*g + 8532/11 - 2/11*g**3.
-2*(g - 474)*(g - 3)**2/11
Suppose 20 = 2*x - 5*g, x + g - 34 = -17. Let s be (x/(-9))/(85/(-34)). Factor -s*k + 1/3*k**2 - 1.
(k - 3)*(k + 1)/3
Let s be (-3 - 0)*2*130/(-20). Factor -s*b**2 + 13 - 71 + 171*b + 17 - 43 + 3*b**3 - 51*b**2.
3*(b - 28)*(b - 1)**2
Let r(i) = i**3 + 3*i**2. Let d(x) = -12*x**3 - 58*x**2 + 62*x - 32. Suppose 5*t + 21 = 26*t. Let v(o) = t*d(o) + 10*r(o). What is m in v(m) = 0?
-16, 1
Let z = -673 - -673. Let g be 27*((-10)/(-45) + z). Factor 3/2*p**4 - g*p**3 - 6 + 9/2*p**2 + 6*p.
3*(p - 2)**2*(p - 1)*(p + 1)/2
Let s = 21873/2366 + 435/2366. Factor -4*y + 2/7*y**2 + s.
2*(y - 11)*(y - 3)/7
Factor 711*q + 4*q**2 - 701*q + 0*q**2 - 522*q.
4*q*(q - 128)
Let p be ((-387)/(-36) - 7)*(-19)/((-152)/(-16)) - -11. Factor 5/2*l + p*l**2 - 1.
(l + 1)*(7*l - 2)/2
Let q be -24*(-88292)/52 - 7. Let t = q + -40721. Solve t + 2/13*l**2 + 48/13*l = 0 for l.
-12
Let h(k) be the second derivative of -k**5/80 + 13*k**4/48 - 23*k**3/12 + 6*k**2 - 6*k - 12. Factor h(v).
-(v - 8)*(v - 3)*(v - 2)/4
Let w(i) be the second derivative of -7 + 0*i**2 + 1/10*i**5 - 5/6*i**4 + 4/3*i**3 + 3*i. What is q in w(q) = 0?
0, 1, 4
Suppose -5*m + 11 - 27 = -3*n, -m - 27 = -4*n. Suppose -53 + 32 = -n*s. Solve 0 - 6/5*w**2 + 2/5*w**s + 4/5*w = 0 for w.
0, 1, 2
Let w(q) be the third derivative of q**7/1050 - 29*q**6/600 + 9*q**5/10 - 35*q**4/6 - 100*q**3/3 + 351*q**2 + 3*q. What is o in w(o) = 0?
-1, 10
Let o(u) be the second derivative of -u**7/168 + u**6/24 + u**5/24 - 5*u**4/8 - 121*u**3/6 - 260*u. Let i(f) be the second derivative of o(f). Factor i(w).
-5*(w - 3)*(w - 1)*(w + 1)
Suppose 0 = m + 4*m - 60. Let n(b) = b + 8. Let l be n(m). Find o such that o - 3*o**2 - 2*o**2 + 19*o + 0*o**2 - l = 0.
2
Let k(y) = 74*y + 10. Let s be k(-2). Let v = -133 - s. Determine w, given that 0 - 3/4*w**3 + 3/4*w**v + 0*w + 3/4*w**2 - 3/4*w**4 = 0.
-1, 0, 1
Let q(f) be the second derivative of -f**6/10 - 1683*f**5/5 - 944163*f**4/2 - 353116962*f**3 - 297147923523*f**2/2 + 3955*f. Find x such that q(x) = 0.
-561
Let r(o) be the first derivative of -o**4/14 + 418*o**3/21 + 634*o**2/7 + 848*o/7 + 2052. Factor r(m).
-2*(m - 212)*(m + 1)*(m + 2)/7
Suppose -22*g = -16*g - 12. Suppose 3*v - 5*x + x - 22 = 0, -2*x + g = 5*v. Factor 1/4*t - 1/4*t**3 + 1/2*t**v - 1/2.
-(t - 2)*(t - 1)*(t + 1)/4
Let i(j) = -8*j**2 + 13390*j + 22646460. Let w(g) = 3*g**2 - 6702*g - 11323229. Let z(b) = -6*i(b) - 15*w(b). Factor z(q).
3*(q + 3365)**2
Let y(b) be the third derivative of 0 + 0*b**3 + 33*b - 11/60*b**4 - 1/150*b**5 - 2*b**2. Let y(z) = 0. Calculate z.
-11, 0
Let o = 4446 + -22227/5. Let n(b) be the first derivative of 0*b - 1/5*b**3 + 15 - o*b**2. Suppose n(d) = 0. Calculate d.
