ive of o(j). Factor d(s).
3*(s + 1)*(5*s + 3)
Let j(h) be the first derivative of h**7/105 + 17*h**6/60 - 3*h**5/5 - 193*h**2/2 + 106. Let t(b) be the second derivative of j(b). Solve t(k) = 0.
-18, 0, 1
Let g = 3/16135 - -9217/16135. Determine z, given that -g + 6/7*z**3 + 2*z - 16/7*z**2 = 0.
2/3, 1
Factor 18/7*u + 3/7*u**2 + 15/7.
3*(u + 1)*(u + 5)/7
Let o(h) = 5*h**3 - 338*h**2 - 679*h - 348. Let x(t) = -11*t**3 + 674*t**2 + 1353*t + 696. Let a(k) = -7*o(k) - 3*x(k). Let a(m) = 0. What is m?
-1, 174
Let y be (-6)/(-4)*88/(-132). Let i be 43152/10005 - ((-4)/(-46))/y. Suppose 22/5*o - 8/5*o**5 - 14/5*o**3 - 4/5 + 26/5*o**4 - i*o**2 = 0. What is o?
-1, 1/4, 1, 2
Let f = -663306 - -663309. Factor -13/3*h + 1/3*h**f + 10/3 + 2/3*h**2.
(h - 2)*(h - 1)*(h + 5)/3
Let q(s) be the second derivative of -s**5/180 + 5*s**4/24 - 7*s**3/9 - 135*s**2/2 + 121*s. Let v(k) be the first derivative of q(k). Let v(l) = 0. Calculate l.
1, 14
Let b(k) be the second derivative of k**6/24 - 5*k**5/4 + 475*k**4/48 - 100*k**3/3 + 105*k**2/2 + 947*k. Determine u so that b(u) = 0.
1, 2, 3, 14
Let k(r) be the second derivative of -r**7/105 + 4*r**6/75 + 19*r**5/50 - 53*r**4/15 + 8*r**3 + 2155*r. Determine i, given that k(i) = 0.
-5, 0, 2, 3, 4
Let m(c) be the first derivative of c**5/60 + 11*c**4/24 - 2*c**3 - 18*c**2 + 41. Let s(v) be the second derivative of m(v). Suppose s(n) = 0. What is n?
-12, 1
Let g(c) be the third derivative of c**6/120 - 1679*c**5/60 + 705599*c**4/24 - 703921*c**3/6 + 3990*c**2. Suppose g(k) = 0. Calculate k.
1, 839
Suppose 5*u + 15 = 10*u. Suppose 0 = 4*f + r - 9, -r + 2*r + u = 2*f. Factor -15 - 4*w**2 + 6*w**2 + 12*w - 5*w**f + 6*w.
-3*(w - 5)*(w - 1)
Let u(y) be the second derivative of y**5/20 - y**4/2 + y**3/3 - 9*y**2/2 + 9*y. Let c be u(6). Factor -5*i**4 + 10 - 10 - i**c - 9*i**3 - 5*i**2.
-5*i**2*(i + 1)**2
Let a(t) be the first derivative of -48*t - 3/4*t**4 + 4*t**3 + 6*t**2 + 42. Factor a(o).
-3*(o - 4)*(o - 2)*(o + 2)
Let y(a) be the second derivative of -10*a**2 - 13/3*a**3 + 43*a + 1/2*a**5 + 0 - 1/15*a**6 + 1/2*a**4. What is j in y(j) = 0?
-1, 2, 5
Determine m so that 180 + 584*m**2 + 9*m**4 + 18*m**3 - m**4 + 858*m + 65*m**3 + 47*m**3 = 0.
-10, -3, -1/4
Suppose g + 15 = 5*b - g, -5*g - 3 = -b. What is f in 21 + 25*f**2 + 8 + 6 - 54*f**3 - 65*f + 59*f**b = 0?
-7, 1
Let s(j) be the second derivative of -j**6/60 - 3*j**5/8 - 61*j**4/24 - 7*j**3/4 + 49*j**2/2 - 675*j. Solve s(k) = 0.
-7, -2, 1
Let q(r) = 3*r**2 + 2*r - 5. Let b = 15 - 12. Let g be q(b). Factor -35*a - 14 - 5*a**4 + g*a**3 - 11 - 13*a**3 - 5 + 15*a**2.
-5*(a - 3)*(a - 2)*(a + 1)**2
Let a(y) = 4711*y**2 - 9*y - 72. Let c be a(-5). Let f = 826936/7 - c. Factor -1296/7*t**3 - 750/7 - 3240/7*t**2 - f*t.
-6*(6*t + 5)**3/7
Let y = -1188 + 943. Let r be y/(-252) + (-24)/32. Factor -r*l + 2/9 - 10/9*l**2 - 2/3*l**3.
