(v) be the first derivative of v**3/3 + v + 3. Let l(b) = -2*b**2 + 3*b - 7. Let g(u) = 2*l(u) + 6*x(u). Factor g(o).
2*(o - 1)*(o + 4)
Let z be (-572)/(-456) + 6/(-18). Let k = z + 11/19. Factor 0 - k*x**2 + 3*x.
-3*x*(x - 2)/2
Let v(w) = w**3 + 6*w**2 + w - 2. Let s be v(-4). Let r = s + -26. Let r + 2*p**2 + 24 + 16*p + 3 + 5 = 0. What is p?
-4
Let k(l) be the second derivative of -l**4/18 - 49*l**3/9 - 16*l**2 + 286*l. Factor k(a).
-2*(a + 1)*(a + 48)/3
Let g(p) = -3*p**4 - 6*p**3 + 4*p**2 + 6*p - 3. Let x(f) = -19*f**4 - 37*f**3 + 23*f**2 + 37*f - 17. Let c(v) = -39*g(v) + 6*x(v). Let c(q) = 0. What is q?
-5, -1, 1
Let y(b) be the second derivative of -b**4/48 + 13*b**3/24 + 7*b**2/4 + 26*b - 1. Suppose y(z) = 0. What is z?
-1, 14
Factor 18/5 - 24/5*i + 12/5*i**3 - 6*i**2.
6*(i - 3)*(i + 1)*(2*i - 1)/5
Let l(d) be the third derivative of -d**7/560 - 11*d**6/320 + 13*d**5/160 + 11*d**4/64 - 3*d**3/4 - 12*d**2 + 2. Suppose l(o) = 0. What is o?
-12, -1, 1
Suppose -3*t - 115 = -121. Let p(l) be the first derivative of -3 - 34/35*l**5 - 22/21*l**3 + 5/21*l**6 + 2/7*l**t + 3/2*l**4 + 0*l. Factor p(w).
2*w*(w - 1)**3*(5*w - 2)/7
Suppose 44*h - 25 = 39*h. Suppose -h*m + 221 = -379. Suppose m*y**4 + 45*y**5 + 75*y**4 + 53*y**5 + 8*y**2 - 41*y**4 + 64*y**3 = 0. What is y?
-1, -2/7, 0
Let -3 + 30105*j**2 + 6*j - 1 - 30109*j**2 + 2*j = 0. Calculate j.
1
Let l(n) be the first derivative of n**5/25 - 2*n**4/5 - 2*n**3 - 16*n**2/5 - 11*n/5 + 119. Solve l(p) = 0 for p.
-1, 11
Let b(l) be the first derivative of l**3/3 + l**2 + 2*l + 6. Let w be b(0). Suppose 3/4 - 3/4*a**w + 0*a = 0. What is a?
-1, 1
Suppose 2*k = 3*x - 14, -4*x = -3*k - 18 - 2. Factor -20*l**2 - l**3 - l**x + 5*l**2 - 3*l**3.
-4*l**2*(l + 4)
Let q = -232 + 231. Let n be -12*(-1)/9*q/(-4). Let 5/3*f + f**2 - n*f**3 + 2/3 - 1/3*f**4 = 0. What is f?
-1, 2
Let v = 19 - 10. Let r(h) = h**2 - 6*h - 22. Let t be r(v). Factor 0 - 2/9*m + 2/9*m**t - 4/9*m**2 + 4/9*m**4 + 0*m**3.
2*m*(m - 1)*(m + 1)**3/9
Let o(v) = -13*v**4 + 2*v**3 + 9*v**2 - 6*v. Let l(n) = 2*n**4 - 2*n**2 + n. Let b(m) = 40*l(m) + 5*o(m). What is f in b(f) = 0?
-2, 0, 1/3, 1
Let t(h) be the third derivative of -h**6/216 + h**5/18 - 5*h**4/18 - 5*h**3/3 + 4*h**2. Let w(k) be the first derivative of t(k). Factor w(n).
-5*(n - 2)**2/3
Determine d, given that -225*d**2 - 16875/2 + 2250*d + 10*d**3 - 1/6*d**4 = 0.
15
Let v(d) = -42*d**4 + 135*d**3 - 147*d**2 + 60*d. Let u(b) = -43*b**4 + 136*b**3 - 146*b**2 + 58*b - 1. Let a(q) = 3*u(q) - 2*v(q). Let a(p) = 0. What is p?
1/15, 1
Let o = 42 + -39. Let -d**2 + 3*d**2 + o*d**2 + 3 - 2*d**2 - 6*d = 0. What is d?
1
Let z(p) be the first derivative of p**7/210 + p**6/15 + 4*p**5/15 - p**3 + p**2 - 54. Let u(r) be the third derivative of z(r). Solve u(o) = 0 for o.
