r l(v).
-3*(v - 1)**2*(v + 1)*(v + 3)
Let w(s) = -s**2 - 19*s + 1100. Let g be w(-44). Factor -2/13*l**4 + g*l**3 + 16/13*l + 6/13 + 12/13*l**2.
-2*(l - 3)*(l + 1)**3/13
Let f(o) = -13*o**2 + 248*o - 5542. Let q(t) = -11*t**2 + 250*t - 5543. Let s(d) = 4*f(d) - 5*q(d). What is a in s(a) = 0?
43
Suppose -2*l = 5*u - 61, 0 = 4*u - 0*l + l - 50. Suppose 0 = 18*p - u*p - 10. Find b, given that 0*b**p + 2/9*b**3 + 0 + 0*b = 0.
0
Let g(l) be the second derivative of l**7/18 + l**6/30 - 3*l**5/10 + 2*l**4/9 - 7*l + 58. Solve g(t) = 0 for t.
-2, 0, 4/7, 1
Let u(g) = 8*g + 57. Let j be u(-7). Let f be ((-3 + 2)*j)/((-3)/6). Let 1/4*d**4 + 2*d**f + d + 5/4*d**3 + 0 = 0. Calculate d.
-2, -1, 0
Let o(m) be the second derivative of -m**6/600 - m**5/40 - 3*m**4/20 + 7*m**3/3 - 12*m. Let i(t) be the second derivative of o(t). Solve i(u) = 0 for u.
-3, -2
Let t be ((-1)/3)/((-6)/54). Factor -10*f**t + 383*f - 383*f + 5*f**4 + 5*f**2.
5*f**2*(f - 1)**2
Let y(l) = -3*l**2 - 18*l + 2. Let v be y(-6). Let a be (7/42)/(v/8). Let 0*s - 1/3*s**4 + a*s**3 - 1/3*s**2 + 0 = 0. What is s?
0, 1
Let b(a) be the third derivative of -a**7/70 + 17*a**6/60 + 2*a**5/5 - 60*a**2. Factor b(u).
-u**2*(u - 12)*(3*u + 2)
Suppose 120*t - 151*t - 5 = -98. Factor -8/7 + 16/7*g - 10/7*g**2 + 2/7*g**t.
2*(g - 2)**2*(g - 1)/7
Let i(g) be the second derivative of -g**5/10 + 19*g**4/3 + 80*g**3/3 - 559*g. Determine x, given that i(x) = 0.
-2, 0, 40
Let g = 1713/130 - 170/13. Let k(o) be the second derivative of -3/5*o**2 - g*o**3 + 10*o + 1/20*o**4 + 0. Solve k(b) = 0.
-1, 2
Let h(v) be the third derivative of -v**9/60480 - v**8/14400 - v**7/12600 + 7*v**5/15 + 44*v**2. Let n(p) be the third derivative of h(p). Solve n(m) = 0 for m.
-1, -2/5, 0
Suppose -4*s + 5*k = -40, -s - 6 - 9 = 5*k. Let i(c) be the second derivative of -5/12*c**3 + 3*c - 5/48*c**4 + 0 + 0*c**2 + 1/16*c**s. Factor i(z).
5*z*(z - 2)*(z + 1)/4
Let a(y) be the third derivative of -y**6/40 + 3*y**5/20 - y**4/4 - 8*y**2. Determine v so that a(v) = 0.
0, 1, 2
Let q(k) = 8*k**2 + 64*k - 52. Let s(i) = 3*i**2 + i + 1. Let m(u) = -q(u) + 4*s(u). Find h such that m(h) = 0.
1, 14
Let h(l) be the third derivative of -1/15*l**6 + 4/105*l**7 - 4/3*l**3 - l**2 + 0*l - 8/15*l**5 + 1/84*l**8 - 7/6*l**4 + 0. Factor h(s).
4*(s - 2)*(s + 1)**4
Let n be (9 - 4) + -4 + 2. Solve 4*l + 4*l**n + 2*l - 10*l = 0.
-1, 0, 1
Suppose 3*d + 4*c = -c + 29, -d + 23 = 5*c. Let a(q) be the first derivative of 0*q + 1/25*q**5 + 0*q**d - 3 + 1/10*q**4 + 0*q**2. Factor a(v).
v**3*(v + 2)/5
Let m be (3 - 3)/8 + (2 - 2). Let l(n) be the third derivative of 7*n**2 + 0*n**3 + 0*n + 3/76*n**4 - 1/95*n**5 + m + 1/1140*n**6. Factor l(c).
2*c*(c - 3)**2/19
Let f(a) be the first derivative of -a**7/42 + a**6/8 - a**5/4 + 5*a**4/24 + a**2 + 21. Let r(l) be the second derivative of f(l). Suppose r(s) = 0. What is s?
