rivative of -69 + 0*c - 7/40*c**6 - 2*c**2 + 0*c**3 + 0*c**4 + 1/10*c**5 - 3/112*c**8 + 4/35*c**7. Find u, given that f(u) = 0.
0, 2/3, 1
Suppose 1152 + 672/5*x + 2/5*x**3 - 86/5*x**2 = 0. Calculate x.
-5, 24
Let l(u) be the third derivative of -u**5/120 - 455*u**4/12 + 607*u**3/4 + 2014*u**2. Factor l(p).
-(p - 1)*(p + 1821)/2
Suppose 168*z = 62*z + 401*z + 280*z. Find w, given that -10/9*w**2 - 2/9*w**4 + z + 8/9*w**3 + 4/9*w = 0.
0, 1, 2
Let n(x) be the third derivative of 7/120*x**6 + 7/30*x**5 + 0*x + 1/210*x**7 - 3*x**2 + 0*x**3 + 1/3*x**4 + 7. Find w, given that n(w) = 0.
-4, -2, -1, 0
Suppose 3*g + 144 = 5*d - g, 3*d - 4*g - 80 = 0. Suppose d*a = 14*a - 18*a. Factor -1/4*r**5 + 1/2*r**4 + 0 + 0*r**2 + 0*r + a*r**3.
-r**4*(r - 2)/4
Let a = 17011 - 17011. Let q(l) be the second derivative of 1/20*l**5 + a + 3/2*l**2 + 5/12*l**4 - 17*l + 7/6*l**3. Factor q(c).
(c + 1)**2*(c + 3)
Find u such that -428/5*u**2 - 82/5*u**3 - 160*u - 1/5*u**4 + 1/10*u**5 - 512/5 = 0.
-8, -2, 16
Let f(a) be the second derivative of a**5/20 - 14*a**4/3 + 55*a**3/6 + 734*a - 3. Solve f(w) = 0 for w.
0, 1, 55
Let f(y) be the second derivative of -87*y**5/10 - 67*y**4/12 + 113*y**3/6 + 3*y**2 + 819*y + 1. Factor f(s).
-(s + 1)*(3*s - 2)*(58*s + 3)
Let n = -247815 - -247817. Factor 1024/5 - 2176/5*r + 4/5*r**4 + 1284/5*r**n - 136/5*r**3.
4*(r - 16)**2*(r - 1)**2/5
Let j = -8 + 10. Suppose 0 = -j*c - 4*c + 90. Factor 2*v**2 - c*v + 3*v - 6*v**2.
-4*v*(v + 3)
Suppose 5*m - 24 + 9 = 0. Factor -22*w**2 + 25*w**2 + 6*w**3 - m*w**3.
3*w**2*(w + 1)
Let j(l) be the second derivative of -l**6/480 + l**5/20 - 7*l**4/32 + 5*l**3/12 + 21*l**2/2 + 5*l + 1. Let f(i) be the first derivative of j(i). Factor f(b).
-(b - 10)*(b - 1)**2/4
Let q be (5 - (-170)/(-30)) + 2/3. Suppose -4*k - o = 3*o - 16, -2*o + 4 = q. Factor -1/6*b**3 - 1/6 - 1/2*b - 1/2*b**k.
-(b + 1)**3/6
Let x(l) be the first derivative of -l**5/40 - 3*l**4/8 + 143*l**3/24 + 87*l**2/8 - 38*l + 2133. Suppose x(j) = 0. Calculate j.
-19, -2, 1, 8
Let p(a) = 17*a**3 + 97*a**2 + 107*a + 27. Let w(t) = -153 - t**2 + 154 + t**3 + 2*t**2 + t. Let j(o) = -p(o) + 2*w(o). Find i such that j(i) = 0.
-5, -1, -1/3
Let q be -3 - (-126)/49 - 2070/(-1890). Suppose j + j = 4. Let q*u**j - 2 - 4/3*u = 0. What is u?
-1, 3
Let n(o) be the first derivative of o**4/14 - 104*o**3/21 + 100*o**2/7 - 921. Factor n(g).
2*g*(g - 50)*(g - 2)/7
Let v(x) be the first derivative of -x**4/2 + 10*x**3/3 + 94*x**2 - 1120*x - 9641. Determine l, given that v(l) = 0.
-10, 7, 8
Let i(k) be the third derivative of -k**5/60 - 26*k**4/3 + 209*k**3/6 - 2111*k**2. Factor i(q).
-(q - 1)*(q + 209)
Let y be -1 + -6 + 17 - 70/8. Let h(l) be the second derivative of y*l**4 - 27*l + 0 + l**2 + 17/6*l**3. Factor h(t).
