/2*a**2 + 0 - a + 2*a**g.
a*(a + 2)*(4*a - 1)/2
Let w(o) = 101*o**2 - 2696*o + 1822500. Let u(l) = 278*l**2 - 8089*l + 5467500. Let d(p) = 4*u(p) - 11*w(p). Factor d(j).
(j - 1350)**2
Factor 661 + 1556*n + 720 + 36*n**2 - 1037.
4*(n + 43)*(9*n + 2)
Let x(p) be the third derivative of 2*p**7/21 - 37*p**6/24 + 35*p**5/4 - 65*p**4/3 + 50*p**3/3 + 26*p**2 + 43*p. Suppose x(f) = 0. What is f?
1/4, 2, 5
Suppose 0 = -5*y + 3*b + 13, 4*y = -y - 2*b + 33. Suppose -f + 23 = -y. Suppose -2*u**5 - 6*u**4 - 14*u**2 + 10*u**3 - 4*u**4 - 4*u - f*u**3 = 0. Calculate u.
-2, -1, 0
Let w(u) be the second derivative of -8/7*u**2 - 11*u + 7 + 1/42*u**4 - 2/21*u**3. Suppose w(a) = 0. What is a?
-2, 4
Suppose -x - 31 = -4*r, -5*r + 5*x - 6488 + 6583 = 0. Let r*f - 2/3*f**2 + 0 = 0. Calculate f.
0, 6
Let w(a) be the third derivative of 223*a**2 - 2/45*a**4 + 1/450*a**5 + 0 - 4/15*a**3 + 0*a + 1/900*a**6. Factor w(t).
2*(t - 3)*(t + 2)**2/15
Let v(i) = i**2 - 1. Let a(g) = -7*g**2 - 10*g + 5. Let w = 50 + -45. Let y(r) = w*v(r) + a(r). Suppose y(q) = 0. Calculate q.
-5, 0
Factor -88209/4*d**3 + 593/4*d - 87615/4*d**2 - 1/4.
-(d + 1)*(297*d - 1)**2/4
Suppose 20 = -4*t - 20. Let n be (t + 7)/((-6)/16). Determine o so that -o**2 + 2*o - n*o - 4*o**2 + 7*o**2 = 0.
0, 3
Suppose -3*b + 5*b - 4*z + 244 = 0, -2*b - 2*z - 214 = 0. Let j be ((-84)/b)/((18/16)/3). Factor 4/5*w + 2/5*w**3 + 0 - 6/5*w**j.
2*w*(w - 2)*(w - 1)/5
Let z(g) be the second derivative of -g**7/84 - g**6/30 + 17*g**5/40 + 3*g**4/4 - 6*g**3 + 194*g - 4. Suppose z(m) = 0. Calculate m.
-4, -3, 0, 2, 3
Let v = -1077 + 82928/77. Let w = v - -19/11. Factor 4/7 + 8/7*j**2 - w*j.
4*(j - 1)*(2*j - 1)/7
Let b(z) be the first derivative of -3*z**4/20 + 21*z**3/5 + 114*z**2/5 - 288*z/5 + 2202. Determine p so that b(p) = 0.
-4, 1, 24
Let d = -1529953 - -1529955. Factor -8/7 - 4/7*n**3 - 2/7*n**4 + 8/7*n + 6/7*n**d.
-2*(n - 1)**2*(n + 2)**2/7
Let o = 337 + -338. Let p be 0/(o*(-2)/1 + -4). Suppose 0*b**2 - 1/6*b**5 + 0*b**3 + p*b + 0 + 1/6*b**4 = 0. Calculate b.
0, 1
Let q(u) be the first derivative of -1/12*u**3 + 34 + 0*u - 9/8*u**2. Suppose q(f) = 0. What is f?
-9, 0
Suppose -1/3*c**3 + 64/3*c - c**5 - 20/3 + 17/3*c**4 - 19*c**2 = 0. Calculate c.
-2, 2/3, 1, 5
Let s be ((-9)/6)/1*(-80)/(-24). Let c(p) = 13*p**3 - 40*p**2 + 5. Let r(q) = 19*q**3 - 60*q**2 + 7. Let x(a) = s*r(a) + 7*c(a). Let x(z) = 0. What is z?
0, 5
Let f(s) be the second derivative of -s**5/60 + s**4/6 + 2*s**3 + 32*s**2 + s - 15. Let m(g) be the first derivative of f(g). Suppose m(i) = 0. What is i?
-2, 6
Let a(t) = -4*t**3 - t. Let y(q) = -3*q**4 + 173*q**3 + 168*q**2 - 607*q - 624. Let z(p) = -5*a(p) - y(p). Solve z(l) = 0.
