 + -348. Let g be 10/(-6)*((-70)/(-7))/l. Find m such that 0 - g*m**3 + 0*m - 4/3*m**2 = 0.
-4, 0
Let i = 87395 - 436957/5. Factor -3/5*x**3 - i*x**2 - 36/5*x - 24/5.
-3*(x + 2)**3/5
Suppose 4 = 43*i - 46*i + 40, -2*i + 49 = 5*d. Factor j**2 + 1/2 + 3/2*j - 1/2*j**d - j**3 - 3/2*j**4.
-(j - 1)*(j + 1)**4/2
Let h(s) = -s**3 - s**2 + 2*s + 3. Let p be h(-3). Suppose -13*y + p = -8*y. Factor -16*m + 26*m**4 - 2 + 3*m**5 - 60*m**4 - 11*m**5 - 44*m**2 - 56*m**y.
-2*(m + 1)**4*(4*m + 1)
Let h be 0 - -1 - (-9 - (-18 + 10 + 0)). Solve 6/7*b**h + 0 - 4/7*b - 2/7*b**3 = 0.
0, 1, 2
Let l be 18/(-90)*90/(-162). Let x(y) be the second derivative of l*y**3 + 0 - 15*y - 1/36*y**4 + 4/3*y**2. Factor x(d).
-(d - 4)*(d + 2)/3
Let z be -1 - (-56)/7 - 3. Suppose -31*b + 81 = -z*b. Let 2/9*l**b + 0 + 0*l - 2/9*l**2 = 0. Calculate l.
0, 1
Factor 0*b - 2/5*b**5 + 62/5*b**4 + 426/5*b**3 + 666/5*b**2 + 0.
-2*b**2*(b - 37)*(b + 3)**2/5
Let h(n) be the first derivative of 0*n**2 + 0*n - 140 - 1/15*n**5 + 0*n**3 - 1/6*n**4. Factor h(l).
-l**3*(l + 2)/3
Let s(i) = -4*i**2 + 1108*i - 2206. Let c(h) = 2*h**2 - 1106*h + 2208. Let p(m) = -6*c(m) - 4*s(m). What is d in p(d) = 0?
-553, 2
Let m(o) = 2*o**3 - 54*o**2 - 158*o + 4269. Let g be m(27). Suppose -102/13*p**g - 9826/13*p - 1734/13*p**2 + 0 - 2/13*p**4 = 0. What is p?
-17, 0
Let l(x) be the third derivative of -x**7/210 - 179*x**6/120 - 2699*x**5/20 - 7565*x**4/24 + 7921*x**3/3 - 4394*x**2. Determine f, given that l(f) = 0.
-89, -2, 1
Let z(d) be the second derivative of d**4/3 + 46*d**3 + 136*d**2 - d - 117. Factor z(r).
4*(r + 1)*(r + 68)
Suppose -34146848/5 - 16528/5*u - 2/5*u**2 = 0. Calculate u.
-4132
Determine g, given that 12*g**3 + 8*g + 50 + 4362*g**5 - 28*g**2 - 4361*g**5 + 10*g**3 + 10*g**4 - 20*g - 43*g = 0.
-5, -2, 1
Let g(j) be the third derivative of -j**6/144 - 1279*j**5/36 + 25595*j**4/144 - 3200*j**3/9 - 2038*j**2 - 3. Suppose g(x) = 0. What is x?
-2560, 1
Factor -2/13*l**3 - 36*l + 238/13*l**2 + 0.
-2*l*(l - 117)*(l - 2)/13
Let 127*h**2 + 592 - 727*h**2 + 4*h**3 - 512*h**2 - 4*h + 520 = 0. Calculate h.
-1, 1, 278
Determine i, given that 2041047 - 12005*i**2 + 5170958 + 87652*i**3 + 7199995*i - 87647*i**3 = 0.
-1, 1201
Let y(h) be the second derivative of h**6/36 - 11*h**5/24 + 5*h**4/4 - 1871*h. Factor y(a).
5*a**2*(a - 9)*(a - 2)/6
Let g(h) be the third derivative of h**6/30 + 41*h**5/15 + 220*h**4/3 + 800*h**3/3 - 2*h**2 - 144. What is w in g(w) = 0?
-20, -1
Let k(s) be the first derivative of -s**4/8 - 37*s**3/6 - 371*s**2/4 - 1127*s/2 + 1320. Factor k(u).
-(u + 7)**2*(u + 23)/2
Let o(j) = -8*j**4 - 97*j**3 + 566*j**2 - 1096*j + 635. Let y(d) = -2*d**4 + 2*d**3 - d**2 - d + 2. Let r(a) = o(a) - 7*y(a). Solve r(g) = 0.
