2 - 70 + 151 - 69 = 0. Calculate n.
-4, -1
Let c(z) be the first derivative of 5*z**4/4 - 30*z**2 - 80*z - 380. Factor c(r).
5*(r - 4)*(r + 2)**2
Let k(d) = -515*d**2 + 35*d - 25. Let r = -20 + -5. Let s(m) = 250*m + 223*m + 2 - 476*m + 43*m**2. Let z(o) = r*s(o) - 2*k(o). What is y in z(y) = 0?
0, 1/9
Suppose -1/2*k**4 - 334560*k - 410*k**3 - 84866*k**2 - 332928 = 0. Calculate k.
-408, -2
Let s be 4/(-5) + (-42)/(-15). Factor -377*b**4 + 33*b**s - 65*b**3 - 8*b**5 + 9*b**5 + 408*b**4.
b**2*(b - 1)**2*(b + 33)
Let j be 1839/(-88) - (-2)/16. Let s = j + 234/11. Solve s*h**4 + 0 + h**3 + 0*h + 1/2*h**2 = 0 for h.
-1, 0
Let w = -339734/15 + 22649. Let l(u) be the third derivative of 0*u - 2/3*u**3 + w*u**5 + 1/120*u**6 + 0 - 29*u**2 - 1/24*u**4. Factor l(c).
(c - 1)*(c + 1)*(c + 4)
Suppose -5*w = 6*w - 99. Factor 3*z**2 + 20 - 4*z**3 + 0*z**2 - 36 + w*z**2.
-4*(z - 2)**2*(z + 1)
Solve -1/6*y**4 + 244*y**3 - 1065800/3 - 269372/3*y**2 + 356240*y = 0.
2, 730
Let b = -595671 + 595673. Find j, given that -25/2*j**3 - 1/2*j**5 + 8 - 11/2*j**4 + 13*j - 5/2*j**b = 0.
-8, -2, -1, 1
Let s(m) = -33*m**2 - 51*m + 144. Let v(f) = -6*f + 6 + 20*f - f - 42 + 8*f**2. Let r(x) = -2*s(x) - 9*v(x). Factor r(a).
-3*(a + 4)*(2*a - 3)
Suppose x = -x. Suppose 2*i + 14 = 4*w - 0*w, 3*w - 5*i - 14 = x. Factor g**w - 12*g + 30*g**2 + 24*g**2 - 48*g**2 + 8 - 2*g**3.
-(g - 2)**3
Suppose -36 = -8*i - 44. Let u(c) be the second derivative of c**3/6 + 2*c. Let o(f) = -5*f**2 - 55*f - 180. Let y(m) = i*o(m) + 5*u(m). Solve y(b) = 0 for b.
-6
Let f(l) = -4*l**3 - 272*l**2 - 1420*l + 119944. Let r(a) = a**2 + 19*a + 2. Let k(x) = -f(x) - 4*r(x). Solve k(y) = 0 for y.
-42, 17
Let d(j) = 11*j**2 + 120*j - 7. Suppose -t - 2*t = -b - 17, 0 = b + t + 9. Let m be d(b). What is y in 0*y**3 + 4*y**2 - 16/5*y**m + 6/5*y - 4/5 - 6/5*y**5 = 0?
-2, -1, 1/3, 1
Let c(l) be the second derivative of 2*l + 17 - 3/10*l**2 - 1/200*l**5 - 13/60*l**3 - 1/15*l**4. Solve c(v) = 0.
-6, -1
Suppose -170*z + 8*z + 0*z + 1914 = -1488. What is h in -25/2*h**2 + 3*h**3 - 45/4 + z*h - 1/4*h**4 = 0?
1, 3, 5
Let s(u) = -2*u**2 + 2. Let j = 38 - -2. Let p = j + -45. Let v(w) = -2*w**2 + 2. Let t(a) = p*s(a) + 4*v(a). Factor t(h).
2*(h - 1)*(h + 1)
Let j(p) be the third derivative of -p**8/672 + 11*p**7/210 - 11*p**6/40 - 161*p**5/30 - 325*p**4/48 + 169*p**3/2 - 156*p**2 - 5*p - 1. Solve j(x) = 0 for x.
-3, -2, 1, 13
Let -106/7*g - 20/7*g**4 - 2/7*g**5 + 108/7*g**3 - 64/7*g**2 + 12 = 0. What is g?
-14, -1, 1, 3
Let w be (-886)/(-3) - (4 - (-14)/(-3)). Let h = w - 1157/4. Factor 3/4*y**4 + 6*y**3 + 18*y + 33/2*y**2 + h.
