) be the second derivative of 0 + 1/21*r**4 + 0*r**2 - 18*r - 1/70*r**5 + 0*r**3. Let j(z) = 0. Calculate z.
0, 2
Suppose -n = -4*l - 80, -2*l - 5*n - 40 = -3*n. Let i be 2/3 + l/48. Determine f, given that 0*f - 1/4*f**2 + i = 0.
-1, 1
Let d(w) be the first derivative of -5*w**4/7 + 12*w**3/7 + 34*w**2/7 + 12*w/7 - 214. Determine q so that d(q) = 0.
-1, -1/5, 3
Let z = -293 + 295. Let p(b) be the second derivative of 0 + 1/9*b**3 + 0*b**z - 1/30*b**5 + 6*b + 0*b**4. Factor p(i).
-2*i*(i - 1)*(i + 1)/3
Let j be ((-324)/(-567))/(1*(-1)/(-7)). Let g(q) be the third derivative of 0*q**3 - 6*q**2 + 1/4*q**j - 2/15*q**5 + 0*q + 1/60*q**6 + 0. Factor g(m).
2*m*(m - 3)*(m - 1)
Let w(r) be the third derivative of r**5/40 - 3*r**4/8 - 7*r**3/4 + 309*r**2. Factor w(g).
3*(g - 7)*(g + 1)/2
Let k(q) = -42*q**2 - 34*q + 8. Let s(u) = -41*u**2 - 33*u + 8. Let i(o) = 3*k(o) - 4*s(o). Find h, given that i(h) = 0.
-1, 4/19
Let j(d) = d**4 + 9*d**3 + 3*d**2 - 5*d - 6. Let x be -1 - 0/(2 - 5). Let i(z) = -20*z**2 + 20*z**2 + z**3 - z - 1. Let m(s) = x*j(s) + 6*i(s). Factor m(f).
-f*(f + 1)**3
Let h(a) be the second derivative of -a**9/3024 + a**8/1344 - 19*a**4/12 + 20*a. Let o(j) be the third derivative of h(j). Find m, given that o(m) = 0.
0, 1
Suppose r - 25 = 11. Let q = 41 - r. Determine s, given that 1/4 + 0*s - 5/2*s**2 - 15/4*s**4 + q*s**3 + s**5 = 0.
-1/4, 1
Let c(g) be the third derivative of 11/42*g**4 + 0 - 121/21*g**3 - 1/210*g**5 + 11*g**2 + 0*g. Suppose c(k) = 0. Calculate k.
11
Let w = 13 - -13. Solve -64*b - 2 + 5*b**3 + 29*b**3 - 14 - 52*b**2 + 72*b**4 + w*b**3 = 0.
-2/3, -1/2, 1
Let s = 9367 + -9367. Determine u so that s*u**3 + 0*u - 1/5*u**4 + 0 + 1/5*u**2 = 0.
-1, 0, 1
Let w be (-8 - 1)*(-46700)/(-210). Let h = -1998 - w. Let -h*r**2 - 128/7 - 2/7*r**3 - 96/7*r = 0. What is r?
-4
Let h(i) be the third derivative of i**6/300 + 2*i**5/75 - 5*i**4/12 - 28*i**3/15 - i**2 - 213*i. Factor h(w).
2*(w - 4)*(w + 1)*(w + 7)/5
Let o(r) be the second derivative of r**7/6300 + r**6/1800 + r**4/4 + 10*r. Let v(c) be the third derivative of o(c). Determine m so that v(m) = 0.
-1, 0
Let z(y) be the third derivative of y**6/60 - 2*y**5/15 + y**4/12 + 2*y**3 + 28*y**2. Suppose z(w) = 0. What is w?
-1, 2, 3
Let q be (-2904)/31920 - 4/(-38). Let o(n) be the second derivative of 0 - 1/20*n**4 + n - q*n**7 + 0*n**2 + 3/100*n**5 + 0*n**3 + 1/50*n**6. Factor o(a).
-3*a**2*(a - 1)**2*(a + 1)/5
What is m in -21/5*m**2 + 99/5*m + 6 = 0?
-2/7, 5
Solve 4/9*l - 2*l**3 + 10/9*l**2 + 14/9*l**5 + 0 - 10/9*l**4 = 0.
-1, -2/7, 0, 1
Let p(q) = 18*q**2 + 2*q - 2. Let j be p(1). Suppose -j - 12 = -6*t. Factor -7*b + 10*b**t + 18*b**3 - 24*b**4 + 7*b - 4*b**2 + 0*b**5.
2*b**2*(b - 1)**2*(5*b - 2)
Let n(h) = 4*h + 32. Let o be n(-7). Suppose u = -2*v + 4, 2*v = -4*u + 4*v - o. Solve u + 6/7*j**3 + 0*j**4 + 0*j**2 - 3/7*j**5 - 3/7*j = 0.