1, 3, 23/2
Let h be ((-76)/95)/(-1 - 93/(-175)). Let a = h + 2/287. What is x in 8/7*x**2 + a*x**3 + 0*x + 4/7*x**4 + 0 = 0?
-2, -1, 0
Let y(s) be the second derivative of -s**4/4 + 1469*s**3 - 6473883*s**2/2 + 3166*s. Let y(r) = 0. Calculate r.
1469
Factor -634*i**4 - 644*i**4 - 705*i**2 + 1273*i**4 - 185*i**3 + 1690 + 1105*i + 60*i**3.
-5*(i - 2)*(i + 1)*(i + 13)**2
Let a(l) = -86*l**2 - 66*l + 12. Let n(f) = -256*f**2 - 199*f + 35. Suppose -p - 5*b = 11, -14*p + 5*b = -18*p - 44. Let r(k) = p*a(k) + 4*n(k). Factor r(m).
-2*(m + 1)*(39*m - 4)
Let m(p) be the first derivative of p**5/20 - p**4/8 - 9*p**3/4 - 13*p**2/2 - 7*p - 2450. Factor m(h).
(h - 7)*(h + 1)*(h + 2)**2/4
Let a(i) = -3*i**3 + 28*i**2 - 136*i + 184. Suppose -5*z + 147 = 122. Let k(n) = 2*n**3 - 19*n**2 + 91*n - 123. Let g(v) = z*a(v) + 8*k(v). Factor g(s).
(s - 4)**3
Let h(d) be the second derivative of -d**7/189 + d**6/135 + 7*d**5/90 - d**4/54 - 2*d**3/9 - 12922*d. Find i such that h(i) = 0.
-2, -1, 0, 1, 3
Let j(w) = -2*w**4 - 13*w**3 - 45*w**2 - 47*w - 10. Let o(y) = -y**4 - y**3 - 3*y**2 - 3*y + 1. Let n(h) = -2*j(h) + 6*o(h). Factor n(f).
-2*(f - 13)*(f + 1)**3
Suppose l - 4 = 0, -216 = -2*j + 54*l - 50*l. Suppose -17*y**2 - y**2 + 3*y**3 + j*y**4 - 112*y**4 - y**5 = 0. Calculate y.
-2, 0, 3
Suppose 2*w - 3 = -z - 11, 0 = -3*w - 3*z - 18. Let m be 4 + (1 - 4)/(-3) + w. Factor -f**2 - f**m - 4*f + 3*f + 3*f**2.
-f*(f - 1)**2
Let z = -158022 - -158022. Find n, given that z*n - 2/7*n**3 + 0 - 16/7*n**2 = 0.
-8, 0
Let u be 15/2*2080/240. Factor -140*c + 205*c**4 + 45*c**3 - 5*c**5 - u*c**2 - 60 - 92*c**4 - 88*c**4.
-5*(c - 6)*(c - 2)*(c + 1)**3
Let r be 30/(-108)*-3*(-23 + 29). Let 16/9*k**2 - 10/9*k**4 + 4/9*k**3 + 0 + 2/9*k**r + 0*k = 0. Calculate k.
-1, 0, 2, 4
Solve 33*b**3 + 3/2*b**2 - 135/4*b + 3/4*b**5 + 33/2 - 18*b**4 = 0 for b.
-1, 1, 22
Suppose -4*a - f = -0*f - 29, -a = 4*f - 26. Let d be (3 + -5)*2/a*-15. Factor 3*j**2 - d*j**2 - 3*j - 2 + 6*j**2.
-(j + 1)*(j + 2)
Let c be (370/20)/(1/2). Let x(w) = w**3 + 34*w**2 - 72*w + 2. Let i be x(-36). Factor i + 2*p - 6 + 39*p**2 - c*p**2.
2*(p - 1)*(p + 2)
Let p be 18/(-27)*360/(-672) + 4/(-56). Factor 0*z - 4/7*z**3 - 2/7*z**2 - p*z**4 + 0.
-2*z**2*(z + 1)**2/7
Let z(s) be the first derivative of s**8/672 + s**7/105 - s**6/240 - s**5/30 + s**2 + 6*s + 71. Let m(f) be the second derivative of z(f). Factor m(u).
u**2*(u - 1)*(u + 1)*(u + 4)/2
Let h be 2/(8/6)*(-1216)/(-31920). Let k(i) be the first derivative of 0*i - 2/7*i**2 - h*i**5 + 1/7*i**4 + 20 + 2/21*i**3. Factor k(b).
-2*b*(b - 2)*(b - 1)*(b + 1)/7
What is v in 1/4*v**4 + 0 - 15/4*v**2 - 1/2*v**3 + 0*v = 0?
-3, 0, 5
Factor -12*d**2 + 1/5*d**4 + 0*d + 0 - 7/5*d**3.
d**2*(d - 12)*(d + 5)/5
Let l(m) = -2709*m - 32506. Let p be l(-12). Factor 8/9 - 40/9*y - 14/9*y**3 + 46/9*y**p.
