*m - j - 1, 2*j = -2. Suppose 3 - 3 = 9*i. Factor m*g - 2/7*g**2 - 5/7*g**3 + i.
-g**2*(5*g + 2)/7
Suppose o = 3*p + 9, 47*o - p = 42*o + 3. Factor 2 + o*m**2 + 1/2*m**3 - 2*m - 1/8*m**4.
-(m - 2)**3*(m + 2)/8
Let h(b) be the second derivative of b**5/190 + b**4/57 + b**3/57 + 3*b + 3. Factor h(m).
2*m*(m + 1)**2/19
Suppose 4*r + 4 = -4*v, -3*v = -0*r - 3*r - 9. Let g be (r + 30/12)/(10/4). Factor 2/5*f**3 + 3/5*f**2 + 4/5 - g*f**4 - 8/5*f.
-(f - 2)*(f - 1)**2*(f + 2)/5
Let q be 12/(-210)*5 - 264/(-42). Let p(u) be the first derivative of 0*u - 4/3*u**3 + 4*u**2 - q. Determine s, given that p(s) = 0.
0, 2
Let s be 3 + 9/(-11) - (-2)/(-11). Let a(n) = n**2 - n. Let h be a(-1). Find m such that 3*m - 32*m**2 - m**3 + 18*m**s - h + 14*m**2 = 0.
-2, 1
Let r(i) be the third derivative of -i**10/166320 + i**8/18480 - i**6/3960 - 5*i**4/24 - 2*i**2. Let v(q) be the second derivative of r(q). Solve v(a) = 0.
-1, 0, 1
Let o be 4 - (0/1 - 2)*1. Suppose 4*d - 18 = -2*m, 2*d = 5*m - 3 - o. Suppose s**2 + 1/2*s + 0 + 1/2*s**d = 0. Calculate s.
-1, 0
Let p(y) be the third derivative of 1/1020*y**6 + 0*y + 1/102*y**4 - 1/102*y**5 + 0 + 8/51*y**3 + 41*y**2. Factor p(s).
2*(s - 4)*(s - 2)*(s + 1)/17
Let b = 277/1611 + 9/179. Suppose 0 + 10/9*f**3 - b*f**5 + 2/3*f**2 + 0*f + 2/9*f**4 = 0. Calculate f.
-1, 0, 3
Let f = 754/465 + -2/93. Suppose a + m = -2, -a - 2*a - m - 2 = 0. Determine x, given that 0*x**2 - 4/5*x + a + 12/5*x**3 - f*x**4 = 0.
-1/2, 0, 1
Let z(s) be the third derivative of 5*s**7/84 + s**6/8 - 37*s**5/40 + 17*s**4/12 - s**3 + 7*s**2 + 2. Determine v, given that z(v) = 0.
-3, 2/5, 1
Let j(g) be the third derivative of -g**5/20 - 5*g**4/8 - 2*g**3 + 198*g**2. What is k in j(k) = 0?
-4, -1
Suppose 2*u - 16 = 8. Let t be (-2 + 26/u)*15/20. Factor 0*g**4 - t*g**5 + 3/8*g**3 + 0 + 0*g + 1/4*g**2.
-g**2*(g - 2)*(g + 1)**2/8
Let f be (-6)/(-9)*(-54)/(-90). Suppose -2*w + 2 = -2. Factor -f*y + 2/5*y**w - 4/5.
2*(y - 2)*(y + 1)/5
Determine q, given that -12 + 9*q - 3/2*q**3 + 9/2*q**2 = 0.
-2, 1, 4
Suppose 2*p = 5*w + 6, 5*w - 4*p = -10 - 2. Let b(l) be the second derivative of 0*l**4 - 1/20*l**6 + w + 0*l**3 + 0*l**2 - 1/40*l**5 + l. Factor b(d).
-d**3*(3*d + 1)/2
Let v be (-7)/(-42) + (-22)/(-12). Let l(n) be the second derivative of 7*n + 4/5*n**5 - 4*n**v - 2*n**3 + 0*n**6 + 2/3*n**4 + 0 - 2/21*n**7. Factor l(t).
-4*(t - 2)*(t - 1)*(t + 1)**3
Let u(s) be the first derivative of 17*s**4 - 28/3*s**3 + 1/3*s**6 + 50*s - 22/5*s**5 - 35*s**2 - 50. Suppose u(p) = 0. Calculate p.
-1, 1, 5
Let j = -17136 + 34287/2. Suppose 0*x + 0 + 15/2*x**3 - 3*x**4 - j*x**5 + 3*x**2 = 0. What is x?
-1, -2/5, 0, 1
Let n(p) be the second derivative of 5*p + 0*p**3 + 0*p**2 - 1/135*p**6 - 2/27*p**4 - 2/45*p**5 + 0. Determine l so that n(l) = 0.
