5*r - 54/5*r**3 - 3/5*r**5 - 24/5*r**4 + 0*r**c + 0 = 0.
-3, 0, 1
Let h(q) be the second derivative of 5*q**4/48 - 145*q**3/24 - 425*q**2/4 - 2072*q. Suppose h(c) = 0. What is c?
-5, 34
Suppose -30*l**2 - 25*l**3 - 240*l + 46*l**3 - 316 - 296 - 22*l**3 + l**2 = 0. Calculate l.
-17, -6
Let z be (4601/2996)/((-4)/(96/(-15))) + (-10)/175. Find y such that 7/5 - z*y + y**2 = 0.
1, 7/5
Let p(w) be the third derivative of w**8/151200 - 11*w**7/18900 + w**6/135 + 161*w**5/60 - 10*w**2. Let l(j) be the third derivative of p(j). Factor l(s).
2*(s - 20)*(s - 2)/15
Suppose 3*c = 3*u + 133 - 154, 0 = -5*c - 2*u + 28. Solve 0*x - 8/7*x**c + 4/7*x**3 + 0 = 0 for x.
0, 2
Let f(z) = -z**3 + 13*z**2 - 10*z - 22. Let r be f(12). Factor 759*l - l**3 - 1434*l - 45*l**r - 426 - 2949.
-(l + 15)**3
Suppose 66 + 69 = -15*w. Let u(y) = -2*y - 14. Let z be u(w). Let 0*o**3 + 0 + 0*o - 2/5*o**z + 2/5*o**2 = 0. What is o?
-1, 0, 1
Find k, given that 7/2*k**2 + 3509/2 + 517/2*k - 1/2*k**3 = 0.
-11, 29
Factor 16/5*q**3 + 16*q**2 + 0 + 1/5*q**4 + 128/5*q.
q*(q + 4)**2*(q + 8)/5
Let m(c) be the third derivative of c**7/35 - 189*c**6/40 - 97*c**5/20 + 189*c**4/8 + 95*c**3/2 + 14*c**2 - 17. Find u such that m(u) = 0.
-1, -1/2, 1, 95
Factor 90 + 3/4*r**2 - 129/4*r.
3*(r - 40)*(r - 3)/4
Let z(b) be the second derivative of -b**7/315 + 16*b**6/225 - 7*b**5/25 + 4*b**4/9 - 13*b**3/45 - 624*b. Suppose z(l) = 0. Calculate l.
0, 1, 13
Let p(c) be the third derivative of -c**7/735 + 13*c**6/210 - 8*c**5/7 + 32*c**4/3 - 1024*c**3/21 + 3*c**2 + 32*c. Solve p(u) = 0 for u.
2, 8
Let z be -3*(-6088)/1826 + -10. Let n = z - -5464/6391. What is x in -n*x**2 + 6/7 - 3/7*x + 3/7*x**3 = 0?
-1, 1, 2
Factor 11484/5*m - 10990188/5 - 3/5*m**2.
-3*(m - 1914)**2/5
Suppose 0 = -5796*n - 627*n + 12846. Factor 9/4*x - 21/2*x**2 + 5/4 + n*x**3.
(x - 5)*(2*x - 1)*(4*x + 1)/4
Suppose -5*k = -4*l - 1, -4 = -9*k + 7*k - 2*l. Let n be (k + 333/(-297))*36*-8. Factor -2/11*j**3 - 1024/11 - n*j - 48/11*j**2.
-2*(j + 8)**3/11
Let q(s) be the first derivative of 0*s - 5/6*s**6 - 20/3*s**3 + 0*s**2 - 45/4*s**4 + 2 - 6*s**5. Factor q(t).
-5*t**2*(t + 1)**2*(t + 4)
Let g be ((-23069)/1150 + 20)/((-18)/35 - 0). Let t(j) be the third derivative of 29*j**2 - 2/3*j**4 - g*j**5 - 1/120*j**6 + 0*j - 2*j**3 + 0. Factor t(f).
-(f + 2)**2*(f + 3)
Let z be 9 + 164/68*17. Factor 324*x**2 + 16 + 310*x**3 + z*x**4 + 616/5*x.
2*(x + 5)*(5*x + 2)**3/5
Let l be (0 + -1)/((18/(-117))/(20/65)). Let o(d) be the second derivative of 0 - 1/9*d**3 + 20*d - 1/36*d**4 + 0*d**l. Factor o(z).
-z*(z + 2)/3
Let m be 0/((6 - (8 + -5)) + -5). Let g(f) be the third derivative of 0*f - 1/12*f**4 - 15*f**2 - 1/60*f**5 + m*f**3 + 0. Factor g(i).
