92. Let z(r) = -21*r**3 - 145*r**2 - 180*r - 32. Let l(d) = -6*j(d) + 34*z(d). Find h such that l(h) = 0.
-8, -1, -2/9
Let p(t) be the first derivative of t**5/5 - 15*t**4/4 + 59*t**3/3 - 45*t**2/2 - 2857. Factor p(c).
c*(c - 9)*(c - 5)*(c - 1)
Let l(a) be the first derivative of 1/20*a**4 - 3/5*a**2 + 1/5*a**3 - 8/5*a + 62. Factor l(m).
(m - 2)*(m + 1)*(m + 4)/5
Let p = -110167/24 - -13772/3. Solve 0 - p*t**3 - 15/4*t + 33/8*t**2 = 0.
0, 1, 10
Let x(i) be the first derivative of -3*i**3 + 19 + 2*i**3 + 54 + 6*i**2 - 108*i + 9*i**2 + 45*i. What is f in x(f) = 0?
3, 7
Let g = -79614/37 + 2152. Let n = -53/333 + g. Determine l so that -n*l**4 - 2/9*l**3 + 0*l**2 + 1/9 + 2/9*l = 0.
-1, 1
Let r = -7137 + 5702461/799. Let k = 2383/5593 - r. Factor -4/7 - k*i + 1/7*i**2.
(i - 4)*(i + 1)/7
Suppose 3*s - 92*g + 88*g = -2740, g - 3675 = 4*s. Let h be 0 - 3 - s/280. Determine v, given that 0 + h*v**5 + 0*v + 2/7*v**3 + 0*v**2 - 4/7*v**4 = 0.
0, 1
Let j = 58307/5 + -58306/5. Factor -1/10*b**2 + j*b + 3/10.
-(b - 3)*(b + 1)/10
Let v be (-4)/(-14) - (-188)/28. Suppose 0 = 3*o - v*o + 8. Factor -91 + o*g**2 + 91 + 6*g.
2*g*(g + 3)
Let d(v) be the third derivative of v**5/20 - 169*v**4/4 + 28561*v**3/2 + 8*v**2 - 45. Factor d(b).
3*(b - 169)**2
Let c(o) be the third derivative of -o**6/60 + 11*o**5/10 - 50*o**4/3 - 3029*o**2. Determine p, given that c(p) = 0.
0, 8, 25
Let b be 6*(427/(-63) - 210/(-30)). Find f such that -12*f**2 - 32/3*f + b = 0.
-1, 1/9
Factor -1795254 - 3/2*o**2 + 3282*o.
-3*(o - 1094)**2/2
Let i(m) be the second derivative of 21*m**5/20 - 1479*m**4/4 + 946*m**3 - 630*m**2 + 506*m + 3. Factor i(z).
3*(z - 210)*(z - 1)*(7*z - 2)
Find l, given that 46/3*l**3 - 256/3*l - 64/3 + 28/3*l**4 - 2*l**5 - 60*l**2 = 0.
-2, -1, -1/3, 4
Solve 0 + 0*b + 6*b**3 + 2/7*b**5 - 16/7*b**4 - 36/7*b**2 = 0.
0, 2, 3
Let u(r) = r - 43 + 27*r**3 - r**2 - 28*r**3 + 42. Let s(p) = 5*p**4 + 16*p**3 + 6*p**2 - 6*p + 6. Let g(b) = s(b) + 6*u(b). Factor g(h).
5*h**3*(h + 2)
Let o(v) be the second derivative of v**8/5880 - v**7/588 + v**6/210 - v**3/6 - 25*v**2 - v - 7. Let t(f) be the second derivative of o(f). Factor t(i).
2*i**2*(i - 3)*(i - 2)/7
Let i(v) be the first derivative of -11*v**4/14 + 134*v**3/21 - 60*v**2/7 - 1458. Factor i(r).
-2*r*(r - 5)*(11*r - 12)/7
Let h(w) be the first derivative of -4*w**3/27 - 42*w**2 + 3088*w/9 + 867. What is v in h(v) = 0?
-193, 4
Let j(z) be the first derivative of 3*z**4/8 + 93*z**3/2 + 5733*z**2/4 - 36015*z/2 + 5395. Factor j(r).
3*(r - 5)*(r + 49)**2/2
Suppose -898 = -28*h - 226. Let g(k) = 12*k**4 - 280*k**3 - 892*k**2 - 776*k - 200. Let b(l) = -l**3 + l**2 - 1. Let n(w) = h*b(w) + g(w). Solve n(a) = 0 for a.
-1, -2/3, 28
Factor 29/4*a**3 - 1/4*a**5 - 14 + 1/2*a**4 - 5*a + 23/2*a**2.
