n**i + 0*n - 2/15 = 0. Calculate n.
-1, 1
Let m = -3976 + 3978. Let z(o) be the second derivative of 0 + 2/15*o**6 + 2/5*o**5 - 4*o + 0*o**4 - 2*o**m - 4/3*o**3. Solve z(b) = 0.
-1, 1
Let f be 10 + 16 + 1540/(-60). Factor f*r**2 + 0*r**3 - 1/3*r**4 + 0 - 1/6*r + 1/6*r**5.
r*(r - 1)**3*(r + 1)/6
Suppose 0 = -5*k + 4*a + 56, 4*k - 6*a + 11*a = -29. Factor -11/10*s**k + 2/5*s**2 + 0 - 4/5*s**3 + 0*s - 3/10*s**5.
-s**2*(s + 2)**2*(3*s - 1)/10
Let s be ((-6)/(-2310)*-21)/(9/(-30)). Factor 6750/11 + 1350/11*p + s*p**3 + 90/11*p**2.
2*(p + 15)**3/11
Let m(v) = v**2 - 15*v + 46. Let h be m(17). Factor h*n - 74 - 72*n**2 + 13 - 4*n**4 + 29 + 2*n**3 + 26*n**3.
-4*(n - 2)**3*(n - 1)
Let h be 26 - ((-2)/1 + 2*(-6 + 7)). Let p(u) be the first derivative of h - 20*u**4 - 5/6*u**6 + 0*u**3 + 0*u**2 - 8*u**5 + 0*u. Factor p(c).
-5*c**3*(c + 4)**2
Let n be (-98)/(-6 + (6 - 11)*-1). Factor -122*b - 18 - 18*b**3 + 12*b**3 - n*b**2 + 0 - 12.
-2*(b + 1)*(b + 15)*(3*b + 1)
Suppose -5*p = 2*v - 4 - 57, -87 = -3*v - 3*p. Factor 12*j + 12*j**2 + 3*j**2 + 0*j**2 - v - 735*j**3 + 736*j**3.
(j - 1)*(j + 2)*(j + 14)
Let h(x) = x**2 + 51*x 