 -5*s**7/98 + s**6/10 + 99*s**5/140 - 19*s**4/28 - 2*s**3 + 18*s**2/7 + 2*s - 334. Determine f, given that u(f) = 0.
-2, -1, 2/5, 1, 3
Let n(g) be the second derivative of -5*g**7/6 - 55*g**6/3 + 193*g**5/4 + 835*g**4/3 - 170*g**3 - 5232*g. What is r in n(r) = 0?
-17, -2, 0, 2/7, 3
Let o(s) be the second derivative of -s**7/189 + s**6/45 + s**5/9 - 5*s**4/9 - s**3/3 + 3*s**2 + 7145*s. What is t in o(t) = 0?
-3, -1, 1, 3
Let q(w) be the second derivative of w**5/180 - w**4/72 - 21*w**2/2 + 59*w + 2. Let o(p) be the first derivative of q(p). Suppose o(b) = 0. Calculate b.
0, 1
Let o(y) be the second derivative of y**8/560 - 4*y**7/315 - y**6/60 + 115*y**4/12 + 15*y + 2. Let z(w) be the third derivative of o(w). Factor z(d).
4*d*(d - 3)*(3*d + 1)
Suppose 5*h + 14 = -4*j + 29, -3*h + 2*j + 9 = 0. Suppose -2*q = 4*p - 12 + 2, h*p - q + 5 = 0. Factor p*c + 3/8*c**4 + 3/2*c**2 + 0 - 3/2*c**3.
3*c**2*(c - 2)**2/8
Suppose 14*x = -j + 19*x + 25, -5*x = -5*j + 45. Suppose 5*h + 143*u = 145*u - 2, -j*h + 4 = 4*u. Determine k, given that -6/7*k - 1/7*k**2 + h = 0.
-6, 0
Suppose -5*j + 11 = 3*z, 5*z + 2 = 4*j + 8. Suppose -w + 4*n = 20, -5*n - z + 27 = 4*w. Factor 1/3*k + w + 1/3*k**2.
k*(k + 1)/3
Let o(g) = 9*g - 76. Let j be o(11). Factor 384 - 288*p - 138*p**2 + 1213*p**4 - j*p**3 - 1216*p**4 + 68*p**3.
-3*(p - 8)**2*(p - 1)*(p + 2)
Let t(g) be the third derivative of -g**8/1176 - 2*g**7/735 + g**5/105 + g**4/84 - 2*g**2 + 140. Factor t(n).
-2*n*(n - 1)*(n + 1)**3/7
Let h(y) = y**2 + 48*y + 320. Let c be h(-8). Suppose -13*g + c*g = 22*g. Factor 2/5*r**3 - 2/5*r**2 + g*r + 0.
2*r**2*(r - 1)/5
Let k be -45 + 37 + ((-663)/(-60) - 3). Let r(b) be the third derivative of -6*b**2 + 2*b**3 + 5/8*b**4 + k*b**5 + 0*b + 0. Factor r(v).
3*(v + 1)*(v + 4)
Factor 370*w**4 + 248645/6*w + 122095/3*w**3 + 0 - 82510*w**2 + 5/6*w**5.
5*w*(w - 1)**2*(w + 223)**2/6
Let o be (115/(-20))/((-33)/220). Let u(r) be the first derivative of 25/4*r**4 + o*r**3 - 3 + 25*r**2 - 40*r. Suppose u(j) = 0. What is j?
-4, -1, 2/5
Let i be 172/16 - 9/12. Factor -22*q**2 + 5*q**3 - i*q + 2*q**2 - 2*q + 90 - 3*q.
5*(q - 3)**2*(q + 2)
Let a(y) be the second derivative of y**4/108 + 41*y**3/27 - 85*y**2/6 - 715*y. Let a(w) = 0. What is w?
-85, 3
Let z(c) be the first derivative of c**5/5 + c**4/2 - 3*c**3 - 9*c**2 + 1128. Factor z(y).
y*(y - 3)*(y + 2)*(y + 3)
Suppose 93*z - 100*z = -28. Factor -z*m**2 - 4721*m + m**2 + 4733*m.
-3*m*(m - 4)
Let n(r) be the first derivative of -2662*r**6/9 - 671792*r**5/5 - 15939737*r**4 - 103933400*r**3/9 - 3145464*r**2 - 381024*r - 5728. Let n(w) = 0. Calculate w.
-189, -2/11
Let r(t) be the second derivative of -5*t**4/12 + 825*t**3/2 - 3690*t**2 + 124*t - 7. Factor r(y).
-5*(y - 492)*(y - 3)
Let u(w) = 3*w - 44. Let q be u(16). Suppose -1 = 2*i - 17. Factor 0*x**2 - q*x + 7*x**2 - 4 - i*x**2.
