f -1/12*z**2 + 0*z - 1/6*z**3 - y*z**5 - 1/8*z**4 + 6. Factor u(g).
-g*(g + 1)**3/6
Let t(p) be the second derivative of 0*p**4 - 16*p + 0 + 1/48*p**3 + 3*p**2 - 1/480*p**5. Let j(v) be the first derivative of t(v). Find g such that j(g) = 0.
-1, 1
Let g be (4*(-141)/94)/(-18). Solve -28/3*h**3 + 61/3*h**2 - 19/6*h - g = 0 for h.
-1/14, 1/4, 2
Determine w so that 36/7*w**3 - 2/7*w**4 - 194/7*w**2 - 128/7 + 288/7*w = 0.
1, 8
Let b be (-2)/(8/2506) - (-81 + 85). Let r = 632 + b. Suppose 6*x - r*x**3 + 0 + 0*x**2 = 0. Calculate x.
-2, 0, 2
Let s(l) be the third derivative of -l**7/2415 - 2*l**6/69 + 29*l**5/230 + 21*l**4/46 - 2197*l**2. Find a such that s(a) = 0.
-42, -1, 0, 3
Determine s so that 127305 + 850*s + 105*s - 7*s**3 + 50*s**2 + 2*s**3 - 126405 = 0.
-9, -1, 20
Let m(i) = -49*i**2 + 3*i - 2. Suppose -2*t = -3*l, 3*t - 94*l + 26 = -96*l. Let s(w) = -7*w**2 - w. Let d(p) = t*s(p) + m(p). Factor d(a).
-(a - 1)*(7*a - 2)
Let k = -2/516337 - -516353/4130696. Suppose k*r**2 + 1225/8 - 35/4*r = 0. Calculate r.
35
Let p(h) be the second derivative of -30*h**2 + 1/4*h**5 + 2*h + 5 - 10/3*h**4 + 95/6*h**3. Factor p(c).
5*(c - 4)*(c - 3)*(c - 1)
Solve 6*o**4 - 2578233*o**3 + 7*o**4 - 9*o**2 - 21*o**5 - 10*o + 2578260*o**3 = 0 for o.
-5/7, -2/3, 0, 1
Let k = -836 + 1856. Let u = -7124/7 + k. Suppose -u*a + 4/7*a**3 + 6/7*a**2 - 2/7*a**4 + 8/7 = 0. What is a?
-2, 1, 2
Let l(b) be the second derivative of -1/11*b**3 - 1/66*b**4 - 62 - 2/11*b**2 - b. What is f in l(f) = 0?
-2, -1
Let b(j) be the third derivative of j**7/945 + j**6/15 - 38*j**5/135 - 155*j**2. Factor b(s).
2*s**2*(s - 2)*(s + 38)/9
Let q(o) be the first derivative of o**3/8 + 2451*o**2/16 + 2445*o/4 + 4557. Factor q(y).
3*(y + 2)*(y + 815)/8
Let s(f) be the first derivative of -2*f**5/25 + 28*f**4/5 + 1724*f**3/15 + 2464*f**2/5 - 6762*f/5 + 2755. Let s(d) = 0. What is d?
-7, 1, 69
Factor -112*t + 203 + 502*t - 47*t**2 - 196 + 46*t**2 - 396.
-(t - 389)*(t - 1)
Let -1392*t**3 + 2704*t**2 + 2976 + 324 - 20*t**5 - 388*t**4 + 14720*t + 2076 = 0. Calculate t.
-14, -4, -2/5, 3
Let h = -11/7396 + 3753/36980. Determine q, given that -1/5*q**3 - h*q**4 + 4/5*q + 0 + 2/5*q**2 = 0.
-2, 0, 2
Let w(z) be the second derivative of 10/3*z**3 - 1/4*z**5 + 24*z + 2 - 5/4*z**4 + 30*z**2. Let w(q) = 0. Calculate q.
-3, -2, 2
Let q be 11/3 - 4/6. Let a be ((-46546)/2516)/(37/(-4)). Let 0*f + 0 + 2/7*f**q + 2/7*f**a = 0. Calculate f.
-1, 0
Factor -660 + 598*v**2 + 46*v + 593*v**2 + 581*v**2 - 1770*v**2.
2*(v - 10)*(v + 33)
Let d = 2151 - 628. Let i = 1523 - d. Factor 2/3*o**2 - 2/3*o**4 + 2/3*o + i - 2/3*o**3.
-2*o*(o - 1)*(o + 1)**2/3
Suppose -188*a - 659 = -472*a + 193. Factor -2/3*v**a - 58/3*v**2 - 56/3*v + 0.
