r be (5 + (-152)/16)/(6/8). Let c be (-805)/(-70) + -1 + r. Find w, given that -15*w + c + 6*w**3 - 27/2*w**2 = 0.
-1, 1/4, 3
Let d(u) be the first derivative of -7220/3*u**4 - 123 + 1097440/9*u**3 + 158470336/3*u - 1/9*u**6 + 76/3*u**5 - 10425680/3*u**2. Factor d(h).
-2*(h - 38)**5/3
Suppose -258*w - 221*w = -161*w - 8586. Let 27*j**3 - 2/3 - w*j + 2/3*j**2 = 0. What is j?
-1, -2/81, 1
Let -22*u**4 + 3*u**3 + 6940048*u - 87*u**3 - 128*u**2 - 2*u**5 - 6940112*u = 0. Calculate u.
-4, -2, -1, 0
Let y(u) be the second derivative of 5*u**7/84 - 13*u**6/6 + 133*u**5/8 - 170*u**4/3 + 305*u**3/3 - 100*u**2 + 13*u + 6. Determine m, given that y(m) = 0.
1, 2, 20
Determine x, given that 9/4*x**2 - 119*x + 0 = 0.
0, 476/9
Let m(f) be the first derivative of 109 + 1/22*f**2 + 0*f**3 + 0*f - 1/44*f**4. Factor m(g).
-g*(g - 1)*(g + 1)/11
Let h(d) = 10*d**3 - 20*d**2 + 70*d - 50. Let q(m) = -14*m**3 + 19*m**2 - 70*m + 50. Let x(c) = -3*h(c) - 2*q(c). Factor x(t).
-2*(t - 5)**2*(t - 1)
Let l(p) be the second derivative of p**4/6 + 3386*p**3/3 + 2866249*p**2 + 6*p + 411. Find i, given that l(i) = 0.
-1693
Let a(p) be the first derivative of 1/57*p**6 + 10/19*p**5 - 1010/57*p**3 - 392/19*p + 23 + 560/19*p**2 + 115/38*p**4. Let a(t) = 0. Calculate t.
-14, 1
Suppose 5*v - 101 + 76 = 0. Suppose -25*h**3 + 499*h**5 + 8*h**4 - v*h**2 - 514*h**5 - 43*h**4 = 0. What is h?
-1, -1/3, 0
Find n such that -5043/2 + 5125/2*n + 1/6*n**3 - 247/6*n**2 = 0.
1, 123
Let v(z) be the third derivative of -z**5/120 + 139*z**4/48 + 60*z**3 - 621*z**2 + 2. Suppose v(d) = 0. What is d?
-5, 144
Let s(x) be the first derivative of -x**4/18 - 6*x**3 + 142*x**2/3 - 688*x/9 - 6087. Factor s(g).
-2*(g - 4)*(g - 1)*(g + 86)/9
Let r(w) be the first derivative of -w**4/12 + 5*w**3/6 - 2*w**2 + 63*w + 32. Let y(h) be the first derivative of r(h). Factor y(p).
-(p - 4)*(p - 1)
Let v(q) = 217*q + 54469. Let k be v(-251). Factor 1/2*a**k - 11/2*a + 9.
(a - 9)*(a - 2)/2
Let a(u) be the second derivative of u**4/60 + 11*u**3/6 + 873*u. Factor a(l).
l*(l + 55)/5
Let o be (-14541)/(-57) - (40/19 - 2). What is k in 320*k + o - k**5 - 17*k**4 - 148*k**3 + 4*k**2 + 0*k**5 + 1 + 72*k**3 = 0?
-8, -2, -1, 2
Factor -19*b**2 - 28*b + 1/4*b**4 + 48 - 5/4*b**3.
(b - 12)*(b - 1)*(b + 4)**2/4
Let p(z) be the third derivative of -z**5/330 + 37*z**4/132 - 24*z**2 - 73*z. Let p(i) = 0. Calculate i.
0, 37
Suppose -14*q + 77 - 7 = 0. Let g be (-40)/(-15) - 1 - -4 - q. Suppose -g*j + 10/21*j**2 + 2/7 - 2/21*j**3 = 0. Calculate j.
1, 3
Let k = 500340 + -500337. Solve -44/3*y + 20/3 - 4/3*y**k + 28/3*y**2 = 0.
1, 5
Suppose -3*f - y = -2*f + 9, -5*f - 3*y = 43. Let w be (-101)/(-202) - (-2)/f. Factor w*q**5 + 1/2*q - 1/4*q**2 - 3/4*q**3 + 1/4*q**4 + 0.
q*(q - 1)**2*(q + 1)*(q + 2)/4
Factor -295/3*b - 586/3 - 1/3*b**2.
