 the third derivative of d(c). Factor j(r).
-3*r**2*(r - 1)/5
Suppose -9*a - 84 = -41*a - 20. Factor 2*u**a - 2/3*u**4 - 8/3*u + 4/3*u**3 - 8/3.
-2*(u - 2)**2*(u + 1)**2/3
Let b(h) be the second derivative of h**5/4 - 15*h**4/2 + 2*h - 3. Factor b(k).
5*k**2*(k - 18)
Let m(h) be the first derivative of -h**4/6 - 5*h**3/12 - h**2/4 - h - 14. Let b(a) be the first derivative of m(a). Suppose b(q) = 0. Calculate q.
-1, -1/4
Let o(g) be the second derivative of -g**5/30 - 7*g**4/18 - 14*g**3/9 - 8*g**2/3 - 42*g. Find n such that o(n) = 0.
-4, -2, -1
Let b(k) be the second derivative of 7/10*k**5 - 1/6*k**4 + 1/21*k**7 + 1/3*k**6 + 0 - 4*k**2 - 24*k - 8/3*k**3. Suppose b(c) = 0. Calculate c.
-2, -1, 1
Let a(o) be the second derivative of o**5/80 + 5*o**4/48 + o**3/8 - 9*o**2/8 + 24*o. Suppose a(v) = 0. What is v?
-3, 1
Let g(j) be the second derivative of -j**4/60 + 26*j**3/15 - 629*j. Factor g(v).
-v*(v - 52)/5
Let u(c) be the first derivative of 25*c**6/24 + 7*c**5/8 - 49*c**4/32 - 37*c**3/24 - c**2/16 + c/4 + 432. Solve u(f) = 0 for f.
-1, -1/2, -2/5, 1/5, 1
Let p be 851/184 + (-3)/(-8). Let c(g) be the third derivative of 0 - 1/20*g**4 + 1/15*g**3 - 6*g**2 + 1/75*g**6 + 0*g**p + 0*g. Determine f so that c(f) = 0.
-1, 1/2
Let s be (-10)/(-55) + (-24)/(-352) - 6/(-40). Determine a, given that 0 + s*a**5 + 32/5*a - 16*a**2 + 66/5*a**3 - 4*a**4 = 0.
0, 1, 4
Let d be 7890/450 - (-2)/(-10). Factor -169/3*y**2 - d*y - 4/3.
-(13*y + 2)**2/3
Suppose 52 = 5*n - 23. Determine u so that -3 - n - u - 3*u**2 - 20*u = 0.
-6, -1
Let f(j) be the first derivative of -4*j**5 + 6*j**4 + 4*j**3 - 8*j**2 + 10. Determine g, given that f(g) = 0.
-4/5, 0, 1
Let t = -2562 + 2564. Factor -2/7*c**3 - 2/7*c**4 + 0*c + 0 + 4/7*c**t.
-2*c**2*(c - 1)*(c + 2)/7
Let n(w) be the third derivative of 1/60*w**5 - 5/24*w**4 - 18*w**2 - w**3 + 0 + 0*w. Factor n(k).
(k - 6)*(k + 1)
Let d(o) be the second derivative of 1/96*o**4 + o**2 + 6*o + 0*o**3 + 0 - 1/240*o**5. Let r(n) be the first derivative of d(n). Factor r(c).
-c*(c - 1)/4
Let 766*s**2 + 33*s**3 + 842*s**2 - 1530*s**2 + 3*s**4 + 48*s = 0. Calculate s.
-8, -2, -1, 0
Let z(g) be the second derivative of -3*g + 0*g**4 + 1/60*g**5 + 0*g**3 + 0*g**2 + 0. Factor z(o).
o**3/3
Let l(x) = x**3 + 3*x**2. Let q be l(-2). Let n be 5 + q + 301/(-35). Factor 2/5*m**2 + 0 + 0*m - n*m**3.
-2*m**2*(m - 1)/5
Suppose -429*t + 432*t = 4*p + 5, 8 = -5*p + 4*t. Determine i so that 0*i - 40/3*i**3 - 5*i**2 + 0 - 25/3*i**p = 0.
-1, -3/5, 0
Let i = -2114 + 2118. Let c(q) be the second derivative of 0*q**i + 0*q**3 + 1/10*q**5 + 0 - 5*q + 0*q**2 + 1/15*q**6. Factor c(d).
2*d**3*(d + 1)
Let p = -21 + 26. Factor p*s**3 - 2*s**3 + 6*s + 58*s**2 - 49*s**2.
3*s*(s + 1)*(s + 2)
Suppose -3*i = -15 - 3. Let r be i/9 - 1/3. Factor -r*o**3 + 0*o**2 + 0 + 0*o.
