t derivative of w**3/5 - 3006*w**2/5 + 3012012*w/5 - 824. Factor i(h).
3*(h - 1002)**2/5
Let h(w) be the third derivative of -43*w**2 + 1/1020*w**6 - 1/204*w**4 + 0*w + 2/255*w**5 + 0 - 4/51*w**3. Suppose h(l) = 0. What is l?
-4, -1, 1
Suppose -125 = -l + 4*m - 47, 390 = 5*l + m. Suppose 68*z - 81*z + l = 0. Factor -3/8*j**4 + 9/4*j**3 - 3/8*j**2 - z - 9*j.
-3*(j - 4)**2*(j + 1)**2/8
Let h(m) be the first derivative of -m**3/2 - 66*m**2 - 261*m/2 + 2700. Factor h(i).
-3*(i + 1)*(i + 87)/2
Suppose -7680/13*c**2 - 2562/13 - 7684/13*c + 2/13*c**4 - 2556/13*c**3 = 0. Calculate c.
-1, 1281
Let f(k) be the second derivative of 11*k**6/120 - 3*k**5/40 - k**4 - 2*k**3/3 + 9*k**2/2 - 52*k + 1. Let l(q) be the second derivative of f(q). Factor l(p).
3*(p - 1)*(11*p + 8)
Let f(n) be the third derivative of -n**5/120 + 23*n**4/16 + 117*n**3/2 + n**2 - 14*n + 1. Factor f(w).
-(w - 78)*(w + 9)/2
Let x be (15/(-5) - -10) + -5. Let 15*d**3 + 14*d**3 - 30*d**3 - 6*d**2 - x*d**2 = 0. What is d?
-8, 0
Let i(q) be the first derivative of -822*q**5/25 + 413*q**4/10 - 4*q**3/15 + 1034. Factor i(n).
-2*n**2*(n - 1)*(411*n - 2)/5
Factor 0 - 1/8*h**5 + 0*h + 5/8*h**4 + 0*h**2 - 1/2*h**3.
-h**3*(h - 4)*(h - 1)/8
Let f(v) be the first derivative of v**3/12 + 107*v**2/2 + 11449*v - 798. Suppose f(s) = 0. What is s?
-214
Let f(a) be the third derivative of -a**7/2310 + 169*a**6/1320 + a**5/220 - 505*a**4/264 - 169*a**3/33 + 5*a**2 - 1397. Determine v, given that f(v) = 0.
-1, 2, 169
Factor -1/7*v**3 + 15/7*v**2 + 0 + 54/7*v.
-v*(v - 18)*(v + 3)/7
Factor -16214*w**2 - 280 - 190*w + 16210*w**2 - 94*w.
-4*(w + 1)*(w + 70)
Let m = 136 + -122. Suppose -x + 3*y + m = 0, -3*x - 3*y + 2 = -2*y. Find h such that 34*h + 11*h**3 - 7*h**3 - 90*h + 6*h**2 + 14*h**x = 0.
-7, 0, 2
Let c(y) be the first derivative of -3*y**5/35 + y**3 + 9*y**2/7 + 92. Factor c(o).
-3*o*(o - 3)*(o + 1)*(o + 2)/7
Let h(n) be the second derivative of -1/3*n**6 + 0 + 5/42*n**7 - 65*n + 0*n**3 - 1/4*n**5 + 0*n**2 + 5/6*n**4. Factor h(o).
5*o**2*(o - 2)*(o - 1)*(o + 1)
Let u(s) be the third derivative of 0*s**3 + 0*s**4 + 2/7*s**7 - 1/84*s**8 - 170*s**2 + 0 + 0*s + 13/15*s**5 - 9/10*s**6. Factor u(q).
-4*q**2*(q - 13)*(q - 1)**2
Suppose 22 = 5*y + m + m, 5*y - 3*m - 17 = 0. Let w be (-3)/(-7) - 7548/(-4144). Let 3/2*s**y + 3*s - 6*s**2 + 0 - 3/4*s**5 + w*s**3 = 0. What is s?
-2, 0, 1, 2
Let y = 31625/29862 + -65/54. Let f = -1/553 - y. Solve f*w**2 + 3/7 - 4/7*w = 0.
1, 3
Suppose -4*j + 4*f = -40, j - 4*j - 3*f = 0. Suppose b + 2*n - 18 = 0, 112 = -b + j*b - 2*n. Factor -4 - 18*r**2 + 43*r**2 + 5*r - b*r**2.
-(r - 4)*(r - 1)
Let q be ((-6)/9)/(30/(-36)). Let m = -3/26 + 41/130. Suppose q - m*b**2 + 0*b = 0. Calculate b.
-2, 2
Let b(i) be the first derivative of -13*i**3 - 516*i**2 - 468*i - 6589. Factor b(v).
