 second derivative of 2*m**6/15 + 16*m**5/5 + 20*m**4/3 - 800*m**3/3 + 115*m. Factor w(j).
4*j*(j - 4)*(j + 10)**2
Let s(t) be the second derivative of -1/20*t**5 + 0*t**2 - 10*t - 1/6*t**3 + 0 + 1/6*t**4. Determine n so that s(n) = 0.
0, 1
Let i(v) be the first derivative of 2*v**3/21 + 29*v**2/7 + 8*v + 190. Solve i(c) = 0.
-28, -1
Find l such that 97*l**3 + 17 - 145*l - 20*l**4 - 15*l**2 + 31 - 13 + 48*l**3 = 0.
-1, 1/4, 1, 7
Let x(q) = -3*q**4 + 10*q**3 - 37*q**2 + 48*q - 14. Let j(i) = 4*i**4 - 9*i**3 + 37*i**2 - 51*i + 13. Let u(z) = -2*j(z) - 3*x(z). Factor u(b).
(b - 8)*(b - 2)*(b - 1)**2
Let h(z) be the third derivative of 0*z + 0 + 1/30*z**6 - 1/2*z**4 + 0*z**5 - z**2 + 4/3*z**3. Suppose h(u) = 0. Calculate u.
-2, 1
Let y = 16 + -12. Factor 60*s**3 - 180 + 5*s**y - 17*s - 43*s - 96*s**2 + 409*s**2 - 138*s**2.
5*(s - 1)*(s + 1)*(s + 6)**2
Suppose -3*a - 4*s - 4 = 0, -2*s = 3*a + 4 + 4. Let r = a - -9/2. Factor -r - 3/2*l**2 + 2*l.
-(l - 1)*(3*l - 1)/2
Let f(x) = -x**3 + x**2 - 3. Let q(n) = 7*n**3 - n**2 + 18. Let r(d) = -30*f(d) - 5*q(d). Let r(t) = 0. What is t?
-5, 0
Let c = 4201/4 + -1050. Let u(k) be the second derivative of -1/3*k**3 + 1/4*k**4 - 1/10*k**5 + 0 + c*k**2 + 3*k + 1/60*k**6. Determine j, given that u(j) = 0.
1
Solve -3/7*x**5 + 0*x - 17/7*x**4 - 4*x**3 - 12/7*x**2 + 0 = 0 for x.
-3, -2, -2/3, 0
Let p(s) be the first derivative of -s**6/21 + 2*s**5/5 + 27*s**4/14 + 58*s**3/21 + 10*s**2/7 - 20. Factor p(o).
-2*o*(o - 10)*(o + 1)**3/7
Let t(r) be the third derivative of -1/24*r**3 - 1/168*r**7 - 1/24*r**5 + 0 + 0*r + 19*r**2 - 1/48*r**6 - 1/1344*r**8 - 5/96*r**4. Factor t(u).
-(u + 1)**5/4
Let w(f) be the first derivative of -2*f**3/3 - 238*f**2 - 28322*f - 302. Suppose w(v) = 0. Calculate v.
-119
Let d(c) be the first derivative of 2/9*c**3 - 14 + 0*c + 1/3*c**2. Factor d(n).
2*n*(n + 1)/3
Let i(n) be the third derivative of n**7/2100 + n**6/900 + 7*n**3/6 + 8*n**2. Let o(h) be the first derivative of i(h). Factor o(x).
2*x**2*(x + 1)/5
Let w(q) be the second derivative of q**4/30 + 2*q**3/15 - 3*q**2/5 + 6*q. Solve w(l) = 0.
-3, 1
Let h be (-3 - (-27)/8)/(27/6). Let w(x) be the third derivative of -h*x**4 + 1/60*x**5 + 6*x**2 + 0*x + 0 - 1/2*x**3. Factor w(v).
(v - 3)*(v + 1)
Let c = -36549/8 + 36555/8. Suppose -2*w + c*w**3 + 1 + 1/4*w**2 = 0. What is w?
-2, 2/3, 1
Let i(l) be the second derivative of -1/3*l**3 + 0 + 4/7*l**2 - 2/105*l**6 + 4/35*l**5 - 1/147*l**7 - 1/21*l**4 - 26*l. Let i(f) = 0. Calculate f.
-4, -1, 1
Let a(z) be the second derivative of 2*z**7/21 + z**6/3 + z**5/5 - 2*z**4/3 - 4*z**3/3 - z**2 - 78*z. Factor a(k).
2*(k - 1)*(k + 1)**3*(2*k + 1)
Let u = -22 + 28. Factor -17*r**4 + 26*r**4 - 8*r**3 - 11*r**4 - u*r**2.
