n + 2)/4
Factor 306*k**3 - 31*k**4 - 28*k**5 - 507 + 56*k**5 - 27*k**5 + 1261*k - 1030*k**2.
(k - 13)**2*(k - 3)*(k - 1)**2
Solve 34/3 - 104/9*c + 2/9*c**2 = 0.
1, 51
Let g = -3 - -5. Suppose 0 = -2*a + 12 - g. Find h such that 2*h**2 + a*h**3 - 5*h**3 - 2 - 2*h**3 + 2*h = 0.
-1, 1
Let r = -9485/3 - -3163. Factor 0 + r*h**2 + 8/3*h.
4*h*(h + 2)/3
Let y(w) be the first derivative of w**4/14 - 60*w**3/7 - 183*w**2/7 - 184*w/7 + 792. Find t such that y(t) = 0.
-1, 92
Let w be (-315)/(-49) + -7 + (-54)/(-21). Factor -1/3*p**w + 0 + 2/3*p.
-p*(p - 2)/3
Let u(h) = h**2 + 4*h + 3. Let l be u(0). Let k(t) be the second derivative of -1/4*t**4 + 0 - 3/40*t**5 - 1/3*t**l + 0*t**2 - 1/120*t**6 - t. Factor k(y).
-y*(y + 2)**3/4
Suppose 4*q + 0 + 10/3*q**2 + 2/3*q**3 = 0. What is q?
-3, -2, 0
Let m(s) be the second derivative of -s**8/2800 - 3*s**7/1400 - s**6/200 - s**5/200 + 3*s**3 - 10*s. Let x(l) be the second derivative of m(l). Factor x(c).
-3*c*(c + 1)**3/5
Let l(a) be the third derivative of 5*a**8/336 - 4*a**7/21 + 5*a**6/6 - 5*a**5/6 - 35*a**4/8 + 15*a**3 + 23*a**2 - 1. Determine u so that l(u) = 0.
-1, 1, 2, 3
Let k = -271213/4428 - 1/2214. Let q = 62 + k. Factor -1/4*j**2 + 0 - q*j.
-j*(j + 3)/4
Let i(q) = -4*q + 20. Let d be i(0). Suppose -10 = 5*b - d. Factor -4/3*u + 0 + 2/3*u**3 + 2/3*u**b.
2*u*(u - 1)*(u + 2)/3
Let j be (-184)/(-156) + 23*(-18)/(-2691). Factor j*r - 2/3*r**2 - 2/3.
-2*(r - 1)**2/3
Let -10/9*n**4 - 4/9*n**3 + 16/9*n**2 + 0 + 0*n - 2/9*n**5 = 0. Calculate n.
-4, -2, 0, 1
Suppose -4*h + 3*u + 289 = 0, 6*h - 4*u = 3*h + 208. Determine j so that -33*j**2 + h*j**2 - 40*j**2 = 0.
0
Let q(b) be the first derivative of -2*b**6/3 + 48*b**5/5 - 21*b**4 + 40*b**3/3 - 63. Find k, given that q(k) = 0.
0, 1, 10
Suppose -2*l = 11*l - 26. Factor -390*o + 382*o + 2*o**4 + l*o**3 + 4*o**3.
2*o*(o - 1)*(o + 2)**2
Let f(c) = -c + 4 - 2*c + c. Let m be f(0). Factor 1/2*z**m - 1/2*z**2 + 0*z + 1/4*z**5 - 1/4*z**3 + 0.
z**2*(z - 1)*(z + 1)*(z + 2)/4
Let h be (-2088)/144 - (-11 - 4). Solve 0 + h*g + 1/2*g**2 = 0.
-1, 0
Let q be (-308)/(-88)*((-10)/15)/(2/(-3)). Find p such that -1/4*p**2 + q*p - 49/4 = 0.
7
Determine b so that -21/8 + 3*b - 3/8*b**2 = 0.
1, 7
Let d be (-96)/(-80) - (-4)/30. Factor 8/3 + 4*q + 0*q**2 - d*q**3.
-4*(q - 2)*(q + 1)**2/3
Solve -10*y**4 - 35*y**3 + 40*y**2 + 0*y**4 - 6725*y + 6785*y + 3*y**5 + 2*y**5 = 0 for y.
-2, -1, 0, 2, 3
Let s(t) be the third derivative of -t**8/2016 + 2*t**7/315 - t**6/40 + t**5/90 + 19*t**4/144 - t**3/3 - 404*t**2. Find r such that s(r) = 0.
-1, 1, 3, 4
Suppose -2/9*x**2 + 8/9 - 8/9*x + 2/9*x**3 = 0. What is x?
