e second derivative of j(h). Factor s(m).
-2*m**2/3
Let w = -4 - -6. Factor 2*j**w + j**2 - 3*j**5 + 1 - 1 + 9*j**4 - 9*j**3.
-3*j**2*(j - 1)**3
Let z(j) be the third derivative of j**7/210 + j**6/12 + 5*j**5/12 - 122*j**2. Find q such that z(q) = 0.
-5, 0
Let y = -202 + 202. Let l be (-1)/3*1*y. Factor -14/3*r**4 + 4/3*r**3 + 0 + 0*r + l*r**2.
-2*r**3*(7*r - 2)/3
Let r(x) be the third derivative of -2/3*x**3 - 1/12*x**4 - 18*x**2 - 1/240*x**5 + 0 + 0*x. Factor r(l).
-(l + 4)**2/4
Let g be (-2)/7 - (-352)/154. Let l(q) be the first derivative of 0*q - 1/3*q**3 + 1/6*q**g + 7 + 1/5*q**5 - 1/12*q**4. Solve l(p) = 0.
-1, 0, 1/3, 1
Let x(b) = 13*b**2 - 197*b + 370. Let l(k) = 7*k**2 - 98*k + 184. Let c(o) = 7*l(o) - 4*x(o). Factor c(a).
-3*(a - 32)*(a - 2)
Suppose -10*v - 12 = -14*v. Factor 5*b + b**3 - 5*b + 10 - v*b - 8.
(b - 1)**2*(b + 2)
Let z(t) be the second derivative of -1/15*t**4 + 1/15*t**7 + 0 - 33*t + 0*t**3 + 2/75*t**6 - 7/50*t**5 + 0*t**2. Solve z(s) = 0.
-1, -2/7, 0, 1
Let y(l) be the first derivative of -l**7/21 - l**6/24 + l**5/12 + 5*l**2/2 + 10. Let r(n) be the second derivative of y(n). Factor r(b).
-5*b**2*(b + 1)*(2*b - 1)
Let g(x) = -x**3 - 8*x**2 - 12*x - 15. Let n be g(-8). Let m = n + -323/4. Factor -m*q**2 + 1/2*q + 0.
-q*(q - 2)/4
Let j be 13/(-260)*(-5)/3. Let k(d) be the first derivative of 3 - j*d**3 - 1/5*d**5 + 0*d + 5/16*d**4 + 0*d**2. Factor k(r).
-r**2*(r - 1)*(4*r - 1)/4
Let m = 79533/318148 - -1/79537. Factor -1/2*c**2 + 1/2 + m*c**3 - 1/4*c.
(c - 2)*(c - 1)*(c + 1)/4
Let b(p) be the first derivative of p**7/420 + p**6/120 - p**5/40 - p**4/12 + p**3/3 + 11*p**2 - 10. Let f(q) be the second derivative of b(q). Factor f(g).
(g - 1)**2*(g + 2)**2/2
Let k(z) be the first derivative of z**5/48 + z**4/8 + z**3/6 - 5*z**2/2 - 9. Let i(s) be the second derivative of k(s). Factor i(a).
(a + 2)*(5*a + 2)/4
Let w(k) be the third derivative of -k**7/420 + k**6/80 + k**5/30 + 34*k**2 - 4*k. Factor w(r).
-r**2*(r - 4)*(r + 1)/2
Let d(r) be the third derivative of r**5/330 - 43*r**4/66 + 1849*r**3/33 - 51*r**2. Factor d(o).
2*(o - 43)**2/11
What is d in -3*d**3 + 4*d**3 + 2418 - 2418 - 5*d**2 = 0?
0, 5
Let -118 + 195 + 331 + 620*g + 12*g**2 = 0. Calculate g.
-51, -2/3
Let s(p) = -15*p**3 - 75*p**2 + 97*p + 7. Let k(r) = 10*r**3 + 50*r**2 - 65*r - 5. Let l(x) = -7*k(x) - 5*s(x). Factor l(d).
5*d*(d - 1)*(d + 6)
Let -1/4*s**5 + 1/2*s**2 + 1/4*s**3 + 0 + 0*s - 1/2*s**4 = 0. Calculate s.
-2, -1, 0, 1
Let m be 26 + -37 + (14 - -2). Let b(a) be the first derivative of -1/12*a**2 + 0*a + 1 + 1/15*a**m + 0*a**4 - 1/9*a**3 + 1/36*a**6. Let b(u) = 0. Calculate u.
-1, 0, 1
Let k(c) be the first derivative of -c**4/22 + 4*c**3/33 - c**2/11 + 9. Let k(p) = 0. What is p?
0, 1
Let x(w) be the first derivative of -w**5/15 + 7*w**4/24 - 2*w**3/9 - w**2/3 + 29. What is i in x(i) = 0?
