155)
Let d(s) be the first derivative of -7*s**6/8 - 124*s**5/5 + 721*s**4/16 - 26*s**3/3 - 25*s**2/2 - 1215. Let d(b) = 0. What is b?
-25, -2/7, 0, 2/3, 1
Let d = -22 - -25. Let p(s) = -10*s**2 + 9*s + 3. Let m(w) = 12*w**2 - 8*w - 4. Let a(j) = d*m(j) + 4*p(j). Let a(y) = 0. What is y?
0, 3
Let c(v) be the second derivative of -v**6/15 + v**5 + 6*v**4 + 38*v**3/3 + 13*v**2 - 1138*v. Suppose c(y) = 0. What is y?
-1, 13
Let b be (1 + 25/(-10))*-18. Find k, given that -12*k**3 + 19*k**4 - 15*k**5 + 30*k**2 + 6 + b*k - 41*k**4 - 14*k**4 = 0.
-1, -2/5, 1
Suppose q = -2*d + 7, -52*q = -5*d - 56*q + 22. Let l be (151 - 1)/(-6)*-50. Suppose -l - 5/4*y**3 - 375*y - 75/2*y**d = 0. What is y?
-10
Suppose -2*u + 2 = j, 5*j + u + 9 = 64. Let y be 1*(7 + (-68)/j). Let 0*d**3 - y*d**2 + d**4 + 0 + 0*d + 1/3*d**5 = 0. Calculate d.
-2, 0, 1
Let v = 27252907/60 - 454226. Let t = v - -167/15. Factor 1/2 - t*o**2 + 1/4*o.
-(o - 2)*(o + 1)/4
Let u(z) be the second derivative of 0*z**2 + 0 + 116*z - 10/9*z**3 - 5/12*z**4. Determine q so that u(q) = 0.
-4/3, 0
Determine y, given that 35*y**4 - 201*y**2 + 169*y**2 - 264 + 399*y**3 + 155*y**2 + 3*y**5 + 61*y**4 + 45*y**4 - 402*y = 0.
-44, -2, -1, 1
Let s(j) be the second derivative of -j**5/10 - 7*j**4/3 - 43*j**3/3 - 30*j**2 + 349*j - 1. Solve s(x) = 0 for x.
-10, -3, -1
Let n(l) be the first derivative of 36*l - 8 + 1/3*l**3 - 6*l**2. Factor n(b).
(b - 6)**2
Let g(r) be the second derivative of -2*r**6/15 - 4*r**5 + 91*r**4/3 - 236*r**3/3 + 96*r**2 + 2*r + 315. Factor g(v).
-4*(v - 2)*(v - 1)**2*(v + 24)
Let o(w) be the first derivative of -w**6/360 - w**5/30 + 7*w**4/8 + 28*w**3 + 109. Let g(b) be the third derivative of o(b). Solve g(p) = 0.
-7, 3
Solve -2/13*j**3 + 18/13*j + 36/13 - 4/13*j**2 = 0 for j.
-3, -2, 3
Suppose -3*z + 5866 = -2*f, 5*f + 4438 = 3*z - 1425. Let o = z + -1956. Solve -2/7*u**2 + 2/7 + o*u = 0.
-1, 1
Let c(l) = -3*l**2 - 12*l + 2. Let w be c(-4). Factor -1180 + w*a**3 - 12*a + 1196 + 4*a**2 - 10*a**2.
2*(a - 4)*(a - 1)*(a + 2)
Let g(u) be the second derivative of -u**4/36 + 4*u**3/3 - 45*u**2/2 + 7769*u. Find p, given that g(p) = 0.
9, 15
Let j(u) = -2*u**3 + 31*u**2 - 118*u + 1067. Let y be j(14). Factor 11/7*o**y + 12/7*o - 40/7*o**2 + 0 + 3/7*o**4.
o*(o - 2)*(o + 6)*(3*o - 1)/7
Let i(n) = -9*n**2 - 16*n + 53. Let v(l) = 31*l**2 + 49*l - 160. Let r(a) = 21*i(a) + 6*v(a). Find u, given that r(u) = 0.
-17, 3
Let t be ((-76)/114)/(4/(-39)) - 2. Let d(i) be the second derivative of 0 - 6*i**2 - 6*i + 3/20*i**5 + t*i**3 - 3/2*i**4. Let d(r) = 0. What is r?
1, 4
Let h(l) = -750*l - 98. Let t be h(-7). Solve t + 70*w + 302*w - 5*w**2 - 4315 - 27482 + 358*w = 0 for w.
73
Let d = -12/64595 - -193833/258380. Determine l, given that 3*l + 0 + 39/4*l**3 - 9*l**2 - 9/2*l**4 + d*l**5 = 0.
0, 1, 2
Determine d, given that 30*d**2 + 168/5 - 296/5*d - 22/5*d**3 = 0.
