2 + v**4.
v**2*(v - 4)*(v + 1)
Let r = 112 + -106. Let k(w) be the third derivative of -5*w**2 + 1/630*w**7 + 0*w**5 + 0*w**r + 0*w**4 + 0 + 0*w**3 + 0*w. Factor k(f).
f**4/3
Let u(n) be the third derivative of 5/3*n**3 + 0*n + 0*n**5 - 1/24*n**6 + 5/8*n**4 + 0 - 6*n**2. Factor u(q).
-5*(q - 2)*(q + 1)**2
Let z(b) be the first derivative of -27/10*b**2 - 6 + 3/5*b**3 - 1/20*b**4 + 27/5*b. Factor z(l).
-(l - 3)**3/5
Let n(i) = -i**2 + i + 1. Let k(g) = 4*g**2 - 1. Suppose 2*h + 0 - 2 = 0. Suppose -4*o - 3 = h. Let c(w) = o*k(w) - 3*n(w). Factor c(s).
-(s + 1)*(s + 2)
Let a(m) be the first derivative of -20 - 1/5*m**3 + 0*m**2 + 3/25*m**5 + 0*m + 0*m**4. Let a(j) = 0. What is j?
-1, 0, 1
Solve -3*x**5 - 30*x + 9*x**4 + 99*x**2 - 11*x**3 + 80*x**3 + 72*x = 0 for x.
-2, -1, 0, 7
Factor -121/3*x**3 + 48 + 385/3*x**2 - 136*x.
-(x - 1)*(11*x - 12)**2/3
Let o = -4903 - -34348/7. Factor -o*i**2 - 6/7*i - 12/7*i**3 + 0.
-3*i*(i + 2)*(4*i + 1)/7
Let n(z) = z**5 - 4*z**4 + 18*z**3 - 16*z**2 + 9*z + 4. Let a(r) = r**5 - 5*r**4 + 18*r**3 - 16*r**2 + 8*r + 3. Let j(q) = 4*a(q) - 3*n(q). Factor j(l).
l*(l - 5)*(l - 1)**3
Let j be ((-36)/4 + 12)*1. Solve 1/3*c**j + 1/3 - 1/3*c - 1/3*c**2 = 0 for c.
-1, 1
Factor -2/7*j + 1/7 + 2/7*j**3 - 1/7*j**4 + 0*j**2.
-(j - 1)**3*(j + 1)/7
Let p(r) be the second derivative of -27*r - 2/3*r**6 - 35/6*r**4 + 0*r**2 - 25/6*r**3 - 13/4*r**5 + 0. Determine b, given that p(b) = 0.
-5/4, -1, 0
Let d(h) be the third derivative of -h**7/18 - 17*h**6/24 + 35*h**5/12 - 145*h**4/72 - 5*h**3 - 13*h**2 + 4*h. Find z, given that d(z) = 0.
-9, -2/7, 1
Let h = -75 - -66. Let q(n) = 3*n + 30. Let f be q(h). What is a in 4/7*a**2 - 2/7*a**f - 2/7*a + 0 = 0?
0, 1
Suppose -c - 2*s + 22 = 0, 3*c - 96 = -c - 4*s. Let z be 2/7 - c/(-7). Solve 7*b + 1 + 14*b - 27*b**2 + 1 + z = 0 for b.
-2/9, 1
Let f(d) be the first derivative of 9*d**5/10 - 51*d**4/8 + 67*d**3/6 - 29*d**2/4 + 2*d - 36. Factor f(c).
(c - 4)*(c - 1)*(3*c - 1)**2/2
Let n be -4 + 3 + (-30)/(-12)*2. Let h(f) be the first derivative of -3/2*f**2 + 0*f - 3/4*f**n - 2*f**3 + 3. Factor h(b).
-3*b*(b + 1)**2
Let j(h) be the first derivative of -h**7/105 + 2*h**6/75 - h**5/50 + 15*h - 34. Let l(k) be the first derivative of j(k). Solve l(u) = 0.
0, 1
Find l, given that 0*l**3 + 0 + 4/5*l**5 + 12/5*l**4 + 0*l - 16/5*l**2 = 0.
-2, 0, 1
Factor -3/2*z + 0 - 4*z**2 + 3/2*z**3.
z*(z - 3)*(3*z + 1)/2
Let y(o) = o**4 - 2*o**3 - 18*o**2 + 58*o - 29. Let a(d) = 3*d**4 - 6*d**3 - 45*d**2 + 144*d - 72. Let u(t) = 5*a(t) - 12*y(t). Let u(m) = 0. What is m?
-2, 1, 2
Let v(k) be the first derivative of -k**6/140 + 2*k**5/105 + k**4/21 + 15*k**2 - 6. Let d(p) be the second derivative of v(p). Factor d(l).
