/24 + 5*p**3/3 + 10*p. Let z(w) be the second derivative of c(w). Factor z(v).
(v - 1)*(v + 2)**2/4
Suppose -84*c - 171 = -141*c. Find o, given that -c + 3*o**5 - 9/2*o + 39/2*o**3 + 27/2*o**4 + 15/2*o**2 = 0.
-2, -1, 1/2
Let j(q) = -216*q**4 - 145*q**3 + 11*q**2 + 7. Let k(b) = 144*b**4 + 97*b**3 - 7*b**2 - 5. Let i(l) = 5*j(l) + 7*k(l). Factor i(y).
-2*y**2*(4*y + 3)*(9*y - 1)
Determine o so that -205*o - 15*o**2 + 267119 - 267119 = 0.
-41/3, 0
Suppose s = -5*v - 10, 0 = 3*s - v - 0 - 18. Suppose -3 + s = c. Factor -32/9*a**c - 2/9 + 16/9*a.
-2*(4*a - 1)**2/9
Let t(p) be the first derivative of -p**4/18 - 10*p**3/27 + 8*p**2/9 + 8*p/3 + 80. Suppose t(f) = 0. Calculate f.
-6, -1, 2
Factor -2*s**3 + 4/3*s**2 + 5/3*s - 4/3*s**4 + 0 + 1/3*s**5.
s*(s - 5)*(s - 1)*(s + 1)**2/3
Let t(h) be the third derivative of -h**7/315 - 17*h**6/540 - h**5/10 - 7*h**4/108 + 2*h**3/9 - 19*h**2 + 3. Let t(n) = 0. What is n?
-3, -2, -1, 1/3
Let o be (-21)/7 + -1 + 4. Let b = -569 - -572. Suppose o + 1/8*y + 1/8*y**4 - 1/8*y**b - 1/8*y**2 = 0. Calculate y.
-1, 0, 1
Let a be 939/8 - (-36)/(-96). Let b = a - 114. Factor 0 + 1/3*w**4 + 2/3*w**2 + 0*w - w**b.
w**2*(w - 2)*(w - 1)/3
What is w in 0*w - 3*w + 13*w - 5*w + 5*w**2 = 0?
-1, 0
Let t(o) be the third derivative of 1/60*o**5 + 1/120*o**6 - 1/12*o**4 + 0*o + 0*o**3 + 13*o**2 + 0. Factor t(n).
n*(n - 1)*(n + 2)
Suppose 56 = -4*n + 172. Let y = n + -26. Factor -3/2 + 3/4*f**y + 0*f**2 - 9/4*f.
3*(f - 2)*(f + 1)**2/4
Let v(g) = g**2 - 15*g + 12. Let p be v(13). Let f be (-1 - 14/(-4)) + (p - -14). Determine a, given that 2 - 6*a**3 - f*a**4 + 1/2*a**2 + 6*a = 0.
-2, -1, -2/5, 1
Suppose 5*p = 3*a - 34, 4*p - 8*p + 24 = 4*a. Suppose f - a + 1 = -2*x, -2*x + 4*f = 8. Determine k, given that -1/2*k + 1/4*k**x + 1/4 = 0.
1
Let q(x) = 6*x + 12. Let f(v) = v**2 - 3*v - 1. Let b(a) = 2*f(a) - q(a). Factor b(c).
2*(c - 7)*(c + 1)
Let q(f) be the first derivative of f**4/28 - 201*f**3/7 + 121203*f**2/14 - 8120601*f/7 + 324. Factor q(l).
(l - 201)**3/7
Factor 2/5*i**2 + 0*i - 2/5.
2*(i - 1)*(i + 1)/5
Let i = 12/67 - -342/335. Factor i*z**3 + 0 + 0*z - 2/5*z**4 - 4/5*z**2.
-2*z**2*(z - 2)*(z - 1)/5
Let x(y) be the third derivative of y**6/120 + y**5/15 - 7*y**4/8 - y**2 + 114*y. Factor x(v).
v*(v - 3)*(v + 7)
Solve 12*y**3 + 723*y + 16*y**2 - 723*y + 2*y**4 = 0 for y.
-4, -2, 0
Let w(k) = -3*k**2 + 200*k + 272. Let u be w(68). Factor u*h**2 + 0 - 1/5*h**3 + 1/5*h.
-h*(h - 1)*(h + 1)/5
Let n = -36 - -39. Factor -5*f**4 + 3*f**2 - 6*f**2 + 2*f**4 + 6*f**n.
-3*f**2*(f - 1)**2
Let o(r) = 11*r**2 - 151*r + 293. Let t(p) = 5*p**2 - 76*p + 146. Let l(h) = 2*o(h) - 5*t(h). Factor l(b).