-2, 0
What is u in -3*u**3 - 3*u**3 - 27*u + 7*u**3 + 25*u + u**2 = 0?
-2, 0, 1
Let a(i) be the first derivative of 5*i**3/3 - 80*i + 78. Factor a(w).
5*(w - 4)*(w + 4)
Let j be (0 - 1)/(2/(-4)). Let s = -194 + 204. Factor 13*i**2 - s*i**j + 8*i + i**2.
4*i*(i + 2)
Solve -18/7*d - 2/7*d**2 - 36/7 = 0 for d.
-6, -3
Let c(d) be the second derivative of -d**4/3 - 2*d**3/21 + 3*d + 4. Find z such that c(z) = 0.
-1/7, 0
Let y(n) be the third derivative of n**7/70 + 5*n**6/8 + 22*n**5/5 + 21*n**4/2 + 248*n**2. Factor y(q).
3*q*(q + 2)**2*(q + 21)
Let c(i) be the third derivative of -i**7/7560 - i**6/1080 - 7*i**4/24 + 5*i**2. Let f(b) be the second derivative of c(b). What is m in f(m) = 0?
-2, 0
Let x(q) be the first derivative of q**5/20 - 5*q**4/12 + 2*q**3/3 + 24*q - 6. Let j(m) be the first derivative of x(m). Factor j(y).
y*(y - 4)*(y - 1)
Let t be 1 + (-5)/(-10)*10 - 21/7. Factor 0*n**2 - 2/3*n**t + 8/9*n + 2/9*n**4 + 0.
2*n*(n - 2)**2*(n + 1)/9
Let t(m) be the second derivative of m**4/48 - 13*m**3/24 + 5*m**2 + 5*m - 17. Factor t(z).
(z - 8)*(z - 5)/4
Let f(t) be the third derivative of 5*t**8/392 - 2*t**7/245 - 3*t**6/28 + 8*t**5/35 - t**4/7 + 71*t**2. Let f(k) = 0. What is k?
-2, 0, 2/5, 1
Let y = 2202/7 + -314. Let a(g) be the first derivative of 2/21*g**3 - 1/7*g**2 + 2 - y*g. What is t in a(t) = 0?
-1, 2
Let 3 - 3 - 25*g**4 - 180*g**2 + 58*g**5 - 160*g**3 - 53*g**5 = 0. What is g?
-2, 0, 9
Suppose 11*d = 10*d + 21. Suppose -26*h + d*h + 20 = 0. Let s**3 - 1/2*s**h - 1/2*s**5 - 1/2*s + s**2 - 1/2 = 0. What is s?
-1, 1
Let r(p) be the third derivative of -p**6/210 - p**5/15 - 2*p**2 + 56. Factor r(h).
-4*h**2*(h + 7)/7
Let r be (-6)/(-30)*-299 + 6/(-10). Let g = 61 + r. Determine d, given that 2/5 + 1/5*d**2 + g*d = 0.
-2, -1
Let s(d) be the second derivative of d**2 - 2*d - 13/12*d**3 - 1/20*d**5 + 11/24*d**4 + 0. Solve s(p) = 0.
1/2, 1, 4
Let d(i) be the third derivative of -5*i**2 + 1/420*i**6 - 4/21*i**3 - 1/84*i**4 + 0 + 0*i + 2/105*i**5. Factor d(m).
2*(m - 1)*(m + 1)*(m + 4)/7
Let l(w) be the third derivative of -w**7/630 + 7*w**6/360 - 11*w**5/180 + 5*w**4/72 - 116*w**2. Determine d, given that l(d) = 0.
0, 1, 5
Let w(v) be the first derivative of 0*v - 5*v**2 + 5*v**3 - 5/4*v**4 - 41. Factor w(f).
-5*f*(f - 2)*(f - 1)
Let x(q) = -4*q**4 + 28*q**3 + 26*q**2 + 15*q. Let n(t) = t**4 - 9*t**3 - 9*t**2 - 5*t. Let y(r) = -7*n(r) - 2*x(r). Factor y(f).
f*(f + 1)**2*(f + 5)
Let m = 2869/3450 + 1/575. Let k(a) be the second derivative of a**2 + 1/20*a**5 + 0 + 1/3*a**4 + a + m*a**3. Factor k(y).
(y + 1)**2*(y + 2)
Let b(u) be the first derivative of 0*u + 44 + 10/9*u**3 + 7/18*u**4 + 2/45*u**5 + u**2. Determine f, given that b(f) = 0.
-3, -1, 0
Let j(p) be the third derivative of -p**5/30 + 29*p**4/6 - 841*p**3/3 - 16*p**2 + 1. Factor j(y).
