192*l - 12. Let j(m) = k(m) - 6*y(m). Factor j(t).
2*t*(t + 1)*(t + 8)*(t + 12)
Let a(k) = -3*k**3 - 3*k**2 - 18*k - 82. Let d be a(-3). Let j(s) be the first derivative of -1/2*s**2 - d - 4/5*s - 1/15*s**3. Find h, given that j(h) = 0.
-4, -1
Let j = 27822/1273 - 1422/67. Factor 0 + 10/19*x + 2/19*x**3 - j*x**2.
2*x*(x - 5)*(x - 1)/19
Suppose -12*o + 8*o = -684. Let j = o + -96. Factor j*w + 80*w**2 + 16 + 9*w - 8*w - 22*w**3 - 3*w**3.
-(w - 4)*(5*w + 2)**2
Suppose 6*l + 16 = 10*l. Let a be (l - -3) + 1*-2. Solve 6*y + 3 + 5 - 3*y**2 + a*y**2 - 14*y = 0.
2
Let z(d) be the first derivative of d**6/2700 - 13*d**5/900 - 41*d**3/3 - 233. Let u(b) be the third derivative of z(b). Suppose u(o) = 0. Calculate o.
0, 13
Let a(c) be the first derivative of 3 + 0*c**2 + 0*c - 10*c**4 - c**5 + 20*c**3 + 5/6*c**6. Find q such that a(q) = 0.
-3, 0, 2
Factor -828 + 71*x**2 - 1155 + 671 + 89*x**2 + 132*x - 156*x**2.
4*(x - 8)*(x + 41)
Let p(q) = 12*q - 435. Let s(u) = -11*u + 165. Let f be s(10). Let a be p(f). Determine w so that a*w + 12*w**3 + 375/2 + 90*w**2 = 0.
-5/2
Let x(d) = 2*d + 20. Let o be x(-6). Let y = o + 40. Determine l so that 2*l + 4*l**2 - 5*l**3 - l + 46 - y + 2*l**3 = 0.
-2/3, 1
Let v(l) = -l**4 - l**3 - 2*l**2 - 2*l + 6. Let h(u) = -4*u**4 + 18*u**3 + 22*u**2 - 288*u + 252. Let j(g) = h(g) - 2*v(g). Let j(p) = 0. Calculate p.
-4, 1, 3, 10
Let s(o) be the first derivative of -o**4/72 + 7*o**3/18 - 49*o**2/12 + 68*o - 40. Let k(x) be the first derivative of s(x). Solve k(q) = 0.
7
Suppose -19*x + 396 = 3*x. Suppose 9 = x*k + 9. Factor 12/5*s**4 + 7/5*s**5 + 3/5*s**3 - 2/5*s**2 + 0*s + k.
s**2*(s + 1)**2*(7*s - 2)/5
Let x(q) be the second derivative of 970*q**7/21 - 3884*q**6/15 + 2918*q**5/5 - 1952*q**4/3 + 986*q**3/3 - 4*q**2 - 10*q + 11. Suppose x(y) = 0. Calculate y.
2/485, 1
Let v(w) be the first derivative of -w**6/24 + 3*w**5/2 - 239*w**4/16 + 19*w**3/6 + 567*w**2/2 + 490*w + 4140. Find i, given that v(i) = 0.
-2, -1, 5, 14
Let o(l) be the first derivative of -5*l**3/3 + 285*l**2 + 1160*l - 85. Factor o(f).
-5*(f - 116)*(f + 2)
Let l(x) be the second derivative of -x**4/4 - 741*x**3 - 1647243*x**2/2 + 1799*x. Determine a, given that l(a) = 0.
-741
Let p(l) be the second derivative of -l**7/21 - l**6/15 + l**5/2 + 5*l**4/6 - 4*l**3/3 - 4*l**2 + l + 303. Solve p(b) = 0 for b.
-2, -1, 1, 2
Find r such that -165*r**2 - 7*r**3 + 465*r - 321*r**2 - 5286671 + 127*r**3 + 5286572 = 0.
3/10, 1, 11/4
Let g be 2080/(-4368) - (-4)/7. Let r(l) be the third derivative of 1/15*l**6 + 0 - g*l**7 + 0*l + 8/3*l**3 + l**5 - 8/3*l**4 - 7*l**2. Solve r(h) = 0.
-2, 2/5, 1
Let u(r) be the second derivative of -r**5/70 - 2*r**4/3 - 52*r**3/21 + 244*r + 3. Factor u(h).
