j = 0. What is j?
1/3, 2
Let u(i) be the second derivative of -4/9*i**4 - 1/45*i**6 - 1/6*i**5 - 16*i + 0 - 4/9*i**3 + 0*i**2. Factor u(z).
-2*z*(z + 1)*(z + 2)**2/3
Let z(h) = h**3 - 3*h**2 - 3*h + 8. Let w be z(4). Suppose 0 = -3*u - 3*u + w. Suppose 9*i**3 + 39*i - 17*i**u + 0*i**2 - 9 - 22*i**2 = 0. Calculate i.
1/3, 1, 3
Factor 14/3 + 1/3*g - 14/3*g**2 - 1/3*g**3.
-(g - 1)*(g + 1)*(g + 14)/3
Suppose -3*i = 2*i - 2*q + 405, 4*i - 3*q = -317. Let x = i + 86. What is p in 2/3*p**2 + 0*p + 2/3*p**x + 0 = 0?
-1, 0
Factor 20/17 + 14/17*v + 2/17*v**2.
2*(v + 2)*(v + 5)/17
Let c be 74/(-1036) + 29/14. Solve -2/3 + 0*h + 1/6*h**c = 0 for h.
-2, 2
Let c be (3 + 1)*2*1/(-4). Let o be 1824/1040 - c/(-13). Factor -o - 2/5*x**2 + 8/5*x.
-2*(x - 2)**2/5
Let l(d) be the second derivative of -6*d**7/7 - 8*d**6/3 + d**5 + 20*d**4/3 + 8*d**3/3 - 200*d. Determine b so that l(b) = 0.
-2, -1, -2/9, 0, 1
Let a(k) be the second derivative of -12*k + 0 - 1/10*k**2 - 1/10*k**3 - 1/20*k**4 - 1/100*k**5. Solve a(b) = 0 for b.
-1
Factor -123/5*g + 3/5*g**2 + 234/5.
3*(g - 39)*(g - 2)/5
Suppose 3*u - 3 = 2*m + 2, 2*m = -2. Suppose -2*h + 3 = -u. Factor -7*g**3 + 3*g + h - 3*g**2 + 0 + 226*g**4 - 229*g**4.
-(g + 1)**3*(3*g - 2)
Let d(u) be the third derivative of u**8/896 - u**6/40 - 3*u**5/80 + 7*u**4/64 + 3*u**3/8 + 4*u**2 + 6*u. Determine q, given that d(q) = 0.
-2, -1, 1, 3
Let q = -2398 + 4799/2. Factor -2*h - q - 1/2*h**2.
-(h + 1)*(h + 3)/2
Solve -8*j**3 - 4/5*j + 26/5*j**2 + 18/5*j**4 + 0 = 0 for j.
0, 2/9, 1
Let p(q) be the second derivative of 2*q**7/21 + 16*q**6/15 + 3*q**5/5 - 92*q**4/3 - 224*q**3/3 + 384*q**2 + 3*q - 5. Find n such that p(n) = 0.
-4, 1, 3
Let k(o) be the third derivative of o**6/40 + 13*o**5/20 + 5*o**4 + 18*o**3 - 166*o**2. Factor k(i).
3*(i + 2)**2*(i + 9)
Find a such that 1/5*a**2 - 1/10*a**3 + 0 + 0*a = 0.
0, 2
Suppose -25 + 7 = -6*o. Suppose -344 - 37*j - 281 - 338*j - 5*j**o - 75*j**2 = 0. What is j?
-5
Factor -190*s**2 - 125*s**3 + 46 - 5*s**5 - 40*s**4 + 8 - 140*s - 94.
-5*(s + 1)**2*(s + 2)**3
Let w(v) be the first derivative of 5/2*v**4 - v**5 + 0*v - 30 + 5/3*v**3 - 5*v**2. Let w(h) = 0. Calculate h.
-1, 0, 1, 2
Let b(v) be the third derivative of 1/84*v**5 + 3/56*v**4 + 1/21*v**3 - 1/210*v**7 + 0 + 0*v - 3/280*v**6 - 3*v**2. Suppose b(r) = 0. Calculate r.
-1, -2/7, 1
Suppose 1042*p + 69 = 1065*p. Determine b, given that -1/4*b**p + 3/4*b**2 + 0 - 1/2*b = 0.
0, 1, 2
Suppose -4*d + 1 = -7. Let f(n) = -4*n**2 - 28*n + 5. Let h be f(-7). Factor -4*o - 3*o**h - o**4 + 4*o - d*o**4.
-3*o**4*(o + 1)
Find d such that -4 - 41 - 60*d + 6*d**2 + 19*d**2 = 0.
-3/5, 3
Let k(i) be the first derivative of i**5/60 - i**3/6 - 11*i**2/2 + 10. Let o(w) be the second derivative of k(w). Solve o(p) = 0 for p.
