/56 - 29*p**5/70 + 17*p**4/42 + 4*p**3/21 - 108*p**2. Find b, given that x(b) = 0.
-1, -2/21, 2/3
Let t(l) = -l**2 - l. Let s(r) = -7*r**2 + r + 10. Let c(n) = -s(n) - 2*t(n). Let p(i) = 4*i**2 - 4. Let q(b) = -3*c(b) + 7*p(b). Factor q(d).
(d - 2)*(d - 1)
Let g(l) be the third derivative of l**6/840 + l**5/70 - 5*l**4/56 - 17*l**3/6 - 31*l**2. Let x(b) be the first derivative of g(b). Find f, given that x(f) = 0.
-5, 1
Let h be (-4)/(-7)*(21 + (-273)/18). Let g(v) be the first derivative of 5/6*v**6 + 9 + h*v**3 - 5*v**4 - 10*v + 0*v**5 + 15/2*v**2. What is i in g(i) = 0?
-2, -1, 1
Let u(j) be the first derivative of 0*j - 6/5*j**2 + 8/15*j**3 - 27 + 1/5*j**4. Find l, given that u(l) = 0.
-3, 0, 1
Factor -5/4*r**3 - 35/2 - 25/4*r + 10*r**2.
-5*(r - 7)*(r - 2)*(r + 1)/4
Let p be (-25)/(-15) + -3 + (-26)/(-13). Find s, given that -p*s**3 + 2/3*s**2 + 0 - 2/3*s**4 + 2/3*s = 0.
-1, 0, 1
Let t(y) = 2*y**2 + y - 1. Let m(f) = -9*f**2 + 20*f - 19. Let s(i) = m(i) + 4*t(i). Factor s(p).
-(p - 23)*(p - 1)
Suppose 2*a + 4*n = -3*a + 30, 21 = 3*a + 3*n. Suppose -4*l = -a*l - 4. Let 8*t - 4*t + 4 + t**l - t + t = 0. Calculate t.
-2
Let u(b) be the second derivative of b**5/80 + 11*b**4/24 - b**3/24 - 11*b**2/4 + 133*b. Factor u(f).
(f - 1)*(f + 1)*(f + 22)/4
Let m(v) = v**2 - 2*v + 1. Let j be m(1). Suppose j = 4*z - w - 12, 2*z - 5*z + 5*w - 8 = 0. Solve -87*c**2 - 72*c - 8 - 9*c**3 + 108*c**z - 4 + 72*c**3 = 0.
-2/3, -1/4, 1
Let i(u) = -20*u + 180. Let t be i(9). Find a, given that 0 + 30/7*a**4 + t*a + 50/21*a**5 + 8/21*a**2 + 16/7*a**3 = 0.
-1, -2/5, 0
Suppose 3*i - 2*g = -i + 5708, 5*g = -10. Factor 4*m**5 - 2*m**5 + 1420*m**3 + 4*m**2 - i*m**3.
2*m**2*(m - 1)**2*(m + 2)
Let u(o) be the first derivative of o**6/36 + o**5/30 - o**4/6 - 2*o**3/9 + 132. Factor u(v).
v**2*(v - 2)*(v + 1)*(v + 2)/6
Let m(b) be the first derivative of -b**5/15 - b**4/24 + b**3/9 + b**2/12 + 31. Factor m(k).
-k*(k - 1)*(k + 1)*(2*k + 1)/6
Let k(u) be the third derivative of -7*u**6/60 + u**5 - 29*u**4/12 + 2*u**3 + u**2. Find q, given that k(q) = 0.
2/7, 1, 3
Let z(l) be the second derivative of 3*l**5/20 - 7*l**4/4 - l**3/2 + 21*l**2/2 - 27*l. Factor z(y).
3*(y - 7)*(y - 1)*(y + 1)
Let h = 6 + 11. Suppose -h = -3*r + 4*x, 0*x = 3*r + 5*x + 1. What is m in -12*m**2 - r*m**2 - 12 + 3*m**3 + 0*m**3 + 15*m + 9*m = 0?
1, 2
Let a(s) be the second derivative of 0 + 5/6*s**3 - 1/20*s**5 + 0*s**2 - 24*s + 1/3*s**4. Factor a(h).
-h*(h - 5)*(h + 1)
Let 20/3*o**2 + 2/3 - 10/3*o - 20/3*o**3 + 10/3*o**4 - 2/3*o**5 = 0. Calculate o.
1
Let s(f) be the second derivative of -3/80*f**5 + f**2 + 7/24*f**4 + 0 - 5/6*f**3 - 11*f. Suppose s(a) = 0. Calculate a.