-(x + 2)**2
Factor -60/17 - 2/17*j + 2/17*j**2.
2*(j - 6)*(j + 5)/17
Let t(a) be the second derivative of -26/3*a**3 - 1/6*a**4 + 2 + a - 169*a**2. Solve t(i) = 0.
-13
Determine f, given that -25/4*f**3 + 0 - 3/4*f**5 + 7*f + 85/4*f**2 - 85/4*f**4 = 0.
-28, -1, -1/3, 0, 1
Let o(l) be the second derivative of 37/100*l**6 - 3/35*l**7 + 103/100*l**5 + 8/5*l**2 + 2/3*l**3 + 2 - 77/30*l**4 - 21*l. Let o(y) = 0. What is y?
-2, -1/4, 2/3, 4
Let z(y) be the third derivative of -1/2*y**5 - 44*y**2 + 1/3*y**3 + 0 + 7/6*y**4 + 0*y. Factor z(j).
-2*(j - 1)*(15*j + 1)
Suppose 9*j - 146 = 106. Factor w**2 + 77 + 80 + 62*w + 776 + j.
(w + 31)**2
Let u(o) be the first derivative of 0*o**2 - 9/2*o**3 - 68 - 1/36*o**6 - 21/8*o**4 + 0*o + 17/30*o**5. Factor u(t).
-t**2*(t - 9)**2*(t + 1)/6
Suppose -1724 = 193*a - 190*a + s, -3*a - 1730 = 4*s. Let z = 1730/3 + a. Factor -2/3*i**2 - z*i - 2.
-2*(i + 1)*(i + 3)/3
Factor 112*g**2 + 60*g**3 - 4*g**4 - 288 + 72*g**2 - 88*g**2 + 55*g**2 + 65*g**2 + 16*g.
-4*(g - 18)*(g - 1)*(g + 2)**2
Let u(f) = -4*f**2 - 113*f - 132. Let l be u(-27). Let h(q) be the second derivative of -5/132*q**4 + 0 - 1/220*q**5 + 0*q**l + 0*q**2 - 44*q. Factor h(x).
-x**2*(x + 5)/11
Let j(f) = -3*f**2 - f - 3. Let o(y) = 14*y**2 + 1433*y + 102254. Let r(g) = 3*j(g) + o(g). Let r(z) = 0. What is z?
-143
Let a(n) be the first derivative of 0*n + 102 - 5/2*n**2 + 5/16*n**4 - n**5 + 20/3*n**3. Let a(u) = 0. What is u?
-2, 0, 1/4, 2
Factor 2/23*f**5 + 460800/23*f + 464642/23*f**3 - 1924/23*f**4 + 0 - 923520/23*f**2.
2*f*(f - 480)**2*(f - 1)**2/23
Let p(s) be the first derivative of 5*s**3/3 + 185*s**2 + 2040*s + 2739. Factor p(c).
5*(c + 6)*(c + 68)
Let i(f) = 2*f**2 + 55*f + 35. Let r be i(-27). Suppose 26*a = 6*a - r*a. Solve -3*d**4 + 3*d**2 + 0 + 27/2*d**5 + a*d - 27/2*d**3 = 0.
-1, 0, 2/9, 1
Suppose 3050 = 825*l + 575. Determine k, given that -3/2*k**5 + 3*k**4 + 0 + 6*k - 12*k**2 + 9/2*k**l = 0.
-2, 0, 1, 2
Factor 133/4*v - 1/4*v**2 + 715/2.
-(v - 143)*(v + 10)/4
Let w(n) be the third derivative of -2*n**7/105 - 13*n**6/30 - 58*n**5/15 - 18*n**4 - 48*n**3 - 321*n**2. Factor w(u).
-4*(u + 2)**2*(u + 3)*(u + 6)
Let w(n) be the third derivative of -n**6/180 + 13*n**5/90 - 209*n**4/144 + 121*n**3/18 + 105*n**2 + 3. Factor w(r).
-(r - 2)*(2*r - 11)**2/6
Let p be (-68)/(-279) + (-2180)/101370. Factor 2/9*b**4 - p*b**2 + 2/3*b + 0 - 2/3*b**3.
2*b*(b - 3)*(b - 1)*(b + 1)/9
Factor -101/6*m**4 - 1607/3*m**3 - 231125/6 - 17155/3*m**2 - 1/6*m**5 - 149425/6*m.
-(m + 5)**3*(m + 43)**2/6
Let j(h) be the second derivative of h**4/6 - 130*h**3/3 + 1779*h. Factor j(i).
2*i*(i - 130)
Let h = -11938 + 2089141/175. Let o = h + 309/175. Factor 9/7*r**2 - o - 3/7*r**3 + 0*r.