-2, 0
Factor -2/3*r**3 + 3121792000/3 + 2320*r**2 - 2691200*r.
-2*(r - 1160)**3/3
Let u(z) be the second derivative of -z**8/5880 - z**7/2940 + z**6/1260 + z**5/420 - 19*z**3 - 3*z - 5. Let n(p) be the second derivative of u(p). Factor n(l).
-2*l*(l - 1)*(l + 1)**2/7
Let k be 72/(-5)*(-65)/39. Factor -y**3 - 21*y - 15188 + 15188 + k*y**2 - 2*y**3.
-3*y*(y - 7)*(y - 1)
Let n(o) = 196*o - 95*o + o**2 - 96*o + 6. Let t be n(-4). Solve 7*b**3 - 3*b**3 + 0*b**3 - 72 - 18*b**t - 14*b**2 + 84*b = 0 for b.
2, 3
Let y be 0 - 0 - (-1)/10*2. Let v = 1855 - 1852. Determine n so that 1/2*n**2 + 1/10*n**4 + 0 - y*n - 2/5*n**v = 0.
0, 1, 2
Let j(v) be the third derivative of 0*v + 311/150*v**6 + 243/20*v**4 + 2 - 56*v**2 + 0*v**3 + 1/840*v**8 - 234/25*v**5 + 52/525*v**7. Factor j(i).
2*i*(i - 1)**2*(i + 27)**2/5
Solve 67*q**2 - 1/2*q**5 - 1/2*q + q**3 - 67/2 - 67/2*q**4 = 0.
-67, -1, 1
Let z(u) be the third derivative of -u**8/560 + 229*u**7/1050 + 79*u**6/300 - 51*u**5/50 - 31*u**4/24 + 77*u**3/30 - 246*u**2 + 11. Let z(b) = 0. Calculate b.
-1, 1/3, 1, 77
Let r = 411689/4 - 102920. Find h such that -r*h + 3/2 + 0*h**2 + 3/4*h**3 = 0.
-2, 1
Solve -92/13*y**3 - 184/13*y**2 + 2/13*y**5 - 150/13*y - 12/13*y**4 - 44/13 = 0 for y.
-2, -1, 11
Let h(i) = 64*i**4 - 132*i**3 + 62*i**2 + 62*i - 62. Let y(w) = w**4 - 2*w**3 + w**2 + w - 1. Let g(q) = -2*h(q) + 124*y(q). Solve g(m) = 0.
0, 4
Let r(c) be the first derivative of 1600/3*c - 760/3*c**2 - 28 - 1/12*c**4 - 79/9*c**3. Factor r(x).
-(x - 1)*(x + 40)**2/3
Let b(r) = -8*r - 92. Let m be b(-12). Factor -20*h**m - 24*h**3 - 27*h**3 + 31*h**3 + 35*h**2 - 10*h.
-5*h*(h + 2)*(2*h - 1)**2
Let k be (-2)/(-4) - (-19)/2. Let t = 15583/9213 + -76/3071. What is q in -2 - k*q**2 + 2*q**4 - t*q**3 - 25/3*q = 0?
-1, -2/3, -1/2, 3
Let u(k) be the second derivative of k**8/20 + k**7/105 - 4*k**6/45 - 41*k**3/6 - 62*k. Let z(r) be the second derivative of u(r). Find d such that z(d) = 0.
-2/3, 0, 4/7
Suppose 0 = o + 2*h - 11, o + 3*h + 13 = 7*h. Suppose -8*z + 37 = -4*y - 13*z, 3*z + 29 = y. Factor -12*g + 243/2*g**o + y - 27/2*g**2.
(3*g + 1)*(9*g - 2)**2/2
Let b(l) be the second derivative of 38*l**7/21 + 673*l**6/30 + 1951*l**5/20 + 579*l**4/4 - 117*l**3/2 - 27*l**2 - 671*l. Suppose b(a) = 0. What is a?
-3, -2/19, 1/4
Let y(z) be the first derivative of -z**6/18 - 2*z**5/3 + 47*z**4/12 + 40*z**3 - 216*z**2 - 758. Find l, given that y(l) = 0.
-9, 0, 4
Let f(c) = -5 + 282*c + 5*c**2 + 5 - 241*c. Let i(n) = -6*n**2 - 42*n. Let h(a) = -3*f(a) - 2*i(a). What is y in h(y) = 0?
-13, 0
Let i = -362/25 - -527/25. Factor 24/5*y**2 - i*y + 9/5.
3*(y - 1)*(8*y - 3)/5
Let i(a) be the third derivative of 27*a**8/112 + 111*a**7/70 + 37*a**6/40 - 167*a**5/20 - 5*a**4/2 + 6*a**3 + 109*a**2 - 3*a. Let i(v) = 0. What is v?