2/3, 2
Let m be 3 + 97 - 3 - -2. Suppose -3*c - 4*i + 68 = 0, 3*c + c - m = 3*i. Factor -4 + w**5 + 4 + w - 26*w**3 + c*w**3.
w*(w - 1)**2*(w + 1)**2
Suppose 12 = 2*z - 5*f + 38, 4*z + 68 = 2*f. Let a be 4*(-3)/z*(-6)/(-8). Find n such that 0 + n**4 - n**2 - 1/2*n**5 + 0*n + a*n**3 = 0.
-1, 0, 1, 2
Let f(n) = 4*n + 3. Let u be f(-1). Let t be 33/6 + (3 - (u - -8)). Solve -3 - 9/2*z - t*z**2 = 0 for z.
-2, -1
Let u(v) = 11*v**4 + 6*v**3 - 135*v**2 + 264*v - 6. Let h(a) = 10*a**4 + 5*a**3 - 135*a**2 + 265*a - 5. Let j(d) = -6*h(d) + 5*u(d). Factor j(z).
-5*z*(z - 3)**2*(z + 6)
Let m(o) be the second derivative of 3*o**5/5 - 19*o**4/3 + 128*o**3/9 - 40*o**2/3 + 77*o. Find j, given that m(j) = 0.
2/3, 5
Suppose -23 = -4*j + 1. Let q = 10 - j. Factor 2*s**5 + 6*s**4 - 16*s**3 - 2*s**q + 18*s**3.
2*s**3*(s + 1)**2
Let r = -8208 + 8210. Factor 0 - 1/2*d + d**3 - 7/4*d**r.
d*(d - 2)*(4*d + 1)/4
Solve 147/8*j + 3/8*j**2 + 141/4 = 0.
-47, -2
Let p = -221771879/201 - -1103345. Let a = p - -1/67. Find o such that 40/3*o**2 - a*o**3 - 6 - 17*o = 0.
-2/7, 3
Let f = 22 + -20. Suppose -f = -7*t + 6*t. Let 2*v**3 - v**3 + 3*v - t*v - 2*v = 0. What is v?
-1, 0, 1
Factor 5/2*v**2 - 1/2*v**4 - 3*v + 0 + v**3.
-v*(v - 3)*(v - 1)*(v + 2)/2
Suppose 4*f - 3*z = 6 + 3, 4*f = -z - 3. Let v(m) be the first derivative of -4/9*m**3 + f*m - 4 + 1/3*m**4 + 0*m**2. Determine l so that v(l) = 0.
0, 1
Let k(v) be the third derivative of -v**6/60 - 91*v**5/30 + 185*v**4/12 - 31*v**3 + 68*v**2 - 3. Find w such that k(w) = 0.
-93, 1
Suppose -1 = -5*k + 3*o, o - 2*o = k - 5. Let q be (-2)/(-4)*k*(-6 - -6). Factor 0*n - 2/7*n**4 + q*n**3 - 2/7 + 4/7*n**2.
-2*(n - 1)**2*(n + 1)**2/7
Let x(v) be the first derivative of 5*v**4/8 + 65*v**3/2 - 5*v**2/4 - 195*v/2 + 150. Let x(g) = 0. Calculate g.
-39, -1, 1
Suppose 3*v + 6 = -0, x + 4 = -4*v. Let u(s) be the third derivative of 9*s**2 + 1/96*s**x + 0*s**3 + 0 + 1/480*s**6 + 0*s + 1/120*s**5. Factor u(k).
k*(k + 1)**2/4
Let o(i) be the first derivative of i**6/51 - 2*i**5/17 - i**4/17 + 20*i**3/51 + i**2/17 - 10*i/17 + 62. Determine h, given that o(h) = 0.
-1, 1, 5
Let i(t) be the second derivative of -t**6/540 + t**5/45 - t**4/12 + 4*t**3 - 6*t. Let y(f) be the second derivative of i(f). Let y(a) = 0. What is a?
1, 3
Let x = -2/515 + 208/515. Determine q so that -1/5*q**2 + x*q + 3/5 = 0.
-1, 3
Let v = 152 - 261. Let x = v - -109. Factor 0*b + x - 2/3*b**2 + b**4 - 1/3*b**3.
b**2*(b - 1)*(3*b + 2)/3
Let x(y) be the second derivative of 19*y**4/30 - y**3/3 + 202*y. Factor x(c).
2*c*(19*c - 5)/5
Let s = 113/4 + -783/28. Find z such that -3/7*z + 1/7*z**2 + s = 0.
1, 2
Let f(i) be the first derivative of -i**6/40 + 3*i**5/20 - i**4/4 + 13*i**2 + 15. Let y(l) be the second derivative of f(l). Factor y(u).
