be the third derivative of -l**8/120 - 43*l**7/105 + 31*l**6/150 + l**2 + 95*l - 9. Suppose g(j) = 0. Calculate j.
-31, 0, 2/7
Factor 5206 - 283*b**2 + 140*b**2 + 3819 + 144*b**2 - 190*b.
(b - 95)**2
Suppose -215*j = -990*j + 1550. Solve -3/7*k**3 + 12/7 - 3/7*k**j + 12/7*k = 0 for k.
-2, -1, 2
Let b(d) = 71*d**3 + 25*d - 24. Let s be b(1). Let r be ((-1)/1)/5*(-11700)/s. Factor -24*g - 25/6*g**3 + 14/3 + r*g**2.
-(g - 7)*(5*g - 2)**2/6
Let i(h) be the third derivative of h**8/1176 + 3*h**7/35 + 1139*h**6/420 + 4673*h**5/210 + 580*h**4/7 + 3364*h**3/21 + 5368*h**2. Solve i(k) = 0 for k.
-29, -2, -1
Let x(r) be the second derivative of r**5/5 - 17*r**4/3 + 182*r**3/3 - 294*r**2 - 2*r + 50. Factor x(v).
4*(v - 7)**2*(v - 3)
Let x(t) be the second derivative of -t**4/108 + 148*t**3/27 + 298*t**2/9 - 3046*t + 1. Find y, given that x(y) = 0.
-2, 298
Suppose 6/11*n**2 + 188/11*n - 70 = 0. Calculate n.
-35, 11/3
Suppose -3*b + 18 = 3*n, -n + b = 5*b + 3. Suppose 4*m + 1 - n = 0. Determine l, given that 1 + 0*l**3 - 9 - l + 2*l**m + l**3 + 6 = 0.
-2, -1, 1
Let w be (-6)/3 + ((-147)/(-18) - 6). Let s(v) be the second derivative of -9*v + 0*v**2 - w*v**4 + 1/3*v**3 + 0. Suppose s(r) = 0. What is r?
0, 1
Let u = 39788 - 39788. Suppose 0*v**3 - 4/5*v**5 + u - 8/5*v**4 + 0*v**2 + 0*v = 0. Calculate v.
-2, 0
Let z(n) be the third derivative of 14 + 1/72*n**4 + 0*n**6 + 0*n - 1/120*n**5 + 0*n**3 + 1/1260*n**7 + n**2. Factor z(u).
u*(u - 1)**2*(u + 2)/6
Let l = 122230/1027 + -8904/79. Let 4312/13*k + l*k**3 + 2/13*k**4 + 84*k**2 - 5488/13 = 0. Calculate k.
-14, 1
Let a(x) be the first derivative of x**6/24 - 12*x**5/5 + 93*x**4/16 - 23*x**3/6 + 1250. Let a(i) = 0. Calculate i.
0, 1, 46
Let j(h) be the third derivative of h**6/48 + 13*h**5/8 + 665*h**4/16 + 1805*h**3/12 - 8*h**2 + 67. Factor j(x).
5*(x + 1)*(x + 19)**2/2
Factor -516267 + 8930*r - 2713818 - 378618 - 378542 - 5*r**2.
-5*(r - 893)**2
Let z(l) be the second derivative of -29/8*l**3 + 3/4*l**2 + 0 + 21/4*l**4 + 46*l. Find a such that z(a) = 0.
2/21, 1/4
Let f be (1/2)/((-4)/120*-5). Determine q so that -3*q**2 - 11*q + 37*q + 10*q - f*q**3 = 0.
-4, 0, 3
Let q(x) = 16*x**3 + 1012*x**2 - 11*x - 11. Let s(l) = -3*l**3 - 201*l**2 + 2*l + 2. Let w(n) = -4*q(n) - 22*s(n). Factor w(i).
2*i**2*(i + 187)
What is i in -2360*i**2 - 3483*i**3 + 364 + 3852*i - 243*i**4 + 1550*i**2 - 3102*i**2 - 988 = 0?
-13, -2, 2/9, 4/9
Suppose 0 = b - 6 - 28. Suppose 0 = -5*l - k + 4*k + b, -12 = -l - 2*k. Factor -2*z**3 + 33 - 10*z - 11 - 18 + l*z**2.
-2*(z - 2)*(z - 1)**2
Let 1/2*j**2 - 423/2*j + 0 = 0. What is j?
0, 423
Let i = 24208 + -24206. Let d(x) be the first derivative of -2/39*x**3 + 10/13*x + 33 - 4/13*x**i. Solve d(o) = 0 for o.
