. Find d, given that k*d**2 + 16/7 - 4/7*d**3 - 32/7*d = 0.
1, 2
Let 1/3*h**5 + 16 + 104/3*h**2 + 11/3*h**4 + 16*h**3 + 112/3*h = 0. Calculate h.
-3, -2
Factor -2*j**2 - 3*j - 242 - j**2 - 265 + 81*j.
-3*(j - 13)**2
Let a be -2 - (-7 - -6)*5. Let o be 3/18*1 + a/9. Solve 1/2*u**3 + 1/2*u**2 - 1/2*u - o = 0.
-1, 1
Let u = 1 + 2. Let l be (-9)/((-162)/48) + 8/(-12). Solve -2*t**l - 3/2*t - 1/3 - 5/6*t**u = 0.
-1, -2/5
Let s = 869 + -83423/96. Let c(k) be the third derivative of -s*k**4 + 0 + 1/480*k**6 + 5*k**2 + 0*k - 1/24*k**3 + 1/240*k**5. Suppose c(t) = 0. Calculate t.
-1, 1
Factor -1/4*d - 9/4 + 1/4*d**3 + 9/4*d**2.
(d - 1)*(d + 1)*(d + 9)/4
Let v(t) = -t**3 + 12*t**2 + 15*t - 20. Suppose 3*k - 5*z = 19, 4*z - 5 + 2 = k. Let b be v(k). Factor 3/2*w**3 + 3/2*w**2 - b*w - 6.
3*(w - 2)*(w + 1)*(w + 2)/2
Suppose 0 = 3*u + 4*k - 11, 3*u - 1 = 8*u - 3*k. Let s(y) = -y - 3. Let c be s(-5). Factor 0 + p**2 + 8*p + 7 + p**c + u.
2*(p + 2)**2
Let d(h) = h**2 + 8*h + 4. Let p be d(-8). What is j in 12*j**2 + 2*j**3 - 6*j + p*j**3 + 18*j + 10*j**2 = 0?
-3, -2/3, 0
Let x(d) be the third derivative of -d**4/24 - d**3/6 - d**2. Let i(z) = z**2 - 4*z + 13. Let n(y) = i(y) + 3*x(y). Factor n(h).
(h - 5)*(h - 2)
Let b(m) be the second derivative of -m**5/80 + m**4/3 - 13*m**3/6 + 6*m**2 - 21*m + 1. Factor b(x).
-(x - 12)*(x - 2)**2/4
Let i(r) be the second derivative of r**7/14 + r**6/5 + 3*r**5/20 - r - 71. Determine h so that i(h) = 0.
-1, 0
Let m(q) be the second derivative of -q**7/210 - q**6/30 + 8*q + 3. Factor m(o).
-o**4*(o + 5)/5
Let h be (126/36)/((-35)/(-40)). Suppose -13/3*j**2 - 4/3 - 4*j - 1/3*j**h - 2*j**3 = 0. What is j?
-2, -1
Suppose 0 = -4*i + 6*i - 8. Suppose 3*g - h - 26 = 0, 66 = i*g + 3*h + 14. Factor -15*m**4 - 11*m**3 - 12*m**2 - 3*m**5 - 23*m**3 + g*m**3.
-3*m**2*(m + 1)*(m + 2)**2
Suppose 9*w - 8 - 10 = 0. Let i be 2*(w + (-26)/14). Find l such that 0 + 0*l + i*l**2 - 1/7*l**3 = 0.
0, 2
Let q(j) be the first derivative of 9*j**5/20 + 3*j**4/2 - 15*j**3/4 + 3*j**2/2 + 50. Suppose q(v) = 0. Calculate v.
-4, 0, 1/3, 1
Suppose 6*v - 12 = 3*v + 3*z, z = -4*v + 6. Let -1/2*k - 1/4*k**3 + 0 - 3/4*k**v = 0. Calculate k.
-2, -1, 0
What is c in 5*c**3 + 5*c + 2 - 15*c**2 - 7 + 10*c = 0?
1
Let x(h) = 155*h**2 + 65*h - 3255. Let i(l) = 7*l**2 + 3*l - 148. Let u(q) = -45*i(q) + 2*x(q). Factor u(a).
-5*(a - 5)*(a + 6)
Let u(h) = -15*h**5 + 25*h**4 - 7*h**3 - 5*h**2. Let q(t) = 30*t**5 - 50*t**4 + 15*t**3 + 10*t**2. Let l(w) = -2*q(w) - 5*u(w). Factor l(n).
5*n**2*(n - 1)**2*(3*n + 1)
Solve 88*l**3 - 201*l - 624*l - 2250 + 140*l**2 - 93*l**3 = 0 for l.
-2, 15
Solve -8/15*b**3 + 36/5 - 82/15*b**2 - 26/5*b = 0 for b.