-o**3/3
Let b(n) be the first derivative of 5*n**4/12 - 5*n**3 + 25*n**2/2 - 5*n + 2. Let w(g) be the first derivative of b(g). Find q, given that w(q) = 0.
1, 5
Let r(n) be the first derivative of 11 - 3/10*n**3 + 3/5*n**2 + 1/20*n**4 - 12*n. Let z(g) be the first derivative of r(g). Find q, given that z(q) = 0.
1, 2
Suppose -3*u + u - 16 = -4*j, 5*u + 3*j + 66 = 0. Let f be ((-2)/(-7))/(u/(-7)). Factor 0 + 1/3*v - f*v**2.
-v*(v - 2)/6
Suppose 48 = -2*s + 3*s. Find i, given that s*i**3 - 2*i - 8*i**3 - 10*i**2 - 3*i = 0.
-1/4, 0, 1/2
Let o = 167 + -834/5. Factor q - o*q**2 + 0.
-q*(q - 5)/5
Let c(f) be the first derivative of 1/12*f**6 - 3 + 0*f + 0*f**4 - 1/4*f**2 - 1/3*f**3 + 1/5*f**5. Factor c(g).
g*(g - 1)*(g + 1)**3/2
Let y(o) be the second derivative of -9*o + 18*o**3 + 81/2*o**2 + 3/5*o**5 + 1/30*o**6 + 9/2*o**4 + 0. Suppose y(h) = 0. What is h?
-3
Factor -30*u - 50*u + 65*u - 12*u**3 + 12 - 45*u**2 - 21*u.
-3*(u + 2)**2*(4*u - 1)
Let k(p) be the third derivative of -p**5/240 - 11*p**4/16 - 363*p**3/8 + 5*p**2 + 4. Factor k(b).
-(b + 33)**2/4
Let k(u) be the first derivative of 3/40*u**5 - 2*u**2 - 3/16*u**4 + 1 + 0*u - 1/80*u**6 + 1/4*u**3. Let q(m) be the second derivative of k(m). Factor q(g).
-3*(g - 1)**3/2
Factor 2/15*s**5 + 482/15*s**2 + 38/15*s**4 + 416/15*s + 46/3*s**3 + 128/15.
2*(s + 1)**3*(s + 8)**2/15
Let y be (2 - 0) + 0/18. Suppose y*p - p - 10 = 0. Solve -2*x - 8*x**2 - 2 - 2*x**3 + p*x**2 - x + 5*x = 0 for x.
-1, 1
Let l = 1017 + -1017. Let p(c) be the first derivative of 8 + 0*c**4 + 4/3*c**3 + l*c - 4/5*c**5 + 0*c**2. Factor p(h).
-4*h**2*(h - 1)*(h + 1)
Let v(m) = 27*m**3 - 18*m**2 - 120*m - 78. Let r(z) = -z**2 - 19*z - 51. Let o be r(-16). Let j(h) = h**4 + h**3 - 1. Let q(k) = o*j(k) + v(k). Factor q(c).
-3*(c - 5)**2*(c + 1)**2
Let n(p) be the first derivative of -p**5/20 - 2*p**4 - 32*p**3 - 17*p**2/2 - 2. Let r(y) be the second derivative of n(y). Find x, given that r(x) = 0.
-8
Let o(f) = f**2. Let v(n) = -46*n**2 + 92*n + 24. Let t(x) = 6*o(x) - v(x). Factor t(m).
4*(m - 2)*(13*m + 3)
Let i(g) be the first derivative of g**5/5 - 4*g**4/7 + 11*g**3/21 - g**2/7 - 94. Factor i(p).
p*(p - 1)**2*(7*p - 2)/7
Let d be 5 + -2 + -8 - -5. Factor -2/3*l**4 + d*l - 2/3*l**5 + 0*l**2 + 0 + 0*l**3.
-2*l**4*(l + 1)/3
Let a(s) = -s. Let t(f) = -f**2 + 2*f - 2. Let n(y) = 2*y**2 - 6*y + 7. Let d(l) = -2*n(l) - 7*t(l). Let z(b) = -4*a(b) - d(b). Factor z(v).
-3*v*(v - 2)
Suppose 6 = 3*a - 24. Let p = -8 + a. Suppose -p*g - 2*g**2 + 4*g**2 - 4*g**2 + 0*g**2 = 0. What is g?
-1, 0
Factor 549*j**2 + 7*j - 223*j - 553 + 95*j**3 + 121 + 4*j**4.
(j - 1)*(j + 12)**2*(4*j + 3)
Solve -10*v + 36*v - 55*v**2 - 6*v - 15*v = 0.
0, 1/11
Let r be 93/(-9) + (-8)/12. Let m(l) = 4*l**2 + 45*l + 14. Let d be m(r). Find b, given that 4/5*b**2 + 0 + 4/5*b + 1/5*b**d = 0.