-(a - 7)*(a - 1)*(a + 2)**3/4
Let q(h) be the first derivative of -2/3*h**3 + 82*h**2 - 128 - 3362*h. Factor q(y).
-2*(y - 41)**2
Let a = -109276 + 874209/8. Factor -1/2 - a*j**2 + 1/2*j.
-(j - 2)**2/8
Let c(t) be the first derivative of -t**3/3 - 37*t**2/2 - 36*t + 864. Factor c(z).
-(z + 1)*(z + 36)
Factor x**2 + 2*x**2 - 25*x**4 - 9*x**3 + 22*x**4 - 41*x + 50*x.
-3*x*(x - 1)*(x + 1)*(x + 3)
Let d(s) = s + 932. Let r be d(53). Let u = r + -985. Let -2/3*g**4 + u*g + 0 - 50/3*g**2 + 20/3*g**3 = 0. Calculate g.
0, 5
Let y = -11 + 15. Let 36*i + 153 - 189 - y*i**3 + 0*i**2 + 4*i**2 = 0. Calculate i.
-3, 1, 3
Let a(j) be the second derivative of j**4/26 - 334*j**3/39 + 111*j**2/13 + 42*j - 26. Factor a(w).
2*(w - 111)*(3*w - 1)/13
Let j(a) = -2*a**2 - 22*a - 41. Let d be j(-10). Let r(h) = -h**3 - 22*h**2 - 19*h + 44. Let c be r(d). Factor 27/4*o - 9/2*o**c + 0 + 3/4*o**3.
3*o*(o - 3)**2/4
Let w(u) = 6*u**3 + 2*u**2 - 3*u + 1. Let q be w(2). Let t = q + -49. Factor 27*k - 16 - k**2 - 27*k + 5*k**t.
4*(k - 2)*(k + 2)
Suppose 0 = -59*g + 1289456 - 1289161. Determine b, given that -4*b + 0 + 1/4*b**g - 13/4*b**4 - 47/4*b**2 - 45/4*b**3 = 0.
-1, 0, 16
Let u(m) be the third derivative of -m**7/504 - 13*m**6/36 + 53*m**5/24 + 9*m**4/2 - 224*m**2. Let r(z) be the second derivative of u(z). Factor r(b).
-5*(b - 1)*(b + 53)
Suppose -14*r = 22*r - 288. Let g(i) be the first derivative of 0*i + r + 2/3*i**3 - 1/4*i**4 - 1/2*i**2. Find o such that g(o) = 0.
0, 1
Let u(s) = -37*s - 808 + 36*s + 46*s. Let x be u(18). Factor 0 + x*m**3 - 2/3*m**4 - 2*m**2 + 2/3*m.
-2*m*(m - 1)**3/3
Let l be 35/21*876/(-6540). Let z = -1/981 - l. Factor 0 + 0*p + 2/9*p**4 - 4/9*p**2 - z*p**3.
2*p**2*(p - 2)*(p + 1)/9
Let z(g) = g**3 - 9*g**2 + 15*g - 4. Let d be z(7). Let 3*k**2 - 2*k**2 + d*k**4 - 17*k**2 + 7*k**2 + 6*k = 0. Calculate k.
-2, 0, 1
Let b(m) be the second derivative of -23/54*m**4 - 1/18*m**5 + 0*m**2 + 0 - 126*m - 4/9*m**3. Factor b(q).
-2*q*(q + 4)*(5*q + 3)/9
Let p be 60/28 - 90/42. Let y(g) be the third derivative of -1/30*g**6 + 0*g**5 + 0 - 2/105*g**7 + 0*g + 0*g**3 + 16*g**2 + p*g**4. Factor y(c).
-4*c**3*(c + 1)
Let w = 419 + -417. Determine x so that -263*x**2 + 0 + 267*x**w - 68*x + 0 = 0.
0, 17
Let c(z) be the first derivative of z**6/27 - z**4/9 + z**2/9 - 1293. Factor c(j).
2*j*(j - 1)**2*(j + 1)**2/9
Let p(h) be the second derivative of 22/3*h**4 - 2/15*h**6 + 3/5*h**5 + 0*h**2 + 82*h - 16*h**3 + 0. Determine k, given that p(k) = 0.
-4, 0, 1, 6
Factor -227*s**2 + 43826 + 39*s**2 - 21917 + 4*s**5 - 21909 - 196*s**4 + 380*s**3.
4*s**2*(s - 47)*(s - 1)**2
Let p(h) be the third derivative of h**6/24 + 2*h**5 + 30*h**4 - 2435*h**2. Factor p(r).