-3*(b - 24)*(b - 2)
Factor 1/6*r**5 + 6*r**2 + 0*r + 0 - 2*r**4 + 23/6*r**3.
r**2*(r - 9)*(r - 4)*(r + 1)/6
Let b(q) be the second derivative of -2*q**6/39 - 13*q**5/10 - 148*q**4/39 - 167*q**3/39 - 30*q**2/13 - 125*q. Find d such that b(d) = 0.
-15, -1, -1/2, -2/5
Let c be 8*21/252*144/20. What is q in 4/5*q**2 + 4 - c*q = 0?
1, 5
Let a be (-154)/(-13) - ((-222)/(-78) + -3). Suppose -10*i**4 - 2*i**4 + 24 + 21*i**4 - 18*i**2 - 84*i + a*i**4 + 57*i**3 = 0. Calculate i.
-2, 2/7, 1
Let u be (-2)/(-12) - 4/((-288)/(-9102)). Let q = -3439/28 - u. Factor -12/7*j**3 + q*j**2 + 0 - 16/7*j + 2/7*j**4.
2*j*(j - 2)**3/7
Let a = 134 + -68. Let a + 61 - 127 - 3*f**2 + 21*f = 0. What is f?
0, 7
Let b = 6767/5 + -1352. Let -7/5*s**2 - 6/5*s + b*s**5 - 33/5*s**4 + 39/5*s**3 + 0 = 0. Calculate s.
-2/7, 0, 1, 3
Determine q, given that 0 - 82/7*q**2 + 6/7*q**3 + 52/7*q = 0.
0, 2/3, 13
Suppose -20 + 110 = 45*l. Factor -3/2 - 3/2*u + 3/2*u**3 + 3/2*u**l.
3*(u - 1)*(u + 1)**2/2
Let r(l) be the third derivative of -1/2*l**3 + 0*l + 10*l**2 + 0 + 1/8*l**4 - 1/40*l**6 + 1/20*l**5. Factor r(p).
-3*(p - 1)**2*(p + 1)
Factor 0 + 2/7*l - 22/7*l**2.
-2*l*(11*l - 1)/7
Suppose -14*m = 19*m - 231. Let a(j) be the third derivative of 0*j**4 + 0 + 0*j - 1/210*j**m - 1/15*j**5 - 4*j**2 + 1/30*j**6 + 0*j**3. Factor a(k).
-k**2*(k - 2)**2
Determine p so that 46*p**4 + 5*p**5 - 18481*p**2 + 17329*p**2 - 4*p**5 + 480*p**3 = 0.
-24, 0, 2
Let y(r) be the third derivative of 0 + 0*r - 1/28*r**4 - 1/735*r**7 + 1/140*r**6 + 0*r**3 - 14*r**2 + 1/210*r**5. Determine b so that y(b) = 0.
-1, 0, 1, 3
Factor -15*b - 479*b**3 - 3*b - 5*b**2 - 8*b**2 - 13*b**2 + 4*b**5 + 469*b**3 + 6*b**4 - 4.
2*(b - 2)*(b + 1)**3*(2*b + 1)
Let y = -2426 - -7282/3. Factor -2*m**3 + 0*m - 2/3*m**4 - y*m**2 + 0.
-2*m**2*(m + 1)*(m + 2)/3
Let l(s) = -9*s**2 + 4*s - 55. Let j(a) = -11*a**2 + 4*a - 54. Let w(v) = 5*j(v) - 6*l(v). Let w(t) = 0. Calculate t.
-10, 6
Suppose 26 = 2*u + 2*b, -u + 47 = 3*u + 3*b. Factor 12*h + 3 + 2*h**2 + u - 5 + 10.
2*(h + 2)*(h + 4)
Let i(f) be the second derivative of f**7/14 + 7*f**6/10 + 51*f**5/20 + 17*f**4/4 + 3*f**3 - 544*f. Find y, given that i(y) = 0.
-3, -2, -1, 0
Let k(z) be the second derivative of -z**4/12 - 25*z**3/3 + 26*z. Factor k(n).
-n*(n + 50)
What is i in -8/9 - 2/9*i**5 + 2/9*i**3 + 0*i - 2/3*i**4 + 14/9*i**2 = 0?
-2, -1, 1
Factor 24*z - 2/3*z**2 - 70/3.
-2*(z - 35)*(z - 1)/3
Let k(d) be the first derivative of 9/4*d**2 + 0*d - 5/8*d**4 - 1/10*d**5 - 7 - 1/2*d**3. Solve k(u) = 0.
-3, 0, 1
Let t(p) be the third derivative of -1/22*p**4 + 0 + 7*p**2 + 1/330*p**5 + 3/11*p**3 + 0*p. Determine h so that t(h) = 0.
3
Let n(f) be the second derivative of -f**5/2 - f**4/6 + 8*f - 2. Factor n(q).