-2*l*(l - 2)*(3*l + 2)/7
Let q(r) be the third derivative of r**5/210 - 4*r**4/21 + 4*r**3/3 - 4*r**2 + 9. Factor q(i).
2*(i - 14)*(i - 2)/7
Let c(i) = -i**2 - 26*i. Let m(a) = 5*a**2 + 106*a. Let t(p) = -13*c(p) - 3*m(p). Factor t(k).
-2*k*(k - 10)
Let f(s) be the second derivative of s**5/40 - s**4/8 - 3*s**3/4 - 5*s**2/4 - 77*s. Factor f(w).
(w - 5)*(w + 1)**2/2
Let p(o) = o**5 + 134*o**4 + 1450*o**3 - 2*o**2 + 2. Let b(i) = -i**5 - 269*i**4 - 2899*i**3 + 5*i**2 - 5. Let n(l) = -2*b(l) - 5*p(l). Factor n(u).
-3*u**3*(u + 22)**2
Let t(r) be the third derivative of r**6/720 - 7*r**5/240 + 5*r**4/24 - 23*r**3/6 - 8*r**2. Let j(m) be the first derivative of t(m). Factor j(p).
(p - 5)*(p - 2)/2
Let v(q) = -17*q**2 + q - 6*q - 13*q**2 + 10*q**2. Let p(d) = 5*d**2 + d. Let y(m) = 25*p(m) + 6*v(m). Suppose y(u) = 0. Calculate u.
0, 1
Let a(h) be the first derivative of -4*h**5/5 - 3*h**4 + 20*h**3 - 34*h**2 + 24*h + 38. Factor a(c).
-4*(c - 1)**3*(c + 6)
Let p(a) be the second derivative of 2*a**7/21 + 382*a**6/15 + 1843*a**5 + 9025*a**4/3 + 638*a. Factor p(v).
4*v**2*(v + 1)*(v + 95)**2
Let c(t) be the first derivative of 9*t**4/4 - 5*t**3 - 24*t**2 + 36*t + 86. Find s, given that c(s) = 0.
-2, 2/3, 3
What is z in 4/3*z**2 + 1/3*z - 2 + 1/3*z**3 = 0?
-3, -2, 1
Let p be ((1 - 6) + 0)*(-22 - -21). Suppose -2*c + c**2 + c + p*c + 0*c = 0. What is c?
-4, 0
Let q(p) be the third derivative of 0*p**4 - 15*p**2 + 3/40*p**5 - 1/40*p**6 - 1/4*p**3 + 0 + 0*p. Factor q(y).
-3*(y - 1)**2*(2*y + 1)/2
Let m(f) be the third derivative of f**6/1080 + f**3/2 + 10*f**2. Let w(c) be the first derivative of m(c). Factor w(n).
n**2/3
Suppose 688*l**2 + 128*l**4 - 44329*l + 112 + 2*l**5 + 44781*l + 2*l**5 + 472*l**3 = 0. Calculate l.
-28, -1
Let y = -53 + 91. Factor 40 - 5*v**2 - 73 + y.
-5*(v - 1)*(v + 1)
Let w be (17/(-2) - -8)*0. Let k(o) be the first derivative of -1/16*o**4 + w*o**2 - 1/12*o**3 + 0*o + 1/10*o**5 - 4. Factor k(b).
b**2*(b - 1)*(2*b + 1)/4
Let t = 5 - 3. Factor -8 + 16 + 4 + 12*p + 3*p**t.
3*(p + 2)**2
Let y(x) be the second derivative of 22*x + 0 + 10/3*x**3 - 1/6*x**4 - 25*x**2. Solve y(t) = 0.
5
Let v(a) be the second derivative of -a**6/30 + 9*a**5/20 - 5*a**4/4 - 25*a**3/6 - a + 11. Solve v(b) = 0 for b.
-1, 0, 5
Let o(v) = -4*v**2 - 12*v. Let l(m) = m**3 + 2*m**2 - m. Let u(n) = -4*l(n) + o(n). Factor u(q).
-4*q*(q + 1)*(q + 2)
Let t(y) = 2*y**2 + 6*y - 4. Let r be t(-5). Suppose -3*s + 2*f + 12 = 0, s + f - r = -3*s. Factor -24*j + 2*j**2 - s*j**2 + 5 + 3 + 20*j**2.
2*(3*j - 2)**2
Let j(c) be the second derivative of c**6/30 + c**5/4 + 7*c**4/12 + c**3/2 + 254*c. Factor j(k).
k*(k + 1)**2*(k + 3)
Let j = 2 + -6. Let t(k) = -9 - 379*k**3 + 3 + 2 - 41*k + 229*k**2 + 3. Let y(d) = -1136*d**3 + 686*d**2 - 124*d - 2. Let m(c) = j*y(c) + 11*t(c). Factor m(f).
