3 = 0.
-1/27, 0, 1, 2
Suppose -n - 436 = -15*i + 11*i, -i = 4*n - 92. Let a = -104 + i. Solve -2/5*s + 2/5*s**2 - 2/5*s**a + 2/5*s**3 + 0 = 0 for s.
-1, 0, 1
Let u(o) = -5*o**3 - 490*o**2 - 385*o + 820. Let q(y) = y**3 + 123*y**2 + 96*y - 204. Let g(h) = 15*q(h) + 4*u(h). Solve g(l) = 0.
-22, -2, 1
Let l(d) be the first derivative of -d**5 + 65*d**4/8 - 10*d**3/3 - 65*d**2/4 + 15*d - 1892. Suppose l(y) = 0. What is y?
-1, 1/2, 1, 6
Suppose 240 = 29*c + c. Suppose 0 = -4*p - w + 8, -c = -0*p - 4*p - 5*w. Let 2*f**4 + 0*f - 6/5*f**3 - 18/5*f**p - 2/5*f**5 + 0 = 0. Calculate f.
-1, 0, 3
Let v(p) be the second derivative of 7*p**3 - 1/20*p**4 + 0 - 735/2*p**2 - 34*p. Let v(s) = 0. Calculate s.
35
Let a(c) be the first derivative of -c**4 - 172*c**3/3 - 164*c**2 - 1364. Find w, given that a(w) = 0.
-41, -2, 0
Let z = -82 + 75. Let g be (z + 106/14)/((-2)/(-7)). Solve 37*r**g + 36 + r**4 - 109*r**3 + 60*r + 227*r**3 - 108*r**3 = 0.
-3, -2
Suppose -50/3*x**4 + 90*x + 28/3 + 598/3*x**2 - 90*x**3 = 0. What is x?
-7, -1/5, 2
Let u(z) be the first derivative of -36*z**5/5 + 42*z**4 - 100*z**3/3 + 8*z**2 - 2547. Factor u(x).
-4*x*(x - 4)*(3*x - 1)**2
Let f(v) be the third derivative of -v**5/240 + 17*v**4/96 + 55*v**3/12 - 3855*v**2. Find p, given that f(p) = 0.
-5, 22
Let b(k) be the third derivative of -k**5/120 + 5*k**4/8 - 12*k**3 - 2363*k**2. Solve b(a) = 0.
6, 24
Let h be ((-182)/(-455))/(2/10). Factor 50 + 12*w - 5*w**h - 45*w - w - 11*w.
-5*(w - 1)*(w + 10)
Suppose -p + 23 = 15*a - 20*a, 4*a = 3*p - 25. Let n(t) be the first derivative of -t + 1/4*t**2 + 1/3*t**p - 1/8*t**4 + 9. Factor n(j).
-(j - 2)*(j - 1)*(j + 1)/2
Let f be 138/(-3) + (-37947)/(-819). Factor 5/3*q**3 - 8/3*q**2 + f*q + 2/3.
(q - 1)**2*(5*q + 2)/3
Let r = 1821 - 1808. Let t(h) be the first derivative of 0*h - r + 2/3*h**2 + 2/9*h**3. Determine x so that t(x) = 0.
-2, 0
Let p = -2 + 9. Let a be (21/(-42))/(p/(-6) + 1). Determine f so that 12*f**2 + f**3 - 4*f**4 + 8 + 0*f**3 + 20*f - 5*f**a = 0.
-1, 2
Suppose -n - 1 = -j, -4*j + 5*j + 5*n = 31. Let b(k) = -50*k + 300. Let s be b(j). Factor 1/4*d**3 + d + s - d**2.
d*(d - 2)**2/4
Suppose 50*m - 14 = -5*d + 52*m, 0 = -8*d + 2*m + 44. Factor -2/3*x**4 - 18*x**2 + 0 + d*x**3 + 26/3*x.
-2*x*(x - 13)*(x - 1)**2/3
Let s(c) be the second derivative of 7*c - 17/21*c**6 + 0*c**2 - 527/70*c**5 - 150/7*c**3 - 1/49*c**7 + 355/14*c**4 + 16. Determine p so that s(p) = 0.
-15, 0, 2/3, 1
Let i(l) be the first derivative of 39/4*l**2 + 0*l + 1/2*l**3 - 59. Factor i(o).
3*o*(o + 13)/2
Let l(b) = -b**3 - b**2 - 2*b + 84. Let t be l(0). Let x = t - 81. Suppose -25*h**x - 20*h**2 + 7 - 4*h - 7 = 0. Calculate h.
-2/5, 0
Let y(u) be the second derivative of -u**5/270 - 5*u**4/18 - 29*u**3/27 - 58*u**2 - 2*u - 86. Let k(q) be the first derivative of y(q). Factor k(w).
