ive of 3/2*f**4 - 5*f - 2/3*f**3 + 1/5*f**6 + 0*f**2 + 18 - f**5. Let o(r) be the first derivative of z(r). Factor o(m).
2*m*(m - 2)*(m - 1)*(3*m - 1)
Let u = -269/229 + -212399/4580. Let d = 203/4 + u. Solve -d*k**2 - 28/5*k + 8/5 = 0.
-2, 1/4
Let z(a) be the third derivative of 11/45*a**4 - 1/450*a**5 + 58*a**2 + 0*a + 0 - 484/45*a**3. Factor z(b).
-2*(b - 22)**2/15
Let r(m) = -m**2 + m + 1. Let o(a) = 14*a - 442 - 6*a**2 - 4*a**2 - 66*a. Let f be (6/8)/((-45)/120)*(6 - 2). Let q(d) = f*r(d) + o(d). Let q(g) = 0. What is g?
-15
Suppose -h - n = 10, 63*h + 4*n = 157*h - 236. Factor 2/9*a**4 + 14/9 + 4/3*a**3 - 4/3*a - 16/9*a**h.
2*(a - 1)**2*(a + 1)*(a + 7)/9
Determine w, given that 15*w**2 + 62*w**2 + 846 + 19*w**2 + 77*w**3 - 80*w**3 - 924*w + 1506 = 0.
4, 14
Let b(j) be the second derivative of 44*j - 8/7*j**2 + 243/70*j**5 - 45/7*j**4 + 4*j**3 + 0. Factor b(d).
2*(3*d - 2)*(9*d - 2)**2/7
Let h(t) be the first derivative of -2*t**6/3 - 16*t**5/5 + 16*t**4 + 184*t**3/3 - 126*t**2 - 360*t - 4247. Let h(y) = 0. Calculate y.
-5, -3, -1, 2, 3
Let p(c) be the second derivative of 0*c**3 + 0 + 0*c**2 + 3/10*c**6 - 1/14*c**7 - 9/20*c**5 + 1/4*c**4 - 178*c. Let p(u) = 0. What is u?
0, 1
Factor 2 - 77*f**2 + 13*f + 73*f**2 - 18*f + 3*f**3.
(f - 2)*(f + 1)*(3*f - 1)
Let f = -162 - -164. Factor -27*s**3 - 162 - 102 + 1369*s**2 - 12 - 2026*s**f - 840*s.
-3*(s + 23)*(3*s + 2)**2
Factor 2716*j**2 + 285*j - 143 - 1361*j**2 + 1007 - 1356*j**2.
-(j - 288)*(j + 3)
Let m(l) be the second derivative of 13/21*l**4 + 1/42*l**5 + 0 - 128/21*l**2 + 32/7*l**3 + 29*l. Factor m(j).
2*(j + 8)**2*(5*j - 2)/21
Let r = 52/30271 - -362992/151355. Suppose r*h - 3/5*h**4 + 0 + 12/5*h**2 - 3/5*h**3 = 0. What is h?
-2, -1, 0, 2
Suppose 0 = -6*u + 5*u - 4, -2*x - 3*u + 2 = 0. Suppose -x*o + 43 = 1. Suppose 3*h - 19*h**5 + 6*h**4 - o*h**3 + 13*h**5 + 9*h**5 + 6 - 12*h**2 = 0. What is h?
-2, -1, 1
Let x(z) = -255*z**2 + 10195*z - 3530. Let s(f) = -45*f**2 + 1800*f - 623. Let k(j) = 40*s(j) - 7*x(j). Find r, given that k(r) = 0.
1/3, 42
Let k(a) = -11*a + 20. Let l be k(0). Let q(z) = z**3 - z. Let y(n) = 12*n**4 - 44*n**2 - 32*n. Let c(r) = l*q(r) - y(r). Solve c(f) = 0 for f.
-1, -1/3, 0, 3
Let n(x) be the third derivative of x**7/350 - 2*x**6/25 + 39*x**5/100 + 10*x**4 - 160*x**3 + 2*x**2 + 58*x + 18. Factor n(h).
3*(h - 8)**2*(h - 5)*(h + 5)/5
Suppose -1/4*b**5 + 100 + 20*b - 74*b**2 - 23/4*b**4 - 40*b**3 = 0. Calculate b.
-10, -2, 1
Suppose -2*o = 20 - 64. Let 22 - 3*k**3 - 9*k**2 - 3*k**5 + 6*k - o + 9*k**4 + 0*k**5 = 0. Calculate k.
-1, 0, 1, 2
Let d(n) be the first derivative of n**6/120 - n**4/2 - 8*n**3/3 - 59*n**2/2 - 12. Let g(j) be the second derivative of d(j). Factor g(i).
