st derivative of 6*g**2 + 12*g + 3/2*g**v + 3*g**5 - 15*g**3 + 3. What is c in m(c) = 0?
-2, -2/5, 1
Let a(q) = -q**4 + 6*q**3 + q**2 + 2*q + 2. Let l(w) = 4*w**4 - 26*w**3 - 5*w**2 - 9*w - 9. Let y(z) = -9*a(z) - 2*l(z). Let y(d) = 0. Calculate d.
0, 1
Let r(s) be the third derivative of -5*s**8/336 + s**6/6 + s**5/6 - 5*s**4/8 - 5*s**3/3 + 15*s**2 - 3. Factor r(a).
-5*(a - 2)*(a - 1)*(a + 1)**3
Let g(o) be the first derivative of o + 1/2*o**2 - 1/4*o**4 - 1/3*o**3 - 3. Factor g(u).
-(u - 1)*(u + 1)**2
Let f be (-384)/(-60) + (-6)/(-10). Let i be -4*(-3)/(-12) + f/6. Factor -i*k + 1/6*k**3 + 1/3 - 1/3*k**2.
(k - 2)*(k - 1)*(k + 1)/6
Let m(p) = -3*p - 51. Let d be (-10)/(-90) - 308/18. Let f be m(d). Factor -5/3*i**3 + 5/3*i**2 + 5/3*i + f - 5/3*i**4.
-5*i*(i - 1)*(i + 1)**2/3
Let x(d) be the second derivative of 5*d**7/21 - 8*d**6/5 + 159*d**5/50 - 38*d**4/15 + 4*d**3/5 - 170*d. Let x(l) = 0. Calculate l.
0, 2/5, 1, 3
Let b be (4/((-8)/5))/(30/(-12)). Let y(f) be the first derivative of 2/3*f**3 + 8*f - 5*f**2 + b. Factor y(u).
2*(u - 4)*(u - 1)
Let x be (7 - 1)*((-40)/(-12) + -3). Let r(q) be the second derivative of 3*q - 1/54*q**4 + 1/9*q**3 + 4/9*q**x + 0. Factor r(g).
-2*(g - 4)*(g + 1)/9
Let h(f) be the first derivative of -3*f**5/20 + f**4/4 + 18*f - 3. Let d(a) be the first derivative of h(a). Solve d(i) = 0 for i.
0, 1
Factor 8/5*d + 42/5 - 2/5*d**2.
-2*(d - 7)*(d + 3)/5
Let x(j) = 20*j - 336. Let c be x(17). Let y(o) be the third derivative of 0*o - 1/15*o**3 + 1/40*o**c - 1/600*o**6 - 6*o**2 + 0*o**5 + 0. Solve y(i) = 0.
-2, 1
Suppose y = 319 - 99. Solve -3 - 7 - y*c**2 - 10*c - 2 + 222*c**2 = 0.
-1, 6
Let o(v) be the first derivative of 3*v**4/4 + 117*v**3 + 174*v**2 - 265. Determine g so that o(g) = 0.
-116, -1, 0
Let m(n) be the first derivative of 4*n**6 + 6*n**5 + 9*n**4/4 - 33. Factor m(v).
3*v**3*(2*v + 1)*(4*v + 3)
Let c(k) be the second derivative of 0 + 1/360*k**5 - 3/2*k**2 - 2*k - 1/9*k**3 + 0*k**4. Let q(n) be the first derivative of c(n). Factor q(h).
(h - 2)*(h + 2)/6
Suppose 5*s - 58 = 12. Let t = s - 12. Let -3 + 2*b + 6 - 2 - 2*b**t + 3 = 0. Calculate b.
-1, 2
Let c(o) be the third derivative of 0*o + 0 - 1/80*o**6 - 1/48*o**4 + 0*o**3 + o**2 + 1/420*o**7 + 1/40*o**5. Find l, given that c(l) = 0.
0, 1
Suppose 115 = 71*u - 98. Factor 0 - 6/5*v**2 - 3/5*v**u + 0*v.
-3*v**2*(v + 2)/5
Let i(u) be the first derivative of -u**4/22 + 20*u**3/33 + u**2 - 119. Find x, given that i(x) = 0.
-1, 0, 11
Let t(n) be the first derivative of 0*n**2 + 17 + 0*n + 4/3*n**3. Factor t(g).
4*g**2
Let b(y) = -6*y**2 - 12*y - 8. Let n(a) = 13*a**2 + 24*a + 16. Let w(s) = 5*b(s) + 2*n(s). Factor w(h).
-4*(h + 1)*(h + 2)
Let f = 101709/2485 - 1985/71. Let s = f - 88/7. Find c such that s*c**2 + 0 - 2/5*c = 0.