1, 2, 42/11
Factor -160*a - 154*a**3 - 87*a - 4*a**4 + 42*a**3 - 584*a**2 + 184*a**2 - 137*a.
-4*a*(a + 2)**2*(a + 24)
Find w, given that 28/3*w**3 + 2/9*w**5 - 86/9*w - 40/3 - 32/9*w**4 + 152/9*w**2 = 0.
-1, 1, 5, 12
Let q(b) be the first derivative of -b**3/3 - 2*b**2 + 15*b + 236. Let y be q(-6). Factor -63/4*i**2 + 441/4*i - 1029/4 + 3/4*i**y.
3*(i - 7)**3/4
Let o(t) = -t**3 + 3*t**2 + 10*t + 6. Let f be o(5). Factor -c**3 + 0*c**3 - f*c**2 + 5*c**2.
-c**2*(c + 1)
Factor -250*o - 4140 + 4440 - 2*o**3 + 78*o**2 - 241*o + 78*o**2 + 37*o.
-2*(o - 75)*(o - 2)*(o - 1)
Let o(d) = -140*d**3 + 16 + 114*d**3 + 22 + 71*d**2 - 125*d. Let h(n) = 9*n**3 - 24*n**2 + 42*n - 12. Let z(c) = 17*h(c) + 6*o(c). Factor z(m).
-3*(m - 2)**3
Let t(o) = -o**3 + o**2 - o + 1. Let w(p) = 3*p**3 - 18*p**2 + 21*p - 2. Let x(s) = 44*t(s) + 4*w(s). Find l such that x(l) = 0.
-1, 9/8
Find b such that 6479*b**2 + 82*b**4 + 1/2*b**5 + 3442*b**3 - 6561 - 6885/2*b = 0.
-81, -2, -1, 1
Factor 7/4*w**3 + 9/2*w**2 + 0*w - 1/4*w**4 + 0.
-w**2*(w - 9)*(w + 2)/4
Let u be (-7)/(42/(-40)) - (42 + -36). Let m(r) be the first derivative of 1/2*r**4 + 32 - 5*r**2 - 6*r - u*r**3. Solve m(b) = 0.
-1, 3
Let n(t) = -t**2 - 8*t + 23. Let z be n(2). Let v = 36 - 31. Factor 24*o**3 - 2*o**3 + 3 - 4*o**2 + 2*o**z + v - 20*o.
4*(o + 1)*(2*o - 1)*(3*o - 2)
Let f(m) = -10*m**3 - 103*m**2 + 52*m + 823. Let b be f(-10). Solve -1 - 1/3*c**b + 1/3*c + c**2 = 0 for c.
-1, 1, 3
Let n = -365/8 - -46. Let k = 5963 - 5960. Factor 0 + n*v**5 - 3/8*v**2 + 0*v + 3/8*v**4 - 3/8*v**k.
3*v**2*(v - 1)*(v + 1)**2/8
Suppose 5*o = 16 - 1. Suppose 4*k + 7*k = -64*k. What is c in -2/5*c**4 + 4/5*c**o + 6/5*c**2 + 0*c + k = 0?
-1, 0, 3
Let k(b) be the third derivative of b**6/360 + b**5/40 - 7*b**4/6 + 61*b**3/6 - 2*b**2 + 18. Let f(g) be the first derivative of k(g). Factor f(x).
(x - 4)*(x + 7)
Let t(f) = -22*f**2 + 20*f - 122. Let w be t(6). Let c = -791 - w. Factor 0 - 2/3*k - 8/3*k**c + 10/3*k**2.
-2*k*(k - 1)*(4*k - 1)/3
Let y be (36/(21 - 9))/((-2)/(-6)). Suppose 54 = y*w + 36. Solve -1/2*i**3 + 0 + 0*i**w + 0*i = 0 for i.
0
Let a(t) = 12*t - 53*t + 0*t**2 + 15*t**2 - 24*t - 55. Let y(q) = -6 + 8*q + q**2 - 3*q**2 + 13. Let c(n) = -3*a(n) - 25*y(n). Factor c(l).
5*(l - 2)*(l + 1)
Let p(y) = -6*y**2 - 9*y - 2. Let t be p(-2). Let w(i) = -21*i**2 - 24*i - 9. Let b(r) = -r**3 - 62*r**2 - 73*r - 28. Let n(d) = t*w(d) + 3*b(d). Factor n(j).
-3*(j + 1)**2*(j + 4)
Let q be (12/(-30) + 1)/(8/40). Let n(u) be the first derivative of 244/21*u**q - 60/7*u**2 + 16/7*u - 3/2*u**4 - 14/5*u**5 - 13. Let n(p) = 0. What is p?
-2, 2/7, 1
Let m(x) be the third derivative of 0 + 0*x**3 + 1/40*x**5 - 152*x**2 + 1/2*x**4 + 0*x. What is d in m(d) = 0?
