be the first derivative of -2*l**3/15 - 3*l**2/5 + 4*l + 83. Solve x(c) = 0.
-5, 2
Let l(r) be the third derivative of -r**6/360 + 7*r**5/180 - r**4/12 + 2*r**2 - 22*r. Factor l(g).
-g*(g - 6)*(g - 1)/3
Factor 0*p**3 - 18/5*p**4 - 2/5*p**5 + 0*p + 0*p**2 + 0.
-2*p**4*(p + 9)/5
Let v(a) be the third derivative of 49*a**6/15 - 182*a**5/15 - 55*a**4/12 - 2*a**3/3 + 409*a**2. Solve v(b) = 0 for b.
-1/14, 2
Let h(d) = 2*d**2 + 22*d + 20. Let p be h(-10). Let g(o) be the first derivative of 0*o**3 - 1 - 1/2*o**4 + p*o + o**2. Find n such that g(n) = 0.
-1, 0, 1
Let q = -168 + 184. Let o = -12 + q. Suppose -83/2*z**2 + 3*z - 21/2*z**3 + o = 0. Calculate z.
-4, -2/7, 1/3
Let x(c) = c**5 + 15*c**4 - 22*c**3 - 25*c**2 + 16*c + 5. Let o(r) = -16*r**4 + 20*r**3 + 24*r**2 - 16*r - 4. Let u(p) = 5*o(p) + 4*x(p). Factor u(m).
4*m*(m - 4)*(m - 1)**2*(m + 1)
Let r be 415/(-332)*48/(-20). Factor 12/5*t - 12/5*t**r + 18/5 - 24/5*t**2 + 6/5*t**4.
6*(t - 3)*(t - 1)*(t + 1)**2/5
Let q be ((0 + 0)/(-1))/(-30 + 32). Let i(v) be the third derivative of 6*v**2 + 0*v + 0 + 1/36*v**4 + q*v**3 + 1/90*v**5. Determine x so that i(x) = 0.
-1, 0
What is z in 7/2*z**3 - 6*z - 3/2*z**4 + 12*z**2 - 8 = 0?
-2, -2/3, 1, 4
Let t(c) be the second derivative of -c**7/28 - 21*c + 2. Factor t(u).
-3*u**5/2
Let j be (33 - 33) + 6/15. Factor -6/5*c**3 + 0*c - 2/5*c**2 - 6/5*c**4 - j*c**5 + 0.
-2*c**2*(c + 1)**3/5
Let v be (-222)/1221 + (-70)/(-22). Let d(p) be the first derivative of -9/16*p**4 + 0*p - p**v - 5 - 3/8*p**2. Factor d(u).
-3*u*(u + 1)*(3*u + 1)/4
Suppose 0*v = -v + 3*j + 144, -v + 150 = -5*j. Factor -52*g**4 - v*g**3 - 10*g + 65*g**2 - 35*g**5 + 261*g**4 - 94*g**4.
-5*g*(g - 1)**3*(7*g - 2)
Let m = -48 - -43. Let z be (-10)/m*(-9)/(-6). Factor -2*s + 8/5*s**2 - 2/5*s**z + 4/5.
-2*(s - 2)*(s - 1)**2/5
Let d(v) = -v. Let f be (-1)/(-1)*-2 - 2. Let p = 0 - f. Let a(u) = u**3 - 3*u**2 + 7*u - 1. Let l(k) = p*d(k) + a(k). Factor l(y).
(y - 1)**3
Let t be (-6 + 0)/((-36)/8 - -3). Let -17*v**3 + 11*v**3 + 14*v**3 - t*v**5 - 4*v = 0. Calculate v.
-1, 0, 1
Let w(i) be the third derivative of i**6/30 + 4*i**5/3 + 31*i**4/2 + 84*i**3 - 124*i**2 - i. Find y such that w(y) = 0.
-14, -3
Let f(h) = -3*h + 26. Let r be f(7). Let t be 4/18 - 22/(-63). Let -10/7*a**2 - 18/7*a**4 - 6/7*a + 4/7 + t*a**r + 26/7*a**3 = 0. What is a?
-1/2, 1, 2
Let q(m) = 65*m - 3702. Let c be q(57). Solve 2/7*x**5 + 8/7*x + 2*x**4 + 26/7*x**2 + 30/7*x**c + 0 = 0 for x.
-4, -1, 0
Let s = 123/92 - 2/23. Factor s*c**3 + 0 + 0*c**2 - 5/4*c.
5*c*(c - 1)*(c + 1)/4
Let k(t) be the first derivative of -t**6/30 - 2*t**5/15 - t**4/6 + 12*t**2 + 38. Let s(r) be the second derivative of k(r). Find h, given that s(h) = 0.
