 - 41/7*q**3 + 1444/7 - 133*q = 0. What is q?
-19, -4, 1
Let q = 54191/207 + -2353/9. Suppose 9*m - 5*m = -4*m. Factor 2/23*y**4 + q*y - 8/23*y**2 + m - 2/23*y**3.
2*y*(y - 2)*(y - 1)*(y + 2)/23
Suppose 61*c + 38*c - 263 = 232. Let v(z) be the first derivative of -1/6*z**6 - 42 - 13/16*z**4 - 1/8*z**2 - 3/5*z**c - 1/2*z**3 + 0*z. Factor v(i).
-i*(i + 1)**2*(2*i + 1)**2/4
Solve 62*g + 522/5*g**3 + 8/5*g**5 + 118/5*g**4 + 0 + 722/5*g**2 = 0 for g.
-31/4, -5, -1, 0
Suppose -191*i = -192*i + 2. What is j in -19*j**2 - 25*j**i + 48*j**2 - 12*j = 0?
0, 3
Suppose -6*k + 315 = 21. Suppose k*b - 50*b + 2 = 0. Factor -17*g**4 + 18*g**4 + 8*g**3 + 13*g**b + 0*g**3 + 6*g.
g*(g + 1)**2*(g + 6)
Let v(r) be the second derivative of r**6/30 - 4*r**5/15 + r**4/2 + 25*r**2/2 + 81*r. Let i(w) be the first derivative of v(w). Factor i(m).
4*m*(m - 3)*(m - 1)
Let -4/7*i**5 + 40/7*i**4 + 0 - 40/7*i**2 + 100/7*i**3 - 96/7*i = 0. What is i?
-2, -1, 0, 1, 12
Let h be 2 + 1*-10 + -470 + 480. Let i(r) be the third derivative of -1/12*r**5 + 0 - 11*r**h + 0*r + 0*r**3 - 1/24*r**6 + 0*r**4. Determine c so that i(c) = 0.
-1, 0
Let n(p) = -44*p + 220. Let v be (-7 - (-273)/49)/((-6)/21). Let o be n(v). Solve 0*t + 0 + o*t**4 + 0*t**2 - 4/5*t**5 + 0*t**3 = 0 for t.
0
Let h = -684 + 687. Factor 645 - r + 0*r**4 + 5*r**4 - 636 - 2*r**4 - 44*r**2 - 9*r - 22*r**h.
(r - 9)*(r + 1)**2*(3*r - 1)
Let w = -113792 - -682753/6. Determine x so that 1/3*x + 1/6*x**2 - 1/3*x**3 - w*x**4 + 0 = 0.
-2, -1, 0, 1
Let w(n) be the first derivative of n**3/18 + 241*n**2/12 + 40*n + 680. Let w(h) = 0. Calculate h.
-240, -1
Determine j so that 0 + 39*j**3 + 0*j + 33/5*j**4 - 3/5*j**5 - 45*j**2 = 0.
-5, 0, 1, 15
Factor 289 - 69 + 8478*j**3 + 56*j**2 - 8480*j**3 - 274*j.
-2*(j - 22)*(j - 5)*(j - 1)
Suppose -7 = -3*b + 44. Let g(u) = u - 14. Let v be g(b). What is f in v*f - 197*f**2 + 192*f**2 - 8*f = 0?
-1, 0
Let s be (-13)/((-403)/279)*(-4 + (-87)/(-12)). Solve 57/4*l - 3/2 - s*l**2 = 0 for l.
2/13, 1/3
Let h = 526770 + -526768. Find g, given that 2*g**5 + 9/2*g**4 - 7*g**3 + 0 - 4*g - 18*g**h = 0.
-2, -1/4, 0, 2
Let q(d) = d**2 + 369*d - 1110. Let o be q(3). Let -17/3*m - 1/3*m**2 + o = 0. Calculate m.
-18, 1
Factor -474 + 65*t + 321*t**2 + 309*t**2 - 629*t**2 + 90*t.
(t - 3)*(t + 158)
Determine t, given that -49/5*t - 1/5*t**5 - 46/5*t**4 - 94/5 + 10*t**3 + 28*t**2 = 0.
-47, -1, 1, 2
Let z(m) be the first derivative of -m**6/120 - 19*m**5/20 + 118*m**3/3 + 21. Let a(p) be the third derivative of z(p). Factor a(o).
-3*o*(o + 38)
Let w(r) be the third derivative of -r**5/4 + 2545*r**4/6 + 3395*r**3/6 + 813*r**2. Factor w(i).
-5*(i - 679)*(3*i + 1)
Factor -2*w**3 - 1057*w + 3337 + 791 + 274*w**2 - 473*w - 566*w.
