61700 - -1/14700. Solve -18/11*x - 2/11*x**5 - 6/11*x**4 + 10/11 + g*x**3 - 4/11*x**2 = 0 for x.
-5, -1, 1
Let k(w) = -w**3 + w. Let v = -65 - -71. Let c(n) = 9*n**3 - 9*n**2 - 6*n + 12. Let a(j) = v*k(j) + c(j). Let a(z) = 0. Calculate z.
-1, 2
Suppose 23/3*b - 1/3*b**2 - 22/3 = 0. What is b?
1, 22
Let m(g) = -17*g**4 + 3*g**3 + 74*g**2 - 7. Let y(d) = 9*d**4 - d**3 - 38*d**2 + 4. Let u(o) = -4*m(o) - 7*y(o). What is b in u(b) = 0?
-2, 0, 3
Let o(j) = -8*j**2 + 257*j - 8447. Let x(r) = 122*r + 42236 - 696*r + 108*r - 820*r + 38*r**2. Let a(s) = 14*o(s) + 3*x(s). Factor a(l).
2*(l - 65)**2
Let d(h) = -h**2 - 7*h - 5. Let o be d(-2). Suppose -2*g + 1 = -o. Factor 11*n + 6*n - g*n**2 - 6*n - 6.
-(n - 3)*(3*n - 2)
Suppose -5*q + 21*s + 216 = 24*s, -q + s = -48. Factor -q*p**3 - 5*p**4 - 4*p**3 - 80*p**2 + 9*p**3.
-5*p**2*(p + 4)**2
Suppose 0 = 4*h - 5*r + 5, -3*h - 2*h + 2*r + 15 = 0. Factor 6*v**2 + 5 - 172*v**3 - h - v**4 + 177*v**3.
-v**2*(v - 6)*(v + 1)
Let w(c) = 8*c - 334. Let g be w(42). Let k = 501 + -1501/3. Factor -k*t**g + 8/9*t + 0.
-2*t*(3*t - 4)/9
Let j(u) be the third derivative of 3*u**2 - 1/2*u**4 + 0 + 1/10*u**6 + 1/20*u**5 - 1/70*u**7 - 19*u + 0*u**3. Solve j(l) = 0 for l.
-1, 0, 1, 4
Let c(q) be the second derivative of -q**7/3780 + q**6/405 + q**5/45 - 57*q**3 - 213*q. Let g(x) be the second derivative of c(x). Determine o so that g(o) = 0.
-2, 0, 6
Let w(o) = -2*o**3 + 2*o + 2. Let r(b) = -4*b - 2*b + 16 + 6*b**3 - 47 + 24. Let z(h) = 4*r(h) + 14*w(h). Find v, given that z(v) = 0.
-1, 0, 1
Determine y, given that 60*y + 121/2 - 1/2*y**2 = 0.
-1, 121
Let n(z) = -2350*z**4 + 5145*z**3 - 890*z**2 - 60*z. Let b(y) = -783*y**4 + 1715*y**3 - 297*y**2 - 20*y. Let j(m) = -10*b(m) + 3*n(m). Let j(q) = 0. What is q?
-2/39, 0, 1/4, 2
Factor -1/2*u**2 - 1/2*u**3 + 0 + 6*u.
-u*(u - 3)*(u + 4)/2
Let i = 224562 + -224559. Determine u so that 1/5*u**4 + 12/5*u**i + 12*u + 43/5*u**2 + 28/5 = 0.
-7, -2, -1
Let f(z) = z**3 - z**2 + z + 14. Let v be f(0). Let c(i) = i - 11. Let w be c(v). Factor 2*t**4 - 12*t**2 + 0*t**3 - t**w - t + 2 + 6*t**2.
(t - 2)*(t + 1)**2*(2*t - 1)
Let v = 2136440 - 2136436. Let 11/8*n**v - 1/8*n**5 + 13/8*n**2 + 0 + 0*n + 25/8*n**3 = 0. What is n?
-1, 0, 13
What is k in 0*k - 5 + 5/4*k**2 = 0?
-2, 2
Let c(n) be the third derivative of -1/30*n**5 + 0*n + 8/3*n**3 + 7/12*n**4 - 105*n**2 + 0. Factor c(k).
-2*(k - 8)*(k + 1)
Let h = 281568 - 281565. Factor 12/11*y + 2/11*y**4 + 0*y**h - 14/11*y**2 + 0.
2*y*(y - 2)*(y - 1)*(y + 3)/11
Let w(p) be the first derivative of -7*p**6/45 - 242*p**5/75 - 353*p**4/15 - 968*p**3/15 - 24*p**2 - 850. Let w(n) = 0. What is n?
