3/5 - 25*k**2/2 + 31. Let g(q) be the second derivative of d(q). Find r such that g(r) = 0.
-3, 2
Let t be (-2)/2*(-1416)/472. Find i such that 3*i**3 + 6*i**2 - 3/2*i - 3 - 3/2*i**5 - t*i**4 = 0.
-2, -1, 1
Let p(s) be the first derivative of -21*s**3 + 30*s**2 + 3*s - 405. Factor p(c).
-3*(c - 1)*(21*c + 1)
Let a(g) be the third derivative of -1/4*g**5 + 0*g + 1/42*g**7 + 29*g**2 + 0*g**4 + 0 - 1/12*g**6 + 0*g**3. Suppose a(x) = 0. What is x?
-1, 0, 3
Let n(z) be the second derivative of 4*z**5/65 - 37*z**4/39 - 19*z**3/39 + 759*z. Factor n(y).
2*y*(2*y - 19)*(4*y + 1)/13
Let l(r) = 5*r + 6. Let o be l(-1). Let x be (o/7)/((-60)/(-140)). Factor 1/3*s**2 + 0 + x*s**3 + 0*s.
s**2*(s + 1)/3
Let x(p) = -p**2 - 22*p + 75. Let q be x(-25). Let f(l) be the second derivative of 0 + q*l**2 + 3*l - 1/27*l**3 + 1/54*l**4. Let f(j) = 0. What is j?
0, 1
Suppose -7*y - 15 + 29 = 0. Suppose -c + 0*c = -y. Let 3/4*i**3 + 3/2*i + 0 - 9/4*i**c = 0. Calculate i.
0, 1, 2
Let z(d) be the first derivative of -d**8/560 + d**7/105 - 13*d**6/1080 + d**5/180 + 11*d**3/3 - 12. Let s(i) be the third derivative of z(i). Factor s(t).
-t*(t - 2)*(3*t - 1)**2/3
Factor -2/9*w**4 + 0*w + 0 + 0*w**2 + 2/9*w**3.
-2*w**3*(w - 1)/9
Let r(s) be the second derivative of s**5/30 - s**4/2 + 29*s - 2. Suppose r(m) = 0. Calculate m.
0, 9
Let n(w) = -38*w**2 - 182*w - 666. Let c(r) = 8*r**2 + 36*r + 133. Let o(a) = 14*c(a) + 3*n(a). Factor o(h).
-2*(h + 4)*(h + 17)
Let x = 34 - 27. Suppose 5*y + x*y - 16*y**2 + 110 - 9*y**3 - 116 + 19*y = 0. Calculate y.
-3, 2/9, 1
Factor -7/4*y + 9/2 - 1/4*y**2.
-(y - 2)*(y + 9)/4
Let j = -1064 + 2029/2. Let b = j - -50. Find i, given that -1/6 - 1/6*i**3 - b*i**2 - 1/2*i = 0.
-1
Factor -31*x**2 + 55*x**2 + 5*x**4 + 3*x**4 - 5 + 4*x - 3 - 28*x**3.
4*(x - 2)*(x - 1)**2*(2*x + 1)
Suppose 18 = 188*n - 202*n + 60. Solve 2/5*l**n + 0 + 6/5*l**2 + 4/5*l = 0 for l.
-2, -1, 0
Let l be 0/((-42)/(-28)*2/(-3)). Let v(b) be the second derivative of 1/36*b**4 - 1/60*b**5 + 5/18*b**3 - 10*b + l + 1/2*b**2. Determine y so that v(y) = 0.
-1, 3
Let j = 2115 - 2112. Let y be 4/(-14) + (-30)/(-56). Determine v, given that 1/4 - 1/2*v + 0*v**2 - y*v**4 + 1/2*v**j = 0.
-1, 1
Factor -1/7*p**4 + 1/7*p**5 - 2/7*p**3 + 0*p**2 + 0 + 0*p.
p**3*(p - 2)*(p + 1)/7
Let o(w) be the second derivative of -1/20*w**5 - 1/12*w**4 + 0*w**2 - 10*w + 1/42*w**7 + 0 + 1/30*w**6 + 0*w**3. Find m such that o(m) = 0.
-1, 0, 1
Let c(u) = -20*u**3 + 69*u**2 + 60*u - 8. Let q(h) = h**2 - 2. Let b(g) = -c(g) + 4*q(g). Factor b(m).
5*m*(m - 4)*(4*m + 3)
Let k = -6251/4 - -43765/28. Determine p, given that -2/7*p**2 + 0 - k*p = 0.
-1, 0
Find c such that 3/5*c**5 + 192/5*c - 12/5*c**4 - 33/5*c**3 + 78/5*c**2 + 96/5 = 0.