-2*h*(h + 2)*(h + 26)/7
Let u(g) be the third derivative of -7*g**6/60 - 11*g**5/30 + g**4/2 + 79*g**2 - 8. Determine v so that u(v) = 0.
-2, 0, 3/7
Determine x so that -20/11*x - 36/11*x**3 + 54/11*x**2 + 2/11 = 0.
1/6, 1/3, 1
Let o = 1566 - 1561. Let q(u) be the second derivative of 16*u + 0*u**4 - 1/60*u**o + 0 + 1/180*u**6 + 0*u**2 + 0*u**3. Let q(j) = 0. Calculate j.
0, 2
Let h(x) be the first derivative of 1/24*x**6 + 0*x**2 - 1/5*x**5 + 0*x - 1/6*x**3 + 5/16*x**4 + 234. Factor h(m).
m**2*(m - 2)*(m - 1)**2/4
Let l(w) = w**3 - 2*w**2 - 3*w - 5. Let c be l(0). Let g(k) = -119*k**2 - 12*k + 10. Let i(r) = 60*r**2 + 6*r - 6. Let a(q) = c*i(q) - 3*g(q). Factor a(t).
3*t*(19*t + 2)
Let v(a) = -32*a**3 + 5*a**2 + 6*a. Let z be v(-2). Find b such that -z*b**2 + 16*b + 517*b**2 - 257*b**2 - 16 = 0.
2
Let q(f) be the second derivative of 11*f - 39/2*f**4 + 21/20*f**5 + 0*f**2 + 19/20*f**6 + 2 + 1/14*f**7 + 18*f**3. Suppose q(i) = 0. Calculate i.
-6, 0, 1/2, 2
Let a(w) be the third derivative of -5*w**8/336 - 4*w**7/7 + 39*w**6/4 - 170*w**5/3 + 1265*w**4/8 - 240*w**3 - 10*w**2 - 9*w. Let a(j) = 0. What is j?
-32, 1, 3
Let n be (-56)/(-6) + (-3)/(-9)*-1. Suppose 0 = -4*o + o - n, 0 = -2*z - 2*o - 2. Factor 30 - 17*i**2 + 19*i**z - 55*i - 5*i**3 + 28*i**2.
-5*(i - 3)*(i - 2)*(i - 1)
Let x = 121/20 + -19/5. Suppose -1/4*g**3 - 3/4*g**2 - 5/4 + x*g = 0. What is g?
-5, 1
Let s(t) be the third derivative of 3/2*t**3 + 0 - 18*t**2 - 2*t + 1/60*t**5 + 1/4*t**4. Find j, given that s(j) = 0.
-3
Let m be (1 - (-2 - -12)) + (629/(-68) - -25). Let 12*t + 39*t**2 + 0 + m*t**4 + 36*t**3 = 0. What is t?
-4, -2/3, 0
Let b(v) be the second derivative of -v**7/3780 + v**6/810 - v**5/540 - 17*v**3/3 + v + 19. Let t(a) be the second derivative of b(a). Factor t(f).
-2*f*(f - 1)**2/9
Let y(p) be the first derivative of p**7/42 - p**6/30 - 3*p**5/20 + p**4/12 + p**3/3 - 104*p + 129. Let l(k) be the first derivative of y(k). Factor l(n).
n*(n - 2)*(n - 1)*(n + 1)**2
Suppose o + 235*j + 13 = 237*j, 0 = -o - j + 11. Let c = -4778/5 - -961. Factor c*q**o + 72/5*q**2 + 39/5*q + 6/5.
3*(q + 2)*(3*q + 1)**2/5
Let r(m) = -20*m**2 + 3260*m + 9685. Let p(q) = -53*q**2 + 8150*q + 24212. Let x(d) = -5*p(d) + 13*r(d). Suppose x(c) = 0. Calculate c.
-323, -3
Factor -4*a**3 - 1582893 - 1176223 - 6593363*a - 323533*a - 2006390 - 2161918 + 10524*a**2.
-4*(a - 1316)**2*(a + 1)
Let x(s) be the first derivative of 21*s**5/5 - 11*s**4/2 + s**3/3 - 2070. Find h such that x(h) = 0.
0, 1/21, 1
Let g(b) be the second derivative of -b**5/200 - 23*b**4/40 - 33*b**3/10 - 570*b - 1. Suppose g(r) = 0. Calculate r.
-66, -3, 0
Let l = -1252 + 1264. Let p be (9/l)/((-405)/(-324)). Suppose 12/5 - 9/5*v**2 + p*v**3 + 0*v = 0. Calculate v.
