0*p - 4. Let w be ((-8)/(-20))/((-12)/(-10) - p). Solve 68*x**w + 10 + 8*x + 7*x - 63*x**2 = 0 for x.
-2, -1
Factor -51094*m**2 + 3*m + 4*m - 82*m**3 + m + 51254*m**2.
-2*m*(m - 2)*(41*m + 2)
Let n(b) = 2*b**3 - 9*b**2 - 4*b + 35. Let g be n(4). Let z be (-1)/(-4 + g - 1). Find c, given that 0*c - 1/6*c**5 + z*c**4 + 0 + 1/6*c**2 - 1/2*c**3 = 0.
0, 1
Factor -c**2 + 4*c**2 + 2133 + 8064*c - 5928*c.
3*(c + 1)*(c + 711)
Suppose 53*u + 22*u + 75750 = 0. Let r = -4039/4 - u. Factor 7/4*h**2 + 4*h + r*h**3 + 3.
(h + 2)**2*(h + 3)/4
Let w be ((-192)/(-120960))/(-5*4/(-30)). Let p(j) be the third derivative of -3*j**2 + 0*j + 0 + 1/42*j**3 + w*j**5 - 1/84*j**4. Solve p(q) = 0 for q.
1
Let y(c) be the first derivative of 250/7*c + 10/7*c**3 + 75/7*c**2 + 1/14*c**4 - 53. Factor y(t).
2*(t + 5)**3/7
Let v(t) = t**4 - 2*t**3 + 2*t + 3. Let p(n) = 5*n**5 - 59*n**4 + 228*n**3 - 300*n**2 + 127*n + 3. Let b(h) = p(h) - v(h). Let b(o) = 0. Calculate o.
0, 1, 5
Let h = -20025 + 20025. Let c(n) be the second derivative of h + 1/14*n**3 + 3/7*n**2 + 48*n - 1/28*n**4. Factor c(i).
-3*(i - 2)*(i + 1)/7
Let z be -7 - (-6 + 319/(-143)). Let j = 15524/13 + -1194. Let -j*l**2 - 4/13*l + z = 0. Calculate l.
-4, 2
Let p(u) be the second derivative of u**7/840 + 11*u**6/240 + u**5/4 + 5*u**4/4 - 32*u. Let s(n) be the third derivative of p(n). Factor s(y).
3*(y + 1)*(y + 10)
Let r(n) be the first derivative of n**7/840 - 7*n**6/1080 - n**5/60 - 27*n**3 - 47. Let k(g) be the third derivative of r(g). Factor k(s).
s*(s - 3)*(3*s + 2)/3
Let i = 2/88071 - -4491617/176142. Solve 9/2*v**3 - 45/2*v**2 + i*v - 9 + 3/2*v**4 = 0 for v.
-6, 1
Let d(a) be the first derivative of 4*a**3/3 + 970*a**2 + 5784*a - 3876. Factor d(t).
4*(t + 3)*(t + 482)
Let j be (-34)/60 - -3*13/(-234)*-4. Let a(q) be the first derivative of -18*q + 1/4*q**4 - 3*q**2 + 11/6*q**3 - j*q**5 + 14. Find f, given that a(f) = 0.
-2, 3
What is y in 625/4*y**2 + 1252*y + 400 + 3/4*y**3 = 0?
-200, -8, -1/3
Let k(z) = 16*z**2 + z. Suppose s - 3 = -2. Let o be k(s). Factor -h + 2 + o*h**2 - 8*h**2 - 10*h**2 + 0.
-(h - 1)*(h + 2)
Let b(u) be the second derivative of 5*u**4/12 + 175*u**3/6 + 375*u**2 + 190*u. Factor b(r).
5*(r + 5)*(r + 30)
Let l(x) be the second derivative of x**6/12 + 13*x**5/8 + 10*x**4 + 15*x**3 + 7086*x. Factor l(g).
5*g*(g + 1)*(g + 6)**2/2
Let u(p) be the second derivative of p**4/6 - 51*p**3 - 9*p + 2. Factor u(f).
2*f*(f - 153)
Let w(p) be the first derivative of 1/2*p**6 - 3/2*p**2 - 12 + 0*p + 81/16*p**4 - 57/20*p**5 - 2*p**3. What is j in w(j) = 0?
-1/4, 0, 1, 2
Let n(q) be the third derivative of -q**8/504 + 16*q**7/315 + 11*q**6/10 + 36*q**5/5 + 75*q**4/4 + 804*q**2 + 2. Solve n(r) = 0 for r.
-3, 0, 25
Let g(w) be the second derivative of 1/160*w**5 + 0 + 13/48*w**4 - 1/48*w**3 - 99*w - 13/8*w**2. Suppose g(p) = 0. Calculate p.