5*r*(r + 12)**2
Let 8384*h + 2113*h**2 - 2109*h**2 - 955756 + 5348972 = 0. Calculate h.
-1048
Let k(x) be the third derivative of 3*x**5/70 - 19*x**4/56 + 3*x**3/14 - 4066*x**2. Solve k(d) = 0 for d.
1/6, 3
Let n(j) be the second derivative of j**6/15 + j**5 + 10*j**4/3 - 10*j**3/3 - 21*j**2 + 7969*j. Determine l, given that n(l) = 0.
-7, -3, -1, 1
Factor -63/4*t**3 - 16 + 65/4*t**2 - 1/4*t**4 + 63/4*t.
-(t - 1)**2*(t + 1)*(t + 64)/4
Let v(w) be the second derivative of w**6/120 - w**5/20 - w**4 - 139*w**3/6 - 167*w. Let q(f) be the second derivative of v(f). Factor q(o).
3*(o - 4)*(o + 2)
Let k(p) = -182*p**2 + 890*p - 885. Let f(l) = 122*l**2 - 888*l + 884. Let c(z) = 6*f(z) + 4*k(z). Factor c(y).
4*(y - 441)*(y - 1)
Let d(w) = -61*w + 216. Let k be d(-14). Suppose -755 = 7*r - k. Factor -150*y**4 - 3/2 + r*y**3 + 213/8*y**2 - 9/2*y.
-3*(4*y + 1)**2*(5*y - 2)**2/8
Let y = 355/56 - 153/28. Factor 1 + y*c**2 - 1/8*c**3 - 7/4*c.
-(c - 4)*(c - 2)*(c - 1)/8
Let z(c) be the third derivative of 1/330*c**6 - 111*c**2 + 0 - 1/385*c**7 + 1/165*c**5 + 1/33*c**3 + 1/1848*c**8 + 0*c - 1/44*c**4. Factor z(t).
2*(t - 1)**4*(t + 1)/11
Let t(y) be the third derivative of 0*y**3 + 11/210*y**5 + 5/42*y**4 - 136*y**2 + 1 + 0*y + 1/420*y**6. Suppose t(j) = 0. What is j?
-10, -1, 0
Let y(v) be the first derivative of 0*v + 20/3*v**4 + 0*v**2 + 1/3*v**5 + 290 - 10/9*v**6 - 20/9*v**3. Find u such that y(u) = 0.
-2, 0, 1/4, 2
Let i(a) = 3*a**2 - 715*a - 6675. Let w be i(-9). Factor 19/10*l + 0 - 2/5*l**w + 15/2*l**2.
-l*(l - 19)*(4*l + 1)/10
Let n(w) be the first derivative of -w**6/6 - 7*w**5/5 + 41*w**4/4 - 37*w**3/3 - 20*w**2 + 44*w + 1244. Determine x so that n(x) = 0.
-11, -1, 1, 2
Let u(b) = -b**4 + b**2 - 1. Let l(z) = -23. Let t(f) = 18. Let p(m) = 4*l(m) + 5*t(m). Let j(v) = p(v) - 2*u(v). Let j(s) = 0. Calculate s.
-1, 0, 1
Suppose t = -p + 9, 27*t - 4*p = 26*t - 26. Find w such that -80*w**3 - 152/3*w + 50/3*w**4 + 8 + 106*w**t = 0.
2/5, 1, 3
Let z(x) be the first derivative of 46/5*x**3 - 47 + 1587/5*x**2 + 1/10*x**4 + 24334/5*x. Factor z(g).
2*(g + 23)**3/5
Let f(v) be the first derivative of -v**4/14 - 18*v**3/7 - 24*v**2/7 + 104*v/7 + 2313. Factor f(g).
-2*(g - 1)*(g + 2)*(g + 26)/7
Let 622/9*q**2 + 0 + 10/9*q**3 + 124/9*q = 0. What is q?
-62, -1/5, 0
Let h(j) be the second derivative of -1/20*j**5 - 12*j - 3*j**2 + 0*j**3 + 0 + 1/120*j**6 + 1/12*j**4. Let y(g) be the first derivative of h(g). Factor y(l).
l*(l - 2)*(l - 1)
Let -1125 + 80*z**3 + 22*z**4 - 14*z**4 + 25*z**2 - 5*z**4 - 495*z**2 - 8*z**4 + 1200*z = 0. What is z?
3, 5
Let r(q) = 7*q**3 - 93*q**2 - 429*q - 567. Let s(x) = -34*x**3 + 372*x**2 + 1719*x + 2268. Let h(y) = -9*r(y) - 2*s(y). Factor h(f).
(f + 3)**2*(5*f + 63)
Let u(r) = -139*r**3 - 361*r**2 - 2