*n - 5195*n = 0.
-79, -4
Let o be (-108)/21*(-2)/6*21. Suppose 145*v**3 - o*v + 3*v**2 - 21*v**2 - 129*v**3 - 2*v**4 = 0. Calculate v.
-1, 0, 3, 6
Let k be 0 + -3 - 9 - (-948)/78. Factor -6/13*l + 2/13 - k*l**3 + 6/13*l**2.
-2*(l - 1)**3/13
Let k(p) be the third derivative of -8*p**7/105 - 41*p**6/60 - 37*p**5/30 - p**4/3 - 11357*p**2. Let k(o) = 0. Calculate o.
-4, -1, -1/8, 0
Suppose -5*v + 3*w = 2*w + 24, -4*v - 8 = 2*w. Let x be 18/v*(-10)/3. Factor x - 62*l**2 + 20*l + 5 + 67*l**2.
5*(l + 2)**2
Let a(b) be the third derivative of -b**5/330 - 147*b**4/44 + 442*b**3/33 - 798*b**2 - 2*b. Suppose a(f) = 0. What is f?
-442, 1
Let i(h) = -11*h**3 - 99*h**2 + 108*h - 17. Let z be i(-10). Solve 4/11*d**2 - 6/11*d + 10/11*d**z + 0 = 0 for d.
-1, 0, 3/5
Let j(a) be the first derivative of a**6/72 + a**5/8 - 5*a**4/6 + a**3 - a**2 - 50. Let z(i) be the third derivative of j(i). Find x such that z(x) = 0.
-4, 1
Let a = 148221/10 + -74078/5. Suppose 1/2*i**5 + 13*i**3 - a + 15/2*i**4 - 27/2*i - i**2 = 0. Calculate i.
-13, -1, 1
Let y(v) = 4*v**2 + 9*v + 7. Suppose -s = 4*s + 30. Let b(x) = 3*x**2 + 9*x + 6. Let j(z) = s*y(z) + 7*b(z). Suppose j(d) = 0. Calculate d.
0, 3
Let q(h) = -h**2 + 2*h + 1. Let b(z) be the third derivative of z**5/60 + 13*z**4/24 + z**3/3 + 17*z**2 - 5*z. Let f(j) = b(j) - 2*q(j). Solve f(r) = 0 for r.
-3, 0
Let i(h) = 42*h + 1302. Let b be i(-31). Let c(q) be the first derivative of -15/7*q**3 - 1/35*q**5 + b*q + 25/7*q**2 + 3/7*q**4 + 8. Solve c(t) = 0 for t.
0, 2, 5
Let x be (-8)/14 - (-118 - (157 - 274)). Let l(s) = -s**3 + s. Let t be l(0). Find n, given that 3/7*n + t - x*n**2 = 0.
0, 1
Suppose -2*a - 142 = -2*t, -4*a + t - 2*t = 289. Let x = 77 + a. Determine m so that 21*m**3 + 27*m - 19*m - 4*m**4 + 7*m**2 - x*m**3 - 27*m**2 = 0.
0, 1, 2
Let d(f) be the first derivative of 9*f**4/4 + 4*f**3 + 6*f**2 + 3*f + 55. Let g(o) = o**3 - o**2. Let b(i) = -d(i) + 3*g(i). Suppose b(j) = 0. Calculate j.
-1, -1/2
Let y(t) be the first derivative of 3*t**5/20 - 41*t**4/4 - 81*t + 27. Let h(k) be the first derivative of y(k). Factor h(m).
3*m**2*(m - 41)
Factor -2513*l**2 + 1257*l**2 + 6*l**3 - 2*l**3 + 1252*l**2 + 576 - 216*l.
4*(l - 6)*(l - 3)*(l + 8)
Let s(d) be the first derivative of 8/15*d**6 + 1/3*d**4 + 0*d**2 - d**5 - 11*d + 0*d**3 - 4. Let g(f) be the first derivative of s(f). Solve g(n) = 0.
0, 1/4, 1
Let n be (-3)/(-7) + 12 + 396/(-42). Let l(h) be the second derivative of 1/2*h**n + 9*h - 1/2*h**4 + 0 + 0*h**2 + 3/20*h**5. Solve l(k) = 0 for k.
0, 1
Let x(t) be the second derivative of -t**4/4 - 3*t**3/2 + 782*t. Suppose x(i) = 0. What is i?
-3, 0
Let d(w) be the third derivative of w**7/504 + 13*w**6/1080 - w**5/60 - 32*w**3/3 + w**2 + 3. Let k(n) be the first derivative of d(n). Factor k(m).
m*(m + 3)*(5*m - 2)/3
Let z(p) = 4*p**3 + 5*p - 4. Let x be z(1). Let -60*r**3 + 12*r**x + 502 + 22*r - 470 - 38*r**2 - 2*r**2 + 8*r**4 + 26*r = 0. What is r?