-2, -1, 4
Let z(k) be the first derivative of 111*k**5/5 - 561*k**4/20 + 2*k**3/5 - 574. Suppose z(a) = 0. Calculate a.
0, 2/185, 1
Factor -2/3*a**3 - 11/9*a**2 + 20/9*a - 1/3.
-(a - 1)*(a + 3)*(6*a - 1)/9
Factor -w - 2/3 + 2/3*w**2.
(w - 2)*(2*w + 1)/3
Let k be -25*(-44)/3850 + 0. Suppose k*q**2 - 8/7 - 6/7*q = 0. What is q?
-1, 4
Let k(j) be the third derivative of 0 - 7/12*j**5 + 0*j**3 - 8*j**2 + 0*j + 5/24*j**4. Factor k(m).
-5*m*(7*m - 1)
Let x be 12/216*(-1 + 9). Find q, given that x*q**5 + 8/9*q**2 + 4/9*q**3 + 2/9 - 10/9*q**4 - 8/9*q = 0.
-1, 1/2, 1
Suppose -5*j - 9 = 2*u + 12, 5*u + 10 = -4*j. Let r(z) be the third derivative of 0*z + 4/3*z**3 - 1/30*z**6 + 0*z**5 + 0 + 1/2*z**4 - 5*z**u. Factor r(h).
-4*(h - 2)*(h + 1)**2
Determine d so that -2/7*d**3 + 10/7*d**2 - 8/7*d + 0 = 0.
0, 1, 4
Let j be (-46)/(-2) + -6 + 5. Let m = -19 + j. What is c in m*c**4 + 3*c - c**4 + 4*c**4 - 6*c**2 - 3*c**5 = 0?
-1, 0, 1
Factor 0 + 289/3*j + 1/3*j**3 + 34/3*j**2.
j*(j + 17)**2/3
Let q(f) be the second derivative of -5/66*f**4 - 2/11*f**2 + 9/110*f**5 + 3*f - 3/11*f**3 + 7/165*f**6 + 15. Suppose q(v) = 0. Calculate v.
-1, -2/7, 1
Let w be (-2)/4*0 + 417 + -414. Let 41/2*s + w + 11/2*s**3 + 23*s**2 = 0. Calculate s.
-3, -1, -2/11
Let g(x) = -x**3 - 20*x**2 - 36*x - 7. Let m be g(-18). Let u be (m - (-153)/18)/(6/8). Factor 0*l + 1/2*l**3 + 0*l**u + 0.
l**3/2
Let b(x) be the second derivative of -x**4/6 - 127*x**3/6 + 32*x**2 - 59*x. Factor b(u).
-(u + 64)*(2*u - 1)
Suppose g = -y - 2 + 8, -4*y = 5*g - 27. Suppose 3*v - 3*a = 5*v + g, 4*v + a = 9. Factor -15*i - 18*i**2 - 9/2 - 3/2*i**4 - 9*i**v.
-3*(i + 1)**3*(i + 3)/2
Let o(y) = y**2 - 7*y + 26*y + 6 - 21 - 17. Let g(q) = -q**2 - q. Let v(t) = -3*g(t) - o(t). Suppose v(s) = 0. What is s?
4
Let g be (1/2 - (-3179)/66)*3. Let k = g + -143. Factor -72/7*o**2 - 78/7*o**k - 6*o**4 - 9/7*o**5 - 33/7*o - 6/7.
-3*(o + 1)**4*(3*o + 2)/7
Determine s, given that 188*s**3 - 72 + 31*s - 532*s**2 + 16*s**4 + 12*s**4 + 21*s + 27*s + 309*s = 0.
-9, 2/7, 1
Find n such that 19*n**2 - 9*n**2 - 5*n**2 - 4*n**2 = 0.
0
Let k be -40*(-41)/9020 - (-1)/55. Factor -k*l**3 + 0 + l**2 - 4/5*l.
-l*(l - 4)*(l - 1)/5
Let w(k) be the second derivative of k**6/45 + 4*k**5/15 + 11*k**4/9 + 8*k**3/3 + 3*k**2 + 74*k. Factor w(n).
2*(n + 1)**2*(n + 3)**2/3
Suppose 0 = -s, 3*b - 2*s + 3 = 15. Let c(a) be the first derivative of -2/25*a**5 + 0*a + 0*a**2 + 2/15*a**3 + b + 0*a**4. Factor c(j).
-2*j**2*(j - 1)*(j + 1)/5
Let z(f) be the second derivative of -6*f**5/25 + 3*f**4/10 + 4*f**3/5 - 9*f**2/5 - f + 2. Solve z(t) = 0 for t.
-1, 3/4, 1
Let l(k) be the second derivative of -5*k**4/12 + 20*k**3 + 105*k. Factor l(r).
