derivative of -1/2*f**q + 3/2*f - 3 + 0*f**2. Solve w(k) = 0.
-1, 1
Find p such that 2/7*p**2 + 138/7*p - 900/7 = 0.
-75, 6
Let p be (-1 - 0 - 7/(-6))*(-219)/(-219). Suppose 0*g - 5*g = 0. Factor -1/6*n**4 + p*n**2 + g + 1/3*n - 1/3*n**3.
-n*(n - 1)*(n + 1)*(n + 2)/6
Let q be (-11 + 2)/9 - -1*3. Factor -15*t + 5*t**3 + 38*t**2 - 8*t**2 - 20*t**q.
5*t*(t - 1)*(t + 3)
Let t(y) be the first derivative of -y**5/10 + 15*y**4/4 - 14*y**3 + 41*y**2/2 - 27*y/2 - 1563. Factor t(r).
-(r - 27)*(r - 1)**3/2
Let i(j) = j**4 - 87*j**3 + 740*j**2 - 2458*j + 1800. Let u(m) = -90*m**3 + 741*m**2 - 2457*m + 1800. Let h(r) = -3*i(r) + 2*u(r). Factor h(p).
-3*(p - 10)**2*(p - 6)*(p - 1)
Let t(n) be the third derivative of -n**5/20 - 4*n**4 - 126*n**3 + 39*n**2 + 8. Factor t(i).
-3*(i + 14)*(i + 18)
Let j(z) be the second derivative of -z**6/90 + 2*z**5/15 - z**4/3 - 16*z**3/9 + 32*z**2/3 + 1725*z. Factor j(y).
-(y - 4)**2*(y - 2)*(y + 2)/3
Let w(j) = -26*j**3 - 106*j**2 + 502*j - 414. Let o(m) = -7*m**3 - 3*m**2 - 1. Let k(t) = 4*o(t) - w(t). Solve k(c) = 0.
1, 5, 41
Let o be (-5)/(-35)*(322/(-28) + 15). Let r(s) be the third derivative of -o*s**4 + 0*s - 3/2*s**3 - 22*s**2 - 1/20*s**5 + 0. Factor r(i).
-3*(i + 1)*(i + 3)
Let k be 36/50*(87 + -86)*5/3. What is n in -2/5*n**2 - k*n + 4 = 0?
-5, 2
Let r be (-12)/(-540)*10 + 94/(-18). Let c be (-81)/612 - r/20. Find s such that -4/17*s**3 + 4/17 + c*s**5 + 2/17*s + 4/17*s**4 - 8/17*s**2 = 0.
-2, -1, 1
Let t(p) be the first derivative of -p**6/50 - 3*p**5/50 + 3*p**4/20 + 2*p**3/5 - 6*p**2/5 + 50*p + 24. Let b(w) be the first derivative of t(w). Factor b(g).
-3*(g - 1)**2*(g + 2)**2/5
Let v(s) = -s**2 - 27*s - 49. Let j be v(-25). What is h in -j - 2 - 27*h**2 - 2 - 60*h - 7 = 0?
-2, -2/9
Let d = 203517 + -814065/4. Suppose d*f**4 - 9 - 21/4*f**2 - 3/2*f**3 + 15*f = 0. Calculate f.
-3, 1, 2
Factor 254/15*c - 2/15*c**3 + 124/15*c**2 + 128/15.
-2*(c - 64)*(c + 1)**2/15
Let x(f) be the second derivative of f**4/42 + 3*f**3/7 + 2*f**2 - 103*f + 2. Suppose x(v) = 0. What is v?
-7, -2
Let u(a) be the first derivative of 3*a**4/4 - 42*a**2 + 144*a + 1310. Factor u(z).
3*(z - 4)*(z - 2)*(z + 6)
Let h(n) = -9*n + 68. Let v(r) = 9*r - 69. Let q(i) = 4*h(i) + 3*v(i). Let z be q(7). Solve 50/13 + 2/13*b**z - 20/13*b = 0 for b.
5
Suppose 44/3*n - 1/6*n**3 + 19/6*n**2 + 46/3 = 0. Calculate n.
-2, 23
Suppose 11*z - 5*h = 10*z - 18, -14 = -5*z - h. Suppose 15 = -3*o, -4*p - 1 + 14 = -o. What is d in 4*d - 17*d**2 + 3*d**2 + 7*d**p + 5*d**z = 0?
0, 2
Determine g, given that -104*g**3 - 148/3*g**4 + 0*g**2 + 0 + 4/3*g**5 + 0*g = 0.
-2, 0, 39
Suppose 65 = 7*g - 4*g - a, 4*a + 80 = 3*g. Suppose g*l = -10 + 10. Suppose 8/3*b**3 - 2/3*b + 2*b**2 + l = 0. What is b?
