e 3/(6 + (1 - 6)). Let x(v) be the first derivative of -5 - 2*v**2 + 2/5*v**5 + 10/3*v**n - 2*v**4 + 0*v. Let x(c) = 0. What is c?
0, 1, 2
Factor 1/2*l**2 - 137/4*l - 69/4.
(l - 69)*(2*l + 1)/4
Let l be (1748/171 - 10) + (-136)/(-36). Suppose 12/5 + 3/5*b**l + 12/5*b - 6/5*b**3 - 9/5*b**2 = 0. What is b?
-1, 2
Suppose 5*p = 8*p - 12. Suppose p*l + 4*s = 3*s + 8, 26 = 2*l - 5*s. Factor -14/9*o**l - 4/9*o + 2*o**2 + 0.
-2*o*(o - 1)*(7*o - 2)/9
Determine q so that 16/9*q - 2/3*q**2 - 8/9 - 4/9*q**3 + 2/9*q**4 = 0.
-2, 1, 2
Solve 12/7*f**3 - 16/7*f**2 + 0 - 2*f + 16/7*f**4 + 2/7*f**5 = 0 for f.
-7, -1, 0, 1
Let v(d) be the first derivative of 0*d + 4 + 3/5*d**4 + 7/15*d**3 + 1/10*d**2. Find n such that v(n) = 0.
-1/3, -1/4, 0
Suppose -5*t + 8 = q, -5*t + 5*q + 8 = -12. Let y be 16/(-12)*153/(-12) - 1. Factor y*z**3 - 4*z**3 + 2*z - z**4 + 5*z**4 + 12*z**2 + t*z.
4*z*(z + 1)**3
Let m(c) be the third derivative of -c**7/210 - 23*c**6/120 - 2*c**2 + c. Find k, given that m(k) = 0.
-23, 0
Let t(m) be the second derivative of -m**4/24 - 3*m**3/2 - 8*m**2 - 2*m - 31. Factor t(g).
-(g + 2)*(g + 16)/2
Let n(x) be the second derivative of 9*x**5/50 + 7*x**4/20 - 7*x**3/2 - 9*x**2/5 + 239*x - 1. What is m in n(m) = 0?
-3, -1/6, 2
Let c(w) = -2*w**2 + 21*w - 5. Let p be c(10). Factor -2 + 3 + 5*h - 1 + p*h**2.
5*h*(h + 1)
Let g(k) be the third derivative of -k**6/120 - k**5/20 - k**4/12 + 2*k**2 + 51*k. Factor g(q).
-q*(q + 1)*(q + 2)
Let x(t) be the first derivative of -20/3*t**3 - 5/2*t**4 + 5*t + 3*t**5 + 5 + 5*t**2. Suppose x(a) = 0. Calculate a.
-1, -1/3, 1
Let s be (-75)/20*-1 + (-1)/(-4). Let p(y) be the first derivative of 27/5*y - 27/10*y**2 - 1/20*y**4 + 3/5*y**3 + s. Factor p(c).
-(c - 3)**3/5
Factor 27 + 8*r - 38*r + 11*r**2 + 10*r**2 - 30*r**2 + 12*r**2.
3*(r - 9)*(r - 1)
Let u(o) be the first derivative of 3*o**4/4 + o**3 - 3*o**2/2 - 3*o + 7. Factor u(p).
3*(p - 1)*(p + 1)**2
Factor 3*u**3 - 18*u + 21/2 + 9/2*u**2.
3*(u - 1)**2*(2*u + 7)/2
Let r(a) be the third derivative of 0*a + 0*a**3 - 1/120*a**6 - 1/150*a**5 + 0*a**4 - 1/1680*a**8 - 2/525*a**7 - 26*a**2 + 0. Factor r(v).
-v**2*(v + 1)**2*(v + 2)/5
Suppose -4*v + 76 = 4*f - 24, -3*v + 4*f = -103. Let z = v - 27. Factor -7/2*j + 1/2*j**5 + 1 + 4*j**z - j**3 - j**4.
(j - 1)**4*(j + 2)/2
Let g = 158/57 + -40/19. Determine z, given that g + 2/3*z**2 + 4/3*z = 0.
-1
Let m(v) = v**3 - v**2 - 113*v + 37. Let d be m(11). Factor -2/3*k**d + 0 + 0*k - 2/9*k**2 + 2/3*k**3 + 2/9*k**5.
2*k**2*(k - 1)**3/9
Let y be (4 + (6 - 8))/5. Let m(l) be the first derivative of -4 - y*l + 1/15*l**3 - 1/10*l**2. Let m(d) = 0. What is d?
-1, 2
Determine j, given that 10*j + 1/2*j**2 - 69/2 = 0.
