+ 5 - -202*(-1)/(-8). Let g = m + -28. Factor 1/2 - 3/4*u + g*u**2.
(u - 2)*(u - 1)/4
Let g(x) be the second derivative of -x**5/5 + 13*x**4 - 338*x**3 + 4394*x**2 + 67*x. Factor g(k).
-4*(k - 13)**3
Let k(n) be the second derivative of -n**5/80 - 7*n**4/12 - 16*n**3/3 + 128*n**2 + 127*n - 2. What is b in k(b) = 0?
-16, 4
Suppose 2*s = -5*s + 49. Let -4*b - 2*b**3 - 2 + s*b + b**3 = 0. Calculate b.
-2, 1
Let x(g) = g**3 - 7*g**2 + 10*g + 1. Let u be x(5). Let r be u/(-6) + (-85)/(-204). Factor -1 - 25/4*v**2 + 19/4*v**3 + 4*v + r*v**5 - 7/4*v**4.
(v - 2)**2*(v - 1)**3/4
Let s(v) be the second derivative of v**7/273 - 2*v**6/39 - 11*v**5/130 + 43*v - 1. Suppose s(y) = 0. Calculate y.
-1, 0, 11
Let l(s) be the second derivative of 5/6*s**3 + 0 + 1/12*s**4 + 0*s**2 - 36*s. Factor l(a).
a*(a + 5)
Let k(j) be the second derivative of j**6/25 - 9*j**5/25 + 4*j**4/5 + 6*j**3/5 - 27*j**2/5 + j - 108. Find r, given that k(r) = 0.
-1, 1, 3
Let 66/13*p + 64/13 + 2/13*p**2 = 0. What is p?
-32, -1
Let r be (0/(-1))/(-3 - 0). Factor -3*l - 3*l**3 + 2*l**3 - 2 + r*l + 2*l**3.
(l - 2)*(l + 1)**2
Let t(q) be the third derivative of -2*q**7/735 + q**6/105 - q**5/105 - 22*q**2 + 1. Determine y so that t(y) = 0.
0, 1
Let b(t) be the first derivative of -11 + 7/18*t**4 + 10/27*t**3 + 0*t - 2/9*t**2. Factor b(q).
2*q*(q + 1)*(7*q - 2)/9
Suppose 4*t - 152 = -3*a, 5*t - 178 = -5*a + 72. Determine x, given that -18*x**5 + 78*x**4 + a*x**2 + 3*x - 3*x**5 - 7 - 102*x**3 + 1 = 0.
-2/7, 1
What is u in 6/7*u**2 - 6/7 - 1/7*u**3 + 1/7*u = 0?
-1, 1, 6
Let o be (1010/140 + -7)/(3/21). Factor -3/4*p**5 + 0*p**3 - o*p**2 + 3/4*p + 0 + 3/2*p**4.
-3*p*(p - 1)**3*(p + 1)/4
Suppose -11895*k = -11801*k - 188. Factor 6/5*z**k - 2/5*z**4 + 8/5*z - 8/5 - 4/5*z**3.
-2*(z - 1)**2*(z + 2)**2/5
Factor 0*m - 6/7*m**4 + 0*m**2 - 2/7*m**5 + 20/7*m**3 + 0.
-2*m**3*(m - 2)*(m + 5)/7
Let u(p) be the first derivative of 2*p**5/5 + p**4 - 2*p**3/3 - 2*p**2 + 422. Factor u(l).
2*l*(l - 1)*(l + 1)*(l + 2)
Let 0*a**3 + 3/8*a**4 + 0 + 0*a**2 + 0*a = 0. Calculate a.
0
Let j be ((-4)/(-10))/(-1) - 340/(-100). Let x(t) be the first derivative of 1/5*t**j - 6/5*t + 3/10*t**2 + 5. Factor x(s).
3*(s - 1)*(s + 2)/5
Let b(a) be the third derivative of 13/105*a**6 + 2/7*a**3 + 7/20*a**5 + 1/70*a**7 + 29*a**2 + 0*a + 0 + 19/42*a**4. What is c in b(c) = 0?
-3, -1, -2/3, -2/7
Suppose 3*y = -14 + 26. Let -6*j**y + 17*j**5 - 8*j**5 - 4*j**2 - 17*j**5 + 18*j**3 = 0. What is j?
-2, 0, 1/4, 1
Suppose 38*q**3 - 14*q**2 - 29/2*q + 6 = 0. What is q?
-12/19, 1/2
Determine a, given that -43/4*a - 11 + 1/4*a**2 = 0.
-1, 44
Suppose 6*i = -0*i + 12. Factor r**3 + 6 - 36*r + 18*r + 13*r - 2*r**i.
