m**4 + 3/2*m**n.
-m*(m - 1)**3/2
Let c be 6*2/4*840/63. Suppose 8*r + 0 = c. Factor -3*s**3 + 3/4*s**r + 3/2*s**2 + 0*s**4 + 9/4*s - 3/2.
3*(s - 1)**3*(s + 1)*(s + 2)/4
Let d(u) = -2*u**2 - 1. Let z(h) = 17*h**2 + 206*h - 10600. Let n(c) = 36*d(c) + 4*z(c). Let n(w) = 0. What is w?
103
Let c = 7/221 + 628/1105. Factor -3/5*n + c*n**2 - 6/5.
3*(n - 2)*(n + 1)/5
Let z(p) be the first derivative of -p**3/3 + 245*p**2 - 60025*p + 400. Suppose z(j) = 0. Calculate j.
245
Let z(q) be the first derivative of 2*q + 3/2*q**2 + 20 + 1/3*q**3. Suppose z(b) = 0. Calculate b.
-2, -1
Suppose m - 6*p - 13 = -5*p, -5*m = -2*p - 62. Suppose 16*b**2 - 5*b**2 - m*b**2 - b**3 = 0. Calculate b.
-1, 0
Suppose 0 = -3*c - 4*t + 48, 5*c - t = 2*t + 51. Suppose 0 = -4*u + c - 4. Let -2/9*r**4 + 0 - 8/9*r**u - 8/9*r**3 + 0*r = 0. Calculate r.
-2, 0
Let s be (108/462)/(-9)*-28. Let d be 2 - 3 - (-13)/11. Factor 10/11*a**3 + d*a + 4/11*a**4 + 0 + s*a**2.
2*a*(a + 1)**2*(2*a + 1)/11
Let m = -408/7 + 2227/28. Let y = m + -19. Factor 0*l + 3/4*l**5 + 0*l**4 + 3/2*l**2 + 0 - y*l**3.
3*l**2*(l - 1)**2*(l + 2)/4
Factor 34/3*w - 35/3 + 1/3*w**2.
(w - 1)*(w + 35)/3
Let k(u) be the third derivative of 0*u + 0*u**3 + 0 - 14*u**2 + 1/30*u**6 + 1/6*u**4 + 2/15*u**5. Solve k(o) = 0.
-1, 0
What is t in -99*t**5 + 3183624 - 93633*t**3 - 3182706*t**2 + 84226*t - 918*t**4 + 35*t**5 + 30*t**5 + 31*t**5 + 9410*t = 0?
-102, -1, 1
Suppose -132*m + 127*m = -15. Let r(v) be the third derivative of 0*v + 1/18*v**m - 1/72*v**4 + 2*v**2 + 0 - 1/180*v**5 + 1/360*v**6. Factor r(l).
(l - 1)**2*(l + 1)/3
Suppose -9*y - 60 = -6*y - 18*y. Determine k so that 160/7*k + 160/7*k**2 + 2/7*k**5 + 64/7 + 80/7*k**3 + 20/7*k**y = 0.
-2
Let h = 3793 - 3790. Solve 2/5*i**h + 0 + 0*i**2 - 2/5*i = 0 for i.
-1, 0, 1
Let m(b) be the third derivative of 3*b**6/160 - b**5/10 + 7*b**4/32 - b**3/4 - b**2 - 31*b. Determine p, given that m(p) = 0.
2/3, 1
Let w(y) = y**2 - 1. Let j(v) = 2*v**2 + 816*v + 10 - 804*v + 0*v**2. Let p(c) = j(c) + 2*w(c). Solve p(t) = 0 for t.
-2, -1
Find n, given that 1 + 13*n**3 + 4*n**2 + 6*n**2 - 31*n**3 - 17 - 4*n + 16*n**3 = 0.
-1, 2, 4
Let j(g) = 0*g - 1 + 2*g - 6. Let a be j(5). Let -5 + a*q + 0 + 5 + q**2 = 0. Calculate q.
-3, 0
Let d(q) be the third derivative of -q**6/24 - q**5/2 + 5*q**4/6 + 20*q**3 - 32*q**2 + 5. Factor d(h).
-5*(h - 2)*(h + 2)*(h + 6)
Let j(u) be the second derivative of -u**7/630 + 2*u**5/15 - u**4/6 + 2*u. Let v(i) be the third derivative of j(i). Factor v(x).
-4*(x - 2)*(x + 2)
What is d in 2*d**2 + 2/3*d - 2 - 2/3*d**3 = 0?
-1, 1, 3
Let w(i) be the first derivative of -3*i**4 + 68*i**3/3 + 64*i**2 - 112*i + 132. Factor w(m).
-4*(m - 7)*(m + 2)*(3*m - 2)
Let l be 236/58 + 386/(-5597). Solve -1/8*v**l + 0*v**3 + 1/8*v**2 + 0*v + 0 = 0 for v.