-1, 0, 1/4
Factor -450/7 + 1/7*l**3 - 8/7*l**2 - 155/7*l.
(l - 18)*(l + 5)**2/7
Let p(u) be the first derivative of -1/180*u**6 + 0*u + 1/6*u**4 - 24 - 1/60*u**5 + 0*u**2 + 10/3*u**3. Let a(y) be the third derivative of p(y). Factor a(f).
-2*(f - 1)*(f + 2)
Let u(n) be the first derivative of n**8/1960 + 9*n**7/980 + n**6/28 - 5*n**5/28 + 6*n**3 - 46. Let x(a) be the third derivative of u(a). What is w in x(w) = 0?
-5, 0, 1
Suppose -86*o = -88*o. Let g be 9/3 + -3 + o. Find x, given that g + 2/5*x**2 - 2*x = 0.
0, 5
Let n be (528/550)/((60/10)/(42 + -2)). Solve -24/5 - 14/5*p**2 - 2/5*p**3 - n*p = 0.
-3, -2
Let i(o) be the second derivative of 1/21*o**4 - 1/147*o**7 - 1/35*o**5 + 1/7*o**2 - 1/35*o**6 - 1 - 12*o + 1/7*o**3. Suppose i(t) = 0. Calculate t.
-1, 1
Factor 2/9*b**2 - 216*b + 52488.
2*(b - 486)**2/9
Let r = -32965 + 8241617/250. Let i = r - -4/125. Factor 3/8*f**5 - i*f**4 + 0*f + 15/8*f**3 - 3/4*f**2 + 0.
3*f**2*(f - 2)*(f - 1)**2/8
Let n be (2 - 9) + 0 - 405. Let k = 416 + n. Factor 3/5*o**k + 6/5*o**2 + 9/5*o**3 + 0*o + 0.
3*o**2*(o + 1)*(o + 2)/5
Suppose -34*g + 68 + 0 = 0. Let j(l) be the third derivative of 0*l**3 - 8*l**g + 0*l + 0 + 7/15*l**5 + 1/3*l**4. Solve j(u) = 0 for u.
-2/7, 0
Let s(l) be the third derivative of l**6/216 - 269*l**5/180 - 109*l**4/18 + 326*l**3/27 + 3497*l**2. Factor s(q).
(q - 163)*(q + 2)*(5*q - 2)/9
Let x(b) be the third derivative of b + 96*b**2 + 3/64*b**4 + 0*b**3 + 0 + 1/480*b**5. Determine n, given that x(n) = 0.
-9, 0
Let o(n) be the second derivative of n - 15 - 2738*n**3 + 37*n**4 - 1/5*n**5 + 101306*n**2. Factor o(p).
-4*(p - 37)**3
Let s be -2*(-4)/(-88)*-14. Suppose 898 - 427 = 14*r + 443. Factor 0*m + 0 + s*m**3 + 4/11*m**r.
2*m**2*(7*m + 2)/11
Let h be 2*(-4 - (-40)/16). Let w be (25/(-30))/(-10*h/(-24)). Let 0*n - 4/3*n**2 + 0 + w*n**4 + 2/3*n**3 = 0. Calculate n.
-2, 0, 1
Suppose -24*a + 280 = 16*a. Factor -4*s**3 - s**3 + 3*s**2 - a*s**3 + 5*s**2 + 4*s**5 + 0*s**3.
4*s**2*(s - 1)**2*(s + 2)
Let d(u) = -1910*u - 13368. Let w be d(-7). Suppose 196 = 11*r - 134. Factor r*c**w - 2/3*c**3 + 2250 - 450*c.
-2*(c - 15)**3/3
Let u(z) = 2*z**2 - 282*z + 5635. Let i be u(117). Let t(a) be the first derivative of -10/11*a - 1/22*a**4 - 14/33*a**3 - i - a**2. Factor t(x).
-2*(x + 1)**2*(x + 5)/11
Let s = -23608 - -23608. Let h(m) be the second derivative of s*m**2 + 0 + 2/3*m**3 + 4*m + 0*m**5 + 1/2*m**4 - 1/15*m**6. What is u in h(u) = 0?
-1, 0, 2
Determine v so that 5/3*v**2 - 14260/3*v + 10167380/3 = 0.
1426
Solve 40 - 43/2*v**2 - 28*v - 3*v**3 = 0 for v.
-4, 5/6
Let m(f) = 2*f**2 + 53*f + 290. Let a(u) = -u**2 - 26*u - 150. Let r(d) = -5*a(d) - 3*m(d). Factor r(o).