-1/2, 0, 2
Suppose f = 5*f + y - 5, 3*y = -f + 15. Suppose -17*u + 10 = -24. Find n such that 4*n**3 - 3*n**3 + f*n**3 - u*n**3 = 0.
0
Factor -11/9*z - 7/9*z**3 - 20/9*z**2 + 2/9.
-(z + 1)*(z + 2)*(7*z - 1)/9
Let y(z) be the first derivative of -8*z**2 + 7*z**3 - 9/4*z**4 + 3 + 4*z. Factor y(k).
-(k - 1)*(3*k - 2)**2
Suppose 11*f - 40*f**2 - 100*f + 205*f**2 - 75*f**5 - 36 + 487*f**4 - 112*f**4 - 513*f**3 + 173*f = 0. Calculate f.
-2/5, 2/5, 1, 3
Factor -112*j - 104*j + 5*j**2 - 60 + 287*j - 126*j.
5*(j - 12)*(j + 1)
Let s be 16/24 - 4/6. Suppose -8*b + 9*b - 3 = s. Solve 4*h**2 + 0*h**2 - h**b - 3*h - h**2 + 1 = 0 for h.
1
Let j(p) be the third derivative of p**5/4 - 35*p**4/24 + 5*p**3/3 + 37*p**2. Factor j(q).
5*(q - 2)*(3*q - 1)
Let l(q) = -q**2 - 12*q - 20. Let b be l(-8). Find i such that b*i**3 + 4*i**2 - 8 - 4*i**4 + 8*i**4 - 12*i + 0*i = 0.
-2, -1, 1
Suppose -32*j - 24*j**5 + 63527*j**3 - 63427*j**3 - 28*j - 28*j**2 + 44*j**4 = 0. Calculate j.
-1, 0, 5/6, 3
Let t = -14 - -128/9. Let d(b) be the third derivative of -2/15*b**5 + 0*b - 1/4*b**4 - t*b**3 - 7*b**2 + 0 - 1/36*b**6. Let d(k) = 0. What is k?
-1, -2/5
Suppose -12 = -66*n + 64*n. Suppose h + n = 2, 3*p - 1 = -2*h. Solve 0*k + 0 + 1/5*k**p - 2/5*k**2 = 0 for k.
0, 2
Let h(w) be the first derivative of 5/3*w**2 + 5*w**3 + 0*w + 13 + 35/12*w**4. Suppose h(f) = 0. Calculate f.
-1, -2/7, 0
Let p(a) be the third derivative of 1/1512*a**8 + 0*a - 4/945*a**7 + 1/135*a**6 + 0 + 0*a**3 + 4*a**2 + 0*a**4 + 0*a**5. Determine c so that p(c) = 0.
0, 2
Let k be 3/9 + 22/6. Suppose k*w - 27 = -11. What is i in -1/5 + 2/5*i**3 - 1/5*i + 2/5*i**2 - 1/5*i**5 - 1/5*i**w = 0?
-1, 1
Factor 96*n**2 - 3/2*n**5 + 0 - 120*n**3 + 51/2*n**4 + 0*n.
-3*n**2*(n - 8)**2*(n - 1)/2
Let f(o) be the second derivative of -7*o**4/12 - o**3/2 + 10*o. Let t(y) = -8*y**2 - 3*y. Let l(q) = 7*f(q) - 6*t(q). Factor l(x).
-x*(x + 3)
Let q(p) = 16*p**3 - 16*p + 10. Let z(v) = -39*v + 15*v + 3 + 5*v**3 + 19*v. Let c(l) = 3*q(l) - 10*z(l). Factor c(a).
-2*a*(a - 1)*(a + 1)
Suppose -25 = -13*k + 183. Suppose 64/3*r + 32/3 + 16/3*r**3 + 2/3*r**4 + k*r**2 = 0. Calculate r.
-2
Let b(s) = 6*s**3 + 17*s**2 + 18*s. Let i(a) = 4*a**3 + 8*a**2 + 8*a. Let t(q) = 4*b(q) - 7*i(q). Factor t(m).
-4*m*(m - 4)*(m + 1)
Factor 12*v**2 - 4*v**2 + 12*v**2 + 16*v**3 + 97*v**4 - 93*v**4 + 8*v.
4*v*(v + 1)**2*(v + 2)
Suppose 0 = -3*b + 5*z + 28 + 10, 2*b - z = 23. Determine o, given that 9 - b*o + 17*o + 0 + o**2 = 0.
-3
Let o be ((-24)/(-10))/(18/(-135)). Let f = -13 - o. Solve 2*l**2 - f*l + l**2 - 9 - 5*l + 4*l = 0 for l.