-23, 3
Let s = -1/28 + 43/28. Let x be (2 + 76/(-34))/(138/(-1173)). Determine m, given that m - s + 1/2*m**x = 0.
-3, 1
Let k = -109861/4 + 27467. Let 3/4*i**2 - 1/2*i + k*i**4 + 3*i**3 + 0 = 0. What is i?
-1, 0, 2/7
Let n(q) = -q**3 - 8*q**2 - 3*q + 30. Let v = -100 + 93. Let k be n(v). Determine d, given that 2/7*d**k - 8/7*d + 6/7 = 0.
1, 3
Factor 58*i - 5*i**3 - 277*i - 48*i**2 + 3*i**3 - 347 + 77 - i**3.
-3*(i + 2)*(i + 5)*(i + 9)
Suppose 2*m - 14 = -b - 4, 2*b - 25 = -5*m. Let y(l) be the third derivative of 0*l**4 - m*l**2 + 0 - 1/90*l**5 + 0*l**3 + 0*l. Factor y(r).
-2*r**2/3
Let m = -6738/35 + 1370/7. Solve -64/5*j**2 + 64/5*j**4 + m*j + 12/5*j**3 + 0 - 28/5*j**5 = 0 for j.
-1, 0, 2/7, 1, 2
Suppose 3*y + 1 = 10. Suppose 56 = m + 21. Find w, given that 6*w**2 - 21*w**3 + 3*w + m*w**y - 17*w**3 - 6 = 0.
-1, 1, 2
Let c(r) be the second derivative of 0 - 5/6*r**4 + 0*r**2 + 5/6*r**3 + 1/4*r**5 + 23*r. What is i in c(i) = 0?
0, 1
Let r(a) be the first derivative of 4*a**3/3 - 2*a**2 - 24*a - 66. Factor r(z).
4*(z - 3)*(z + 2)
Let j(i) be the second derivative of -i**5/15 + 2*i**4/9 + 2*i**3/3 - 2*i - 71. Solve j(v) = 0.
-1, 0, 3
Let k(j) be the second derivative of -j**6/70 + 6*j**5/35 - j**4/4 - 62*j - 3. Suppose k(b) = 0. What is b?
0, 1, 7
Let u(w) = w**2 + 11*w + 4. Let s be u(-11). Suppose s*p - 21 = -9. Suppose -a**2 - 3 + p = 0. What is a?
0
Let u = -156 + 156. Factor u*j**3 + 0 + 0*j**4 + 0*j + 2/15*j**5 + 0*j**2.
2*j**5/15
Suppose -4*y + 12 = -p, -4*y + 7*p + 28 = 2*p. Find i, given that 2*i**2 + 2 + 6*i - 14*i + 7*i - 3*i**y = 0.
-2, 1
Let a = 9 - 8. Suppose 67*d**4 - 14*d - a + 53*d**4 - 60*d**2 - 50*d**3 + 5*d**4 = 0. What is d?
-1/5, 1
Let n(s) be the second derivative of 0*s**4 + 0*s**6 + 0 - 4*s - 3/10*s**5 + 1/14*s**7 + 1/2*s**3 + 0*s**2. Solve n(k) = 0 for k.
-1, 0, 1
Suppose -2*a - 5*r = -7, a - 31 = -a + 3*r. Suppose 13*l = a*l + 4. What is j in 0*j**3 - 2/3 - 2/3*j**4 + 0*j + 4/3*j**l = 0?
-1, 1
Let g(i) = 7*i + 19. Let n be g(-2). Let h(k) be the third derivative of 0*k**4 - 1/20*k**n + 1/2*k**3 + 0 + 0*k - 4*k**2. Determine b, given that h(b) = 0.
-1, 1
Let t(l) be the third derivative of l**7/42 - l**6/120 - 3*l**5/10 + l**2 - 642*l. Suppose t(p) = 0. What is p?
-9/5, 0, 2
Let l(t) = t**2 + t + 1. Let f(u) = -3*u**3 + 18*u**2 - 16*u + 12. Let h be 2 - (-4 + 5)/1. Let y(x) = h*f(x) - 4*l(x). Let y(c) = 0. Calculate c.
2/3, 2
Suppose -6/5*v**3 + 0 + 0*v + 1/5*v**4 + v**2 = 0. What is v?
0, 1, 5
Let f = 2/2451 + 2411/49020. Let k(z) be the third derivative of 8*z**3 + 0*z - z**4 + 3*z**2 + f*z**5 + 0. Determine m so that k(m) = 0.
4
Let w(s) be the second derivative of -s**6/1260 - s**5/70 + 5*s**3/3 - 21*s. Let r(x) be the second derivative of w(x). Factor r(n).