(r - 3)*(r - 1)*(r + 2)
Let n(g) be the third derivative of -g**9/4032 + g**8/320 - 3*g**7/224 + 3*g**6/160 - g**3/2 + 13*g**2. Let b(y) be the first derivative of n(y). Factor b(d).
-3*d**2*(d - 3)**2*(d - 1)/4
Let r(b) be the first derivative of 20*b - 35/4*b**4 + 20 + 25/3*b**3 + 40*b**2. Factor r(u).
-5*(u - 2)*(u + 1)*(7*u + 2)
Let p(t) be the second derivative of t**7/126 - 19*t**6/90 + 7*t**5/15 + 52*t**4/3 + 32*t**3 - 7*t - 6. Determine b so that p(b) = 0.
-4, -1, 0, 12
Let m be (-95)/10*(308/(-133))/11. Factor 2/17 - 2/17*p**m + 0*p.
-2*(p - 1)*(p + 1)/17
Let n be (24/28)/(2/14*-1). Let j be (-5)/(-4) + (-1)/(8/n). Find i such that -2 + j*i - 1/2*i**2 = 0.
2
Let s be 35/20 + -1 + (-13)/(-4). Let c(r) be the first derivative of 0*r - 6 + 4/3*r**3 - 3*r**2 + 1/2*r**s. Find l, given that c(l) = 0.
-3, 0, 1
Let w(y) = -182*y + 2912. Let u be w(16). Determine v so that 5/2*v**3 + 1/2*v**4 + u - 1/2*v**2 - 5/2*v = 0.
-5, -1, 0, 1
Suppose 3*j + 30 = j. Let o = j - -20. Let -o*w + w + 2*w**2 + 4*w**3 + 2*w**2 - 4 = 0. What is w?
-1, 1
Let i be 7 + -4*(-2)/(-4). Suppose 0 = p + 3*v - 9, i*v = 4*p - 8*p + 22. Suppose 3*r**2 + r**5 + 7*r**2 + 5*r**4 + 12*r**p + 5*r - 2*r**3 + 1 = 0. What is r?
-1
Let a(x) be the second derivative of 0 + 8*x - 1/5*x**3 + 1/50*x**5 - 2/15*x**4 + 18/5*x**2. Factor a(p).
2*(p - 3)**2*(p + 2)/5
Factor 3 + 0*c - 9/4*c**2 - 3/4*c**3.
-3*(c - 1)*(c + 2)**2/4
Let l be (4 - 130/30)/(5/(-6)). Let 0 + 0*a + l*a**2 - a**5 + a**3 - 2/5*a**4 = 0. Calculate a.
-1, -2/5, 0, 1
Let p(s) be the third derivative of 0*s**4 - 1/245*s**7 + 0*s + 28*s**2 + 0*s**3 + 2 - 1/210*s**6 - 1/1176*s**8 + 0*s**5. Determine v, given that p(v) = 0.
-2, -1, 0
Suppose -24 = -7*y - y. Suppose y*m + 3 = 3. Factor 4/3*r**3 + 0 - 2/3*r**4 - 2/3*r**2 + m*r.
-2*r**2*(r - 1)**2/3
Let d(s) = s**3. Let v(x) be the first derivative of x**4/4 + 2*x**3 - 21*x**2/2 + 12*x + 10. Let o(b) = -2*d(b) - v(b). Factor o(r).
-3*(r - 1)**2*(r + 4)
Let u(a) be the third derivative of 7*a**5/15 - 89*a**4/6 - 52*a**3/3 + 55*a**2 + a. Factor u(p).
4*(p - 13)*(7*p + 2)
Let m(p) be the first derivative of -1/5*p**4 + 1 + 2/15*p**3 + 0*p + 1/10*p**6 + 1/10*p**2 - 2/25*p**5. Determine o so that m(o) = 0.
-1, -1/3, 0, 1
Let p(q) be the second derivative of q**4/4 - 9*q**3 + 135*q**2/2 + q - 121. Factor p(i).
3*(i - 15)*(i - 3)
Suppose 3*r - 3*l = -327, -5*r + 0*r = 2*l + 517. Let j be (-54)/(-14) + (-15)/r. What is n in -9*n**4 + j*n - n + 6*n**3 + 3*n**5 - 3*n = 0?
0, 1, 2
Determine d so that 16 - 1/2*d**2 + 31/2*d = 0.
-1, 32
Let g be (4/3102)/(14/(-21)). Let b = 1543/4136 - g. Let 0 + 3/8*c**5 + 0*c + 3/8*c**4 - 3/8*c**2 - b*c**3 = 0. Calculate c.
-1, 0, 1
Let i be (-58)/16 + 16*(-98)/(-224). Find z such that 27/8*z**3 + i*z**4 - 27/8*z**5 - z + 1/2 - 23/8*z**2 = 0.
