 1/10*o**5 + 35/3*o**3 + 13/6*o**4 + 0 + 25*o. Solve m(r) = 0.
-7, 1
Let g(u) be the third derivative of u**7/15120 + u**6/432 + u**5/80 + u**4/24 - 7*u**3/2 - 5*u**2 - 7*u. Let q(a) be the second derivative of g(a). Factor q(o).
(o + 1)*(o + 9)/6
Let d be (-14 - -14) + 6 + 91/(-49) + -3. Factor d - 8/7*r - 6/7*r**2 + 2/7*r**4 + 4/7*r**3.
2*(r - 1)**2*(r + 2)**2/7
Suppose -3*b - 2*b = 5*h - 45, 2*h - 33 = -5*b. Factor h*f**2 - 12*f - 7*f - f - 96.
4*(f - 8)*(f + 3)
Let h = -8261 + 11796. Determine l, given that -3*l**3 - h*l + 24*l**2 + 18 + 3496*l + 0*l**3 = 0.
1, 6
Let n(q) be the third derivative of q**7/210 + 41*q**6/120 + 133*q**5/20 + 931*q**4/24 - 686*q**3/3 - 2*q**2 + 6. Factor n(k).
(k - 1)*(k + 7)**2*(k + 28)
Let x(w) be the second derivative of -w**4/18 - 3*w**3 - 170*w**2/3 - 413*w. Factor x(z).
-2*(z + 10)*(z + 17)/3
Let c(j) be the first derivative of j**3/6 - 5*j**2 + 19*j/2 + 1780. Factor c(f).
(f - 19)*(f - 1)/2
Let l(f) be the third derivative of -f**8/2240 - 61*f**7/5040 + 7*f**6/360 - 3*f**5/20 + 58*f**2. Let b(a) be the third derivative of l(a). Factor b(g).
-(g + 7)*(9*g - 2)
Determine h so that 81/4 + 3/8*h**2 - 63/8*h = 0.
3, 18
Let i(s) be the second derivative of -s**6/150 + 11*s**5/25 + 24*s**4/5 + 296*s**3/15 + 40*s**2 - 4*s - 92. Factor i(q).
-(q - 50)*(q + 2)**3/5
Suppose -247*n - n**3 + 156*n**2 - 1666 - 1598 - 3*n**3 - 281*n - 56*n = 0. Calculate n.
-3, 8, 34
Let u be 0/(-5 - 0 - 165/110*(-16)/3). Suppose 4*v - 3*h + 22 = 7, -4*h + 20 = v. Solve -8/23*t**4 + u*t + 2/23*t**5 + 0*t**2 + 6/23*t**3 + v = 0.
0, 1, 3
What is v in 76*v**3 - 665*v - 25*v**3 + 216*v**2 + 464*v**2 - 1350 - 26*v**3 - 30*v**3 = 0?
-1, 2, 135
Let v = -7138 - -21430/3. Let h(f) be the second derivative of 2/15*f**6 - v*f**3 - f**4 + 20*f + 0 - 8*f**2 + 2/5*f**5. Let h(p) = 0. Calculate p.
-2, -1, 2
Let p(j) = j**3 + 42*j**2 + 80*j + 3. Let w = -470 + 430. Let q be p(w). Solve -12/11*l - 6/11*l**q - 18/11*l**2 + 0 = 0.
-2, -1, 0
Determine m so that 4510/9*m**2 - 50/9*m**3 + 178 - 1786/3*m = 0.
3/5, 89
Factor 15*q**5 + 23196*q**3 + 5*q**5 - 76*q**4 - 23148*q**3.
4*q**3*(q - 3)*(5*q - 4)
Let m(r) be the first derivative of 190 + 35/3*r**3 + 30*r**2 + 0*r + 5/4*r**4. Suppose m(t) = 0. Calculate t.
-4, -3, 0
Let o(u) = 4*u**4 - 142*u**3 - 746*u**2 - 912*u - 18. Let n(t) = -9*t**4 + 284*t**3 + 1491*t**2 + 1824*t + 45. Let x(q) = 2*n(q) + 5*o(q). Factor x(i).
2*i*(i - 76)*(i + 2)*(i + 3)
Let b(i) be the third derivative of i**8/1008 + 2*i**7/315 + i**6/90 - 2*i**2 + 300. Factor b(c).
c**3*(c + 2)**2/3
Let w(f) be the first derivative of -129/32*f**4 - 21/2*f**2 + 152 - 73/8*f**3 - 1/16*f**6 - 33/40*f**5 - 6*f. Factor w(t).