-2, 0
Let u = 36 - 33. Factor 4*s**u - 9*s**2 - s**3 + 6*s**2.
3*s**2*(s - 1)
Let h be 15/(-12) + (-1)/(-4). Let k = h - -6. Factor -4*a**2 + 18*a + 3*a**3 - 18*a - k*a**3.
-2*a**2*(a + 2)
Find p, given that -3*p**3 - 6*p - 45/4*p**2 + 9/4 = 0.
-3, -1, 1/4
Let m be (-1 + -1)/((-135)/567) - 8. Factor m*o**3 + 0 + 0*o - 2/5*o**2.
2*o**2*(o - 1)/5
Suppose 42/13*v + 20/13*v**2 + 4/13 = 0. Calculate v.
-2, -1/10
Let h = 172 - 859/5. Let a(j) be the second derivative of -1/75*j**6 + 0 + 2/25*j**5 - h*j**2 - 6*j + 4/15*j**3 - 1/5*j**4. Find i such that a(i) = 0.
1
Suppose 0 = 4*y - 2*y + 92. Let u be (y/(-3))/(2/3). Factor u*s + 18 - 6 + 10*s + 21*s**2.
3*(s + 1)*(7*s + 4)
Let o(c) = -c + 1. Let x be o(-2). Factor -n**3 + 5*n**3 + n - x*n - 2*n**5 + 0*n**3.
-2*n*(n - 1)**2*(n + 1)**2
Let a be (-19948)/126 + (-7)/63. Let d = a - -159. Factor d*q**2 - 4/7*q + 4/7*q**3 - 4/7.
4*(q - 1)*(q + 1)**2/7
Let r(d) = -5*d**2 + 33*d + 15. Let y(j) = -5*j**2 + 67*j + 31. Let m(z) = 5*r(z) - 3*y(z). Factor m(a).
-2*(a + 3)*(5*a + 3)
Let w(s) = 2*s**2 - 3*s**2 - s**3 + 0*s**4 + s + 2*s**2 + s**4. Let l(x) = -12*x**2 - 8*x. Let z(g) = -2*l(g) - 4*w(g). Factor z(q).
-4*q*(q - 3)*(q + 1)**2
Let i(d) be the third derivative of d**5/150 - 2*d**4/15 - 247*d**2. Factor i(z).
2*z*(z - 8)/5
Let x(p) = -p**3 + 5*p**2 + 3*p + 5. Let z be x(6). Let m = z - -18. Suppose 3*h**m + 55 - h**4 - 55 - 2*h**3 = 0. What is h?
-2/3, 0, 1
Suppose -5*b - 29 - 26 = 0. Let u(q) = -q - 9. Let y be u(b). Factor 3*c**2 + 20*c - c**2 - 7*c**y.
-5*c*(c - 4)
Suppose -5*s + 5*r - 963 = -923, 0 = 5*s - 4*r + 32. Find w, given that -3*w + s + 15/2*w**2 - 9/2*w**4 + 6*w**3 = 0.
-1, 0, 1/3, 2
Let k(u) be the third derivative of -u**7/105 - u**6/20 + 4*u**5/5 - 7*u**4/3 + 208*u**2. Let k(t) = 0. What is t?
-7, 0, 2
Let q = 1/40 + 3/8. Let b(l) be the second derivative of -3/5*l**3 + 0 + q*l**2 + l + 7/30*l**4. Suppose b(h) = 0. Calculate h.
2/7, 1
Let v be 160/2 + (-1 - (-9)/3). Factor l**2 + v*l + 5*l**2 + 1 + 79*l - 165*l - 4*l**3 + l**4.
(l - 1)**4
Let l(k) be the first derivative of 10*k**6/21 + 2*k**5/5 - 13*k**4/14 - 2*k**3/3 + 3*k**2/7 - 148. Let l(b) = 0. Calculate b.
-1, 0, 3/10, 1
Suppose -3*q = 2*y - 5*y + 192, -5*y + 20 = 0. Let b = -57 - q. Find m, given that 1/3*m + 0 + 1/3*m**2 - 1/3*m**4 - 1/3*m**b = 0.
-1, 0, 1
Let k be 152/608 + (-1)/4. Find t, given that 0*t**2 + 8/7*t**5 + 0*t - 2/7*t**3 - 6/7*t**4 + k = 0.
-1/4, 0, 1
Suppose 0 = 4*r - 3*t - 0*t - 17, 4*r = -4*t + 24. Let s be (r/3)/((-10)/(-12)). Factor 0 - 1/4*b**s + 1/2*b.
-b*(b - 2)/4
Suppose -3*b = 2*q - 12, 13 = -b + 3*