= 6053/10 + g. Factor p - 1/10*y**2 + 1/5*y.
-(y - 3)*(y + 1)/10
Let x(h) be the third derivative of -1 + 0*h + 0*h**3 - 14/15*h**5 - 49/36*h**4 + 4/105*h**7 - 1/504*h**8 - 11/90*h**6 - 56*h**2. Let x(f) = 0. Calculate f.
-1, 0, 7
Let p be (-3)/(-90) - (-37)/(-1110). Let k(d) be the first derivative of 2/3*d**3 + 1 - 5/16*d**4 + 1/20*d**5 + p*d - 1/2*d**2. Factor k(b).
b*(b - 2)**2*(b - 1)/4
Let o(c) be the third derivative of -20*c**7/63 + 479*c**6/9 + 2391*c**5/10 + 1004*c**4/9 + 196*c**3/9 + 97*c**2 + 2*c + 2. Let o(x) = 0. What is x?
-2, -1/10, 98
Let a be (-8)/(12/(-9)*15/10). Suppose -3*q - 2 = -4*q - 5*v, -a*q - 2*v + 8 = 0. Suppose 4*m**2 - 3*m**2 + 3 - 4*m**q = 0. What is m?
-1, 1
Find k, given that 179/5*k**4 + 279104/5*k**2 + 1/5*k**5 + 11256/5*k**3 + 1931776/5*k + 0 = 0.
-56, -11, 0
Let b be (-17793)/810 + 2 + 20. Let u(h) be the first derivative of -4*h - 11/3*h**2 - b*h**5 - 3/8*h**4 + 10 - 5/3*h**3. Factor u(q).
-(q + 2)**3*(q + 3)/6
Let q(w) be the third derivative of w**5/210 + 83*w**4/84 + 130*w**3/7 - 9*w**2 - 3*w. Factor q(s).
2*(s + 5)*(s + 78)/7
Let a be (-73 - -73)/(36/(-9) - -13). Let q = -4353/13 + 335. Factor 4/13*n + q*n**4 + 0 + a*n**3 - 6/13*n**2.
2*n*(n - 1)**2*(n + 2)/13
Suppose -1152*u + 4213 - 13513 = -1276*u. Suppose 135/2*w**2 + 3/2*w**4 + 18*w**3 + 0 + u*w = 0. What is w?
-5, -2, 0
Let u(n) be the third derivative of 0*n**3 - 3/245*n**7 + 1/35*n**6 - 9/56*n**4 + 165*n**2 + 0 + 0*n + 1/784*n**8 + 3/70*n**5. Solve u(v) = 0.
-1, 0, 1, 3
Let k be 3 - -5 - 2 - (23 - -3 - 22). Factor 5/3*l + 4/3*l**k + 1/3.
(l + 1)*(4*l + 1)/3
Suppose 2010*p - 3*p**2 - 12624605 - 6684*p - 10837*p - 379*p - 2*p**2 = 0. Calculate p.
-1589
Let h(j) be the first derivative of -j**5/15 - 23*j**4/12 + 8*j**3/3 - 3409. Let h(g) = 0. Calculate g.
-24, 0, 1
Let -1529/3*x**3 - 64 - 2164/3*x + 121/3*x**4 - 6376/3*x**2 = 0. Calculate x.
-3, -2/11, 16
Let j = -384281 - -384284. Factor -2*m - 2/3*m**j - 10/3*m**2 + 6.
-2*(m - 1)*(m + 3)**2/3
Let i = -2774 - -499321/180. Let z(k) be the third derivative of 4/9*k**3 + 0 - 3*k**2 + 1/18*k**5 + 0*k - i*k**6 - 2/9*k**4. Factor z(p).
-2*(p - 2)**2*(p - 1)/3
Let s(w) be the first derivative of 125*w**6/18 + 2255*w**5/3 + 2235*w**4/2 + 5348*w**3/9 + 356*w**2/3 + 548. Factor s(j).
j*(j + 89)*(5*j + 2)**3/3
Suppose -3*i + 24 = 3*z + 6, -4*i - 5*z + 28 = 0. Suppose -12 = -4*u, 2*u = i*s - 3*u - 1. Factor 8*r + 56*r**3 + 52*r**2 + 47/2*r**4 + 7/2*r**5 - s.
(r + 1)*(r + 2)**3*(7*r - 2)/2
Let b = -2589 - -1590. Let y = b - -1003. Let -24 - y*f - 1/6*f**2 = 0. What is f?
-12
Let s(i) = 34825*i + 139300. Let q be s(-4). Determine w, given that w**4 + 1/2*w**5 + q + 1/2*w**3 + 0*w + 0*w**2 = 0.
