)*(z + 1)**2/7
Suppose 22 = 5*y - 4*b - 15, y = -5*b - 10. Let 2*u**5 - 100*u**2 - 5*u**y - 110*u**4 - 4*u**5 + 165*u**3 + 17*u**5 + 20*u + 15*u**5 = 0. Calculate u.
0, 2/5, 1, 2
Let -3*x**2 + 4 + 12*x**2 - 9 + 69*x - 12 - 7 = 0. What is x?
-8, 1/3
Suppose 1316*n = 1318*n + m - 4, n = 4*m + 20. Find l, given that 48/7*l**2 + 0 - 16/7*l**3 + n*l = 0.
-1/2, 0, 7/2
Let o(u) = -9 + 3*u - 3*u**2 - 18*u + 4*u + 5*u. Let f(a) = -3*a**2 - 6*a - 8. Let d(c) = 6*f(c) - 5*o(c). Factor d(h).
-3*(h + 1)**2
Suppose 81*x + 60 = 117 + 105. Factor -2/3*v - 1/3*v**x + 1/3*v**3 + 0.
v*(v - 2)*(v + 1)/3
Suppose -4*g + 32 = -968*s + 966*s, -5*s = 30. Let o(m) be the first derivative of 0*m**2 - 4/15*m**3 + 13/30*m**4 + 0*m + 2/15*m**g - 43. Factor o(n).
2*n**2*(n + 3)*(5*n - 2)/15
Let t(w) be the third derivative of w**8/672 - 3*w**7/140 + w**6/16 - 7*w**5/120 + w**2 + 321. Factor t(n).
n**2*(n - 7)*(n - 1)**2/2
Let s = 31 + -29. Let w be ((-10)/(-25))/(18/(-10) + s). Determine x so that -2*x**w + 4*x**3 + x - 3*x**3 + 0*x = 0.
0, 1
Let v(t) be the first derivative of t**6/7 - 4*t**5/5 + 19*t**4/14 - 8*t**3/21 - 4*t**2/7 + 4738. Suppose v(j) = 0. Calculate j.
-1/3, 0, 1, 2
Let o(c) be the first derivative of 1/15*c**3 + 48 + 27/10*c**2 - 28/5*c. Factor o(h).
(h - 1)*(h + 28)/5
Factor -4394/3*s**3 + 9216000 + 81120*s**2 - 1497600*s.
-2*(13*s - 240)**3/3
Let c(h) be the first derivative of 3/4*h**4 - 3/2*h**2 + 227 + 4*h**3 - 12*h. Solve c(p) = 0 for p.
-4, -1, 1
Let a be (-10)/35 + 23/7. Let f(t) = 7*t**3 - 456*t**2 + 66*t - 61. Let x be f(65). Factor -9*z**3 + z**x + a*z + 5*z + z**5 + 3*z**3 - 4*z**2.
z*(z - 2)*(z - 1)*(z + 2)**2
Let m(q) be the second derivative of q**4/48 - 63*q**3/8 - 95*q**2/4 - 333*q - 5. Solve m(w) = 0 for w.
-1, 190
What is v in 1598*v + 108 + 1637*v - 3345*v + v**2 + v**2 = 0?
1, 54
Let p(x) be the third derivative of x**7/2940 - x**6/630 + x**5/420 + 31*x**3/2 + 2*x**2 - 3*x. Let u(g) be the first derivative of p(g). Factor u(o).
2*o*(o - 1)**2/7
Suppose 1653*s = 1650*s - 1848. Let m = 618 + s. Factor 1/3*p**m + 7/3 - 8/3*p.
(p - 7)*(p - 1)/3
Let j(o) = -4714*o - 4712. Let i be j(-1). Factor 144/7 + 4/7*k**i - 80/7*k.
4*(k - 18)*(k - 2)/7
Let t = 939 - 836. Let x = t + -98. Suppose -135/4*j**x - 21*j**2 - 93/2*j**3 + 0 + 381/4*j**4 + 6*j = 0. Calculate j.
-2/5, 0, 2/9, 1, 2
Let u = 61 - -291. Suppose 0 = 10*f + f - u. Factor -5*d + 3*d + 75 + f*d + d**2 + 2*d**2.
3*(d + 5)**2
Solve 2384/5*v + 710432/5 + 2/5*v**2 = 0.
-596
Let k = -85921/10 - -42968/5. Factor -k*z**2 - 3/2*z**3 + 1/2*z**4 - 3 + 11/2*z.
(z - 3)*(z - 1)**2*(z + 2)/2
Let g(a) be the third derivative of -a**6/24 - 113*a**5/12 - 275*a**4/4 + 371*a**2 - 7. Factor g(z).