-1, 1
Let s(n) be the first derivative of -n**7/56 + n**6/20 - 3*n**5/80 + 3*n**2/2 - 11. Let y(c) be the second derivative of s(c). Factor y(r).
-3*r**2*(r - 1)*(5*r - 3)/4
Let z be (-1)/(-68*(-3)/64848). Let u = 318 + z. Find k such that -6/17*k + u*k**3 + 0*k**2 + 4/17 = 0.
-2, 1
Let x(p) be the second derivative of -1/36*p**4 + 0 - 1/30*p**5 + 0*p**3 - 9*p - 1/90*p**6 + 0*p**2. Factor x(v).
-v**2*(v + 1)**2/3
Factor 60*w**3 - 56*w**4 + 1267118*w - 1267118*w - 4*w**5.
-4*w**3*(w - 1)*(w + 15)
Let c(a) be the third derivative of a**7/168 + a**6/40 + a**5/40 + a**4/8 + 6*a**2. Let t(d) be the second derivative of c(d). Solve t(v) = 0 for v.
-1, -1/5
Determine a so that -12*a**3 + 32*a**3 + 14*a + 66*a**2 + 58*a + 2*a**4 = 0.
-4, -3, 0
Find d, given that 20/3*d + 1/3*d**2 + 0 = 0.
-20, 0
Let y(i) = 5*i**3 - i**2 - i + 1. Let f be y(1). Suppose a + 3 = 5*h, f*h + 20 + 49 = 5*a. Factor 9*d + 6 + a*d + 21*d**2 + 2*d - d.
3*(d + 1)*(7*d + 2)
Let q(x) be the third derivative of 11*x**5/150 + x**4/60 - 207*x**2. Factor q(g).
2*g*(11*g + 1)/5
Let u = 32 + -30. Factor -3*r**u + 6*r**2 - 5 + 5*r**2 - 3*r**2.
5*(r - 1)*(r + 1)
Factor 68*a**2 + 216/5*a + 32/5.
4*(5*a + 2)*(17*a + 4)/5
Let z be 3538/348 + -2*5. Determine x so that 3/2 - z*x**3 + 7/6*x**2 - 5/2*x = 0.
1, 3
Determine o so that -1250/9 - 100/9*o - 2/9*o**2 = 0.
-25
Let a(p) = p + 4. Let k(w) = -w - 4. Let n be k(-2). Let u be a(n). Suppose -3*i**2 + 1 + 4 + u - 6*i + 2 = 0. What is i?
-3, 1
Let l = -23 - -37. Let x be 0 + 3 + (-38)/l. Find n, given that 0 - 2/7*n**2 + x*n = 0.
0, 1
Let z(d) be the third derivative of 0*d + 1/420*d**7 + 0 + 1/120*d**6 + 0*d**3 + 0*d**4 + 0*d**5 - 31*d**2. Factor z(k).
k**3*(k + 2)/2
Let b(h) = 18*h**4 + 102*h**3 - 60*h**2 - 42*h + 18. Let m(f) = f**4 + f**3 + f**2 - f + 2. Let o(l) = b(l) - 9*m(l). Find p such that o(p) = 0.
-11, -1/3, 0, 1
Let a(d) = 11*d**2 - 3*d + 2. Let l(y) = -7*y + 1. Let g(i) = -i**2 - 8*i + 1. Let p(b) = -5*g(b) + 6*l(b). Let u(f) = -2*a(f) + 5*p(f). Factor u(k).
(k - 1)*(3*k - 1)
Let y(p) = p**3 - p**2. Let s(t) = -2*t**4 - 10*t**3 - 24*t**2 - 12*t. Let o(a) = -2*s(a) + 4*y(a). Factor o(n).
4*n*(n + 1)*(n + 2)*(n + 3)
Factor -124/11*u - 2/11*u**2 - 1922/11.
-2*(u + 31)**2/11
Let l(a) be the second derivative of a**6/6 + 23*a**5/4 + 55*a**4/6 - 229*a. Factor l(c).
5*c**2*(c + 1)*(c + 22)
Suppose 62*j**2 + 75*j**3 - 10*j**4 + 7*j**2 + 30*j - 164*j**2 = 0. Calculate j.
0, 1/2, 1, 6
Let u(p) = -p**4 - 2*p. Let l(a) = -6*a**4 + 200*a**3 - 927*a**2 + 172*a. Let y(j) = -l(j) - 5*u(j). Factor y(r).
r*(r - 9)**2*(11*r - 2)
Suppose 4*i - 17 = 367. Let j = i + -191/2. Factor -1/2*d**3 + 1/2*d**5 + 0 - j*d**2 + 1/2*d**4 + 0*d.
d**2*(d - 1)*(d + 1)**2/2
Let w(i) be the third derivative of -i**9/7560 + i**8/1680 + i**7/1260 - i**6/180 + 13*i**4/24 - 4*i**2. Let v(r) be the second derivative of w(r). Factor v(b).
