*g + 1/15*g**3 - 1/20*g**4 + 3*g**x + 1/50*g**5 + 0. Suppose q(l) = 0. What is l?
1
Let m(j) be the second derivative of -j**5/140 - j**4/14 - 2*j**3/7 - 14*j**2 - 16*j. Let u(a) be the first derivative of m(a). Solve u(v) = 0.
-2
Let x = 11 + -8. Let d(i) = -170*i**3 - 105*i**2 + 90*i + 25. Let f(a) = 13*a**3 + 8*a**2 - 7*a - 2. Let o(l) = x*d(l) + 40*f(l). Factor o(v).
5*(v - 1)*(v + 1)*(2*v + 1)
Factor 128*x**2 - 250*x + 460 - 208 - 130*x**2.
-2*(x - 1)*(x + 126)
Let i be ((-465)/(-35))/(324/(-8)). Let j = 1/189 - i. Determine z, given that -1/3*z**3 - 1/3*z**2 + 1/3 + j*z = 0.
-1, 1
Suppose -3*t = 4*y - 42, 3*t - 7*t = -y - 37. What is p in p**5 + t*p**3 - 6*p**4 + p**5 - 4*p**4 + 2*p**4 - 4*p**2 = 0?
0, 1, 2
Let t(u) be the first derivative of -u**3/2 + 177*u**2 - 20886*u - 140. Determine v so that t(v) = 0.
118
Factor -4*y**3 + 0*y + 0*y**2 + 100/3*y**5 - 194/3*y**4 + 0.
2*y**3*(y - 2)*(50*y + 3)/3
Let a(t) be the first derivative of -1/60*t**4 + 0*t - 1/450*t**6 - 1/100*t**5 + 0*t**2 - 3 - 2/3*t**3. Let l(k) be the third derivative of a(k). Factor l(c).
-2*(c + 1)*(2*c + 1)/5
Suppose -1/2*d**3 + 1/2*d + 1/2*d**2 - 1/2 = 0. What is d?
-1, 1
Let l(k) be the second derivative of -k**4/96 - 5*k**3/24 - k**2 + 70*k. Let l(y) = 0. What is y?
-8, -2
Let t = -2/541 + 563/5951. Factor -2/11 + 1/11*v**2 + t*v.
(v - 1)*(v + 2)/11
Let c(v) be the third derivative of -v**5/180 + 5*v**4/36 + 4*v**3/3 - 149*v**2. Factor c(l).
-(l - 12)*(l + 2)/3
Factor 1/6*d**3 + 533/2*d - 1681/6 + 27/2*d**2.
(d - 1)*(d + 41)**2/6
Let r(v) = -3*v**2 - 58*v - 5. Let w(q) = 7*q**2 + 118*q + 11. Let g(p) = 11*r(p) + 5*w(p). Let g(t) = 0. Calculate t.
0, 24
Let x = 2060/5121 - -24/569. Factor 4/9*h**2 - 17/9*h + x.
(h - 4)*(4*h - 1)/9
Factor 3/10*s**2 - 10 - 74/5*s.
(s - 50)*(3*s + 2)/10
Let w(t) = 4*t**3 + 186*t**2 - 5760*t + 59582. Let u(s) = 9*s**3 + 372*s**2 - 11519*s + 119164. Let z(l) = -6*u(l) + 13*w(l). Factor z(d).
-2*(d - 31)**3
Let h(q) be the second derivative of 27*q - 11/20*q**6 + 0 + 6*q**3 - 4*q**2 + 3/56*q**7 - 5*q**4 + 23/10*q**5. Solve h(p) = 0.
2/3, 2
Let f be (10 + -4)*2 - -1. Let i = 15 - f. Solve -5*m - 8*m**i - 3 + m + 3 - 4*m**3 = 0 for m.
-1, 0
Let w(s) be the third derivative of -1000*s**7/189 + 1100*s**6/9 - 1210*s**5 + 6655*s**4 - 43923*s**3/2 - 3*s**2 + 7. Determine j so that w(j) = 0.
33/10
Suppose 3*l = 5*l - 6. Factor -2*u - u - 11*u**2 + 4*u**3 + 8*u**2 + 3 - u**l.
3*(u - 1)**2*(u + 1)
Let t = -51 - -50. Let x(o) = o**5 - o**4 + 14*o**3 - 2*o**2 - 6*o + 6. Let n(u) = u**4 + u**2 - u + 1. Let c(m) = t*x(m) + 6*n(m). Factor c(k).
-k**2*(k - 4)*(k - 2)*(k - 1)
Let l(a) be the second derivative of a**7/630 + a**6/180 - a**5/60 - a**4/9 - 2*a**3/9 - 5*a**2/2 + 26*a. Let z(o) be the first derivative of l(o). Factor z(m).