-(o + 5)*(o + 24)
Let i = -14 + 16. Suppose 32 = i*g - 2*p, 24 = g - p - 2*p. Solve 0*r + g*r - 28*r**2 + 9*r**3 - r**3 = 0.
0, 1/2, 3
Factor -2/5*u**2 - 166/5*u + 68.
-2*(u - 2)*(u + 85)/5
Suppose -4*u - 24 = -4*r, 0*r - 5*u - 26 = -3*r. Factor -12 + 35*b**r + 32 - 19 + 11*b + 25*b**3.
(b + 1)*(5*b + 1)**2
Let t(d) be the third derivative of -7*d**5/270 - 118*d**4/27 + 3*d**2 + 284. Determine y, given that t(y) = 0.
-472/7, 0
Let h(i) be the second derivative of i**5/5 - 29*i**4 + 1170*i**3 + 12150*i**2 - 2*i + 19. Determine c so that h(c) = 0.
-3, 45
Suppose 5*f + 28 = k, -7*f + 3*f = 5*k + 5. Let y(j) = 1. Let a = 53 - 43. Let x(g) = g**2 + 3*g + 4. Let q(b) = a*y(b) + f*x(b). Factor q(i).
-5*(i + 1)*(i + 2)
Let u be -4 - 244/(-48) - (0 + 1/(-6)). Let v(g) be the first derivative of -25/2*g**2 - 20/3*g**3 - 10*g - u*g**4 + 9. Let v(m) = 0. What is m?
-2, -1
Solve 2440/3*y**2 + 0 + 74*y**3 - 20/3*y**4 - 2/3*y**5 + 2200/3*y = 0 for y.
-10, -1, 0, 11
Let t(u) be the third derivative of 0*u**3 - 8 - 1/12*u**4 + 3*u**2 + 1/30*u**5 + 0*u. Factor t(o).
2*o*(o - 1)
Factor -17/7*o**2 + 2/7*o**3 - 113/7*o - 52/7.
(o - 13)*(o + 4)*(2*o + 1)/7
Let z(f) be the second derivative of f**7/504 + 53*f**6/144 + 70*f**4/3 + 286*f. Let h(u) be the third derivative of z(u). Factor h(m).
5*m*(m + 53)
Let t(x) be the second derivative of -x**5/20 - 5*x**4/12 - x**3/6 - 3*x**2/2 + 16*x. Let i be t(-5). Factor -y**i - 69 + 4*y + 69 - 5*y + y**3 + y**4.
y*(y - 1)*(y + 1)**2
Let w = 73 + -71. Let d(z) = -8*z - 4 + 0 - 2*z**w - 4. Let p(l) = -6*l**2 - 24*l - 24. Let g(h) = 11*d(h) - 4*p(h). Let g(c) = 0. What is c?
-2
Let i(y) be the third derivative of 61*y**2 - 7/24*y**4 - 1/60*y**5 + 0*y + 0 + 0*y**3. What is j in i(j) = 0?
-7, 0
Determine q, given that 16/3 + 116/3*q**2 - 32*q - 12*q**3 = 0.
2/9, 1, 2
Find g, given that -20*g**2 + 357*g + 25*g**2 - 515 + 324*g - 61*g - 110*g = 0.
-103, 1
Let d(j) be the first derivative of -2/15*j**3 - 2 - 2/25*j**5 + 0*j - 2/5*j**4 + 6/5*j**2. Factor d(v).
-2*v*(v - 1)*(v + 2)*(v + 3)/5
Let h = 855 - 851. Let w be (h - -1) + (-860)/180. Factor 0 + 0*z + 8/9*z**2 + w*z**3.
2*z**2*(z + 4)/9
Let t = 481 - 465. Suppose 5*f = 4*c - t, 2*c = -2*f - 8 + 16. What is d in 42/5*d**3 - 6/5 + 27/5*d - 18/5*d**c + 3/5*d**5 - 48/5*d**2 = 0?
1, 2
Let d(v) be the first derivative of v**7/168 + v**6/24 - 5*v**5/12 + 2*v**3/3 - 17*v**2/2 + 32. Let n(u) be the third derivative of d(u). Factor n(q).
5*q*(q - 2)*(q + 5)
Solve 96*s**3 - 77172/7*s**2 + 3231632/7*s - 23310522/7 - 2/7*s**4 = 0 for s.
9, 109
Let g(s) be the first derivative of -s**4/20 - 7*s**3/15 + 204*s**2/5 - 4316. Factor g(h).
-h*(h - 17)*(h + 24)/5
Let n(r) be the first derivative of -2*r**3/9 - 258*r**2 - 99846*r - 1858. Factor n(y).
-2*(y + 387)**2/3
Suppose -884*p + 301*p + 918 = -248. Solve 0*x + 0 -