-2, 1, 2
Suppose 3*z = 5*l + 35, 36*z - 33*z = -5*l - 5. Suppose -i - 5*u = -14, -2*i + 0 = -5*u + 2. Factor -6*q**i - 8/5*q**2 + 0 + 0*q + 5*q**z - 36/5*q**3.
q**2*(q - 2)*(5*q + 2)**2/5
Determine d so that -14/11*d - 1/11*d**2 - 49/11 = 0.
-7
Solve 39/2*x - 3/2*x**2 + 21 = 0.
-1, 14
Let p(t) be the second derivative of -13/6*t**3 + 0 + 3*t**2 + 5/12*t**4 + 4*t. Let p(z) = 0. What is z?
3/5, 2
Let s = 3136 - 3132. Suppose 0*z**3 + 0*z**2 + 0 + 2/5*z**s + 0*z + 2/5*z**5 = 0. What is z?
-1, 0
Let p = 37013 + -37010. Factor 0 + 12/7*o**4 + 2/7*o**5 + 20/7*o**2 + 6/7*o + 24/7*o**p.
2*o*(o + 1)**3*(o + 3)/7
Solve -2352*b**3 + 2659*b**2 - 187*b**4 + 563*b**4 + 2109*b**2 - 3200*b + 4*b**5 = 0.
-100, 0, 2
Let r(c) be the first derivative of c + c**3 + 1/4*c**4 - 14 + 3/2*c**2. Solve r(w) = 0 for w.
-1
Let m(l) be the second derivative of 14*l**6/15 - 23*l**5/5 - 19*l**4 + 138*l**3 - 108*l**2 - 17*l + 2. Factor m(s).
4*(s - 3)**2*(s + 3)*(7*s - 2)
Let y be (8/9)/((-21)/84*(-8)/9). Let t(k) = -k + 4. Let p be t(4). Factor -2/7*f**5 - 4/7*f**y + p - 2/7*f**3 + 0*f**2 + 0*f.
-2*f**3*(f + 1)**2/7
Suppose 155*m + 16 = 159*m. Let f(h) be the second derivative of -9*h + 0 - 4/7*h**2 - 1/21*h**m + 2/7*h**3. Determine t, given that f(t) = 0.
1, 2
Let d(o) be the second derivative of 4/21*o**4 - 1/147*o**7 + 0 + 0*o**3 + o + 0*o**2 + 2/35*o**6 - 6/35*o**5. Factor d(r).
-2*r**2*(r - 2)**3/7
Let c = 28/15 - 6/5. Let v(w) be the first derivative of 0*w - 5 + w**2 - c*w**3. Factor v(t).
-2*t*(t - 1)
Let h(u) be the first derivative of u**4/12 + 47*u**3/9 + 308*u**2/3 + 484*u + 299. What is q in h(q) = 0?
-22, -3
Let w(o) be the third derivative of o**5/15 + 11*o**4/24 + 23*o**3/3 - 39*o**2. Let x(p) = -9*p**2 - 21*p - 91. Let s(d) = -7*w(d) - 3*x(d). Factor s(j).
-(j + 7)**2
Suppose 0*z + 4*z = 5*p + 17, -4*p = -5*z + 19. Factor -4*t**2 + 89*t + 11 - 93*t - z.
-4*(t - 1)*(t + 2)
Suppose 4*f - 5 = -6*y + 3*y, 0 = -f - 2*y - 5. Let a(n) be the first derivative of 2*n**3 + 2 + 15/4*n**4 + 0*n**2 + 0*n - 21/5*n**f. Factor a(l).
-3*l**2*(l - 1)*(7*l + 2)
Let t(v) = -3*v**2 + 25*v - 28. Let y(a) = 5*a**2 - 50*a + 55. Let b(u) = -5*t(u) - 2*y(u). Solve b(d) = 0.
2, 3
Suppose 17*d - 2 = 15*d. Let w = d - -11. Factor 6*a + 8*a - w*a + 2*a**2 - 4.
2*(a - 1)*(a + 2)
Factor -5/6*s**2 - 25/6*s + 5.
-5*(s - 1)*(s + 6)/6
Let n(p) be the third derivative of 0*p**3 - 1/480*p**6 + 0*p + 0*p**4 + 0 - 1/240*p**5 + 13*p**2. Determine x so that n(x) = 0.
-1, 0
Let x = 196/131 - -1/262. Suppose 0 = 3*s - 0*s. Let -3 - x*o**3 + 9/2*o + s*o**2 = 0. What is o?
-2, 1
Let f(j) be the first derivative of -j**8/336 + 4*j**7/315 - 7*j**6/360 + j**5/90 + 22*j**2 + 40. Let m(g) be the second derivative of f(g). Factor m(w).