-4, -2, 0
Let x(u) be the second derivative of -u**7/28 + u**5/30 - 38*u. Find l, given that x(l) = 0.
-2/3, 0, 2/3
Factor 2*d**2 - 5/3*d**3 + 5/3*d - 2.
-(d - 1)*(d + 1)*(5*d - 6)/3
Let z(w) be the second derivative of w**6/15 - w**5/5 - 6*w**4 + 54*w**3 - 189*w**2 - 108*w - 2. Factor z(l).
2*(l - 3)**3*(l + 7)
Suppose 5*z - 8 = 3*z. Suppose -a = -6 + z. Factor -2/3*y**3 - 2/3*y**4 + 2/3*y + 2/3*y**a + 0.
-2*y*(y - 1)*(y + 1)**2/3
Suppose 0 - 9 = -3*t. Suppose 6*i**t + 7*i**3 + 2*i**3 - 6*i**4 - 10 + 1 + 15*i**2 - 15*i = 0. What is i?
-1, -1/2, 1, 3
Let s be 2/(-6)*((-29745)/(-12))/5. Let k = s - -166. Let 0 + k*q**2 - 1/2*q = 0. Calculate q.
0, 2/3
Let j(w) = -2*w**3 + 0*w**2 + w**3 + w**2. Let m(c) = 16*c**4 - 15*c**3 - c**2. Let u = 327 + -330. Let s(y) = u*j(y) + m(y). Find q such that s(q) = 0.
-1/4, 0, 1
Let u(f) be the third derivative of -f**7/315 - f**6/90 + 11*f**5/360 - f**4/48 + 91*f**2. Find k, given that u(k) = 0.
-3, 0, 1/2
Let g(y) be the second derivative of -y**4/42 - 32*y**3/21 - 256*y**2/7 - 3*y - 18. Factor g(t).
-2*(t + 16)**2/7
Let a(x) = -x**3 - x. Let v(s) = 20*s**3 - 2*s**2 + 16*s + 2. Let n(c) = -36*a(c) - 2*v(c). Factor n(p).
-4*(p - 1)**2*(p + 1)
Let g(t) = 3*t**2 + 69*t + 3. Let y be g(-23). Factor 9/7*i**4 - 6/7*i**y - 6/7*i**2 - 3/7 - 3/7*i**5 + 9/7*i.
-3*(i - 1)**4*(i + 1)/7
Factor 363/5 + 3/5*m**2 + 66/5*m.
3*(m + 11)**2/5
Let r = 711 + -708. Let g be -1 + 0/1 - -24. Suppose 75*h - 60*h**2 - 12*h**r - 30 + 50*h - g*h**3 = 0. What is h?
-3, 2/7, 1
Let w = -323/6 + 653/12. Let v(p) be the first derivative of 3/8*p**2 - 3/16*p**4 - 1/2*p + w*p**3 + 3 - 1/4*p**5. What is o in v(o) = 0?
-1, 2/5, 1
Let r(o) be the first derivative of -5*o - 1/30*o**4 + 0*o**2 - 1/15*o**3 + 2. Let f(a) be the first derivative of r(a). Factor f(q).
-2*q*(q + 1)/5
Let b(w) be the first derivative of -w**5/60 - w**4/36 + 16*w - 5. Let v(s) be the first derivative of b(s). Determine z so that v(z) = 0.
-1, 0
Let y(n) be the second derivative of 2*n**6/15 + n**5 + 3*n**4 + 14*n**3/3 + 4*n**2 + 6*n + 40. Determine v, given that y(v) = 0.
-2, -1
Factor 16*g**3 + 21*g**2 - g - 3*g - 30*g**2 + 21*g**2.
4*g*(g + 1)*(4*g - 1)
Let t(f) be the third derivative of 0*f**3 + 25*f**2 + 0*f + 7/195*f**5 + 0 + 7/780*f**6 + 1/1365*f**7 + 2/39*f**4. Factor t(a).
2*a*(a + 1)*(a + 2)*(a + 4)/13
Let m(p) be the second derivative of -3*p + 9/160*p**5 + 0 + 1/80*p**6 + 0*p**2 - 5/32*p**4 + 1/8*p**3 - 1/112*p**7. Let m(g) = 0. What is g?
-2, 0, 1
Suppose 3 = -k - 3*l, 0*l - 11 = -3*k + l. Suppose -3*o + 6 = 0, -c + k*c = -o + 8. Find s, given that 10*s**2 - 2*s**c - 14*s + 8 + 0*s - 2 = 0.