-1, 0, 1
Let x be ((-2)/6 - 12/18)*(-24)/168. Determine p so that -2/7*p**3 + 40/7*p - x*p**4 + 12/7*p**2 + 32/7 = 0.
-2, 4
Let c(a) = a**3 - a**2 - 4*a - 2. Let z be c(-1). Let r(q) be the third derivative of -3*q**2 + 1/2*q**4 + 0*q + 2*q**3 + 1/20*q**5 + z. Factor r(o).
3*(o + 2)**2
Let a(r) = 4*r**5 + 21*r**4 + 20*r**3 + 9*r**2 + 2*r. Let s(v) = 8*v**5 + 41*v**4 + 41*v**3 + 19*v**2 + 4*v. Let q(u) = 7*a(u) - 4*s(u). Solve q(c) = 0.
-2, -1, -1/4, 0
Let d(w) = -7*w + 19. Let v be ((-22)/(-55))/(-2 + (-11)/(-5)). Let r be d(v). Factor -3/2*x**3 - 5/6*x**r + 2*x**4 + 0 + 1/3*x**2 + 0*x.
-x**2*(x - 1)**2*(5*x - 2)/6
Let g(k) be the first derivative of -k**3/9 + 6*k**2 - 108*k + 176. Factor g(z).
-(z - 18)**2/3
Let n(p) = -p**4 + 3*p**3 + 26*p**2 - 40*p + 20. Let m = 5 - 9. Let w(l) = -l**4 + 2*l**3 + 25*l**2 - 41*l + 21. Let d(s) = m*w(s) + 3*n(s). Factor d(a).
(a - 2)**2*(a - 1)*(a + 6)
Let l be (-4)/(4*-3)*81. Determine u so that 30*u**3 - 21*u**5 + 35*u**3 + 95*u**2 + l*u**5 + 20 + 29*u**5 - 115*u**4 - 100*u = 0.
-1, 2/7, 1, 2
Suppose 29*o = 90*o. Let w be (-1)/(-6) - 1/(-2). Factor o + 2/3*t + w*t**2.
2*t*(t + 1)/3
Let 91/5 + 18*h - 1/5*h**2 = 0. Calculate h.
-1, 91
Let z(n) be the third derivative of 0*n**3 - 1/112*n**8 - 44*n**2 + 0 - 1/2*n**4 - 13/40*n**6 + 3/35*n**7 + 0*n + 3/5*n**5. Suppose z(c) = 0. Calculate c.
0, 1, 2
Suppose -8/9*v + 10/9*v**2 + 0 - 2/9*v**3 = 0. What is v?
0, 1, 4
Let g(y) be the second derivative of 0 - 2*y - 10/3*y**3 + 1/4*y**5 - 5/12*y**4 + 10*y**2. Find u such that g(u) = 0.
-2, 1, 2
Let n(x) be the first derivative of -x**5/30 - 11*x**4/6 - 194*x**3/9 + 176*x**2 - 384*x + 97. Suppose n(m) = 0. Calculate m.
-24, 2
Let c be 8 + -5 + 1*2. Factor 9*z + 0*z**4 - z**3 - 4*z**3 - z**3 + 9*z**4 - 3*z**c - 3 - 6*z**2.
-3*(z - 1)**4*(z + 1)
Let m(x) be the first derivative of -2/21*x + 15 + 2/21*x**2 - 2/63*x**3. Determine u, given that m(u) = 0.
1
Find h, given that 304/5 + 92/5*h**2 - 4/5*h**3 - 64*h = 0.
2, 19
Let c = 310 - 306. Let g(l) be the first derivative of -3 + l**3 + 9/2*l**2 - 9/4*l**c - 6*l + 3/5*l**5. Find a, given that g(a) = 0.
-1, 1, 2
Let d(u) be the third derivative of -u**8/3360 - u**7/630 + u**6/360 + u**5/30 + 5*u**4/8 + 10*u**2. Let t(a) be the second derivative of d(a). Solve t(f) = 0.
-2, -1, 1
Let 64*l - 26*l**4 - 140*l**5 + 96*l**3 - 128*l**2 - 6*l**4 + 144*l**5 = 0. Calculate l.
0, 2
Let q(r) be the second derivative of r**7/126 - r**6/30 - r**5/60 + 11*r**4/36 - 2*r**3/3 + 2*r**2/3 - 35*r. Determine m, given that q(m) = 0.
-2, 1, 2
Let b(i) be the second derivative of -i**6/225 + 2*i**5/25 - 7*i**4/30 + 2*i**3/9 - 528*i. Factor b(o).