3*(5*f - 1)**3
Let 31*w**3 - 11*w**3 - 68*w - 15 + 10*w**2 + 48*w + 6*w**4 - w**4 = 0. Calculate w.
-3, -1, 1
Let c(v) = -v**3 - 2*v**2 - 9*v - 15. Let p be c(-2). Suppose -4*z + 3 = y, -5*z + 20 = y - 3*y. Let 3*t - 10*t**z + t - 2*t + 8*t**p = 0. Calculate t.
0, 1/4, 1
Factor -2*s**2 + 6/7*s + 20/7.
-2*(s + 1)*(7*s - 10)/7
Let f(n) be the second derivative of -n**7/3150 + n**6/600 + n**5/150 - 5*n**4/6 - 24*n. Let v(s) be the third derivative of f(s). What is o in v(o) = 0?
-1/2, 2
Let a(u) = -3*u**3 - 1. Let s be a(-1). Suppose -y + 18 = 4*o - s*y, -4*o = 2*y - 12. Solve 2*k**4 - 9*k**o - 14*k**4 - 9*k**5 + 18*k**3 = 0 for k.
-3, 0, 2/3
Factor -4/9*i**2 - 1/3 + 7/9*i.
-(i - 1)*(4*i - 3)/9
Let h(o) be the first derivative of -o**4/16 + o**3/3 - 5*o**2/8 + o/2 + 70. Factor h(i).
-(i - 2)*(i - 1)**2/4
Let t(o) be the third derivative of -o**7/105 + o**6/30 - o**4/6 + o**3/3 - 36*o**2. Suppose t(z) = 0. What is z?
-1, 1
Let d = -3 + 7. Let g = d + 8. Factor -11 + 7*b + g*b**2 + 14 + 8*b.
3*(b + 1)*(4*b + 1)
Let f be (102 - 94) + (0 - 2)/4 + -7. Factor 8*c - f*c**3 + 10 + 1/2*c**2.
-(c - 5)*(c + 2)**2/2
Let g(w) = -w**2 + 12*w - 9. Let t be g(11). Suppose 20 = 4*y + 4*l, -3*l + 20 = -t*y + l. Factor 2/15*a + 2/15*a**3 + 4/15*a**2 + y.
2*a*(a + 1)**2/15
Let u(j) be the third derivative of -j**8/1176 - 4*j**7/735 - j**6/84 - j**5/105 + 343*j**2. Let u(q) = 0. Calculate q.
-2, -1, 0
Suppose 102*u**2 + 108*u**2 - 214*u**2 + 20*u - 16 = 0. What is u?
1, 4
Let r be (232/(-40) + (5 - (-6 + 4)))/3. Find d such that -6/5*d + 4/5 + r*d**3 + 0*d**2 = 0.
-2, 1
Let c(b) be the third derivative of -b**8/1260 + b**6/360 + b**5/360 - 11*b**3/2 - 39*b**2. Let h(s) be the first derivative of c(s). Factor h(k).
-k*(k - 1)*(2*k + 1)**2/3
Suppose -14*p = -14 - 14. Let u(b) be the first derivative of b**3 + 3 + 0*b - 3/2*b**p. Factor u(o).
3*o*(o - 1)
Suppose 0 = 7*k - 93 + 72. Let o(a) be the second derivative of 11/8*a**k + 0 + 7*a + 13/16*a**4 + 3/20*a**5 + 3/4*a**2. Factor o(g).
3*(g + 1)*(g + 2)*(4*g + 1)/4
Let j(x) be the first derivative of -1/90*x**5 + 0*x**4 + 1/2*x**2 + 0*x + 0*x**3 + 4. Let d(f) be the second derivative of j(f). Find u, given that d(u) = 0.
0
Let x(a) be the second derivative of 2/15*a**6 + 4/5*a**5 + 5/3*a**4 - 2*a + 0 + 0*a**2 + 4/3*a**3. What is o in x(o) = 0?
-2, -1, 0
Let n be 15/(-10)*(-20)/9. Let t(x) be the first derivative of 0*x**2 + 0*x + 15/4*x**4 - 2*x**5 - 5/2*x**6 + n*x**3 + 7. Let t(v) = 0. What is v?
-1, -2/3, 0, 1
Factor 63*q - 6 - 17*q**3 - 11*q**2 - 16*q**2 - q**3 - 17*q**3 + 5*q**3.
-3*(q - 1)*(q + 2)*(10*q - 1)
Let b = -673 + 676. Let i(n) be the third derivative of 0*n**4 + 1/360*n**6 + 0 + 0*n**b + 1/630*n**7 + 0*n + 0*n**