-1, 0
Let p(n) be the first derivative of 17*n**3/3 - 3*n**2/2 - 9. Let d be p(1). Solve 84*s**2 + 48 - 136*s + 16*s**3 - 12*s**3 + d*s**3 = 0 for s.
-6, 2/3
Let l(i) be the first derivative of 204 - 6*i + 2/9*i**3 - 8/3*i**2. Factor l(y).
2*(y - 9)*(y + 1)/3
Let n be (45/(-4590))/(2/1107). Let k = -88/17 - n. What is g in -1/4*g**3 - 1/2*g**2 - k*g + 0 = 0?
-1, 0
Let w = -76 - -80. Factor 5*l**w + 28*l**2 + 0*l**4 - 8*l**2 + 0*l**4 - 20*l**3.
5*l**2*(l - 2)**2
Suppose 0 = -4787*z + 4624*z - 70 + 396. Factor -18/5*y + 2/15*y**z + 52/15.
2*(y - 26)*(y - 1)/15
Let g = 42986 + -42984. Solve -3/5 + 3/5*n**g + 0*n = 0 for n.
-1, 1
Let i = 541 - 119. Suppose i*n = 423*n - 2. Solve 0 + 1/4*v**3 + v**n + v = 0.
-2, 0
Let u be (-492)/(-32) - 6 - 9. Let y(x) be the second derivative of 7/8*x**3 - 3/4*x**2 + 0 - 2*x - 1/10*x**6 + u*x**4 - 21/80*x**5. Let y(k) = 0. Calculate k.
-2, -1, 1/4, 1
Let l(z) be the third derivative of -z**6/120 - 3*z**5/10 - z**4/24 - 8*z**3/3 - 15*z**2 - 4. Let h be l(-18). Factor -2/11 + 52/11*f - 338/11*f**h.
-2*(13*f - 1)**2/11
Let l(o) = o**2 + 3*o. Let b(w) = -2*w**2 + 349*w - 660. Let r(x) = b(x) - 3*l(x). Factor r(s).
-5*(s - 66)*(s - 2)
Let c = -17421 - -17425. Factor -12/13*t**2 + 10/13*t**3 + 2/13*t**c + 0*t + 0.
2*t**2*(t - 1)*(t + 6)/13
Let x be 630/(-150) - (-9)/5 - -4. Find v, given that -2/5*v**4 + x*v**3 + 4/5*v + 0 - 2*v**2 = 0.
0, 1, 2
Let r(p) be the first derivative of 170*p**2 + 590/3*p**3 - 118 + 135/2*p**6 - 126*p**5 + 40*p - 745/4*p**4. Suppose r(a) = 0. What is a?
-1, -2/9, 1, 2
Suppose p + 7*p - 32 = 0. Solve 15*q**2 + 77*q**3 - p*q**4 - 2*q + 3*q**5 - 4*q - 86*q**3 + q**4 = 0 for q.
-2, 0, 1
Solve 2080/3*o + 1/3*o**5 + 4/3*o**4 - 98/3*o**2 - 83/3*o**3 - 3200/3 = 0 for o.
-8, 2, 5
Let k(y) be the second derivative of 9*y**6/10 - 1797*y**5/4 + 332001*y**4/4 - 12234753*y**3/2 - 4102893*y**2 + 2*y + 3575. Find u such that k(u) = 0.
-2/9, 111
Suppose -9*o + d = -7*o - 57, -5*d + 45 = o. Let u be 210/o - 4/1. Factor 0*x**2 - 2/3*x - 1/3 + 1/3*x**4 + 2/3*x**u.
(x - 1)*(x + 1)**3/3
Suppose 60 = -6271*x + 6286*x. Let n(y) be the second derivative of 0 + y**3 - 1/4*y**x - 14*y + 0*y**2. Factor n(b).
-3*b*(b - 2)
Let b be (9 - (-8659)/(-42))*(-1 + -1). Let y = -393 + b. Factor y*n**2 + 0 + 2/3*n + 2/3*n**3.
2*n*(n + 1)**2/3
Let x be -2 - (2 + (-4)/2 - 2). Find o such that o**2 + x*o**3 + 11*o**2 + 178*o - 3*o**3 - 187*o = 0.
0, 1, 3
Let v be (6/(-56) - 0)/((333/(-21))/3 - -5). Find k such that -9/4*k - v - 15/8*k**2 = 0.
-1, -1/5
Let a(w) be the first derivative of -w**5/105 - 11*w**4/42 + 8*w**3/7 - 3*w**2/2 + 5*w + 64. Let r(l) be the second derivative of a(l). Factor r(s).
-4*(s - 1)*(s + 12)/7
Let r(l) be the first derivative of 0*l**2 - 1/5*l**5 + 0*l - 87 + 1/2*l**4 - 1/6*l**6 + 0*l**3. Factor r(f).