-6, -5, -2/7, 0
Let w(j) be the third derivative of 13/24*j**4 + 0*j**3 + 1/60*j**5 + 0 + 0*j - 52*j**2. Factor w(v).
v*(v + 13)
Let p(b) = -2*b**2 + 30*b**3 + 31*b**3 - 7*b**2 - 52*b**3 + 48*b. Let r(s) = 2*s**2 + s + 1. Let c(t) = p(t) - 12*r(t). Suppose c(j) = 0. Calculate j.
2/3, 1, 2
Determine j so that 56*j**4 - 21*j**4 - 861*j + 821*j - 35*j**2 + 40*j**3 = 0.
-8/7, -1, 0, 1
Let o = -420 - -594. Let q be 2*o/(-16)*68/(-51). Factor q - 1 + 4 - 12*i**2 - 40*i.
-4*(i + 4)*(3*i - 2)
Let v(q) = -50*q**3 - 2*q**2 + 3*q + 2. Let j be v(-2). Factor 9*x + 15*x - j*x**2 + 416*x**2 + 4*x**3.
4*x*(x + 1)*(x + 6)
Let p = 135290 - 405820/3. Let 2/9*i**3 - 10/9*i + 14/9*i**2 - p = 0. What is i?
-5, 3
Let a(g) be the second derivative of -g**6/150 - 17*g**5/100 - 4*g**4/15 - 2*g - 443. Factor a(z).
-z**2*(z + 1)*(z + 16)/5
Factor 741/2*l + 3249/2 - 59/8*l**2 - 13/4*l**3 + 1/8*l**4.
(l - 19)**2*(l + 6)**2/8
Suppose 8*s = 39 - 15. Determine j so that -30*j**4 - s*j**5 + 10*j**2 - 22*j - 74*j**3 + 20 + 43*j - 2*j**5 + 24*j + 34*j**3 = 0.
-4, -1, 1
Let h(r) be the first derivative of -r**3 + 1503*r**2/2 - 177. Factor h(f).
-3*f*(f - 501)
Let v(k) be the second derivative of -2*k**2 - 8*k + 1/45*k**5 - 2/27*k**3 + 1/3*k**4 - 4. Let v(o) = 0. What is o?
-9, -1, 1
Factor 706/5*j - 1/5*j**2 - 124609/5.
-(j - 353)**2/5
Suppose 3*b + 21 + 15 = 0. Let q be (4/b)/((-4)/((-288)/(-3))). Determine a so that q*a**3 - 33*a**3 - 35*a**2 - 18*a + 3*a - 128*a**4 + 123*a**4 = 0.
-3, -1, 0
Factor 2/3*r**5 + 2128/3*r**3 + 153664/3 - 36*r**4 - 17248/3*r**2 + 10976*r.
2*(r - 14)**4*(r + 2)/3
Suppose -2*n + 8 = -j - 1, j - 1 = -3*n. Let k be ((-50)/(-75))/(6/99). Factor 9 + 2*t**2 - 2*t - n - k.
2*(t - 2)*(t + 1)
Let p(t) be the second derivative of 0*t**3 - 2*t - 3/40*t**5 + 0*t**2 + 16 + 1/4*t**4. Factor p(l).
-3*l**2*(l - 2)/2
Let r(z) be the first derivative of z**5 - 85*z**4/2 + 160*z**3/3 + 85*z**2 - 165*z - 574. Factor r(d).
5*(d - 33)*(d - 1)**2*(d + 1)
Let i be (-40)/10 - (1684/(-240) + (2 - -1)). Let q(n) be the third derivative of 0*n + 2/3*n**3 - i*n**5 + 4*n**2 + 0*n**4 + 0. Factor q(z).
-(z - 2)*(z + 2)
Let m = -17463 - -17466. Factor -6/11*j**m + 0*j + 0 + 0*j**2.
-6*j**3/11
Factor -749 + 1259*w**2 - 1256*w**2 + 179 + 99*w.
3*(w - 5)*(w + 38)
Let m = -32 - -2. Let y be 3*(-2)/m - (-58)/10. Suppose 2*d - 11*d**2 - y + 15*d**2 - 2*d**3 + 3*d**3 - d = 0. What is d?
-3, -2, 1
Let c(p) be the first derivative of 104 + 1800/7*p + 60/7*p**2 + 2/21*p**3. Suppose c(l) = 0. What is l?
-30
Let h(d) be the third derivative of -1/24*d**4 - 21 + 0*d**5 + 1/9*d**3 - 4*d**2 + 1/360*d**6 + 0*d. Determine j, given that h(j) = 0.
-2, 1
Let w be -2*9/24 - 77/(-28). Factor -3*l**w - 5*l**2 - 10 + 13*l**2 - 5*l.
5*(l - 2)*(l + 1)
Let j(q) be the third derivative of q**7/70 - 33*q**6/40 + 8*q**5/5 + 673*q**2. Solve j(z) = 0.