-1, 0
Find u, given that -2/11*u**2 + 42/11*u + 4 = 0.
-1, 22
Let j(k) = -2*k**3 - k**2 - k. Let b(h) = -16*h**3 - 89*h**2 - 7*h. Let s(q) = b(q) - 7*j(q). Factor s(f).
-2*f**2*(f + 41)
Let v(d) be the first derivative of -d**6/3 - 2*d**5 - 9*d**4/2 - 14*d**3/3 - 2*d**2 - 18. Factor v(c).
-2*c*(c + 1)**3*(c + 2)
Let z(y) be the first derivative of y**5/15 + y**4/12 - 7*y**3/3 - 41*y**2/6 - 20*y/3 - 75. Factor z(g).
(g - 5)*(g + 1)**2*(g + 4)/3
Let g be ((-19)/(-2)*4)/2. Find x, given that g*x + 2*x + 4*x - 5*x**2 = 0.
0, 5
Let f(d) = d**3 - d + 2. Let g(o) = -15*o**3 - 3*o**2 + 12*o - 24. Let q(t) = 12*f(t) + g(t). Factor q(h).
-3*h**2*(h + 1)
Suppose -7*u = -4*u + 21. Let x(o) = 2*o + 14. Let j be x(u). Factor -1/4*g**4 + 0*g**2 - 1/2*g**3 + 1/4*g**5 + j*g + 0.
g**3*(g - 2)*(g + 1)/4
Let i be (-21)/42 + (98/6)/(10/3). Suppose i*a - 14/5*a**3 + 26/5*a**4 - 4/5 - 22/5*a**2 - 8/5*a**5 = 0. What is a?
-1, 1/4, 1, 2
Suppose -9 = 5*g - 8*g. Suppose u = g*u - 8. Factor 2*l**3 + 2*l**2 + 4*l**2 - 2*l - 3*l**2 + 2*l**u - 5*l**2.
2*l*(l - 1)*(l + 1)**2
Let g be 1/(9/6) + 5 + (-77)/15. Solve 8/5*n**2 + 4/15 - g*n**4 + 2/15*n**3 - 22/15*n = 0 for n.
-2, 1/4, 1
Let g be (-30)/70 + (-184)/(-168). Determine k, given that -2/3*k**2 + 2/3 - 2/3*k**3 + g*k = 0.
-1, 1
Let n = 2/36163 - -4375717/108489. Factor -n - 1/3*q**2 - 22/3*q.
-(q + 11)**2/3
Let g(n) be the third derivative of 1/12*n**4 - 45*n**2 + 13/120*n**6 + 0 + 0*n**3 + 0*n + 1/4*n**5. Factor g(k).
k*(k + 1)*(13*k + 2)
Suppose 708*l**4 + 16*l - 357*l**4 - 353*l**4 - 4*l**3 + 8*l**2 = 0. Calculate l.
-2, 0, 2
Let d(u) be the first derivative of u**5/3 - 65*u**4/4 - 5*u**3/9 + 65*u**2/2 - 369. Determine n so that d(n) = 0.
-1, 0, 1, 39
Let c(o) be the second derivative of o**8/10080 + o**7/1890 + 2*o**4/3 - 6*o. Let q(n) be the third derivative of c(n). Factor q(d).
2*d**2*(d + 2)/3
Let c be 32/1152 + ((-22)/(-18) - 1). Find d, given that -1/2*d + c*d**2 + 0 = 0.
0, 2
Let s = -39 - -51. What is i in -s*i + 19*i + 5*i - 36 + 3*i**2 = 0?
-6, 2
Let t(d) be the third derivative of 0*d**3 + 0 + 1/120*d**5 + 0*d - 8*d**2 - 1/48*d**4 + 1/240*d**6 - 1/420*d**7. Determine u so that t(u) = 0.
-1, 0, 1
Let l = 82 - 82. Suppose l = -3*z + 9*z. What is p in z*p - 1/2*p**2 + 0 = 0?
0
Factor 28/5*x**2 + 90 - 1/5*x**3 - 41*x.
-(x - 18)*(x - 5)**2/5
Let i(h) be the second derivative of h**4/9 + 4*h**3 + 34*h**2/3 + 23*h + 3. Suppose i(z) = 0. What is z?
-17, -1
Let u(i) be the first derivative of -i**4/4 + 8*i**3/3 - 17*i**2/2 + 10*i + 242. Determine q so that u(q) = 0.
1, 2, 5
Let q(s) be the first derivative of 7*s**6/360 + 4*s**5/45 + 11*s**4/72 + s**3/9 + 19*s**2 + 10. Let u(t) be the second derivative of q(t). Factor u(f).
(f + 1)**2*(7*f + 2)/3
Factor 4*n**3 - 4*n + 46 - 109 + 47 + 16*n**2.