-i*(i + 2)
Let u(a) be the first derivative of 5*a**3/3 + 1665*a**2/2 - 1553. Factor u(s).
5*s*(s + 333)
Suppose -312*h - 7095/2*h**2 - 6 + 27225/2*h**3 = 0. What is h?
-2/55, 1/3
Let c(j) be the third derivative of -j**8/4200 - j**7/525 - 49*j**3 + 2*j**2 - 50. Let l(f) be the first derivative of c(f). Find x, given that l(x) = 0.
-4, 0
Let d(o) be the third derivative of -o**5/25 - 1729*o**4/30 + 2308*o**3/15 - 4884*o**2. Factor d(i).
-4*(i + 577)*(3*i - 2)/5
Let o(t) be the third derivative of t**5/195 + 5*t**4/156 - t**3/13 + 2483*t**2. Factor o(q).
2*(q + 3)*(2*q - 1)/13
Let n(v) be the first derivative of -81*v**6/2 + 513*v**5 + 3747*v**4/2 + 980*v**3 + 156*v**2 + 3416. Suppose n(x) = 0. Calculate x.
-2, -2/9, 0, 13
Let r(v) be the second derivative of -v**7/70 - 97*v**6/50 - 4743*v**5/50 - 8816*v**4/5 - 7168*v**3/5 + 294912*v**2/5 + 207*v. Find p, given that r(p) = 0.
-32, -3, 2
Let x(u) = -u**3 - 2*u**2 + u. Let m(z) be the second derivative of z**6/6 - 11*z**5/10 + 23*z**4/6 - 23*z**3/6 + 24*z. Let l(f) = m(f) + 3*x(f). Factor l(q).
5*q*(q - 2)**2*(q - 1)
Suppose -40*z - 75*z - 134 = -1001 - 168. Factor -z*w**2 + 15/2*w + 3/2*w**3 + 0.
3*w*(w - 5)*(w - 1)/2
Solve -v**4 + 12*v**3 - 45*v**2 - 13*v**3 - 27*v**3 + 178*v - 3055121 + 3055017 = 0 for v.
-26, -4, 1
Suppose -2*p + 92 + 216 = -3*i, 4*i = 2*p - 304. Let o be -11 + (p/6 - 11). What is t in -2/3*t**5 + 0 - 8/3*t**2 + o*t**3 - 4/3*t**4 + 0*t = 0?
-4, 0, 1
Let v be (10*8/(-240))/7*(-47 - 2/2). Factor -8/7 + 34/7*n - v*n**4 + 2/7*n**5 - 8*n**2 + 44/7*n**3.
2*(n - 4)*(n - 1)**4/7
Find y, given that -4/3*y**3 + 460/3*y + 56/3*y**2 + 400/3 = 0.
-5, -1, 20
Let v be (-2)/11 - (145584/(-176) + 9). Let l = v + -816. Factor 0 + 1/5*f**l + 8/5*f.
f*(f + 8)/5
Let c = -9/28040 - -14029/28040. What is o in 11/2 - 5*o - c*o**2 = 0?
-11, 1
Let v = -161/90 - -37/18. Let j(o) be the first derivative of -1/15*o**6 - 2/5*o**4 + 1 - 8/25*o**5 + v*o**3 + o**2 + 4/5*o. Let j(u) = 0. What is u?
-2, -1, 1
Factor -20/17*s - 2/17*s**2 + 48/17.
-2*(s - 2)*(s + 12)/17
Let o(k) = -60*k**2 + 648*k + 723. Let v(u) = u**3 + 55*u**2 - 658*u - 722. Let a(i) = -2*o(i) - 3*v(i). Factor a(m).
-3*(m - 10)*(m + 1)*(m + 24)
Let z = -1240346 + 1240346. Suppose 30*v**3 - 63/2*v + 15*v**2 + z - 15*v**4 + 3/2*v**5 = 0. What is v?
-1, 0, 1, 3, 7
Let n be (4 + -36 - -19) + 284/14. Suppose 4913/7 + 867/7*k + 1/7*k**3 + n*k**2 = 0. What is k?
-17
Let r(c) be the second derivative of -c**4/72 + 17*c**3/18 - 16*c**2/3 + 2*c + 794. Factor r(m).
-(m - 32)*(m - 2)/6
Let f(v) = -454*v**3 + v**2 + 5*v - 5. Let s be f(1). Let b = s + 453. Factor b - 2/7*r**5 + 0*r - 2/7*r**2 + 2/7*r**3 + 2/7*r**4.
-2*r**2*(r - 1)**2*(r + 1)/7
Suppose 10 = -3*g + 52. Suppose 2*v - 6 = 5*l - 2*v, 0 = l + 3*v - g. Determine z, given that 4/5*z**l - 24/5 + 4/5*z = 0.