-3*(t + 1)**3*(t + 4)**2/8
Let y(w) be the third derivative of w**6/1020 + 7*w**5/255 + 25*w**4/204 + 4*w**3/17 + 7*w**2 - 100. Let y(z) = 0. What is z?
-12, -1
Let o(g) be the second derivative of -g**7/1260 + g**6/180 - g**5/60 + 59*g**4/12 - 35*g - 2. Let n(z) be the third derivative of o(z). What is v in n(v) = 0?
1
Suppose -5*q - 3 = 4*q - 3. Let n(o) be the first derivative of 1/2*o**4 - 8 + q*o + 2/3*o**3 - 2*o**2. Determine w, given that n(w) = 0.
-2, 0, 1
Factor 484 + 18*y + 73*y + 249*y - 762 + 4*y**2 - 778.
4*(y - 3)*(y + 88)
Let w(u) = 7*u**2 + 2068*u + 357075. Let t(g) = -2*g**2 + g. Let c(r) = -2*t(r) - w(r). Suppose c(f) = 0. What is f?
-345
Let d be -6 - (6/(-10) + (-1080)/75). Suppose 6 = 3*l - 6. Solve 5*y**4 - d*y**3 + 8*y**4 - 10*y**l = 0 for y.
0, 3
Let b(s) = -s + 3. Let c be b(-2). Let f be (-10)/(-3)*(2 + (-42)/(-15)). Let -f*q**4 - 6*q**5 - 24*q**3 - 3*q - q**c - 16*q**2 - q + 3*q**5 = 0. What is q?
-1, 0
Let n(r) be the second derivative of r**6/480 + 3*r**5/80 - r**4/2 + 13*r**3/6 - 81*r**2/2 + 2*r - 57. Let k(m) be the first derivative of n(m). Factor k(g).
(g - 2)**2*(g + 13)/4
Let s(u) be the third derivative of -1/30*u**6 - 4/3*u**3 + 0*u**5 + 1/2*u**4 - u + 10*u**2 + 0. Determine v, given that s(v) = 0.
-2, 1
Suppose 0 = -181*q + 184*q - 5*m - 48, -32 = -4*q - 4*m. Let j(a) be the first derivative of 4/3*a + 0*a**2 - 1/9*a**3 - q. Let j(o) = 0. Calculate o.
-2, 2
Suppose 9659*u**2 - 24059 - 39133*u - 27961 + 113593*u - 15933*u**2 - 20371*u**2 = 0. What is u?
102/73
Let p(w) be the third derivative of w**5/450 + 37*w**4/10 + 12321*w**3/5 + 965*w**2. Factor p(o).
2*(o + 333)**2/15
Let j(q) = 2*q**4 + 2*q**2 + q. Let a(d) = 13*d**4 - 38*d**3 - 383*d**2 - 677*d - 324. Let u(v) = 3*a(v) - 21*j(v). Determine l, given that u(l) = 0.
-18, -1
Let w(a) be the first derivative of -110 + 2/65*a**5 + 2/13*a**3 + 1/13*a**2 + 3/26*a**4 + 0*a. Suppose w(h) = 0. What is h?
-1, 0
Suppose 0 = -5*g + 8 + 7. Determine h, given that 36*h**4 - 16*h**g - 18*h**2 + 122*h**5 + 49*h**3 - 137*h**5 = 0.
-1, 0, 2/5, 3
Let z = -57619/2 + 28822. Let n(w) be the first derivative of -36 + z*w**2 + 5/4*w**4 + 20/3*w**3 + 10*w. Factor n(o).
5*(o + 1)**2*(o + 2)
Let a(w) be the first derivative of -5292*w**5/5 + 7560*w**4 + 2976*w**3 + 3008*w**2/7 + 192*w/7 + 2414. What is p in a(p) = 0?
-2/21, 6
Suppose -8*m = 7325 - 7349. Let -40/9*r**m - 64/9 - 160/9*r - 44/3*r**2 - 4/9*r**4 = 0. Calculate r.
-4, -1
Let l(v) be the second derivative of v**4/84 + 8*v**3/21 - 18*v**2/7 - 28*v - 20. Let l(w) = 0. Calculate w.
-18, 2
Suppose -6*k + k = -240. Factor 6*t**4 + 10*t**4 - 54*t**2 + k*t + 24*t**3 - 19*t**4 - 15.
-3*(t - 5)*(t - 1)**3
Let k(c) be the first derivative of 0*c - 78 + 1/6*c**6 - 36*c**2 - 11/5*c**5 + 11/2*c**4 + 20*c**3. Factor k(v).
v*(v - 6)**2*(v - 1)*(v + 2)
Let p(s) = 145*s**2 - 7930*s + 1584055. Let w(z) = -77*z**2 + 3964*z - 792028. Let h(j) = -8*p(j) - 15*w(j). Find g, given that h(g) = 0.