-5, 1
Suppose 0 = -3*i + n + 106 - 10, 0 = 4*n + 12. Suppose -44*k + i*k = 0. Factor -3/7*w**4 + k - 6/7*w**3 + 0*w**2 + 0*w + 3/7*w**5.
3*w**3*(w - 2)*(w + 1)/7
Factor 726*n + 544 - 5*n**4 + 30*n**3 + 204*n - 239 + 280 + 380*n**2.
-5*(n - 13)*(n + 1)*(n + 3)**2
Let c = 201220 - 201218. Determine m so that -28/15*m + 2/15*m**c + 16/5 = 0.
2, 12
Let y(a) be the third derivative of 0*a + 12*a**3 + 13*a**2 - 1/20*a**5 + 0 + 5/4*a**4. Suppose y(c) = 0. What is c?
-2, 12
Let s(y) be the third derivative of y**6/30 + 16*y**5/15 - 9*y**2 + y + 15. Let s(z) = 0. Calculate z.
-16, 0
Let t(w) = w**3 - 16*w**2 - 18*w + 25. Let o be 33/(-22) + (0 - 37/(-2)). Let l be t(o). Find b such that -b - l*b**2 - 7*b**3 + 11*b**3 - 3*b + 8 = 0.
-1, 1, 2
Let w be (3/(-17))/(69498/(-71604)). Factor -32/11*x + w*x**3 + 8/11*x**2 - 128/11.
2*(x - 4)*(x + 4)**2/11
Let n(y) be the second derivative of 64/3*y**3 + 53*y - 1/3*y**4 - 512*y**2 + 0. Solve n(w) = 0 for w.
16
Factor -272*z**2 - 496*z + 6686*z**3 + 2112 + 6695*z**3 - 13385*z**3.
-4*(z - 2)*(z + 4)*(z + 66)
Let r be 1040/480 + 55/(-66). Suppose -1/6*h**2 + r*h + 3/2 = 0. What is h?
-1, 9
Let b(p) be the first derivative of 0*p + 1/4*p**4 + 0*p**2 + 0*p**3 - 22. What is q in b(q) = 0?
0
Find l such that -54*l**2 + 6*l**4 + 140/3*l + 0 + 2/3*l**3 + 2/3*l**5 = 0.
-7, -5, 0, 1, 2
Let z(p) be the second derivative of 20/21*p**4 - 11/10*p**5 + 37 + 0*p**2 - 4/21*p**3 + p - 121/105*p**6. Determine g, given that z(g) = 0.
-1, 0, 2/11
Let g(s) be the first derivative of 900*s**4 + 1840*s**3 - 1582*s**2 + 392*s - 1026. Factor g(m).
4*(m + 2)*(30*m - 7)**2
Let v(b) be the second derivative of -b**7/105 + b**6/15 - 3*b**5/50 - 17*b**4/30 + 28*b**3/15 - 12*b**2/5 + 245*b + 2. Solve v(a) = 0.
-2, 1, 2, 3
Let y(g) be the second derivative of -g**6/30 + 13*g**5/20 - 23*g**4/12 + 11*g**3/6 + 67*g - 32. Determine d so that y(d) = 0.
0, 1, 11
Let h = -10272/581 - -1586/83. Factor -10/7*n**3 + h*n + 0 + 2/7*n**4 - 2/7*n**2.
2*n*(n - 5)*(n - 1)*(n + 1)/7
Let u(c) be the third derivative of c**6/200 - 29*c**5/100 + 63*c**4/20 - 72*c**3/5 + 4*c**2 - 10*c. Find w, given that u(w) = 0.
2, 3, 24
Let u(w) be the second derivative of 63*w**5/5 + 65*w**4/3 + 4*w**3/3 - 1457*w. Suppose u(p) = 0. What is p?
-1, -2/63, 0
Factor 1/3*l**5 - 31/3*l**4 + 29*l**3 + 28/3*l - 85/3*l**2 + 0.
l*(l - 28)*(l - 1)**3/3
Let s be (0 - 38)*1*(-6)/120. Let u = s - 7/5. Find g such that -2 + 2*g - u*g**2 = 0.
2
Let q(l) be the third derivative of -l**6/180 + 11*l**5/90 - 7*l**4/36 - 4*l**3 + l**2 - 29. Let c(o) be the first derivative of q(o). Factor c(z).
-2*(z - 7)*(3*z - 1)/3
Let i(v) = -759*v**2 - 8*v**3 - 1 + 1 + 766*v**2 - 5*v. Let b = -6 - -10. Let y(t) = 9*t**3 - 6*t**2 + 5*t. Let m(k) = b*i(k) + 3*y(k). Solve m(w) = 0.