(m - 2)*(m + 1)**2*(m + 2)/3
Let g = -10568 - -31706/3. Factor -g*s**3 - 2/9*s - 2/9*s**4 - 2/3*s**2 + 0.
-2*s*(s + 1)**3/9
Let i(g) = -g + 142. Let v(d) = d - 72. Let h(n) = -6*i(n) - 11*v(n). Let m be h(-13). Factor -4/5*b**3 + 2/5*b**m + 2/5*b + 0 + 0*b**2 + 0*b**4.
2*b*(b - 1)**2*(b + 1)**2/5
Let m(x) be the third derivative of 0 + 0*x - 5/112*x**8 + 1/42*x**7 - 10/3*x**3 + 1/4*x**5 - 5/3*x**4 + 11/24*x**6 + 11*x**2. What is l in m(l) = 0?
-1, -2/3, 1, 2
Suppose -4*x - x + 25 = 0. Suppose -15*z**2 - x*z**3 + 15*z + 15 - 30*z + 20*z = 0. What is z?
-3, -1, 1
Let q(d) be the third derivative of d**5/72 - 55*d**4/72 + 605*d**3/36 - 135*d**2. Factor q(s).
5*(s - 11)**2/6
Let u = -42/29 - -184/87. Factor 2*v**2 - 4/3 + u*v.
2*(v + 1)*(3*v - 2)/3
Let i(o) = 3 - 3*o**2 + 0*o + 3*o + 0*o**3 + 2*o**3 + 34*o**4 - 35*o**4. Let a(m) = -m**2 + m + 1. Let h(r) = 3*a(r) - i(r). Factor h(s).
s**3*(s - 2)
Let k(q) be the third derivative of -1/75*q**5 + 0 - 1/525*q**7 + 2*q**2 - 1/75*q**6 + 0*q + 1/5*q**3 + 1/15*q**4. Find c such that k(c) = 0.
-3, -1, 1
Let j(y) = -5*y**4 - 10*y**3 - 15*y**2 + 10. Let f(o) = o**5 - 4*o**4 - 11*o**3 - 14*o**2 + 8. Let k(u) = -5*f(u) + 4*j(u). What is i in k(i) = 0?
-1, 0, 2
Let g(i) be the first derivative of i**6/210 - 2*i**5/105 - i**4/6 - 8*i**3/21 - 5*i**2 + 6. Let a(m) be the second derivative of g(m). Factor a(c).
4*(c - 4)*(c + 1)**2/7
Let g(y) = -y**4 + 7*y**3 + 12*y**2 - 34*y - 40. Let n(x) = x**3 + x**2 - x. Let s(c) = -2*g(c) - 4*n(c). Find d such that s(d) = 0.
-2, -1, 2, 10
Determine u, given that 1040*u**2 - 490*u**3 + 589*u + 125*u**5 - 900*u**4 + 1210*u**3 - 349*u = 0.
-2/5, 0, 2, 6
Factor -7 + 24*y - 20155*y**2 - 29 + 20151*y**2.
-4*(y - 3)**2
Solve -11/10*j**2 + 3/5 - 1/2*j + 13/10*j**3 - 3/10*j**4 = 0.
-2/3, 1, 3
Let x(d) = 3*d**3 - 3*d**2 + 12*d - 7. Let a(g) = 4*g**3 - 5*g**2 + 19*g - 11. Let n(q) = -5*a(q) + 7*x(q). Factor n(h).
(h - 1)**2*(h + 6)
Let i = -52390 - -471512/9. Factor 0 + i*j**4 + 10/9*j**3 + 0*j + 0*j**2.
2*j**3*(j + 5)/9
Suppose 6*f - 4*f = -2*h - 40, 5*h - 26 = 2*f. Let m be (-146)/f + 9 + -10. Factor m*r + 8/9 + 98/9*r**3 + 154/9*r**2.
2*(r + 1)*(7*r + 2)**2/9
Let a(q) be the second derivative of q**4/18 - q**3/3 - 6*q**2 + 3*q - 10. Suppose a(j) = 0. What is j?
-3, 6
Solve -2/15 - 2/15*s**3 + 2/15*s + 2/15*s**2 = 0.
-1, 1
Let p(y) = -2*y**2 - 20*y - 15. Let w be p(-9). Let t(r) be the first derivative of -1/3*r**w - 4 - r + r**2. Suppose t(l) = 0. Calculate l.
1
Let r(f) = -4 + 0 - 1 + 4. Let w(n) = n**2 + 2*n - 6. Let q(g) = -3*r(g) + w(g). What is v in q(v) = 0?
-3, 1
Let p(v) = 4*v - 12 + 11 - 3*v. Let n be p(4). Suppose -2/5*m + 0*m**2 + 1/5 + 2/5*m**n - 1/5*m**4 = 0. What is m?