-2*q**2*(5*q + 1)
Let o = -10 - -13. Let q be 0 - (-5 + 2 - 3). Solve -q*m**4 + m**5 - 3*m**3 + 2*m**5 + 6*m**o = 0 for m.
0, 1
Let s(b) be the first derivative of b**3 + 177*b**2/2 - 180*b + 403. What is p in s(p) = 0?
-60, 1
Let k be 3/(-7) + (-78)/(-7) - 2. Let t = 9 - k. Factor 0*n**4 + t*n**5 - 4/7*n**3 + 0*n**2 + 0 + 2/7*n.
2*n*(n - 1)**2*(n + 1)**2/7
Let r(s) = 8*s. Let m be r(1). Suppose -5*y**4 + y**4 + 0*y**3 + 4*y**3 + m*y**3 - 8*y**2 = 0. Calculate y.
0, 1, 2
Find t, given that 9/8*t - 3/8*t**5 - 6*t**2 - 3/4*t**3 + 9/4*t**4 + 15/4 = 0.
-1, 1, 2, 5
Let g be (-22)/11*4/(-5*48). Let t(v) be the first derivative of 0*v - 8 - g*v**4 + 2/45*v**3 + 0*v**2. Factor t(f).
-2*f**2*(f - 1)/15
Let b(t) be the third derivative of -t**8/4480 - t**7/1440 + t**6/720 + t**5/30 - 24*t**2. Let n(v) be the third derivative of b(v). Factor n(l).
-(l + 1)*(9*l - 2)/2
Let s(x) be the first derivative of 81*x**3 - 20*x**2 - 7*x - 87*x**3 - x - 10. Determine q, given that s(q) = 0.
-2, -2/9
Let n = -485/2 + 244. Suppose 0 = 4*q - 2*q - 2. Factor u**2 + 3/2*u - n*u**3 - q.
-(u - 1)*(u + 1)*(3*u - 2)/2
Let i(c) be the first derivative of -c**4/4 + 171*c**3 - 33024*c**2 + 65536*c + 464. Let i(h) = 0. What is h?
1, 256
Solve -24 - 70/3*x + 2/3*x**2 = 0.
-1, 36
Let m be 21408/176 - (1 - -7). Factor -300/11*a**3 - m*a - 1000/11*a**2 - 2/11*a**5 + 0 - 40/11*a**4.
-2*a*(a + 5)**4/11
Factor 2/17*v**2 + 4/17 - 6/17*v.
2*(v - 2)*(v - 1)/17
Let v(z) = 211*z + 424. Let s be v(-2). Solve -2/9*q**s + 2/3 + 4/9*q = 0.
-1, 3
Let p(r) = r**3 - r**2 - 2*r + 37. Let o be p(0). Suppose 3*t - o = -4. Factor 1 + 16*m + m + 3*m**2 + t - 5*m.
3*(m + 2)**2
Factor 0*v + 0 + 1/2*v**4 - 2*v**2 + 0*v**3.
v**2*(v - 2)*(v + 2)/2
Let t(f) = f**2 + 3*f + 2. Let o be t(-3). Suppose -2*y = -4*m - 2 + 46, -m = -o*y - 8. Factor -3*g - 2*g - 4*g**4 + m*g**3 - 8*g**2 + 5*g.
-4*g**2*(g - 2)*(g - 1)
Factor 2/11 - 2/11*f - 2/11*f**2 + 2/11*f**3.
2*(f - 1)**2*(f + 1)/11
Let j(c) be the second derivative of c**5/40 - c**4/8 - c**3/12 + 3*c**2/4 - 57*c. Factor j(o).
(o - 3)*(o - 1)*(o + 1)/2
Let m(h) be the first derivative of h**5/30 - h**4/3 + 4*h**3/3 + 7*h**2/2 + 3. Let j(k) be the second derivative of m(k). Determine r, given that j(r) = 0.
2
Let l(h) = 23*h**3 + 122*h**2 + 145*h + 40. Let t(a) = -24*a**3 - 120*a**2 - 144*a - 40. Let z(x) = -4*l(x) - 3*t(x). Factor z(q).
-4*(q + 1)*(q + 5)*(5*q + 2)
Let o(i) be the third derivative of 2*i**7/105 + 2*i**6/15 + i**5/5 - 2*i**4/3 - 8*i**3/3 + 113*i**2. Let o(t) = 0. Calculate t.
-2, -1, 1
Suppose 0 = -5*g - 2*t + 5*t + 22, 0 = 5*g + 2*t - 27. Let q be 5/25 - (-19)/g. Factor -2*a**3 + q*a + a**3 + 1 + a**2 - 5.
-(a - 2)*(a - 1)*(a + 2)
Let n be 132/(-48) - (-6 + (6 - 3)). Let d(q) be the first derivative of 5 + 3/4*q + n*q**3 - 3/4*q**2. Find t, given that d(t) = 0.
1
Let k be 22/14 + -2 - (-24)