5/3*u**2 + 10/3*u**5 = 0.
-1/2, 1, 446
Let c(x) = -x**4 + x**3 + x**2 - x. Let o(f) = -4*f**5 - 18*f**4 - 18*f**3 - 6*f**2 - 2*f. Let h be (-1)/(3 + 15/(-6)). Let s(d) = h*c(d) + o(d). Factor s(r).
-4*r**2*(r + 1)**2*(r + 2)
Let m(p) be the third derivative of -p**8/336 - 19*p**7/70 - 149*p**6/20 - 235*p**5/6 - 747*p**4/8 - 243*p**3/2 - 3195*p**2 - 2*p. Suppose m(q) = 0. What is q?
-27, -1
Let a = -18044/11 + 90264/55. What is z in -1/5*z**3 + a*z**2 - 1/5*z - 6/5 = 0?
-1, 2, 3
Let r(q) = q**3 - 2*q**2 - 4*q - 8. Let x be r(4). Determine z so that -13*z - 20*z**2 + 43 - 10*z**3 + 15*z - 12*z**2 + x*z**3 - 11 = 0.
-16, -1, 1
Suppose 98/3*n**2 + 68/3*n - 2*n**3 - 34/3*n**4 + 2/3*n**5 + 0 = 0. Calculate n.
-1, 0, 2, 17
Let q(x) = x**3 + 19*x**2. Let t(s) = s**3 + 55*s**2 - 55*s + 39. Let n(i) = 4*q(i) - 2*t(i). Find l such that n(l) = 0.
1, 3, 13
Let y = -131627 + 394882/3. Solve 0*c - y*c**3 - c**2 + 0 = 0 for c.
-3, 0
Suppose -43*o = -53*o + 50. Let g be 6/o*-25*(-6)/420. Factor 12/7 + g*n**2 - 12/7*n.
3*(n - 2)**2/7
Let f be (39/(-315))/((-28)/5 - -6). Let x = 1699/210 - f. Solve -6/5*k + 42/5*k**2 - x*k**4 + 6/5*k**3 + 0 = 0.
-1, 0, 1/7, 1
Factor -2303*j**3 - 18*j**2 + 2305*j**3 - 12 - 2*j**4 + 3*j**4 - j**2 + 28*j.
(j - 2)*(j - 1)**2*(j + 6)
Let h(f) = -5*f**3 - 619*f**2 - 1336*f - 245. Let r(p) = 5*p**3 + 620*p**2 + 1337*p + 246. Let n(g) = 4*h(g) + 3*r(g). Determine u, given that n(u) = 0.
-121, -2, -1/5
Suppose 0 = 2*l + 87*b - 83*b - 54, -l = -5*b + 22. Let n(a) be the third derivative of 0*a - 1/240*a**5 + 1/16*a**4 - 3/8*a**3 + l*a**2 + 0. Factor n(i).
-(i - 3)**2/4
Let p(y) = -7 + 2*y - 4 + 23 - 1 - 12. Let x(v) = 4*v**2 - 104*v + 412. Let o(q) = -12*p(q) - x(q). Find f, given that o(f) = 0.
10
Let m be 10/(-2) - (-14 + (2 - -3)). Let w be m/(-1) + -2*(-104)/48. Factor -13/3*j**2 + w - 10/3*j**3 - 2/3*j.
-(j + 1)*(2*j + 1)*(5*j - 1)/3
Let w = -823 + 1694. Suppose 15 - 3*q**2 + 42 + 841*q + 15 - w*q = 0. Calculate q.
-12, 2
Let u(y) be the first derivative of 2/3*y**3 + 0*y + y**5 - 7/4*y**4 + 154 + 0*y**2. Factor u(c).
c**2*(c - 1)*(5*c - 2)
Let d(w) = 52*w - 164. Let u be d(3). Let t be 4/18*(-6)/u. Factor 1/3 - 1/6*s**2 + t*s.
-(s - 2)*(s + 1)/6
Let x(i) be the third derivative of 432/13*i**3 - 31*i**2 + 36/65*i**5 + 2/65*i**6 + 72/13*i**4 - 2 + 1/1365*i**7 + 0*i. Find j, given that x(j) = 0.
-6
Let x = -20191 - -20194. Let h(i) be the second derivative of 1/7*i**7 + 24*i - 1/3*i**6 + 0 + 0*i**x + 0*i**2 + 1/6*i**4 + 1/10*i**5. Solve h(w) = 0.
-1/3, 0, 1
Let b(o) be the first derivative of 0*o**2 - 1/6*o**4 - 16/9*o**3 + 0*o - 29. Suppose b(w) = 0. Calculate w.
-8, 0
What is t in -444/7*t**2 + 30/7*t**3 + 3/7*t**4 - 855/7 + 1266/7*t = 0?
