(q) be the second derivative of -q**6/2700 + q**5/900 + q**4/9 - q**3/3 - 10*q**2 + q + 4. Let n(w) be the second derivative of i(w). Factor n(z).
-2*(z - 5)*(z + 4)/15
Solve -220/3*c - 4/3*c**3 + 124/3*c**2 - 116 = 0 for c.
-1, 3, 29
Suppose 3*h - 24 = 5*c, h + c = 6*c + 18. Let v(f) be the first derivative of 2*f**2 - 8/3*f**h + 7 + f**4 + 0*f. What is n in v(n) = 0?
0, 1
Let i(w) be the first derivative of 3*w**6/2 + 2463*w**5/5 + 42633*w**4 + 91388*w**3 - 112608*w**2 - 221952*w - 6997. Solve i(z) = 0 for z.
-136, -2, -2/3, 1
Let w(k) be the first derivative of -k**5/5 - 22*k**4/3 + 94*k**3/3 - 48*k**2 + 241*k - 196. Let u(l) be the first derivative of w(l). Factor u(r).
-4*(r - 1)**2*(r + 24)
Let k = 1359 + -1379. Let o be (44/k - -1)/(4/(-10)). Let 0 + z - z**2 + 1/4*z**4 - 1/4*z**o = 0. Calculate z.
-2, 0, 1, 2
Factor 15836/7*t**3 + 2/7*t**5 + 360/7*t**4 - 4680*t**2 + 2366*t + 0.
2*t*(t - 1)**2*(t + 91)**2/7
Factor -1364/7*r**2 + 13456 + 37120/7*r + 12/7*r**3.
4*(r - 58)**2*(3*r + 7)/7
Let v be 15/(-10)*(-12)/9. Let o = 67833/7 + -67829/7. Find t, given that v*t**2 + 18/7*t**3 + 0 + o*t + 10/7*t**4 + 2/7*t**5 = 0.
-2, -1, 0
Let j(m) be the third derivative of 1/6*m**5 + 0 - 152*m**2 + 11/240*m**6 + 1/6*m**3 + 1/315*m**7 + 37/144*m**4 + 0*m. Solve j(r) = 0.
-6, -1, -1/4
Factor 4*w**3 - 264 + 136*w**2 + 435*w + 475*w - 786*w.
4*(w - 1)*(w + 2)*(w + 33)
Let c(m) be the third derivative of 0*m**3 + 2/15*m**5 - m - 1/30*m**6 + 0*m**4 + 13*m**2 + 0. Suppose c(i) = 0. What is i?
0, 2
Let b = -605 + 605. Suppose 181*h - 190*h + 18 = b. Factor -4/19 - 10/19*s + 6/19*s**h.
2*(s - 2)*(3*s + 1)/19
Let i(a) be the first derivative of 128 + 50*a**2 - 1/2*a**5 - 5/4*a**4 + 10*a**3 + 80*a. Factor i(g).
-5*(g - 4)*(g + 2)**3/2
Suppose 6471*k**2 - 4*k - k - 14 - 6470*k**2 = 0. Calculate k.
-2, 7
Let i(h) be the first derivative of -h**5/10 - 49*h**4/4 - 1150*h**3/3 + 1250*h**2 + 3553. Factor i(c).
-c*(c - 2)*(c + 50)**2/2
Let f(w) = w**3 - 2*w**2 - 5*w + 6. Let o be f(4). Factor 30*r - 14*r**2 - 18*r + o*r**2.
4*r*(r + 3)
Let c = -24 - -28. Suppose -3*z + 28 = c*v - 0*z, -5*z = 4*v - 20. Suppose -v + 0*h**3 - 10 + 3*h**3 - 5*h**4 - 13*h**3 + 15*h**2 + 20*h = 0. What is h?
-2, 1
Let j = 461/3495 + 1/699. Let r(y) be the first derivative of -11 - y**2 - j*y**3 - 8/5*y. Find k such that r(k) = 0.
-4, -1
Let y be (7 + 1)*(8 - 42/6). Let c(a) be the first derivative of 0*a + 2/3*a**3 - 13/8*a**4 + y + 1/2*a**5 + a**2. Let c(w) = 0. Calculate w.
-2/5, 0, 1, 2
Let q(s) be the first derivative of -13/36*s**3 - 1/18*s**4 - 1/4*s**2 + 46*s + 44. Let l(k) be the first derivative of q(k). Factor l(v).
-(v + 3)*(4*v + 1)/6
Let r = 1266 - 1261. Let c be 45/25 + 5/(30 - r). Let -20/7 + 6/7*h + 2/7*h**c = 0. Calculate h.