-5*z*(z + 3)*(z + 110)
Let k(y) be the first derivative of y**4/14 - 598*y**3/7 + 268203*y**2/7 - 53461798*y/7 + 440. Solve k(z) = 0 for z.
299
Let m(t) = 4*t**4 - t**3 - t**2 - 2. Let b(h) = -h**5 + 46*h**4 + 181*h**3 + 446*h**2 + 348*h - 12. Let g(f) = -b(f) + 6*m(f). Solve g(u) = 0.
-3, -2, 0, 29
Let s(h) be the second derivative of 40*h**7/21 + 374*h**6/45 + 7*h**5/30 - 11*h**4/2 + 2*h**3 - 8*h - 107. Determine b so that s(b) = 0.
-3, -2/3, 0, 1/4, 3/10
Let q(r) be the third derivative of r**5/140 + 601*r**4/56 + 300*r**3/7 + 12*r**2 + 27. Factor q(o).
3*(o + 1)*(o + 600)/7
Determine x, given that 16/3 - 2/9*x**3 - 2*x**2 - 28/9*x = 0.
-6, -4, 1
Let v(s) be the first derivative of 103/6*s**2 + 4/9*s**3 + 136 - 26/3*s. Let v(r) = 0. What is r?
-26, 1/4
Let h(v) = -v**4 + v**3 + v**2 - 4*v + 2. Let g(n) = 3*n**5 + 42*n**4 - 51*n**3 - 102*n**2 - 48*n + 24. Let x(z) = g(z) - 12*h(z). Find i, given that x(i) = 0.
-19, -1, 0, 2
Let m be (2/2 + -1)*(-364)/(-3276). Let f(d) be the second derivative of 0*d**3 - 5/42*d**7 + m*d**4 + 0 - 1/3*d**6 + 0*d**5 + 0*d**2 + 5*d. Factor f(x).
-5*x**4*(x + 2)
Let f be (0/1)/(-1*3/1). Let r be 0*((-6)/(-21) - 735/1372). Find s, given that f*s**2 + 2/13*s**5 + 2/13*s**3 + r*s + 4/13*s**4 + 0 = 0.
-1, 0
Let i = -2772 - -2804. Let q(v) be the first derivative of 1/2*v**4 - i - 3*v**2 + 36*v - 8/3*v**3. Let q(o) = 0. What is o?
-2, 3
Factor -160 - 2/7*f**2 - 564/7*f.
-2*(f + 2)*(f + 280)/7
Let c(q) = q**3 - 62*q**2 - 314*q + 19470. Let g be c(62). Factor -2/13*b**5 - 98/13*b**2 - 70/13*b**3 + 0*b + g*b**4 + 0.
-2*b**2*(b - 7)**2*(b + 1)/13
Suppose 2*x + 143 + 111 = 5*u, -2*x - 204 = -4*u. Suppose -u = -5*p + p + 2*f, -19 = -2*p - f. Factor 9 + 5*y**2 - 15*y + 2 - p.
5*y*(y - 3)
Let d(i) = -118*i - 2004. Let q be d(-17). Let f(l) be the third derivative of 13/120*l**4 + 1/100*l**5 + 2/15*l**3 + 0*l + q*l**2 + 0. Factor f(g).
(g + 4)*(3*g + 1)/5
Let z = 1353 - 1347. Let x(q) be the third derivative of 11*q**2 - 1/30*q**5 - 1/240*q**z - 1/6*q**3 - 5/48*q**4 + 0 + 0*q. Suppose x(c) = 0. What is c?
-2, -1
Factor 1542669 - 702404*o + 692524*o + 3*o**2 + 2*o**2 + 3338051.
5*(o - 988)**2
Let w(p) = 6*p**2 + 2*p + 4. Let b(j) = 5*j**3 + 1130*j**2 + 52040*j + 100080. Let i(h) = -b(h) + 20*w(h). Solve i(f) = 0 for f.
-100, -2
Let i(m) = -m**2 + 18*m - 30. Let z be 3/2 - (-4 - 56/(-16)). Let s be i(z). Find t such that -3/2*t**s + 3*t + 9/2 = 0.
-1, 3
Let z(q) = 5*q - 7 - 2 - 5*q**2 + 10. Let k(c) = 12*c**2 - 11*c - 2. Let d(r) = 3*k(r) + 7*z(r). Let d(g) = 0. Calculate g.
-1
Suppose 5*c - 3*r = 2*c + 18, 5*r = 2*c - 15. Factor 6*u**4 - 4*u**4 - u**4 + 8*u - c*u**3 - u**2 - 4 + u**5.
(u - 1)**3*(u + 2)**2
Factor 274/3 + 2/9*o**2 + 824/9*o.