-2*(l + 1)**2*(3*l - 1)/9
Let b(o) be the third derivative of -o**7/140 - o**6/8 + 2*o**5/5 + 29*o**4/8 + 33*o**3/4 - 39*o**2 - 27*o. Suppose b(a) = 0. What is a?
-11, -1, 3
Let h(w) be the first derivative of -2*w**5/55 + 87*w**4/22 - 112*w**3 - 176*w**2 - 1857. Factor h(k).
-2*k*(k - 44)**2*(k + 1)/11
Let m = -102320 + 1739448/17. Find p such that -14/17*p**4 - 38/17*p**3 - 32/17*p - 2/17*p**5 - m - 50/17*p**2 = 0.
-2, -1
Let f(l) be the second derivative of -l**5/30 - 4*l**4/9 - 5*l**3/9 + 14*l**2/3 - 2*l - 407. Solve f(o) = 0.
-7, -2, 1
Let a = -269478/7 - -38498. Find i, given that -4/7*i**5 + 4/7*i**3 + 8/7*i**4 + 0*i - a*i**2 + 0 = 0.
-1, 0, 1, 2
Find c, given that -31*c - 120*c**2 + 64*c**2 + 55*c**2 - 30 = 0.
-30, -1
Let k(i) = i**3 - 3*i**2 - 9*i + 16. Let n be k(5). Factor 15 + n - 3*u**3 + 3*u**2 + 30*u - 12 + 0*u**2.
-3*(u - 4)*(u + 1)*(u + 2)
Let b = -4528 + 4528. Determine v so that 48/5*v**3 - 3*v**2 + b - 27/5*v**4 - 6/5*v = 0.
-2/9, 0, 1
Let p = 3618 + -3613. Let a(n) be the second derivative of 0 - 4*n**2 - 1/2*n**4 + 13*n - 9/20*n**p + 10/3*n**3. Factor a(g).
-(g + 2)*(3*g - 2)**2
Let s = -147/673 + 2669/6057. Determine g so that s*g**2 - 2/9*g**4 + 0*g + 0 + 0*g**3 = 0.
-1, 0, 1
Let o(a) be the third derivative of -5*a**8/1344 - a**7/168 + 9*a**6/32 - 9*a**5/16 - 45*a**4/16 + 3276*a**2. Find t such that o(t) = 0.
-6, -1, 0, 3
Let c(v) be the second derivative of -v**6/30 - 3*v**5/10 - v**4/12 + 4*v**3 + 10*v**2 - 87*v + 11. Let c(w) = 0. Calculate w.
-5, -2, -1, 2
Let a(j) be the third derivative of 7/48*j**4 + 0 + 11*j**2 + 0*j - 1/120*j**5 - 1/2*j**3. Let a(b) = 0. Calculate b.
1, 6
Let r = -270 + 2434/9. Let z be (-448)/288*(-3 + 2)*2. Factor 8/3*l**2 + 10/9 - r*l**3 - 2/9*l**4 - z*l.
-2*(l - 1)**3*(l + 5)/9
Suppose 924*j**2 + 784*j + 204*j**4 + 201*j**4 - 606*j**4 + 144*j**3 + 205*j**4 = 0. Calculate j.
-28, -7, -1, 0
Let r be (20/8)/(18/15624). Solve -r*s**3 + 2170*s**3 + 8*s**2 - 4*s**4 - 4 = 0 for s.
-1, 1
Let x(r) be the second derivative of 72*r**5/5 + 11*r**4/2 - r**3/4 + 1905*r. Factor x(j).
3*j*(4*j + 1)*(48*j - 1)/2
Let c be (35/(-40)*4)/(2 - -3). Let p = c + 6/5. Factor -1/2*i**5 + 0 + 0*i**3 + 0*i - p*i**4 + 0*i**2.
-i**4*(i + 1)/2
Suppose -4*t + 4 - 16 = 2*r, 5*r + 2*t = 2. Find n, given that 9*n**4 + 1479*n**r - 1414*n**2 - 25*n**3 - 10*n - 33*n**4 - 6*n**4 = 0.
-2, 0, 1/6, 1
Determine h, given that 56/3 + 6*h**4 + 22/3*h**3 - 16*h - 50/3*h**2 + 2/3*h**5 = 0.
-7, -2, 1
Let u = 365579/7 + -52225. Let h be 4/24*-8*-3. Factor 0 + u*k - 4/7*k**3 - 4/7*k**h + 4/7*k**2.
-4*k*(k - 1)*(k + 1)**2/7
Suppose 5*y + 25 = -34*a + 37*a, -4*y - 20 = -5*a. Let j(f) be the first derivative of f**4 + a*f**2 + 0*f + 2 - 4/15*f**5 - 8/9*f**3. Factor j(b).