-5, 2
Let l(q) be the second derivative of -q**7/126 - 19*q**6/18 - 1103*q**5/30 + 208*q**4/3 + 256*q**3 + 1415*q. Let l(j) = 0. Calculate j.
-48, -1, 0, 2
Let h be ((-546)/315)/(21/(-35)). Solve -44/9*l**3 - 22/9 - 4/9*l**2 + h*l**4 + 46/9*l - 2/9*l**5 = 0.
-1, 1, 11
Let x = 841 + -411. Let h(t) = 109*t**2 + 28*t + 50. Let y be h(-2). Determine b, given that 3*b**2 - y*b + x*b - b**3 = 0.
0, 3
Let i(n) = 10*n - 7 - 8*n - 5*n**3 - 8*n**2 - 5*n. Let u(a) = -a - 7 + 0*a + 6. Let v(g) = 3*i(g) - 21*u(g). Factor v(s).
-3*s*(s + 2)*(5*s - 2)
Let y be (4 + -1)*(-11)/((-33)/2). Suppose -4*t + y*k = -10, 4 + 14 = 3*t + 2*k. Factor 5*z**t - 4*z**2 + 15*z**5 - 2*z**4 - 14*z**5.
z**2*(z - 1)*(z + 2)**2
Factor 106*x + 302 - x**2 - 553*x + 146.
-(x - 1)*(x + 448)
Suppose -5*t - 74 = -74. Suppose t = 4*b + h - 12, 4*b = 2*b - h + 6. Determine m so that -84*m**2 - 18*m**3 - 11 - 1 + 68*m - 13*m**b - 5*m**3 = 0.
-3, 1/3
Factor 168 - 11*m**2 + 931*m**3 + 138*m - 22*m**2 - 934*m**3.
-3*(m - 4)*(m + 1)*(m + 14)
Suppose -3*y = -4*y + 16. Let k be (24/y)/((-6)/(-188)). Determine x, given that -k*x**2 + 27*x**2 + 25*x**2 + 5*x - 10 = 0.
-2, 1
Let z(r) be the third derivative of 0*r + 1/720*r**6 - 1/180*r**5 - 5/48*r**4 - 42*r**2 + r**3 + 0. What is d in z(d) = 0?
-4, 3
Let l = 308 + -304. Determine c, given that 2*c**3 + 28*c**3 - 3*c**l + 55*c + 55*c - 99*c**2 + 25*c - 27*c = 0.
0, 3, 4
What is l in 265/11*l + 150/11*l**3 + 1/11*l**5 + 472/11*l**2 - 56/11*l**4 + 0 = 0?
-1, 0, 5, 53
Suppose -37/2*u + 35 + 1/2*u**2 = 0. What is u?
2, 35
Let f(r) be the first derivative of -r**4/42 - 6326*r**3/21 - 10004569*r**2/7 - 63288903494*r/21 - 14660. Factor f(j).
-2*(j + 3163)**3/21
Let q(m) be the second derivative of -1/120*m**5 + 0*m**2 + 0 + 1/8*m**4 + 147*m + 0*m**3. Factor q(l).
-l**2*(l - 9)/6
Let j be (675/(-1350))/((-1)/42). Let o(f) be the third derivative of 0 + 0*f**5 + 0*f - 1/1680*f**7 - j*f**2 + 0*f**4 + 0*f**3 - 1/960*f**6. Factor o(w).
-w**3*(w + 1)/8
Let m(u) = 5*u**2 + 510*u + 15. Let v be m(-102). Let r(w) be the first derivative of -v + w**3 + 15/2*w**2 + 12*w. Factor r(l).
3*(l + 1)*(l + 4)
Let x be (-3)/6 + 126/(-60) + 3. Let t = 11/15 - x. What is m in 1/2*m**2 - 11/3*m**3 + t*m - 1/2*m**4 + 10/3*m**5 + 0 = 0?
-1, -1/4, 0, 2/5, 1
Let h(x) = 2*x**2 - 67*x - 257. Let w be h(37). Let p(d) be the second derivative of 4/15*d**3 + 0 + 1/15*d**4 - 10*d - 6/5*d**w. Factor p(k).
4*(k - 1)*(k + 3)/5
Let h = 12160 + -60796/5. What is c in 12 + 32/5*c + h*c**2 = 0?
-5, -3
Let s(k) = -8*k**3 + 735*k**2 - 2904*k + 2952. Let p(d) = -3*d**3 + 367*d**2 - 1456*d + 1476. Let r(j) = 5*p(j) - 2*s(j). Find o such that r(o) = 0.
-369, 2
Let c(s) be the first derivative of 3*s**4/28 - 138*s**3/7 + 101. Factor c(q).