2*(o + 1)*(o + 411)/9
Let y(z) = 8*z**4 - 140*z**3 + 366*z**2 + 8*z - 488. Let k(c) = -c**4 + 2*c**3. Let m(a) = -6*k(a) - y(a). Find i such that m(i) = 0.
-1, 2, 61
Let v(q) = q**3 + q**2 - 15*q - 26. Suppose f - 1 = n, 4*f - 9 = 5*n - 2. Let y be v(f). Factor -1/6*h**5 + 2/3*h**4 + 0 + 1/3*h**2 - 5/6*h**3 + y*h.
-h**2*(h - 2)*(h - 1)**2/6
Let f = 207958/3 - 68612. Let g = -707 + f. Determine o, given that g*o**2 - 2*o + 0 = 0.
0, 6
Let u = -10209/25 - -21043/50. Solve -5*i**2 - 10*i**4 + 5/2*i**5 + 0 + 0*i + u*i**3 = 0 for i.
0, 1, 2
Let j(x) be the second derivative of x**6/120 - 33*x**5/80 - 3*x**4/4 + 17*x**3/6 + 11078*x. Factor j(h).
h*(h - 34)*(h - 1)*(h + 2)/4
Let p(n) be the second derivative of 5*n**7/42 - n**5 - 5*n**4/6 + 5*n**3/2 + 5*n**2 + 2490*n. Suppose p(b) = 0. Calculate b.
-1, 1, 2
Let u(k) be the first derivative of 0*k**2 - 1/90*k**6 + 0*k**5 - 14 - 2/3*k**3 + 0*k + 2/3*k**4. Let d(y) be the third derivative of u(y). Factor d(c).
-4*(c - 2)*(c + 2)
Suppose 0 = 4*r + 4*d - 9*d - 33640, -d - 4 = 0. Factor 7*u**5 + r - 7*u**3 + 2*u**2 - 8405 - 2*u**4.
u**2*(u - 1)*(u + 1)*(7*u - 2)
Let h be 26/4*(-28)/(-91). Let w(y) be the second derivative of 8/3*y**h - 15*y + 1/36*y**4 - 4/9*y**3 + 0. Solve w(o) = 0 for o.
4
Let i(k) be the first derivative of k**5/15 - 4*k**4/3 - 6*k**3 - k**2 + 32*k + 146. Let r(f) be the second derivative of i(f). What is h in r(h) = 0?
-1, 9
Let o(y) = -10*y + 1. Let a(u) = 2*u**2 - 46*u + 5. Let p(k) = a(k) - 5*o(k). Find j, given that p(j) = 0.
-2, 0
Let k(j) be the third derivative of j**6/90 - j**5/30 + 28*j**3/3 - 35*j**2. Let u(q) be the first derivative of k(q). Factor u(v).
4*v*(v - 1)
Factor -246*j + 3047 - 7338 + 8575 + 2*j**2.
2*(j - 102)*(j - 21)
Suppose -137 + 105 = -8*w. Let s be ((-3)/(-15))/(w/5). Factor -3/4*j + 1/2*j**2 + 0 + s*j**3.
j*(j - 1)*(j + 3)/4
Let c(i) be the first derivative of 18*i**4 - 12/5*i**5 - 70 - 162*i**2 - 972*i - 2/3*i**6 + 72*i**3. Find u such that c(u) = 0.
-3, 3
Let n = 20133/8099 - -99/1157. Find f such that 0*f**2 - n - 3/7*f**3 + 3*f = 0.
-3, 1, 2
Let x be -17 + 15 + 6 + -4. Let o(t) be the third derivative of -1/8*t**4 + 4*t**2 + 0 - 1/120*t**5 - 3/4*t**3 + x*t. Factor o(k).
-(k + 3)**2/2
Let p(j) be the first derivative of 5*j**4/4 - j**3/3 - 5*j**2 - 6*j - 35. Let t(f) = -f**2 - 1. Let n(b) = -p(b) + 6*t(b). Suppose n(g) = 0. What is g?
-2, 0, 1
Find d, given that -4808*d + 609*d**2 - 1183*d**2 + 570*d**2 - 1444804 = 0.
-601
Let f be (-4 - -12)/((-4)/(8/4)). Let g be 96/180*(-4)/f. Factor -2/15*k**2 - g + 8/15*k.
-2*(k - 2)**2/15
Let i be 2*(77/(-14) - -2) - ((-42)/(-3))/(-2). Suppose -2/3*u**2 + i*u - 1/3*u**3 + 0 = 0. What is u?
-2, 0
Let v(z) be the second derivative of z**6/195 + 171*z**5/130 + 13*z**4/6 - 57*z**3/13 - 170*z**2/13 - 1897*z. Solve v(w) = 0.
-170, -