 k.
-2, 2, 59
Suppose 62*g - 565 = -46*g + 83. Let d(s) be the first derivative of 34 - g*s + s**3 + 3/2*s**2. What is n in d(n) = 0?
-2, 1
Let w = -491/612 + 115/68. Suppose -2/9*q**2 + w*q - 8/9 = 0. Calculate q.
2
Suppose 21*v = 59*v + 48070. Let s = -1261 - v. Factor 0*p + 6/5*p**3 + 0 + 2/5*p**s + 0*p**2.
2*p**3*(p + 3)/5
Let r be (0 - 4) + 2 - (0 - 5). Determine l, given that -3*l**4 + 9*l**2 - 6*l + 95*l**3 - 95*l**r = 0.
-2, 0, 1
Find g such that 33/4*g**2 + 3/4*g**3 - 12825/4 - 1035/4*g = 0.
-15, 19
Suppose 535*h - 531*h + 5400 = 0. Let m = 6762/5 + h. What is r in -m + 6*r + 6/5*r**3 - 24/5*r**2 = 0?
1, 2
Let s(x) be the third derivative of -x**7/140 - 7*x**6/90 - 13*x**5/60 + x**4/2 + 55*x**3/6 - 5*x**2. Let n(k) be the first derivative of s(k). Factor n(f).
-2*(f + 2)*(f + 3)*(3*f - 1)
Let f(i) be the third derivative of i**9/1890 + 19*i**8/1120 + i**7/90 + i**4/12 + 5*i**3/6 + 10*i**2. Let o(q) be the second derivative of f(q). Factor o(n).
2*n**2*(n + 14)*(4*n + 1)
Determine n so that 80*n**2 - 136*n**3 + 39*n**3 + 61*n**3 - 1152 + 40*n**3 - 432*n = 0.
-24, -2, 6
Let t be 4 + (-8)/((-3168)/(-1578)) + 0. Let a(y) be the second derivative of 16/11*y**2 - 7*y + 0 - 8/33*y**3 + t*y**4. Let a(q) = 0. Calculate q.
4
Let r(a) = -4684*a + 2. Let p be r(0). Suppose -3/2*q**4 + 3/2*q**p + 0*q + 0 + 0*q**3 = 0. What is q?
-1, 0, 1
Let 5*x**2 - 3045*x + 3333*x - 3228*x + 2160900 - 4*x**2 = 0. What is x?
1470
Solve -24*n**3 + 8*n - 5/2*n**5 + 0 + 8*n**2 + 14*n**4 = 0.
-2/5, 0, 2
Let q(l) = -16*l**4 + 9*l**3 - 5*l + 6. Let s(h) = h**4 + h**3 - 1. Let o be (-10)/4*(-1 - 9) - 2. Let y = o + -24. Let b(z) = y*q(z) - 6*s(z). Factor b(p).
5*p*(p - 1)**2*(2*p + 1)
Let o = -518 - -1280. Let p = 765 - o. Factor 0 + 2/3*n**2 + 1/6*n**p + 1/2*n.
n*(n + 1)*(n + 3)/6
Suppose y + 249 - 244 = 0. Let g(i) = 2*i**3 - 49*i**2 + 24*i - 5. Let f(a) = -48*a**2 + 24*a - 4. Let m(w) = y*f(w) + 4*g(w). Determine n so that m(n) = 0.
-6, 0, 1/2
Let c be (6 + -2)/(6/48). Let k = c - 28. Find s such that 16*s - 17*s**3 + 2*s**4 - 742 + 7*s**3 + 2*s**k + 750 - 6*s**2 = 0.
-1, -1/2, 2
Let t(q) = -53*q**2 - 19*q + 2. Let a be t(0). Factor 3/2*r**a - 33/4 - 27/4*r.
3*(r + 1)*(2*r - 11)/4
Let v(b) be the second derivative of -1/24*b**4 - 16*b - 441/4*b**2 + 0 - 7/2*b**3. Determine l, given that v(l) = 0.
-21
Factor 494/11*s - 246/11 + 2/11*s**3 - 250/11*s**2.
2*(s - 123)*(s - 1)**2/11
Let k be ((-4)/(-18) + 0)/(32705/19623). Let -k*h**3 - 2/5*h + 2/5*h**2 + 2/15 = 0. What is h?
1
Suppose -x + 24 = 4*j - 5*x, -4*j + 2*x = -32. Let d(u) = -u**2 - 6*u + 4. Let z be d(-6). Solve -4*a**2 + 5 + 2*a**z + 3 + 4*a**2 - j*a**2 = 0.