-8, 0
Let g = -72 + 149. Let d be (-4 - -3)*(-98)/g - 0. Suppose -2/11*n**4 + 10/11*n**3 + d*n - 18/11*n**2 - 4/11 = 0. What is n?
1, 2
Let d(b) be the third derivative of b**5/60 + 5*b**4/24 - b**3 + 25*b**2 - 7. Factor d(g).
(g - 1)*(g + 6)
Let k(m) = 15*m + 1 - 40*m - 15*m**2 + 44. Suppose g - 1 = 0, 4*g + 11 = 2*z + z. Let q(u) = -7*u**2 - 13*u + 22. Let n(c) = z*q(c) - 2*k(c). Factor n(o).
-5*(o - 1)*(o + 4)
Let i(r) = -r**3 + 5*r**2 + 6*r + 4. Let s be i(6). Suppose 32 + 152*p**2 + 4702*p**3 - 4802*p**3 + 22*p**s - 112*p - 4*p**5 + 10*p**4 = 0. What is p?
1, 2
Solve -1/6*i**3 - 3965/6*i + 3721/3 + 62/3*i**2 = 0.
2, 61
Suppose -6095*n + 6070*n = -100. Solve -1/5*t**n - 3*t**2 + 13/5*t - 4/5 + 7/5*t**3 = 0 for t.
1, 4
Let x be ((-26)/(-4))/((-37)/(-74)). Factor 5*a - 18 - x*a + 8*a + 2*a**2.
2*(a - 3)*(a + 3)
Let o(b) be the first derivative of b**3/24 + 2*b**2 + 32*b - 3605. Factor o(i).
(i + 16)**2/8
Let x = 4553 + -4553. Let j(y) be the third derivative of x*y + 0*y**3 - 31*y**2 - 1/24*y**4 - 1/40*y**5 + 0. Suppose j(o) = 0. Calculate o.
-2/3, 0
Let d(y) = -y**3 - y - 2. Let q(z) = -2*z**4 + 52*z**3 - 344*z**2 + 790*z - 612. Let k(b) = 2*d(b) - q(b). Factor k(m).
2*(m - 19)*(m - 4)*(m - 2)**2
Let q = 580414 + -580412. Determine v so that 6/5*v**3 + 8/5*v - 16/5*v**q + 0 = 0.
0, 2/3, 2
Let p(t) = -777*t**3 - 319*t**2 + 450*t - 4. Let d(u) = -1554*u**3 - 638*u**2 + 900*u - 6. Let w(s) = 2*d(s) - 5*p(s). Factor w(x).
(x + 1)*(7*x - 4)*(111*x - 2)
Let i = -183 - -337. Suppose -i*y + 160*y - 24 = 0. Let -10*v**y - 11*v + 4*v**5 + 7*v**2 + 7*v + v**2 + 2*v**4 = 0. Calculate v.
-1, 0, 1
Factor 3089*g**2 - 2*g**3 - 38*g + 208 + 3095*g**2 - 6170*g**2 + 178*g.
-2*(g - 13)*(g + 2)*(g + 4)
Suppose -32/3*d - 10*d**2 + 8/3 + 50/3*d**3 + 22/3*d**4 - 6*d**5 = 0. Calculate d.
-1, 2/9, 1, 2
Factor 1568/3*o + 224*o**2 + 1/3*o**4 + 0 - 18*o**3.
o*(o - 28)**2*(o + 2)/3
Solve -258/7*t**3 + 260/7*t**2 + 0*t - 2/7*t**4 + 0 = 0.
-130, 0, 1
Suppose -8*m + 12 = 4*m. Let f(b) = 2*b**4 + 11*b**3 - 15*b**2 - 2*b + 4. Let g(h) = h**4 - h**3 + h**2 - 1. Let t(u) = m*f(u) + 4*g(u). Factor t(z).
z*(z - 1)*(z + 2)*(6*z + 1)
Let k(o) = 4*o**2 + 73*o + 85. Let w be k(-17). Suppose -8/7*s**2 + 0 + 2/7*s**5 + w*s + 16/7*s**3 - 10/7*s**4 = 0. Calculate s.
0, 1, 2
Let m(z) be the second derivative of -z**6/30 + 4*z**5/5 + 55*z**4/12 + 19*z**3/3 + 2882*z. Factor m(h).
-h*(h - 19)*(h + 1)*(h + 2)
Let u be 2 - (11/1 - 3). Let c be (-1 + 6)/(-15)*u. Factor 2*x**2 - 2*x**3 + 2*x - 3*x**2 - 4 + 5*x**c.
-2*(x - 2)*(x - 1)*(x + 1)
Let 924 - 1312*h + 370561 - 4*h**2 + 58851 + 5*h**2 = 0. Calculate h.
656
Factor 43*p + 1/4*p*