4. Let t(d) = 0. What is d?
-59, 1/8
Let b = 1052/5275 + 3/5275. Find o, given that -b*o**3 + 0 + 0*o + 1/5*o**2 = 0.
0, 1
Let r(l) be the third derivative of 10*l**3 + 1/3*l**4 - 106 + l**2 - 1/15*l**5 + 0*l. Determine h so that r(h) = 0.
-3, 5
Suppose 0 = -2*o + 3*p + p + 28, 4*p + 76 = 4*o. Suppose 100*d + 28*d**2 + o*d**2 - 500 - 57*d**2 = 0. Calculate d.
10
Suppose 0 = 5*u + 6*x - 11*x, 3*u + 4*x - 14 = 0. Suppose u*y = -5*g + 2, 15*g = 17*g - 2*y - 12. Factor -9/4*c**g - 3*c + 0 + 3/4*c**3.
3*c*(c - 4)*(c + 1)/4
Let t(q) be the third derivative of 0 + 1/70*q**7 + 0*q**3 + 7*q**2 - 1/20*q**5 - 8*q + 1/40*q**6 - 1/8*q**4. Determine p, given that t(p) = 0.
-1, 0, 1
Let r be 7 + 17/((-26418)/10890). Let n = r + 1042/777. Let n - 2/3*w**3 + 2/3*w - 4/3*w**2 = 0. Calculate w.
-2, -1, 1
Solve -63/2*j - 16 + 1/2*j**3 - 15*j**2 = 0.
-1, 32
Let t(z) be the second derivative of z**10/80640 - z**8/17920 - 29*z**4/12 - 73*z. Let m(b) be the third derivative of t(b). Let m(h) = 0. What is h?
-1, 0, 1
Let y(z) = -20*z**3 - 1211*z**2 - 193415*z - 569184. Let x(c) = -9*c**3 - 607*c**2 - 96708*c - 284592. Let g(m) = 18*x(m) - 8*y(m). Factor g(u).
-2*(u + 3)*(u + 308)**2
Let k(h) be the first derivative of 1/4*h**5 - 10/3*h**3 + 10*h**2 - 1/24*h**6 - 23*h - 37 + 0*h**4. Let f(z) be the first derivative of k(z). Factor f(s).
-5*(s - 2)**3*(s + 2)/4
Let t(j) = j**4 - j**3 - j**2 + 1. Let g(s) = 3*s**4 + 9 + s**2 - 1176*s - 8*s**3 + s**3 + 1186*s. Let b(a) = g(a) - 5*t(a). What is p in b(p) = 0?
-1, 2
Factor -211/4 - 53*i - 1/4*i**2.
-(i + 1)*(i + 211)/4
Let w = -8 - -12. Suppose 3*t - t + 3*z = -5, w*t = -4*z. Let 20*n**t - 4*n**5 + 5*n**4 - 9*n**4 = 0. Calculate n.
0, 1/4
Let v(k) be the third derivative of -k**7/945 + 4*k**6/135 - 29*k**5/270 + 7*k**4/54 - 1615*k**2 - 2. Factor v(a).
-2*a*(a - 14)*(a - 1)**2/9
Suppose 67*w = 73*w - 60. Suppose 5*f + 5*h + w = 0, -2*h = f - 5 + 11. Factor v - 1/3*v**f - 2/3.
-(v - 2)*(v - 1)/3
Let d(g) = 2*g**3 + 19*g**2 + 4*g + 5. Let c be d(-9). Suppose -k - k + 20 = 0. Factor -8*x**3 - 45*x - c*x**2 - 8*x**3 + x**3 - k.
-5*(x + 1)*(x + 2)*(3*x + 1)
Let i(o) = -o + 3. Let p be i(-2). Suppose -p = -4*s + 3. Solve -1 - 3 - 19*j**s + 19*j**2 + 2*j**3 - 6*j = 0 for j.
-1, 2
Let -117*h**5 + 61*h**5 - 2746860*h**2 + 65*h**5 - 23035*h**3 - 169416 - 1872720*h - 145016 + 146660*h**3 - 1830*h**4 = 0. What is h?
-1/3, 68
Let v(q) be the third derivative of q**6/900 + q**5/45 - q**4/180 - 2*q**3/9 + 3747*q**2. Find n, given that v(n) = 0.
-10, -1, 1
Let y(s) be the first derivative of 0*s + 3*s**3 - 14 + 0*s**2 + 1/1080*s**6 + 1/72*s**5 + 0*s**4. Let g(u) be the third derivative of y(u). Factor g(i).
i*(i + 5)/3
Determine i, given that 4*i + 0 + 2/3*i**3 - 10/3*i**2 = 0.
