 c(w) be the first derivative of 1/3*w**3 - 8*w - 1/3*w**4 + 0*w**2 + 1/10*w**5 + 23. Let m(y) be the first derivative of c(y). Factor m(o).
2*o*(o - 1)**2
Let u = -684 + 732. Find q such that 166 + 151*q**2 - 130 - 3*q**3 - 142*q**2 + u*q = 0.
-2, -1, 6
Factor -46847*g**3 - 5*g**4 + 23424*g**3 + 4*g**4 + 23428*g**3.
-g**3*(g - 5)
Let f(w) be the second derivative of -11/40*w**6 - w**3 + 9/40*w**5 + 0 + 0*w**2 + 3/4*w**4 + 72*w + 3/56*w**7. Suppose f(q) = 0. Calculate q.
-1, 0, 2/3, 2
Let l be ((-6)/4)/(3/6)*-26. What is v in -86 + l*v - 126*v**2 + 124*v**2 + 10*v = 0?
1, 43
Factor 12/5*t**3 - 2/5*t**4 + 38/5*t**2 + 0 - 48/5*t.
-2*t*(t - 8)*(t - 1)*(t + 3)/5
Suppose -2*o - 8 = 0, 2*o + 1 + 1 = -3*k. Suppose 0*y**3 + 1951 - 1955 + 2*y**3 + 9*y**k - 3*y**4 = 0. What is y?
-1, 2/3, 2
Let o(l) = 4*l**3 + 24*l**2 + 96*l + 64. Let k(c) = 20*c**3 + 123*c**2 + 479*c + 319. Let j(n) = 4*k(n) - 19*o(n). Suppose j(y) = 0. What is y?
-5, -3, -1
Let z(s) be the second derivative of -7*s**6/6 + 33*s**5/2 - 90*s**4 + 225*s**3 - 405*s**2/2 - 4095*s. Determine v, given that z(v) = 0.
3/7, 3
Let u(t) be the first derivative of 2*t**5/5 + 39*t**4/4 + 172*t**3/3 - 48*t**2 + 101. Factor u(c).
c*(c + 8)*(c + 12)*(2*c - 1)
Let o(d) = 2*d**2 + 12*d + 139 - 234 + 113. Let a be o(-4). Solve -3/2*k**a + 9/4*k**3 + 0 - 3/4*k = 0.
-1/3, 0, 1
Let x = 300 + -298. Factor 29*r**3 - 4*r**2 - 4*r**3 - 16 - 4*r**4 - 48*r**x - r**3 + 48*r.
-4*(r - 2)**2*(r - 1)**2
Let v = -781 - -781. Let y = 48/43 + -538/559. Suppose y*o**3 + v*o**2 + 0 - 2/13*o = 0. Calculate o.
-1, 0, 1
Suppose -32*k + 4312 = -360. Let a = k - 146. Suppose -2/3*t**2 + a + 2/3*t**4 + 4/3*t**3 - 4/3*t = 0. What is t?
-2, -1, 0, 1
Let j(k) be the first derivative of 4*k**7/105 - 9*k**6/25 + 17*k**5/50 + k**4/5 - 6*k - 116. Let o(n) be the first derivative of j(n). What is a in o(a) = 0?
-1/4, 0, 1, 6
Let z be (-6 - 240/32)*(-8)/6. Let v be (-4)/(-12)*2*z/27. Factor -v*o**3 + 0*o + 0 - 2/9*o**4 - 2/9*o**2.
-2*o**2*(o + 1)**2/9
Let u(t) be the first derivative of 5*t**4/4 + 3935*t**3/3 + 776175*t**2/2 + 772245*t + 4581. Factor u(o).
5*(o + 1)*(o + 393)**2
Solve 24/7*x - 6/7*x**3 - 2/7*x**4 + 0 + 8/7*x**2 = 0 for x.
-3, -2, 0, 2
Let f(c) be the first derivative of 7 - 1/15*c**5 + 2/9*c**3 + 1/18*c**6 - 1/3*c + 1/6*c**2 - 1/6*c**4. Solve f(x) = 0 for x.
-1, 1
Let f(o) = 2*o**2 + 3*o - 5. Let x be f(2). Factor v**5 + v**2 + 225*v**4 + x*v**3 - 226*v**4 - 10*v**3.
v**2*(v - 1)**2*(v + 1)
Let x(f) = -16*f - 118. Let j be x(-8). Suppose -15*t = j*t - 100. Determine w, given that 0 + 2/9*w**5 + 0*w**3 + 4/9*w**t - 4/9*w**2 - 2/9*w = 0.
-1, 0, 1
Let -16/17*s**3 + 14/17*s + 0 + 2/17*s**5 + 12/17*s**4 - 12/17*s**2 = 0. What is s?
