*r**2 - 3 - 1/420*r**6 + 0*r**3 + 1/84*r**4. Let f(u) be the second derivative of y(u). Factor f(s).
-2*s*(s - 1)*(s + 1)/7
Let l(o) be the third derivative of o**8/336 - o**7/210 - o**6/12 - 2*o**5/15 + 38*o**2 + 2. Solve l(i) = 0.
-2, -1, 0, 4
Let i(x) be the third derivative of 0 + 4*x**2 - 4/195*x**5 + 1/156*x**6 + 1/156*x**4 + 2/39*x**3 + 0*x. Factor i(a).
2*(a - 1)**2*(5*a + 2)/13
Suppose -119*q = -115*q - 12. Let n(i) be the first derivative of -1/2*i**q - 3/4*i**2 + 6 + 0*i. Suppose n(c) = 0. Calculate c.
-1, 0
Let j(f) = -f**2 - 21*f + 21. Let i(p) = -2*p**2 - 24*p + 22. Let v(c) = -3*i(c) + 4*j(c). Factor v(r).
2*(r - 3)**2
Let 256*b + 5*b**3 - 12*b**3 + 8*b**3 - 512 + b**3 + 0*b**3 - 40*b**2 = 0. What is b?
4, 8
Suppose 3*x - 19 + 1 = -3*r, 4*r - 21 = -x. Let -3 - f**2 + r*f - 1 - 3*f**2 + 3*f = 0. What is f?
1
Let a(c) be the third derivative of -c**7/3780 - c**6/162 - 5*c**5/108 + 8*c**3 - 13*c**2. Let s(g) be the first derivative of a(g). Solve s(o) = 0 for o.
-5, 0
Let a(n) = -n**3 + 14*n**2 + 32*n - 253. Let y be a(15). Factor 0 + 11/2*t**3 + 3/2*t**4 + 2*t + 6*t**y.
t*(t + 1)*(t + 2)*(3*t + 2)/2
Let g(d) be the third derivative of -1/12*d**4 + 1/60*d**6 + 0*d + 2/3*d**3 - 1/15*d**5 + 0 + 2*d**2. Factor g(v).
2*(v - 2)*(v - 1)*(v + 1)
Let z(j) be the second derivative of j**7/112 + 3*j**6/80 + 3*j**5/80 - j**4/16 - 3*j**3/16 - 3*j**2/16 + j + 15. What is l in z(l) = 0?
-1, 1
Let t(z) be the second derivative of 0*z**2 + 8/3*z**3 - 9/5*z**5 + 0 + 4*z**4 - 14/15*z**6 - 8*z. Factor t(i).
-4*i*(i - 1)*(i + 2)*(7*i + 2)
Let t(i) = i**4 + i**3 - i**2 - 1. Suppose -5*l - p - 20 = 0, 4*l + 4*p - 3*p + 15 = 0. Let d(o) = -o + 1. Let s(r) = l*d(r) - 5*t(r). Factor s(k).
-5*k*(k - 1)*(k + 1)**2
Let d be (-1)/(10/2322) + 18/6. Let u = d + 230. Factor -6/5 + u*z + 2/5*z**2.
2*(z - 1)*(z + 3)/5
Let d = 64 - 59. Let m(k) be the third derivative of 0 + 0*k**3 + 1/330*k**d - 1/1155*k**7 + 0*k - 11*k**2 + 0*k**6 + 0*k**4. Determine a, given that m(a) = 0.
-1, 0, 1
Let j(f) be the first derivative of 8*f + 7 - 4/3*f**3 - 2*f**2. Factor j(q).
-4*(q - 1)*(q + 2)
Let w(i) be the third derivative of i**6/420 - 43*i**5/210 - 46*i**4/21 - 188*i**3/21 + i**2 - 30*i. Let w(m) = 0. Calculate m.
-2, 47
Let r(x) = 3*x**2 + 12*x + 3. Suppose -1 = n - w - 0*w, 4*w - 12 = 0. Let l(v) = 8*v**2 + 37*v + 8. Let i(c) = n*l(c) - 7*r(c). Factor i(a).
-5*(a + 1)**2
Let n(g) = g**3 + 11*g**2 - 25*g + 15. Let a be n(-13). Factor -3*k**4 + 2*k**2 - 8*k**3 + 8*k**4 + 2*k**a - k**5.
-k**2*(k - 2)**2*(k - 1)
Let p(g) be the second derivative of -5*g**4/3 - 142*g**3 + 172*g**2 - 64*g. Factor p(a).
-4*(a + 43)*(5*a - 2)
Factor -25*a - 5*a + 163 + 5*a**2 - 298.
5*(a - 9)*(a + 3)
Let t = -93/8 - -845/72. Let a(g) be the second derivative of -g + 0*g**2 - 1/9*g**3 + 0 + t*g**4 - 1/30*g**5. Factor a(z).