-(b + 2)*(b + 293)/3
Let c = 568 + -564. Let -1760 + 1760 - 45*x + 95*x**3 + 11*x**4 + 40*x**2 - x**c = 0. What is x?
-9, -1, 0, 1/2
Let b be (-12)/27 - 1120/72. Let l = b + 46. Determine c, given that -7*c**4 - 43*c**4 - 60*c**3 - l*c**2 - 15*c**5 - 5*c + 0*c**3 = 0.
-1, -1/3, 0
Suppose 16/5*b**4 + 3/5*b**5 + 2 - 26/5*b**2 + 0*b**3 - 3/5*b = 0. What is b?
-5, -1, 2/3, 1
Let x be (9/51 + 0)*(-1632)/(-612). Factor -16/17*q + x - 2/17*q**3 + 10/17*q**2.
-2*(q - 2)**2*(q - 1)/17
Suppose 41*s - 40*s + 8 = 0. Let u be (-6)/(s/(-4)) - -365. Solve -u*a**2 + 359*a**2 - 19*a**3 - 9*a**4 + 27*a**5 + 4*a**3 = 0.
-1/3, 0, 1
Suppose -4*c + 313 = -5*q, 0 = 4*c - 7*c + q + 232. Solve 89*g - c*g + 36*g**3 - 48*g - 4*g**4 - 28*g**2 + 32 = 0 for g.
-1, 1, 8
Factor 3/5*g**4 + 0 - 558/5*g**3 - 50784/5*g + 26496/5*g**2.
3*g*(g - 92)**2*(g - 2)/5
Let u(y) be the third derivative of -1/240*y**6 - 254*y**2 + 0*y**3 - 3/8*y**4 + 19/120*y**5 + 0*y + 0. Find p, given that u(p) = 0.
0, 1, 18
Suppose -4*p + 5*j - 10 = -30, -4*p = j + 4. Let b = 9255 - 9252. Determine s so that 1/8*s**4 + 3/8*s**b + p - 3/8*s - 1/8*s**2 = 0.
-3, -1, 0, 1
Let l(u) be the second derivative of u**5/35 - 563*u**4/21 - 2258*u**3/21 - 1130*u**2/7 - 2147*u. Factor l(s).
4*(s - 565)*(s + 1)**2/7
Factor 44 + 40*r**3 - 142*r - 60*r**2 - 43*r**3 + 145*r + 16.
-3*(r - 1)*(r + 1)*(r + 20)
Let d(x) be the first derivative of 4*x**5/5 - 29*x**4/4 + 25*x**3/3 - 170. Determine j, given that d(j) = 0.
0, 1, 25/4
Find i, given that -3*i**4 + 0 - 3/4*i**3 + 3/4*i**5 + 0*i + 3*i**2 = 0.
-1, 0, 1, 4
Find l such that 153 - 3/7*l**2 - 12/7*l = 0.
-21, 17
Let k(d) be the first derivative of -26*d**3/15 - 15*d**2 - 20*d - 2634. Factor k(u).
-2*(u + 5)*(13*u + 10)/5
Let b(u) be the second derivative of -u**8/504 - 2*u**7/315 - u**6/180 - 139*u**2/2 + 3*u - 19. Let s(z) be the first derivative of b(z). Factor s(g).
-2*g**3*(g + 1)**2/3
Let l(q) = q**3 - 25*q**2 + 50*q - 88. Let g be l(23). Factor 37*j**3 - 12*j - 51*j**3 - 6*j**2 - 8*j**g + 12*j.
-2*j**2*(j + 1)*(4*j + 3)
Let l(y) be the second derivative of -y**7/84 + y**6/6 - 21*y**5/40 - 3*y**4/2 + 9*y**3 - 2825*y. Find j such that l(j) = 0.
-2, 0, 3, 6
Suppose -142 = -3*h - 43. Factor h*y**2 - 5*y**3 + 70 - 12 + 22 - 120*y + 12*y**2.
-5*(y - 4)**2*(y - 1)
Let o(s) be the second derivative of -1/6*s**6 + 3 + 0*s**2 + 37*s - 5/6*s**4 + 0*s**3 - 3/4*s**5. Factor o(x).
-5*x**2*(x + 1)*(x + 2)
Let q(c) = -3*c**2 - c - 8. Let p(f) = -2*f**2 - 126*f - 8. Let r(n) = -2*p(n) + 2*q(n). Suppose r(u) = 0. What is u?
0, 125
Let c = -157630 - -157633. Let 0*x + 0 + 1/8*x**c - 1/4*x**2 = 0. Calculate x.
0, 2
Suppose 0 = -23*b - 4*b + 21735. Let s = b - 803. Factor -5/6*p**s - 5/6*p + 0.