0, 1, 32
Let l(x) be the first derivative of 5*x**4/12 + 373*x**3/9 + 110*x**2/3 - 148*x/3 - 4155. Factor l(n).
(n + 1)*(n + 74)*(5*n - 2)/3
Let u(z) be the first derivative of -z**4/16 - 43*z**3/12 - 105*z**2/2 - 935. Factor u(h).
-h*(h + 15)*(h + 28)/4
Let j(u) = -7*u**3 + 1212*u**2 - 244829*u + 16484816. Let h(p) = 4*p**3 - 606*p**2 + 122415*p - 8242408. Let v(r) = -5*h(r) - 3*j(r). Factor v(w).
(w - 202)**3
Let m(p) be the third derivative of -5*p**8/336 + 59*p**7/42 - 85*p**6/12 + 28*p**5/3 + 8829*p**2. Suppose m(a) = 0. What is a?
0, 1, 2, 56
Let d = -632 - -633. Let n be (-38 + 38 + -1*d)*-3. Factor -1/7*w**2 + 0 + 1/7*w**4 + 0*w + 0*w**n.
w**2*(w - 1)*(w + 1)/7
Suppose 5*p - 2 - 23 = 0. Let t be 21 + p/20*4. Factor 0*a**4 - 6*a**4 - 10*a**5 - t*a**3 - 4*a**5 - 26*a**4 - 4*a**2.
-2*a**2*(a + 1)**2*(7*a + 2)
Suppose -n - 3 = 22*l - 24*l, 2*n - 3*l + 3 = 0. Factor 16*b**2 + 42040 - 42040 + 368*b**n + 2116*b**4.
4*b**2*(23*b + 2)**2
Let r(l) be the second derivative of l**4/27 + 170*l**3/27 - 116*l**2/3 + 9*l - 180. Let r(c) = 0. What is c?
-87, 2
Suppose 0 = 7*v - 6*v - 170. Solve 366*u - 3*u**2 - 11537 + u**2 - u**2 - v + 544 = 0.
61
Let j(b) = 2*b + 36. Let g be j(-3). Factor -33 + 3*l**2 + 66*l + g - 6*l**2 - 60.
-3*(l - 21)*(l - 1)
Let l(y) be the third derivative of -y**7/126 - 25*y**6/72 - 191*y**5/36 - 1855*y**4/72 + 490*y**3/3 - 1216*y**2. What is a in l(a) = 0?
-12, -7, 1
Factor -2/5*a**2 + 256/5*a - 8192/5.
-2*(a - 64)**2/5
Let a(l) be the first derivative of 1/10*l**4 - 13 - 16/5*l**2 - 4/5*l**3 + 0*l. Let a(m) = 0. Calculate m.
-2, 0, 8
Determine v, given that -51*v - 3/4*v**2 + 456 = 0.
-76, 8
Let k(s) be the first derivative of s**6/42 - 3*s**4/28 + 2*s**3/21 - 121. Factor k(t).
t**2*(t - 1)**2*(t + 2)/7
Suppose -3*p + 7 = -7*x + 6*x, 0 = 2*x + 3*p - 13. Factor 12*i**2 + 2*i**4 - 16*i - 14 + 8*i**3 - 4 - 6*i**4 + x.
-4*(i - 2)**2*(i + 1)**2
Let v = 5196 + -5194. Let h(j) be the first derivative of 3/8*j**v - 14 + 3/4*j - 3/16*j**4 - 1/4*j**3. Determine b so that h(b) = 0.
-1, 1
Let f = 921 - 896. Suppose -4*i - w = -f, -i - 13*w - 5 = -15*w. Find t such that 75/4*t**2 + 12*t + 21/4*t**4 + 57/4*t**3 + 3 + 3/4*t**i = 0.
-2, -1
Let -147*n**4 + 1584*n**2 - 16812829 + 16812829 + 2709*n**3 + 228*n = 0. Calculate n.
-2/7, 0, 19
Let b(n) be the second derivative of -5*n**2 - 7*n + 0 - 1/20*n**5 + 3/8*n**4 + 2*n**3. Let m(o) be the first derivative of b(o). Factor m(v).
-3*(v - 4)*(v + 1)
Let p = 282 - 346. Let l be p/(-14) + -8*10/20. Factor 2/7*j**2 - 6/7 + l*j.
2*(j - 1)*(j + 3)/7
Let q(n) be the third derivative of -1/12*n**4 + n**2 - 5/33*n**3 + 0 - 38*n - 7/330*n**5 - 1/660*n**6. Factor q(r).
-2*(r + 1)**2*(r + 5)/11
Let y be (-2184)/672*(4 + 54/(-13)). What is i in 