-26, -1, 1
Let r be 22/6 + (-2)/(-6). Let x be -264 - -275 - (-18)/2*-1. What is a in 9*a - 4 + 4*a**x + r*a**3 - 17*a**2 - 3*a**3 + 7*a**2 = 0?
1, 4
Suppose -91*z - 124*z + 221 = -81 - 128. Let n = -44 + 136/3. What is b in -n + 0*b + b**z + 1/3*b**3 = 0?
-2, 1
Suppose 4*r**5 - 708205 + 112*r**4 + 404*r**3 + 192*r + 708205 + 488*r**2 = 0. Calculate r.
-24, -2, -1, 0
Suppose 2*l + l + 2*t = 4, -l - 2 = -t. Let 6*j + 2 - 5 - j**2 + l - 2 + 0 = 0. Calculate j.
1, 5
Let m(p) = -11*p + 145. Let n be m(13). Let x(b) = -6*b + 30. Let i be x(5). Let 0*o - 2/3*o**3 + 0*o**n + i = 0. What is o?
0
Let y(n) be the third derivative of n**7/1680 - 59*n**6/120 + 117*n**5/20 - 175*n**4/6 + 233*n**3/3 + 5*n**2 - 52. Let y(k) = 0. What is k?
2, 466
Let b be 18*(-45)/61380*-62. Factor -b*g**2 + 0*g**3 + 1/11*g**4 - 4/11*g + 12/11.
(g - 3)*(g - 1)*(g + 2)**2/11
Suppose 4*i + 4*w = 24, -5*i + 30 = -w - 0*w. Suppose 9*v = i*v + 6. Factor -d**2 + 0*d**2 - 5*d**2 + 12*d - 8 + v*d**2.
-4*(d - 2)*(d - 1)
Let r(x) be the third derivative of -44*x**2 + 0 + 0*x - 1/60*x**6 - 11/12*x**4 - 1/5*x**5 - 2*x**3. Suppose r(i) = 0. What is i?
-3, -2, -1
Let u(h) be the first derivative of -8*h**6/15 + 156*h**5/25 + 282*h**4/5 + 1904*h**3/15 + 564*h**2/5 + 36*h - 2776. Solve u(k) = 0 for k.
-3, -1, -1/4, 15
Let z(l) be the first derivative of -2*l**2 - 67*l - 72. Let f be z(-18). Factor 0*r + 1/4*r**3 - 1/4*r**2 + 1/4*r**4 + 0 - 1/4*r**f.
-r**2*(r - 1)**2*(r + 1)/4
Let o be 1162/(-83) + (-2 - 304/(-18)). Find l such that o*l + 16/9 + 2/9*l**5 - 10/9*l**3 + 4/9*l**4 - 20/9*l**2 = 0.
-2, -1, 1, 2
Let v(d) = 21*d**3 + 19*d**2 + 24*d + 26. Let l(h) = -10*h**3 - 10*h**2 - 12*h - 12. Let m be (-783)/63 + (-16)/28. Let y(o) = m*l(o) - 6*v(o). Factor y(c).
4*c*(c + 1)*(c + 3)
Let x(f) = 28*f**2 + 16584*f + 5729788. Let j(h) = 9*h**2 + 5528*h + 1909929. Let v(n) = -16*j(n) + 5*x(n). Factor v(g).
-4*(g + 691)**2
Let o(t) be the third derivative of t**6/140 + 246*t**5/35 - 141*t**4/4 + 494*t**3/7 - t**2 - 145*t + 3. Determine b, given that o(b) = 0.
-494, 1
Suppose 0 + 3/4*n + 3/2*n**3 + 2*n**2 - 1/4*n**5 + 0*n**4 = 0. What is n?
-1, 0, 3
Let w(x) = 10*x**3 + 192*x**2 - 136*x + 144. Let u(v) = 2*v**3 + 36*v**2 - 27*v + 29. Let s(g) = -16*u(g) + 3*w(g). Find r such that s(r) = 0.
-4, 2
Let l(s) = 5*s**3 - 32*s**2 - 159*s + 1029. Let z be l(6). Suppose 80*c**z - 99*c**2 - 24*c**4 + 27 + 5/2*c**5 + 27/2*c = 0. What is c?
-2/5, 1, 3
Let v(a) be the first derivative of a**4 + 332*a**3/3 + 3952*a**2 + 40432*a + 1255. Factor v(d).
4*(d + 7)*(d + 38)**2
Let n(p) = 4*p**5 + 4*p**4 - 14*p**3 - 16*p**2 - 4*p. Let q = 544 - 542. Let a(r) = r**5 - r**4 - r**3 - 2*r. Let u(w) = q*a(w) - n(w). What is v in u(v) = 0?