-2*o*(o - 10)*(o - 1)**2/15
Factor -11*c + 50/7 + 3/7*c**2.
(c - 25)*(3*c - 2)/7
Let g(v) be the second derivative of -v**4/24 - 6*v**3 - 324*v**2 + 618*v. Let g(s) = 0. What is s?
-36
Let x(g) = g**2 + g. Let d(m) = 6*m**2 + 8*m. Let l(a) = d(a) - 4*x(a). Determine r so that l(r) = 0.
-2, 0
Let j = -82363/5 + 16473. Solve 0 - j*f**3 + 0*f + 2/5*f**4 + 0*f**2 = 0 for f.
0, 1
Let w(b) = -b - 6. Let f be w(-6). Suppose -4*g + 2*t + 4 = f, -t = -g - 3 + 5. Suppose 8/7*z**3 + g*z + 0 - 6/7*z**4 - 2/7*z**2 = 0. Calculate z.
0, 1/3, 1
Let r(u) = -u**3 - 8*u**2 - 10*u + 14. Let c be r(-6). Factor -983 + 3*p**2 + 1007 - 2*p**2 + c*p**2 - 18*p.
3*(p - 4)*(p - 2)
Let k(t) be the third derivative of t**7/30 + 9*t**6/20 + 11*t**5/20 - 7*t**4/12 + 6*t**2 + 3. Factor k(x).
x*(x + 1)*(x + 7)*(7*x - 2)
Let w(l) be the second derivative of -1/3*l**4 + l + 8*l**2 + 0 - 2*l**3. Factor w(q).
-4*(q - 1)*(q + 4)
Let q be 1*(-285)/(-55) - (-9 + 14). Determine f, given that 4/11*f**2 - 2/11 + q*f = 0.
-1, 1/2
Let l(z) be the second derivative of z**7/147 - z**6/105 + 154*z. Solve l(i) = 0.
0, 1
Let i(k) = 2*k**2 - 37*k + 167. Let s be i(11). Factor -1/8*h**s - 9/4*h - 81/8.
-(h + 9)**2/8
Let u = -999/20 - -181/5. Let p = -263/20 - u. Let 0*j**3 + 0 + 3/5*j**4 - p*j**2 + 0*j = 0. What is j?
-1, 0, 1
Find q such that 10/3*q**3 + 4*q**4 + 2/3*q**5 + 0*q**2 + 0 + 0*q = 0.
-5, -1, 0
Let x(h) be the first derivative of h**8/2800 + h**7/700 + h**6/600 + 7*h**3/3 + 40. Let y(j) be the third derivative of x(j). Factor y(f).
3*f**2*(f + 1)**2/5
Let r(s) be the third derivative of -s**5/45 - s**4/6 - 4*s**3/9 - 83*s**2 - 2*s. Find v, given that r(v) = 0.
-2, -1
Let f be (-765)/(-425)*(-10)/(-8). Factor 3/4*x**2 + 15/4*x - 3/4*x**3 + f.
-3*(x - 3)*(x + 1)**2/4
Let c(t) = 2*t**3 - 21*t**2 - 38*t - 20. Let o(h) = -h**3 + 21*h**2 + 37*h + 19. Let p(l) = -4*c(l) - 5*o(l). Let p(z) = 0. What is z?
-5, -1
Suppose 148 - 53 = -5*x. Let s be 4 - (-2)/3*(x + 16). Let 0 - 2/9*u**3 + 4/9*u**s - 2/9*u = 0. Calculate u.
0, 1
Let b be (-140)/(-12) + (-2)/(-6). Let l(s) be the first derivative of -9*s**3 + b*s - s**3 + 1 - 18*s**2 - 5*s**3 - 2*s**4 - s**4. Factor l(v).
-3*(v + 2)**2*(4*v - 1)
Let l = 6/37 + 13/148. Let d = 2/6977 - -6969/27908. Factor 1/4*o**3 + 0 - 1/4*o**5 - l*o**2 + d*o**4 + 0*o.
-o**2*(o - 1)**2*(o + 1)/4
Let -a**2 + 7*a**2 - 5*a**4 - 3*a**5 + 2*a**3 + 9608*a - 9607*a + 0 - 1 = 0. Calculate a.
-1, 1/3, 1
Let n(f) be the first derivative of 2*f + f**2 - 14 + 1/6*f**3. Factor n(w).
(w + 2)**2/2
Let a(k) be the first derivative of k**7/5460 - 7*k**6/2340 + 2*k**5/195 + 4*k**4/39 + 8*k**3/3 + 7. Let r(m) be the third derivative of a(m). Factor r(q).
2*(q - 4)**2*(q + 1)/13
Suppose -y**2 + 5*y