-3*u*(u - 2)*(u - 1)
Let r = 27 + -25. Let m(v) be the second derivative of 37/10*v**5 - 2*v**6 + 0 - 10/3*v**4 + 0*v**r + 3/7*v**7 + 4/3*v**3 - 6*v. Suppose m(j) = 0. What is j?
0, 2/3, 1
Let t(d) = d + 4. Let k be t(-9). Let m = -1 - k. Factor 4*c - 8*c**3 + m*c + 3*c**4 + 3*c**2 - 5*c - c.
c*(c - 2)*(c - 1)*(3*c + 1)
Let k = -5 - 9. Let m(c) = c**2 + 15*c + 16. Let r be m(k). Find o such that -1 - 3*o**3 + o**2 - 13*o**r - 12*o - o**3 - 3 = 0.
-1
Suppose -45 = -5*k - 2*h, -5*h + 46 - 1 = 5*k. Let x(v) be the first derivative of -4/13*v - 1/26*v**4 + 4/39*v**3 + 1/13*v**2 - k. Find l, given that x(l) = 0.
-1, 1, 2
Let v be (3 - 5)*10/(-4). Suppose -5*p - v*u + 15 = 0, 3*u - 2 + 17 = 5*p. Factor 5*q**2 - p*q - 2*q**2 + 0*q.
3*q*(q - 1)
Factor 26/7 + 24/7*t - 2/7*t**2.
-2*(t - 13)*(t + 1)/7
Let q be (14 + -14)/(9 + -17) + 0. Suppose q - 16/19*b - 34/19*b**2 - 2/19*b**4 - 20/19*b**3 = 0. What is b?
-8, -1, 0
Let i(z) be the second derivative of -3*z**7/14 - z**6/2 - 3*z**5/20 + z**4/4 + 87*z. Factor i(y).
-3*y**2*(y + 1)**2*(3*y - 1)
Let -17*b**3 - b**4 - 7*b**2 - 32*b - 55*b**2 - 4*b**2 - 32*b - 14*b**2 = 0. Calculate b.
-8, -1, 0
Let r be 1026/190 + 324/(-60). Solve 12/5*s + r - 2/5*s**2 = 0.
0, 6
Let a be (3 + 81/(-24))/(51/(-204)). Factor 9/2 - 15/2*v + a*v**2 + 3/2*v**3.
3*(v - 1)**2*(v + 3)/2
Suppose -j + 5*j - 12 = s, -5*j = s - 15. Let o(r) be the third derivative of 0 - j*r**2 + 1/2*r**3 - 3/20*r**5 + 0*r + 1/4*r**4. Suppose o(v) = 0. What is v?
-1/3, 1
Let p(d) be the first derivative of d**4/4 - 2*d**3/3 + d**2/2 - 78. Factor p(k).
k*(k - 1)**2
Factor 88*s**2 - 5*s**3 - 87*s - 63*s - 162 - 219*s.
-(s - 9)**2*(5*s + 2)
Determine v so that 4*v**5 - 13 - 1764*v**4 - 8*v**3 + 184*v**2 + 1672*v**4 - 79 + 4*v = 0.
-1, 1, 23
Let k(q) be the first derivative of -q**6/360 - q**5/120 - 2*q**3 - 6. Let w(g) be the third derivative of k(g). Factor w(a).
-a*(a + 1)
Let a(n) be the third derivative of 54*n**7/35 + 51*n**6/5 - 92*n**5/15 - 124*n**4/9 - 64*n**3/9 - 65*n**2 + 2*n. What is c in a(c) = 0?
-4, -2/9, 2/3
Let y = 62 - 12. Let 22*g**3 + 8979 - 70*g**2 - 2*g**4 + y*g - 8979 = 0. Calculate g.
0, 1, 5
Let m(u) be the second derivative of -u**4/6 + 23*u**3/3 + 24*u**2 + 107*u. Find s, given that m(s) = 0.
-1, 24
Let y(p) be the third derivative of -p**5/150 - p**4/15 + p**2 - 47*p. Factor y(g).
-2*g*(g + 4)/5
Suppose -1458*b - 42 = -1472*b. Factor 8/13*y**b + 12/13*y**2 - 16/13*y**4 + 2/13 - 10/13*y.
-2*(y + 1)*(2*y - 1)**3/13
Suppose 2*l = 2*m - 6*m + 6, 5*l = -4*m - 3. What is k in 0*k - 33 - k + 6 + 19*k - m*k**2 = 0?
3
Let j(u) = -2 - 1 - 1 + u + u**3 - 2 - 10*u**2. Let a be j(10). Factor k**3 + a*k**3 - 2*k + 4*k**2 - 3*k**3 - 4.
2*(k - 1)*(k + 1)*(k + 2)
Let y(j) be the second derivative of 9*j - 1/80*j**5 + 0 - 5/48*j**4 