4*(n - 1)*(n + 1)*(n + 4)
Let o be 48/512*32 - (-6)/(-4). Factor 1 + 7/2*k**3 + o*k - 6*k**2.
(k - 1)**2*(7*k + 2)/2
Let g(h) be the second derivative of h**5/4 - 55*h**4/6 + 190*h**3/3 - 180*h**2 + 386*h. Factor g(f).
5*(f - 18)*(f - 2)**2
Let r be ((-5)/(-4))/((-6)/(-24)). Solve 6*p**4 + 2*p**2 + p**2 - r*p**4 - 2*p**3 - 2*p**2 = 0 for p.
0, 1
Let c(f) be the first derivative of 4/9*f**3 - 4/3*f - 1/6*f**4 + 1/3*f**2 + 9. Find o such that c(o) = 0.
-1, 1, 2
Let n(f) be the first derivative of -f**5/10 - f**4/2 - f**3/2 - 106. Factor n(g).
-g**2*(g + 1)*(g + 3)/2
Let g(a) be the third derivative of a**5/135 - 23*a**4/54 - 232*a**2 - 1. Factor g(q).
4*q*(q - 23)/9
Solve -33*n**2 - n**3 - 2*n**3 + 3*n**5 - 27*n**2 + 60*n**2 = 0.
-1, 0, 1
Let u(q) = 14*q**3 - 4*q**2 - 4*q + 4. Let c(o) = -6*o**3 + 2*o**2 + 2*o - 2. Let i(f) = -5*c(f) - 2*u(f). Factor i(p).
2*(p - 1)**2*(p + 1)
Let a(w) be the second derivative of -w**7/42 - 7*w**6/30 - 11*w**5/20 + 7*w**4/12 + 2*w**3 - 340*w. Let a(s) = 0. Calculate s.
-4, -3, -1, 0, 1
Let o be ((-192)/(-60))/(2/1). Let -1/5*d**4 + 0 - 4/5*d**2 + o*d**3 + 0*d - 3/5*d**5 = 0. Calculate d.
-2, 0, 2/3, 1
Solve -3*j**2 - 68*j - 73*j + 159*j + 21 = 0 for j.
-1, 7
Let -24*w**2 + 27*w**2 - 13*w + 4*w = 0. Calculate w.
0, 3
Let m(z) be the third derivative of 4/15*z**3 - 1/75*z**5 + 0 + 0*z - 1/30*z**4 - 5*z**2. Factor m(a).
-4*(a - 1)*(a + 2)/5
Let d = 5641/60 - 94. Let s(l) be the third derivative of 0 + 0*l**3 + l**2 - d*l**4 + 0*l - 1/300*l**6 - 1/75*l**5. Factor s(k).
-2*k*(k + 1)**2/5
Let k(q) be the second derivative of -q**5/10 - q**4/30 + 191*q. Factor k(c).
-2*c**2*(5*c + 1)/5
Let i = 4139 + -16459/4. Factor 4*j**5 + 9/4*j + 33/2*j**2 + 0 + i*j**3 - 22*j**4.
j*(j - 3)**2*(4*j + 1)**2/4
Let z(t) be the third derivative of t**8/840 + t**7/105 + t**6/60 - t**5/30 - t**4/10 - 37*t**2. Suppose z(q) = 0. What is q?
-3, -2, -1, 0, 1
Let a(g) be the third derivative of -g**6/160 + 7*g**5/40 - 45*g**4/32 + 975*g**2. Factor a(f).
-3*f*(f - 9)*(f - 5)/4
Let x(o) be the second derivative of -2*o**6/15 - o**5/5 + 2*o**4 + 8*o**3/3 - 16*o**2 - 155*o. Find f such that x(f) = 0.
-2, 1, 2
Let n = 1153 - 1151. Factor 1/8*s**n + 1/2*s + 3/8.
(s + 1)*(s + 3)/8
Let o(p) be the second derivative of p**7/84 - 2*p**6/15 + 23*p**5/40 - 7*p**4/6 + p**3 - p + 37. Factor o(q).
q*(q - 3)*(q - 2)**2*(q - 1)/2
Suppose 3*g = -2*g + 2*d + 2, -2*g + 24 = 5*d. Let p(c) be the first derivative of -3/4*c**2 - 9/4*c - g - 1/12*c**3. Determine x, given that p(x) = 0.
-3
Let j(f) be the third derivative of f**5/12 - 15*f**4/8 - 55*f**3/3 - 121*f**2. Find p, given that j(p) = 0.
-2, 11
Let k(j) = j**2 + 8*j + 10. Suppose 0*b - b = 0, -32 = 4*y - 3*b. Let i be k(y). Factor -3*q**2 + 3*q + i*q*