(i - 4)*(i + 2)**2
Let b(g) be the second derivative of -5*g**4/72 - 13*g**3/9 - 6*g - 53. Factor b(j).
-j*(5*j + 52)/6
Let m(x) = x**2 - 74*x - 30611. Let k be m(-143). Factor k*h - 1960/3 + 5/3*h**3 - 50*h**2.
5*(h - 14)**2*(h - 2)/3
Let q(m) be the second derivative of 1/5*m**5 + 0 - 42*m + 0*m**2 + 1/126*m**7 + 0*m**3 + 1/15*m**6 + 2/9*m**4. Let q(s) = 0. What is s?
-2, 0
Let s(y) be the first derivative of -1/42*y**6 - 44/21*y**3 - 10/7*y**4 - 11/35*y**5 + 16/7*y**2 + 92 + 64/7*y. What is p in s(p) = 0?
-4, -2, 1
Let g be (-28)/1 + (-13)/(26/(-8)). Let t be 20/g - 2943/(-2754). Factor 0 - t*c**3 - 2/17*c**4 + 0*c**2 + 0*c.
-2*c**3*(c + 2)/17
Let s(z) be the third derivative of -z**7/210 - 14*z**6/5 - 14927*z**5/30 - 11410*z**4 - 664225*z**3/6 + 8549*z**2. Suppose s(t) = 0. Calculate t.
-163, -5
Determine k so that 461119 + 899171 + 1607798 - 6840*k + k**2 - 43988 + 3*k**2 = 0.
855
Let q(j) = 85*j**4 + 815*j**3 + 2300*j**2 + 1345*j + 25. Let w(k) = -7*k**4 - 68*k**3 - 191*k**2 - 112*k - 2. Let y(z) = -2*q(z) - 25*w(z). Factor y(o).
5*o*(o + 1)*(o + 2)*(o + 11)
Suppose 9*v + 1894 = 4*v + 1919. Let n(y) be the third derivative of -1/30*y**v + 0*y - 1/90*y**6 - 17*y**2 + 2/9*y**4 - 4/9*y**3 + 0 + 1/315*y**7. Factor n(f).
2*(f - 2)*(f - 1)**2*(f + 2)/3
Let k(d) be the third derivative of d**7/1890 - 13*d**6/270 + 169*d**5/90 - 11*d**4/8 - 10*d**2 + d. Let q(p) be the second derivative of k(p). Factor q(l).
4*(l - 13)**2/3
Let a(p) be the first derivative of -p**6/3 - 52*p**5/15 - 61*p**4/6 - 4*p**3/3 + 64*p**2/3 + 64*p/3 + 6664. Suppose a(t) = 0. Calculate t.
-4, -1, -2/3, 1
Let v = 254 + -255. Let h(z) = 3*z**4 + 3*z**3 - 7*z**2 + 5*z. Let i(a) = -a**4 + a**3 - a**2. Let t(l) = v*h(l) - 4*i(l). Determine k so that t(k) = 0.
0, 1, 5
Let p(j) be the first derivative of 13*j**5/5 + 15*j**4/4 - 8*j**3 - 2*j**2 + 1149. Factor p(q).
q*(q - 1)*(q + 2)*(13*q + 2)
Let f be 8*(-81)/(-360) + (-2)/(-10). Let p(b) be the first derivative of 0*b**3 + 0*b + 3/5*b**5 - 3/4*b**4 - 5 + 0*b**f. What is r in p(r) = 0?
0, 1
Let g(f) be the second derivative of -f**9/1512 - f**8/420 + f**7/140 - f**3/2 - f**2/2 + 20*f. Let u(z) be the second derivative of g(z). Factor u(v).
-2*v**3*(v - 1)*(v + 3)
Let l be -4 + 8 + 48/(-27) - (-200)/150. Factor -2*w - 2/9*w**5 - 28/9*w**3 + 4/9 + 4/3*w**4 + l*w**2.
-2*(w - 2)*(w - 1)**4/9
Factor 3/4*k**2 - 33/2*k + 84.
3*(k - 14)*(k - 8)/4
Suppose 199 + 9280*q + 523 - 121*q**3 + 25487*q**2 + 122 = 0. What is q?
-2/11, 211
Let r = -62420 - -187262/3. Solve r*g**2 + 0 - 4*g + 2/3*g**3 = 0 for g.
-3, 0, 2
Suppose 3*i - 114 = 3*d - 126, 4*i = -4*d - 16. Solve -14/15*t**3 + d + 8/15*t + 8/5*t**2 = 0 for t.
-2/7, 0, 2
Let p(n) be the second derivative of -n**7/210 + 3*n**6/50 - 2*n**5/25 + n - 151. Let p(d) = 0. Calculate d.