1, 3
Suppose 15 = 5*p, 4*p = t - 0*p + 10. What is g in 0 - 2*g**3 + 2/3*g - 4/3*g**t = 0?
-1, 0, 1/3
Let v be (40/(-32))/((-1)/4). Suppose 3*s**v - s**3 - 17*s**3 + 69*s**4 + 24*s - 84*s**2 - 24*s**5 = 0. What is s?
-1, 0, 2/7, 2
Let p(o) be the second derivative of -o**7/4410 + o**6/630 + o**5/70 + 5*o**4/12 + o**3/2 + 38*o. Let n(l) be the third derivative of p(l). Factor n(r).
-4*(r - 3)*(r + 1)/7
Let r(d) be the first derivative of -3*d**5/100 + d**3/30 + 10*d**2 + 19. Let c(o) be the second derivative of r(o). Determine f, given that c(f) = 0.
-1/3, 1/3
Let r(z) be the third derivative of -z**7/280 + 3*z**5/40 - z**4/4 + 3*z**3/8 + 11*z**2 + z. Factor r(h).
-3*(h - 1)**3*(h + 3)/4
Suppose -2*w - 5 = -v, -5*v + 13 = -390*w + 392*w. Factor 4/3 - a**2 + 1/3*a**v + 0*a.
(a - 2)**2*(a + 1)/3
Let k(n) = -2*n**3 + n - 4. Let v(g) = 2*g**4 + 54*g**3 + 288*g**2 - 3*g + 12. Let i(s) = 3*k(s) + v(s). Factor i(r).
2*r**2*(r + 12)**2
Let n be 5/(-20)*(0 - (79 - 5)) - 6. Let 15/2*t + 1/2*t**3 + 9/2*t**2 - n = 0. What is t?
-5, 1
Let r(p) be the second derivative of -5/4*p**4 + 1/4*p**5 + 5/2*p**3 - 5/2*p**2 + 4*p + 0. Find o, given that r(o) = 0.
1
Let r(i) be the second derivative of i**6/105 - i**5/70 - 11*i**4/42 + 3*i**3/7 + 18*i**2/7 - 14*i + 8. Determine f so that r(f) = 0.
-3, -1, 2, 3
Let s(a) be the second derivative of -a**5/120 - a**4/12 + a**3/4 + 7*a**2/6 - 36*a + 1. Factor s(c).
-(c - 2)*(c + 1)*(c + 7)/6
Let r(s) = -s - 110. Let x be r(0). Let f be (11/x)/(4/(-10)). Factor -1/4*u**2 + 1/4*u**5 + 1/4*u**4 - f*u**3 + 0*u + 0.
u**2*(u - 1)*(u + 1)**2/4
Suppose 2*d - 7*d = -20. Let y(h) = -h - h + d*h. Let f(m) = m**2 + m - 1. Let r(w) = -4*f(w) + 2*y(w). Factor r(l).
-4*(l - 1)*(l + 1)
Let j(m) = 25*m - 4 - 10*m - 14*m. Let v be j(7). Suppose 3*f**2 + 2 + 1 - 9*f + v = 0. Calculate f.
1, 2
Let x = -712 + 718. Let p(d) be the third derivative of -1/2*d**4 + 3/10*d**5 + 3*d**2 + 0*d + 0 - 1/15*d**x + 1/3*d**3. Find o, given that p(o) = 0.
1/4, 1
Let y(f) be the second derivative of 3*f - 5/24*f**4 + 1/2*f**5 + 0 + 1/12*f**6 - 5/3*f**3 + 0*f**2. Let y(b) = 0. Calculate b.
-4, -1, 0, 1
Let w(b) be the first derivative of -b**7/7560 + b**5/270 - 4*b**3/3 - 12. Let v(a) be the third derivative of w(a). What is g in v(g) = 0?
-2, 0, 2
Let m be ((-204)/136)/(3/(-1)). Find f, given that 7/2*f**5 + 0 + 15/2*f**3 - 19/2*f**4 - m*f**2 - f = 0.
-2/7, 0, 1
Suppose 4*k - 3 = 3*b, 4*k + 0*b - 4*b - 4 = 0. Let l(f) be the second derivative of 3/2*f**2 + 1/8*f**4 + k + 4*f + 3/4*f**3. Solve l(z) = 0 for z.
-2, -1
Let r = 470/1449 + -8/207. Factor -r - 2/7*z**2 - 4/7*z.
-2*(z + 1)**2/7
Let n be ((-399)/27)/((-1)/12). Let s = n + -176. Let -s*h**2 + 0 + 0*h + 2/3*h**3 = 0. Calculate h.
0, 2
Let v(s) be the third derivative of s**5/30 - 23*s**4/6 + 529*s**3/3 - 13*s**2 