0, 1
Let m(g) = -5*g + 1. Let z(l) = -4*l. Let r(h) = -6*m(h) + 7*z(h). Let f be r(5). Find d, given that 3*d**5 - d + 8*d**2 + 18*d**3 + f*d + 12*d**4 + 4*d**2 = 0.
-1, 0
Factor 24/5*q - 8 - 2/5*q**2.
-2*(q - 10)*(q - 2)/5
Let w(t) be the first derivative of t**3/9 - 17*t**2/2 - 106*t/3 - 346. Factor w(v).
(v - 53)*(v + 2)/3
Let k(h) be the first derivative of -h**6/6 - 13*h**5/5 - 16*h**4 - 148*h**3/3 - 80*h**2 - 64*h + 195. Factor k(f).
-(f + 1)*(f + 2)**2*(f + 4)**2
Let c(w) be the second derivative of -2197*w**6/135 - 3211*w**5/90 - 65*w**4/3 - 164*w**3/27 - 8*w**2/9 - 2*w + 5. Factor c(m).
-2*(m + 1)*(13*m + 2)**3/9
Suppose 89 = -5*l - 4*b, -3*b + 7 = -5. Let g be 28/l + (-13)/(-3). Let 0 + 1/4*q**2 - 1/8*q**4 + 1/8*q**g + 0*q = 0. Calculate q.
-1, 0, 2
Suppose -2*x = -g - 4, 3*x - 2*g - 4 = 2. Suppose p = -u + 5, 3*u + x*u + 2*p - 16 = 0. Factor -8*a**2 + 23*a**u + 2*a - 10*a**2.
a*(5*a + 2)
Let j(x) = -x + 17. Let u be j(13). Suppose -2*p = w + 3, 3*w - 20 - 1 = u*p. Determine f so that -6*f**3 + 0*f**3 + 3*f**4 + f**4 + 4*f**2 - 2*f**w = 0.
0, 1
Let a = -372 + 379. Let i(j) be the third derivative of -1/56*j**6 + 1/490*j**a + 1/7*j**3 - 1/8*j**4 + 0 + 9/140*j**5 + 0*j + 2*j**2. Factor i(n).
3*(n - 2)*(n - 1)**3/7
Let v be (-3)/(-1) + (-23 - -8). Let s be 1/(-2) + (-2)/(v/15). Factor 0 - 2/7*y + 6/7*y**5 + 12/7*y**3 + 0*y**s - 16/7*y**4.
2*y*(y - 1)**3*(3*y + 1)/7
Solve -3/4*a**4 + 3/2*a**3 - 1/4*a**5 + 13/2*a**2 + 27/4*a + 9/4 = 0.
-3, -1, 3
Let a(l) be the second derivative of -l**4/21 - 100*l**3/21 - 1250*l**2/7 + 5*l + 4. Factor a(j).
-4*(j + 25)**2/7
Let r(s) = 1 + 81*s + 6 - 82*s. Let w be r(3). Let -16/3*l**w + 18*l + 0 - 2/3*l**5 + 0*l**2 - 12*l**3 = 0. Calculate l.
-3, 0, 1
Let d(c) = -c**3 + 60*c**2 + 240*c + 314. Let r(m) = 10*m**3 - 540*m**2 - 2160*m - 2825. Suppose 0 = q + 59 - 4. Let b(j) = q*d(j) - 6*r(j). Factor b(y).
-5*(y + 4)**3
Let i be (0/(-6))/(1 + -3). Let o be (-1)/(2/(-4)) - i. Factor 3*k - k + k**3 - k + k - 3*k**o.
k*(k - 2)*(k - 1)
Suppose 4*j - 10*p - 8 = -5*p, j = p + 2. Let u(w) be the third derivative of 1/12*w**4 - 4*w**j + 0*w - 1/6*w**3 + 0 - 1/60*w**5. Factor u(y).
-(y - 1)**2
Let g(u) be the first derivative of -2/15*u**2 - 2/9*u**3 + 9 - 1/30*u**4 + 1/15*u**6 + 0*u + 2/15*u**5. Solve g(m) = 0.
-1, -2/3, 0, 1
Let u(c) = -26*c**3 - 97*c**2 + 330*c - 240. Let d(a) = 9*a**3 + 33*a**2 - 110*a + 80. Let n(h) = 11*d(h) + 4*u(h). Factor n(s).
-5*(s - 2)*(s - 1)*(s + 8)
Let h(b) be the second derivative of -121*b**6/60 + 121*b**5/20 - 85*b**4/24 - 6*b**3 + 9*b**2 + 642*b. Solve h(x) = 0 for x.
-6/11, 6/11, 1
Let -2*c**2 - 48 + 603*c - 55 + 698*c - 1094*c = 0. Calculate c.