-2, -1, -2/3, 1, 2
Let x(k) = 3*k**3 + 9660*k**2 + 7708815*k + 7699209. Let z(d) = 15*d**2 - 3*d - 1. Let t(b) = -x(b) + 3*z(b). Determine o so that t(o) = 0.
-1602, -1
Let n = 60 + -57. Factor -18*w - 8*w**2 - 16*w**2 + 3*w**2 - 17*w**n + 14*w**3.
-3*w*(w + 1)*(w + 6)
Solve 2 - 474*r**2 + 46*r**5 + 510*r**2 - 42*r**5 - 36*r**4 - 44*r**3 + 40*r - 2 = 0 for r.
-1, 0, 1, 10
Let c(f) = -58*f + 236. Let b be c(4). Factor -12*a**2 - 29*a**2 - 18*a**2 - b*a**4 - 44*a**3 - 21*a**2 + 2*a**4.
-2*a**2*(a + 2)*(a + 20)
Let d(j) be the first derivative of -4*j**3/3 - 22*j**2/7 - 2186. Factor d(y).
-4*y*(7*y + 11)/7
Let a(p) be the second derivative of p**5/5 + 17*p**4/3 + 142*p**3/3 + 110*p**2 + 1144*p. Factor a(d).
4*(d + 1)*(d + 5)*(d + 11)
Let p(u) = -6*u**4 - 434*u**3 + 460*u**2 + 872*u. Let x(n) = 5*n**4 + 435*n**3 - 456*n**2 - 874*n. Let f(h) = -3*p(h) - 4*x(h). Factor f(y).
-2*y*(y - 2)*(y + 1)*(y + 220)
Let j(q) be the third derivative of -q**5/15 - 56*q**4/3 - 440*q**3/3 - 7770*q**2. Determine r, given that j(r) = 0.
-110, -2
Let r(w) be the second derivative of w**5/10 - 277*w**4/2 + 57685*w**3 - 172225*w**2 + 127*w + 5. Factor r(l).
2*(l - 415)**2*(l - 1)
Let o(g) be the third derivative of 1/20*g**5 + 0 - 1/4*g**4 - 2*g**3 + 0*g + 27*g**2 + 1/80*g**6. Factor o(m).
3*(m - 2)*(m + 2)**2/2
Let q(u) be the first derivative of -1/180*u**5 + 31/2*u**2 - 1/12*u**4 + 1/360*u**6 + 0*u**3 - 3 + 0*u. Let i(m) be the second derivative of q(m). Factor i(b).
b*(b - 3)*(b + 2)/3
Let o(v) = 2*v**3 + 424*v**2 + 443*v - 879. Let h(t) = -3*t**3 - 639*t**2 - 665*t + 1321. Let f(l) = -5*h(l) - 7*o(l). What is w in f(w) = 0?
-226, -2, 1
Let -842402 + 793*u**2 - 469*u - 2127*u - 108*u**2 - 687*u**2 = 0. What is u?
-649
Let u(b) = -21023*b - 105113. Let g be u(-5). Factor 0 + 2*o**g - 3*o - 1/4*o**3.
-o*(o - 6)*(o - 2)/4
Solve -30/11*y**3 + 40/11*y + 0 - 8/11*y**2 + 2/11*y**5 - 4/11*y**4 = 0.
-2, 0, 1, 5
Let w(n) be the second derivative of -2*n**7/147 - 32*n**6/35 - 81*n**5/7 + 4342*n**4/21 - 1152*n**3/7 - 46656*n**2/7 + 4071*n. Let w(h) = 0. Calculate h.
-27, -2, 4
Let m(c) be the first derivative of 6*c**5/5 + 35*c**4/4 - 32*c**3 - 585*c**2/2 + 100*c + 2731. Factor m(n).
(n - 4)*(n + 5)**2*(6*n - 1)
Suppose -6*f - 3*b = -f, f = 5*b + 28. Let l be (-1)/f - 48/(-9). Determine p so that 16*p - 24*p**4 - 171*p**3 + 247*p**3 - 64*p**2 + l - 5 = 0.
0, 1/2, 2/3, 2
Factor 3/8*h**2 - 21/8*h - 45/2.
3*(h - 12)*(h + 5)/8
Let z(j) = j**3 + 24*j**2 + 386*j + 8352. Let q be z(-23). Determine b, given that -16/5 - 2/5*b**q + 12/5*b + 6/5*b**2 = 0.