398
Let r(y) = 3*y**2 - 78*y - 85. Let q(h) = -5*h**2 + 155*h + 170. Suppose -i - 12 = 5*f - 3*f, -3*i = 6. Let b(u) = f*r(u) - 2*q(u). Find w such that b(w) = 0.
-1, 17
Let x(z) be the first derivative of -5*z**4/24 - 40*z**3 - 2880*z**2 + 63*z - 141. Let b(c) be the first derivative of x(c). Factor b(n).
-5*(n + 48)**2/2
Factor 60*h + 0 - 28/3*h**2 + 1/3*h**3.
h*(h - 18)*(h - 10)/3
Let g be 15/(-5) - 51/(-3). Suppose -5*v + g = -21. Factor -16*a + v - 4*a**3 + 0*a - 16*a**2 - 7.
-4*a*(a + 2)**2
Let h(u) be the third derivative of u**7/15120 + 23*u**6/4320 - u**5/30 - 4*u**4/3 + 167*u**2. Let n(z) be the second derivative of h(z). Factor n(p).
(p - 1)*(p + 24)/6
Let -476/3*w**2 + 159 - 1/3*w**4 + 62/3*w - 62/3*w**3 = 0. What is w?
-53, -9, -1, 1
Suppose -2*o = 14*i - 52, i + 60*o - 8 = 62*o. Suppose 0*y**2 + 0*y + 0 - 2/7*y**i - 8/7*y**3 = 0. Calculate y.
-4, 0
Suppose 26 = 2*m - 4*b, -3*m + 5*b - 25 = -59. What is o in 2/3*o - 4/3*o**2 + 2/3*o**m + 0 = 0?
0, 1
Solve 1/5*h**4 - 6272/5 - 48/5*h**3 - 947/5*h**2 - 966*h = 0 for h.
-7, -2, 64
Suppose -2 = -k + 2*k, -11 = -3*l - 5*k. Suppose s + 18 = l*s. Factor -84 + 12*u**2 + 15*u**s + 84 + 3*u**4 + 12*u + 12*u**2.
3*u*(u + 1)*(u + 2)**2
Factor -150*j - 797 + 5 + 6*j - 958 + 19*j + 5*j**2.
5*(j - 35)*(j + 10)
Let w = -8402492/142747 - 21/25954. Let i = 664/11 + w. Solve 0 + 1/4*s + i*s**2 + 7/4*s**5 - 3/2*s**4 - 2*s**3 = 0 for s.
-1, -1/7, 0, 1
Suppose 0*w - 2/3*w**5 + 2744/3*w**2 - 14*w**4 + 0*w**3 + 0 = 0. Calculate w.
-14, 0, 7
Suppose -16*d**2 + 44/3*d + 4/9*d**3 + 280/9 = 0. Calculate d.
-1, 2, 35
Let t(s) be the second derivative of 5/8*s**4 + 125*s + 0 + 0*s**2 + 1/84*s**7 + 0*s**3 + 1/60*s**6 - 17/40*s**5. Solve t(o) = 0.
-5, 0, 1, 3
Suppose -11*u - 296 = -19*u. Solve -31*a - 5 + u*a + 9 + 2*a**2 = 0.
-2, -1
Let n(a) be the third derivative of a**5/60 + a**4/24 + 5*a**2 - 218*a. Suppose n(d) = 0. Calculate d.
-1, 0
Let x(g) be the second derivative of 2*g**7/21 - 8*g**6/15 - 6*g**5/5 + 4*g**4/3 + 10*g**3/3 + 1260*g. Let x(l) = 0. What is l?
-1, 0, 1, 5
Factor -271/6*d + 0 + 1/6*d**3 + 45*d**2.
d*(d - 1)*(d + 271)/6
Let y(h) be the third derivative of h**7/630 + 47*h**6/180 + 823*h**5/60 + 1507*h**4/9 + 4840*h**3/9 - 4400*h**2. Factor y(i).
(i + 1)*(i + 5)*(i + 44)**2/3
Let r(d) = -2*d**2 - d - 1. Let a(u) = 16*u**2 + 16*u. Suppose 33*h - 41*h = -8. Let q(x) = h*a(x) - 4*r(x). Let q(m) = 0. What is m?
-1/2, -1/3
Let v = -336875 + 337028. Factor -v*w - 867/5 + 99/5*w**2 - 3/5*w**3.
-3*(w - 17)**2*(w + 1)/5
Suppose -4*n + 13*n - 27 = 0. Find r, given that 7*r**n + 74*r + 112*r**2