b) = 0. Calculate b.
-13, -2, 1, 3
Suppose -12 = 44*m - 100. Factor 174*y**2 - 6*y**3 - 183*y - 909*y - 236 - 232 - 120 - 9*y**m.
-3*(y - 14)**2*(2*y + 1)
Let z = 1122 - 67319/60. Let t(d) be the second derivative of 3/40*d**5 + 5*d + 0 + z*d**6 - 1/24*d**4 - 1/6*d**3 - 1/84*d**7 + 0*d**2. Let t(r) = 0. What is r?
-1, 0, 1, 2
Let o = -5/3786 + 7627/41646. Factor 0 + o*h**3 - 8/11*h**2 + 6/11*h.
2*h*(h - 3)*(h - 1)/11
Let w be (-69)/(-207) - (-1714)/6. Factor 10 + 15*g - 306*g**3 - 10*g**2 + 5*g**5 + w*g**3 + 0*g**5.
5*(g - 2)*(g - 1)*(g + 1)**3
Let d(b) be the third derivative of -b**6/210 + 3*b**5 - 8321*b**4/14 + 49298*b**3/21 + 1313*b**2. Factor d(j).
-4*(j - 157)**2*(j - 1)/7
What is t in 15271*t**4 + 8*t**2 + 10*t**3 + 7*t**3 + 5*t**5 - 5*t**3 - 15289*t**4 = 0?
-2/5, 0, 2
Suppose 1289*d - 2596*d + 14 = -1300*d. Suppose 6/11*g**d + 2/11*g**4 + 0 + 0*g - 8/11*g**3 = 0. What is g?
0, 1, 3
Let b(f) be the second derivative of f**7/1260 - f**6/54 - 7*f**5/180 + 7*f**4/3 + 35*f. Let d(i) be the third derivative of b(i). Factor d(r).
2*(r - 7)*(3*r + 1)/3
Let c(w) be the first derivative of w**4/20 + 272*w**3/5 - 1638*w**2/5 + 656*w + 4340. What is u in c(u) = 0?
-820, 2
Let j be ((-32)/(-112))/((-4)/5542). Let w = j + 397. Factor w*s + 6/7*s**2 + 2/7.
2*(s + 1)*(3*s + 1)/7
Let i(f) be the third derivative of -3/320*f**6 + 0 + 1/1680*f**7 + 0*f + 40*f**2 + 1/2688*f**8 + 0*f**3 - 1/48*f**4 + 11/480*f**5. Let i(l) = 0. Calculate l.
-4, 0, 1
Suppose -345*l + 347*l = 176. Let v be ((-4)/l)/((-10)/80). What is k in 0 + 2/11*k**2 - v*k = 0?
0, 2
Let v(a) be the second derivative of a**7/35 - 53*a**6/75 + 111*a**5/25 + 67*a**4/15 - 15*a**3 - 81*a**2/5 + 589*a. Solve v(m) = 0 for m.
-1, -1/3, 1, 9
Let z(v) be the third derivative of v**5/240 + 29*v**4/32 - 11*v**3/3 + v**2 - v. Suppose z(c) = 0. Calculate c.
-88, 1
Let i(z) be the second derivative of -z**6/15 - 8*z**5/5 - 15*z**4/2 + 142*z**3/3 - 80*z**2 + 42*z + 21. Solve i(m) = 0.
-10, -8, 1
Determine j so that -12603*j - 4*j**2 + 19*j**2 + 23511*j - 438 - 11997*j = 0.
-2/5, 73
Factor 361 + 5*l**2 - 132 + 305*l + 502 - 141.
5*(l + 2)*(l + 59)
Factor n**4 + 12*n**3 - 3*n**2 - 676 + 672 + 9*n - 14*n**3 - n.
(n - 2)*(n - 1)**2*(n + 2)
Suppose 201*o - 199*o - 14 = -2*k, -4*k = 2*o - 24. Let x(i) be the first derivative of 3/14*i**o - 15 + 1/21*i**3 + 0*i. Solve x(u) = 0.
-3, 0
Let a(o) be the third derivative of -4*o**7/315 - 2*o**6/45 + 17*o**5/30 - 5*o**4/4 + 712*o**2. Find k, given that a(k) = 0.
-5, 0, 3/2
Let x = 775/4 - 2906/15. Let u(a) be the second derivative of -2/5*a**2 + 0 - 5*a + x*a**4 - 1/10*a**3. Find i, given that u(i) = 0.
-1, 4
Let r be 5 + 0*1/(1 + 0). Suppose r*o = 3*v + 9 - 31, -v = -4*o - 12. What is z in 6*z**4 - z**3 - 2*z**2 + 18*z**2 + z**5 + 5*z + 15*z**3 + 2 + v*z = 0?
