tive of n(b). Factor o(t).
4*(t - 5)**2/3
Let i = -9/7 - -115/84. Let a(l) be the second derivative of -l**3 - 9/2*l**2 - i*l**4 + 0 - 5*l. Find j, given that a(j) = 0.
-3
Let t(z) = 1341*z - 9384. Let y be t(7). Factor 1/4*i**4 + 0*i**2 - 1/4*i**5 + 1/2*i**y + 0*i + 0.
-i**3*(i - 2)*(i + 1)/4
Let y(p) = 2*p**3 - 5*p**2 + 11*p + 3. Let v(i) = 2*i**3 - 4*i**2 + 12*i + 4. Let u be -2 + 6 + (-1)/1. Let d(x) = u*v(x) - 4*y(x). Solve d(l) = 0.
0, 2
Let b(n) be the second derivative of 0 + 0*n**2 - 1/3*n**6 + 0*n**3 - 5/42*n**7 + 6*n + 1/4*n**5 + 5/6*n**4. Determine t, given that b(t) = 0.
-2, -1, 0, 1
Let k(g) be the third derivative of -g**8/1680 + 8*g**7/525 - 7*g**6/60 - g**5/3 + 275*g**4/24 - 250*g**3/3 - 464*g**2. Factor k(v).
-(v - 5)**4*(v + 4)/5
Let u be 9/(-2)*2/(-9). Factor 4 - u + 1 + 4 + 6*w**2 + 12*w + w**3.
(w + 2)**3
Find v, given that -24*v - 41*v - 49*v**2 - 25 + 9*v + 9 = 0.
-4/7
Let m be 2/((-132)/194) - -3. Let z(v) be the first derivative of -m*v**3 + 0*v**2 - 5 + 8/11*v. Solve z(y) = 0 for y.
-2, 2
Let i(d) be the first derivative of d**6/20 + 3*d**5/20 + d**4/8 + 2*d - 3. Let s(v) be the first derivative of i(v). Solve s(j) = 0.
-1, 0
Let u be (-56)/(-20)*124/248. Suppose 6/5*h - u + 1/5*h**2 = 0. Calculate h.
-7, 1
Suppose z = 25 + 44. Suppose -11*q + 9*q = -18. Determine h, given that 10*h + z*h**3 - 6 - 21*h**4 - 5*h + 25*h - 81*h**2 + q*h = 0.
2/7, 1
Find l, given that 0*l**3 + 2*l**3 - 3*l**3 + 155*l**2 + 0*l**3 - 9*l - 149*l**2 = 0.
0, 3
Let x(b) be the first derivative of -5*b**6/6 - 7*b**5 - 20*b**4 - 20*b**3 - 70. Factor x(q).
-5*q**2*(q + 2)**2*(q + 3)
Let w = 74 - 72. Factor 6 + 13*p + 2*p**w - 10*p + 5*p.
2*(p + 1)*(p + 3)
Let d be 7/3 + 18/27. Let j be d + (-5)/(-10)*-2. What is r in 2/3 - 2/3*r + 1/6*r**j = 0?
2
Let h(j) = j**3 - 15*j**2 + 53*j + 10. Let s be h(6). Factor -2/11*w + 2/11*w**s + 0 + 2/11*w**3 - 2/11*w**2.
2*w*(w - 1)*(w + 1)**2/11
Let x(d) be the first derivative of -d**6/12 + d**5/10 + 3*d**4/8 - 5*d**3/6 + d**2/2 - 176. Factor x(c).
-c*(c - 1)**3*(c + 2)/2
Let s = -620 + 622. Let m(z) be the first derivative of -7 - 2/3*z**3 + 2*z**s - 2*z. Factor m(c).
-2*(c - 1)**2
Let z(l) be the third derivative of -l**9/141120 + l**8/23520 - l**7/11760 + l**5/4 - 3*l**2. Let r(v) be the third derivative of z(v). Factor r(i).
-3*i*(i - 1)**2/7
Let 0 + 2/3*o**4 - 2*o**3 + 8/3*o + 0*o**2 = 0. What is o?
-1, 0, 2
Find p such that -42/13*p - 16/13*p**2 - 2/13*p**3 - 36/13 = 0.
-3, -2
Let s(b) = 2*b**4 + 8*b**3 + 9*b**2 - 8*b - 6. Let j(k) = -k**4 - 4*k**3 - 4*k**2 + 4*k + 3. Let o(v) = -5*j(v) - 2*s(v). Factor o(d).
(d - 1)*(d + 1)**2*(d + 3)
Let j(d) be the third derivative of 1/5*d**5 - 8/3*d**3 + 0 + 0*d**4 + 0*d + 1/30*d**6 + 12*d**2. Factor j(q).
