derivative of i(s). Factor k(b).
-b*(b - 1)/5
Let n = 10196 - 10194. Factor -1/2*p**4 + 3/2 - p**2 - 2*p**3 + n*p.
-(p - 1)*(p + 1)**2*(p + 3)/2
Let z be ((-2)/(-6)*2)/((-28)/(-18)). Let m = -30 + 32. Factor z + 3/7*g**m + 6/7*g.
3*(g + 1)**2/7
Let s be (2/4)/((-3)/(-30)). Let i(j) be the third derivative of 0 + 7/15*j**5 + 4/3*j**3 + 0*j + s*j**2 - 3/2*j**4. Solve i(z) = 0 for z.
2/7, 1
Let s(f) be the second derivative of 1/11*f**3 + 1/66*f**4 + 0 - 3*f + 2/11*f**2. Factor s(u).
2*(u + 1)*(u + 2)/11
Let r = 13309 + -13307. Solve 3/4*t**3 + 0*t + 3/4*t**4 + 1/4*t**r + 0 + 1/4*t**5 = 0 for t.
-1, 0
Suppose 3*h - 6 = 0, 0*h - 2*h = 5*l + 86. Let r = l - -22. Determine k, given that -3*k**3 + 2*k - 2*k + r*k - 4*k**2 - 5*k = 0.
-1, -1/3, 0
Let r(g) be the first derivative of -2*g**6/21 + 12*g**5/35 + 10*g**4/7 - 208*g**3/21 + 144*g**2/7 - 128*g/7 + 47. Find f such that r(f) = 0.
-4, 1, 2
Let n be -10*1/(-550)*5. Factor -9/11*o**2 - 4/11 - 1/11*o**3 + n*o**4 - o.
(o - 4)*(o + 1)**3/11
Let c(o) be the second derivative of o**7/1260 + 11*o**2/2 + 3*o. Let s(q) be the first derivative of c(q). Factor s(d).
d**4/6
Let p(a) = a**2 - 3*a - 1. Let c be p(4). Let l(z) be the first derivative of -5/12*z**c - 1 - 3/2*z + 17/8*z**2. Factor l(r).
-(r - 3)*(5*r - 2)/4
Let h(p) be the third derivative of p**5/390 + 11*p**4/52 - 34*p**3/39 - 131*p**2. Let h(t) = 0. What is t?
-34, 1
Let z(u) be the first derivative of -u**4 - 44*u**3/3 + 2*u**2 + 44*u + 67. Factor z(a).
-4*(a - 1)*(a + 1)*(a + 11)
Determine c, given that -38/5*c + 2/5*c**3 - 4 - 16/5*c**2 = 0.
-1, 10
Let c(a) be the second derivative of -a**4/60 - 7*a**3/30 - a**2 + 2*a + 143. Find x, given that c(x) = 0.
-5, -2
Let w be (-7 - 117/(-15))*12. Let 0 - 72/5*r**3 - 27/5*r**4 - 3/5*r**5 + 0*r - w*r**2 = 0. What is r?
-4, -1, 0
Let m(v) be the second derivative of -3*v**5/40 + 19*v**4/4 + 39*v**3/4 - 10*v - 17. Factor m(x).
-3*x*(x - 39)*(x + 1)/2
Suppose a + 4*r = 5*r, -4 = 3*a - 5*r. Factor -4*t**4 - a*t - 6*t**3 - 2*t**3 + 6*t + 10*t**2 - 2*t**4.
-2*t*(t - 1)*(t + 2)*(3*t + 1)
Let r(w) be the first derivative of -w**7/84 - w**6/60 + w**5/20 + w**4/12 - w**3/12 - w**2/4 - 4*w - 10. Let k(l) be the first derivative of r(l). Factor k(j).
-(j - 1)**2*(j + 1)**3/2
Let p(w) = w - 3. Let z be p(1). Let a be ((-12)/(-30))/(z/(-10)). Let 2/3 - b + 1/3*b**a = 0. Calculate b.
1, 2
Let q(y) = -2*y**2 + 8*y + 6. Let z(o) = -3*o**2 + 8*o + 6. Suppose 7 = 3*r + 2*t, 4*r - 32 = 6*t - 3*t. Let x(i) = r*q(i) - 4*z(i). Factor x(c).
2*(c + 1)*(c + 3)
Let w(u) = u**2 + 13*u + 10. Let n be w(-13). Suppose n = 4*a + a. Find o such that -o**2 + 3*o - 5*o + o**a + 4*o**2 - 2 = 0.
-1/2, 1
Let c(z) be the second derivative of -z**6/7 + 2*z**5/5 + 5*z**4/14 - 8*z**3/7 + 4*z**2/7 + 2*z - 70. Determine u, given that c(u) = 0.