(t + 1)*(15*t + 2)
Let z = 756 + -754. Solve 4*n**2 + 13*n**z - 16*n**2 - 12*n - 45 = 0 for n.
-3, 15
Let r(i) = -26*i**4 + 164*i**3 - 486*i**2 + 504*i - 63. Let k(w) = -w**4 + w**3 - w**2 - w - 1. Let n(l) = -18*k(l) + 2*r(l). Factor n(x).
-2*(x - 3)**3*(17*x - 2)
Let q(o) be the second derivative of o**5/10 + 220*o**4 + 193600*o**3 + 85184000*o**2 + 756*o. Suppose q(h) = 0. Calculate h.
-440
Let v(d) = 4*d - 458. Let p be v(117). Let f(l) be the second derivative of 3/10*l**5 - 1/8*l**2 - 2/15*l**6 + 0 - 1/4*l**3 + p*l - 1/48*l**4. Factor f(s).
-(s - 1)**2*(4*s + 1)**2/4
Factor 1/6*o**3 - 158/3*o**2 - 319/3 - 955/6*o.
(o - 319)*(o + 1)*(o + 2)/6
Let w = 1261 + -1259. Let u(a) be the third derivative of -1/80*a**6 + 9*a**w + 0*a**3 + 1/16*a**4 + 0*a + 0*a**5 + 0. Factor u(i).
-3*i*(i - 1)*(i + 1)/2
Let v(w) be the second derivative of w**7/12600 - w**6/1800 - 7*w**5/120 + w**4/12 + 77*w**3/6 + 145*w. Let t(f) be the third derivative of v(f). Factor t(y).
(y - 7)*(y + 5)/5
Let l(i) be the second derivative of -i**9/15120 + i**7/4200 + 19*i**3/6 + i**2 - 2*i - 30. Let o(j) be the second derivative of l(j). Factor o(c).
-c**3*(c - 1)*(c + 1)/5
Let k(v) be the second derivative of -v**5/20 - 271*v**4/4 - 541*v**3/2 - 811*v**2/2 - 628*v. Find o such that k(o) = 0.
-811, -1
Let z(j) = -j**2 + 12*j - 6. Let l be z(12). Let f be -5*3*l/45. Let 21*w**2 + 24*w**f - 10*w - 2*w - 47*w**2 = 0. Calculate w.
-6, 0
Let t = -404 - -407. Factor 10*b**t + 661 - 5*b**4 + 661 - 10*b - 1317.
-5*(b - 1)**3*(b + 1)
Let l be (140/(-49) - -5) + 41/(-287). Factor -1/3*x**l + 0*x + 1/3.
-(x - 1)*(x + 1)/3
Let t(w) be the first derivative of -w**6/480 - 11*w**5/80 - 21*w**4/32 - 215*w**3/3 - 215. Let n(l) be the third derivative of t(l). Factor n(i).
-3*(i + 1)*(i + 21)/4
Let m be 596/52150*50/4. Factor 625/7 + m*y**2 - 50/7*y.
(y - 25)**2/7
Let z(y) be the first derivative of -101 + 1/12*y**3 - 27/2*y**2 + 729*y. Let z(p) = 0. What is p?
54
Let x(y) be the third derivative of -y**8/112 + 9*y**7/70 - 13*y**6/20 + 9*y**5/10 + 27*y**4/8 - 27*y**3/2 - 131*y**2. Let x(q) = 0. What is q?
-1, 1, 3
Find i such that -12*i**2 + 50*i - 4*i**5 - 8 - 2*i**2 - 32*i**2 - 4*i**4 + 5*i**4 - 37*i**2 + 44*i**3 = 0.
-4, 1/4, 1, 2
Let a(d) be the third derivative of 0 + 0*d**3 + 3/32*d**4 + 1/320*d**6 + 0*d + 7/160*d**5 - 40*d**2. Factor a(f).
3*f*(f + 1)*(f + 6)/8
Suppose -12*x - 30 = -7*x. Let w(u) = -u**2 - 10*u - 12. Let t be w(x). Solve 5 + t*z - 2 - 3*z**3 - 3*z**2 - 9*z = 0.
-1, 1
Let g = -2 - -6. Let l be (672/(-147) - 18)*2/(-4)*14. Factor 0*n**3 + g + 4*n**2 + 8*n**3 - l*n - 6*n**4 + n**5 + 149*n - 2*n**2.
