j**3 + 0*j**6. Factor x(a).
-2*a**3*(a - 1)*(a + 1)/7
Let i(v) be the second derivative of -1/72*v**4 + 0 - 1/6*v**3 - 2*v - 3/4*v**2. Factor i(a).
-(a + 3)**2/6
Let k(b) be the second derivative of b**5/90 - 5*b**4/18 + b**3 - 11*b**2/2 - 10*b. Let x(w) be the first derivative of k(w). Factor x(d).
2*(d - 9)*(d - 1)/3
Let x(b) = -3*b**2 + b. Let a(r) = 24*r**2 + 159*r - 9. Let w(v) = a(v) - 9*x(v). Factor w(s).
3*(s + 3)*(17*s - 1)
Let b(v) be the second derivative of -v**3 - 3/20*v**5 + 0 + 18*v + 0*v**2 - 3/4*v**4. Determine h so that b(h) = 0.
-2, -1, 0
Suppose -248/5*t - 252/5 + 4/5*t**2 = 0. What is t?
-1, 63
Let n be (21 + (-64)/3)*(3/6)/(-1). Factor 11/6*x - 7/6*x**2 + n*x**3 - 5/6.
(x - 5)*(x - 1)**2/6
Let j(q) be the third derivative of 0 + 0*q + 20/9*q**3 - 7/72*q**6 + 1/126*q**7 + 1/2*q**5 - 25/18*q**4 - 22*q**2. Factor j(m).
5*(m - 2)**3*(m - 1)/3
Let x(f) be the third derivative of -f**6/180 + f**5/5 - 17*f**4/36 + 79*f**2 + f. Suppose x(u) = 0. What is u?
0, 1, 17
Let q(s) = -s**3 - 3*s**2 + 171*s + 522. Let a be q(-3). Factor 15/2*t**2 + a*t**3 + 3/2*t**4 + 0 + 0*t.
3*t**2*(t + 1)*(t + 5)/2
Determine v, given that 4*v**4 - 75*v**3 + 3*v**4 + 0*v**2 - 2*v**4 + 140*v + 60*v**2 = 0.
-1, 0, 2, 14
Let k(s) be the third derivative of -s**6/480 - 7*s**5/240 - s**4/6 - s**3/2 - s**2 - 9*s. What is b in k(b) = 0?
-3, -2
Let s = -511 + 518. Let j(t) be the second derivative of 0*t**3 + 0 - 1/45*t**6 - t + 1/126*t**s - 1/60*t**5 + 0*t**2 + 1/18*t**4. Factor j(h).
h**2*(h - 2)*(h - 1)*(h + 1)/3
Let n(b) be the second derivative of -b**7/420 + b**6/90 + b**3/6 + 6*b. Let y(d) be the second derivative of n(d). Factor y(g).
-2*g**2*(g - 2)
Let r(h) = 10*h**4 + 12*h**3 - 22*h**2. Let w(s) = 2*s**4 + 5*s**2 - s**3 + 5*s**3 + s**4 - 12*s**2. Let v(d) = -5*r(d) + 16*w(d). Find j, given that v(j) = 0.
0, 1
Factor -1/2 + 1/8*j**2 + 0*j.
(j - 2)*(j + 2)/8
Determine w so that -74/13*w - 94/13*w**2 - 6/13*w**4 - 46/13*w**3 - 20/13 = 0.
-5, -1, -2/3
Let p = -22228 + 111154/5. Determine v so that 24/5 - 2/5*v**3 - 32/5*v + p*v**2 = 0.
2, 3
Let c(v) = 2*v**3 - 20*v**2 + 18*v - 3. Suppose g - 9 = -6. Let n(u) = -3*u**3 + 40*u**2 - 37*u + 7. Let j(m) = g*n(m) + 7*c(m). Factor j(d).
5*d*(d - 3)*(d - 1)
Let o(g) be the third derivative of g**6/280 - 27*g**5/140 + 3*g**4 + 14*g**3 - 43*g**2 + 2. Factor o(j).
3*(j - 14)**2*(j + 1)/7
Let j be 0/(-2) - (-1 + 3 + -4). Factor -14*y**3 - 40*y + 5 + 36*y**j + 3 + 2*y**4 + 2 + 6.
2*(y - 2)**3*(y - 1)
Let r(u) = u**4 + u**2 - u - 1. Let i(v) = -4*v + 3 - 3*v**2 - 3*v**4 + 3*v**3 + 6*v + v - 3*v**5. Let x(n) = -i(n) - 3*r(n). Determine d so that x(d) = 0.
-1, 0, 1
Let a(i) be the third derivative of 0*i + 1/180*i**5 + 4/9*i**3 + 1/12*i**4 + 0 + 25*i**2. Determine j so that a(j) = 0.