-w**2*(w - 1)**2*(3*w - 2)/3
Let x be (45/4)/(-1)*(-4716)/3930. Solve x + 1/6*l**4 + 2*l**3 + 18*l + 9*l**2 = 0.
-3
Let f(n) be the third derivative of -n**7/1365 - 17*n**6/780 - 19*n**5/78 - 175*n**4/156 + 727*n**2. Factor f(r).
-2*r*(r + 5)**2*(r + 7)/13
Let c be (-2 + 22/8)*20. Factor -2*o + c*o + o**3 + 20*o - 8*o + 10*o**2.
o*(o + 5)**2
Let l(t) be the third derivative of 0*t**3 + 0*t**5 - 26*t**2 - 1/2184*t**8 - 2/1365*t**7 - 1/780*t**6 + 0 + 0*t**4 + 0*t. Determine i, given that l(i) = 0.
-1, 0
Suppose -4*b + 11 = v, 0 = -6*v + 8*v - 3*b. Factor 22*j + 10*j**4 + 15*j**4 - 8*j**2 - 35*j**v - 2*j - 32*j**2.
5*j*(j - 2)*(j + 1)*(5*j - 2)
Let a = 6806 - 27221/4. Find g, given that 9/4 - a*g**2 - 15/8*g + 3/8*g**3 = 0.
-2, 1, 3
Let q(w) be the first derivative of 340/3*w**3 - 175/2*w**4 - 188/3*w**2 + 16*w + 9 + 50/3*w**5. Factor q(f).
2*(f - 3)*(5*f - 2)**3/3
Let n(x) be the second derivative of -x**9/5040 - x**8/2240 + x**7/840 + x**6/240 + 3*x**4/2 + 21*x. Let j(v) be the third derivative of n(v). Solve j(i) = 0.
-1, 0, 1
Find i such that 0 - 8/3*i + 4/3*i**2 = 0.
0, 2
Let a(i) be the third derivative of 0 + 0*i**5 + 0*i + 4*i**2 - 1/2*i**3 - 1/360*i**6 + 1/6*i**4. Let g(z) be the first derivative of a(z). Factor g(j).
-(j - 2)*(j + 2)
Let y(g) be the third derivative of 9*g**7/70 + 31*g**6/40 + 28*g**5/45 + g**4/6 - 5*g**2 - 6*g. Factor y(z).
z*(z + 3)*(9*z + 2)**2/3
Let q(t) be the third derivative of -t**9/4536 - t**8/1260 - t**7/1260 + t**3/2 - 4*t**2. Let g(s) be the first derivative of q(s). Factor g(d).
-2*d**3*(d + 1)**2/3
Let h(q) = 6*q**2 + 5*q + 5. Let z be 4 - ((-1 - 0) + 0). Let d(s) = -5*s**2 - 4*s - 4. Let a(x) = z*d(x) + 4*h(x). Factor a(t).
-t**2
Let y = 5 + -2. Factor -a**2 - 11*a**y - 38*a + 38*a + 10*a**3.
-a**2*(a + 1)
Let q(w) be the first derivative of 10*w - 2/15*w**3 + 1/30*w**4 - 7 + 0*w**2. Let y(x) be the first derivative of q(x). Solve y(o) = 0.
0, 2
Let l be 5/(4/12 - 0). Let a(p) = p**2 - 16*p + 18. Let x be a(l). Factor -k**3 + k + 12 - 2*k**x + 2*k + 3*k**2 - 15.
-3*(k - 1)**2*(k + 1)
Let p(w) be the third derivative of -w**10/30240 - w**9/5040 + w**7/630 + w**4/3 + 4*w**2. Let o(a) be the second derivative of p(a). Factor o(t).
-t**2*(t - 1)*(t + 2)**2
Let k(x) be the third derivative of -x**5/150 - 31*x**4/30 - 61*x**3/15 - 305*x**2. Suppose k(l) = 0. Calculate l.
-61, -1
Suppose 0 = -5*m - 2*y + 10, -3*m = 8*y - 10*y - 22. Let -1/3*v**2 + 0 + 1/3*v**m + 0*v + 0*v**3 = 0. What is v?
-1, 0, 1
Suppose -3*j + 284 = -4*t + 300, -2*t + 18 = -4*j. Let y(n) be the first derivative of -t + 1/3*n**3 + 1/5*n + 2/5*n**2 + 1/10*n**4. Let y(k) = 0. What is k?
-1, -1/2
Suppose 8 + 34 = 2*k. Let h = -17 + k. Factor -8*w**h + 4*w + 4*w**5 - 4*w + 4*w**4.
4*w**4*(w - 1)
Let m(t) be the second derivative of t**4/15 + t**3/10 - 11*t**2/5 + 55*t + 1. Find g such that m(g) = 0.
-11/4, 2
Let w(r) = -