0, 1, 8
Let d(x) = -53*x**4 + 59*x - 379*x + 464*x**3 + 1001*x**2 + 6*x**4. Let n(i) = -12*i**4 + 116*i**3 + 250*i**2 - 80*i. Let r(u) = 4*d(u) - 18*n(u). Factor r(o).
4*o*(o - 10)*(o + 2)*(7*o - 2)
Let u(v) = -4*v**2 + 26*v + 18. Let l(a) = -2*a. Let j(z) = -2*l(z) + u(z). Let x be j(8). Determine p so that 8/5 + x*p + 2/5*p**2 = 0.
-4, -1
Suppose -15*v + 14*v = -256. Factor 52*q + 490 + v*q**3 - 60*q**2 + 53*q - 251*q**3.
5*(q - 7)**2*(q + 2)
Let n be (-6)/24 - 45/(-20). What is j in j**2 - 40*j + 56*j**3 - 61*j**3 + 44*j**n = 0?
0, 1, 8
Let h(z) = 5*z**4 - 11*z**3 - 588*z**2 - 1092*z - 6. Let t(w) = -10*w**4 + 21*w**3 + 1173*w**2 + 2182*w + 11. Let s(k) = -11*h(k) - 6*t(k). Factor s(j).
5*j*(j - 12)*(j + 2)*(j + 9)
Let w be -1*(11 - 1) + 1743/168. Determine h so that -9/4*h + 3/2*h**3 - 3/8*h**4 - w*h**2 + 0 = 0.
-1, 0, 2, 3
Let h(a) be the second derivative of -a**5/70 - 13*a**4/14 - 24*a**3 - 308*a**2 + 77*a. Determine u so that h(u) = 0.
-14, -11
Let x(g) = 5*g**2 - 338*g + 5786. Let u be (-136)/(-12) - 2/6. Let h(l) = 25*l**2 - 1689*l + 28933. Let f(n) = u*x(n) - 2*h(n). Solve f(k) = 0.
34
Let i = -5/3436 + 8595/3436. Factor -3/2 + i*m**3 + 13/2*m - 63/8*m**2.
(m - 2)*(4*m - 3)*(5*m - 2)/8
Let k = 22 - 19. Suppose 4*b + 7 = -k*h, -5*b - 3*h + 6*h = -25. Suppose -m**4 - 4 + 4*m - 5 + 9*m**3 - 10*m**3 + 1 + 6*m**b = 0. Calculate m.
-2, 1, 2
Let g(r) be the first derivative of -3*r**5/80 - 3*r**4/8 - 11*r**3/8 - 9*r**2/4 + 30*r - 2. Let f(w) be the first derivative of g(w). Factor f(l).
-3*(l + 1)*(l + 2)*(l + 3)/4
Let h(c) be the first derivative of -2*c**3/21 - 177*c**2/7 + 716*c/7 + 1436. Factor h(b).
-2*(b - 2)*(b + 179)/7
Let v(n) be the second derivative of -137*n**3/6 - 271*n**2/2 + 4*n + 13. Let y be v(-2). Factor 3*x + 18/5*x**2 + 3/5*x**y + 0.
3*x*(x + 1)*(x + 5)/5
Let s be (11 + -12)*(-10 - 2). Factor 9*k**2 + s - 24*k + 11 + 5*k**2 - 31.
2*(k - 2)*(7*k + 2)
Let h(y) = -y**3 - 25*y**2 - 22*y + 51. Let u(l) = 4*l**2 - 63*l + 21. Let z be u(15). Let o be h(z). Factor 0*f**2 + 8/5*f - 2/5*f**4 - 6/5*f**o + 0.
-2*f*(f - 1)*(f + 2)**2/5
Let n = 1819 - 2566. Let j = n + 749. Suppose -8/3 + 20/3*l + 4/3*l**3 - 16/3*l**j = 0. Calculate l.
1, 2
Let r(y) = y**3 + 2*y**2 - 8. Let j be r(-2). Let g be (j/6)/((-38)/57). Let -4/7*o + 0 + 4*o**g - 7*o**3 = 0. What is o?
0, 2/7
Factor -9*c + 1/5*c**2 + 126/5.
(c - 42)*(c - 3)/5
Suppose -5*i + 43 = -147. Suppose -36*n + i*n = 4. Determine x, given that -x - 15*x + 7*x + 6 + 3*x**n = 0.
1, 2
Suppose 0 = 22*l - l + 189. Let t be 1 - (-7 - l - 1). Suppose -8/3*a**2 + 0 + t*a + 4*a**3 - 4/3*a**4 = 0. What is a?
0, 1, 2
Factor -2970/19*p**2 - 1470150/19*p - 2/19*p**3 - 242574750/19.
-2*(p + 495)**3/19
Suppose 5*t - 67*g 