-1, 1/5, 2/3, 2
Let b = -3394 - -3398. Factor 39/4*v**3 - 3/4*v**b + 0 - 105/4*v**2 - 147/4*v.
-3*v*(v - 7)**2*(v + 1)/4
Factor -2/9*t**3 + 0*t + 0 - 1/9*t**5 + 0*t**2 - 1/3*t**4.
-t**3*(t + 1)*(t + 2)/9
Let g be 0*((-56)/8)/(-35). Factor g + 6/5*i - 3/5*i**2.
-3*i*(i - 2)/5
Let f = 15 + -9. Suppose 2*j + 12 = f*j. Factor d - j*d**3 + 2 + 4*d**3 - 2*d**3 - 2*d**2.
-(d - 1)*(d + 1)*(d + 2)
Let i(y) be the third derivative of 0 + 14*y**2 + 0*y + 49/12*y**3 - 13/120*y**5 - 1/240*y**6 - 35/48*y**4. Determine n so that i(n) = 0.
-7, 1
Let u be 10/(-15)*(-6)/(4/2). Factor 6*q**3 + 4 - 3 + 3*q**u - 1.
3*q**2*(2*q + 1)
Let i(c) = 3*c**2 + 2*c - 2. Let r be (-6)/2*(-3)/9. Let j be i(r). What is n in -3*n**5 - 10*n**4 - 3*n**2 + 3*n**j + 10*n**4 + 3*n**4 = 0?
-1, 0, 1
Let n be 26/6 - ((-52)/6)/13. Let g(u) be the first derivative of 3/2*u**6 - 12/5*u**n + 3 + 0*u**2 + 3/4*u**4 + 0*u + 0*u**3. Factor g(d).
3*d**3*(d - 1)*(3*d - 1)
Let g(t) be the first derivative of t**4/4 - 16*t**3 + 384*t**2 - 4096*t - 112. Find w such that g(w) = 0.
16
Let a(h) = 4*h**2 + 18*h - 7. Let g be a(-5). Let 7*b**3 + 10*b**3 - 32*b**g + 12*b**3 = 0. Calculate b.
0
Let l(j) be the first derivative of j**4/2 + 42*j**3 + 182*j**2 + 240*j - 933. Factor l(z).
2*(z + 1)*(z + 2)*(z + 60)
Let p(m) = -m**2 - 2*m. Let h(i) = -5*i**2 - 121*i + 120. Let w(o) = h(o) - 2*p(o). Suppose w(u) = 0. Calculate u.
-40, 1
Let j(p) = -5*p + 17. Let q be j(3). Factor 0 - k**3 + 0 - 14*k**2 + 16*k**q.
-k**2*(k - 2)
Suppose -2*j = -5 + 1. Suppose o - j = -0. Determine f, given that 2*f**3 - 5*f + o*f**2 - 3*f + 50 - 58 = 0.
-2, -1, 2
Factor 8/9*v**3 + 4/9*v**4 - 2/9*v**5 - 16/9*v**2 + 0 + 0*v.
-2*v**2*(v - 2)**2*(v + 2)/9
Let w(s) = -s**3 - 1. Let i(v) = -12*v**3 - 15*v**2 + 57*v - 36. Let t(g) = -i(g) + 3*w(g). Factor t(y).
3*(y - 1)**2*(3*y + 11)
Let b(k) be the second derivative of -7*k**7/30 + 1043*k**6/75 - 7498*k**5/25 + 37772*k**4/15 - 39592*k**3/15 + 5488*k**2/5 - 204*k. Factor b(o).
-(o - 14)**3*(7*o - 2)**2/5
Let q(m) be the second derivative of -11*m**4/2 - 23*m**3/2 - 3*m**2/2 + 63*m. Factor q(f).
-3*(f + 1)*(22*f + 1)
Let n(h) be the second derivative of -7*h**4/12 + 4*h**3/3 + 10*h. Let l(d) = -85*d**2 + 95*d. Let b(u) = -2*l(u) + 25*n(u). Factor b(s).
-5*s*(s - 2)
Let a = -14 - -26. Suppose -3 = -a*c + 11*c. Factor -4*b**2 - 8*b**3 + c*b - b + 10*b**3.
2*b*(b - 1)**2
Let y = 225/8 + -643/24. Let n(u) be the first derivative of 5 - y*u**3 + 7/15*u**5 - 2/3*u**2 + 3/4*u**4 + 0*u. Factor n(v).
v*(v - 1)*(v + 2)*(7*v + 2)/3
Suppose 0 = -4*j, 0*j - 2*j - 19 = -a. Determine u so that -20 + 2*u**4 + a - 7 - 10*u + 10*u**3 + 6*u**2 = 0.
