6/3*m**o + v*m**3 - 12*m**4 + 0*m.
4*m**2*(m - 2)**2*(2*m - 1)/3
Let r = -448 + 349. Let z be (-27)/r - (-4)/66. Solve 2/3 - c + z*c**2 = 0 for c.
1, 2
Let s(q) = -q - 4. Let i be s(-6). Let l be 30 - 5513/(-2220)*-12. Factor 0*h + 0 + l*h**i.
h**2/5
Suppose -2*r - 6*n = -8*n + 20, -52 = -13*n + 9*n. Factor 15*x**2 - 5/4*x**r + 0*x + 0.
-5*x**2*(x - 12)/4
Let c = -33 - -39. Suppose 28 = a + c*a. Factor -79*l - 144*l**2 - 39*l**3 - l**3 + 0*l**a - 108 - 137*l - 4*l**4.
-4*(l + 1)*(l + 3)**3
Let c be -33 + (-24700)/(-304) + -48. Factor 0*x**2 + 9/2*x**3 + 0 - 2*x**4 - 27/4*x + c*x**5.
x*(x - 3)**3*(x + 1)/4
Suppose -2*s + 4*n = -10, 0 = -16*s + 12*s + n + 20. Let f be 44/s + 0 - (-300)/(-50). Factor f*w + 12/5 + 2/15*w**3 + 16/15*w**2.
2*(w + 2)*(w + 3)**2/15
Let i be (45/(-25) - -3)/(1/(-15)). Let z(j) = -243*j**3 + 216*j**2 - 66*j - 18. Let q(d) = d + 1. Let f(s) = i*q(s) - z(s). Find h such that f(h) = 0.
0, 4/9
What is y in -9*y**3 - y**3 + 110 - 6221*y**2 + 325*y + 6426*y**2 = 0?
-1, -1/2, 22
Factor 168*n + 90*n**2 + 39/2*n**3 + 3/2*n**4 + 96.
3*(n + 1)*(n + 4)**3/2
Let z(t) = -35*t**3 - 1540*t**2 + t + 46. Let w be z(-44). Determine v, given that 1/4*v**3 + 1/2*v**2 - w - v = 0.
-2, 2
Let f = -364826 - -364831. Suppose -3 = -2*v + 1. Let 0 + 16/3*q + 52/3*q**3 + 4/3*q**f - 16*q**v - 8*q**4 = 0. Calculate q.
0, 1, 2
Let d(b) be the second derivative of 3*b**5/20 - b**4 - 105*b**3/2 + 162*b**2 - 2838*b - 1. Suppose d(p) = 0. Calculate p.
-9, 1, 12
Let r(j) be the first derivative of -j**6/6 - 21*j**5/5 - 71*j**4/4 - 17*j**3 - 7465. Let r(k) = 0. What is k?
-17, -3, -1, 0
Let w(s) be the third derivative of -s**7/15 - 5*s**6/12 + s**5/30 + 49*s**4/12 + 10*s**3 - 6485*s**2. Find f, given that w(f) = 0.
-3, -1, 10/7
Let t(k) = 181*k - 22*k**2 + 0 - 126*k + 152*k + 0. Let o(s) = -204*s**2 + 1864*s. Let g(y) = 3*o(y) - 28*t(y). Let g(w) = 0. What is w?
0, 51
Let i(g) be the third derivative of -16/3*g**3 + 1/3*g**4 + 0 - 1/15*g**6 + 3/5*g**5 - 2/105*g**7 + 21*g**2 + 2*g. Find w such that i(w) = 0.
-4, -1, 1, 2
Let z(m) be the third derivative of -m**8/280 + 13*m**7/105 - 13*m**6/100 - 13*m**5/30 + 7*m**4/10 - 4159*m**2. Determine l, given that z(l) = 0.
-1, 0, 2/3, 1, 21
Let k(q) = 14*q**2 - 4*q**4 + 20*q + 2*q**2 - 20*q**3 + 7*q**4 - 8 + 15*q**4 - 2. Let b(d) = 2*d**4 + 1. Let h(s) = 8*b(s) - k(s). Factor h(j).
-2*(j - 9)*(j - 1)**2*(j + 1)
Find t, given that 6/13*t**3 + 776/13*t**2 + 1782/13*t + 508/13 = 0.
-127, -2, -1/3
Suppose 0 = -116*m + 132*m. Suppose 9*v + 53 - 71 = m. Let 3/4*n**5 - 3*n**2 - v*n + 15/2*n**3 - 17/4*n**4 + 0 = 0. What is n?
-1/3, 0, 2
Let s = 1144/9 + -127. Let g(o) = -o**3 - 37*o**2 + 130*o + 403. Let a be g(-40). Determine b, given that -1/9*b**2 - s*b**4 + 0*b + 2/9*b**a + 0 = 0.