4*(q - 1)*(q + 2)**2
Let l(n) = -8*n**2 + 3*n - 3. Let r(q) be the first derivative of 5*q**2 - 11 - 25/3*q**3 - 10*q. Let s(c) = -10*l(c) + 3*r(c). Let s(m) = 0. Calculate m.
0
Suppose 3*y = -2*y + 1250. Let g = y - 248. Let 1/5*f**g - 1/5*f + 0 = 0. Calculate f.
0, 1
Let y = -1607/6 - -268. Let o(g) be the second derivative of 1/8*g**4 + 1/20*g**5 + y*g**3 + 5*g + 1/8*g**2 + 0 + 1/120*g**6. Find s, given that o(s) = 0.
-1
Let v(s) = -s**3 + 10*s**2 + 2*s - 18. Let m be v(10). Let t be 3/(-9)*(-1)/2*m. Let 1/3*h**3 - 1/3*h**2 - t*h + 1/3 = 0. What is h?
-1, 1
Let r(t) be the first derivative of -t**3/6 - 79*t**2/4 - 39*t + 452. Factor r(h).
-(h + 1)*(h + 78)/2
Let o be ((-2)/(-50)*(-735)/(-49))/3. Factor 2/5*l - 3/5 + o*l**2.
(l - 1)*(l + 3)/5
Let z = -134 - -139. Let i(n) be the third derivative of -1/3*n**3 + 1/30*n**z - 5*n**2 + 0*n - 1/12*n**4 + 1/60*n**6 + 0. Suppose i(x) = 0. Calculate x.
-1, 1
Suppose -2*l = -9*l + 777. Factor -818*d**4 - 612*d**4 - l*d**2 + 5*d - 149*d**2 + 605*d**5 + 1065*d**3 + 15*d.
5*d*(d - 1)**2*(11*d - 2)**2
Suppose 0 = k - 4*v - 10, 6*k - 4*v = 2*k + 16. Suppose -5*x + 97*x**3 + 165*x**k + 24*x**3 + 4 + 14*x + 39*x = 0. Calculate x.
-1, -2/11
Let h(i) be the second derivative of -i**9/16632 + i**7/4620 + 3*i**3/2 + 13*i. Let y(s) be the second derivative of h(s). Let y(f) = 0. Calculate f.
-1, 0, 1
Let q(t) = -8*t**4 + 40*t**3 - 32*t**2 + 4*t. Let a(s) = -s**4 + 4*s**3 + s**2 + s. Let x(p) = -4*a(p) + q(p). Factor x(g).
-4*g**2*(g - 3)**2
Factor -2*r**2 + 20*r**2 + 5*r + 0*r - 13*r**2.
5*r*(r + 1)
Let h(c) be the second derivative of -c**7/168 + 7*c**6/120 - c**5/8 - 3*c**4/8 + 9*c**3/8 + 27*c**2/8 - 51*c. Factor h(u).
-(u - 3)**3*(u + 1)**2/4
Let u(g) be the first derivative of -23 - 5/24*g**4 + 5/3*g + 5/12*g**2 - 5/6*g**3 + 1/6*g**5. Factor u(f).
5*(f - 2)*(f - 1)*(f + 1)**2/6
Let d(n) = n**2 - 15*n + 5. Let g be d(15). Let y(q) = -q + 9. Let p be y(7). Factor -24*t + 12*t**2 + 12*t**4 - 7 + 22*t**3 + 2*t**g - 8*t**p - 9.
2*(t - 1)*(t + 1)*(t + 2)**3
Let l(k) be the second derivative of 2/17*k**2 + 0 + 26*k - 1/170*k**5 + 1/51*k**3 - 1/51*k**4. Solve l(a) = 0.
-2, -1, 1
Let n(x) = -x**3 + 8*x**2 + 6*x - 2. Let g be n(4). Let y(k) = -k**3 - k**2 - k + 1. Let a be y(-1). Solve g - 74 - i - 6*i - 3*i**2 - a*i = 0 for i.
-4, 1
Suppose -13 - 19 = -8*d. Suppose -3*t + d*t = -5*t. What is i in 1/5*i**2 + t + 1/5*i = 0?
-1, 0
Factor 156*i**4 - 5*i**3 - 5*i**3 - 151*i**4.
5*i**3*(i - 2)
Let s(u) be the second derivative of u**7/98 - 2*u**6/35 + 9*u**5/140 + u**4/7 - 2*u**3/7 - 62*u. Let s(c) = 0. Calculate c.
-1, 0, 1, 2
Solve 7*j**2 - 15*j**2 + 7*j**2 - 114*j + 3*j**2 = 0.