-2*r**2*(r + 1)*(r + 3)
Factor -18*w**3 + 55*w**3 - 13*w**3 - 4*w**5 - 4*w - 16*w**3.
-4*w*(w - 1)**2*(w + 1)**2
Factor -2*x**2 + 4*x**2 - 4*x**2 + 3*x - 2*x + 0*x**2.
-x*(2*x - 1)
What is s in 15*s**2 + 21*s - 24 - 7*s**2 - 18*s**2 + 13*s**2 = 0?
-8, 1
Factor 2/11*a**5 - 6/11*a - 4/11*a**2 + 6/11*a**4 + 4/11*a**3 - 2/11.
2*(a - 1)*(a + 1)**4/11
Let k(a) be the second derivative of -1/540*a**5 - 4*a + 7/2*a**2 + 1/54*a**4 - 2/27*a**3 + 0. Let c(v) be the first derivative of k(v). Factor c(z).
-(z - 2)**2/9
Suppose 3*r - 44 = -4*u, r - 3*u - 2*u - 21 = 0. Let s be r/9 + 2/9. Suppose -1/2*b**s - 1/2 - b = 0. What is b?
-1
Let f(s) = 4*s**3 - 4. Let h(y) = 8*y**3 - y - 7. Let n = 22 + -15. Let i(x) = n*f(x) - 4*h(x). Let i(w) = 0. What is w?
-1, 0, 1
What is m in 2 - m**4 + 18*m**2 + 8*m**3 + 5 - 12*m**2 - 8*m - 12*m**2 = 0?
-1, 1, 7
Let o(i) = -3*i**2 - 4*i + 49. Let p be o(-8). Let n = 113 + p. What is k in 24/5*k - 48/5*k**n - 3/5 = 0?
1/4
Let z = -1591 + 4777/3. Factor 1/3*t**2 + 4/3 + z*t.
(t + 2)**2/3
Let v(f) be the first derivative of -5*f**3/18 - 13*f**2/3 - 10*f/3 - 427. Factor v(w).
-(w + 10)*(5*w + 2)/6
Let y(v) be the second derivative of 3*v**5/20 - 17*v**4/6 + 11*v**3/6 + 16*v + 1. Factor y(b).
b*(b - 11)*(3*b - 1)
Let d be 3 - (-11534)/(-1922) - -3. Let v = d + 31717/3844. Suppose 3/2*q + v*q**2 + 0 = 0. What is q?
-2/11, 0
Let o(v) be the third derivative of 0*v**3 + 0*v - 5/3*v**4 - v**5 + 1/14*v**7 - 1/12*v**6 + 0 + 32*v**2 + 5/336*v**8. Factor o(p).
5*p*(p - 2)*(p + 1)*(p + 2)**2
Let z = -88 + 68. Let h = -20 - z. Factor h + 1/5*r**2 - 1/5*r.
r*(r - 1)/5
Let j be -25*33/(-2310)*(-7)/(-10). Factor -1/4 + 1/4*t**2 - 1/4*t**3 + j*t.
-(t - 1)**2*(t + 1)/4
Let b(m) be the first derivative of 6*m**6 - 504*m**5/5 + 552*m**4 - 9536*m**3/9 + 928*m**2 - 384*m - 14. Factor b(a).
4*(a - 6)**2*(3*a - 2)**3/3
Suppose -3*m + 2*l + 10 = 0, -7*m = -9*m + 3*l + 10. Find j, given that 8/3*j**3 + 4*j**m - 16/3 - 4/3*j**4 - 16/3*j = 0.
-1, 2
Let l(i) = 9*i**3 + 45*i**2 - 9*i - 33. Let m(r) = r**3 + 2*r**2 - r - 1. Let k(u) = -l(u) + 12*m(u). Let k(j) = 0. What is j?
-1, 1, 7
Let k = -52 + 46. Let q(v) = v**3 + v**2 - v - 1. Let b(l) = -9*l**3 - 21*l**2 + 6*l + 6. Let y(c) = k*q(c) - b(c). Determine d so that y(d) = 0.
-5, 0
Let w(y) be the second derivative of -1445*y**6/36 + 187*y**5/3 - 109*y**4/3 + 88*y**3/9 - 4*y**2/3 - 328*y. Factor w(j).
-(5*j - 2)**2*(17*j - 2)**2/6
Let c be ((-33)/(-7))/(30/(-45)). Let t = 60/7 + c. Let 9*b**3 + t*b**2 + 0 + 0*b = 0. What is b?
-1/6, 0
Let q(o) be the first derivative of -4*o**5/45 - o**4/9 - o**3/18 + 2*o**2 + 1. Let i(l) be the second derivative of q(l). Let i(p) = 0. Calculate p.