-1, 3
Let i(n) be the first derivative of n**5/5 + 3*n**4/2 + 5*n**3/3 - 73. Factor i(c).
c**2*(c + 1)*(c + 5)
Suppose -10*v = -55*v + 137 + 88. Factor v*x - 10/3 - 5/3*x**3 + 0*x**2.
-5*(x - 1)**2*(x + 2)/3
Let i = 999 - 6991/7. Find k such that i*k + 0 - 2/7*k**2 = 0.
0, 1
Let u(n) be the third derivative of -529*n**6/300 + 207*n**5/50 - 8*n**4/5 + 4*n**3/15 + 661*n**2. Factor u(y).
-2*(y - 1)*(23*y - 2)**2/5
Suppose n = -3*z + 10, z + 14 = 3*z - 3*n. Factor -150 - 48*h + 146 - 184*h**2 - 14*h**z - 240*h**3 - 18*h**4 - 68*h**4.
-4*(h + 1)**2*(5*h + 1)**2
Suppose 4*y + 14 = d - 0*d, -2*d - 2*y = 2. Let a be 2 + -1 + d + -1 + 0. Factor 4/7*g**a + 2*g**3 + 0*g + 0.
2*g**2*(7*g + 2)/7
Let z = 1/161 - -479/644. Find x, given that 15/4*x + 3/2 + 3*x**2 + z*x**3 = 0.
-2, -1
Suppose 5*y + 2*n + 6 = 2*y, -6 = -2*y + 2*n. Let g(a) be the second derivative of 0*a**2 - 2/21*a**3 + 0 - 3*a + y*a**4 + 1/35*a**5. Factor g(h).
4*h*(h - 1)*(h + 1)/7
Factor -2*g**3 + 0*g - 34*g**2 + 15*g**2 + g**3 + 19 + g.
-(g - 1)*(g + 1)*(g + 19)
Let j(z) be the first derivative of -2*z**3/3 + 8*z**2 - 24*z + 397. Determine w, given that j(w) = 0.
2, 6
Let h be 87/7 + (-30)/21 + 2. Let n be h/39 - (0 + 0). Factor 1/3*i + 0 - n*i**2.
-i*(i - 1)/3
Let g(d) be the third derivative of d**8/3360 - d**7/1680 - d**6/720 + d**5/240 - 5*d**3/2 - 5*d**2. Let w(r) be the first derivative of g(r). Factor w(m).
m*(m - 1)**2*(m + 1)/2
Let q(w) be the first derivative of -w**6/240 + w**4/4 + w**3 + 12. Let u(m) be the third derivative of q(m). Determine k, given that u(k) = 0.
-2, 2
Suppose -8*t = 5*t - 52. Let c(x) be the second derivative of 3*x - 1/14*x**7 + 0 - 2*x**3 + 3/5*x**6 + 3*x**t + 0*x**2 - 39/20*x**5. Factor c(j).
-3*j*(j - 2)**2*(j - 1)**2
Let n(d) = -86*d - 164. Let u be n(-2). Let c(y) be the second derivative of 1/18*y**4 + u*y + 1/30*y**5 - 1/3*y**2 + 0 - 1/9*y**3. Factor c(z).
2*(z - 1)*(z + 1)**2/3
Let k(h) be the third derivative of h**8/56 + h**7/105 - 17*h**6/180 - 7*h**5/90 + 2*h**4/9 + 4*h**3/9 - 136*h**2. Find v, given that k(v) = 0.
-1, -2/3, 1
Let d(l) be the first derivative of -3*l**4/8 + 51*l**3 - 7803*l**2/4 - 141. Factor d(v).
-3*v*(v - 51)**2/2
Let 391*v**4 + 3*v + 3*v - v**2 - 4*v**3 - 392*v**4 = 0. What is v?
-3, -2, 0, 1
Let v(i) be the first derivative of i**3/18 + 11*i**2/3 - 208. Solve v(p) = 0.
-44, 0
Let s(d) be the first derivative of -8/3*d**3 + 31/14*d**2 - 4/7*d - 9 - 4/7*d**4. Factor s(c).
-(c + 4)*(4*c - 1)**2/7
Suppose -17*z + 22*z = 5. Let k be z + (0/2 - 1). Find y, given that 3/7*y**3 + k + 1/7*y**4 + 0*y + 2/7*y**2 = 0.
-2, -1, 0
Let w be (21/28 - 0)*4. Let t = 51 - 15. Let -3*l - 2*l**2 - l + 40*l**3 - l**4 - t*l**3 + w = 0. What is l?
-1, 1, 3
Suppose -5*j - 25 = -5*a, 3*j + 17 = 6*a - 2*a. Let u(l) be the first derivative of 0*l**