-2, 1, 4
Suppose -f = -4*a + 2*a + 96, 3*a = 5*f + 130. Suppose -47*t - 6 = -a*t. Factor 0 - 1/3*v - 1/6*v**t.
-v*(v + 2)/6
Let i(b) be the third derivative of -b**5/420 - 59*b**4/84 + 124*b**3/7 - 7*b**2 - 46*b - 1. Suppose i(p) = 0. What is p?
-124, 6
Let g be (9 - -1)*(12/16)/(91/182). Let s(c) be the first derivative of -g*c**2 - 6*c**3 + 50*c + 22 - 1/2*c**4. Factor s(f).
-2*(f - 1)*(f + 5)**2
Suppose 2*p - 571 - 1239 = 0. Let u = -116 + p. Factor -110*l + u + 6*l**2 - 184 - l**2.
5*(l - 11)**2
Let f(g) = g**3 - 32*g**2 - 62*g - 204. Let s be f(34). Factor -2/3*o + 0 + 2/3*o**3 + s*o**2.
2*o*(o - 1)*(o + 1)/3
Let y = 34 + 11. Suppose 72*h - y = 67*h. Find b such that -23 + h - 19*b + 2*b**2 + 31*b = 0.
-7, 1
Let b be (-5187)/(-6) - (-2 - 15/(-10)). Suppose b*g - 863*g = 0. Factor -4/7*f + g + 2/7*f**2.
2*f*(f - 2)/7
Let h(z) be the second derivative of -z**6/150 + 146*z**5/25 + z**4/60 - 292*z**3/15 + 4*z - 833. Solve h(u) = 0 for u.
-1, 0, 1, 584
Let i be (-2 - -1 - 13) + 191 + (-125121)/716. Factor -i*r**4 + 3/2*r**2 + 25/4*r**3 + 0 + 0*r.
-r**2*(r - 3)*(9*r + 2)/4
Let r(v) be the third derivative of v**5/210 - 15*v**4/28 - 48*v**3/7 - 2364*v**2. Let r(f) = 0. What is f?
-3, 48
Let d(a) be the third derivative of -a**6/600 + a**5/15 + a**4/120 - 2*a**3/3 + 367*a**2. Let d(h) = 0. Calculate h.
-1, 1, 20
Let o(k) be the first derivative of k**6/18 + 4*k**5/15 - k**4/3 - 22*k**3/9 + k**2/2 + 6*k - 3919. Find a, given that o(a) = 0.
-3, -1, 1, 2
Suppose 0 = -f + 3. Let d be -2 - -7 - (2 + -5 + f). Factor 7*v**4 + d - 2 + 2*v**2 - 4 - 2*v**5 + 2*v - 8*v**3.
-(v - 1)**4*(2*v + 1)
Let z be (2090/(-228) - (-2 + -6))*81/(-84). Let u(c) be the first derivative of -z*c**2 + 3/2*c - 5/4*c**3 - 25. Let u(n) = 0. What is n?
-1, 2/5
Let k = 65 + -454/7. Suppose 0 = -31*o + 1538 - 1538. Solve -k*b + 1/7*b**3 + 1/7*b**2 + o - 1/7*b**4 = 0.
-1, 0, 1
Suppose 4*w = -p + 6*w - 7, -5*p = 2*w - 25. Solve y**4 + 414*y**2 + 2*y**3 + 0*y**p - 413*y**2 = 0 for y.
-1, 0
Let r = 93538 + -280613/3. Factor -r*u**3 - 80/3*u + 100/3 - 19/3*u**2.
-(u - 1)*(u + 10)**2/3
Let z = 349/259 - -3/37. Let w = -7642 - -7645. Find l, given that -12/7*l + 0 - z*l**2 + 2/7*l**w = 0.
-1, 0, 6
Let m(z) be the first derivative of -z**6/180 - 13*z**5/60 + 7*z**4/6 + 26*z**3/3 + 47. Let x(c) be the third derivative of m(c). Factor x(t).
-2*(t - 1)*(t + 14)
Let g be (3712/116 - (20 + 4))*(-21)/(-20). Solve -9/5 + 51/5*w - g*w**2 = 0.
3/14, 1
Suppose 3*f + 13 = 8*w - 6*w, 4*w - 2*f - 14 = 0. Factor -11*t**2 + 0*t**3 + t**3 - 16 + t**2 + 2*t**w + 20*t.
(t - 4)*(t - 2)**2
Let p(b) = b**2 - b - 4. Let v(n) = 12*n**2 + 9*n + 20. Let y(r) = 44*p(r) - 4*v(r). Let y(f) = 0. What is f?
-16, -4
Let y be (-3*(-55)/(-1