-1/4
Let j(n) be the third derivative of -n**8/50400 - n**7/18900 + 13*n**4/24 - 15*n**2. Let l(r) be the second derivative of j(r). Solve l(d) = 0.
-1, 0
Let p(o) be the third derivative of -o**6/140 - 13*o**5/140 - 2*o**4/7 - 5*o**3/14 + 3*o**2 + 5. Factor p(m).
-3*(m + 1)*(m + 5)*(2*m + 1)/7
Factor -18/7*s**3 - 272/7*s + 222/7*s**2 + 88/7.
-2*(s - 11)*(3*s - 2)**2/7
Let l be (14/63)/((-8)/(-18)). Let -b - l*b**2 - 1/2 = 0. Calculate b.
-1
Let i = 587/2055 + -30/137. Let g(y) be the first derivative of 0*y + 1/6*y**2 - 1/12*y**4 + 6 - 1/9*y**3 + i*y**5. Find m, given that g(m) = 0.
-1, 0, 1
Factor 40 - 258*k + 615*k**2 - 594*k**2 + 32.
3*(k - 12)*(7*k - 2)
Factor 578654/13*c + 314/13*c**4 - 16220/13*c**3 - 2/13*c**5 + 297754/13 + 264364/13*c**2.
-2*(c - 53)**3*(c + 1)**2/13
Let w(r) = -r**2 - 1. Let j(s) = -6*s**2 - 4*s - 2. Let u(d) = j(d) - 2*w(d). Suppose u(o) = 0. Calculate o.
-1, 0
Let i(w) be the third derivative of -w**7/168 + w**6/160 + 9*w**5/80 + 25*w**4/96 + w**3/4 - 246*w**2 + 1. Find m such that i(m) = 0.
-1, -2/5, 3
Let b = 5098/9 - 566. Let z(w) be the first derivative of 1/2*w**4 - 4/3*w + b*w**3 - w**2 + 1. Solve z(i) = 0 for i.
-1, -2/3, 1
Suppose -5/3*k**2 + 3/2*k + 0 + 1/6*k**3 = 0. Calculate k.
0, 1, 9
Suppose 83 = 2*j + 75. Let q(y) be the third derivative of -j*y**2 - 1/6*y**3 + 0*y + 0 + 1/120*y**6 - 1/20*y**5 + 1/8*y**4. Solve q(o) = 0.
1
Determine v so that 126*v**2 + 5*v**3 + 68*v**2 - 29*v**2 - 1445 + 1275*v = 0.
-17, 1
Let z be (28/(-49))/(5/(-14)). Let t be 1 + 14/5 + -3. Let -2*r**2 - 2/5 + z*r + t*r**3 = 0. What is r?
1/2, 1
Let y(b) = b**2 + b - 1. Let u = 114 + -108. Let c(i) = 5*i**2 + 6*i - 2. Let z(h) = u*y(h) - c(h). Factor z(j).
(j - 2)*(j + 2)
Let x(i) be the third derivative of -i**7/3780 - i**6/1620 + i**5/540 + i**4/108 - i**3/6 + 11*i**2. Let p(u) be the first derivative of x(u). Factor p(f).
-2*(f - 1)*(f + 1)**2/9
Let l(r) = 4*r + 54. Let b be l(-13). Let m(u) be the second derivative of -3/2*u**b + 0*u**4 - u**3 + 0 - 2*u + 3/10*u**5 + 1/10*u**6. Let m(h) = 0. What is h?
-1, 1
Find c such that -16/3*c**5 - 2/3*c**2 + 0*c - 8*c**4 - 4*c**3 + 0 = 0.
-1/2, 0
Let d be (-2)/(-4)*(-140)/7. Let m be (8/d)/(2/(-5)). Suppose -3*k**2 + 4*k**2 - 11*k**2 + 2*k**m - 6 + 14*k = 0. What is k?
3/4, 1
Suppose -3*l - 5*j = -34, -3*l = -2*l - j + 2. Let x(p) be the first derivative of -1/2*p**4 + 2*p + 6 + 2*p**3 - l*p**2. Suppose x(y) = 0. What is y?
1
Suppose -9*n + 12 = -15. Let g(i) be the first derivative of -6 + 0*i + 4*i**2 + 4/3*i**n. Determine o, given that g(o) = 0.
-2, 0
Let n(k) be the first derivative of -k**4/16 + 7*k**2/8 + 3*k/2 - 14. Factor n(y).
-(y - 3)*(y + 1)*(y + 2)/4
Factor 303*a + 6*a**3 - a**4 - 303*a - 9*a**2.
-a**2*(a - 3)**2
Let y be -47 - (-2 - 3/(-6)*6). Let p be (12/16)/((-78)/y). Suppose 0*u**4 - 2/13*u**