-2*z*(z - 1)**2/3
Let t(f) be the second derivative of -81*f**7/14 + 54*f**6 - 216*f**5 + 480*f**4 - 640*f**3 + 512*f**2 - f + 84. Factor t(x).
-(3*x - 4)**5
Let z be 7 - ((2 - 2) + 0). Factor -z*m**2 + 10 + 10 + 2*m**2.
-5*(m - 2)*(m + 2)
Let d(l) = -5*l**2 + 20*l + 136. Let n(z) = 4*z**2 - 20*z - 130. Let b(x) = -5*d(x) - 6*n(x). Factor b(w).
(w + 10)**2
Suppose -561 + 555 = 2*z + 4*o, 0 = -3*z + 3*o + 18. Factor 0*k - 4/3*k**z + 0 - 2/3*k**4 - 2/3*k**2.
-2*k**2*(k + 1)**2/3
Let b = -365/12 + 92/3. Let c(j) be the third derivative of -b*j**5 + 0 + 0*j + 13/36*j**4 - 5/144*j**6 + 25/252*j**7 - 4*j**2 - 2/9*j**3. Factor c(z).
(z + 1)*(5*z - 2)**3/6
Let u be 1/(6/5490*3). Let i be 7 - (-2 + u/35). Solve i*s + 0 - 2/7*s**2 = 0.
0, 1
Let x(m) be the third derivative of m**6/40 - 7*m**4/8 - 3*m**3 + 259*m**2. What is q in x(q) = 0?
-2, -1, 3
Suppose 0*x - 2*x = -3*w + 4, w - 8 = -x. Find m such that m - w*m + 16*m**3 - 16*m**4 - m - 3*m**5 - 8 - 9*m**5 + 24*m**2 = 0.
-1, 2/3, 1
Let q = 5102 - 5098. Suppose 3/5*n**3 - 1/5*n**q - 3/5*n**2 + 0 + 1/5*n = 0. Calculate n.
0, 1
Let c(a) be the third derivative of 3*a**5/80 - 17*a**4/48 - a**3/3 - 122*a**2. Factor c(l).
(l - 4)*(9*l + 2)/4
Suppose -157 = -2*g + 7. Let z = g + -242/3. Factor 0*l - z*l**2 - 2/3*l**4 + 0 - 2*l**3.
-2*l**2*(l + 1)*(l + 2)/3
Let f = 976/2739 + -21/913. Factor -f*d**2 - 2/3*d + 8/3.
-(d - 2)*(d + 4)/3
Suppose -6*l - 4*l = 0. Let z be (-1)/6*(-1 - l - 3). Find b, given that -4/3*b**2 + z*b**3 + 0 + 0*b = 0.
0, 2
Let -51842/5 - 2/5*k**2 + 644/5*k = 0. What is k?
161
Determine f so that 321 - 57*f**2 - f**3 - 210*f + 281 - 573*f + 239 = 0.
-29, 1
Let a(i) = -i**2 - 5*i + 17. Let m be a(-7). Factor 3*h + 2*h**5 + 9*h**m + 3*h**3 - h**4 - 8*h**2 - 7*h**4 - h.
2*h*(h - 1)**4
Let f be 11/10 + 1/(-2). Suppose 0 = 19*h - 30547 + 30509. Factor -f*n**5 + 0*n + 0*n**h + 0 - 6/5*n**4 - 3/5*n**3.
-3*n**3*(n + 1)**2/5
Let m(o) be the first derivative of o**4 - 4*o**3 - 18*o**2 + 108*o + 168. Find z such that m(z) = 0.
-3, 3
Let c(r) be the first derivative of 4*r**5/5 + 3*r**4 - 28*r**3/3 - 30*r**2 + 72*r - 42. Determine o, given that c(o) = 0.
-3, 1, 2
Suppose 2*l = -2*a, -8 = -5*l - 3*a - 2. Let b(t) be the first derivative of 5 + 3/20*t**4 - 3/10*t**2 + 0*t + 0*t**l. Let b(i) = 0. What is i?
-1, 0, 1
Let z(d) be the third derivative of -d**5/240 + d**4/8 - 35*d**3/24 - d**2 - 368*d. Find g such that z(g) = 0.
5, 7
Let b(z) be the third derivative of z**6/1800 - 7*z**5/600 + z**4/20 - 17*z**3/2 + 3*z**2 + 14*z. Let p(x) be the first derivative of b(x). Factor p(o).
(o - 6)*(o - 1)/5
Let z be (10/(-4))/(9/(-36)). Let x = z - 4. Solve 19*t**2 - 8*t - 7*t**2 - x*t**3 + 2*t**3 = 0.