-2*(w + 1)*(w + 29)/9
Suppose 3906574*y**2 + 1671*y + 834 - 1045*y**4 - 3*y**5 + 205*y**4 - 3906568*y**2 - 1668*y**3 = 0. Calculate y.
-278, -1, 1
Let n = 1723004/7 - 246142. Factor -n + 2/7*l**2 + 8/7*l.
2*(l - 1)*(l + 5)/7
Let t be (8/17)/(-4) - (-848)/4896. Let c(g) be the second derivative of -38*g + 0*g**5 - t*g**4 + 0*g**3 + 1/45*g**6 + 0*g**2 + 0. Let c(a) = 0. What is a?
-1, 0, 1
Let l(o) be the second derivative of o**9/7560 - o**8/3360 - o**7/630 + o**4/6 + 9*o**2 + 9*o + 2. Let k(v) be the third derivative of l(v). Factor k(x).
2*x**2*(x - 2)*(x + 1)
Factor 12372 - 5082*o + 50*o**2 - 60288 - 6307*o**3 - 125*o**2 - 101*o**2 + 6305*o**3.
-2*(o + 22)*(o + 33)**2
Let d be -2*(7 - 4 - 2). Let c be (-105)/(-42) - d/4. Let -3 + 0 - 9*h - 1 - c*h**2 - 2 = 0. What is h?
-2, -1
Let q(x) be the second derivative of -11/3*x**3 + 0 + 353*x - 28*x**2 - 1/6*x**4. Find k, given that q(k) = 0.
-7, -4
Let j(m) be the third derivative of m**7/42 - 5*m**6/6 + 43*m**5/12 + 145*m**4 - 600*m**3 + 3260*m**2. Determine k so that j(k) = 0.
-5, 1, 12
Let j = 592 - 672. Let y be (-1)/3 - j/24. Find p, given that -2*p**2 + 2/3*p**y + 4/3*p + 0 = 0.
0, 1, 2
Let y(p) be the first derivative of 0*p - 86*p**2 - 4/3*p**3 - 50. Factor y(c).
-4*c*(c + 43)
Let c(d) be the second derivative of -2*d**6/45 - 59*d**5/60 + 79*d**4/36 - 8*d**3/9 - 1303*d. Find v, given that c(v) = 0.
-16, 0, 1/4, 1
Suppose 4674 - 4534 = -5*q. Let f be 66/q*192/(-144). Factor 20/7*y + f - 2/7*y**2.
-2*(y - 11)*(y + 1)/7
Let f(w) = -3*w**2 + 1874*w + 695. Let u(d) = 3*d**2 - 1877*d - 682. Let x(j) = 4*f(j) + 5*u(j). Let x(t) = 0. Calculate t.
-1/3, 630
Let s(m) be the second derivative of m**4/6 - 8*m**3 + 95*m**2 + 7629*m. Factor s(v).
2*(v - 19)*(v - 5)
Let x be (-21)/12 - 119/588*-51. Let -x - 18/7*j**2 - 274/7*j = 0. Calculate j.
-15, -2/9
Let t(i) = -205*i**2 + 5110*i. Let v(f) = 33*f**2 - 852*f. Let s(a) = 4*t(a) + 25*v(a). Factor s(o).
5*o*(o - 172)
Let a = -1897/269 - -14837/807. Factor 0 + 14/9*s**2 + a*s.
2*s*(7*s + 51)/9
Suppose 2*b = -2*a + 10, -14*a + 18*a = 8. Let n(f) be the second derivative of b*f**2 + 0 + 1/2*f**3 - 1/4*f**4 - 16*f. Factor n(y).
-3*(y - 2)*(y + 1)
Let n(d) be the first derivative of -111 + 1/2*d**3 + 0*d - 27/4*d**2. Factor n(o).
3*o*(o - 9)/2
Suppose 9/2 + 9/4*u - 1/4*u**3 - 1/2*u**2 = 0. Calculate u.
-3, -2, 3
Let x(v) be the first derivative of v**3/12 - 159*v**2/2 + 635*v/4 + 8371. Determine o, given that x(o) = 0.
1, 635
Let s be (-18 + 16)*2/248. Let b = s + 563/310. Factor -b*i**2 - 3*i**3 + 3/5*i**5 + 0 - 3/5*i**4 + 0*i.
3*i**2*(i - 3)*(i + 1)**2/5
Determine b, given that 2/9*b**2 + 784/9*b + 782/9 = 0.
-391, -1
Let u(t) be the third derivative of -1/300*t**5 + 0 + 146*t**2 + 2/15*t**3 + 0*t - 1/40*t**4. Factor u(y).