-1, 2
Let d(a) be the first derivative of 4*a**5/5 - 2*a**4 + 4*a**3/3 - 948. Let d(g) = 0. Calculate g.
0, 1
Let m(c) be the third derivative of 0*c - 32*c**2 + 1/12*c**5 + 7*c**3 + 1/72*c**6 + 0*c**4 + 0. Let b(z) be the first derivative of m(z). Factor b(p).
5*p*(p + 2)
Let n = 99 + -296/3. Let h be ((-4)/(-12))/((-2)/(-6)) + 8/(-12). Suppose n*f**5 - f**3 - h*f**4 + 5/3*f**2 - 2/3*f + 0 = 0. Calculate f.
-2, 0, 1
Suppose -822/5*g + 0 - 131/5*g**2 + 1/5*g**3 = 0. What is g?
-6, 0, 137
What is k in 195*k**4 - 36*k**4 + 234*k + 96 - 255*k**2 - 10875*k**5 + 10866*k**5 - 225*k**3 = 0?
-1, -1/3, 1, 2, 16
Let v(h) = 7*h**2 - 666*h - 1344. Let b(l) = 30*l**2 - 2661*l - 5370. Let a(q) = -2*b(q) + 9*v(q). Find z, given that a(z) = 0.
-2, 226
Let s(q) be the first derivative of 5*q**9/3024 + q**8/168 - q**7/168 - q**6/36 + 97*q**3/3 + 54. Let c(a) be the third derivative of s(a). Factor c(g).
5*g**2*(g - 1)*(g + 1)*(g + 2)
Let a(n) be the first derivative of n**5/5 + 21*n**4/4 + 19*n**3 + 55*n**2/2 + 18*n + 1867. Determine y so that a(y) = 0.
-18, -1
Let h(j) = -j**3 - 5*j**2 + 3. Let l be h(-5). Let g = -125028 - -125028. Let 1/2*r**4 + g + 4*r**l + 0*r + 8*r**2 = 0. Calculate r.
-4, 0
Suppose 548*n**2 - 1789*n**5 + 75*n**3 - 106*n + 2*n**4 - 550 + 1787*n**5 + 97*n**3 - 64*n = 0. Calculate n.
-5, -1, 1, 11
Let a be (38 - 21 - 17)/(1/1). Let n(g) be the third derivative of a*g + 5/16*g**4 + 0 - 15/8*g**3 - 1/48*g**5 - 33*g**2. Solve n(s) = 0.
3
Let g = -283 + 341. Suppose -g*s + 13 = -219. Let 20/3*j**2 + 5/3*j**5 - 10/3 - 10/3*j**3 - 10/3*j**s + 5/3*j = 0. Calculate j.
-1, 1, 2
Let j(c) be the second derivative of c**7/30 + c**6/24 - 4*c**5/15 + c**4/6 - c**2/2 + 115*c. Let t(k) be the first derivative of j(k). Solve t(x) = 0 for x.
-2, 0, 2/7, 1
Let t(b) = -6*b**2 - b. Let u(i) = i**2. Suppose 0*r + 4*r = 112. Let f be (-6)/(7/(28/(-6))). Let a(l) = f*t(l) + r*u(l). Factor a(o).
4*o*(o - 1)
Suppose 0 = -4742*d + 4736*d. Let b(c) be the third derivative of 0*c**3 + 1/15*c**5 + 0*c + d + 0*c**4 + 11*c**2. Let b(z) = 0. Calculate z.
0
Let o = 775 + -658. Let j be -2 + (-98)/(-39) + 18/o. Suppose p - p**3 - j + 2/3*p**2 = 0. What is p?
-1, 2/3, 1
Let y(g) be the first derivative of 5*g**6/6 - 142*g**5 + 1395*g**4/2 - 4160*g**3/3 + 2765*g**2/2 - 690*g + 11487. Factor y(u).
5*(u - 138)*(u - 1)**4
Let g(z) be the second derivative of -11*z**5/40 + 15*z**4/16 - z**3 - 73*z**2 - 135*z. Let h(b) be the first derivative of g(b). Let h(x) = 0. Calculate x.
4/11, 1
Let t(f) = -22*f**2 - 282*f - 314. Let n(m) = 26*m**2 + 280*m + 317. Let d(l) = -6*n(l) - 7*t(l). Solve d(j) = 0 for j.
-1, 148
Find v, given that -1/3*v - 4/3*v**2 - 1/3*v**3 + 2 = 0.
-3, -2, 1
Let r(k) be the third derivative of k**7/350 - 3*k**6/200 - 9*k**5/100 - k**4