-2*(w - 129)*(w - 4)**2
Let p(o) = o**4 - 44*o**3 - 94*o**2 - o + 39. Let v(w) = 4*w**4 - 265*w**3 - 561*w**2 - 6*w + 235. Let c(g) = 34*p(g) - 6*v(g). Determine f so that c(f) = 0.
-7, -2, -1, 3/5
Let w(d) = 41*d - 1. Let u be w(2). Factor -93*h**2 + 235*h + 50 + 57*h**2 + u*h**2.
5*(h + 5)*(9*h + 2)
Let g(s) be the third derivative of s**7/42 - s**6/6 - 13*s**5/4 - 45*s**4/4 - 594*s**2. Factor g(w).
5*w*(w - 9)*(w + 2)*(w + 3)
Let s(p) be the first derivative of 0*p**3 - 17*p**2 + 0*p + 45 - 1/96*p**4 - 1/240*p**5. Let q(n) be the second derivative of s(n). Factor q(h).
-h*(h + 1)/4
Factor 96/7 + 2/7*n**2 + 4*n.
2*(n + 6)*(n + 8)/7
Let m(h) be the third derivative of -h**6/40 - 107*h**5/10 - 635*h**4/8 - 211*h**3 + 5*h**2 + 21*h + 1. Factor m(q).
-3*(q + 1)*(q + 2)*(q + 211)
Let q = -1039/4248 + 329/531. Solve -7/2 - q*o + 1/8*o**2 = 0.
-4, 7
Let a = 168 + -143. Solve -24 - 46*x**2 + 41*x - 2*x**4 + 50*x**3 - a*x**3 - 9*x**3 + 23*x - 8*x = 0.
1, 2, 3
Let r(q) = -q**3 + 21*q**2 + 42*q - 1238. Let j be r(20). Find t, given that 7/4*t - 5/2 - 1/4*t**j = 0.
2, 5
Let j(i) be the first derivative of -1/3*i**3 - 59 + 0*i + 3/14*i**2 + 1/14*i**4. Factor j(y).
y*(y - 3)*(2*y - 1)/7
Let m(a) = -23 + 3 + 12 - 24 - 5*a. Let v be m(-7). Factor -6*y + 16*y**2 - 3*y**v + 0*y**3 - 25*y**2.
-3*y*(y + 1)*(y + 2)
Let l = -3/9016 + 3867/9016. Determine u so that 0*u + l*u**5 + 0 - 3/7*u**3 + 3/7*u**4 - 3/7*u**2 = 0.
-1, 0, 1
Let z = -4274 + 4276. Suppose 2*w + 8 = 6*w. Factor -5*l**w - 4*l - 631 + 641 - l + 0*l**z.
-5*(l - 1)*(l + 2)
Suppose -683 = -10*b - 313. Factor -3*r**4 + 23*r**3 + 34*r**3 - b*r**3 + r**4 - 72*r**2 + 108*r - 54.
-2*(r - 3)**3*(r - 1)
Let w(n) be the second derivative of 0 + 8*n + 1/300*n**5 - 1/30*n**3 + 4*n**2 + 0*n**4. Let b(j) be the first derivative of w(j). Solve b(h) = 0 for h.
-1, 1
Let o = 15312 - 15312. Let o*k + 0 + 1/3*k**4 + 0*k**2 + 0*k**3 = 0. What is k?
0
Let i(a) be the first derivative of -1/42*a**4 + 1/21*a**3 + 0*a**2 + 18*a + 27. Let y(j) be the first derivative of i(j). Suppose y(v) = 0. Calculate v.
0, 1
Suppose 149 - 1151 = -5*c + 4*l, 0 = c - 5*l - 213. Let v be 110/c*6/20*10. Factor v*s**3 - 5/3 - 5/3*s + 5/3*s**2.
5*(s - 1)*(s + 1)**2/3
Suppose -z + 35 = 4*z + 4*d, -d = -5. Factor 2*w**2 + 5*w + z*w - 6 - 2 - 2*w**3.
-2*(w - 2)*(w - 1)*(w + 2)
Let m(g) be the third derivative of -3*g**2 - 7*g - 7/120*g**6 + 0 + 5/2*g**4 - 1/5*g**5 - 8/3*g**3. Solve m(d) = 0 for d.
-4, 2/7, 2
Let w be 2*(0 - 1) + 3 - -6. Let s(j) be the first derivative of 13 - 8*j - 1/2*j**4 + w*j**2 - 4/3*j**3. Let s(u) = 0. What is u?
-4, 1
What is h in 323761 + 1/4*h**2 - 569*h = 0?