-19, 1, 3, 5
Let r(k) be the first derivative of 5*k**6/6 + 9*k**5 - 140*k**4 - 2949. Determine s so that r(s) = 0.
-16, 0, 7
Let c = -63 - -65. Let w be c - ((-9)/(-9))/(7/11). Find f such that -w*f - 1/7 - 3/7*f**2 - 1/7*f**3 = 0.
-1
Let p be (-44596)/252 + 5*4/180. Let w = -176 - p. Let 12/7*u**2 - w*u**3 + 3/7 - 10/7*u + 1/7*u**4 = 0. What is u?
1, 3
Suppose 140*z = 130*z + 30. Let h(c) be the first derivative of -16 - 2/11*c**z + 0*c + 0*c**4 + 2/55*c**5 - 2/11*c**2. Factor h(r).
2*r*(r - 2)*(r + 1)**2/11
Let v(k) be the first derivative of 0*k + 11/8*k**4 - 3*k**3 + 2*k**2 - 109 - 1/12*k**6 + 0*k**5. Determine h, given that v(h) = 0.
-4, 0, 1, 2
Let i = -1/602052 - -64218881/602052. Suppose -256/3*r + 10/3*r**3 + i - 2/3*r**4 + 12*r**2 = 0. Calculate r.
-5, 2, 4
Suppose -130/7*w + 372/7 + 2/7*w**2 = 0. What is w?
3, 62
Let w(a) = -a**2 - 2139*a + 2134. Let f(v) = -18*v**2 - 34224*v + 34143. Let s(t) = -2*f(t) + 33*w(t). Suppose s(b) = 0. What is b?
1, 712
Let p(y) be the third derivative of -6*y**7/35 - y**6/30 + 26*y**5/15 - 8*y**4/3 - 180*y**2 + 2*y. Factor p(n).
-4*n*(n - 1)*(n + 2)*(9*n - 8)
Factor -2141*u + 60*u**2 - 12*u**2 + 65*u**3 - 89*u**4 + 2171*u + 108*u**4 + u**5 + 29*u**2.
u*(u + 1)**2*(u + 2)*(u + 15)
Let c(b) = -3*b**4 - 146*b**3 - 2276*b**2 - 9768*b - 11616. Let r(d) = 3*d**4 + 147*d**3 + 2274*d**2 + 9768*d + 11616. Let p(u) = -3*c(u) - 4*r(u). Factor p(a).
-3*(a + 2)*(a + 4)*(a + 22)**2
Let p(j) = -60*j - 10. Let s be p(-4). Let x be (23/46)/(s/(-116) + 2). Determine g, given that -20*g**3 + 3*g + x*g**3 - 23*g**2 + 6*g - 7*g**2 = 0.
0, 1/3, 3
Let a(o) be the first derivative of 4*o**5/5 - 191*o**4 + 12287*o**3 - 18145*o**2 + 9025*o - 7454. Solve a(s) = 0 for s.
1/2, 95
Let y(d) be the first derivative of -d**7/2940 - 2*d**6/105 + d**5/420 + 2*d**4/7 - 295*d**3/3 - 124. Let z(g) be the third derivative of y(g). Factor z(t).
-2*(t - 1)*(t + 1)*(t + 24)/7
Let n(t) be the first derivative of 28*t + 0*t**2 + 1/33*t**3 - 3 - 1/66*t**4. Let m(l) be the first derivative of n(l). Solve m(o) = 0 for o.
0, 1
Determine l, given that 22*l**4 + 94/5*l**3 - 156/5*l**2 + 16 - 152/5*l + 24/5*l**5 = 0.
-2, 5/12, 1
Let p = 21470 + -21374. Factor p + 75/2*w**2 + 120*w.
3*(5*w + 8)**2/2
Solve 992*v - 1910*v - 3*v**3 - 4782*v - 368*v**2 - 27000 + 62*v**2 - 24*v**2 = 0 for v.
-90, -10
Let 82/7*l + 2/7*l**4 - 12 + 18/7*l**2 - 18/7*l**3 = 0. What is l?
-2, 1, 3, 7
Let m(s) = 13*s**2 - 517*s - 984. Let t(i) = -140*i**2 + 5685*i + 10825. Let n(r) = 65*m(r) + 6*t(r). What is w in n(w) = 0?
-99, -2
Let s(u) be the first derivative of -55/2*u**2 + 135 + 5/3*u**3 + 0*u. Find x, given that s(x) = 0.
0, 11
Let q(g) = 8*g**3 + 8*g**2 - 8*g + 16. Let u(y) = 2 + y**3 - 4 + y**2 - y + 3. Suppose 4*d = 40 + 8. Let j(z) = d*u(z) - q(z). Find b, given that j(b) = 0.