-2, -1, 1, 2
Let r(c) = 7*c**4 - 36*c**3 + 101*c**2 - 68*c + 8. Let a(v) = 6*v**4 - 36*v**3 + 102*v**2 - 69*v + 6. Let k(y) = -4*a(y) + 3*r(y). Factor k(z).
-3*z*(z - 8)*(z - 3)*(z - 1)
Let n(x) be the first derivative of 42/11*x + 1/11*x**2 - 1/22*x**4 + 49 - 14/11*x**3. Suppose n(r) = 0. Calculate r.
-21, -1, 1
Let x(r) be the first derivative of -r**6/6 + 4*r**5/5 + 45*r**4/4 + 20*r**3/3 - 82*r**2 - 144*r + 6610. Determine z, given that x(z) = 0.
-4, -2, -1, 2, 9
Suppose -z - 34 = -4*z + 5*l, -z = -l - 12. Suppose 2*m - 5 = -2*g + 3*m, z = 4*g - 5*m. Factor -1/2*p**3 + p**4 - 3/2*p**g + 1/2 + 1/2*p.
(p - 1)**2*(p + 1)*(2*p + 1)/2
Let a(h) be the first derivative of 5*h**4/4 + 140*h**3/3 + 320*h**2 - 5120*h - 1097. Factor a(k).
5*(k - 4)*(k + 16)**2
Let x(f) be the first derivative of -19/2*f**2 - 1/90*f**6 - 17 + 0*f**3 - 4/45*f**5 + 0*f + 5/18*f**4. Let o(q) be the second derivative of x(q). Factor o(y).
-4*y*(y - 1)*(y + 5)/3
Let l(z) be the second derivative of z**5/5 + 10*z**4/3 - 74*z**3/3 + 52*z**2 + 1283*z. Factor l(a).
4*(a - 2)*(a - 1)*(a + 13)
Let t(i) = -174*i**5 - 166*i**4 - 74*i**3 - 46*i**2 + 12. Let c(h) = -8*h**5 - h**4 - 4*h**2 + 1. Let x(q) = -12*c(q) + t(q). Factor x(k).
-2*k**2*(k + 1)**2*(39*k - 1)
Let w(x) be the third derivative of -x**8/15120 - x**7/180 + 53*x**5/20 - 30*x**2. Let v(o) be the third derivative of w(o). Factor v(g).
-4*g*(g + 21)/3
Let g(s) be the second derivative of s**8/336 - s**6/36 + 5*s**4/24 - 22*s**3/3 + 27*s + 1. Let h(v) be the second derivative of g(v). Solve h(f) = 0.
-1, 1
Let y(b) be the first derivative of b**3/27 + 491*b**2/18 - 276. Determine r, given that y(r) = 0.
-491, 0
Let i(g) = g**3 + g**2 + 13*g. Let f(q) = 20*q**3 + 224*q**2 - 444*q + 440. Let d(m) = -f(m) + 16*i(m). Find s, given that d(s) = 0.
-55, 1, 2
Let m = -125463/4 - -31366. Let p(b) be the second derivative of -3/2*b**3 - 13*b + 0 - m*b**4 - 3*b**2. Factor p(s).
-3*(s + 1)*(s + 2)
Let p(r) = -2*r**3 + r - 1. Let j(q) = 9*q**3 - 2*q**2 + 11. Let s(u) = -j(u) - 5*p(u). Suppose s(z) = 0. What is z?
-3, -1, 2
Determine i, given that 592/3*i + 292/3*i**2 + 0 - 2/3*i**3 = 0.
-2, 0, 148
Factor -600*p**2 - 8*p + 301*p**2 + 30*p + 304*p**2 + 38*p.
5*p*(p + 12)
Let t(u) be the first derivative of -5*u**4/4 + 1350*u**3 - 546750*u**2 + 98415000*u - 571. Factor t(g).
-5*(g - 270)**3
Let m(o) be the second derivative of o**5/60 - 65*o**4/12 + 1568*o**3/3 + 4802*o**2/3 - 4840*o. Let m(i) = 0. What is i?
-1, 98
Let d be (-40)/45*27/(-6). Find l, given that 18*l**2 - 45*l**d - 35*l**5 + 5*l**2 + 60*l**3 - 3*l**2 = 0.
-2, -2/7, 0, 1
Let z(b) be the second derivative of b**7/3360 - b**5/120 + 5*b**3/2 - b**2 + 3*b - 6. Let u(d) be the second derivative of z(d). Determine w so that u(w) = 0.
-2, 0, 2
Let o = -5 - -11. Suppose o*q - 17 + 5 = 0. Factor 25 - 5*a**2 + 30*a + 0*a**q + 10.