3*q**2*(q - 138)/7
Let o = -30 - -32. Suppose -5*g = -2*c + 14, 7*c - 14 = o*c + 2*g. Factor 45*f**2 - 45*f**2 + 5*f**4 - c*f**3 + 12*f**5.
f**3*(3*f + 2)*(4*f - 1)
Let l(d) be the third derivative of 0 - 1/120*d**5 + 0*d**3 + 1/6*d**4 + 67*d**2 + 0*d. Factor l(b).
-b*(b - 8)/2
Let w(m) be the first derivative of -10*m**6/3 - 103*m**5 + 425*m**4/2 + 21540*m**3 - 8100*m**2 - 454. Solve w(a) = 0 for a.
-18, 0, 1/4, 10
Let r(h) = h**4 + 11*h**2 + h - 2. Let t(g) = -10*g**4 - 56*g**3 + 148*g**2 - 364*g + 24. Let p(o) = -12*r(o) - t(o). Factor p(a).
-2*a*(a - 22)*(a - 4)*(a - 2)
Solve 95*t + 80*t + 264 - 233*t - 2*t**2 = 0 for t.
-33, 4
Suppose -f + 4 = -k, -2*f + 2*k - 8 = -4*f. Let m = -881677 + 6171742/7. Find w, given that 0*w**3 - 6/7*w**2 + 8/7*w + 1/7*w**f - m = 0.
-3, 1
Let x = 1766696/13 + -135898. Factor 22/13*n**2 + 2/13*n**3 - 2/13*n - x.
2*(n - 1)*(n + 1)*(n + 11)/13
Let g(j) be the first derivative of -1/3*j**3 - 14*j - 10 + 9/2*j**2. Factor g(k).
-(k - 7)*(k - 2)
Let o(p) be the second derivative of 0 + 4/9*p**3 - 2*p**2 + 57*p + 1/36*p**4 - 1/60*p**5. Solve o(b) = 0 for b.
-3, 2
Let v(h) be the second derivative of -30*h**7/7 + 272*h**6/15 + 115*h**5 - 674*h**4/3 + 80*h**3 + 17*h + 48. Suppose v(r) = 0. Calculate r.
-3, 0, 2/9, 4/5, 5
Suppose -125*z - 67*z = 322*z. Factor -14/3*d**3 + 0 + z*d - 8/3*d**2 - 4/3*d**4 + 2/3*d**5.
2*d**2*(d - 4)*(d + 1)**2/3
Let k(h) be the first derivative of 0*h**2 + 1/12*h**4 - 9 - 14/3*h**3 + 0*h - 1/360*h**6 + 1/120*h**5. Let f(m) be the third derivative of k(m). Factor f(a).
-(a - 2)*(a + 1)
Let s(j) = -2*j**2 - 24*j + 31. Let l be 130/15*(60/(-8))/5. Let w be s(l). Let -4/9*q**4 + 0*q**2 + 0 + 2/9*q**w + 0*q + 2/9*q**3 = 0. Calculate q.
0, 1
Factor 100 - 1246 + 1143*n + 14829*n**2 - 14826*n**2.
3*(n - 1)*(n + 382)
Let n = 6655632/7 + -950804. Factor 368/7*b + 8464/7 + n*b**2.
4*(b + 46)**2/7
Let v(s) = s + 2. Let q(z) = 5*z**2 + 65*z - 40. Suppose -n - 5*w + 4 = -2*w, 0 = 4*n - w - 3. Let i(x) = n*q(x) - 10*v(x). Determine u, given that i(u) = 0.
-12, 1
Let h(f) = 4*f**2 + 4*f + 2. Let r be h(-2). Suppose 30*q - 133880 = r*q. Factor q - 6694 - 6*c**4 + 3*c**3.
-3*c**3*(2*c - 1)
Let j(a) be the second derivative of 10/27*a**3 + 0*a**2 + 1/108*a**4 + 17*a + 0. Factor j(z).
z*(z + 20)/9
Let 0 + 120/19*x**2 - 18/19*x**5 - 120/19*x**4 + 200/19*x - 182/19*x**3 = 0. Calculate x.
-10/3, -1, 0, 1
Let d(u) be the third derivative of 16/105*u**5 - 1/140*u**6 + 0 + 0*u**3 + 5*u**2 - 9*u - 5/21*u**4. Find g, given that d(g) = 0.
0, 2/3, 10
Let b(m) = m**2 - m + 19. Let o be b(0). Let x = -14 + o. Suppose -x + 5 - 3*t**3 + 3*t**5 = 0. Calculate t.
-1, 0, 1
Let p be (-34)/(-153) - 50/(-18). Factor 775*g**3 - 2*g**4 - 6*g**2 - 783*g**p + 0*