-3*(v + 26)*(13*v + 6)
Let r = 2026 - 16175/8. Let t be ((-2)/((-80)/8))/((-2)/(-135)). Suppose -105/4*l**3 - r*l**2 + t + 75/8*l**4 + 63/2*l = 0. What is l?
-3/5, 2
Let u = -353959/55 - -70794/11. Find w, given that -7/5*w - u*w**2 - 12/5 = 0.
-4, -3
Suppose 2*w + 18 = -3*o, -2*w - 91 + 75 = 4*o. Factor -28/5*q + 4 + 8/5*q**o.
4*(q - 1)*(2*q - 5)/5
Let g(v) be the third derivative of 0*v + 11/12*v**4 + 13/15*v**5 + 1/84*v**8 + 0 + 110*v**2 + 1/2*v**3 + 9/20*v**6 + 5/42*v**7. Determine a so that g(a) = 0.
-3, -1, -1/4
Suppose -2*w + 327 = m - 3*w, -4*m + 1320 = -w. Factor 5*s - m + 341 - 8*s**2 + 3*s**2.
-5*(s - 2)*(s + 1)
Let o(w) be the first derivative of 0*w - 1/4*w**5 + 1/4*w**2 - 3/4*w**3 + 305 + 3/4*w**4. Factor o(h).
-h*(h - 1)**2*(5*h - 2)/4
Let y(w) = 7*w**4 + 70*w**3 + 297*w**2 + 356*w - 2. Let b(d) = 15*d**4 + 140*d**3 + 600*d**2 + 710*d - 5. Let l(z) = 2*b(z) - 5*y(z). Let l(u) = 0. Calculate u.
-8, -3, 0
Let a = 29656 + -87859/3. Let n = a - 369. Factor -25/6*w**3 - n*w + 0 - 10/3*w**2.
-w*(5*w + 2)**2/6
Let p be (320/1120 + 1206/(-5103))/((-1)/(-9)). Find z, given that 224/9*z - 3136/9 - p*z**2 = 0.
28
What is t in -20*t**2 - 1555*t - 40*t**2 - 1387*t - 4*t**3 + 3158*t = 0?
-18, 0, 3
Suppose -336*k + 1009*k = 317*k - 48*k. Find v such that -10/11*v**4 + 28/11*v**3 - 2/11*v**5 + 0*v + 0 + k*v**2 = 0.
-7, 0, 2
Let w(r) be the first derivative of 67 - 96/25*r**5 + 0*r - 104/15*r**3 - 3/5*r**6 - 79/10*r**4 - 12/5*r**2. Solve w(h) = 0 for h.
-3, -1, -2/3, 0
Let v(a) be the third derivative of a**5/15 - 28*a**4/3 + 170*a**3 + 2139*a**2. Factor v(b).
4*(b - 51)*(b - 5)
Let l(w) = 34*w - 302. Let i be l(9). Suppose -16*x + 12*x**2 - 117*x**4 + 6 - 132*x**i + 247*x**4 = 0. What is x?
-3, 1
Factor 56/3*m**3 - 320000/9 - 2/9*m**4 - 1928/9*m**2 - 22400/3*m.
-2*(m - 50)**2*(m + 8)**2/9
Suppose 1548 = -4*r - 4*m + 1652, 4*r + 5*m - 111 = 0. Let o(j) be the first derivative of 0*j - 1/2*j**4 + 4/3*j**3 - j**2 + r. Let o(d) = 0. Calculate d.
0, 1
Factor -273*x + 2*x**2 + 6*x**2 + 590 - 13*x**2 + 18*x - 30*x.
-5*(x - 2)*(x + 59)
Let q(u) be the first derivative of u**5/30 - 7*u**4/18 + 4*u**3/3 - 35*u - 33. Let x(z) be the first derivative of q(z). Factor x(m).
2*m*(m - 4)*(m - 3)/3
Let h = 109327/382620 - 1/54660. Find t such that -24/7*t - 26/7*t**2 - 8/7 - h*t**4 - 12/7*t**3 = 0.
-2, -1
Let -134/15*c + 2/15*c**2 + 0 = 0. What is c?
0, 67
Let l = 904 + -913. Let s be 8/(-66)*54/l. Determine o so that 0 + s*o**3 + 0*o + 8/11*o**2 + 10/11*o**5 - 26/11*o**4 = 0.
-2/5, 0, 1, 2
Determine n, given that 130/9 + 128/9*n - 2/9*n**2 = 0.
-1, 65
Let a(r) be the second derivative of 4 - 1/90*r**5 + 0*r**2 - 11*r + 0*r**3 + 5/18*r**4. Let a(j) = 0. What is j?