-9, -2, 3/4
Let y(z) be the third derivative of -1/84*z**6 + 17*z**2 - 1/42*z**3 + 0 + 0*z - 1/2352*z**8 - 1/294*z**7 - 5/168*z**4 - 1/42*z**5. Find c such that y(c) = 0.
-1
Let g(t) be the second derivative of -t**5/5 + 4*t**4/3 - 10*t**3/3 + 4*t**2 + 132*t. Factor g(d).
-4*(d - 2)*(d - 1)**2
Let l(v) be the third derivative of -v**10/113400 - v**9/30240 + v**7/7560 + v**5/12 - 4*v**2. Let k(a) be the third derivative of l(a). What is w in k(w) = 0?
-1, 0, 1/2
Let d(n) be the first derivative of n**8/60 + n**7/42 - n**6/45 - 4*n**3/3 + 15. Let s(i) be the third derivative of d(i). Let s(w) = 0. What is w?
-1, 0, 2/7
Let p(m) = m**2 - 54*m + 332. Let g be p(7). Solve 11/3*b + g*b**2 + 2/3 = 0.
-1, -2/9
Let x(t) = 5*t - 1. Let a be x(1). Factor 4*w**2 + 6*w**4 + w - 11*w**4 - 3*w**2 + a*w**4 - w**3.
-w*(w - 1)*(w + 1)**2
Let o(i) be the third derivative of -3/160*i**6 + 1/20*i**5 + i**2 + 0 + 0*i**3 + 0*i - 1/24*i**4. Factor o(d).
-d*(3*d - 2)**2/4
Let j(i) be the third derivative of -i**10/7560 + i**9/3780 - 17*i**4/24 - 15*i**2. Let w(o) be the second derivative of j(o). Factor w(l).
-4*l**4*(l - 1)
Let y(c) = 55*c**2 - 35*c + 15. Let t(b) = -14*b**2 + 9*b - 6 + 3 - 1. Let x(h) = 15*t(h) + 4*y(h). Factor x(w).
5*w*(2*w - 1)
Let v(d) be the second derivative of 5*d**4/12 - 215*d**3/6 - 110*d**2 - d + 26. What is o in v(o) = 0?
-1, 44
Determine k so that -9/5*k**2 - 1/5*k**3 + 52/5*k + 0 = 0.
-13, 0, 4
Let i be (-532)/(-98) + (-69)/161. Let 8/11*a**i + 36/11*a - 138/11*a**2 + 0 + 30/11*a**4 - 32/11*a**3 = 0. Calculate a.
-3, 0, 1/4, 2
Let t = 17/6 - 27/10. Let h(c) be the second derivative of 0*c**2 + 0 + 1/50*c**5 - 1/30*c**4 - t*c**3 - 5*c. Factor h(q).
2*q*(q - 2)*(q + 1)/5
Let f be (-4 + 688/168)/(-2 + 292/140). Factor 0 + 16/9*c**3 + 0*c - 8/9*c**2 + 2/9*c**5 - f*c**4.
2*c**2*(c - 2)**2*(c - 1)/9
Let -32*j - 4*j - 4*j**5 + 40*j**3 + 55734*j**4 - 120*j**2 - 55722*j**4 + 108 = 0. Calculate j.
-3, -1, 1, 3
Let q(n) be the first derivative of -n**4/28 - 163*n**3/21 - 6723*n**2/14 - 6561*n/7 - 394. Suppose q(p) = 0. Calculate p.
-81, -1
Let h(a) be the second derivative of -a**7/21 + 2*a**6/15 + a**5/5 - 4*a**4/3 + 7*a**3/3 - 2*a**2 - 2*a + 13. Factor h(n).
-2*(n - 1)**4*(n + 2)
Let y(q) be the third derivative of -q**5/30 + 11*q**4/4 + 70*q**3/3 - 531*q**2. Find x, given that y(x) = 0.
-2, 35
Let u = 7560 + -37792/5. Factor 0 + 4/5*p**4 - u*p + 8/5*p**3 - 4/5*p**2.
4*p*(p - 1)*(p + 1)*(p + 2)/5
Let b = 44 - 45. Let y be 4/((-16)/(-19)) + -3 + b. Let -k**2 + 1/2*k**3 - 1/2*k + y*k**4 + 1/4 = 0. Calculate k.
-1, 1/3, 1
Let q(h) = 16*h - 109. Let a be q(7). Let u be (2 - 8/a)/((-10)/6). Factor 0 + 0*v + u*v**4 - 4/5*v**3 + 2/5*v**2.
2*v**2*(v - 1)**2/5
Let s(x) be the first derivative of -x**6/6 - 2*x**5/5 + 5*x**4/4 + 10*x**3/3 - 2*x**2 - 8*x - 52. Let s(f) = 0. What is f?
