g**2 - 88751*g + 90850. Let o(w) = 8*w**3 + 684*w**2 + 29584*w - 30284. Let s(b) = 4*h(b) + 11*o(b). What is a in s(a) = 0?
-87, 1
Factor 4/3*q**3 - 1/3*q**4 - 4/3*q**2 + 0*q + 0.
-q**2*(q - 2)**2/3
Suppose 153*h - 158*h + 10 = 0. Factor -25/3 - 1/3*w**h - 10/3*w.
-(w + 5)**2/3
Let d(l) be the first derivative of l**6/90 - l**5/5 + 5*l**4/6 + 8*l**3 - 33. Let r(f) be the third derivative of d(f). Solve r(c) = 0.
1, 5
Let j(q) be the third derivative of 0*q**4 + 0*q + 0*q**3 + 0 - 18*q**2 - 1/40*q**6 - 1/20*q**5. Factor j(w).
-3*w**2*(w + 1)
Let i(l) be the first derivative of -6/5*l**5 + 17/2*l**4 - 40 - 9*l**2 + 0*l - 14*l**3. Factor i(u).
-2*u*(u - 3)**2*(3*u + 1)
What is x in 1/4*x**4 + 49/4*x + 15/4*x**3 + 0 + 63/4*x**2 = 0?
-7, -1, 0
Suppose -27*k + 31*k + 3*d = -1, k - d = 5. Find x such that 0*x**k + 4/13 + 6/13*x - 2/13*x**3 = 0.
-1, 2
Let v(n) be the second derivative of -n**5/5 + 6*n**4 + 56*n. Suppose v(y) = 0. What is y?
0, 18
Let v(o) be the third derivative of 0*o + 1/90*o**5 + 0 + 2/9*o**3 - 36*o**2 + 7/72*o**4 - 1/360*o**6. Find r, given that v(r) = 0.
-1, 4
Let r(t) be the first derivative of 3*t**5/40 + 3*t**4/8 + t**3/4 - 3*t**2/4 - 9*t/8 + 62. Factor r(b).
3*(b - 1)*(b + 1)**2*(b + 3)/8
Let r(v) be the first derivative of 0*v + 5 + 1/720*v**6 + 1/180*v**5 + 2*v**2 + 0*v**3 + 1/144*v**4. Let t(m) be the second derivative of r(m). Factor t(q).
q*(q + 1)**2/6
Let t be (-126)/56*16/(-6). Factor 7*m + 3*m**2 - 13*m + t*m.
3*m**2
Suppose 298*i - 306*i = -96. Let b(z) be the third derivative of 1/18*z**4 + 0*z + 0 + 1/90*z**5 + 0*z**3 - i*z**2. Factor b(q).
2*q*(q + 2)/3
Suppose -13*c - 7 = -6*c. Let y be -4 + (c - (-16)/2). Factor 0*g + 0 + 0*g**2 + 2/11*g**y.
2*g**3/11
Let s(c) be the second derivative of c**5/90 - c**4/54 - 8*c. Determine r so that s(r) = 0.
0, 1
Let f(d) be the third derivative of 0 + 0*d + 1/2*d**3 - 1/90*d**5 + 1/720*d**6 - 1/48*d**4 + 26*d**2. Factor f(a).
(a - 3)**2*(a + 2)/6
Let j be (-3 - -3)/(8/(-4)). Suppose -12*n + 17*n - 15 = j. Suppose 1/3*c**n - 1/3*c + 1/3*c**4 - 1/3*c**2 + 0 = 0. What is c?
-1, 0, 1
Let i be 24/(-9)*-6*(-1)/(-4). Suppose 4*u = -2*z - 0 + 22, i*z = 3*u. Factor 10/11*h**2 + 4/11*h + 8/11*h**3 + 2/11*h**u + 0.
2*h*(h + 1)**2*(h + 2)/11
Factor 7*n**2 - 5*n**2 + 12*n + 1352 + 92*n.
2*(n + 26)**2
Suppose -90 = -232*i + 223*i. Let m(r) be the first derivative of 0*r - 1/15*r**5 + 0*r**4 + 1/3*r**3 + i - 1/3*r**2. Factor m(l).
-l*(l - 1)**2*(l + 2)/3
Let q(b) be the second derivative of -1/15*b**6 + 4/5*b**5 - 8/3*b**4 + 0 + 0*b**2 + 30*b + 0*b**3. Factor q(j).
-2*j**2*(j - 4)**2
Let j(b) be the second derivative of -b**4/34 + 44*b**3/51 - 28*b**2/17 - 2*b + 45. Solve j(o) = 0.
2/3, 14
Let h = 1404 - 1404. Factor 12/7*d**3 + 0 + h*d - 8/7*d**2.
