**2 - 4 - j**3 + 3*j**3 - 6*j**2.
2*(j - 1)*(j + 1)*(j + 2)
Let s(m) = 3 - 224*m - m**3 + 16*m**2 + 241*m + 1. Let u be s(17). Factor -5*o**4 - 3*o**3 + 12*o**5 + 12*o**u + 2*o**4.
3*o**3*(o + 1)*(4*o - 1)
Let t(d) be the first derivative of -d**4/3 + 56*d**3/9 + 10*d**2 + 606. Find g such that t(g) = 0.
-1, 0, 15
Let g(w) be the second derivative of -w**4/2 - 20*w**3/3 - 12*w**2 + 31*w + 1. Factor g(c).
-2*(c + 6)*(3*c + 2)
Let h(g) = -200*g**3 + 308*g**2 - 124*g + 28. Let f(p) = 401*p**3 - 616*p**2 + 247*p - 59. Let b(t) = -4*f(t) - 9*h(t). What is l in b(l) = 0?
2/7, 1
Let n(g) be the first derivative of 15*g**4 - 10*g**3 + 5*g**2/2 - 6*g + 3. Let p(q) be the first derivative of n(q). Solve p(l) = 0.
1/6
Let q(r) be the third derivative of r**5/690 + r**4/276 - 2*r**3/69 + r**2 - 15. Factor q(v).
2*(v - 1)*(v + 2)/23
Let u = -764 - -3071/4. Suppose -21/4*o**2 - 3/4 + 3*o**5 + 3/4*o**3 - u*o + 6*o**4 = 0. What is o?
-1, -1/2, 1
Determine y so that -359*y**3 - 3045*y**2 + 543 + 174*y**3 - 18*y**4 + 425 + 171*y**2 - 3696*y - 243*y**3 = 0.
-11, -2, 2/9
Let s = 46 + -44. Factor -4 - 2 - 21*u - 4*u**s - 11*u**2.
-3*(u + 1)*(5*u + 2)
Suppose -3/5*l**3 + 27/5*l + 3/5*l**2 - 27/5 = 0. What is l?
-3, 1, 3
Let k be (-6)/27 - (-1537)/477. Let n(l) be the second derivative of -1/6*l**4 + 5*l - 1/10*l**5 + 1/3*l**k + 0 + l**2. Solve n(m) = 0 for m.
-1, 1
Let y be ((5 + -4)*-1*-3)/1. Suppose -2*x + x + 2 = 0. Factor 2*h**2 - 1 + x*h**2 - y.
4*(h - 1)*(h + 1)
Let i(v) be the second derivative of 0*v**2 - 1/120*v**6 + 0 - 1/336*v**7 + 0*v**3 + 0*v**4 - 1/160*v**5 - 11*v. Determine q, given that i(q) = 0.
-1, 0
Let h be 6/24*(-256)/(-24). Factor 0 - 4/3*z**3 + h*z - 4/3*z**2.
-4*z*(z - 1)*(z + 2)/3
Determine x so that 5 + 1 - 16*x + x + 1970*x**2 - 1958*x**2 - 3*x**3 = 0.
1, 2
Suppose -5*c - 3*v + 0*v + 5 = 0, 4*c = 4*v + 36. Let w be c*1/(-2)*-4. Factor -5 + 3 - j**2 + 1 + 6*j - w.
-(j - 3)**2
Let m = 46 - 40. Factor m + 2*b - 6*b**2 - 7*b**3 + 3*b**3 + 2*b**3.
-2*(b - 1)*(b + 1)*(b + 3)
Solve -17*w + 26/3 - 2/3*w**2 = 0 for w.
-26, 1/2
Let s(t) = t**3 - t + 1. Let h = 63 + -60. Let q(b) = 2*b**3 - 4*b**3 + 11 + b**3 + 9*b. Let v(f) = h*s(f) - q(f). What is j in v(j) = 0?
-1, 2
Let t(z) be the first derivative of 4*z**3/3 + 76*z**2 + 148*z + 329. Factor t(h).
4*(h + 1)*(h + 37)
Let t(h) be the third derivative of 13/10*h**6 + 1/14*h**7 + 0 + 21/4*h**5 + 37/4*h**4 + 8*h**3 + 0*h - 43*h**2. Suppose t(j) = 0. What is j?
-8, -1, -2/5
Let s(y) = 35*y + 2240. Let n be s(-64). Factor -2/9*r**3 + 0*r - 2/9*r**2 + n.
-2*r**2*(r + 1)/9
Suppose 9*j = j + 16. Find w such that -4*w + j*w**4 + 11*w**3 - 8*w**3 + w**3 + w**2 - 3*w**2 = 0.
