**2 + 11*v.
-(v - 11)**2/2
Let -17/2 - 35/2*a - 1/2*a**3 - 19/2*a**2 = 0. Calculate a.
-17, -1
Let w(v) be the second derivative of -v**7/480 + 13*v**6/960 - 3*v**5/80 - 7*v**4/4 - 19*v. Let l(p) be the third derivative of w(p). Factor l(t).
-3*(t - 1)*(7*t - 6)/4
Suppose -3*w = 0, 0 = -27*y + 25*y + 2*w. Let h(m) be the first derivative of -2 - 1/6*m**2 + 0*m + 1/12*m**4 + y*m**3. Factor h(d).
d*(d - 1)*(d + 1)/3
Let z(r) be the third derivative of r**10/7560 - r**8/1680 - 17*r**4/24 - 21*r**2. Let k(g) be the second derivative of z(g). Let k(t) = 0. What is t?
-1, 0, 1
Let u be 9*3/(3/1). Let d(r) = -r + 12. Let m be d(u). Factor -4*g**3 + g**4 + 5*g**2 - 2*g + 3*g**3 + 0*g**3 - m*g**3.
g*(g - 2)*(g - 1)**2
Let z(u) be the second derivative of 0 + 1/10*u**2 - 1/60*u**4 - 37*u + 0*u**3. Factor z(a).
-(a - 1)*(a + 1)/5
Let i = 78514/15 + -5234. Factor -2/15*m**2 - 2/15 + i*m.
-2*(m - 1)**2/15
Let l(x) be the first derivative of x**6/120 + x**5/150 - x**4/24 - x**3/15 - 5*x**2/2 + 9. Let h(s) be the second derivative of l(s). Factor h(n).
(n - 1)*(n + 1)*(5*n + 2)/5
Let j(f) = -f**3 + 6*f**2 - 6*f + 2. Let g be j(5). Let k(n) = 7*n**2 + 9*n - 6. Let a(d) = d**2 + d - 1. Let w(t) = g*k(t) + 24*a(t). Let w(c) = 0. What is c?
-1, 2
Let l(t) be the first derivative of -t**6/51 + 12*t**5/85 - 13*t**4/34 + 8*t**3/17 - 4*t**2/17 + 305. Factor l(g).
-2*g*(g - 2)**2*(g - 1)**2/17
Let v(m) be the third derivative of -m**6/40 - 7*m**5/20 - 11*m**4/8 - 5*m**3/2 + 86*m**2 - 1. Find d such that v(d) = 0.
-5, -1
Let v(x) be the third derivative of -1/84*x**4 - 1/420*x**6 + 1/105*x**5 + x**2 + 0 + 0*x**3 + 0*x. Let v(r) = 0. Calculate r.
0, 1
Let p(d) be the first derivative of -d**4/14 - 38*d**3/21 - 64*d**2/7 - 120*d/7 - 92. Solve p(o) = 0.
-15, -2
Suppose 6*d = 4*d + 56. Let t be -11 + 13 + d/(-22). Find g, given that -t + 24/11*g - 18/11*g**2 = 0.
2/3
Let s(g) be the third derivative of g**5/48 - 7*g**4/96 + g**3/12 + 3*g**2 - 4*g. Determine h so that s(h) = 0.
2/5, 1
Let n(s) be the third derivative of 0 + 1/20*s**6 + 1/70*s**7 + 1/20*s**5 - 10*s**2 + 0*s**3 + 0*s**4 + 0*s. Solve n(l) = 0 for l.
-1, 0
Let y be (-2 + (-22)/(-20))/(45/(-75)). Let w(x) be the first derivative of 3 + y*x**2 + 6*x - x**3. Solve w(a) = 0 for a.
-1, 2
Suppose -35 = -4*u - 5*n - 0*n, 4*u - 29 = -3*n. Find j, given that -35/2*j**3 + 0*j + 0 - u*j**4 - 5*j**2 + 15/2*j**5 = 0.
-1, -1/3, 0, 2
Let d(b) be the third derivative of -2 + 3*b**2 + 0*b**4 + 0*b**3 + 0*b**5 + 0*b - 1/90*b**6. Factor d(m).
-4*m**3/3
Let y be 73*(3 + 88/(-30)). Let h = 26/5 - y. Factor -2/3*r**2 - 1/3*r**3 + 0 - h*r.
-r*(r + 1)**2/3
Let z(a) = 3*a - 51. Let r be z(9). Let o(f) = f + 1. Let i(c) = -7*c + 4*c - c**3 - 8 - 4*c. Let x(q) = r*o(q) - 3*i(q). Let x(y) = 0. What is y?