-2, -1
Let w(s) = 5*s**2 - 4*s - 1. Let f be w(-3). Let j = f + -53. Find h, given that 4*h**3 - 13*h**3 + h**3 + j*h**2 + 6*h + 5*h**3 = 0.
-1, 0, 2
Let h(m) be the second derivative of -149*m - 1/15*m**6 + 0*m**2 + 0*m**3 + 0 - 1/3*m**4 + 3/10*m**5. Let h(c) = 0. What is c?
0, 1, 2
Let z(m) = -27*m**2 - 34*m - 1. Let n(c) = -919833*c + c**2 + 1 + 919833*c. Let f = 8 + -14. Let a(v) = f*n(v) + 2*z(v). Suppose a(u) = 0. What is u?
-1, -2/15
Let u(t) be the third derivative of -t**9/1512 - t**8/210 - t**7/140 - 59*t**3/3 - 161*t**2. Let z(i) be the first derivative of u(i). Factor z(n).
-2*n**3*(n + 1)*(n + 3)
Let y = 68084784323/2420 - 28134209. Let g = -1/484 - y. Suppose 6*a + 15 + g*a**2 = 0. What is a?
-5
Let l(c) be the first derivative of 3*c**4/20 + 4*c**3/5 - 4233. Factor l(n).
3*n**2*(n + 4)/5
Let n = -746209 + 5223507/7. Factor 98 - 140*x + 48*x**2 - n*x**3 + 2/7*x**4.
2*(x - 7)**3*(x - 1)/7
Let w(b) be the third derivative of b**6/1080 - 11*b**5/360 - b**4/6 + 53*b**3/6 - 66*b**2. Let v(n) be the first derivative of w(n). Find t such that v(t) = 0.
-1, 12
Let h(i) be the third derivative of -i**7/315 - 49*i**6/180 - 209*i**5/45 + 12*i**2 + 64. Factor h(w).
-2*w**2*(w + 11)*(w + 38)/3
Let c(y) be the second derivative of 0*y**3 - 2*y + 5/3*y**4 + 0*y**2 + 1/20*y**5 - 61. Find f such that c(f) = 0.
-20, 0
Let o(j) be the first derivative of -j**4/32 + 3*j**3/16 + 3*j**2/4 - 79*j + 74. Let y(n) be the first derivative of o(n). Factor y(i).
-3*(i - 4)*(i + 1)/8
Let v(i) be the first derivative of -12*i**5/35 + 87*i**4/28 - 5*i**3 - 159*i**2/14 + 45*i/7 - 1067. Let v(n) = 0. Calculate n.
-1, 1/4, 3, 5
Let f(p) be the first derivative of -256*p + 3*p**4 + 80/3*p**3 - 4/5*p**5 - 96*p**2 - 29. Factor f(c).
-4*(c - 4)**2*(c + 1)*(c + 4)
Let z(k) be the first derivative of k**8/4480 - k**7/2240 - k**6/480 - 4*k**3 + k - 16. Let q(i) be the third derivative of z(i). Factor q(c).
3*c**2*(c - 2)*(c + 1)/8
Let l(k) be the third derivative of -k**5/120 - 145*k**4/6 - 84100*k**3/3 + 900*k**2 + 2*k. Let l(y) = 0. Calculate y.
-580
Let m be 9 - (1/(-8*(-9)/720) - 4). What is g in 0 + 18/7*g**m - 212/7*g**2 - 48/7*g = 0?
-2/9, 0, 12
Let t = 15697 - 15695. Let z = -627/7 - -90. Factor -1/7*k**t - 2/7 - z*k.
-(k + 1)*(k + 2)/7
Let q(a) be the third derivative of a**6/200 - 101*a**5/100 + 751*a**4/40 - 651*a**3/10 + 1790*a**2. Factor q(h).
3*(h - 93)*(h - 7)*(h - 1)/5
Solve 244*d**3 + 3*d**5 + 388*d**3 + 207*d**4 - 38*d**3 = 0.
-66, -3, 0
Let p be 40/(-6)*(-6)/4. Factor 35*v - 10*v - p*v**2 - 17 + 5*v**2 - 13.
-5*(v - 3)*(v - 2)
Factor 3/5*o**4 + 1626/5*o**3 + 17494374/5*o - 17789223/5 + 58644*o**2.
3*(o - 1)*(o + 181)**3/5
Factor 2345*h**2 - 2167*h**5 + 273*h**3 + 1981*h**4 - 54*h**4 - 42*h**5 - 2336*h**2.