0, 1
Suppose 5*f - 2*q = 25, -28*f + 2*q + 4 = -30*f. Let b(t) be the first derivative of -2/35*t**5 + 0*t + f + 0*t**4 + 0*t**2 + 2/21*t**3. Factor b(w).
-2*w**2*(w - 1)*(w + 1)/7
Let h(a) be the third derivative of 0*a + 1/40*a**4 - 1/5*a**3 + 9 + 1/50*a**5 - 1/200*a**6 - a**2. Let h(g) = 0. What is g?
-1, 1, 2
Let y be -1*(-16)/40*(113/56 - 3/21). Let -3/4 + 3/2*r - y*r**2 = 0. What is r?
1
Let a be -30*(-19)/(-2185)*(-69)/12. Solve -a*u**2 - 12 - 9*u = 0.
-4, -2
Let u(i) be the second derivative of 0*i**2 - 28*i + 1 - 3/14*i**4 + 1/70*i**5 + 6/7*i**3. Factor u(w).
2*w*(w - 6)*(w - 3)/7
Let n(q) be the first derivative of 900*q + 97 - 840*q**2 + 28*q**4 + 4/5*q**5 + 664/3*q**3. Factor n(v).
4*(v - 1)**2*(v + 15)**2
Let f(t) be the first derivative of -10/9*t**3 - 1/12*t**4 - 17/6*t**2 - 8/3*t - 7. Suppose f(i) = 0. What is i?
-8, -1
Let j(m) = 13*m + 451. Let l be j(-34). Suppose 6*s = -30, -4*d = l*s - 13*s - 32. Factor -2/11*n**2 - 2/11*n**d + 2/11*n**4 + 0 + 2/11*n.
2*n*(n - 1)**2*(n + 1)/11
Find g such that 121/6*g - 61/3 + 1/6*g**2 = 0.
-122, 1
Let f(n) = -n**3 + 197*n**2 + 1643*n - 613. Let x be f(205). Let 0 + x*h + 2/3*h**2 = 0. Calculate h.
-3, 0
Let q(f) = 5*f**2 + 52*f - 664. Let y(k) = 2. Let x(d) = d**2 - 4. Let l(g) = x(g) + 3*y(g). Let n(z) = -6*l(z) + q(z). Determine t, given that n(t) = 0.
26
Let n be 42/(-3 - 4) - (-12)/(7/((-63)/(-18))). Suppose n + 2/5*x**3 + 64/5*x**2 + 0*x = 0. Calculate x.
-32, 0
Determine y, given that 2656*y - 631174 - 202395 - 42*y**2 + 16*y**2 - 830*y + 25*y**2 = 0.
913
Let z(q) be the second derivative of -3/2*q**3 + 45*q + 0 + 1/4*q**4 + 3*q**2. Factor z(h).
3*(h - 2)*(h - 1)
Let l(u) = -13*u**2 - 72*u - 315. Let h(f) = 3*f**2 + 18*f + 79. Let i = -68 - -66. Let v(n) = i*l(n) - 9*h(n). Factor v(r).
-(r + 9)**2
Let o be 51/(1 - -2) + -3. Suppose -o*y = -19*y + 10. Factor 5*h**4 - 3*h**2 + 0*h**2 - 15*h**3 + 0*h**4 - 2*h**y + 15*h.
5*h*(h - 3)*(h - 1)*(h + 1)
Let y(g) be the third derivative of g**5/30 + 3*g**4/8 + 5*g**3/3 - 1586*g**2. Factor y(h).
(h + 2)*(2*h + 5)
Let l(v) = -v**2 - 20*v + 3. Let c be l(-20). Determine t so that -36*t**4 - 76*t**2 + 343*t - 5*t**3 - 319*t + 89*t**c + 4*t**5 = 0.
0, 1, 6
Suppose -14 + 26 = 4*g, 4*g - 12 = 7*v. Let a(r) be the third derivative of 5/24*r**4 + 0*r**3 + v*r - 1/12*r**5 + 3*r**2 + 0. Factor a(y).
-5*y*(y - 1)
Suppose 12 = -3*g, 3*g + 0*g = 5*s - 177. Suppose -s*r - 37*r + 507 - 49*r + 3*r**2 + 41*r = 0. Calculate r.
13
Suppose 2048*i + 180*i**2 + 705 - 2757 - 88*i**2 - 88*i**2 = 0. Calculate i.
-513, 1
Let r = -462 + 490. Let l(c) = 6*c**4 - 6*c**3 - 6*c**2 + 20*c. Let g(n) = -n**4 + n**3 + n**2 - 3*n. Let w(u) = r*g(u) + 4*l(u). Suppose w(h) = 0. Calculate h.
-1, 0, 1
Let l(v) = -v**