-2*v*(v + 1)*(v + 28)/3
Let a(t) be the first derivative of -6*t + 2*t**3 - 3/4*t**4 + 3/2*t**2 - 39. Factor a(i).
-3*(i - 2)*(i - 1)*(i + 1)
Let g(a) = 24*a**2 - 317*a - 266. Let y be g(14). Determine l so that -3/5*l + y - 3/5*l**2 = 0.
-1, 0
Factor -376*i - 212*i - 62400 + 62400 + 3*i**2.
3*i*(i - 196)
Let w be (-30)/(-165) + (-40)/(-22). Let -64*s**2 + 549*s**4 + 5*s**5 + w*s**3 - 529*s**4 - 16*s**2 - 80*s - 2*s**3 = 0. What is s?
-2, 0, 2
Let c(q) = 12*q**2 + 183*q - 864. Let w(y) = 3*y**2 + 48*y - 216. Let r(p) = 6*c(p) - 25*w(p). Let r(o) = 0. Calculate o.
-36, 2
Let i(s) = -7*s**3 - 10*s**2 - 15*s + 12. Let x(c) = c**3 + c - 2. Suppose -2*w + 8 = 2*k, -4*w + 5*k + 26 = 4*k. Let n(g) = w*x(g) + i(g). Factor n(f).
-f*(f + 1)*(f + 9)
Determine n, given that 88*n**3 + 250/7*n**2 + 374/7*n**4 - 120/7 - 184/7*n + 72/7*n**5 = 0.
-2, -1, -3/4, 5/9
Let n = -87/64 + 103/64. Factor 61/4*b**2 + 25 - 9/2*b**3 + 45*b + n*b**4.
(b - 10)**2*(b + 1)**2/4
Determine g so that -29012*g - g**5 - 17601*g - 28271*g - 2400*g - 154012*g**2 - 76173*g**3 + 554*g**4 = 0.
-1, 0, 278
Let c = -92335 + 21698789/235. Let d = c - -6/47. Factor 2/5*v**3 - 6/5*v**2 + 6/5 - d*v.
2*(v - 3)*(v - 1)*(v + 1)/5
Let x(m) be the third derivative of m**7/70 - 3*m**6/40 - 89*m**5/20 + 3*m**4/8 + 44*m**3 - 24*m**2 - 29*m - 3. Solve x(k) = 0.
-8, -1, 1, 11
Let l be (-155)/(8990/(-696)) - (15/4)/((-6)/(-16)). Factor 140/3*g**l + 292/3*g + 148/3 - 4/3*g**3.
-4*(g - 37)*(g + 1)**2/3
Let y(g) be the third derivative of -g**6/60 - 46*g**5/15 - 91*g**4/12 - 545*g**2 - 1. Suppose y(z) = 0. What is z?
-91, -1, 0
Let k be 7*(260/35 + -3 - (34 + -30)). Let 2/15*h**2 - 2/5*h - 2/15*h**4 + 2/5*h**k + 0 = 0. What is h?
-1, 0, 1, 3
Let y be -5*(-56)/(-7)*1. Let k be -1 - -3 - y/(-24). Factor -5/3*d + 1/3*d**3 + 1 + k*d**2.
(d - 1)**2*(d + 3)/3
Suppose -186*l - 90 + 326 = -136. Let p(w) be the first derivative of w**l + 16 - 3/10*w**5 + 0*w - 1/8*w**4 + 2*w**3. Suppose p(m) = 0. Calculate m.
-2, -1/3, 0, 2
Let j(s) be the first derivative of 7 - 29/12*s**3 + 3/8*s**4 + 3/2*s**2 - s. Let z(o) be the first derivative of j(o). Factor z(a).
(a - 3)*(9*a - 2)/2
Determine p so that 5886*p - 11881/4 - 1/4*p**4 - 54*p**3 - 5723/2*p**2 = 0.
-109, 1
Let a = 45/18743 - -56139/37486. Find t, given that -15/2*t**2 - a*t**4 - 29/2*t**3 + 9 + 29/2*t = 0.
-9, -1, -2/3, 1
Let d(o) = 2*o - 2. Let s be d(3). Factor 9*q - 4*q**2 + 8*q**3 + s*q**4 - 13*q - 7*q + 3*q.
4*q*(q - 1)*(q + 1)*(q + 2)
Let n(b) be the first derivative of b**5/120 + b**4/36 - b**3/36 - b**2/6 - 83*b + 5. Let y(m) be the first derivative of n(m). Factor y(c).
(c - 1)*(c + 1)*(c + 2)/6
Let k = 100738/66045 + 16/3885. Find a, given that 0 + 0*a + 2/17*a**3 + k*a**2 = 0.