-1, 0, 1
Let d(r) be the first derivative of -r**3/7 - 3*r**2/14 + 24*r + 242. What is j in d(j) = 0?
-8, 7
Let j = -1004 - -2009/2. Let 1 + 3/2*z**2 - 5/2*z - j*z**4 + 1/2*z**3 = 0. What is z?
-2, 1
Let z(s) = 8*s**4 - 17*s**3 - s**2 - 4*s - 7. Let a(x) = -7*x**4 + 15*x**3 + x**2 + 3*x + 6. Let h(d) = 7*a(d) + 6*z(d). Let h(i) = 0. Calculate i.
-1, 0, 1, 3
Suppose 9*i - 16 = 7*i. Suppose -2 = 2*s, 3*s - i = -5*j + 9. What is y in -14/9*y**2 + 0 - 8/9*y**5 - 26/9*y**j - 2/9*y - 10/3*y**3 = 0?
-1, -1/4, 0
Find q, given that -6*q**2 - 5*q - 3*q**3 - 1/2*q**4 - 3/2 = 0.
-3, -1
Let n = 231 - 349. Let k = n - -118. Let x**2 + 1/2*x**3 + k*x + 0 - 1/2*x**4 = 0. Calculate x.
-1, 0, 2
Let h = 18 + -15. Suppose -h*k = x + 3, -4*x + x + k = -11. Factor 4*b**x + b - 7*b**4 + 8*b**2 - b + 3*b**4.
-4*b**2*(b - 2)*(b + 1)
Let w be (-33)/(-6) - (-70)/(-15 + 1). Factor 1/2*t**2 - 2 + w*t**3 - 2*t.
(t - 2)*(t + 1)*(t + 2)/2
Let b(w) be the first derivative of 25 - 1/5*w**3 - 6/5*w - 9/10*w**2. Factor b(u).
-3*(u + 1)*(u + 2)/5
Let k(g) be the first derivative of -4/3*g**3 + 6 + 2*g + 1/2*g**2 + 2/5*g**5 + 1/6*g**6 - 1/2*g**4. Suppose k(q) = 0. What is q?
-2, -1, 1
Let w(q) be the third derivative of -18*q**2 + 0*q + 4/15*q**3 - 1/300*q**7 - 1/15*q**4 + 1/3360*q**8 + 0 - 1/75*q**5 + 1/75*q**6. Determine k so that w(k) = 0.
-1, 2
Let d(i) = -2*i**2 + i - 1. Let s(w) = 59*w**2 + 44*w - 11. Let o(n) = d(n) + s(n). Factor o(q).
3*(q + 1)*(19*q - 4)
Let j(v) be the third derivative of -v**8/560 + v**7/35 + 3*v**6/25 + v**5/50 - 23*v**4/40 - 6*v**3/5 + 135*v**2. Solve j(s) = 0.
-1, 1, 12
Suppose -4*w = -4*z - 0*w - 12, -4*w = -3*z - 11. Let p be z/5 - (-64)/20. Let -3*t**p + 2*t**2 + 3*t**2 - 8*t**2 = 0. Calculate t.
-1, 0
Factor -6 + 3*j**2 + 36*j - 12*j**2 - j**2 - 12.
-2*(j - 3)*(5*j - 3)
Let t(v) be the second derivative of v**6/330 + 3*v**5/110 + v**4/33 - v**3/11 - 5*v**2/22 - 111*v. Factor t(f).
(f - 1)*(f + 1)**2*(f + 5)/11
Suppose 617 = -10*w + 617. Let r(v) be the third derivative of -1/36*v**4 + 1/90*v**5 + 8*v**2 + 0 + 0*v + w*v**3. Factor r(z).
2*z*(z - 1)/3
Let f be (3/6)/((-2)/233). Let q = f + 59. Factor 0*r + r**4 + q*r**3 + 0 - 1/4*r**2.
r**2*(r + 1)*(4*r - 1)/4
Let g = -16 - -16. Let n = 1353/2 + -9431/14. Factor 50/7*i**3 + g + 2/7*i + n*i**2.
2*i*(5*i + 1)**2/7
Let f be 548/330 + 24/(-396). Let t(y) be the first derivative of -2*y**2 - 9 + y**4 - 4*y**3 + f*y**5 + 4*y. Determine j, given that t(j) = 0.
-1, 1/2, 1
Let l(z) be the first derivative of 0*z**2 - 6 + 0*z + 1/18*z**3. Suppose l(h) = 0. Calculate h.
0
Let b be (-9 - -6)*-3 - (-114)/(-19). Factor 3/2*y**b - 3/2*y + 1/2*y**2 - 1 + 1/2*y**4.