-(y - 1)*(y + 4)/5
Let s(v) be the second derivative of -v**5/10 - 16*v**4 + 65*v**3 - 98*v**2 + 313*v - 2. What is b in s(b) = 0?
-98, 1
Let p be (5880/7056)/((-10)/(-72)). Factor p*q**2 + 8/3*q**3 + 0 + 4/3*q.
2*q*(q + 2)*(4*q + 1)/3
Let k(g) = -8*g**4 - 84*g**3 - 176*g**2 + 76*g + 188. Let m(t) = t**4 + 2*t**3 - 3*t**2 + 1. Let f(o) = -k(o) - 4*m(o). Determine s so that f(s) = 0.
-16, -3, -1, 1
Let a = -135 + 143. Determine f, given that 0*f**2 + 3*f**2 - a*f**2 - 4*f**3 + f**2 = 0.
-1, 0
Suppose -200*n**2 + 166*n**3 + 860*n**2 - 5*n**5 - 5*n - 330 - 156*n**3 - 330*n**4 = 0. Calculate n.
-66, -1, 1
Let z(h) = 4*h**3 - 2*h**2 + h + 1. Let p(a) = 83*a**3 - 26*a**2 + a - 379. Let x(v) = -2*p(v) + 42*z(v). Suppose x(q) = 0. What is q?
-4, 10
Let a(z) be the third derivative of -z**8/1344 + 31*z**7/840 + 7*z**6/80 - 41*z**5/30 + 8*z**4/3 + 7883*z**2. Let a(v) = 0. What is v?
-4, 0, 1, 2, 32
Let r = 4/9693 + 4304/9693. Determine x so that -2/9*x**5 + 0*x**4 - 2/9*x + 0*x**2 + 0 + r*x**3 = 0.
-1, 0, 1
Let p(v) = -v**2 - 1. Let a be p(-1). Let o be (a/(-3))/2 + (-46 - -46). Factor 0*i + o*i**3 - 4/3 + i**2.
(i - 1)*(i + 2)**2/3
Let s(w) = -210*w**2 - 315*w - 270. Let v(y) = -10*y**2 + 5*y**2 - 35*y - 7*y**2 - 30 - 10*y**2 - y**2. Let i(h) = 6*s(h) - 55*v(h). Factor i(n).
5*(n + 1)*(n + 6)
Let c(u) = -5*u - 11. Let w be c(-3). Suppose d + 15 = w*d. Solve 15*a**d + 46 - 30*a**2 + 60*a - 63 + 41 + 6*a**4 - 75*a**3 = 0 for a.
-2, -1, -2/5, 1, 2
Suppose -4*w**3 + 1009 + 143 + 4*w**4 - 351*w + 176*w + 175*w - 152*w**2 = 0. What is w?
-4, 3, 6
Let b(d) be the first derivative of 230*d**3/3 + 15*d**2/2 + 3853. Factor b(i).
5*i*(46*i + 3)
Let f(k) = -k**4 + k**3 + k - 3. Let o(d) = 11*d**4 + d**3 + 2*d**2 - 6*d + 18. Let u(c) = -30*f(c) - 5*o(c). Suppose u(b) = 0. What is b?
-1, -2/5, 0
Let s(h) be the third derivative of 2*h**7/105 + 22*h**6/5 + 4966*h**5/15 + 6710*h**4 + 186050*h**3/3 - 2536*h**2. Factor s(f).
4*(f + 5)**2*(f + 61)**2
Let r(s) = -5*s**3 + 2*s**2 - 7*s + 26. Let i(u) = -u**3 + u**2 - 2*u + 6. Let j(p) = -4*i(p) + r(p). Factor j(z).
-(z - 1)*(z + 1)*(z + 2)
Let r(n) be the first derivative of -n**5 + 5*n**4 - 3 - 25/3*n**3 + 5*n**2 + 0*n. Factor r(q).
-5*q*(q - 2)*(q - 1)**2
Let i(w) be the first derivative of -3*w**4 + 1364*w**3/3 + 232*w**2 - 912*w - 6240. Determine z so that i(z) = 0.
-1, 2/3, 114
Suppose 0 = -4*l + 5*y + 21, 3*l = -2*y + 33. Suppose 5*g**4 + 2*g**2 + 4*g - 7*g**2 - l*g + 5*g**3 = 0. What is g?
-1, 0, 1
Let c(m) be the first derivative of 1/16*m**4 + 1/20*m**5 - 1/12*m**3 - 1/8*m**2 + 26 + 0*m. Factor c(k).
k*(k - 1)*(k + 1)**2/4
Let s = 333 - 133. Determine