-13, 0
Let t be 40/96*3 + 231/(-396). Let -4 - t*g**2 - 14/3*g = 0. Calculate g.
-6, -1
Let n(c) be the third derivative of -c**6/540 - 17*c**5/135 + 397*c**4/108 + 430*c**3/27 + 5247*c**2. Find h such that n(h) = 0.
-43, -1, 10
Let g be -7*((-7)/(47 + 2))/(1/2). Let -2/3*r + 38/3*r**3 - 20/3*r**4 + 0 - 16/3*r**g = 0. Calculate r.
-1/10, 0, 1
Let x(k) be the first derivative of k**3/8 + 597*k**2/16 - 765*k/2 + 5711. Factor x(v).
3*(v - 5)*(v + 204)/8
Let f be (-6)/(-11) + (-1160)/110*1. Let r be 4/f - 3/(120/(-86)). Let 25/4*x - r*x**3 - 3*x**2 - 3/2 = 0. Calculate x.
-3, 2/7, 1
Let -2235/4*m - 1395/2 - 35/2*m**5 + 2605/4*m**4 - 14195/4*m**3 + 22085/4*m**2 = 0. Calculate m.
-2/7, 1/2, 3, 31
Let s(d) be the third derivative of -d**7/2520 - 3*d**6/40 - 243*d**5/40 - d**4 + d**3/6 - 75*d**2. Let q(b) be the second derivative of s(b). Factor q(a).
-(a + 27)**2
Suppose 0 = -24*t + 105 - 33. Suppose -w + t*y + 10 = 0, 0 = -5*w + 2*w + y + 14. Factor 1/4*k**5 + 0*k**w + 0*k**2 + 0*k + 0 - 1/4*k**3.
k**3*(k - 1)*(k + 1)/4
Factor -1156/7 - 102*u - 2/7*u**3 - 72/7*u**2.
-2*(u + 2)*(u + 17)**2/7
What is d in 36 - 78/5*d + 2/5*d**4 - 2*d**3 - 94/5*d**2 = 0?
-3, 1, 10
Let h = -795 + 795. Suppose -s - 40*s + 82 = h. Suppose 15/2*k**3 + 0 + 0*k + 5/2*k**s = 0. What is k?
-1/3, 0
Suppose -73*f - 90 + 118 + 132 = -132. Factor f*k + 1/3*k**2 + 9.
(k + 3)*(k + 9)/3
Let j(z) be the third derivative of z**5/100 + 1099*z**4/10 + 2415602*z**3/5 - 3*z**2 + 242*z. What is u in j(u) = 0?
-2198
Suppose 84*p - 55 - 113 = 0. Let g be (-3)/(6/(-14)) + (-53 - -50). Factor -1/2*v**g + 5/2*v**3 + p*v + 0 - 4*v**2.
-v*(v - 2)**2*(v - 1)/2
Let p(z) be the first derivative of 2*z**3/3 - 88*z**2/3 + 58*z/3 - 6881. Determine f, given that p(f) = 0.
1/3, 29
Let z(x) be the first derivative of -x**6/7 - 62*x**5/35 + 30*x**4/7 + 2386. Factor z(q).
-2*q**3*(q + 12)*(3*q - 5)/7
Let l = 37592 - 37358. Factor 9/2*j**4 + 78*j**3 + 81/2 - l*j + 311*j**2.
(j + 9)**2*(3*j - 1)**2/2
Let d = 464 + -439. Suppose 5*s + d*s**2 - 58*s - 4 + 31 + s**3 = 0. What is s?
-27, 1
Let o(r) be the third derivative of -r**5 + 55*r**2 + 0 - 17/6*r**4 + 2/105*r**7 - 4*r**3 + 0*r - 1/10*r**6. Determine p, given that o(p) = 0.
-1, 6
Let q(g) be the first derivative of -3/10*g**5 + 0*g + 5/2*g**4 + 1/2*g**2 - 25/3*g**3 - 5. Let f(l) be the second derivative of q(l). Factor f(s).
-2*(3*s - 5)**2
Let i(s) be the second derivative of 5*s**4/72 + 185*s**3/36 + 85*s**2/2 + 148*s - 3. Find m such that i(m) = 0.
-34, -3
Let v(j) be the first derivative of j**4/8 + 25*j**3/6 + 36*j**2 - 15436. Solve v(m) = 0.
-16, -9, 0
Let n(u) be the third derivative of 1/30*u**5 + 0 - 4*u**3 + 18*u - u**2 - 1/12*u**4. Let n(k) = 0. What is k?
-3, 4
Let x(p) be the first derivative of p**4/16 - 30*p**3 + 2133*p**2/8 - 159