1/2, 103
Let s = -194 - -196. Let j(b) be the second derivative of 1/10*b**6 + b + 0*b**5 + 0 + 0*b**s + 0*b**4 + 0*b**3. Factor j(u).
3*u**4
Let b(l) = -l**3 - l**2 + 2*l - 2. Let a be 0 + 1 - 40/10. Let s(g) = -g**2 - g + 1. Let m(h) = a*b(h) + 6*s(h). Solve m(j) = 0.
-2, 1, 2
Let n(t) be the first derivative of 1/5*t**2 - 1/20*t**4 - 1/15*t**3 - 8 + 0*t. Factor n(r).
-r*(r - 1)*(r + 2)/5
Let g(t) be the third derivative of -t**8/392 - 43*t**7/735 - 197*t**6/420 - 313*t**5/210 - 16*t**4/7 - 12*t**3/7 + 6*t**2 - 2*t. Solve g(a) = 0 for a.
-6, -1, -1/3
Let x(y) = -4*y - 78. Let d be x(-18). Let o be 0/((-24)/3 - d). Factor -2/15*s**2 + 2/15*s**4 + 0*s + 0 + o*s**3.
2*s**2*(s - 1)*(s + 1)/15
Let p(i) be the third derivative of -i**5/210 - 5*i**4/21 + 819*i**2. Find t, given that p(t) = 0.
-20, 0
Let 26/3*n - 1/3*n**4 + 2*n**3 + 3 + 8*n**2 = 0. What is n?
-1, 9
Let j(c) be the second derivative of 0 + 3/4*c**5 + c + 0*c**2 - 2*c**3 + 2*c**4. Factor j(k).
3*k*(k + 2)*(5*k - 2)
Let b(p) be the first derivative of 0*p + 0*p**3 + 1/120*p**6 + 1/20*p**5 + 1 - 5/2*p**2 + 1/12*p**4. Let n(u) be the second derivative of b(u). Factor n(l).
l*(l + 1)*(l + 2)
Let m be 2/(-4) - (-351)/18. Suppose -5*t = 2*c + c + m, -3*c - 4 = 2*t. What is h in 3*h - c*h - h**4 - h - h**5 = 0?
-1, 0
Let i(r) = -r**3 - r**2. Let m(x) = 10*x**3 + 19*x**2 + 11*x + 2. Let g = 39 - 36. Let z(n) = g*i(n) + m(n). Determine d, given that z(d) = 0.
-1, -2/7
Let y(n) = -18*n**4 - 293*n**3 - 10373*n**2 - 165888*n - 995333. Let r(v) = -3*v**4 - v**3 - v**2 - 1. Let w(m) = -5*r(m) + y(m). Solve w(p) = 0.
-24
Suppose -3 = -27*u + 26*u + 2*b, -4*u + 12 = 5*b. Solve 1/6*t**u + 1/6*t + 1/3*t**2 + 0 = 0 for t.
-1, 0
Let d(l) = 4*l**5 + 2*l**4 + 20*l**3 + 31*l**2 + 9*l - 6. Let f(p) = -3*p**5 - 4*p**4 - 21*p**3 - 30*p**2 - 10*p + 4. Let h(u) = -2*d(u) - 3*f(u). Factor h(r).
r*(r + 1)*(r + 2)**2*(r + 3)
Let s(z) = 13*z**3 + 794*z**2 + 58*z - 181. Let t be s(-61). Factor -4/7*h**3 - 4/7*h + 0 - 8/7*h**t.
-4*h*(h + 1)**2/7
Let g(h) be the second derivative of -h**10/336 + h**9/180 + h**8/840 - 2*h**7/315 - 7*h**4/12 - 8*h. Let b(i) be the third derivative of g(i). Factor b(q).
-2*q**2*(3*q - 2)**2*(5*q + 2)
Let j = -4301 + 98939/23. Let v = 67/69 + j. Factor 1/3*k**3 + 2/3 + v*k + 4/3*k**2.
(k + 1)**2*(k + 2)/3
Let h(t) = t + 1. Let w(k) = -3*k**2 + 5*k + 8. Let f(c) = -4*h(c) - w(c). What is o in f(o) = 0?
-1, 4
Factor 0 + 3/5*p**4 + 3*p**2 + 12/5*p**3 + 6/5*p.
3*p*(p + 1)**2*(p + 2)/5
Let v(m) be the second derivative of 1/12*m**3 - 12*m + 1/8*m**4 - 1/40*m**5 + 0 - 3/4*m**2. Find x, given that v(x) = 0.
-1, 1, 3
Let t(h) be the third derivative of 6*h**3 + 0 - 1/20*h**5 + 9*h**2 + h**4 + 0*h - 1/40*h**6. Factor t(g).
-3*(g - 3)*(g + 2)**2
Factor 12/7 - 20/7*i + i**2.
(i - 2)*