-2*(y - 2)*(y - 1)*(7*y - 2)/9
Suppose -v - 28 = -3*s - 7, -5*v = -3*s + 33. Let m(n) = n**2 - 2*n - 9. Let x be m(s). Factor -18*a - 34*a**2 + x - 28*a**2 + 65*a**2.
3*(a - 5)*(a - 1)
Suppose 10*q - 208 = 382. Suppose q*h + 19*h - 42*h + 5*h**2 + 14*h = 0. Calculate h.
-10, 0
Let d(x) = -x**3 - 13*x**2 + 26*x - 56. Let g be d(-15). Let r be ((-42)/(-15) + -4)/((-6)/g). Factor 4/5*l - 8/5 + r*l**2.
4*(l - 1)*(l + 2)/5
Find z, given that -2*z**5 - 52920*z**3 + 439134*z**4 - 3*z**5 - 440189*z**4 + 291600*z**2 = 0.
-108, 0, 5
Suppose -2*t + 34 = 30. Suppose 13 - 5*q - 4*q**2 - 28 + 3*q**t + 21 = 0. What is q?
-6, 1
Suppose -45*g - 19 = -46*g + 4*l, -4*g = -9*l - 48. Determine c, given that 1 - 3/4*c**2 - c - 1/4*c**4 + c**g = 0.
-1, 1, 2
Let v(c) be the first derivative of -c**6/36 - 11*c**5/30 + 13*c**4/24 + 11*c**3/18 - c**2 + 8304. Let v(d) = 0. What is d?
-12, -1, 0, 1
Let f(t) be the first derivative of 3*t**4/4 + 10*t**3 + 81*t**2/2 + 54*t + 4667. Solve f(u) = 0 for u.
-6, -3, -1
Suppose 0 = -4*r - 33 + 133. Suppose 3*v + 4 - 8 = i, -5*v - 2*i + r = 0. Solve -4*j**2 - 2*j**3 + v*j + 2 + 10 - 8 - j = 0.
-2, -1, 1
Let i(t) = 6*t**5 + 78*t**4 + 169*t**3 + 50*t**2 - 3. Let b(n) = 5*n**5 + 78*n**4 + 167*n**3 + 50*n**2 - 4. Let j(z) = -3*b(z) + 4*i(z). Solve j(w) = 0 for w.
-5, -10/3, -1/3, 0
Let q(h) = 6*h - 5. Let t be q(3). Suppose 0 = 4*n - t*n + 63. Factor -90*m**5 - n*m**3 + 23*m**3 + 88*m**5 - 32*m.
-2*m*(m - 2)**2*(m + 2)**2
Let d = 17623 + -17598. Let f(k) be the second derivative of 0 - 1/24*k**3 - d*k + 1/96*k**4 + 1/16*k**2. Factor f(q).
(q - 1)**2/8
Let a = 62 + -59. Let n(y) = 7*y - 18. Let z be n(a). Let -j**2 + 0 - 1/2*j**5 + 0*j + 1/2*j**z + j**4 = 0. Calculate j.
-1, 0, 1, 2
Let c(n) be the second derivative of -3*n**6/10 + 159*n**5/20 - 75*n**4/2 - 28*n**3 + 33*n + 2. Suppose c(i) = 0. Calculate i.
-1/3, 0, 4, 14
Suppose 10*f + 16 = 14*f. Solve -4*b**4 + 70*b**3 + 6*b**5 + 3*b**f - 68*b**3 - 7*b**5 = 0 for b.
-2, 0, 1
Let l(y) be the second derivative of y**7/8820 + y**6/1260 - 35*y**4/12 - 3*y + 8. Let d(m) be the third derivative of l(m). Factor d(b).
2*b*(b + 2)/7
Let b be (10 - -10)/5 - (0 - 1). Factor -229*w - 2420 - b*w**2 + 4*w**2 + 9*w - 4*w**2.
-5*(w + 22)**2
Let y(a) be the third derivative of 0 + 0*a + 1/180*a**5 + 85*a**2 + 7/3*a**3 - 17/72*a**4. Factor y(u).
(u - 14)*(u - 3)/3
Let d(q) be the first derivative of -5*q**5 + 10*q**4 + 95*q**3/3 + 15*q**2 + 2358. Let d(n) = 0. Calculate n.
-1, -2/5, 0, 3
Let a(i) = i**3 - 7*i**2 - 16*i - 7. Let h be a(9). Factor h*c**2 - 187*c**2 - 2500 - 28*c**2 + 4*c**3 + 2700*c.
4*(c - 25)**2*(c - 1)
Let k = -135 + 274. Suppose 3*c = 3*j - 129, -4*j = c - 23 - k. Fac