-4, -1, 1
Let d(s) = 4*s**3 - 9*s**2 + 33*s - 35. Let o(q) = q**3 + q**2 - q - 1. Let i(x) = d(x) - 3*o(x). Factor i(b).
(b - 8)*(b - 2)**2
Let l be (-3 - ((2 - -2) + -8))/((-15)/(-60)). What is z in -l*z**2 + 0 + 6/7*z**3 + 16/7*z = 0?
0, 2/3, 4
Let r(y) be the third derivative of y**5/50 + 2*y**4/5 - 21*y**3 + 603*y**2 - 2. Suppose r(k) = 0. Calculate k.
-15, 7
Let u(w) be the second derivative of -w**7/420 + w**6/60 - w**4/3 - 5*w**3/3 + 4*w. Let k(j) be the second derivative of u(j). Factor k(r).
-2*(r - 2)**2*(r + 1)
Suppose 5*c - 18 = 12. Let l(p) = 2*p - 5. Let g be l(c). Solve -g - 2 - 2*r**2 - r**4 + 3*r + 11 - 3*r**3 + r**2 = 0 for r.
-2, -1, 1
Factor 24*p - 8*p**4 - 32*p**4 - 9*p**2 - 12 - 6*p**3 + 43*p**4.
3*(p - 2)*(p - 1)**2*(p + 2)
Let s(g) be the second derivative of -g**6/36 - 19*g**5/24 + 35*g**4/8 - 325*g**3/36 + 55*g**2/6 + 69*g - 1. Factor s(c).
-5*(c - 1)**3*(c + 22)/6
Factor 5*s**4 - s**4 + 12*s**2 - s - s**4 + 5*s**3 - 11*s**2.
s*(s + 1)**2*(3*s - 1)
Let g = -1177 + 1179. Find y, given that 4/7*y - 4/7*y**g - 4/7*y**3 + 4/7 = 0.
-1, 1
Let m(p) be the third derivative of -5/24*p**4 + 1/3*p**3 + 15*p**2 + 0 + 1/30*p**5 + 0*p. Factor m(x).
(x - 2)*(2*x - 1)
Let b(j) be the third derivative of -5*j**8/336 + 3*j**7/35 - 11*j**6/60 + 2*j**5/15 + j**4/8 - j**3/3 - 92*j**2. Factor b(o).
-(o - 1)**4*(5*o + 2)
Let v(z) be the first derivative of -z**6/18 + 4*z**5/15 - z**4/3 - 2*z**3/9 + 5*z**2/6 - 2*z/3 - 428. Find h such that v(h) = 0.
-1, 1, 2
Let k = 203 - 200. Let r(v) be the first derivative of 98/25*v**5 + 5 + 77/10*v**4 + 4/5*v**2 + 0*v + 64/15*v**k. Solve r(x) = 0 for x.
-1, -2/7, 0
Let q(h) = h + 17. Let s be q(11). Factor -46*x**2 + 4*x + 76*x**2 - 58*x**2 - 4*x**3 + s.
-4*(x - 1)*(x + 1)*(x + 7)
Let z(i) = i**3 - 11*i**2 + 4*i - 36. Let l be z(11). Suppose l*q = q + 6*q. Factor 1/3*r - 1/6*r**2 + q.
-r*(r - 2)/6
Let s = -2562 - -2568. Let b(v) be the third derivative of 0*v**3 + 1/140*v**7 - 1/40*v**5 + 0*v + 1/16*v**4 + 0 - 1/80*v**s + 4*v**2. Factor b(x).
3*x*(x - 1)**2*(x + 1)/2
Let k(f) be the first derivative of 1/10*f**4 + 0*f**3 + 1/25*f**5 + 7 - 1/5*f**2 - 1/5*f. Find j such that k(j) = 0.
-1, 1
Determine d so that 0 + 16/11*d - 6/11*d**3 + 4/11*d**2 = 0.
-4/3, 0, 2
Let m = 99472/348201 + 2/49743. Factor 0*x + 8/7*x**4 + 4/7*x**2 + m*x**5 + 0 + 10/7*x**3.
2*x**2*(x + 1)**2*(x + 2)/7
Let o(i) be the third derivative of i**9/362880 + i**8/30240 + i**7/7560 + i**5/12 + 21*i**2. Let s(f) be the third derivative of o(f). Solve s(x) = 0.
-2, 0
Determine d, given that 6*d**4 + 13841*d**5 - 4*d**2 - 4*d**2 - 13839*d**5 = 0.
-2, 0, 1
Solve 24*w - 2*w**4 - 20*w**3 - 8*w**4 - 6*w**4 + 70*w**2 + 46*w**2 - 24*w**2 = 0 for w.
-3, -1/4, 0, 2
Let 12/7*n**5 + 0*n + 0 - 24/7*n**3 + 44/7*n**4 - 32/7*n**