-2, -1, 2, 52
Let m(u) be the second derivative of -u**5/90 + 145*u**4/18 - 64*u**3 + 1724*u**2/9 - 10*u - 481. Factor m(k).
-2*(k - 431)*(k - 2)**2/9
Let h(f) be the third derivative of 34 + 0*f - 3/10*f**6 + 8/3*f**3 + 2*f**2 - 1/15*f**5 + 6*f**4. Suppose h(j) = 0. What is j?
-2, -1/9, 2
Let y(t) be the second derivative of t**5/30 - t**4/30 - 4*t**3/9 + 4*t**2/5 - 609*t. Determine x so that y(x) = 0.
-2, 3/5, 2
Let w(g) be the first derivative of -5/2*g**2 + 22/7*g + 91 + 1/7*g**3. Suppose w(h) = 0. What is h?
2/3, 11
Factor -2/11*y**3 - 768/11*y - 4608/11 + 8*y**2.
-2*(y - 24)**2*(y + 4)/11
Let g(j) be the first derivative of j**6/120 + 21*j**5/40 + 5*j**4/2 + 128*j**3/3 + 93. Let f(s) be the third derivative of g(s). Let f(t) = 0. Calculate t.
-20, -1
Let r(z) = -z**2 + 27*z - 69. Let m be r(23). Factor -11*f**3 + 0*f**2 + 12*f**2 - 8*f**3 + m*f**3.
4*f**2*(f + 3)
Let s(q) = -6*q**3 - 612*q**2 - 1184*q - 633. Let y(h) = 2*h**3 + 204*h**2 + 394*h + 212. Let z(c) = 4*s(c) + 11*y(c). What is g in z(g) = 0?
-100, -1
Let o = 501806 - 501804. What is n in 1/9*n - 10/3 + 1/9*n**o = 0?
-6, 5
Let m be (6984/(-8536))/(3/(-11)). Factor -2/7*i + 4/7*i**2 + 2/7*i**m - 4/7.
2*(i - 1)*(i + 1)*(i + 2)/7
Find h, given that 0 + 5*h**2 + 31/6*h + 1/6*h**5 - 5*h**4 - 16/3*h**3 = 0.
-1, 0, 1, 31
Let n(k) = k**2 + 8*k + 12. Let w(t) = t**2 - 2*t. Suppose 3*m + 2*y - 4*y = 12, 0 = 4*y. Let p(f) = m*w(f) - n(f). Factor p(o).
(o - 6)*(3*o + 2)
Suppose -4*q - s + 10 = 0, -16 = -7*q + 4*q - 5*s. Factor 0*m**2 - 200*m + 6 + 208*m + 2*m**q.
2*(m + 1)*(m + 3)
Let s(v) be the third derivative of v**5/120 - 17*v**4/6 - 29*v**2. Factor s(r).
r*(r - 136)/2
Determine w so that 153*w**2 + 426 - 204*w + 79*w**2 - 454 = 0.
-7/58, 1
Let c(t) = 17*t**3 - 231*t**2 - 256*t - 349. Let o(i) = -4*i**3 + 54*i**2 + 64*i + 87. Let m(f) = 3*c(f) + 13*o(f). Determine s so that m(s) = 0.
-3, -2, 14
Let d be ((-6)/(-18)*209 - -4) + -10 + (1 - -6). Solve d*a - 8 - 204*a**2 + 36*a**4 + 180*a**3 = 0.
-6, 1/3
Let s = -106 + 111. Let c be (-2)/8 + 102/(-24) + s. Determine f so that -1/6*f**5 + 0*f - c*f**3 - 1/2*f**4 + 0 - 1/6*f**2 = 0.
-1, 0
Let n be 168/15*(-5 + (-42)/(-8)). Let m = n + -32/15. Factor 2/3 + m*y**3 + 2*y**2 + 2*y.
2*(y + 1)**3/3
Determine l so that -120*l + 4 - 15*l**3 + 32 + 26*l**2 + l**2 + 54*l**2 = 0.
2/5, 2, 3
Let f be ((-3)/(9*4))/(((-26)/(-6))/(-13)). Let s(x) be the second derivative of f*x**4 + 0 + 1/2*x**3 + 1/2*x**2 + 1/20*x**5 + 3*x. Factor s(k).
(k + 1)**3
Factor -44*v**2 - 3600 + 2/3*v**3 + 840*v.
2*(v - 30)**2*(v - 6)/3
Suppose 513 = -34*l + 61*l. Factor 371*g**2 + 354*g**2 - 10*g**4 + 5*g**5 + 4*g**3 + 20*g - l*g**3 - 705*g**2.
5*g*(g - 2)**2*(g + 1)**2
Let y be (-67)/((-536)/240) + -25. Factor 2/9*s**4 + 0 - 4/9*s**3 + 0*s + 2/9*s**y + 0*s**2.