-1, 1
Let a = -11 - -19. Determine f so that -252*f + a + 279*f**2 + 154*f**2 + 155*f**2 + 19 = 0.
3/14
Let v = -3569 - -10712/3. Let n(o) be the second derivative of 1/2*o**5 - 5*o**2 + 0 - 1/3*o**6 - 5/6*o**3 - 5/42*o**7 + 11*o + v*o**4. Let n(t) = 0. What is t?
-2, -1, 1
Let c(k) be the third derivative of -1/210*k**7 + 0*k**5 + 2*k**2 - 2 + 0*k - 1/20*k**6 + 0*k**4 + 0*k**3. Factor c(a).
-a**3*(a + 6)
Let j(h) = h**2 + h - 44. Let z be j(7). Factor -60 - 38*s**2 + 43*s**2 - z*s + 7*s.
5*(s - 4)*(s + 3)
Let g be (1 + 2)/75*10/72. Let d(k) be the third derivative of -k**2 + 0 + 1/3*k**3 - 7/36*k**4 + 0*k - g*k**6 + 1/18*k**5. Factor d(y).
-2*(y - 3)*(y - 1)**2/3
Factor -327*x**2 - 342*x**2 + 664*x**2 - 1220 + 620*x.
-5*(x - 122)*(x - 2)
Suppose 3*a - 2*o = -4, 2*o = 2*a - 0*o + 4. Let u be a + ((-80)/(-140) - (-8)/(-14)). Suppose 0*v**3 + 0 + u*v**2 + 1/5*v**4 + 0*v = 0. Calculate v.
0
Let n(i) = 43*i**2 + 11139*i + 5589. Let v(j) = -32*j**2 - 8356*j - 4192. Let f(o) = 8*n(o) + 11*v(o). Determine y, given that f(y) = 0.
-350, -1/2
Let b(k) = 4*k**3 - 374*k**2 - 48*k. Let u(d) = -8*d**3 + 747*d**2 + 120*d. Let f(s) = 5*b(s) + 2*u(s). Factor f(z).
4*z**2*(z - 94)
Let i(g) be the first derivative of -g**4/32 + 3*g**3/8 + 21*g**2/16 - 169*g - 89. Let y(s) be the first derivative of i(s). Factor y(x).
-3*(x - 7)*(x + 1)/8
Suppose 6473 - 3263 = -32*v + 3274. Let r(z) = -z**2 - 5*z + 3. Let b be r(-5). Factor 3/4*l**5 + 0*l**b - 3*l**v + 0 + 0*l + 9/4*l**4.
3*l**2*(l - 1)*(l + 2)**2/4
Let c(s) be the third derivative of 0 + 1/35*s**5 + 57*s**2 - 2/3*s**3 + 0*s - 10/21*s**4. Determine v so that c(v) = 0.
-1/3, 7
Let -47105*s + 2860 + 23560*s + 22953*s + 4*s**2 = 0. What is s?
5, 143
Factor -3/4*n**3 - 99/4*n**2 + 171 + 147*n.
-3*(n - 6)*(n + 1)*(n + 38)/4
Let v(l) be the second derivative of 0*l**2 - 4/5*l**4 + 0 - 4/25*l**6 - 2/105*l**7 + 204*l - 13/25*l**5 - 8/15*l**3. Determine d, given that v(d) = 0.
-2, -1, 0
Suppose -2*x = 4*h - 2, -2*x + 20*h + 12 = 14*h. Suppose -1/10*t**x + 0 + 2/5*t + 3/10*t**2 = 0. Calculate t.
-1, 0, 4
Let o(j) = -45*j**2 - 145*j - 125. Let f(h) = 11*h**2 + 36*h + 31. Let s = 136 + -161. Let v(b) = s*f(b) - 6*o(b). Factor v(l).
-5*(l + 1)*(l + 5)
Find r such that 1056/5 + 3/5*r**2 + 114/5*r = 0.
-22, -16
Suppose 18*n + 27 = -45. Let p(r) = 3*r**3 - 31*r**2 + 5*r + 5. Let v(j) = 2*j**3 - 30*j**2 + 4*j + 4. Let g(y) = n*p(y) + 5*v(y). Factor g(s).
-2*s**2*(s + 13)
Solve 4/7*y**2 + 2/7*y**3 + 0 - 16/7*y = 0.
-4, 0, 2
Let a(u) = 17*u**4 - 57*u**3 + 104*u**2 - 96*u + 41. Let j(t) = 4*t**4 - 14*t**3 + 26*t**2 - 24*t + 10. Let l(v) = 2*a(v) - 9*j(v). Factor l(o).
-2*(o - 2)**2*(o - 1)**2
Let y(q) = q**3 + q**2 - 13*q + 3. Let s be 