-2, -1, 0, 1
Suppose -5*d + 25 = 2*o, 0 = 3*d - 5*o + 268 - 252. Let -9/4*i - 2*i**5 + 29/4*i**2 + 15/2*i**4 - 43/4*i**d + 1/4 = 0. Calculate i.
1/4, 1/2, 1
Let h(w) be the third derivative of 7*w**6/200 + 17*w**5/10 + 132*w**4/5 + 144*w**3/5 + 33*w**2 - 2*w. Factor h(m).
3*(m + 12)**2*(7*m + 2)/5
Let f be (3/(-7))/(118/(-413)). Find n such that f*n**3 + 0 + 3/2*n - 3*n**2 = 0.
0, 1
Suppose -1/7*w**3 - 6/7*w**2 + 0 + 0*w = 0. What is w?
-6, 0
Let s(l) be the first derivative of -9*l**4/10 - 4*l**3/3 + 9*l**2/5 + 4*l - 67. What is w in s(w) = 0?
-10/9, -1, 1
Let o(t) be the second derivative of 0*t**5 - 6*t - 2*t**2 - 1/24*t**4 + 0 - 1/9*t**3 + 1/360*t**6. Let d(i) be the first derivative of o(i). Factor d(c).
(c - 2)*(c + 1)**2/3
Let m(q) be the first derivative of -q**6/40 - 9*q**5/80 - q**4/8 - 13*q + 7. Let b(i) be the first derivative of m(i). Find p such that b(p) = 0.
-2, -1, 0
Let b(j) be the first derivative of -j**7/189 + 2*j**6/135 - j**4/27 + j**3/27 - 7*j + 16. Let l(s) be the first derivative of b(s). Factor l(x).
-2*x*(x - 1)**3*(x + 1)/9
Let k(a) = a**2 + 9*a + 4. Let d(q) be the third derivative of q**5/60 + 5*q**4/12 + 2*q**3/3 - 6*q**2. Let y(x) = -5*d(x) + 6*k(x). Factor y(g).
(g + 2)**2
Let z(n) = n**2 + n + 2. Suppose 4*t = 4*h - 8, -3*t + 4*t - 34 = -5*h. Let v(f) = 2*f**2 + 2*f + 2. Let w(i) = h*z(i) - 4*v(i). Determine c so that w(c) = 0.
-2, 1
Suppose -111*f = -108*f - 12. Let w(y) be the second derivative of 0 + 1/15*y**f + 1/30*y**3 + 0*y**2 + 2*y. Factor w(z).
z*(4*z + 1)/5
Let p(c) be the second derivative of -5*c**7/42 + c**6/3 + 3*c**5/4 - 10*c**4/3 + 10*c**3/3 - 53*c + 9. Solve p(u) = 0.
-2, 0, 1, 2
Let b(g) be the first derivative of -g**4/2 + 210*g**3 - 33075*g**2 + 2315250*g - 20. Suppose b(s) = 0. Calculate s.
105
Factor -15/2*o - 21 + 3/2*o**2.
3*(o - 7)*(o + 2)/2
Let d = -2191 + 10916/5. Let i = d + 8. Solve -i*f**3 + 2/5 + 1/5*f**4 - 3/5*f**2 + 1/5*f = 0 for f.
-1, 1, 2
Let f be -8*(-1 - 26/(-4)). Let h be f/126 + (-20)/(-35). Factor -2/3*j**3 - 2/3*j**4 + 0 + 0*j - h*j**2 - 2/9*j**5.
-2*j**2*(j + 1)**3/9
Let h(m) be the second derivative of -m**6/60 + 3*m**5/40 - m**3/3 + 247*m. Let h(x) = 0. Calculate x.
-1, 0, 2
Let k(f) be the second derivative of -7*f**5/5 + 100*f**4/3 - 238*f**3/3 + 52*f**2 + 7*f. Suppose k(b) = 0. What is b?
2/7, 1, 13
Let v(t) = -5 - 3*t + 5*t + t**2 + 4. Let u be v(1). Let -12/7*f - 2/7*f**u - 18/7 = 0. Calculate f.
-3
Factor -59 - 125*d - 10 + 11*d - 11 - 36 + 2*d**2.
2*(d - 58)*(d + 1)
Suppose 0*a - 2*a = 0, 7*o - 4*a - 12 = -0*o + 3*o. Let g = 6 + -2. What is y in 0*y + 0 - 2/5*y**g + 2/5*y**2 + 0*y**o = 0?
-1, 0, 1
Suppose 0 = -11*z + r + 40, -5*z + r = -3*z - 4. Solve -4/3*b + 2/3*b**5 + 4/3*b**2 - 5/3*b**z + 1/3 + 2/3*b**3 = 0.