-4, -1, 0, 2
Let d be 400/350*(22/44)/(3 + (-60)/21). Factor -2/5*p**d - 8/5*p**3 + 7/5*p - 2/5*p**2 + 1/5*p**5 + 4/5.
(p - 4)*(p - 1)*(p + 1)**3/5
Factor -515*c**2 - 16245*c - 6*c**3 - 623*c**2 - c**3 + 2*c**3 + 568*c**2.
-5*c*(c + 57)**2
Let z(o) be the first derivative of 36*o**2 - 37 + 2/3*o**3 - 74*o. Factor z(d).
2*(d - 1)*(d + 37)
Let t(g) = 22*g**3 - 12*g**2 - 21*g + 13. Let s be t(1). Suppose 0 + 2/7*c**s - 16/7*c = 0. Calculate c.
0, 8
Let w(x) be the second derivative of 11/18*x**3 + 0 + 2/9*x**4 + 4*x + 1/2*x**2. Suppose w(o) = 0. Calculate o.
-1, -3/8
Let l(p) be the third derivative of p**6/80 - 7*p**5/5 + 599*p**4/16 + 164*p**3 + 367*p**2 + 4. Suppose l(j) = 0. What is j?
-1, 16, 41
Suppose 0 = -755*o + 764*o - 81. Let m(b) = -b**2 + 5*b - 2. Let h be m(3). Solve n**h - 3 - 11*n**2 + o*n**2 + 1 + 3 = 0.
-1, 1
Factor -2342/9 + 2/9*o**2 + 260*o.
2*(o - 1)*(o + 1171)/9
Let b(q) = 4*q + 2. Let p be b(0). What is u in -27*u**4 - 10780*u - 5256*u**p - u**4 - 2744 + 972*u**2 - 156*u**3 - 440*u**3 = 0?
-7, -2/7
Factor 2/3*s - 2/21*s**3 + 4/21*s**2 + 8/21.
-2*(s - 4)*(s + 1)**2/21
Solve 191*f**2 - 222*f + 193 + 558 - 390*f**2 + 196*f**2 + 434 = 0 for f.
-79, 5
Solve 43*w**4 - 14*w**3 + 5*w**5 - 4*w**5 + 52*w**4 - 7*w**2 + 29*w**3 - 104*w**4 = 0 for w.
0, 1, 7
Suppose -1016*d = 31489 - 33521. Suppose -z = -4*z + 9. Solve -27/4*r**d + 9/2*r**z - 3/4*r**4 + 3*r + 0 = 0 for r.
0, 1, 4
Let k(n) = 4*n**2 + 6*n. Let x be k(3). Let a be 3*3/63 + x/14. Factor 5*r**2 + 91*r**5 - 181*r**5 - 5*r**3 - 6*r**4 + r**a + 95*r**5.
5*r**2*(r - 1)**2*(r + 1)
What is i in 135*i**2 + i**4 - 15*i**2 - 25*i**3 - 512*i + 37*i**2 + 480 + 29*i**2 - 4*i**2 = 0?
2, 4, 15
Determine d so that -148/3 + 24*d + 1/3*d**2 = 0.
-74, 2
Suppose -2*g = 3*g - j - 297, 3*g - 171 = 3*j. Let d be (3/9 - -1)/(4/g). Factor 4 - 4 - d*m + 0 + 4*m**2.
4*m*(m - 5)
Let z be 5934/215 - ((-12)/(-10))/(-3). Let a be (z/49)/(2/7). Solve 2/9*o**a + 0*o - 2/9 = 0 for o.
-1, 1
Suppose 247 - 238 = 3*c. Factor -4*x**c - 10*x**2 - 11*x**2 + x**2 + 6*x**3.
2*x**2*(x - 10)
Let z(c) be the first derivative of 4*c**3/15 + 166*c**2/5 - 336*c/5 + 1838. Factor z(i).
4*(i - 1)*(i + 84)/5
Let q(d) be the first derivative of d**3/9 - 31*d**2/3 + 61*d/3 - 3357. Factor q(i).
(i - 61)*(i - 1)/3
Suppose 0 = 6*a + a + 42. Let x be (-3)/(-18)*34 - (-4)/a. Factor -70*d + 60*d**2 + 1 - 10*d**3 + 1 - 5*d**4 - x + 28.
-5*(d - 1)**3*(d + 5)
Let q = -302 + 305. Let y(p) be the second derivative of -3/10*p**5 + 0 + q*p + 1/2*p**4 + 1/14*p**7 + 1/2*p**3 - 1/10*p**6 - 3/2*p**2. Factor y(v).
3*(v - 1)**3*(v + 1)**2
Suppose -21 = 2*j - 27. Let h be j + 6/42*-15. Suppose -10/7*y**2 - 2/7*y**3 