-2, -1, 1, 2
Let s = 2/24107 - -72317/48214. Factor s*x + 0 - 3/4*x**4 - 15/4*x**2 + 3*x**3.
-3*x*(x - 2)*(x - 1)**2/4
Let w be 12/8 + (-7)/(-2). Factor 9*h**3 + 60*h - 8*h**3 - 14*h**3 - 10*h**2 + w*h**4 - 40 - 2*h**3.
5*(h - 2)**2*(h - 1)*(h + 2)
Let y(s) be the second derivative of 2*s**7/21 + 54*s**6/5 + 303*s**5 - 5041*s**4/3 + 3472*s**3 - 3528*s**2 + 184*s. Factor y(q).
4*(q - 1)**3*(q + 42)**2
Let f = 31 + -28. Suppose 0 = -p + f - 1. Factor -91*k + 85*k - 5*k**2 - 10*k**p + 9.
-3*(k + 1)*(5*k - 3)
Let s(t) be the third derivative of t**6/420 + 73*t**5/35 + 5329*t**4/7 + 3112136*t**3/21 + 216*t**2. What is b in s(b) = 0?
-146
Let t(a) be the second derivative of a**5/420 + a**4/42 + 2*a**3/21 + 21*a**2/2 - 43*a. Let r(b) be the first derivative of t(b). Factor r(z).
(z + 2)**2/7
Let g be -2 - ((-3)/((-210)/(-1594)) - 12/(-60)). Solve 4*s**2 + g - 2/7*s**3 - 120/7*s = 0 for s.
2, 6
Factor -10 - o**3 - 5 + 15 - o**2.
-o**2*(o + 1)
Let b(r) be the third derivative of 5/336*r**8 - 7/200*r**6 + 14*r**2 - 1/30*r**4 - 1/15*r**5 + 0 + 0*r + 0*r**3 + 2/105*r**7. What is s in b(s) = 0?
-1, -2/5, 0, 1
Let g(c) be the first derivative of 2*c**3/3 + 12*c**2 + 22*c - 1116. Factor g(h).
2*(h + 1)*(h + 11)
Suppose 4*y**3 - 28*y**2 - 8 + 1 + 3 + 1 + 44*y - 17 = 0. Calculate y.
1, 5
Suppose -3*v = -4*m - 11, 20 = 4*v - 0*v - 4*m. Suppose 5*r = 2*r - 4*a + 21, -a - v = -4*r. Factor -6*p**3 - p**3 - 3*p + 15*p**2 + 2*p**r - 7*p.
-5*p*(p - 2)*(p - 1)
Let a(d) be the first derivative of -5*d**4/8 + 25*d**3/6 + 65*d**2/4 + 35*d/2 + 1. Factor a(r).
-5*(r - 7)*(r + 1)**2/2
Suppose a - 4*a = -30. Let z be (-15)/(a/(-2)) - 1. What is r in 25*r - 8*r**2 - 15*r**2 + 5*r**3 - 10*r + 3*r**z = 0?
0, 1, 3
Suppose -5*z + z + 6*z = 0. Suppose 10*y + 18*y - 11*y = z. Factor y + 1/5*t**5 + 0*t**2 + 0*t**3 + 0*t + 0*t**4.
t**5/5
Let p(c) = -60*c**4 + 564*c**3 - 1116*c**2 + 788*c - 184. Let b(v) = 40*v**4 - 376*v**3 + 744*v**2 - 525*v + 122. Let d(g) = 8*b(g) + 5*p(g). Factor d(a).
4*(a - 7)*(a - 1)**2*(5*a - 2)
Let r be (10/7)/((-11)/(-1111)). Let h = -144 + r. Factor 0 - 6/7*s**5 + 0*s + 4/7*s**3 + 0*s**2 + h*s**4.
-2*s**3*(s - 1)*(3*s + 2)/7
Let d(f) = 2*f**2 + 32*f + 76. Let q(r) = -8*r**2 - 95*r - 228. Let s(u) = -7*d(u) - 2*q(u). Factor s(o).
2*(o - 19)*(o + 2)
Let m(k) be the first derivative of 2*k**3/33 + 9*k**2/11 + 36*k/11 - 658. Let m(j) = 0. What is j?
-6, -3
Let n(o) be the third derivative of o**8/151200 - o**7/37800 + 7*o**5/60 + 10*o**2. Let b(i) be the third derivative of n(i). Suppose b(a) = 0. What is a?
0, 1
Suppose 0 = -8*l + 12 + 28. Let t be l/10*2*2/10. Factor t*y - y**3 - 2/5*y**4 + 1/5 - 3/5*y**2.
-(y + 1)**3*(2*y - 1)/5
Let k(g) = -g**2 - 85*g**3 + 86*g**3 - 3*g + 9*g