(y - 1)*(y + 1)**2*(y + 2)/2
Let a = 23/42 + 11/14. Suppose -263 = 9*q - 281. Solve 10/3*u + 4/3 + a*u**q = 0.
-2, -1/2
Suppose 8*c + 58 = 10*c + 5*z, 32 = -2*c + 4*z. Factor 0*p + 0 - 6/5*p**3 - 1/5*p**c - 9/5*p**2.
-p**2*(p + 3)**2/5
Let x be (-2232)/992*((-4)/(-66))/(-1). Let w(p) be the first derivative of -x*p**4 + 0*p - 3 + 0*p**2 + 2/55*p**5 + 4/33*p**3. Solve w(j) = 0.
0, 1, 2
Let b(n) be the first derivative of 2*n**5/15 + 2*n**4/3 - 10*n**3/9 + 186. Factor b(w).
2*w**2*(w - 1)*(w + 5)/3
Let i(x) be the third derivative of -x**6/40 - x**5/20 + x**4/4 + 58*x**2 + 2. Factor i(l).
-3*l*(l - 1)*(l + 2)
Let q = -50 + 63. Solve -5*o**3 - 8*o**4 - 5 - 8*o**4 + 5*o - 7*o**4 + q*o**4 + 15*o**2 = 0.
-1, 1/2, 1
Suppose 0 = -39*i - 17*i + 560. Let u(d) be the first derivative of -2/3*d**5 - i - 8/9*d**3 + 1/9*d**6 + 4/3*d**4 + 0*d**2 + 0*d. Solve u(f) = 0.
0, 1, 2
Let w(i) be the first derivative of -3*i**5/20 + 9*i**4/8 - i**3/4 - 9*i**2 - 12*i - 121. Factor w(o).
-3*(o - 4)**2*(o + 1)**2/4
Find r, given that -4*r**5 - 24 + 147*r**3 + 17*r**4 - 56*r**2 + 9*r - 147*r**3 - r**4 + 59*r = 0.
-2, 1, 3
Let x(u) be the first derivative of u**7/70 - u**6/90 - u**5/15 + 3*u**3 - 9. Let a(f) be the third derivative of x(f). Factor a(k).
4*k*(k - 1)*(3*k + 2)
Let c be 6/24*-4 - 7/(-2). Let z(m) be the second derivative of 25/27*m**6 + 5/2*m**4 + 0 - 4*m + 0*m**2 - c*m**5 - m**3. Determine x so that z(x) = 0.
0, 3/5
Let w(v) = 2*v**3 - 10*v**2 - 12*v + 28. Let t = -2 - 2. Let m(k) = -5*k**3 + 19*k**2 + 23*k - 55. Let d(a) = t*m(a) - 9*w(a). Factor d(j).
2*(j - 1)*(j + 4)**2
Let j(g) be the second derivative of g**4/66 - 21*g**3/11 - 2*g + 144. Factor j(n).
2*n*(n - 63)/11
Let w(b) = b**3 + 16*b**2 + 21*b + 92. Let j be w(-15). Suppose 2*c + j + 1/2*c**2 = 0. Calculate c.
-2
Let f(t) = t**4 - t**3 + t**2 - t - 1. Let w(h) = 6*h**5 - 19*h**4 - 29*h**3 + 9*h**2 + 45*h - 1. Let i(j) = -22*f(j) - 2*w(j). Determine r so that i(r) = 0.
-2, -1, 1/3, 1, 3
Let w(x) be the third derivative of -x**7/315 + 2*x**6/45 - x**5/10 - x**4/2 + 206*x**2. Factor w(t).
-2*t*(t - 6)*(t - 3)*(t + 1)/3
Let k(o) = o**3 - 13*o**2 - 15*o + 9. Let n be k(14). Let s = n - -7. Factor 0*f**4 + 4*f**2 - 6*f**s + f - f**5 + 0*f**5 + 2*f**4.
-f*(f - 1)**3*(f + 1)
Let w(a) = -a**3 - 4*a**2 - 3*a + 4. Let q be w(-3). Suppose -4 = -2*b - q*r - 2, 4*b = 2*r + 14. Suppose 6*n**2 - 2*n**b - 8 + 6*n**3 - 2*n**3 = 0. What is n?
-2, 1
Suppose -4*y = 2*n - 7*n - 33, n + 5 = 0. Factor 3*v + 4*v + y*v**2 + 3*v + 8.
2*(v + 1)*(v + 4)
Factor 0 + 14/11*n + 16/11*n**2 + 2/11*n**3.
2*n*(n + 1)*(n + 7)/11
Let a(i) be the first derivative of i**6/180 + i**5/30 + i**4/12 + 4*i**3/3 + 5. Let j(w) be the third derivative of a(w). Factor j(x).
2*(x + 1)**2
Let o(h) be the third derivative of -3*h**7/140 