-3, 2
Let t be 115902/30688 - 15/4. Let z(h) be the third derivative of 14*h**2 + 0*h + h**3 - 11/8*h**4 - t*h**8 - 13/20*h**6 + 0 + 6/5*h**5 + 1/5*h**7. Factor z(p).
-3*(p - 1)**4*(3*p - 2)
Let a be (30/40)/((-21 - (-6365)/304)/((-2)/60)). Let -1/5*x**2 - 1/5 - a*x = 0. Calculate x.
-1
Solve -11800080*h - 5914612*h**2 - 5895184 - 4*h**4 + 783*h**3 - 2202*h**3 - 641*h**3 - 7660*h**3 = 0 for h.
-1214, -1
Let v(s) be the third derivative of 55/9*s**4 - 1/315*s**7 - 121/9*s**3 - 1/9*s**6 - 13/15*s**5 - 1 - 2*s**2 + 0*s. Let v(f) = 0. Calculate f.
-11, 1
Let h be 43 - 27 - 78/6. What is q in -3/2*q**4 + 0 + 3/2*q**3 + 0*q + h*q**2 = 0?
-1, 0, 2
Let j(c) be the third derivative of c**5/160 - 951*c**4/32 + 904401*c**3/16 - 109*c**2 - c. Let j(d) = 0. What is d?
951
Let x(t) be the second derivative of -t**4/4 - 307*t**3/2 + 1395*t**2 - 57*t + 2. Factor x(n).
-3*(n - 3)*(n + 310)
Let l(s) = s**3 + 5*s**2 - 3*s + 2. Let g(i) = -3*i + 64 - 62 + 6*i**2 + i**3 + 0*i**2. Let h(p) = 5*g(p) - 6*l(p). Solve h(b) = 0 for b.
-2, 1
Let w be -5 - (-52)/7 - (-8)/14. Let -o + 37*o**w - 3*o**2 + 3 + 42*o**3 - 4*o - 74*o**3 = 0. Calculate o.
-1, 3/5, 1
Factor -5553 - 10*i**2 - 1842*i + 12*i**2 - 7*i**2 + 8*i**2.
3*(i - 617)*(i + 3)
Let y(a) be the third derivative of a**5/140 - 5*a**4/56 + 3*a**3/7 + 722*a**2 + 5*a. Factor y(v).
3*(v - 3)*(v - 2)/7
Let t(c) be the third derivative of c**6/24 - 335*c**5/6 + 3875*c**2. Solve t(w) = 0.
0, 670
Let j be (-12 - (-576)/54)*(-13)/52. Suppose -4/3*s**3 + 0*s + 0 + 4/3*s**5 + 1/3*s**4 - j*s**2 = 0. What is s?
-1, -1/4, 0, 1
Let p(f) be the second derivative of -276*f + 0 - 88*f**3 + 1/15*f**6 + 11/5*f**5 + 97/6*f**4 + 144*f**2. Determine m, given that p(m) = 0.
-12, 1
Let v(w) = 6627*w**2 + 6486*w + 1439. Let x(t) = -37. Let y(j) = v(j) - 4*x(j). Factor y(d).
3*(47*d + 23)**2
Suppose 34*z - 86 = 220. Let x be 12/27 - (z - (-996)/(-108)). Factor x + 0*j - 2/3*j**2.
-2*(j - 1)*(j + 1)/3
Let u(z) = -3*z**3 + 22*z**2 + 24*z - 47. Let w be u(8). Determine p so that 0*p**3 - 59*p**2 - p**5 + 10*p**4 + 67*p**2 + 0*p**3 - w*p**3 = 0.
0, 1, 8
Suppose -13 = -j - 2*z, -31 = -15*j + 12*j - 4*z. Suppose 2*n + 2*p = 0, -3*n = p + 1 - 5. Solve 0 - 1/2*h**j + 0*h - 1/2*h**4 + 1/2*h**3 + 1/2*h**n = 0 for h.
-1, 0, 1
Let -7/2*h**3 + 8*h - 9/2*h**5 + 17/2*h**2 - 21/2*h**4 + 2 = 0. What is h?
-1, -2/3, 1
Let z(r) be the first derivative of r**5/30 + 11*r**4/4 - 70*r**3/3 - 16*r**2 - r - 94. Let w(t) be the second derivative of z(t). Factor w(y).
2*(y - 2)*(y + 35)
Suppose -16*m + 67 = 3. Solve -7*g**4 + 4*g**2 - g**4 + m*g**4 = 0 for g.
-1, 0, 1
Let u(p) be the first derivative of -14*p**3/27 - 5*p**2/3 + 44*p/9 - 703. Factor u(k).
-2*(k - 1)*(7*k + 22)/9
Le