-1, 0, 1
Let t = -76 + 76. Let p be (-3 + t)*(-6)/9. Factor 3/4*y**4 + 3/4*y**3 - 3/4*y**p + 0 - 3/4*y.
3*y*(y - 1)*(y + 1)**2/4
Let h(l) be the first derivative of l**4/4 + 10*l**3/3 + 17*l**2/2 + 10*l - 3. Let x be h(-8). Let 2*v + 6*v + 3 - v - v + 3*v**x = 0. What is v?
-1
Let g be -6 + 0 + 568/112 + 1. Let i(j) be the first derivative of 0*j**3 - 4/35*j**5 + 0*j + 0*j**2 - g*j**4 - 1/21*j**6 + 5. Factor i(q).
-2*q**3*(q + 1)**2/7
Let y(x) be the second derivative of 0 - 1/40*x**5 + 1/48*x**4 + 1/120*x**6 + 0*x**2 + 0*x**3 - 3*x. Let y(u) = 0. What is u?
0, 1
Let v = -381 - -385. Let k(b) be the second derivative of 0*b**2 + 0 + 1/12*b**v - 1/6*b**3 - 7*b. Factor k(m).
m*(m - 1)
Let c(v) be the first derivative of 108*v**5/5 + 81*v**4 - 132*v**3 + 70*v**2 - 16*v - 162. Factor c(g).
4*(g + 4)*(3*g - 1)**3
Let l(v) be the second derivative of -1/6*v**3 + 3*v + 0*v**2 + 0*v**4 + 0 + 1/20*v**5. Suppose l(k) = 0. Calculate k.
-1, 0, 1
Let p(m) = m**2 - 1. Let g(y) = 8*y**2 + 104*y + 96. Let a(z) = g(z) - 4*p(z). Factor a(s).
4*(s + 1)*(s + 25)
Let a be (1 - 6/9) + 4/18. Let s(d) be the first derivative of -1 - 4/9*d - 2/9*d**4 - a*d**2 + 22/27*d**3. Solve s(k) = 0.
-1/4, 1, 2
Let r(g) be the second derivative of 0*g**3 + 0 + 1/90*g**6 + 1/18*g**4 + 0*g**2 - 41*g - 1/63*g**7 + 1/12*g**5. Determine l, given that r(l) = 0.
-1, -1/2, 0, 2
Factor 480*l**2 + 2 + 78 - 220*l**3 - 400*l - 3121*l**4 + 3156*l**4.
5*(l - 2)**3*(7*l - 2)
Let u(n) be the third derivative of -n**8/33600 + n**7/4200 - n**5/150 - n**4 + 44*n**2. Let r(d) be the second derivative of u(d). Solve r(j) = 0 for j.
-1, 2
Let o(m) = m**2 - 3*m - 3. Let c be o(-1). Let f(r) be the first derivative of 0*r - c + 8/3*r**3 - 1/30*r**6 + 2/5*r**5 - 8/5*r**2 - 33/20*r**4. Factor f(t).
-t*(t - 4)**2*(t - 1)**2/5
Suppose -10*o - 3*c + 6 = -5*o, -5*o + 6*c = 12. Factor -8/3*f**2 - 2/3*f**4 + 8/3*f**3 + 0 + o*f.
-2*f**2*(f - 2)**2/3
Let x(h) be the third derivative of h**7/210 + h**6/40 - h**4/6 + 395*h**2. Factor x(g).
g*(g - 1)*(g + 2)**2
Let g(y) be the third derivative of -1/56*y**4 - 1/210*y**5 + 0*y - 42*y**2 + 0 + 1/840*y**6 + 0*y**3. Factor g(f).
f*(f - 3)*(f + 1)/7
Let y(l) be the first derivative of -l**4 - 32*l**3 - 288*l**2 - 113. Factor y(k).
-4*k*(k + 12)**2
Let i(q) be the first derivative of 0*q - 1/120*q**5 + 0*q**3 - 3/2*q**2 + 0*q**4 - 6. Let h(r) be the second derivative of i(r). Suppose h(k) = 0. What is k?
0
Suppose -9*l + 224 = -5*l. Let o = -38 + l. Factor o*q + 12*q**2 + 22 - 9*q**2 + 5.
3*(q + 3)**2
Let r(x) be the second derivative of 0 + 0*x**2 + 9/50*x**5 + 2/15*x**3 - 11/30*x**4 + 2*x. Factor r(w).
2*w*(w - 1)*(9*w - 2)/5
Suppose 0 = o + o - 8. Suppose 24 = -i + 3*m, 442*i - 445*i + 4*m = 27. Solve 19/5*p**2 + 2/5*p + 89/5*p**o + 42/5*p**5 + 64/5*p**i + 0 = 0.