-3*(r - 2)**2*(r + 1)/7
Let u(d) = -d**2 + 27*d + 29. Let i be u(28). Let x(l) = 3*l**4 - 12*l**3 - 6*l**2 + 7*l - 1. Let h(n) = n**3 + n + 1. Let f(r) = i*x(r) + h(r). Factor f(v).
v*(v - 4)*(v + 1)*(3*v - 2)
Let h(n) be the third derivative of n**7/336 - n**6/18 + 7*n**5/48 - 161*n**3/6 + 71*n**2. Let j(v) be the first derivative of h(v). Solve j(c) = 0.
0, 1, 7
Suppose 0 = -2*q + 14*v - 18*v + 82, -2*v = 6. Factor -6*g - 6 - 12 + q + g**2 - 14 - 10.
(g - 5)*(g - 1)
Let s = -1285 + 1285. Suppose 210 = 5*j - 2*n, -j + 2*n + 34 + 8 = s. Determine y so that 129/4*y**2 + 3/4 + j*y**4 - 219/4*y**3 - 12*y**5 - 33/4*y = 0.
1/4, 1
Let g(w) be the first derivative of -1/8*w**4 + 2/3*w**3 + 3*w - 7 + 11/4*w**2. Find z such that g(z) = 0.
-1, 6
Suppose -15*b = -n - 17*b + 250, -6*n + 1533 = b. Factor -84*p**2 + n - 160*p - 1/2*p**4 - 23/2*p**3.
-(p - 1)*(p + 8)**3/2
Suppose -112*v - 97 = 178*v - 616 - 641. Find h, given that -74/7*h**3 + 176/7*h**2 + 8*h + 0 - 2*h**v = 0.
-7, -2/7, 0, 2
Let b(g) be the second derivative of g**6/180 - g**5/10 + 3*g**4/4 + 15*g**3/2 - 73*g. Let j(q) be the second derivative of b(q). Factor j(i).
2*(i - 3)**2
Let n = -906632/11 - -82422. Factor n*p + 2/11*p**2 - 12/11.
2*(p - 1)*(p + 6)/11
Let l(v) be the third derivative of 0 + 99*v**2 + 0*v - 1/300*v**6 + 7/60*v**4 + 0*v**5 - 2/5*v**3. Find p, given that l(p) = 0.
-3, 1, 2
Suppose -3*i + 7 = -2*u, 7*u = 2*u - 2*i + 30. What is g in -237*g**4 + u - 10*g + 10*g**3 + 229*g**4 - 2*g**3 + 2*g**5 + 4*g**2 = 0?
-1, 1, 2
Suppose 3*q = 39*b - 37*b - 3, 3*b = 3*q + 9. Factor 19/3 - 1/3*u**2 - b*u.
-(u - 1)*(u + 19)/3
Determine l, given that -3/7*l**2 + 93/7*l - 93/7*l**3 + 3/7*l**4 + 0 = 0.
-1, 0, 1, 31
Suppose -2*a = 0, 5*a + 19 = 4*v - 5. Let u be 6/(-9)*v/(-4). Solve -b - u - 1/4*b**2 = 0 for b.
-2
Let c(q) = 21*q**2 + 761*q - 1596. Let g(o) = -30*o**2 - 1144*o + 2394. Let s(r) = 7*c(r) + 5*g(r). Solve s(v) = 0.
-133, 2
Suppose -27 = 9*r - 54. Factor -r*i**2 + 15 + 2*i**2 - 18*i + 4*i**2.
3*(i - 5)*(i - 1)
Let c be (876/(-72) + 13)/(40/(7 - -1)). Let p = -414 + 2491/6. Suppose -3*k + p*k**3 + 1/2*k**4 - c*k**5 + 0 - 5/2*k**2 = 0. What is k?
-2, -1, 0, 3
Let a(k) be the third derivative of -k**8/1176 - 4*k**7/245 - 4*k**6/35 - 8*k**5/21 - 4*k**4/7 - 594*k**2. Find n such that a(n) = 0.
-6, -2, 0
Solve -524/19*s**2 - 30/19*s**3 + 2/19*s**4 + 1872/19 - 1320/19*s = 0 for s.
-6, 1, 26
Suppose 49*j = -54*j. Let h(b) be the third derivative of -11*b**2 + 0*b**7 + 0*b + j*b**3 + 5/96*b**4 + 0*b**5 + 0 + 5/1344*b**8 - 1/48*b**6. Solve h(d) = 0.
-1, 0, 1
Let n(r) be the third derivative of r**5/600 - 41*r**4/240 - 3*r**3 - 19*r**2 - 29. Factor n(j).
(j - 45)*(j 