-5*p*(p + 1)/6
Let b(u) be the first derivative of 15/4*u**4 + 3*u**3 + 6/5*u**5 - 3*u - 3/2*u**2 - 20. Find h, given that b(h) = 0.
-1, 1/2
Let q(g) be the second derivative of -145*g**4/48 + 15*g**3/4 - 2*g + 861. Determine a, given that q(a) = 0.
0, 18/29
What is v in -187*v + 2 + 1200*v - 2032*v**2 + 818*v**3 + 199*v**3 = 0?
-2/1017, 1
Let l(m) = -6*m**3 + 2694*m**2 - 8920*m + 5960. Let t(h) = h**3 - 542*h**2 + 1784*h - 1192. Let p(r) = -3*l(r) - 16*t(r). Factor p(d).
2*(d - 2)*(d - 1)*(d + 298)
Let u = -50192/5 + 10541. Let r = -502 + u. Factor r*f**3 - 12/5*f**2 + 0 + 9/5*f.
3*f*(f - 3)*(f - 1)/5
Let q(k) be the second derivative of -1/15*k**6 - 3/5*k**5 + 0 - 19*k + 1/21*k**7 + 0*k**2 + 0*k**3 + 0*k**4. Determine d, given that q(d) = 0.
-2, 0, 3
Let c = -5583 + 27917/5. Let p(z) be the first derivative of 2/5*z**2 + c*z**4 + 14/15*z**3 - 2/5*z - 8. Solve p(w) = 0.
-1, 1/4
Let -240*q**2 - 12333 + 16352*q - 380*q**2 - 16*q**4 + 573 - 356*q**3 = 0. What is q?
-14, 3/4, 5
Let r(q) be the second derivative of 7*q**4/32 + 5087*q**3/16 - 2181*q**2/8 - 12327*q. Solve r(d) = 0 for d.
-727, 2/7
Let d(t) be the third derivative of 0*t + 0 + 1/10*t**5 + 7/6*t**3 - 8*t**2 + 0*t**4 - 1/180*t**6. Let p(f) be the first derivative of d(f). Factor p(r).
-2*r*(r - 6)
Let h(w) be the third derivative of -88*w**2 - 1/96*w**6 + 0 + 5/96*w**4 - 1/840*w**7 + 0*w + 1/6*w**3 - 1/80*w**5. Factor h(p).
-(p - 1)*(p + 1)**2*(p + 4)/4
Let n = -4990 - -399203/80. Let k(z) be the second derivative of n*z**5 - 19*z + 1/48*z**4 - 1/4*z**2 + 0 - 1/8*z**3 + 1/120*z**6. Factor k(x).
(x - 1)*(x + 1)**2*(x + 2)/4
Let f(l) be the second derivative of 31*l + 0 - 15/2*l**3 - 1/4*l**5 + 5/2*l**4 + 10*l**2. Suppose f(v) = 0. What is v?
1, 4
Suppose 4*h - 10 = -x, 5*x - 2*h = 4*x - 2. Solve -3*i**4 + 51 - 97 + 24*i + 18*i**x + 55 = 0.
-1, 3
Let m(c) = -15*c**2 - 1390*c - 917. Let h be m(-92). Factor 0 - 2/11*x**5 + 0*x**2 + 0*x**h + 0*x + 4/11*x**4.
-2*x**4*(x - 2)/11
Suppose 92/3 + 758/3*g**2 + 14/3*g**4 - 170*g - 118*g**3 = 0. What is g?
2/7, 1, 23
Let k be (2*49)/((-113)/(-14) - 8). Factor 20*z**4 - 1357*z**3 + k*z**3 + 3 + 2 - 25*z**2 - 15*z.
5*(z - 1)*(z + 1)**2*(4*z - 1)
Let p = -14 + 17. Suppose -p*m - 5*g + 25 = -0*g, 2*g - 10 = m. Factor 0*s + 39*s**3 + m*s - 38*s**3.
s**3
Let z(q) be the first derivative of q**6/60 + q**5/5 + 2*q**4/3 + 3*q**2/2 - 2*q + 10. Let y(l) be the second derivative of z(l). Suppose y(a) = 0. Calculate a.
-4, -2, 0
Let b be (100 + -99)*(-4)/(-6). Factor 0 - 1/3*k**3 - b*k**2 - 1/3*k.
-k*(k + 1)**2/3
What is k in -668261 - 38951 - 2524*k - 89110 - 2*k**2 = 0?
-631
Let m(s) be the third derivative of -1/105*s**7 + 9/4*s**4 - 3 - 16*s**2 + 0*s + 3/20*s**6 - 9/10*s