-2/3, 1/3, 1
Suppose 4*b - 36 = -36. Suppose b = -2*j - 5*s + 5, 2*j - 4*s + 0*s = -4. Factor j - 2/5*l**2 - 1/5*l.
-l*(2*l + 1)/5
Let v(t) = t**2 + 2*t. Suppose -2*p = -4, 0 = 4*k - 2*p - p + 2. Suppose 3*m + k + 5 = 0. Let q(n) = n**3 + n**2 - n. Let a(c) = m*v(c) - 2*q(c). Factor a(w).
-2*w*(w + 1)**2
Let f(z) be the second derivative of z**4/18 - 130*z**3/9 + 4225*z**2/3 - 164*z. Let f(r) = 0. Calculate r.
65
Let q(i) be the first derivative of -2*i**6/15 + 3*i**5/25 + 41*i**4/20 - 2*i**3/5 - 10*i**2 - 24*i/5 - 102. Let q(s) = 0. What is s?
-2, -1/4, 2, 3
Let m(f) be the first derivative of -2*f**3/21 + 5*f**2/7 + 4*f + 204. Determine q, given that m(q) = 0.
-2, 7
Let p(l) = 7*l**2 - 24*l. Let j(z) be the third derivative of z**5/20 - z**4/2 + 14*z**2. Let i(g) = 13*j(g) - 6*p(g). Factor i(k).
-3*k*(k + 4)
What is i in -3*i**3 - 634*i**2 - 10641*i - 15441*i + 4263*i - 31248*i - 164*i**2 = 0?
-133, 0
Let w(s) be the third derivative of 0*s - s**2 - 1/39*s**3 + 0 - 6/65*s**5 + 1/13*s**4. Factor w(p).
-2*(6*p - 1)**2/13
Let o = 911 - 909. Let p(w) be the first derivative of -1/3*w**3 - 2 - o*w + 3/2*w**2. Factor p(j).
-(j - 2)*(j - 1)
Suppose -3*f - 4*x + 30 = 0, -6 = -3*f + 2*x + 24. Suppose -5*v + f = -5. Factor t**2 + 3*t**3 + 4*t**3 - 6*t**v.
t**2*(t + 1)
Let l(c) be the second derivative of c**6/6 - 3*c**5/4 - 25*c**4/12 + 5*c**3/2 + 10*c**2 + 86*c. Factor l(y).
5*(y - 4)*(y - 1)*(y + 1)**2
Let n(d) be the second derivative of -d**4/6 + 14*d**3/3 - 49*d**2 - d - 6. Factor n(r).
-2*(r - 7)**2
Let h(z) be the first derivative of z**2/2 + 5*z - 6. Let k be h(-3). Determine b so that 10 + 26*b**k + 2 - 3*b - 11*b**2 - 33*b = 0.
2/5, 2
Let y(s) = 4*s**3 + 4*s**2 - 2*s - 5. Let x(a) = -a**3 - 1. Let v(f) = 3*x(f) + y(f). Let n be v(-4). Factor 0*t**2 + n*t + 1/3*t**4 + 1/3*t**3 + 0.
t**3*(t + 1)/3
Factor 4/9*q**2 + 0 + 14/9*q.
2*q*(2*q + 7)/9
Let v be 0 - 0/(-19 + 5). Determine x so that 2*x + v + 4/3*x**2 - 2/3*x**3 = 0.
-1, 0, 3
Find v, given that -31*v**2 - 28*v**3 + 52 - 33*v**2 - 4*v**4 - 48*v - 52 = 0.
-3, -2, 0
Let q(t) be the first derivative of -t**3/3 - t + 23. Let r(h) = -5 - 4*h**3 + 7*h**3 + h**2 - 15*h**2 + 6*h. Let k(f) = -5*q(f) + r(f). Factor k(w).
3*w*(w - 2)*(w - 1)
Suppose -42*s - 45 = -45*s. Factor -6*y**3 + 3*y**4 + 5*y**4 + s*y**3 - 4*y**5 - 13*y**3.
-4*y**3*(y - 1)**2
Let o(q) = -98*q**2 - 60*q - 4. Let s(h) = -3 - 1 + 1 - 98*h**2 - 61*h. Let y = 73 + -78. Let b(f) = y*o(f) + 4*s(f). Factor b(d).
2*(7*d + 2)**2
Let w(h) be the first derivative of h**7/42 + h**6/6 + h**5/4 - 5*h**4/6 - 10*h**3/3 + 15*h**2/2 + 6. Let o(r) be the second derivative of w(r). Factor o(z).
5*(z - 1)*(z + 1)*(z + 2)**2
Factor 1/2*a**3 - 3*a - 4 + 3/2*a**2.
(a - 2)*(a + 1)*(a + 4)/2
Let k(m) be the secon