0, 1
Suppose -u - 88 + 50 = 0. Let i = 41 + u. Factor -10 - 9*h + 2*h**i - 6*h**2 - 19*h + 10*h.
2*(h - 5)*(h + 1)**2
Let d(l) = 44*l + 6295. Let y be d(-143). What is b in 0*b**4 - 16/3*b**2 - 4*b**y - 2*b + 2/3*b**5 + 0 = 0?
-1, 0, 3
Factor -2/17*l**4 + 18/17*l + 0 - 6/17*l**2 - 10/17*l**3.
-2*l*(l - 1)*(l + 3)**2/17
Let v be (-32)/(-6)*(36 - 30). Factor -81*a**2 - 228 + 3*a**3 - 2173 + 182 + v + 729*a.
3*(a - 9)**3
Let j be -11 + 0 + 3 - (29 - (-3658)/(-93)). Let w(q) be the second derivative of -10*q**3 + 18*q**2 - 23*q - 1/5*q**5 + 0 + j*q**4. Solve w(k) = 0.
1, 3
Let q be (-32 + 17)*(-1)/(-3) - -7. Find x, given that -4522*x + 5*x**2 - x**q + 4574*x = 0.
-13, 0
Let h(k) = 10*k + 144. Let o be h(-14). Factor x**2 - 3 + 6*x**3 - 15*x**2 + 4*x + 40*x**4 - 38*x**o + 39 - 34*x.
2*(x - 2)*(x - 1)*(x + 3)**2
Let a(b) = b**4 - b. Let r(q) = q - 8*q**2 + q**2 - 5*q**2 + 11*q**2. Let k(z) = a(z) + r(z). Factor k(v).
v**2*(v - 1)*(v + 1)
Let g(v) be the third derivative of v**7/945 + v**6/135 + v**5/135 - v**4/27 - v**3/9 + 288*v**2 + 2. Factor g(p).
2*(p - 1)*(p + 1)**2*(p + 3)/9
Let j(v) = -v + 6. Let u be j(2). Suppose 2*g + 442 = u*z, -5*z = -2*g + 6*g - 572. Factor -41*w - 26 + 94*w + z*w - 19 + 15*w**3 - 95*w**2.
5*(w - 3)**2*(3*w - 1)
Let o(p) = 4*p**3 + 4*p**2 - 14*p + 36. Let a(i) = -17*i**3 - 14*i**2 + 57*i - 156. Let y(j) = 6*a(j) + 26*o(j). What is r in y(r) = 0?
-11, 0, 1
Let o(t) = 277*t**2 + 131*t + 4. Let f(m) = 139*m**2 + 63*m + 2. Let k(l) = -5*f(l) + 2*o(l). Suppose k(u) = 0. Calculate u.
-1/3, -2/47
Let h = 20473/81988 + 6/20497. Factor 3/2*j**2 + 0 - h*j**4 - 1/4*j**3 + 0*j.
-j**2*(j - 2)*(j + 3)/4
Suppose 13*u - 3*u + 40 = 0. Let x(y) = -y**2 - 8*y - 11. Let r be x(u). Factor -5*k**r - 2*k**3 + 4*k**2 - 2*k**3 + 2*k**5 - 4*k**4 + 7*k**5.
4*k**2*(k - 1)**2*(k + 1)
Let i(y) be the third derivative of 2*y**7/525 - y**6/75 - 59*y**5/75 + 28*y**4/5 + 6144*y**2. Find q such that i(q) = 0.
-8, 0, 3, 7
Let j(d) be the second derivative of -d**5/4 - 305*d**4/12 + 815*d**3/3 - 660*d**2 - 1832*d. Factor j(t).
-5*(t - 4)*(t - 1)*(t + 66)
Let h = 47 + -44. Let g be 9*5/15 - h. Factor g*n - 67*n**2 + 3*n + 70*n**2 - 6.
3*(n - 1)*(n + 2)
Let j(y) be the second derivative of 5*y**4/12 - 160*y**3 + 950*y**2 - 144*y - 3. Determine d, given that j(d) = 0.
2, 190
Suppose 4*k = 3*k - 2, -2*o - 2*k = 42. Let p = o - -21. Factor i**4 - i**4 - i**4 + 3*i**p - 2*i.
-i*(i - 1)**2*(i + 2)
Suppose -b + 7 = 4*u, 3*u + 2*b = -0 + 9. Let j be (10/270)/(u/12). Factor -2/9*c**3 - j*c**4 + 0 + 0*c + 2/9*c**2.
-2*c**2*(c + 1)*(2*c - 1)/9
Suppose -4*c + 5*c - 6 = -2*q, 0 = c + 3*q - 8. Factor c*f**4 - 13*f**2 - 26*f**2 - 4*f - 163*f**3 - 110*f**4 + 19*f**3 + f.