0, 57
Let y(n) = 82*n**3 + 183*n**2 + 102*n + 4. Let l(a) = 83*a**3 + 182*a**2 + 103*a + 6. Let q(c) = 3*l(c) - 2*y(c). Find v such that q(v) = 0.
-1, -2/17
Let s(t) be the second derivative of t**7/4410 - t**6/504 + t**5/210 + 9*t**4/4 + 22*t. Let n(z) be the third derivative of s(z). Determine f so that n(f) = 0.
1/2, 2
Factor -1/4*x**2 + 0 - 1/2*x.
-x*(x + 2)/4
Determine o so that 2/11*o**4 + 0*o**2 - 2/11 + 4/11*o - 4/11*o**3 = 0.
-1, 1
Let f(l) be the second derivative of -l**5/100 - l**4/60 + 17*l**3/15 - 28*l**2/5 + 40*l + 1. Factor f(o).
-(o - 4)*(o - 2)*(o + 7)/5
Let s be 0/(3 - 1)*-1. Let i(m) be the third derivative of 0 + 0*m**4 + 0*m**3 + 1/30*m**5 - 4/105*m**7 - m**2 + 1/20*m**6 + s*m. Let i(l) = 0. Calculate l.
-1/4, 0, 1
Factor -77/10*z - 1/10*z**3 - 4*z**2 - 19/5.
-(z + 1)**2*(z + 38)/10
Let m(a) = a**3 + 34*a**2 - 36*a + 16. Let x(u) = -u**3 - 37*u**2 + 35*u - 15. Let h(f) = 6*m(f) + 5*x(f). Suppose h(n) = 0. Calculate n.
-21, 1
Let l = 478 - 474. Let f(q) be the first derivative of 2 - 39/4*q**2 - 3*q - 12*q**3 - 27/8*q**l. Find g such that f(g) = 0.
-2, -1/3
Let w(v) be the second derivative of v**4/20 - 13*v**3/5 + 507*v**2/10 - 62*v. Let w(c) = 0. What is c?
13
Factor -33*m - 115 - 3*m**2 + 198 + 97.
-3*(m - 4)*(m + 15)
Suppose -5*n = 4*i - 17, 3*i = 3*n - 3 + 9. Suppose -3*q - n = y, 3*y - 33 = -q + 4*q. Factor -34 - 24*p - 10 - 4*p**2 + y.
-4*(p + 3)**2
Let w(g) be the third derivative of -g**8/8400 + g**6/450 + g**3/2 - 20*g**2. Let b(v) be the first derivative of w(v). Factor b(o).
-o**2*(o - 2)*(o + 2)/5
Let a be (64/(-60)*1)/((-6)/5). Let s = 5/8 - -17/24. Solve 2/9*q + a*q**2 + s*q**3 + 2/9*q**5 + 0 + 8/9*q**4 = 0 for q.
-1, 0
Suppose 2*k = -k + 51. Suppose -h = -x - 4*h + k, -h + 5 = 0. Find s, given that -1/4*s**x + 1/4*s**3 + 0 + 1/4*s**4 - 1/4*s**5 + 0*s = 0.
-1, 0, 1
Solve 4*p**2 - 5*p - 13*p - 31 + 4*p**3 - 22*p - 54*p + 117*p**2 = 0 for p.
-31, -1/4, 1
Let x = 1463/9 + -162. Let m(r) be the first derivative of 2/45*r**5 + 32/9*r - 40/9*r**2 + 22/9*r**3 - x*r**4 + 8. Factor m(v).
2*(v - 4)**2*(v - 1)**2/9
Let m(j) be the first derivative of -30*j**6 - 552*j**5/5 + 4*j**4 + 56*j**3 + 18*j**2 + 268. Find x such that m(x) = 0.
-3, -1/3, 0, 3/5
Let n(z) be the third derivative of z**8/3920 - z**6/840 - 5*z**3/6 + 18*z**2. Let b(l) be the first derivative of n(l). Factor b(u).
3*u**2*(u - 1)*(u + 1)/7
Let a(r) be the second derivative of -r**7/231 + r**6/165 + 3*r**5/110 - 5*r**4/66 + 2*r**3/33 - 12*r - 4. Factor a(k).
-2*k*(k - 1)**3*(k + 2)/11
Let t(f) = f**2 + 8*f - 30. Let o be t(3). Let y(v) be the second derivative of 5*v - 2/15*v**o + 1/30*v**4 + 0 + 0*v**2. Determine s so that y(s) = 0.
0, 2
Suppose -1950 - 2*t**5 + 2*t**5 + 11554 - 9796*t**2 - 4408*t**3 - 2*t**5 + 192*t**4 + 1464*t + 2946*t = 0. What is t?
-2, -1, 1, 49
Let w