-5*(a - 7)*(a + 1)
Let p(z) be the third derivative of -z**9/11340 - z**8/6720 + z**7/7560 - 13*z**4/24 - 8*z**2. Let q(o) be the second derivative of p(o). Factor q(c).
-c**2*(c + 1)*(4*c - 1)/3
Let a(k) be the second derivative of 1/140*k**5 + 3/7*k**2 - 1/21*k**4 - 4 - 14*k + 1/42*k**3. Factor a(l).
(l - 3)*(l - 2)*(l + 1)/7
Factor -5*d**2 + 2*d**2 - 50 + 15*d + 8*d**2.
5*(d - 2)*(d + 5)
Let w(t) = -t**2 + 2*t + 10. Let g be w(-2). Solve 9*x - 8*x**2 - 4*x**3 - 15*x + g*x = 0.
-1, 0
Let w = -217/73 - -4228/219. Let r(a) be the first derivative of 35/6*a**2 + 1/12*a**4 - w*a - 6 + 13/9*a**3. Factor r(c).
(c - 1)*(c + 7)**2/3
Let o = 55 - 88. Let c = o + 36. Factor -177*s**c + 5*s + 3*s + 247*s**3 + 48*s**2.
2*s*(5*s + 2)*(7*s + 2)
Let a(k) = -k**2 - 69*k - 365. Let v be a(-47). Solve 278 - 2355*j - 35*j**2 - v - 279 = 0.
-67, -2/7
Factor -23 + 12 + 11 + 13202*u**3 - 13206*u**3 - 492*u - 176*u**2.
-4*u*(u + 3)*(u + 41)
Let s be (-2)/(-6) - (-2)/(-6). Suppose 4*w + 0*w - 8 = s. Let -6*a**4 - 5*a**w + 6*a**3 + 3*a**2 - 2*a**5 + 4*a**5 = 0. Calculate a.
0, 1
Let 2/7*w**2 - 402/7*w - 1224/7 = 0. Calculate w.
-3, 204
Let s(c) be the third derivative of c**6/660 + 19*c**5/110 + 261*c**4/44 - 841*c**3/33 + 888*c**2. What is a in s(a) = 0?
-29, 1
Suppose -183 = -38*p - 69. Let r be (-32)/(-38)*(-33)/(-44). Suppose -2/19*f**4 - 4/19*f**5 - 4/19*f - 2/19*f**2 + 0 + r*f**p = 0. Calculate f.
-2, -1/2, 0, 1
Let k(p) = -2*p**4 + 4*p**3 + 4*p**2 - 4*p. Let t(o) = -2*o**4 + 3*o**3 + 5*o**2 - 3*o. Let m = 9 + -13. Let s(r) = m*t(r) + 3*k(r). Let s(g) = 0. Calculate g.
-2, 0, 2
Determine s so that -130*s - 146*s - 153*s - 3*s**2 = 0.
-143, 0
Let a(i) be the first derivative of -i**3 - 5/2*i**2 - 7/3*i + 40 - 1/12*i**4. Factor a(g).
-(g + 1)**2*(g + 7)/3
Factor -392/5 - 88/5*o**2 + 482/5*o - 2/5*o**3.
-2*(o - 4)*(o - 1)*(o + 49)/5
Let p(s) = -7*s**2 + 22*s + 58. Let x(k) = 12*k**2 + 69*k**2 - 117*k**2 + 289 + 111*k. Let j(q) = 11*p(q) - 2*x(q). Factor j(y).
-5*(y - 6)*(y + 2)
Let o be 3 - 1 - (4 - -8 - 8). Let n(w) = 111*w**2 + 5*w + 4. Let b be n(o). Factor b*x**2 - 10 - 2*x - 458*x**2 - 5*x**3 - 23*x.
-5*(x + 1)**2*(x + 2)
Let a(w) = 80*w**3 - 1648*w**2 + 809*w - 92. Let u(o) = -320*o**3 + 6590*o**2 - 3235*o + 370. Let z(g) = 15*a(g) + 4*u(g). Suppose z(n) = 0. Calculate n.
1/4, 20
Let b(s) be the second derivative of -7*s**4/6 + 3302*s**3/3 + 944*s**2 - 1126*s. Find t such that b(t) = 0.
-2/7, 472
Let i(t) be the first derivative of 11/3*t**2 + 2/9*t**3 + 12*t - 70. Factor i(r).
2*(r + 2)*(r + 9)/3
Let f(l) be the third derivative of l**8/2016 - l**7/315 - 7*l**6/180 - 4*l**5/45 - 26*l**2 - 5*l. Factor f(u).
u**2*(u - 8)*(u + 2)**2/6
Let u = 367 + -364. What is r in -16409 - 5*r**4