-3*f*(f + 1)*(6*f + 1)**2
Let x(w) = -3*w**2 + 24*w - 201. Let q(f) = 8*f**2 - 47*f + 399. Let b(m) = 3*q(m) + 7*x(m). Find n such that b(n) = 0.
-14, 5
Let w(v) be the first derivative of v**5/20 - v**3 + 2*v**2 + 1674. Solve w(c) = 0.
-4, 0, 2
Let z = -1050 + 1053. Suppose z*j = -22*j + 100. Let 3/2*s - 3/4*s**5 + 0 + 3/4*s**j + 9/4*s**3 - 15/4*s**2 = 0. What is s?
-2, 0, 1
Let m(d) be the second derivative of -d**10/2520 + d**9/336 - 3*d**8/560 - d**7/210 + 97*d**4/6 - 181*d. Let w(p) be the third derivative of m(p). Factor w(j).
-3*j**2*(j - 2)**2*(4*j + 1)
Factor 0 - 990/7*r - 9/7*r**3 - 2973/7*r**2.
-3*r*(r + 330)*(3*r + 1)/7
Let s be 0 + 0 + -5 - -6. Let n be -7 + s/(49/721). Factor -n*k + 12/7 + 36/7*k**4 - 6/7*k**5 + 96/7*k**2 - 12*k**3.
-6*(k - 2)*(k - 1)**4/7
Let b be 2/8 - (-1130)/(-40). Let l = 32 + b. Let a + l*a - a + 9 + a**2 + 2*a = 0. What is a?
-3
Let s(h) = 2*h**3 + 10*h**2 + 5*h + 32. Let q be s(-5). Let -7*f**2 + 12*f**2 + f**3 + q*f**2 - 3*f**3 = 0. What is f?
0, 6
Let t(j) = 2*j**3 - 351*j**2 - 165*j - 1934. Let g be t(176). Factor 3/4*h**3 - 9/2*h + 0 + 25/4*h**g.
h*(h + 9)*(3*h - 2)/4
Let f be 1/3 + (-20)/(-12). Solve 2 - 17*z - 7*z**4 - 19*z**f - 138*z**3 + 26*z**4 + 155*z**3 - 2*z**2 = 0.
-1, 2/19, 1
Suppose 2*z - 4 = -4*h, -5 = 4*z - 38*h + 33*h. Let p(u) be the second derivative of 26/21*u**4 + 3*u + z + 4/35*u**5 + 1/2*u**2 - 55/42*u**3. Factor p(y).
(y + 7)*(4*y - 1)**2/7
Let b(y) be the third derivative of y**7/42 + 5*y**6/12 + 3*y**5/4 - 556*y**2. Factor b(l).
5*l**2*(l + 1)*(l + 9)
Let t = -1/31429 + 94291/125716. Factor 0 - 1/4*d**3 - d**2 - t*d.
-d*(d + 1)*(d + 3)/4
Let k = 1705206/271285 - -2/38755. Factor k*g + 72/7 + 4/7*g**2.
4*(g + 2)*(g + 9)/7
Suppose -3*u - 78*d = -73*d + 31, 0 = 5*d + 40. Factor 4/7*k + 54/7*k**u + 2*k**5 + 26/7*k**2 + 46/7*k**4 + 0.
2*k*(k + 1)**3*(7*k + 2)/7
Factor -362/7*z + 90/7 + 8/7*z**2.
2*(z - 45)*(4*z - 1)/7
Let g(w) be the first derivative of 1/60*w**5 + 0*w + 0*w**2 + 0*w**4 + 1/900*w**6 + 11*w**3 - 9. Let p(s) be the third derivative of g(s). Factor p(x).
2*x*(x + 5)/5
Let j(x) be the first derivative of x**4/10 - 1444*x**3/5 + 1563852*x**2/5 - 752734096*x/5 - 7744. Factor j(t).
2*(t - 722)**3/5
Let a = 563 + -547. Suppose 4*x - 22*w = -17*w + 33, -2*w - a = -3*x. Solve 0 - 2/3*l**x + 2/3*l = 0 for l.
0, 1
Let x = 63606 - 63602. Solve 0*r**2 + 0 - 36/11*r**x + 0*r - 1/11*r**3 = 0.
-1/36, 0
Let c = 210833/316254 + 1/105418. Factor 4/9*a + 2/9*a**2 - c.
2*(a - 1)*(a + 3)/9
Suppose -10 = -y - 6. Factor 64 + 96*t - 39*t**3 - 69*t**3 - 99*t**2 - 9*t**2 + 597*t**4 - 516*t**y.
(3*t - 4)**2*(3*t + 2)**2
Let y(n) be the third derivative of -1/540*n**6 + 0 + 3*n**2 - 17*n + 16/27*n**3 - 7/270*n**5 - 2/27*n**4. Determine w so that y(w) = 