0, 1
Let z(j) = 4*j**3 - 12*j**2 - 12*j + 12. Let q(t) = -t**4 - 5*t**3 + 13*t**2 + 11*t - 12. Let a(p) = 4*q(p) + 3*z(p). Suppose a(c) = 0. What is c?
-3, -1, 1
Let h(w) be the third derivative of 33*w**2 - 4/9*w**3 + 0*w - 5/27*w**4 + 0 - 7/270*w**5 + 1/270*w**6 + 1/945*w**7. Factor h(l).
2*(l - 3)*(l + 1)*(l + 2)**2/9
Let a(z) = -16*z**4 + 13*z**3 - 23*z**2 + 6*z. Let v(b) = 57*b**4 - 45*b**3 + 81*b**2 - 21*b. Let k(j) = -18*a(j) - 5*v(j). Suppose k(u) = 0. What is u?
0, 1
Let v(r) be the third derivative of r**5/390 - 35*r**4/26 + 3675*r**3/13 - 350*r**2. Solve v(t) = 0.
105
Suppose 6*o + 19*o = 0. Let v(w) be the second derivative of 6*w + 0 + 1/180*w**6 + 0*w**3 + o*w**2 + 0*w**5 - 1/72*w**4. Let v(z) = 0. What is z?
-1, 0, 1
Let x(z) be the first derivative of 1/2*z**2 + 0*z + 9 - 1/3*z**3. Factor x(f).
-f*(f - 1)
Let h(r) = 2*r - 2*r**2 + r**3 - r**5 + 219*r**4 - 219*r**4. Suppose 0*d - 2*d - 6 = 0. Let q(c) = 3*c**2 - 3*c. Let w(t) = d*h(t) - 2*q(t). Factor w(s).
3*s**3*(s - 1)*(s + 1)
Let g(h) be the third derivative of h**7/630 - 17*h**6/180 + 289*h**5/180 + h**2 + 29*h. Factor g(w).
w**2*(w - 17)**2/3
Let t be (-10)/8*((-155)/150 - -1). Let p(n) be the third derivative of 0 + 1/6*n**3 + 0*n + 3*n**2 - t*n**4 + 1/240*n**5. Determine u, given that p(u) = 0.
2
Let -1/5*r**4 - 2/5 - 9/5*r**2 - r**3 - 7/5*r = 0. What is r?
-2, -1
Let j = 1135 + -1135. Factor j + m**3 - 5/4*m**2 + 1/2*m - 1/4*m**4.
-m*(m - 2)*(m - 1)**2/4
Let z(i) be the second derivative of -8/285*i**6 - 10*i + 5/114*i**4 + 0 - 4/399*i**7 - 1/19*i**2 + 1/57*i**3 - 1/190*i**5. Factor z(x).
-2*(x + 1)**3*(2*x - 1)**2/19
Let g(b) = 9*b**2 - 5*b**2 + 8*b**2 - 12*b. Let u be 5/(-2)*4/(-5). Let x(j) = -3*j**2 + 3*j. Let i(t) = u*g(t) + 9*x(t). Let i(l) = 0. What is l?
0, 1
Factor -1/4*v**2 + 63/2*v - 3969/4.
-(v - 63)**2/4
Factor 0 + 9/4*v**3 - 7/4*v**2 - 1/2*v.
v*(v - 1)*(9*v + 2)/4
Let p be (-21)/(-245)*(5 - -5). Suppose -5*x = -25, -2*b + 0*b = -x - 1. Factor -6/7 - 2/7*u**b + p*u**2 + 2/7*u.
-2*(u - 3)*(u - 1)*(u + 1)/7
Find s such that 2*s**2 - 4/3*s + 8*s**3 + 0 + 14/3*s**4 = 0.
-1, 0, 2/7
Let y(h) = -667*h - 55779. Let l(n) = 2*n**2 + n - 1. Let f(c) = -2*l(c) + 2*y(c). Determine t, given that f(t) = 0.
-167
Find s, given that -87*s - 33*s**2 + 74*s**2 - 40*s**2 + 86 = 0.
1, 86
Let y(i) be the second derivative of i**5/80 + 31*i**4/48 + 59*i**3/24 + 29*i**2/8 - 219*i. Factor y(g).
(g + 1)**2*(g + 29)/4
Let i be 12/(-30) + (-99)/(-360) - (-270)/112. What is v in 16/7 - 4/7*v**3 + 4/7*v - i*v**2 = 0?
-4, -1, 1
Factor 27/7*y**4 - 114/7*y**3 + 0 - 24/7*y + 132/7*y**2.