-1, 1/2, 1
Let a(u) be the second derivative of u**4/72 + 13*u**3/18 + 169*u**2/12 - 3*u - 2. Factor a(n).
(n + 13)**2/6
Let q(m) be the second derivative of 0*m**3 + 0*m**4 - 5*m**2 + 0 - 10*m - 1/300*m**5 - 1/600*m**6. Let j(z) be the first derivative of q(z). Factor j(p).
-p**2*(p + 1)/5
Let j(b) = b + 9. Let c be j(9). Factor 3*r**2 + 7 - 21*r - 15*r + 8 + c.
3*(r - 11)*(r - 1)
Factor -126/5*p**2 + 0 + 48/5*p + 3*p**3.
3*p*(p - 8)*(5*p - 2)/5
Suppose 5*v = -5*j - 5, j + 4*v - 149 = -165. Find x, given that j - 16/3*x + 4/3*x**2 = 0.
1, 3
Suppose 4*q + 4 = 24. Suppose 2*r = q*r - 6. Factor 27/4*a**r + 3/2*a + 0 + 21/4*a**3.
3*a*(a + 1)*(7*a + 2)/4
Let r(j) be the first derivative of -j**4/14 - 4*j**3/7 + j**2 + 188. Determine z, given that r(z) = 0.
-7, 0, 1
Factor -5/2*l**2 + 0 - 35/2*l.
-5*l*(l + 7)/2
Let i(z) = 10*z + 1. Let r be i(1). Factor -9 + f**2 - 2*f**2 + 4 - 8*f - r.
-(f + 4)**2
Let s(u) be the third derivative of 0 - 7/40*u**6 - 5/8*u**4 + 0*u + 1/35*u**7 - 14*u**2 + 9/20*u**5 + 1/2*u**3. Factor s(q).
3*(q - 1)**3*(2*q - 1)
Let h(t) be the second derivative of t**5/70 - 3*t**4/14 + 20*t**3/21 + 127*t. Find r such that h(r) = 0.
0, 4, 5
Let y(l) be the first derivative of l**4/6 + 4*l**3/9 + l**2/3 - 67. Factor y(k).
2*k*(k + 1)**2/3
Suppose 0 = -h - 3*g - 0*g - 11, 0 = 2*h - g - 6. Suppose -3 = -u - h. Determine m so that -1/5*m**u - 1/5*m + 0 = 0.
-1, 0
Factor 80*u + 11*u**4 - 20 + 128*u**2 - u**4 - 44 + 76*u**3 + 40*u**2.
2*(u + 2)**2*(u + 4)*(5*u - 2)
Let h(s) be the first derivative of 1/9*s**6 + 0*s + 4/9*s**3 - 1/3*s**2 + 7 + 0*s**4 - 4/15*s**5. Factor h(x).
2*x*(x - 1)**3*(x + 1)/3
Let m(s) be the first derivative of s**6/24 - 5*s**4/8 - 5*s**3/3 - 15*s**2/8 - s + 25. Let m(v) = 0. What is v?
-1, 4
Suppose 495/4*b**5 - 3813/4*b**3 - 411/2*b**4 + 12 - 147*b - 783*b**2 = 0. Calculate b.
-1, -2/5, 2/33, 4
Let f(x) be the third derivative of -x**8/896 - x**7/56 - 31*x**6/320 - 11*x**5/80 + x**4/2 + 2*x**3 - 71*x**2. Suppose f(a) = 0. Calculate a.
-4, -2, -1, 1
Find a, given that 128/3*a + 2/9*a**3 - 16/3*a**2 - 1024/9 = 0.
8
Let h(l) be the first derivative of l**8/84 - 2*l**7/105 - 7*l**2 - 22. Let w(i) be the second derivative of h(i). Suppose w(b) = 0. What is b?
0, 1
Let s(m) be the third derivative of -m**6/240 + m**4/4 + 4*m**3/3 + 11*m**2 - 5. Let s(b) = 0. What is b?
-2, 4
Let d(c) be the first derivative of c**7/147 + 2*c**6/105 - c**4/21 - c**3/21 - 19*c - 2. Let g(s) be the first derivative of d(s). Factor g(t).
2*t*(t - 1)*(t + 1)**3/7
Let j be 488/(-2562)*(-14)/20. Find v, given that 8/5*v - 8/15 + 4/5*v**3 - 26/15*v**2 - j*v**4 = 0.
1, 2
What is w in -1/4*w**2 - 100 - 10*w = 0?
-20
Let t(i) = i**2 + 10*i + 12. Let g be t(-8). Let w be 0/2 - (g + 0). Suppose 22*h**5 - 2*h**2 + 6*h**5 - 3*h**2 - 64*h**w - 3*h