4*d**2*(3*d - 2)/7
Let q be 50/(-10) + (-227)/(-80). Let l = -9/16 - q. Factor -12/5*h + l + 4/5*h**2.
4*(h - 2)*(h - 1)/5
Factor 0 + u**3 - 3/2*u**2 - 9/2*u.
u*(u - 3)*(2*u + 3)/2
Let o(v) be the first derivative of v**6/420 + v**5/210 - v**4/84 - v**3/21 + 9*v**2 - 21. Let k(w) be the second derivative of o(w). Solve k(z) = 0.
-1, 1
Suppose j + w + 1 = 0, 8*j - 6*j - 3*w = 13. Determine d, given that d**3 + 12*d**2 + 0 - 4 - 24*d**j + 12*d + 3*d**3 = 0.
1
Let v(f) be the second derivative of f**6/1140 - f**5/570 - f**4/228 + f**3/57 - f**2/2 + 25*f. Let r(x) be the first derivative of v(x). Factor r(g).
2*(g - 1)**2*(g + 1)/19
Let o(i) = i**2 + 2*i + 2. Let h be o(-1). Let b be -3 - (33/(-15) + (-1)/h). Factor 1/5*g - 1/5*g**2 - 1/5*g**3 + b.
-(g - 1)*(g + 1)**2/5
Let r be ((-80)/(-15))/((-2)/9). Let p = -20 - r. Factor 0*y**5 + 0*y**4 + 0*y**p + y**5.
y**5
Let h(n) be the second derivative of -n**6/120 + 3*n**5/40 - 3*n**4/16 - 2*n - 92. Factor h(p).
-p**2*(p - 3)**2/4
Determine g, given that 132/5*g + 2178/5 + 2/5*g**2 = 0.
-33
Let f(x) = -4*x**2 + 2*x + 3. Let y be f(-5). Let o = y + 109. Let 9/2*r**o - 3/2*r**4 - 3*r + 0*r**3 + 0 = 0. What is r?
-2, 0, 1
Let l(i) = 322 - 280*i - 17 - 3*i**2 + 48*i**2. Let k(w) = 5*w**2 - 31*w + 34. Let h(d) = -35*k(d) + 4*l(d). Solve h(m) = 0 for m.
1, 6
Suppose -3*r - 81 = 5*q + 21, 12 = -3*r. Let p be 68/q - 6*(-4)/6. Solve 2/9*o + 4/9*o**2 - 4/9*o**3 + 2/9*o**5 - p - 2/9*o**4 = 0.
-1, 1
Let j(w) be the third derivative of w**7/210 - w**6/40 - w**5/10 + 7*w**4/6 - 4*w**3 + 8*w**2 - 6*w. Factor j(v).
(v - 2)**3*(v + 3)
Let c(h) = 20 - 298*h**2 + 297*h**2 - 6*h + 2*h. Let b(l) = 5*l - 20. Let m(j) = -4*b(j) - 5*c(j). Suppose m(s) = 0. Calculate s.
-2, 2
Let y = 51 + -55. Let x be (y/2 - 4)*(-5)/10. Factor -1/6*d**x + 2/3*d**2 + 0 - 2/3*d.
-d*(d - 2)**2/6
Factor 0*x + 0*x**2 - 12/7*x**5 + 0*x**3 + 0 - 2/7*x**4.
-2*x**4*(6*x + 1)/7
Let s(q) be the second derivative of q**4/78 + 8*q**3/3 + 208*q**2 - 8*q + 8. What is j in s(j) = 0?
-52
Let p(k) be the third derivative of 0 + 0*k**4 + 0*k + 10/3*k**3 + 4*k**2 - 1/12*k**5. Factor p(c).
-5*(c - 2)*(c + 2)
Suppose 1/4*r**5 + 0*r + 0 + 0*r**4 - 1/2*r**2 - 3/4*r**3 = 0. Calculate r.
-1, 0, 2
Suppose 0 = 3*y - 5*y + 4. Determine t, given that -t**3 - t**2 - t - t**4 + y*t**2 + 2*t = 0.
-1, 0, 1
Let m(z) = -z**3 + 2*z**2 - 2*z + 3. Let t be m(0). Factor -v**3 - 81*v + 79*v - t*v**2 + 0*v**3.
-v*(v + 1)*(v + 2)
Let c be 2 + 35/(-5) - 7. Let r be (-16)/c + (-26)/24. Factor -r*n**2 + 0 + 1/2*n.
-n*(n - 2)/4
Let -4/5*p**3 + 12/5*p**2 - 6/5*p**4 + 2/5*p + 2/5*p**5 - 6/5 = 0. What is p?
-1, 1, 3
Let o be (2 - 3) + ((-5)/(-15))/(4/12). Factor -4/5*z**2 + 0*z + o - 2/5*z**3.