-4, -2
Let n = -2/1141 - -1958/1141. Let v(g) be the first derivative of 3/7*g**3 + 3/28*g**4 - 7 + 0*g**2 - n*g. Suppose v(s) = 0. Calculate s.
-2, 1
Let f be (1/(-5)*1)/(16/274). Let i = -21/8 - f. Factor -2/5*h**4 + 0*h + 6/5*h**3 + 0 - i*h**2.
-2*h**2*(h - 2)*(h - 1)/5
Let w(h) = 27*h**3 - 84*h**2 + 63*h + 4. Let i(t) = 110*t**3 - 333*t**2 + 253*t + 15. Let z(u) = 2*i(u) - 9*w(u). Suppose z(k) = 0. Calculate k.
-2/23, 1, 3
Let v(s) = 13*s**3 - 53*s**2 + 85*s + 151. Let q(z) = 7*z**3 - 26*z**2 + 43*z + 76. Let m(g) = -7*q(g) + 4*v(g). Factor m(t).
3*(t - 8)*(t - 3)*(t + 1)
Let y(h) be the second derivative of -h**8/392 - h**7/245 + 43*h**2/2 + 10*h. Let b(w) be the first derivative of y(w). Suppose b(n) = 0. Calculate n.
-1, 0
Let m(f) be the second derivative of -1/3*f**4 + 0 - 16*f**3 - 288*f**2 + 8*f. Suppose m(t) = 0. Calculate t.
-12
Let z = -84249/4 + 21063. Determine g, given that 1/4*g + 0 - z*g**4 - 5/4*g**3 - 1/4*g**2 = 0.
-1, 0, 1/3
Let b(y) = y**3 + 11*y**2 - 10*y + 26. Let a be b(-12). Factor -14 + 4*h**a + 11 - 7 - 6.
4*(h - 2)*(h + 2)
Let w be 2/(-9) - ((-210)/54)/7. Let c(d) be the first derivative of -1/20*d**4 + 4/5*d + w*d**3 + 4 - 4/5*d**2. Let c(y) = 0. Calculate y.
1, 2
Suppose 57 = 3*b + 5*v, 5*b - 3*v - 61 = -0*v. Suppose 8*u = 6*u + b. Factor 32 + 2*n**2 - u*n - 6*n - 3*n.
2*(n - 4)**2
Let l(f) = -27*f**2 + 1469*f + 448. Let j(b) = -41*b**2 + 2203*b + 664. Let i(o) = 5*j(o) - 7*l(o). Solve i(p) = 0 for p.
-1/4, 46
Suppose 499*t**2 - 419*t**2 + 40*t - 4*t**3 + 72 - 188*t = 0. Calculate t.
1, 18
Let o(p) be the second derivative of -3/5*p**5 + 0 - 7*p + 1/2*p**4 + 3*p**2 + 5/2*p**3 - 2/5*p**6 - 1/14*p**7. Solve o(u) = 0.
-2, -1, 1
Let u(z) = 60*z**2 - 815*z + 1415. Let b(p) = -5*p**2 + 68*p - 118. Let i(c) = -25*b(c) - 2*u(c). Factor i(j).
5*(j - 12)*(j - 2)
Let x(k) be the third derivative of -k**8/10080 - k**7/540 - k**6/180 + k**4/2 + 31*k**2. Let q(o) be the second derivative of x(o). Factor q(i).
-2*i*(i + 1)*(i + 6)/3
Factor -27/4*r**2 - 21/4*r + 3/2.
-3*(r + 1)*(9*r - 2)/4
Let i(u) = 5*u**2 - u. Let c be i(1). Factor -d - 3*d**5 + 0*d**5 + 3*d**c + d + 6*d**3.
-3*d**3*(d - 2)*(d + 1)
Let o(x) be the second derivative of -8*x**6/15 + x**5 + 2*x**4/3 - 2*x**3 - x - 113. Factor o(r).
-4*r*(r - 1)**2*(4*r + 3)
Suppose 0*p + 14 = -2*p + 5*g, 21 = -3*p + 5*g. Let d be p/2 + (7 - 3). Factor 1/2*k + 3/2*k**2 + 0 + d*k**4 + 3/2*k**3.
k*(k + 1)**3/2
Let l(g) = -2*g**4 + 33*g**3 - 25*g**2 - 3. Let h(t) = 3*t**4 - 32*t**3 + 25*t**2 + 2. Let k(a) = 3*h(a) + 2*l(a). Factor k(w).
5*w**2*(w - 5)*(w - 1)
Solve -4/5*d + 2/5 + 2/5*d**2 = 0.
1
Suppose 8*m - 121 = 119. Suppose -m = -4*o + 14. Determine c, given that 114*c**4 + 25*c**5 - 42*c**3 - o*c**2 - 13*c**2 + 32*c**4 - 85*c**5 + 8*c = 0.