-5*r*(r - 24)
Let b(a) be the first derivative of a**7/420 - a**6/60 + a**4/3 + 5*a**3/3 + 1. Let z(w) be the third derivative of b(w). Factor z(h).
2*(h - 2)**2*(h + 1)
Let h = -37 + 80. Factor 18 + 27 - 4*f**2 - h - 16*f + 18.
-4*(f - 1)*(f + 5)
Let k(h) = -h**4 + 3*h**3 + h + 1. Let n(w) = 3*w**4 + 131*w**3 + 395*w**2 - 5023*w + 4502. Let t(c) = -2*k(c) + n(c). Suppose t(p) = 0. Calculate p.
-15, 1, 4
Suppose -d + 511 = 4*p, -5*d = 3*p + 42 - 2529. Let i be 2 - 0 - (d/10)/(-9). Determine t, given that 8*t**5 - 1/2*t + 4*t**4 + 0 - 4*t**2 - i*t**3 = 0.
-1, -1/4, 0, 1
Let w = -2/58819 + 294103/235276. Factor 25/4*k**2 - w*k**3 - 5/2*k - 10.
-5*(k - 4)*(k - 2)*(k + 1)/4
Let y(q) be the first derivative of -q**3/9 + 7*q**2/3 + 5*q - 36. Solve y(i) = 0 for i.
-1, 15
Suppose o + 4*r - 7 = 0, 5*r - 2*r = 5*o - 12. Let b(z) = z**3 - z**2 - 7*z + 7. Let f be b(o). What is y in 1/5*y**f + 2/5*y**2 + 0*y + 3/5*y**3 + 0 = 0?
-2, -1, 0
Let i be (2/(-8)*7)/((-5)/92). Let k = -28 + i. Suppose -3*z**4 + k*z**3 + 0*z + 0 - 6/5*z**2 = 0. What is z?
0, 2/5, 1
Solve 26*j - 2/7*j**2 - 180/7 = 0.
1, 90
Suppose -2*m - t + 4*t = 0, 0 = -3*m - 3*t. Suppose 4*w + 3*g = 9, -4*w + 3*g - 2 + 17 = m. Factor d + 20 + d**w - 3*d**3 - 20 - d**2.
-d*(d + 1)*(2*d - 1)
Let f be (-3 - (-8 - -3)) + 963/(-1099). Let x = f - -3/157. Factor x*k + 12/7*k**2 + 2/7 + 2/7*k**4 + 8/7*k**3.
2*(k + 1)**4/7
Let u(s) = 121*s**2 + 1. Let j be u(1). Let k be -2 + j/55 + (-34)/(-187). Factor 4/5*w**3 - 2/5*w**5 - k*w + 2/5 + 2/5*w**4 - 4/5*w**2.
-2*(w - 1)**3*(w + 1)**2/5
Determine t so that -30*t**2 - 42*t**3 + 59*t - 98 + 21*t**3 + 23*t**3 + 67*t = 0.
1, 7
Suppose 3*u - 6 = 54. Solve 11 + 9 - 20*l**4 - u + 5*l**5 = 0.
0, 4
Let l(v) = -24*v**3 - 12*v**2 + 4*v. Let o(x) = 23*x**3 + 13*x**2 - 4*x. Suppose 0 = -5*s - 7 - 13. Let h(i) = s*o(i) - 3*l(i). Factor h(q).
-4*q*(q + 1)*(5*q - 1)
Let j(b) be the first derivative of 2*b**6/15 - 2*b**5/25 - b**4/10 - 72. Factor j(k).
2*k**3*(k - 1)*(2*k + 1)/5
Let j(b) be the third derivative of b**7/210 + 7*b**6/90 + b**3/6 + 10*b**2. Let l(n) be the first derivative of j(n). Let l(c) = 0. What is c?
-7, 0
Let i = -14 + 12. Let c be (-16)/(-10) + i/(-5). Solve -2*q + 0*q + 0*q + 0*q - 2*q**c = 0.
-1, 0
Let q(v) be the second derivative of -3*v**5/40 - v**4/8 + v**3 + 3*v**2 - 28*v. Solve q(k) = 0 for k.
-2, -1, 2
Let n(x) be the third derivative of -x**6/720 + x**5/360 + x**4/72 - 165*x**2. Factor n(f).
-f*(f - 2)*(f + 1)/6
Let y(m) be the first derivative of -m**7/1260 + m**6/135 - m**5/36 + m**4/18 + 2*m**3/3 + 3. Let k(c) be the third derivative of y(c). What is o in k(o) = 0?
1, 2
Let d(s) be the second derivative of -5/12*s**4 + 14*s + 10/3*s**3 - 10*s**2 + 0. Factor d(k).
-5*(k - 2)**2
Let -52/7*a - 30 - 2/7*a**2 = 0. What is a?
-21, -5
Let k(c) = 5*c - 18. Let q be 