3*y*(y - 2)**2*(9*y - 2)/7
Let t = -374 - -376. Let r(f) be the third derivative of -5*f**t + 8/3*f**3 - 1/60*f**6 + 1/3*f**4 + 0 - 1/15*f**5 + 0*f. Factor r(y).
-2*(y - 2)*(y + 2)**2
Let r(d) = 2*d**2 - 6*d + 8*d - d. Let c be r(1). Find y such that -7/5*y**2 - 9/5 + 3*y + 1/5*y**c = 0.
1, 3
Let j = 150 + -2699/18. Let u(z) be the second derivative of 0*z**2 + 0 - 2*z + 0*z**3 - j*z**4 + 1/60*z**5. Let u(f) = 0. What is f?
0, 2
Let s(k) be the third derivative of -k**5/40 + 47*k**4/16 + 12*k**3 + 16*k**2 - 4*k. Solve s(d) = 0 for d.
-1, 48
Suppose -31*d + 2*d + 58 = 0. Factor -34/13*o + 6/13 + 48/13*o**d.
2*(3*o - 1)*(8*o - 3)/13
Let j be (8 - 8)/(-11 + 16). Factor -242/3*g**4 + j + 8/9*g - 22/9*g**3 + 64/9*g**2.
-2*g*(3*g - 1)*(11*g + 2)**2/9
Let m be (-1)/4 + 1/4. Let k be ((-5)/40*4)/((-15)/10). What is u in k*u**2 + u + m = 0?
-3, 0
Let f be (3/(-10))/((-6)/55)*11/121. Factor 0 + 1/8*u**2 - 1/8*u**4 + f*u**3 - 1/4*u.
-u*(u - 2)*(u - 1)*(u + 1)/8
Let h = -5249/25 - -210. Let t(z) be the second derivative of 0*z**3 + 0 + h*z**6 - 2*z + 1/105*z**7 + 3/50*z**5 + 0*z**2 + 1/30*z**4. Factor t(n).
2*n**2*(n + 1)**3/5
Factor -3600/11 - 1/11*q**2 + 120/11*q.
-(q - 60)**2/11
Let z = -33 - -33. Factor 15*g + z*g**3 - 9 - 15*g**2 + 4 + 0*g + 5*g**3.
5*(g - 1)**3
Find a, given that -12 + 5*a**2 - 61*a**3 - 8*a + 144*a**3 - 82*a**3 = 0.
-6, -1, 2
Find q such that -6304 - 6299 + 12393 - 25*q**3 + 565*q - 90*q**2 = 0.
-7, 2/5, 3
Let o be 40/(-48) - (-1744)/480. Determine v, given that -6/5*v**3 + o*v**2 + 2/5 - 2*v = 0.
1/3, 1
Let c be 0/(-5) - 964/(-1834). Let k = c - -6/131. Factor 0*o**4 + 0 + 2/7*o**5 + 0*o**2 + 2/7*o - k*o**3.
2*o*(o - 1)**2*(o + 1)**2/7
Factor 188*i**2 + 30*i**2 - 6*i**3 - 28*i**2 - 52*i + 22*i**3 + 14*i**2.
4*i*(i + 13)*(4*i - 1)
Let m(w) be the first derivative of 0*w + 1/12*w**3 - 3/20*w**5 - 18 - 1/4*w**4 + 1/4*w**2. Find x such that m(x) = 0.
-1, 0, 2/3
Let d(l) be the first derivative of -5*l**4/18 - 14*l**3/27 - 2*l**2/9 - 131. Factor d(f).
-2*f*(f + 1)*(5*f + 2)/9
Let r(h) be the first derivative of h**5/45 - 5*h**4/18 + 4*h**3/3 - 7*h**2 + 25. Let x(l) be the second derivative of r(l). Factor x(m).
4*(m - 3)*(m - 2)/3
Solve 0*k**2 - 1/7*k**5 - 16/7*k**3 + 8/7*k**4 + 0 + 0*k = 0 for k.
0, 4
Let n(x) be the first derivative of 5*x**3/9 + 125*x**2/6 - 140*x + 27. Factor n(z).
5*(z - 3)*(z + 28)/3
Let h(o) be the third derivative of -o**6/300 - 3*o**5/50 + o**4/5 + 4*o**3/3 - 3*o**2 + 15*o. Suppose h(t) = 0. What is t?
-10, -1, 2
Let x = -1234661/33 + 37420. Let o = x + -37/11. Factor o*f + 50/3*f**3 + 0 + 40/3*f**2.
2*f*(5*f + 2)**2/3
Suppose c + 30 - 38 = 0. Find t, given that 9*t**2 + 0*t**2 + c*t + 10 + 0*t**2 - 11*t**2 = 0.
-1, 5
Let r(z) be the first derivative of 5*z**4/72 + 5*z**3/6 + 15*z**2