-2/5, 0, 1/3, 1/2, 2
Let g(u) be the second derivative of -u**4/6 - 7*u**3/6 - 5*u**2/2 + 2*u. Let q(f) = -6*f**2 - 22*f - 16. Let o(j) = 16*g(j) - 5*q(j). Factor o(y).
-2*y*(y + 1)
Let k(f) = -f**2 + 9*f + 2. Let l(o) = 2*o - 10. Let g be l(8). Let w be (-1)/(-6) + 17/g. Let y(i) = 9*i + 3. Let p(z) = w*k(z) - 4*y(z). Factor p(d).
-3*(d + 1)*(d + 2)
Let t = -148 + 150. Suppose g - 12 = -u + 4*g, 0 = -g - 3. Determine y so that -y**4 + 1/3 + 2/3*y**t - 4/3*y + 4/3*y**u = 0.
-1, 1/3, 1
Suppose 22 = 82*j - 71*j. Let h be 3/12 + j - 1. Factor 3/4 - 1/4*p + 1/4*p**3 - h*p**2 + 1/2*p**4.
(p - 1)**2*(p + 1)*(2*p + 3)/4
Let f = 1 - -13. Factor -f*t**4 - 30*t**2 + 45*t**3 - 24 + 24 + 5*t - 6*t**4.
-5*t*(t - 1)**2*(4*t - 1)
Let z(p) = -2*p**2 - 1223*p - 224450. Let a(q) = -q**2 - 616*q - 112225. Let x(u) = -13*a(u) + 6*z(u). Let x(d) = 0. What is d?
-335
What is m in 3*m**5 + 23498*m**4 + 6*m**2 - 11755*m**4 - 3*m - 11749*m**4 = 0?
-1, 0, 1
Let x(n) = -15*n**5 - 110*n**4 + 195*n**3 + 870*n**2 - 1825*n + 525. Let o(c) = c**4 - c**2 + c - 1. Let g(r) = -25*o(r) - x(r). Determine l so that g(l) = 0.
-5, 1/3, 2
What is i in -42 - 5*i**3 + 2*i**3 - i**3 - 190 - 240*i**2 - 468*i = 0?
-58, -1
Factor 553*z**2 + 133 + 64*z**3 + 4*z**4 - 225*z - 641*z**2 - 127*z - 337.
4*(z - 3)*(z + 1)**2*(z + 17)
Suppose 0 = 5*s + 25, 2*d - 2*s = s + 27. Factor 6*y - 9 - 4*y**2 + d*y**2 - 3*y**2.
-(y - 3)**2
Factor 2/3*i**2 + 2/9*i**4 - 20/9*i + 4/3*i**3 + 0.
2*i*(i - 1)*(i + 2)*(i + 5)/9
Let h(v) = 15*v**3 + 530*v**2 - 1145*v + 570. Let x(r) = -5*r**3 - 177*r**2 + 381*r - 190. Let u(y) = -3*h(y) - 10*x(y). Factor u(t).
5*(t - 1)**2*(t + 38)
Let 18/7 + 92/7*a**2 - 66/7*a + 18/7*a**4 - 60/7*a**3 - 2/7*a**5 = 0. What is a?
1, 3
Let q(n) be the third derivative of -n**7/420 - 3*n**6/20 - 7*n**5/24 + 548*n**2. Factor q(u).
-u**2*(u + 1)*(u + 35)/2
Let g(k) be the third derivative of -1/12*k**4 - 18*k**2 + 0 - 1/360*k**6 - 1/36*k**5 + 0*k**3 + 0*k. Solve g(a) = 0 for a.
-3, -2, 0
Let b(t) be the second derivative of t**6/6 + 13*t**5/4 + 115*t**4/12 + 55*t**3/6 - 95*t. Factor b(r).
5*r*(r + 1)**2*(r + 11)
Suppose x + 2 = 0, -x = -4*u - 4*x - 10. Let m be u/2 - 14/(-4). Determine w so that -w**2 - 5*w + 7*w - w**m + 0*w = 0.
-2, 0, 1
Let f be 20/25 + 2/10. Factor 4*w**2 - 12*w - 7 - 2*w**2 - f - 6*w**2.
-4*(w + 1)*(w + 2)
Let x(k) be the first derivative of 2*k**3/21 - 3*k**2/7 - 8*k/7 + 59. Find c, given that x(c) = 0.
-1, 4
Let d(l) be the first derivative of -l**6/72 + 3*l**5/4 - 135*l**4/8 + 29*l**3/3 + 21. Let m(j) be the third derivative of d(j). Factor m(r).
-5*(r - 9)**2
Let a(n) = n**4 + 19*n**3 - 21*n**2 - 11*n + 24. Let b(u) = -13*u - 8*u + u**3 + u**2 + 1 - 9*u -