-7, -1, 0, 1
Let o = 6670/4683 - -194/669. Let t = -1/389 + 1563/2723. Factor -12/7*n**2 - 4/7 + t*n**3 + o*n.
4*(n - 1)**3/7
Let j(o) = o**2 + 66*o - 1934. Let w(m) = m**2 - 11*m + 1. Let t(d) = -j(d) + 2*w(d). Determine v so that t(v) = 0.
44
Let w(j) be the first derivative of 35*j**4/36 - 25*j**3/18 - 5*j**2/3 + 63*j + 19. Let i(f) be the first derivative of w(f). Factor i(m).
5*(m - 1)*(7*m + 2)/3
Let n(y) = 20*y**2 + 1282*y + 660. Let h(l) = -8*l**2 - 512*l - 264. Let o(d) = 12*h(d) + 5*n(d). Solve o(t) = 0.
-66, -1/2
Let q(x) be the first derivative of x**3/3 - 3*x**2 - 27*x - 2860. Factor q(a).
(a - 9)*(a + 3)
Let h(b) be the second derivative of b**5/10 + b**4/6 - b**3/3 + 29*b - 2. Let d(m) = m**3 + 2*m**2 - 2*m. Let a(g) = -2*d(g) + 3*h(g). Solve a(y) = 0.
-1, 0, 1/2
Let g(d) be the third derivative of -15*d + 0*d**3 - 1/4*d**5 + 3*d**2 + 1/70*d**7 + 0 - 3/40*d**6 - 1/4*d**4 + 1/112*d**8. Factor g(n).
3*n*(n - 2)*(n + 1)**3
Let g(k) = k**3 - 36*k**2 + 3. Let i be g(36). Factor -50*o**i - 240 - 57*o + 5*o**4 + 35*o**3 - 60*o**2 + 317*o.
5*(o - 3)*(o - 2)**2*(o + 4)
Suppose 4*k + 2*g = 58, -6*k + 4*g = -11*k + 68. Suppose 5*u + 14 = 2*u + 4*f, 3*u = -2*f + k. Factor -1/2*s**3 - 1/4*s**4 + 1/2*s + 1/4 + 0*s**u.
-(s - 1)*(s + 1)**3/4
Let j = 5459 - 5427. Let v(t) be the second derivative of 0 + 0*t**3 + 0*t**2 - j*t - 1/3*t**4. Determine q so that v(q) = 0.
0
Let x = -309 + 367. Let g be (x/(-87))/((-32)/36). Let 1/4*v**4 + 19/8*v + g + 11/4*v**2 + 11/8*v**3 = 0. Calculate v.
-2, -3/2, -1
Let d(r) be the first derivative of -3*r**4/4 - 37*r**3 - 660*r**2 - 5100*r + 1759. Factor d(n).
-3*(n + 10)**2*(n + 17)
Let m = 29 + -35. Let k be 3*m/9 - (1 - 5). Factor 0*a + 3*a**2 + 4*a + k*a**3 + 4 - 16*a**2 + 3*a**3.
(a - 2)*(a - 1)*(5*a + 2)
Let h(y) = 4*y**4 + 104*y**3 + 1528*y**2 + 9446*y + 13498. Let g(x) = -x**4 - 5*x**3 + x**2 + 2*x + 1. Let i(v) = -2*g(v) - h(v). Factor i(k).
-2*(k + 2)*(k + 15)**3
Let n(s) be the second derivative of -7/5*s**2 + 19/50*s**5 - 1 + 5/3*s**3 + 4*s - 4/75*s**6 - 11/10*s**4. What is m in n(m) = 0?
1, 7/4
Let -7 + 11/3*d**2 - 26/3*d = 0. What is d?
-7/11, 3
Suppose 476 - 20*s**4 - 16*s**4 + 552*s**2 + 32*s**3 + 431*s + 561*s + 32*s**4 = 0. What is s?
-7, -1, 17
Let z(p) = -6*p**2 - 2*p + 67. Let o be z(-9). Let b = -2806/7 - o. Determine x so that 10/7*x + 25/7 + b*x**2 = 0.
-5
Factor 32*j**2 + 202 - 206*j + 680 - 95*j - 4*j**3 + 3*j**3.
-(j - 18)*(j - 7)**2
Suppose 156*z - 160*z = -5*j + 68, 5*z + 85 = 4*j. Find a such that -44/7*a - 18/7*a**2 + 2/7*a**3 + j = 0.
-2, 0, 11
Let w(v) = 85*v**3 + 8455*v**2 + 32805*v + 24480. Let k(d) = -15*d**3 - 1492*d**2 - 5789*d - 4320. Let z(q) = 45*k(q) + 8*w(q). Find j such that z(j) = 0.