-4*b**2*(b - 2)*(b - 1)/3
Let n be 182/7 + (-4 - -3). Suppose 25 = 4*v - o - 4*o, -v = -5*o - n. Factor 2/3*h - 5/3*h**2 + v - h**3.
-h*(h + 2)*(3*h - 1)/3
Suppose 56 = s + 2*q, -26*s - 5*q + 110 = -24*s. Suppose 0 = 28*i - s + 4. Factor 0 - 21/4*h**4 - 12*h**3 + 0*h - 3*h**i.
-3*h**2*(h + 2)*(7*h + 2)/4
Determine z, given that 2/13*z**5 + 62/13*z**4 + 64/13*z - 66/13*z**3 - 62/13*z**2 + 0 = 0.
-32, -1, 0, 1
Let 0 + 51*k + 3/7*k**2 = 0. Calculate k.
-119, 0
Suppose -1422*r - 2 = -1420*r. Let x(g) = g**2 + g + 2. Let b be x(r). Solve 3/2*u + 9/2 + 1/2*u**3 - 5/2*u**b = 0 for u.
-1, 3
Let w(k) be the third derivative of 5*k**8/336 + 3*k**7/14 + k**6/3 - 1051*k**2. Factor w(j).
5*j**3*(j + 1)*(j + 8)
Factor 5/3*p**2 + 0 - 26/9*p - 1/9*p**4 + 4/3*p**3.
-p*(p - 13)*(p - 1)*(p + 2)/9
Let x(f) be the second derivative of -f**7/14 + 19*f**6/5 + 87*f**5/5 - 2070*f**4 - 36288*f**3 - 254016*f**2 - 1120*f. Suppose x(s) = 0. Calculate s.
-6, 28
Let y(d) = -9*d + 7. Let j be y(0). Let v be j*(-6)/12 + 4. Factor -7/4*b - v*b**3 + 7/4*b**2 + 1/2.
-(b - 2)*(b - 1)*(2*b - 1)/4
Let a(h) = -48*h**3 + 81*h**2 + 108*h + 18. Let v(q) = 23*q**3 - 40*q**2 - 53*q - 8. Let p(j) = -6*a(j) - 13*v(j). Factor p(d).
-(d - 4)*(d + 1)*(11*d - 1)
Let y(n) be the first derivative of -n**5/15 - 3*n**4/4 - 7*n**3/3 - 19*n**2/6 - 2*n + 13433. Solve y(r) = 0.
-6, -1
Let o = -1/5006 - -31288/2503. Let q(t) be the first derivative of 5/4*t**4 + 5/3*t**3 + 15*t - 9 - o*t**2. Determine d, given that q(d) = 0.
-3, 1
Let w = -1715/6 + 573/2. Let b(o) be the second derivative of 4*o**2 + 8*o + w*o**3 - 1/5*o**5 - 2/3*o**4 + 0. Solve b(x) = 0.
-2, -1, 1
Let p(b) = 5*b + 82. Let h be p(-16). What is y in 56*y**h + 23*y**3 + 27*y**5 + 64*y**4 - 23*y**5 + 60*y**3 + 33*y**3 = 0?
-14, -1, 0
Let w(q) be the first derivative of -4*q**5/25 - 4*q**4 - 76*q**3/15 + 319. Let w(d) = 0. Calculate d.
-19, -1, 0
Let i(j) be the third derivative of -j**6/660 + 37*j**5/165 + 25*j**4/44 - 5055*j**2. Let i(t) = 0. What is t?
-1, 0, 75
Let o(u) be the first derivative of -1/6*u**4 + 22/27*u**3 + 40/9*u**2 + 8/3*u + 40. Factor o(n).
-2*(n - 6)*(n + 2)*(3*n + 1)/9
Suppose 2*h + 2 = i, -3*i + 58*h + 17 = 63*h. Let a be 154/i*3276/1029. Factor 156/7*u + 12/7 + 363/7*u**4 + a*u**3 + 639/7*u**2.
3*(u + 1)**2*(11*u + 2)**2/7
Suppose -31*u + 4399 = 52*u. Suppose -u*k = -52*k. Find p, given that 0*p + 0 - 1/2*p**4 + k*p**2 - 1/2*p**3 = 0.
-1, 0
Let w(u) be the third derivative of 5*u**6/108 + 80*u**5/27 - u**4/27 - 128*u**3/27 - 100*u**2. Suppose w(t) = 0. What is t?
-32, -2/5, 2/5
Let n(d) be the second derivative of 1 + 10/9*d**3 - 5/72*d**4 + 57*d - 5*d**2. F