-2*(y - 29)**2
Let g(x) be the third derivative of -x**9/4032 + x**7/1120 - 2*x**3 - 31*x**2. Let c(p) be the first derivative of g(p). Factor c(s).
-3*s**3*(s - 1)*(s + 1)/4
Let z(u) be the second derivative of 55*u**7/42 + 7*u**6 + 47*u**5/4 + 5*u**4 - 10*u**3/3 + u + 73. What is q in z(q) = 0?
-2, -1, 0, 2/11
Let b(r) be the first derivative of -28/3*r**5 + 25/9*r**6 - 16/9*r**3 + 22/3*r**4 + 0*r + 0*r**2 + 20. Let b(j) = 0. What is j?
0, 2/5, 2
Suppose 6*o + 5*z = 3*o + 6, 2*z = -5*o - 9. Let x be 12 + 0/(0 + o). Factor 10*i**4 + 2*i**3 - i**5 - i**5 - x*i**4 + 2*i**2.
-2*i**2*(i - 1)*(i + 1)**2
Suppose 0 = -a + 6*a - 10. Factor -4*q**a - 21*q + 9 + 19 - 8*q + 5*q.
-4*(q - 1)*(q + 7)
Let k be (-4)/90*(-2 + -1). Let y be (2205/(-2058)*2/(-5))/((-30)/(-28)). Solve -4/5*b**3 - 4/3*b - 8/5*b**2 - k*b**4 - y = 0 for b.
-3, -1
Let t(z) be the third derivative of -z**6/160 - 3*z**5/40 + 11*z**2 - 1. Factor t(u).
-3*u**2*(u + 6)/4
Let d(v) be the third derivative of -v**7/14 - 11*v**6/24 - 5*v**5/4 - 15*v**4/8 - 5*v**3/3 + 34*v**2 + 4. Find k such that d(k) = 0.
-1, -2/3
Let i(m) = -3*m**4 + 8*m**3 + 6*m**2 + 12*m + 5. Let g(s) = -7*s**4 + 17*s**3 + 12*s**2 + 26*s + 11. Let l(b) = -4*g(b) + 9*i(b). Factor l(d).
(d + 1)**4
Let a(c) = -c**3 - 3 + 6 - 7 + 5 - c. Let q(d) = 3*d**3 + d**2 + 6*d - 4. Let x(z) = 4*a(z) + q(z). Factor x(g).
-g*(g - 2)*(g + 1)
Let p = -3012/11 - -274. Let k = -491/3 + 5431/33. Factor 0 + 6/11*x**4 + k*x**2 + p*x + 14/11*x**3.
2*x*(x + 1)**2*(3*x + 1)/11
Factor 16*v**3 - 4*v**4 - 373*v**2 + 0*v**4 + 357*v**2.
-4*v**2*(v - 2)**2
Let p = 55 - 431/8. Let x(h) be the second derivative of 5/48*h**4 + 1/80*h**5 - 3*h + 1/8*h**3 - p*h**2 + 0. Suppose x(k) = 0. What is k?
-3, 1
Suppose 6*u - 34 = u - 3*b, 4*u - 24 = -4*b. Suppose 8 = f + 2*x, 3*f - 8*x = -6*x - u. Factor f + 0*s**4 + 0*s + 0*s**2 + 1/5*s**5 - 1/5*s**3.
s**3*(s - 1)*(s + 1)/5
Let d(w) be the second derivative of 0 - 2*w + 1/35*w**5 + 432/7*w**2 + 6/7*w**4 + 72/7*w**3. Let d(h) = 0. Calculate h.
-6
Let n(x) be the first derivative of 3*x**6/5 - 126*x**5/25 + 69*x**4/5 - 596*x**3/45 + 29*x**2/5 - 6*x/5 + 71. Solve n(o) = 0 for o.
1/3, 3
Suppose 12*w - 22*w = -8*w. Let i(m) be the second derivative of 1/120*m**5 + w + 0*m**3 + 0*m**2 - 3*m - 1/72*m**4. Determine v so that i(v) = 0.
0, 1
Suppose 5*s = -15, -3*v = -6*v + 4*s + 24. Determine c so that -2/7*c**5 + 0 - 10/7*c**v - 2*c**2 - 18/7*c**3 - 4/7*c = 0.
-2, -1, 0
Let o(i) be the second derivative of 0 - 1/56*i**7 + 9*i + 1/8*i**6 + 0*i**3 + 0*i**2 - 3/10*i**5 + 1/4*i**4. Suppose o(w) = 0. What is w?
0, 1, 2
Let t(h) be the second derivative of -2*h**6/15 + 4*