0, 2, 3
Let i be (-3527)/4 - 48/(-12). Let t = -864 - i. Determine h, given that 0 - 65/4*h**3 - 5/2*h - t*h**2 - 5*h**4 = 0.
-2, -1, -1/4, 0
Let g(w) be the first derivative of 5*w**3/3 - 9695*w**2 + 18798605*w - 565. Factor g(a).
5*(a - 1939)**2
Factor -153*n**4 - 3523*n**2 + 280*n**2 - 51*n - 279*n**4 - 6576*n - 1233*n**3 + 4185*n**3.
-3*n*(n + 1)*(12*n - 47)**2
Let x = 38 + -38. Suppose -q + 4 = -x*q. Solve -4*n - 5*n**2 + 3*n**3 + 2*n**q + 0*n**4 + n**3 + 3*n**2 = 0.
-2, -1, 0, 1
Factor 3/7*q**2 - 36/7*q - 12.
3*(q - 14)*(q + 2)/7
Let r(n) be the third derivative of -n**8/1680 - n**7/210 + 77*n**6/600 + 147*n**5/100 + 387*n**2. Factor r(j).
-j**2*(j - 9)*(j + 7)**2/5
Let l(p) be the second derivative of -p**5/15 - 34*p**4/9 - 728*p**3/9 - 784*p**2 + 2632*p. Factor l(n).
-4*(n + 6)*(n + 14)**2/3
Let c(m) be the third derivative of -m**5/15 + 19*m**4/4 - 785*m**3/3 - 60*m**2. Let w(y) = 5*y**2 - 115*y + 1571. Let l(f) = 6*c(f) + 4*w(f). Factor l(z).
-4*(z - 28)**2
Let o(w) be the second derivative of w**4/6 + 6*w**3 - 448*w**2 - 743*w. Factor o(j).
2*(j - 14)*(j + 32)
Let g(s) be the second derivative of s**6/105 - s**5/35 - 2*s**4/7 + 40*s**3/21 - 32*s**2/7 + 2958*s. Determine h so that g(h) = 0.
-4, 2
Let b(i) = 99*i - 280. Let m be b(3). Let w be m*(-6)/6*-1. Solve w*y**3 + 1/2*y**5 - 11/2*y**4 - 80*y + 4*y**2 + 64 = 0.
-2, 1, 4
Let a(q) be the third derivative of 0*q - 1/168*q**8 - 9/10*q**5 - 5/21*q**7 + 116*q**2 + 0*q**3 + 53/60*q**6 + 0*q**4 + 0. Factor a(o).
-2*o**2*(o - 1)**2*(o + 27)
Let g(r) = -r**3 + 8*r**2 - 7*r + 15. Let d be g(7). Let h = d - 8. Let -2 - 1 - 5*s**2 - 17 - h*s - 13*s = 0. Calculate s.
-2
Let p(q) be the third derivative of -q**6/720 - 3*q**5/80 - 7*q**4/24 - 11*q**3/2 + 4*q**2 + 3*q. Let u(k) be the first derivative of p(k). Factor u(r).
-(r + 2)*(r + 7)/2
Let o(r) be the first derivative of 1/8*r**3 - 98 - 9/4*r - 15/16*r**2. Factor o(b).
3*(b - 6)*(b + 1)/8
Let n(k) be the third derivative of 11*k + 0*k**4 + 4*k**2 + 22/105*k**7 + 4/15*k**5 + 0 + 0*k**3 + 19/45*k**6 + 1/56*k**8. What is p in n(p) = 0?
-6, -2/3, 0
Suppose 8*f + 19 = 11*f + 5*j, 10 = 5*j. Let q(u) be the third derivative of 1/80*u**6 - 1/4*u**4 + 16*u**2 + 0*u - 2*u**f + 0 + 1/20*u**5. Factor q(o).
3*(o - 2)*(o + 2)**2/2
Let n(m) be the second derivative of 1201*m**5/5 + 801*m**4 + 802*m**3 + 2*m**2 - 13557*m. Let n(h) = 0. What is h?
-1, -1/1201
Let y(i) = i**3 + 4*i**2 + 10*i + 74. Let r be y(-5). Let a be (85/25 + r)*(-1)/(-4). Factor 0 + a*f**5 + 3/5*f**4 - 3/5*f**3 - 3/5*f**2 + 0*f.
3*f**2*(f - 1)*(f + 1)**2/5
Let o be ((-12)/(-279)*-31)/((-56)/30). Factor 4/7*z + 1/7 - o*z**2.
-(z - 1)*(5*z + 1)/7
What is v in 2/9*v**4 + 0 - 640/9*v + 316/9*v**2 + 322/9*v**3 = 0?