-1, 1
Let d(x) = x**3 - 3*x**2 - 4*x + 3. Let u(i) = 2*i**2 - 2*i. Let q be u(2). Let j be d(q). Solve -j*r**2 + r**3 - 3*r**4 + 0*r**2 + 5*r**3 = 0 for r.
0, 1
Let t = -34 + 36. Factor -3*p**4 + 2*p**4 + p**5 + 10*p**3 - 11*p**3 - p**2 + t*p**2.
p**2*(p - 1)**2*(p + 1)
Let w be 15/(-11) + 87/29. Let 14/11*h**2 - w*h**3 - 4/11*h - 2/11*h**5 + 10/11*h**4 + 0 = 0. Calculate h.
0, 1, 2
Let c be 2 + (648/3)/3. Let y = c + -74. Find m such that 4/3*m**5 + y*m**3 - 4/3*m + 8/3*m**4 - 8/3*m**2 + 0 = 0.
-1, 0, 1
Let z(r) = 13*r**3 - 41*r**2 - 60*r + 104. Let c(i) = -2*i**3 - i**2 - 1. Let f(d) = 4*c(d) + z(d). Factor f(w).
5*(w - 10)*(w - 1)*(w + 2)
Let m(u) be the second derivative of 0 - u - 1/9*u**3 + 1/2*u**2 - 1/36*u**4. Suppose m(y) = 0. Calculate y.
-3, 1
Let y(s) be the first derivative of s**5/12 + 5*s**4/24 - 21*s**2/2 - 11. Let j(h) be the second derivative of y(h). Solve j(n) = 0 for n.
-1, 0
Let z(l) = 5 - 11 + 2*l**3 - 7 + 11*l - l**3 - 10*l**2. Let w be z(9). Solve 6 + 14*v - w*v**2 + 9 - 4*v = 0 for v.
-1, 3
Determine w, given that -79*w**2 + 17*w + 52*w + 39*w + 20038 - 20058 - 9*w**3 = 0.
-10, 2/9, 1
Solve 0 + 3/2*r**4 + 0*r**2 + 0*r + 81/2*r**3 = 0.
-27, 0
Let o(v) = v**2 + 7*v + 14. Let d be o(-15). Let p = 134 - d. Factor 0 - 12/5*t**2 + p*t - 4/5*t**3.
-4*t**2*(t + 3)/5
Let l be (7 - -2)*(-5 + 3172/636). Let f = 435/371 - l. Factor -f*c - 5/7*c**3 + 2/7 + 12/7*c**2.
-(c - 1)**2*(5*c - 2)/7
Let y(v) be the third derivative of -v**8/1680 + v**7/1050 + 3*v**6/200 + 11*v**5/300 + v**4/30 - 7*v**2 + 2. Factor y(m).
-m*(m - 4)*(m + 1)**3/5
Let k = 1148 + -1144. Let w(h) be the third derivative of 3/20*h**5 + 0*h + 1/2*h**3 + 0 - 1/40*h**6 - 3/8*h**k + 9*h**2. Let w(f) = 0. What is f?
1
Let w(y) = y**2 + 8*y. Suppose 0 = -3*x - 23 - 1. Let s be w(x). Factor -9*v**4 + 9*v**3 + 3*v**5 - 2*v + 2*v + s*v**5 - 3*v**2.
3*v**2*(v - 1)**3
Let j = 92 - 90. Factor 9*q + 8*q**2 + 6*q**3 + 16*q**j - 39*q**2.
3*q*(q - 1)*(2*q - 3)
Let d(g) be the first derivative of -30 + 0*g**2 + 1/2*g - 1/32*g**4 - 1/8*g**3. Factor d(t).
-(t - 1)*(t + 2)**2/8
Suppose -28*i + 508 = -32*i. Let u = 129 + i. Factor 26/3*h + 32/3*h**5 + 230/3*h**3 - 241/6*h**u - 2/3 - 152/3*h**4.
(h - 2)**2*(4*h - 1)**3/6
Let c = 84710/13 + -6516. Factor 0*g + c*g**3 + 0 + 4/13*g**2.
2*g**2*(g + 2)/13
Let a(f) = 6*f + 6. Let v be (-9)/(-6)*2*(-2)/6. Let q(k) = k**2 + k. Let o(j) = v*a(j) - 3*q(j). Factor o(m).
-3*(m + 1)*(m + 2)
Determine j, given that -5*j**3 + 0*j**2 + 75*j**2 - 3*j - 67*j = 0.
0, 1, 14
Let g(p) = 3*p**2 - 4*p + 4. Let l(n) be the first derivative of n**3/3 + n - 1. Let j(d) = g(d) - 4*l(d). Factor j(w).
-w*(w + 4)
Let s(f) be the second derivative of f**6/15 - 3*f**5/10 - f**4/3 + 4*f**3 - 8*f**2 - 167*f. 