1138
Let p(i) be the second derivative of -14/9*i**4 + 10/9*i**3 + 13/60*i**5 + 0 + 1/18*i**6 + 128*i + 0*i**2. What is m in p(m) = 0?
-5, 0, 2/5, 2
Suppose 1168 - 384 = -28*k. Let w be ((-24)/k)/(4/7). Factor 0*q**2 + 0 + 0*q + 3/2*q**4 - w*q**3.
3*q**3*(q - 1)/2
Suppose -330 = 11*q - 6*q. Let p = q - -68. Let 0*h - h**2 + 38*h**4 + 39*h**4 - p*h - 76*h**4 + 2*h**3 = 0. What is h?
-2, -1, 0, 1
Let q(f) be the first derivative of -f**4/20 - f**3/15 + f**2/5 - 3328. Let q(z) = 0. Calculate z.
-2, 0, 1
Factor -117*v**5 + 1396*v**2 - 464*v + 277*v**5 - 164*v**5 + 476*v**4 - 1404*v**3.
-4*v*(v - 116)*(v - 1)**3
Let r(z) be the first derivative of -z**6/90 - 43*z**5/420 - z**4/28 - 37*z**3 - 4. Let s(f) be the third derivative of r(f). Let s(m) = 0. What is m?
-3, -1/14
Let l(h) be the first derivative of 5*h**8/588 - 4*h**7/735 - 5*h**2/2 - 3*h + 11. Let r(v) be the second derivative of l(v). Determine w, given that r(w) = 0.
0, 2/5
Let y(g) = -5*g**4 - 22*g**3 + 67*g**2 - 70*g. Let h(c) = -135*c**4 - 595*c**3 + 1795*c**2 - 1890*c. Let v(u) = 2*h(u) - 55*y(u). Factor v(x).
5*x*(x - 2)*(x - 1)*(x + 7)
Let j(u) be the first derivative of u**4/16 + 3*u**3/2 + 11*u**2/2 - 42*u - 2351. Factor j(t).
(t - 2)*(t + 6)*(t + 14)/4
Let d(i) be the second derivative of i**6/70 - 12*i**5/35 + 41*i**4/28 - 13*i**3/7 - 2752*i - 1. Suppose d(c) = 0. Calculate c.
0, 1, 2, 13
Factor 1/2*u**3 + 128 + 112*u - 31/2*u**2.
(u - 16)**2*(u + 1)/2
Suppose -3*y + 4*y - 12 = 0. Let v = y + -10. Factor 5*k**3 - 10 - 5*k + 15*k**v + 0*k**2 - 7*k**4 + 14*k**4 - 12*k**4.
-5*(k - 2)*(k - 1)*(k + 1)**2
Let p(t) be the third derivative of 0*t**6 + 0*t**4 + 0*t + 0*t**5 + 1/56*t**8 + 0 + 0*t**3 - 2/105*t**7 - 73*t**2. Solve p(f) = 0 for f.
0, 2/3
Find y such that 3/2*y**5 + 0 + 0*y - 13/2*y**4 + 4*y**3 + 6*y**2 = 0.
-2/3, 0, 2, 3
Let c(f) be the second derivative of -f**6/15 + 6*f**5/5 + 16*f**4 + 208*f**3/3 + 144*f**2 - 45*f - 15. Factor c(y).
-2*(y - 18)*(y + 2)**3
Let k be 1/3*0*(10/15)/(56/(-12)). Find c, given that -32/15*c + 16/15*c**2 + k - 2/15*c**3 = 0.
0, 4
Factor -5/2*g**2 + 0*g + 1/2*g**3 + 0.
g**2*(g - 5)/2
Let n(p) be the first derivative of -1/15*p**5 + 4*p**3 + 64/3*p + 1/6*p**4 + 81 + 44/3*p**2. Suppose n(r) = 0. What is r?
-2, 8
Let j(o) be the third derivative of -o**5/300 + 97*o**4/40 + 293*o**3/15 - 3831*o**2. Let j(d) = 0. What is d?
-2, 293
Let q be ((-3)/(-6) + (-14)/16)/(7/(-140)). Let l(h) be the first derivative of -q*h**2 - 9*h**3 - 9/4*h**4 + 0*h + 3/5*h**5 + 40. Factor l(v).
3*v*(v - 5)*(v + 1)**2
Let i(h) = -5*h + 47. Let c be i(9). What is o in -o**c - 11*o - 19*o - 15*o + 37*o + 9 = 0?
-9, 1
Let j(s) be the first derivative of -s**5/120 + 11*s**4/48 + s**2/2 + 47*s - 67. Let l(k) be the second derivative of j(k). Let l(a) = 0. Calculate a.
0, 11
Let f be (9/(135/(-10)))/(-2)*(70/5 - 5). Determine n, given that 159/8