3*(y + 1)**2*(y + 3)**2/4
Let q(p) be the second derivative of 5*p**7/84 - 223*p**6/12 + 12319*p**5/8 + 63835*p**4/24 - 15400*p**3/3 - 15680*p**2 - 2*p - 5192. Solve q(v) = 0.
-1, 1, 112
Suppose 4*o + 5*o = 18. Factor -10*x**o - 16*x**2 + 29*x**2 - 23*x - 8.
(x - 8)*(3*x + 1)
Suppose 2/15*q**2 - 296/15*q - 298/15 = 0. What is q?
-1, 149
Let b(x) be the second derivative of x**5/10 - 52*x**4/3 - x**3/3 + 104*x**2 - x - 652. Let b(m) = 0. What is m?
-1, 1, 104
Let b be 189/(-18)*(-5 + (-7 - 1424/(-120))). Find v such that 7/5*v**3 + 1/5*v**4 - 1/5*v**2 - b*v + 0 = 0.
-7, -1, 0, 1
Let c(x) be the third derivative of -95*x + 0 - 1/9*x**4 - x**2 + 1/360*x**6 + 7/180*x**5 + 0*x**3. Factor c(a).
a*(a - 1)*(a + 8)/3
Let j = 68 - 69. Let x be 37 + (j - 1) + -2. Factor 30*k + x*k - k**2 + k**3 - 65*k + 5*k**3.
k*(2*k + 1)*(3*k - 2)
What is q in -456/7*q**3 + 10/7*q**4 + 1140/7*q**2 - 136*q + 258/7 = 0?
3/5, 1, 43
Let -32/9*d + 0 - 2/9*d**4 - 4*d**3 - 22/3*d**2 = 0. Calculate d.
-16, -1, 0
Let p(c) be the first derivative of 5*c**3/3 - 430*c**2 + 36980*c + 1879. Factor p(x).
5*(x - 86)**2
Let p = 13182 - 13179. Let b(v) be the second derivative of 1/10*v**6 + 0*v**p + 0*v**2 - 11/4*v**4 + v + 36 + 3/2*v**5. Factor b(o).
3*o**2*(o - 1)*(o + 11)
Let z(w) = -w**3 - 7*w**2 + 6*w - 11. Let n be z(-8). Suppose -6*l - 3*h = -2*l - 31, -5*h + n = 0. Factor -7*x + 2*x**5 + x**5 + 6*x**4 + l*x.
3*x**4*(x + 2)
Let l(r) be the first derivative of r**6/300 - 4*r**5/75 - r**2/2 - 31*r + 55. Let f(x) be the second derivative of l(x). Factor f(v).
2*v**2*(v - 8)/5
Let j(u) be the second derivative of 3*u**5/40 + 17*u**4/12 - 25*u**3/12 - 3*u**2 + 5*u - 32. Suppose j(c) = 0. Calculate c.
-12, -1/3, 1
Let m(p) be the first derivative of -8*p + 8/3*p**3 - 2*p**2 + 140 + p**4. Find h, given that m(h) = 0.
-2, -1, 1
Let c(x) be the second derivative of 7/6*x**3 - 29/2*x**2 + 10*x + 0 - 1/60*x**5 - 1/4*x**4. Let i(s) be the first derivative of c(s). Let i(y) = 0. What is y?
-7, 1
Let j(r) be the first derivative of -r**4/2 - 4*r**3 + 37*r**2 - 60*r + 1975. Factor j(o).
-2*(o - 3)*(o - 1)*(o + 10)
Let v(d) be the first derivative of 44*d**3 + 256*d + 160*d**2 - 55 + 1/5*d**5 + 5*d**4. Suppose v(y) = 0. What is y?
-8, -2
Suppose 26 = -x - 4*m, -5*x - 3*m - 35 = -24. Solve -4/3*v**3 + 32/3*v + 4/3*v**x - 16 = 0 for v.
-3, 2
Let o(l) be the second derivative of 2*l**6/15 - 16*l**5/5 - 98*l**4/3 - 96*l**3 - 126*l**2 + 215*l - 4. Suppose o(k) = 0. Calculate k.
-3, -1, 21
Suppose 0 = -7*q - 0*q + 220 - 206. Let l(g) be the second derivative of 0 + 1/5*g**5 - g**q - g**3 + 1/21*g**7 - 1/3*g**4 + 1/5*g**6 + 20*g. Factor l(o).
2*(o - 1)*(o + 1)**4
Let x(c) = -50*c + 105. Let k be x(2). Let t(n) be the first derivative of k*n + 5/3*n**3 - 5*n**2 + 12. Suppose t(q) = 0. What is q?
1
Let f(w) be the first derivative of 5*w**3/3 - 280*w**2 - 565*w - 247. Factor f(h).