-1, -1/2, -1/3, -2/7, 0
Let i be 444/156 + -2 + -1 + 67/13. Factor 5/3*z + 5*z**2 - 5/3*z**3 - i.
-5*(z - 3)*(z - 1)*(z + 1)/3
Let p(d) = -2*d**4 + 20*d**3 - 84*d**2 + 82*d - 28. Let r(l) = -l**3 - l**2 - l - 1. Let u(b) = 2*p(b) - 6*r(b). Find i such that u(i) = 0.
1/2, 1, 5
Let j(b) be the first derivative of -b**3/18 - 65*b**2/12 - 32*b/3 - 672. Find y such that j(y) = 0.
-64, -1
Let f(p) be the second derivative of p**7/840 + p**6/360 + 17*p**4/12 + 14*p. Let y(c) be the third derivative of f(c). Factor y(j).
j*(3*j + 2)
Let u(j) be the third derivative of 33*j**2 + 1/672*j**8 - 11/48*j**4 + 0*j + 0*j**5 - 1/2*j**3 + 1/70*j**7 + 0 + 1/24*j**6. What is v in u(v) = 0?
-3, -2, -1, 1
Let m(z) = -z**2 - 3*z - 2. Let h(o) be the first derivative of o**3/3 + o + 8. Let c(i) = -2*h(i) - m(i). Factor c(a).
-a*(a - 3)
Let w(m) = -m**2 + 19*m - 28. Let s(p) = -p**2 - p. Let d(x) = -s(x) - w(x). Determine a, given that d(a) = 0.
2, 7
Let b be 10/(-4) - 0 - (-10)/20. Let d be b/(-1) - -4*(-2)/5. Factor -1/5*c**3 + 0*c**2 + d + 3/5*c.
-(c - 2)*(c + 1)**2/5
Let x(j) be the second derivative of 7/240*j**6 + 38*j - 19/96*j**4 + 0*j**2 + 0 + 1/84*j**7 - 11/80*j**5 + 1/8*j**3. Let x(v) = 0. Calculate v.
-3, -1, 0, 1/4, 2
Let k(p) be the third derivative of -18*p**7/175 + 12*p**6/25 + 7*p**5/20 + 3*p**4/40 - 23*p**2 + 3. Factor k(g).
-3*g*(g - 3)*(6*g + 1)**2/5
Let j(w) be the first derivative of 3/8*w**2 - 3/16*w**4 - 1/2*w**3 + 3/2*w + 16. Factor j(b).
-3*(b - 1)*(b + 1)*(b + 2)/4
Let i(z) = z**3 - 66*z**2 + 107*z + 1344. Let n be i(64). Factor 2/23*o**2 + 4/23*o - 2/23*o**3 + n.
-2*o*(o - 2)*(o + 1)/23
Let v(l) be the third derivative of l**7/315 - l**6/180 - l**5/6 - 23*l**4/36 - 10*l**3/9 + 31*l**2. Let v(t) = 0. Calculate t.
-2, -1, 5
Let i(h) be the third derivative of 27*h**2 + 0 + 0*h + 1/60*h**5 - 1/12*h**4 + 1/120*h**6 + 0*h**3. Determine d so that i(d) = 0.
-2, 0, 1
Let r(b) be the third derivative of b**7/210 + b**6/90 - b**5/30 - b**4/6 - 11*b**3/6 + 6*b**2. Let c(x) be the first derivative of r(x). Solve c(t) = 0 for t.
-1, 1
Determine p so that -8/21*p**4 + 16/21*p**2 + 2/21*p - 4/21*p**3 - 8/21 + 2/21*p**5 = 0.
-1, 1, 4
Suppose 0 = -4*j + 12. Let t be (-4)/(-6)*1/(-2) + 202/303. Solve 2/3*d**2 + t*d - 2/3 - 1/3*d**j = 0 for d.
-1, 1, 2
Suppose -25*j + 6 = -28*j. Let x be (((-8)/21)/((-4)/(-24)))/j. Factor x + 2/7*s**4 + 8/7*s - 4/7*s**3 - 6/7*s**2.
2*(s - 2)**2*(s + 1)**2/7
Suppose -4*y = 3*l + 3, 5*y = 4*l + 8 - 4. Factor y + 3*u**2 - 3/2*u - 3/2*u**3.
-3*u*(u - 1)**2/2
Suppose 5*a = 3*t - t + 148, -3*a + 89 = -t. Let m be a/8 + (-3)/(-12). Factor -m*q - 27*q**2 + 6*q**3 + 19*q**2 - 2*q**3 + 8.
4*