-160, -2, 0, 1
Let n = -164 + 216. Let r be -5 + 10/5 - n/(-16). Factor -1/2 + 1/4*l**2 - r*l.
(l - 2)*(l + 1)/4
Let w = 393473/7 - 56207. What is u in -w + 2/7*u**2 - 8/7*u = 0?
-2, 6
Suppose -84*k = -86*k + 80. Let w(m) be the first derivative of -56*m**3 + 33 - 3*m + 30*m**2 + k*m**3 - 2*m - 44*m**3. Solve w(b) = 0 for b.
1/6
Let g(m) be the first derivative of -m**4/26 - 18*m**3/13 - 15*m**2 - 26*m + 704. Find d such that g(d) = 0.
-13, -1
Let f = -6 - -9. Suppose f = -y + 5. Factor -31 + 9 + 3*c**y + 5*c + 11 + 13.
(c + 1)*(3*c + 2)
Let o(h) be the first derivative of -2*h**5/5 - 15*h**4/2 - 10*h**3 + 155*h**2 + 312*h - 2771. Solve o(p) = 0.
-13, -4, -1, 3
Let f be 81 + (76 - 12587/123). Factor -f*a - 1/3*a**2 - 6724/3.
-(a + 82)**2/3
Let n(q) = 18*q**2 + 19454*q + 11790363. Let b(m) = -28*m**2 - 29184*m - 17685544. Let k(d) = 5*b(d) + 8*n(d). Let k(u) = 0. What is u?
-1214
Solve 0 - 18/5*j**4 - 216/5*j**2 - 108/5*j**3 - 1/5*j**5 + 0*j = 0.
-6, 0
Let x(b) be the first derivative of -b**6 + 58*b**5/5 + 211*b**4/2 + 830*b**3/3 + 296*b**2 + 120*b + 777. Let x(i) = 0. Calculate i.
-2, -1, -1/3, 15
Let 1/3*r**3 + 17199 - 113/3*r**2 + 777*r = 0. Calculate r.
-13, 63
What is o in -200/3 + 10/3*o**3 + 35*o**2 - 110/3*o - 5/3*o**4 = 0?
-4, -1, 2, 5
Let q(n) be the third derivative of -n**8/336 - 41*n**7/210 - 77*n**6/15 - 208*n**5/3 - 1472*n**4/3 - 4096*n**3/3 - 6986*n**2. Find s such that q(s) = 0.
-16, -8, -1
Let n(o) be the first derivative of -o**5/4 - 25*o**4/12 - 10*o**3/3 + 24*o - 75. Let d(v) be the first derivative of n(v). Factor d(r).
-5*r*(r + 1)*(r + 4)
Let v be -12 + (1 - (-1095)/45) + -13. Determine y, given that v*y**3 - 4/3*y**2 - 16/3*y + 64/3 = 0.
-4, 4
Let t(l) = -l**3 + 3*l**2 + 55*l - 289. Let f(p) = -p**2 + 4*p + 1. Let j(b) = -15*f(b) + 3*t(b). Determine k so that j(k) = 0.
-6, 7
Let v(f) be the first derivative of 2*f**3/3 + f**2/2 + f + 229. Let n(l) = -11*l**2 - 3*l - 16. Let w(u) = n(u) + 6*v(u). Determine q so that w(q) = 0.
-5, 2
Determine p so that 128/7*p + 1/7*p**3 + 20/7*p**2 + 256/7 = 0.
-8, -4
Let i(j) be the second derivative of -1/2*j**4 + 0*j**2 - 3/40*j**5 + 7 - 3/4*j**3 + j. Determine l, given that i(l) = 0.
-3, -1, 0
Suppose 98 = 7*f + 84. Solve -285*i**2 - 333*i**f - 16753*i - 3*i**3 - 222264 + 877*i + 240*i**2 = 0 for i.
-42
Let v(o) = -28*o**3 + 27*o**2 + o + 17. Let f(k) be the first derivative of 14 - 6*k + 9/4*k**4 + 0*k**2 - 3*k**3. Let s(w) = -17*f(w) - 6*v(w). Factor s(i).
3*i*(i - 1)*(5*i + 2)
Let t(r) be the second derivative of 27*r**6/10 - 4383*r**5/5 + 238141*r**4/3 - 70128*r**3 + 23328*r**2 - 934*r. Factor t(l).
(l - 108)**2*(9*l - 2)**2
Let y(p) be the second derivative of -13/10*p**6 + 0 - 375/2*p**2 + 67*p + 5/2*p**4 - 69/10*p**5 + 175/2*p**3