-96, -3, -1
Let g(i) be the second derivative of i**5/15 + 29*i**4/9 - 2*i**3/9 - 58*i**2/3 + 74*i - 10. Solve g(q) = 0.
-29, -1, 1
Let n(w) be the second derivative of w**6/135 - 259*w**5/9 + 557279*w**4/18 + 6718460*w**3/27 + 6728836*w**2/9 + 1783*w. What is k in n(k) = 0?
-2, 1297
Let g(h) be the second derivative of -5/168*h**7 - 33/80*h**5 + 0 - 1/6*h**3 - 5/12*h**4 + 0*h**2 + 57*h - 11/60*h**6. Suppose g(z) = 0. What is z?
-2, -1, -2/5, 0
Let b(v) be the third derivative of v**5/60 + 7*v**4/4 - 1159*v**3/6 + 1451*v**2. Let b(r) = 0. Calculate r.
-61, 19
Factor -311583 - 3138 + 4176616*p - 4177738*p - p**2.
-(p + 561)**2
Let d(w) = w**2 + 174*w + 6730. Let n be d(-116). Determine l so that l**n + l**3 - 1/2*l**4 - 1/2*l**5 - 1/2*l - 1/2 = 0.
-1, 1
Let o(x) = x**4 - 33*x**3 + 74*x**2 + 2. Let i(j) = 15*j**4 - 462*j**3 + 1038*j**2 + 29. Let a(y) = -6*i(y) + 87*o(y). Factor a(c).
-3*c**2*(c - 2)*(c + 35)
Let p be (-24)/(-27)*(7 + -1). Let d = 2/139799 + 279592/419397. Factor p*z + 0 - d*z**2.
-2*z*(z - 8)/3
Factor 70*u - 22 - 2*u**2 - 269 - 18 - 159.
-2*(u - 26)*(u - 9)
Suppose -4*o - 40 = 2*m, -31*m + 20 = -35*m - 2*o. Factor -1/4*i**4 + m*i**2 + 0 + 0*i**3 + 0*i.
-i**4/4
Let i(f) be the first derivative of 16*f + 2/3*f**3 + 285 - 9*f**2. Factor i(m).
2*(m - 8)*(m - 1)
Factor 11*v + 139 + 42*v + 47 + 105*v - 3*v**2 - 71*v.
-3*(v - 31)*(v + 2)
Suppose -7*x - 38 = -353. Determine d so that -3*d**3 + 3*d + 34 - 106 + 27*d**2 + x = 0.
-1, 1, 9
Let h(k) be the second derivative of -k**4/48 - k**3/3 - 7*k**2/8 + 195*k + 5. Factor h(t).
-(t + 1)*(t + 7)/4
Let h(m) = -2*m**2 + 133*m - 128. Let o(v) = 5*v**2 - 264*v + 252. Let r(a) = 7*h(a) + 3*o(a). Factor r(k).
(k - 1)*(k + 140)
Let m(r) be the first derivative of 1681*r**6/18 + 287*r**5 + 485*r**4/2 - 290*r**3/9 - 165*r**2/2 + 27*r - 7138. Determine q, given that m(q) = 0.
-1, 9/41
Let 995*y**2 - 79*y**4 + 26 - 221*y**3 - 66 - 330*y - 429*y**3 + 294*y**4 - 190*y**3 = 0. Calculate y.
-4/43, 1, 2
Suppose 152*q - 82 + 1074 = 648*q. Let -1/4*i**3 - 2*i + 5/4*i**q + 1 = 0. What is i?
1, 2
Let v(o) be the third derivative of -o**6/420 - 2*o**5/35 - 29*o**4/84 + 2*o**3 + 137*o**2. Determine h, given that v(h) = 0.
-7, -6, 1
Factor 4 + 55*d + 148*d - 115*d**2 - 14*d**3 + 4*d**3 - 144 + 137*d.
-5*(d - 2)*(d + 14)*(2*d - 1)
Let c(r) be the first derivative of -3/4*r**4 - 6*r**2 - 4*r**3 + 112 + 0*r. What is k in c(k) = 0?
-2, 0
Let l be (8/(-18))/(68/(-306)). What is r in -25*r**l - 5 - 11*r**2 + 2 + 0 - 24*r = 0?
-1/2, -1/6
Find f such that -153*f - 648 - 11*f**2 - 1/4*f**3 = 0.
-18, -8
Let p(i) be the third derivative of -i**6/24 - 55*i**5/12 + 245*i**4/4 - 300*i**3 - 19*i**2 + 13*i. Find h such that p(h) = 0.
-60, 2, 3
Let c(j) be the second derivative of -j**8/4480 + j**7/1680 + j**6/480 - j**5/80 +