-3, -2, -1/3, 2/9, 1
Let b = 196 - 180. Find t, given that 8 - 4*t**3 + 2*t**5 + 2*t**2 + b*t - 8*t**3 - 15*t**3 + 17*t**3 - 2*t**4 = 0.
-1, 2
Suppose 1368/7*k - 1360/7 - 6/7*k**3 + 1012/7*k**2 = 0. Calculate k.
-2, 2/3, 170
Let j = -102 - -68. Let c = j + 37. Suppose 4*a**2 + 12*a**c - 2*a - 3*a**4 + 8*a - 19*a**2 = 0. Calculate a.
0, 1, 2
Factor -342*a + 1028/3 - 2/3*a**2.
-2*(a - 1)*(a + 514)/3
Find y such that 969*y**3 + 450*y**2 + 977*y**3 + 0*y + 0*y - 1941*y**3 = 0.
-90, 0
Let d be (-2)/36 + (-951)/135. Let j = d - -943/130. Let -2/13*i**5 + 2/13*i**3 + 0*i - j*i**4 + 2/13*i**2 + 0 = 0. What is i?
-1, 0, 1
Let i(b) = 6*b + 106. Let h be i(-26). Let g be (-18)/h*(-10)/(-6). Determine m, given that -12/5*m**2 - 3*m - 6/5 - g*m**3 = 0.
-2, -1
Factor -55*x**2 + 0*x**4 - 669*x**3 + 699*x**3 + 18*x + 12*x - 5*x**4.
-5*x*(x - 3)*(x - 2)*(x - 1)
Let t = 986491/29220 + -79/7305. Factor -3/4*v**2 + 33*v + t.
-3*(v - 45)*(v + 1)/4
Let r(m) = -m**2 - 415*m - 42673. Let k be r(-227). Factor -3/7*f + 3/7*f**4 + 3/7*f**k + 6/7 - 9/7*f**2.
3*(f - 1)**2*(f + 1)*(f + 2)/7
Factor -2163*d**2 - 47250 + 1711*d - d**4 + 58*d**2 + 160*d**2 - 59*d**3 - 14536*d + 640*d**2.
-(d + 14)*(d + 15)**3
Let b(c) = 6*c + 111. Let p be b(-18). Let 3*i**3 + 102 - i**2 + 0*i**p - 3*i - 53*i**2 + 24*i + 24*i = 0. What is i?
-1, 2, 17
Let k(a) = -9*a**2 - 756*a + 6. Let i(g) = 22*g**2 + 1517*g - 14. Let n(h) = 3*i(h) + 7*k(h). Factor n(j).
3*j*(j - 247)
Let n(f) be the third derivative of -f**7/840 - f**6/18 - 5*f**5/6 + 63*f**3/2 + 95*f**2. Let p(b) be the first derivative of n(b). Let p(h) = 0. Calculate h.
-10, 0
Let u be (20/(-16))/(5/(-20)). Factor 156/5*w**3 + 44/5*w**2 + 164/5*w**4 - 4/5*w + 0 + 56/5*w**u.
4*w*(w + 1)**3*(14*w - 1)/5
Let q(i) be the first derivative of 0*i + 6*i**2 - 20*i**3 - 82 + 39/4*i**4 + 36/5*i**5. Find p such that q(p) = 0.
-2, 0, 1/4, 2/3
Let a(l) be the second derivative of 0 + 1/30*l**3 + 6*l**2 + 3*l - 1/300*l**5 + 0*l**4. Let b(s) be the first derivative of a(s). Suppose b(f) = 0. What is f?
-1, 1
Let d(i) be the third derivative of -i**8/1176 - 26*i**7/245 - 151*i**6/420 + 13*i**5/35 + 38*i**4/21 - i**2 - 551*i. Suppose d(b) = 0. Calculate b.
-76, -2, -1, 0, 1
Let f be (-30)/(-24) - (-6)/8. Suppose 6 + 72*n**4 - 12*n**4 + 95*n**5 - 71*n**5 - 39*n**f - 3*n + 6*n**3 = 0. Calculate n.
-2, -1, -1/2, 1/2
Let q(t) be the second derivative of t**5/110 - 5*t**4/33 + 16*t**3/33 - 897*t. Factor q(g).
2*g*(g - 8)*(g - 2)/11
Let p(r) = -11*r**2 - 13*r + 6. Let h be (1 - -1)/(-1*16/(-56)). Let q(x) = -24*x**2 - 27*x + 11. Let c(d) = h*p(d) - 4*q(d). Determine a, given that c(a) = 0.
-1, 2/19
Let l be (-16)/6*(-1677)/172. Let x(a) be the first derivative of l + 0*a + 2/3*a**