-f**3*(f - 1)*(f + 2)
Let -1290*p - 10 - 3*p**3 + 10 + 1272*p - 15*p**2 = 0. Calculate p.
-3, -2, 0
Factor -270/7*o + 272/7 - 2/7*o**2.
-2*(o - 1)*(o + 136)/7
Let h(q) be the first derivative of 5*q**3/21 + 607*q**2/14 + 242*q/7 - 351. Let h(d) = 0. What is d?
-121, -2/5
Let k = 514 + -513. Let t(c) = 2*c**2 + 3*c - 3. Let s be t(k). Let 6/7 + 4/7*g - 2/7*g**s = 0. Calculate g.
-1, 3
Let m(k) be the second derivative of -7 + 8*k - 35/6*k**4 + 35*k**2 + 5/6*k**3 - 1/4*k**5. Factor m(w).
-5*(w - 1)*(w + 1)*(w + 14)
Let h(i) = -7*i**3 + 91*i**2 - 168*i - 4. Let w(a) = 72*a**3 - 909*a**2 + 1677*a + 42. Let d(x) = -21*h(x) - 2*w(x). Factor d(c).
3*c*(c - 29)*(c - 2)
Let c(i) be the first derivative of -2/3*i**6 - 20/3*i**3 + 3*i**4 + 4/5*i**5 + 0*i + 44 + 4*i**2. Let c(k) = 0. Calculate k.
-2, 0, 1
Suppose -6*u = -5*u + 3*j + 11, 4*u + 3*j = 1. Let v be 32/u - (-35)/((-7)/1). Factor 2/3*m**v + 8*m + 4*m**2 + 16/3.
2*(m + 2)**3/3
Let i(u) be the second derivative of -3*u**5/40 + 81*u**4/8 - 37*u. Factor i(z).
-3*z**2*(z - 81)/2
Let v = -4397 - -4404. Let b(w) be the second derivative of 1/147*w**v + 6/35*w**5 - 2/35*w**6 + 0 - 5/21*w**4 - 6*w + 0*w**2 + 1/7*w**3. Solve b(j) = 0 for j.
0, 1, 3
Let o be (-70482)/(-42) + 2 + 8/(-56). Let p be o/700 + (-2)/5. Factor 1/3*l**p + 4/3 + 4/3*l.
(l + 2)**2/3
Let o(k) = -9*k**4 - 210*k**3 - 587*k**2 - 381*k. Let f(a) = 5*a**4 + 106*a**3 + 295*a**2 + 191*a. Let r(h) = -10*f(h) - 6*o(h). Factor r(w).
4*w*(w + 1)*(w + 2)*(w + 47)
Let u(t) be the first derivative of t**5/15 + 10*t**4/3 - 14*t**3 - 77*t**2/2 + 100. Let n(d) be the second derivative of u(d). Find h such that n(h) = 0.
-21, 1
Find l such that -33*l - 23*l**5 + 1404*l**4 + 12*l**3 + 42*l**2 + 29*l**5 + 15*l**5 + 6 - 1452*l**4 = 0.
-1, 2/7, 1
Let a(b) be the third derivative of -b**7/105 + b**6/20 + 23*b**5/30 + 11*b**4/4 + 14*b**3/3 - 6*b**2 - 14*b. Let a(z) = 0. What is z?
-2, -1, 7
Suppose 0*i + 0 - 14*i**3 - 1/2*i**4 - 48*i**2 = 0. Calculate i.
-24, -4, 0
Let c(i) = 80*i**3 + 10725*i**2 - 528165*i + 517540. Let h(s) = 7*s**3 + 975*s**2 - 48015*s + 47049. Let p(a) = -4*c(a) + 45*h(a). Factor p(t).
-5*(t - 97)**2*(t - 1)
Let z be 2 + (-6)/(-6 - 0). Factor 6 + 2 + 19*b**3 + 4*b**4 - 12*b**2 - 36*b**3 + 21*b**z - 4*b.
4*(b - 1)**2*(b + 1)*(b + 2)
Let a(g) = -8*g + 59. Let w be a(7). Suppose 0 = -2*f - r - w*r - 6, 5*r = -5*f. Let p**3 - f*p**3 - 6*p**4 + 4*p**4 + 4*p**3 = 0. What is p?
0, 1
Let j(f) be the third derivative of -f**6/840 + 391*f**5/420 - 12805*f**4/56 + 12675*f**3/14 + 44*f**2 + 12. Solve j(o) = 0.
1, 195
Solve 20*u**3 + 1/2*u**4 + 0 + 37/2*u**2 - 39*u = 0.
-39, -2, 0, 1
Let p(g) be the first derivative of g**6/8 + 4833*g**5/20 + 647619*g**4/4 + 38279776*g**3 - 174534732*g**2 +