-2*n*(n + 6)/7
Let m(c) = -c - 1. Let g(k) = -9*k**2 - 2*k + 7. Let p(j) = g(j) - 6*m(j). Let u(f) = 4*f**2 - 2*f - 6. Let l(t) = 3*p(t) + 7*u(t). Find n such that l(n) = 0.
-1, 3
Let z(w) be the first derivative of w**6/120 - w**4/2 + 23*w**3/3 - 36. Let r(s) be the third derivative of z(s). Let r(p) = 0. Calculate p.
-2, 2
Let a = 146741/45855 - 1/9171. Factor 1/5 + 8/5*j + a*j**2.
(4*j + 1)**2/5
Factor 75/7*f**2 + 3/7*f**4 + 0 - 30/7*f**3 + 0*f.
3*f**2*(f - 5)**2/7
Suppose -45*c + 50*c = 0. Let n(d) be the third derivative of -3/8*d**3 + 7*d**2 - 1/16*d**4 + c + 0*d - 1/240*d**5. Factor n(i).
-(i + 3)**2/4
Let 1/2*d**5 + 2 - 1/2*d**3 + 0*d - 7/2*d**2 + 3/2*d**4 = 0. Calculate d.
-2, -1, 1
Let t be 11 - (-2 + (-693)/(-55)). Factor -9/5*g**3 + t*g + 7/5*g**2 + 0.
-g*(g - 1)*(9*g + 2)/5
Let d(j) be the second derivative of 0 - 13*j + 1/10*j**5 - 1/3*j**3 - 1/30*j**6 + 0*j**2 + 1/12*j**4. Determine x so that d(x) = 0.
-1, 0, 1, 2
Let l(w) = -2*w**5 - 8*w**4 + 5*w**3 - 5*w. Let x(g) = 9*g**5 + 30*g**4 - 21*g**3 + 21*g. Let b(v) = 21*l(v) + 5*x(v). Factor b(j).
3*j**4*(j - 6)
Let t(v) = v**2 + 1. Let x(c) = 2*c**4 - 10*c**3 + 20*c**2 - 8*c + 4. Let k(m) = -4*t(m) + x(m). Factor k(d).
2*d*(d - 2)**2*(d - 1)
Let y(d) be the second derivative of -d**7/2016 + d**5/96 - 11*d**4/12 + 9*d. Let k(u) be the third derivative of y(u). Determine o, given that k(o) = 0.
-1, 1
Let u(t) be the second derivative of t**7/147 + 34*t**6/105 - t**5/2 - 127*t. Factor u(f).
2*f**3*(f - 1)*(f + 35)/7
Let 42/5*i**2 - 4/5 - 38/5*i = 0. Calculate i.
-2/21, 1
Let q(x) = x**3 - 18*x**2 + 2*x - 33. Let r be q(18). Let -h**r + 301*h - 301*h + h**2 = 0. Calculate h.
0, 1
Let h = -78744 - -705478/9. Let m = h - -358. Determine z, given that 0 - m*z**2 + 2/9*z = 0.
0, 1/2
Let y = 117 - 112. Suppose -y*v - 12 = -9*v. Factor 4/9*o**v - 4/9*o + 2/3*o**2 + 0.
2*o*(o + 2)*(2*o - 1)/9
Factor 5/2*p + 3*p**2 + 0 + 1/2*p**3.
p*(p + 1)*(p + 5)/2
Let 1 + n - 84*n**5 + 19*n**3 - 14*n**2 + 89*n**5 + 7*n**3 + 0*n**4 - 19*n**4 = 0. What is n?
-1/5, 1
Let k(x) = -9*x**4 + 36*x**3 - 100*x**2 + 103*x - 35. Let a(r) = 10*r**4 - 36*r**3 + 100*r**2 - 102*r + 34. Let v(m) = -5*a(m) - 6*k(m). Factor v(b).
4*(b - 5)*(b - 2)*(b - 1)**2
Suppose 0 = -23*r + 96*r + 1 - 1. Factor r - 2/9*n**3 + 0*n + 2/9*n**4 + 0*n**2.
2*n**3*(n - 1)/9
Let t(p) be the second derivative of -p**6/135 + 7*p**4/54 + 2*p**3/9 + 2*p - 59. Factor t(k).
-2*k*(k - 3)*(k + 1)*(k + 2)/9
Suppose 0 = 106*g - 100*g. Let f(p) be the first derivative of 0*p**2 + 0*p**3 - 1/25*p**5 + g*p - 8 - 1/15*p**6 + 1/20*p**4. Solve f(b) = 0.
-1, 0, 1/2
Let a(i) be the third derivative of 5*i**8/336 + 5*i**7/21 + 11*i**6/8 + 10*i**5/3 + 10*i**4/3 + 147*i**2. Solve a(m) = 0 for m.
-4, -1, 0
Let r be ((-7)/(-14))/(-1)*-4. Let p(g) be the second de