2*s**3*(s - 1)*(s + 2)/9
Let j = 142 + -137. Let d(l) be the second derivative of -1/110*l**j - 3/22*l**4 - 8/11*l**3 - 14*l + 0 - 16/11*l**2. Let d(u) = 0. Calculate u.
-4, -1
Suppose z + 6 = 4*z. Factor -35*c + 9*c**2 - c**z - 3*c**2.
5*c*(c - 7)
Let v(j) = -j**3 + 46*j**2 - 87*j - 27. Let l be v(44). Solve 1061*c**2 + l - 404*c - 21*c**2 + 23 - 100*c**3 = 0.
1/5, 10
Let o(y) = 13*y**3 - 1571*y**2 + 3135*y - 1565. Let i(h) = 15*h**3 - 1570*h**2 + 3135*h - 1565. Let g(l) = -4*i(l) + 5*o(l). What is p in g(p) = 0?
1, 313
Let c(r) = r - 1. Let x be -3*(-4 - (-78)/18). Let u(p) = 8*p**2 - 29*p + 3. Let v(g) = x*u(g) + 5*c(g). Suppose v(f) = 0. What is f?
1/4, 4
Let y be ((-1496)/252 - (-5 - 1))/((-28)/(-392)). Determine w so that -y*w**2 + 26/9*w - 2/3 = 0.
1/4, 3
Suppose 14727*f - 14745*f + 2 = -34. Find u, given that 37/5*u**4 - 2/5*u - 9/5*u**5 - 49/5*u**3 + 0 + 23/5*u**f = 0.
0, 1/9, 1, 2
Let g = -21633 - -66769/3. Let o = -13066/21 + g. Factor 4/7 - o*q - 1/7*q**3 + 5/7*q**2.
-(q - 2)**2*(q - 1)/7
Suppose -39*n + 504*n**2 + 30*n**5 - 3*n**5 - 42*n**3 - 19*n - 50*n - 15*n**3 - 114*n**4 = 0. Calculate n.
-2, 0, 2/9, 3
Let b = -165544 + 165546. Let 9/4*n + 3*n**4 - 17/2*n**b - 1/4*n**5 + 11/2 - 2*n**3 = 0. Calculate n.
-1, 1, 2, 11
Let p(m) be the second derivative of m**5/50 - 31*m**4/10 + 179*m**3/15 + 273*m**2/5 + 15128*m. Find o, given that p(o) = 0.
-1, 3, 91
Let q be (0 + (-1 - 0))/1. Let f be (9 - q)*140/40. Let 13*i - 128 - f*i - 10*i - 2*i**2 = 0. What is i?
-8
Let p = -79/54852 + -2095399751/1042188. Let d = p + 2013. Determine f so that -12/19 + d*f**2 - 10/19*f**4 + 14/19*f**3 + 10/19*f = 0.
-1, 2/5, 3
Factor 17*x**3 + 2624*x**2 + 2645*x**2 - 5223*x**2 + 8*x**3 + x**4.
x**2*(x + 2)*(x + 23)
Let n(g) be the second derivative of -5*g - 17/21*g**3 + 1/70*g**5 + 7 + 9/7*g**2 + 1/6*g**4. Suppose n(j) = 0. What is j?
-9, 1
Let u(q) be the first derivative of 3*q**4/8 + 3*q**3/2 - 27*q**2/2 - 60*q + 1211. Let u(m) = 0. Calculate m.
-5, -2, 4
Let z(j) be the third derivative of -j**5/20 + 56*j**4 + 8403*j**2. Factor z(n).
-3*n*(n - 448)
Let m(g) be the second derivative of -g**4/12 + 11*g**3/2 - 1399*g. Suppose m(z) = 0. Calculate z.
0, 33
Let k = -419 - -417. Let h(f) = f**2 - f - 1. Let i(t) = 3*t**2 + 3*t + 1. Let x(a) = k*i(a) + 2*h(a). Suppose x(u) = 0. Calculate u.
-1
Let m(a) be the second derivative of 13/15*a**3 + 25*a + 14/5*a**2 + 0 - 1/30*a**4. Determine o so that m(o) = 0.
-1, 14
Let g(y) be the second derivative of -y**6/165 - 19*y**5/110 - 10*y**4/11 - 1392*y. What is h in g(h) = 0?
-15, -4, 0
Factor -3/4*l**2 - 37/2 - 113/4*l.
-(l + 37)*(3*l + 2)/4
Let w be 6 + (-15)/6 + 4/(-8). Solve -6*b - 135*b**2 + 3*b - 240*b**4 + 552*b**w + 6 - 18*b + 0*b = 0.
-1/5, 1/4, 2
Let j(v) = -v**2 