-2*b*(b - 2)*(b - 1)*(b + 1)
Let m(r) = -3*r**2 - 12*r**3 + 8*r**2 + r**2 - 5*r + 11*r**3 + 5. Let b be m(5). Solve -2*f**b + f**4 + f**3 + f**5 + f**2 - 2*f**2 = 0 for f.
-1, 0, 1
Let n(f) be the first derivative of -5/2*f**2 + 5/4*f**4 + 16 + 0*f**3 + 0*f. Factor n(i).
5*i*(i - 1)*(i + 1)
Suppose 3*j = -9 + 15. Suppose 2*b = -4*l + 16, 0*l = 4*b + l - 11. Find i such that 7*i**3 + 0*i**b - 2*i**2 - i + j - 6*i = 0.
-1, 2/7, 1
Let f be -38 - (12/28 + (-26)/28). Let w = f + 531/14. Solve -12/7*d**3 + 0*d**2 + 9/7*d - w = 0 for d.
-1, 1/2
Factor 2*o**3 - 2*o**3 + o**3 + 4*o**2 + 4*o.
o*(o + 2)**2
Suppose -2/7*u**3 + 24/7*u**2 - 6*u + 20/7 = 0. Calculate u.
1, 10
Suppose -h = -5*t + 13, 4*t = -h + 2 + 3. Let l be ((-4)/(-6))/((-2)/(-6)). Let 2*u**t - 3*u + u**2 - 4*u**l = 0. What is u?
-3, 0
Factor 16*h**2 - 9*h**2 - 2*h**3 - 462*h - 12*h**2 - 4410 + 79*h**2.
-2*(h - 21)**2*(h + 5)
Let v = -341 + 341. Let o(b) be the first derivative of v*b**2 + 2/3*b**6 + 7 - b**4 + 0*b**3 + 0*b + 0*b**5. Factor o(i).
4*i**3*(i - 1)*(i + 1)
Let s be (4*4/8)/(-2). Let a be (54/5)/6 + s. Factor -2/5*d**2 + a*d - 2/5.
-2*(d - 1)**2/5
Let q = 293/195 - 1/390. Let c(u) = -u + 10. Let w be c(8). Suppose -3/2*p**w + q*p + 3 = 0. Calculate p.
-1, 2
Let y = -14961/2 - -7482. Find n, given that 3/2 + 3/8*n**2 + y*n = 0.
-2
Let u = -1589 + 6431/5. Let p = u + 303. Suppose 0 - r**4 + p*r**5 + 9/5*r**3 - 7/5*r**2 + 2/5*r = 0. What is r?
0, 1, 2
Let h be (-32)/(-14) + 2/(-7). Let 2*c**4 - h*c**2 - 12*c**5 + 2*c**5 + 9*c**5 + c + 0*c**4 = 0. Calculate c.
-1, 0, 1
Factor 30*u + 3*u**2 + u**3 - u**3 + 32*u**2 + 5*u**3.
5*u*(u + 1)*(u + 6)
Let q(z) = -59*z**2 - 2184*z - 33. Let l be q(-37). Factor -8/9*r**l - 3*r + 1/9*r**5 + 0 + 2*r**3 + 0*r**2.
r*(r - 3)**3*(r + 1)/9
Let o be (1/(-6))/(85/(-170)). Factor o + 2/3*a + 1/3*a**2.
(a + 1)**2/3
Suppose 0*l - 4*l + 100 = 2*x, 5*l = -2*x + 104. Let r be ((-6)/14)/(x/(-56)). Determine m, given that 0*m + 0 + 2/7*m**4 + 2/7*m**2 + r*m**3 = 0.
-1, 0
Let z(t) be the first derivative of 40*t**4 + 4*t**2 + 14*t**2 - 23 - t**3 - 67*t**3 + 8*t. Factor z(j).
4*(j - 1)*(5*j - 2)*(8*j + 1)
Let x(v) = v**2 + v. Let m(z) = -334*z**2 - 154*z - 16. Let s be -4 + 1 + (0 - -2). Let j(b) = s*m(b) - 10*x(b). Factor j(i).
4*(9*i + 2)**2
Let x(l) = -5*l**3 + 4*l**2 - 17*l + 6. Let n(q) = -11*q**3 + 9*q**2 - 36*q + 12. Let f(a) = -6*n(a) + 13*x(a). Factor f(d).
(d - 3)*(d - 1)*(d + 2)
Factor -2*q**2 + 37046 - 37046 - 24*q.
-2*q*(q + 12)
Let n(u) = -9*u**4 + 108*u**3 - 45*u**2 - 150*u + 144. Let s(k) = 2*k**4 - 22*k**3 + 9*k**2 + 30*k - 29. Let q(w