5*(h - 113)*(h + 1)
Let w(i) be the second derivative of i**6/6 - 4*i**5 + 205*i**4/12 + 235*i**3/3 - 300*i**2 - 95*i - 2. Find a, given that w(a) = 0.
-2, 1, 5, 12
Suppose -466 + 1122 + 126*r**2 - 560 - 12*r**3 - 2*r**4 - 208*r = 0. What is r?
-12, 1, 4
Suppose 2 = -2*y + 3*y. Let r be (124/2232)/(7/28). Factor 2/9 - r*s**3 + 2/9*s - 2/9*s**y.
-2*(s - 1)*(s + 1)**2/9
Suppose -14256*n - 3294*n**2 - 10368 + 2271/4*n**3 - 207/8*n**4 + 3/8*n**5 = 0. Calculate n.
-2, -1, 24
Let t(x) be the first derivative of -7/5*x**4 + 95 + 46/5*x**3 + 40*x + 2/25*x**5 - 28*x**2. Suppose t(s) = 0. What is s?
2, 5
Let d(b) = -60*b**2 + 738*b + 27. Let i(w) = -122*w**2 + 1471*w + 56. Let n(u) = -5*d(u) + 3*i(u). Let n(k) = 0. Calculate k.
-1/22, 11
Let s(m) be the second derivative of -7*m**4/4 - 15*m**3 + 108*m**2 - 408*m + 1. Find g such that s(g) = 0.
-6, 12/7
Factor -72/5 + 3/5*d**3 - 29*d + 214/5*d**2.
(d - 1)*(d + 72)*(3*d + 1)/5
Suppose -190 + 233 + 353 = 198*s. Find r, given that 2/21*r**4 - 2/7*r**3 + 0 + 4/21*r**s + 0*r = 0.
0, 1, 2
Let z = -266 + 337. Solve 11*l**2 - 11*l + l**2 - 3*l**2 + 11*l**3 + z + l**4 - 81 = 0 for l.
-10, -1, 1
Let o(s) = 6*s**4 + s**2. Let p(t) = 29*t**4 + 17*t**3 - 75*t**2 + 64*t. Let w(j) = -5*o(j) + p(j). Factor w(d).
-d*(d - 8)**2*(d - 1)
Let p = -796 + 799. Factor 99*o - o**p + 111*o + 2*o**3 - 9*o**2 - 189*o - o**2.
o*(o - 7)*(o - 3)
Let y(n) = 4*n**2 + 9*n - 9. Let v(x) = 17*x + 405. Let s be v(-24). Let q be y(s). Suppose -3/4*j**3 + 9/4*j + q*j**2 + 3/2 = 0. What is j?
-1, 2
Let k(w) be the third derivative of -w**6/600 - 23*w**5/150 + 47*w**4/120 + 46*w**2 + 4. Factor k(d).
-d*(d - 1)*(d + 47)/5
Let j(z) be the first derivative of -2*z**3/3 - 12*z**2 + 128*z + 1471. Factor j(k).
-2*(k - 4)*(k + 16)
Let h(q) be the second derivative of 25/3*q**3 + 15/2*q**4 + 6 + 0*q**2 - 7/2*q**6 - 6*q + 15/28*q**7 - 23/8*q**5. Let h(p) = 0. What is p?
-2/3, 0, 1, 5
Let f(u) be the third derivative of 19/72*u**4 + 62*u - 2*u**2 + 0 + 10/9*u**3 - 1/180*u**5. Let f(a) = 0. What is a?
-1, 20
Let p = 2063 + -2045. Let x be (110/88)/(15/p). Factor 3/2*g**2 + 0 + x*g.
3*g*(g + 1)/2
Let n(h) be the first derivative of 1/15*h**6 + 0*h**3 + 0*h**4 + 0*h**2 + 2/25*h**5 - 91 + 0*h. Factor n(f).
2*f**4*(f + 1)/5
Let z be (-93)/186*(1 + 2)*(-8)/3. Let 2*k**2 - 4/5 - 4/5*k**5 - 6/5*k + 2*k**3 - 6/5*k**z = 0. Calculate k.
-2, -1, -1/2, 1
Let a(u) be the second derivative of 0*u**5 - 19*u + 1/1260*u**6 + 0 + 11/3*u**3 + 0*u**4 + 0*u**2. Let y(x) be the second derivative of a(x). Factor y(c).
2*c**2/7
Let l = -110915 + 332777/3. Determine z, given that -2/3*z**2 - 10 + l*z = 0.
1, 15
Let w(m) be the third derivative of -11*m**5/75 + 857*m**4/15 + 208*m**3/5 - 2*m**2 - 4*m - 512. Factor 