0, 15
Let p(q) = -q**4 + 11*q + 1. Let t(w) = -22*w**4 - 188*w**3 - 30*w**2 + 16*w - 32. Let n(b) = -8*p(b) - t(b). Solve n(f) = 0.
-6, -1, 1/3, 2/5
Let a = -66962 + 870508/13. Factor 0 - 50/13*z**4 - 22/13*z**2 + 70/13*z**3 + a*z.
-2*z*(z - 1)*(5*z - 1)**2/13
Let q = 3574/3 + -17867/15. Let q*g**2 + 0 - 1/5*g = 0. What is g?
0, 1
Suppose -3*r - 5*n = -77, 2*r - 13*n + 16*n - 50 = 0. Factor 4*v**2 - 132*v - r*v**3 + 252 - 20*v**3 - 17*v**3 + 60*v**3 + 0*v**2.
4*(v - 3)**2*(v + 7)
Let c be (0 - (-66)/(-55))/((-90)/50). Factor -2*d**2 + 8/3*d - 4/3*d**3 + c*d**4 + 8/3.
2*(d - 2)**2*(d + 1)**2/3
Let a(s) be the third derivative of s**8/504 - s**7/15 + 41*s**6/45 - 296*s**5/45 + 80*s**4/3 - 512*s**3/9 - 9*s**2 - 115. Factor a(h).
2*(h - 8)*(h - 4)**3*(h - 1)/3
Factor -102/11*t**2 - 98/11 - 2/11*t**3 - 18*t.
-2*(t + 1)**2*(t + 49)/11
Factor 578/7*l - 58/7*l**2 - 2/7*l**3 - 74.
-2*(l - 7)*(l - 1)*(l + 37)/7
Factor -49 - 1/9*n**4 - 22*n**2 + 616/9*n + 8/3*n**3.
-(n - 9)*(n - 7)**2*(n - 1)/9
Determine i so that -10 - 2/21*i**5 - 860/21*i**2 - 706/21*i - 82/21*i**4 - 148/7*i**3 = 0.
-35, -3, -1
Let i(h) = -h**3 - 30*h**2. Let o(f) = 29*f - 54. Let w be o(2). Let v(u) = u**3. Let x(b) = w*v(b) - i(b). Find c such that x(c) = 0.
-6, 0
Suppose -111*b + 10 = -109*b. Suppose -b*o = 5*f - 25, -2 + 0 = -4*o + 5*f. Solve -r**2 - 1/4*r**4 + 0 + r**o + 0*r = 0.
0, 2
Let m(s) be the second derivative of 31/20*s**4 - 3/50*s**5 + 2 - 96/5*s**2 - 56/5*s**3 - s. Factor m(g).
-3*(g - 8)**2*(2*g + 1)/5
Let l = 745 - 765. Let u(x) = -20*x - 397. Let f be u(l). Suppose -32/5*v**f + 0 - 4/5*v - 14/5*v**4 - 22/5*v**2 = 0. Calculate v.
-1, -2/7, 0
Let o(z) be the third derivative of 1/60*z**6 + 0 - 1/105*z**7 - 1/90*z**5 + 45*z**2 + 0*z + 0*z**4 + 1/504*z**8 + 0*z**3. Factor o(f).
2*f**2*(f - 1)**3/3
Let w(s) = 7*s - 171. Let x be w(25). Let k(d) be the second derivative of 0 + 1/4*d**3 - 16*d + 1/8*d**2 + 3/16*d**x. Factor k(o).
(3*o + 1)**2/4
Let s(h) = -h**3 - 5*h**2 - 6*h - 4. Let c be s(-4). Let f = 629982 + -629982. Solve 0*v**3 - 1/2*v**5 + f - v**c + 1/2*v + v**2 = 0 for v.
-1, 0, 1
Let k(h) be the first derivative of -h**5/20 + 125*h**4/4 - 13861*h**3/2 + 1143449*h**2/2 + 4657463*h/4 - 4688. Factor k(m).
-(m - 167)**3*(m + 1)/4
Let a(r) be the first derivative of -r**4/54 + 2*r**3/9 + 7*r**2/9 + 92*r - 33. Let b(c) be the first derivative of a(c). Factor b(y).
-2*(y - 7)*(y + 1)/9
Let f(c) = 17*c + 9 - 4 + 6*c**2 - 29*c - 10*c**2. Let p(q) = -4*q**2 - 12*q + 6. Let w(a) = -6*f(a) + 5*p(a). Factor w(t).
4*t*(t + 3)
Let s(d) be the first derivative of d**4/8 - 11*d**3/3 - 73. Factor s(w).
w**2*(w - 22)/2
Factor 4/5*y**2 + 1397124/5 - 4728/5*y.
4*(y - 591)**2/5
Suppose 2*p - 11 = 3*