0, 1, 2
Let o(q) be the second derivative of -q**5/10 - 7*q**4/6 - 10*q**3/3 - 186*q. Factor o(x).
-2*x*(x + 2)*(x + 5)
Suppose -2*x + 0*y + 5*y = 1, 3*x - y - 5 = 0. Factor 12/7 + 3/7*b**x + 12/7*b.
3*(b + 2)**2/7
Factor 0*w - 4*w**4 + 0 - 4/5*w**5 - 32/5*w**3 - 16/5*w**2.
-4*w**2*(w + 1)*(w + 2)**2/5
Let x(g) be the first derivative of g**8/560 - g**6/120 - 10*g**3/3 + 2. Let p(w) be the third derivative of x(w). Factor p(h).
3*h**2*(h - 1)*(h + 1)
Let n = 13 + -2. Let b(a) = -a**2 + a**3 + n - a**4 - 10 + 0*a**2. Let t(k) = -12*k**4 + 7*k**3 - 17*k**2 - 4*k + 10. Let z(p) = 22*b(p) - 2*t(p). Factor z(o).
2*(o + 1)**4
Let -4*n**3 - 1/7*n**4 + 4*n + 0 + 1/7*n**2 = 0. What is n?
-28, -1, 0, 1
Suppose -11 = u + 3*o, 0*u - 3*o = 2*u + 7. Suppose -b - u*b = -25. Factor 3*a**5 - 5*a**4 - 2*a**2 + b*a**2 - 6*a**2 - 4*a**4 + 9*a**3.
3*a**2*(a - 1)**3
Let d = 202 - 112. Solve 111*n**2 + 12 + 24*n**3 + d*n + 39*n**3 + 12*n**4 - 18*n = 0 for n.
-2, -1, -1/4
Suppose 4 - 12 = 2*p. Let r(g) = -g**3 + g**2 - g + 1. Let n(b) = 12*b**2 - 4*b + 4. Let j(x) = p*r(x) + n(x). Solve j(i) = 0 for i.
-2, 0
Let r = 13 + -19. Let d be 2/4 - (r/(-44) - 0). Determine c, given that -2/11*c**2 - 6/11*c - d = 0.
-2, -1
Let b(r) = -r. Suppose 0*l = -l + 5*x + 11, 5*l = 3*x + 11. Let q(t) = -t**2 + 11*t - 4. Let w(g) = l*q(g) + 6*b(g). Determine y, given that w(y) = 0.
1, 4
Let -89/5*c + 209/5*c**2 - 12*c**3 + 6/5 = 0. What is c?
1/12, 2/5, 3
Let n(c) be the second derivative of c**6/60 - 7*c**5/40 - 5*c**4/12 + 4*c**3/3 + 2*c - 53. Factor n(w).
w*(w - 8)*(w - 1)*(w + 2)/2
Let p(b) be the first derivative of b**4/42 + 4*b**3/21 + 4*b**2/7 - 16*b + 17. Let z(k) be the first derivative of p(k). Find x, given that z(x) = 0.
-2
Factor -25 + 10*u**2 - 281*u + 116*u + 120*u.
5*(u - 5)*(2*u + 1)
Let x(j) be the third derivative of j**5/60 + 2*j**4/3 - 17*j**3/6 - 73*j**2. Factor x(i).
(i - 1)*(i + 17)
Factor -4/7*k**3 - 340/7*k - 176/7*k**2 - 24.
-4*(k + 1)**2*(k + 42)/7
Let r(t) be the second derivative of t**6/165 + t**5/10 + 13*t**4/22 + 15*t**3/11 + 34*t - 2. Let r(i) = 0. What is i?
-5, -3, 0
Let w = -63 - -253/4. Let p be 3 - (-13)/(-6) - (-10)/(-120). Suppose q**2 + p*q**3 - q + w*q**5 + 0 - q**4 = 0. What is q?
-1, 0, 1, 2
Let i(u) = -u**3 + u**2. Let b(n) = -4*n**3 + 6*n**2 - 2*n. Let q(k) = b(k) - 5*i(k). Find v such that q(v) = 0.
-2, 0, 1
Let v(z) = -z**2 + 223*z - 11310. Let l be v(78). What is g in -2*g**5 + 1/6*g**2 + 0 + g**3 + 5/6*g**4 + l*g = 0?
-1/3, -1/4, 0, 1
Let c(d) = d**2 + 9*d + 8. Let l(y) = 3*y. Let w(f) = -3*c(f) + 3*l(f). Find j such that w(j) = 0.
-4, -2
Suppose 3/5*u**3 - 1/5*u**4 - 3/5*u - 4/5 + u**2 = 0. Calculate u.
-1, 1, 4
Let -1/3*v**3 - 4/3*v**2 - 