-2*z**2*(z + 2)/5
Let o(f) = 13*f**3 - 50*f**2 - 89*f + 9. Let p(m) = 6*m**3 - 24*m**2 - 44*m + 4. Let y(h) = -4*o(h) + 9*p(h). Factor y(a).
2*a*(a - 10)*(a + 2)
Factor -2/3*x**2 + 6 + 16/3*x.
-2*(x - 9)*(x + 1)/3
Let p be (8/10)/(4 - (-777)/(-195)). Let m be ((-4)/14)/(p/(-91)). Factor d + m*d**2 + 0.
d*(d + 2)/2
Let v(q) be the first derivative of -17/84*q**4 - 1/42*q**5 - 3 + 3/2*q**2 + 0*q - 2/7*q**3. Let n(o) be the second derivative of v(o). Solve n(w) = 0 for w.
-3, -2/5
Suppose 0 = -2*a - 144 + 154. Let l(p) be the first derivative of 4/3*p**3 - 3/2*p**4 - 1/6*p**6 - 1/2*p**2 + a + 0*p + 4/5*p**5. Factor l(q).
-q*(q - 1)**4
Let u(g) be the second derivative of -g**7/294 + 2*g**6/35 - 11*g**5/70 - g**4 - 7*g**3/6 + 3*g + 2. Suppose u(p) = 0. What is p?
-1, 0, 7
Suppose -2*a + 4 + 2 = 0. Let b be (-6)/(-4) + a/6. Let f(l) = 2*l**3 - l**2 + l - 1. Let s(v) = -v**2 + v - 1. Let z(x) = b*s(x) - 2*f(x). Factor z(o).
-4*o**3
Suppose 0 = -61*u + 59*u + 6. Factor -r**u - 13/4*r**2 - 1/2 - 11/4*r.
-(r + 1)*(r + 2)*(4*r + 1)/4
Let t be 9/(378/12) - (-26)/7. Suppose 4*j - 10 = -2*f, j + 5*f = -t*j + 25. Factor j*m**3 + 6/19*m**2 - 4/19*m - 2/19*m**4 + 0.
-2*m*(m - 1)**2*(m + 2)/19
Let o(d) be the first derivative of -1/3*d**2 + 2/27*d**3 - 8/9*d + 15. Determine h, given that o(h) = 0.
-1, 4
Suppose -6 = -4*m - 2. Let w be (-60)/42 + 4*m. Let w*q + 10/7*q**3 - 24/7*q**2 - 4/7 = 0. Calculate q.
2/5, 1
Let v(o) = 2*o + 0*o - 2 - 3*o + 3. Let x be v(-1). Solve 1 + n**4 + 6*n**5 - n**2 - 5*n**5 - n**x - 2*n**3 + n = 0 for n.
-1, 1
Let d(p) be the second derivative of -p**5/5 - 10*p**4/9 + 142*p**3/9 - 28*p**2 + 10*p. Factor d(w).
-4*(w - 3)*(w + 7)*(3*w - 2)/3
Let n = 79/28 - 9/28. Let q = 19/6 - n. Factor q*o - 1/3 - 1/3*o**2.
-(o - 1)**2/3
Let 9/2*m**4 - 1/2*m**5 - 25/2*m**2 - 10 + 13/2*m**3 - 24*m = 0. Calculate m.
-1, 2, 10
Let x(v) = -27*v - 27. Let j be x(-2). Suppose 3*z = -5*s - 5, s - j = -0*z + 5*z. Factor -162/11*k**s + 72/11*k - 8/11.
-2*(9*k - 2)**2/11
Suppose -2*z = 4, -4*z = o + 2 + 2. Let y(r) be the second derivative of 1/6*r**3 + 0 + 1/48*r**4 - o*r + 3/8*r**2. Solve y(i) = 0 for i.
-3, -1
Let d(c) be the third derivative of -c**8/84 - 3*c**7/70 + c**6/12 + 7*c**5/12 + c**4 + 2*c**3/3 + 14*c**2 - 4. Determine j so that d(j) = 0.
-2, -1, -1/4, 2
Let d(j) be the first derivative of -3/11*j**2 + 4/11*j**3 - 3/22*j**4 - 29 + 0*j. Factor d(w).
-6*w*(w - 1)**2/11
Determine m, given that 15/2*m**4 - 24 - 6*m**3 + 48*m - 24*m**2 - 3/2*m**5 = 0.
-2, 1, 2
Factor -7*k**3 + k**3 - 20*k**2 - 840*k - 784 - 19*k**2 + 5*k**3 - 18*k**2.
-(k + 1)*(k + 28)**2
Let w(n) be the third derivative of -n**8/2240 + n**7/280 - 13*n**4/12 + 25*n**2. Let s(f) be the second derivative of w(f). Factor s(u).
-3*u**2*(u - 3)