-h**2*(h - 1)*(47*h + 3)**2
Suppose -79*r**2 - 13*r + 70*r - 130*r**2 + 208*r**2 + 5*r = 0. Calculate r.
0, 62
Let r(z) be the third derivative of z**5/15 - 739*z**4/3 + 1092242*z**3/3 + 555*z**2 + 1. Determine p, given that r(p) = 0.
739
Let a(o) = 2*o - 4. Let m be a(3). Find x, given that -96*x - x**m - 96*x + 194*x + 8 = 0.
-2, 4
Let a(i) = 7*i**4 - 10*i**3 - 60*i**2 - 68*i - 8. Let q(t) = -2*t**4 - t**3 - t + 2. Let n(s) = -3*a(s) - 12*q(s). Factor n(l).
3*l*(l + 2)*(l + 6)**2
Suppose -4*q - 1234 = -4*n + 270, 0 = -5*n + 3*q + 1884. Let g = n + -374. Factor -g*x + 4/3 + 3*x**2.
(3*x - 2)**2/3
Let q(i) be the first derivative of i**8/420 - 14*i**7/75 - 109*i**2/2 - 216. Let w(c) be the second derivative of q(c). Let w(g) = 0. What is g?
0, 49
Let x be 56/21*(-15)/20*-2. Let w(j) = -5*j**2 - 13*j + 92. Let z(k) = -20*k**2 - 50*k + 370. Let d(o) = x*z(o) - 15*w(o). Factor d(b).
-5*(b - 4)*(b + 5)
Let i be 45 - (3/(-9))/1*-12. Suppose i*b = 38*b + 6. Factor 8/11 - 2/11*m**b + 6/11*m.
-2*(m - 4)*(m + 1)/11
Suppose 14*q - 44*q - 210 = 0. Let h be 10 + q + (-86)/30. Suppose -2/15*o**2 + h + 0*o = 0. Calculate o.
-1, 1
Let k(c) be the first derivative of -44 + 15*c**2 + 2/3*c**3 + 28*c. Factor k(f).
2*(f + 1)*(f + 14)
Let s(m) be the second derivative of 17/18*m**3 - 7/36*m**4 - 1/60*m**5 + 19*m - 3/2*m**2 + 0. Factor s(k).
-(k - 1)**2*(k + 9)/3
Suppose 0 = -5*u - 20, -u - 2*u - 6 = 2*t. Factor -k**3 + 2*k**4 - t*k - 6*k**2 + 11*k**2 - 3*k**4.
-k*(k - 1)**2*(k + 3)
Let y(f) = -516*f**2 + 1108*f - 613. Let w(v) = 4*v**2 - 2*v + 2. Let h(s) = 4*w(s) + y(s). Factor h(t).
-5*(10*t - 11)**2
Let c = -769 + 773. Suppose 5*w - 2*d - 10 = -4*d, -4*w = -c*d - 8. Find b such that -86/9*b**w + 0 - 20/9*b + 10/9*b**5 - 26/9*b**4 - 34/3*b**3 = 0.
-1, -2/5, 0, 5
Suppose 4*c - c - 87 = 0. Let -15*g + c*g + 4*g**3 + 8*g**2 - 10*g = 0. What is g?
-1, 0
Find x such that -16/3*x - 40 - 1/6*x**2 = 0.
-20, -12
Suppose 34634 - 34634 - 19*l**3 - 60*l**2 - 9*l = 0. Calculate l.
-3, -3/19, 0
Let g be 2/10 - (44/(-55) - 1). Solve 180*l - 80 + 572*l**4 + 45*l**3 - 140*l**g - 1154*l**4 + 577*l**4 = 0.
1, 2, 4
Let b(p) be the first derivative of 3*p**4/20 + 76*p**3/5 + 2688*p**2/5 + 36864*p/5 + 7016. Factor b(v).
3*(v + 12)*(v + 32)**2/5
Let n = -872 + 2500. Factor 1630*w**2 - 76 - 21*w - n*w**2 - 13*w.
2*(w - 19)*(w + 2)
Suppose -79*g + 112*g = 66. Suppose 7*f - 2*f - 10 = 0. What is l in f*l**3 + 12 + 18*l**g - 18*l**2 - 8 - 6*l = 0?
-2, 1
Let h(v) = v**3 - v**2 - v - 2. Let o(g) = 15*g**3 - 15*g**2 - 10*g - 40. Let j = 114 - 134. Let p(w) = j*h(w) + o(w). Let p(f) = 0. Calculate f.
-1, 0, 2
Let a be (15/700)/((-234)/(-260)). Let f(h) be the se