(n - 4)*(n - 1)**3*(n + 1)
Suppose -14 = -5*o + 4*g, 15*g - 13*g = -5*o + 38. Factor -64*h**4 - o*h**3 + 3*h + 52*h**4 + 0*h**3 + 4*h**2 - 5*h**5.
-h*(h + 1)**3*(5*h - 3)
Let v(j) be the third derivative of 87*j**2 - 1/735*j**7 + 1/140*j**6 + 0*j + 0*j**3 - 1/28*j**4 + 1/210*j**5 + 0. Factor v(h).
-2*h*(h - 3)*(h - 1)*(h + 1)/7
Let s be ((-4)/(-2))/(0 - -5). Let r be 12/72*(-46 - (-1652)/35). Factor -1/5*x**2 - r - s*x.
-(x + 1)**2/5
Suppose 4*t - 3*t = 3, -5*c - t + 103 = 0. Let z = 22 - c. Let -16/5*a - 32/5 + 14/5*a**z - 2/5*a**3 = 0. What is a?
-1, 4
Suppose -x = -5*f - 5*x + 10, 5*x = -5*f + 10. Let v be f + (10/(-5) - -2). Factor 30*t - 90*t + 63 + 17 + 5*t**4 - 100*t + 120*t**v - 40*t**3.
5*(t - 2)**4
Let f(t) = -2*t**2 + 12*t + 2. Let g be f(5). Suppose 6*q - g = 2*q. Determine k, given that -2 - 4*k**2 - k + 3*k + k**q + 3*k = 0.
1, 2
Let o(x) = -3*x**3 + 587*x**2 - 28777*x + 28227. Let q(l) = -66*l**3 + 12915*l**2 - 633078*l + 620994. Let i(s) = 45*o(s) - 2*q(s). Solve i(v) = 0.
1, 97
Let z(t) be the first derivative of -51 + 1/2*t**6 - 9/2*t**4 + 15/2*t**2 - 9*t + 3/5*t**5 + 2*t**3. What is k in z(k) = 0?
-3, -1, 1
Let a(c) be the first derivative of 15*c**2/2 + 63*c - 403. Let k be a(-4). Solve 15*v**2 + 0 + k*v**4 - 3*v - 51/4*v**3 = 0 for v.
0, 1/4, 2
Let t be 0 + -3 + -5 + 11 - 198. Let k = 605/3 + t. Suppose 12*d**2 + 0 + 8/3*d + k*d**4 + 16*d**3 = 0. What is d?
-1, -2/5, 0
Let w be (-2)/40 + (-7)/70 + 6/8. Factor 0 + 0*j**2 + 3/5*j**3 - w*j.
3*j*(j - 1)*(j + 1)/5
Let r be 23*(-2)/(-138) + 0. Let c(o) be the third derivative of 0 - 29*o**2 + 0*o + 1/90*o**5 + r*o**3 - 1/9*o**4. Suppose c(a) = 0. What is a?
1, 3
Let a(k) be the second derivative of 841*k**6/150 + 2349*k**5/50 + 1839*k**4/20 - 486*k**3/5 + 162*k**2/5 - 912*k. Determine n so that a(n) = 0.
-3, 6/29
Find z such that 496/7*z - 1/7*z**3 + 121/7*z**2 + 500/7 = 0.
-2, 125
Let t be (-44)/(-40 - (-51 - -33)). Find r, given that 9248/23 - 272/23*r + 2/23*r**t = 0.
68
Find a, given that -416/3*a - 10/3*a**4 - 64 - 308/3*a**2 - 94/3*a**3 = 0.
-4, -12/5, -2, -1
Let s(z) = 5*z**2 + 6*z - 105. Let y be s(8). Suppose b = -y + 268. Determine h so that -1/2*h**b + 0 + h**4 + 0*h**3 - h**2 + 1/2*h = 0.
-1, 0, 1
Determine a, given that -786/7*a + 9/7*a**3 - 32 + 143*a**2 = 0.
-112, -2/9, 1
Let r(m) be the first derivative of m**4 - 105 - 9/2*m**2 - 5*m - 3/20*m**5 + 1/4*m**3. Find k, given that r(k) = 0.
-1, -2/3, 2, 5
Let x(h) be the second derivative of -7 - 324/5*h**2 + 2*h - 3/100*h**5 - 9/10*h**4 - 54/5*h**3. Determine p so that x(p) = 0.
-6
Let j = -439 - -443. Let p be (14/(-27))/(j/(-24)). Factor p*h - 4/9*h**2 - 8/3.
-4*(h - 6)*(h - 1)/9
Suppose -1/4*w**2 - 299/2*w - 89401/4 = 0. Calculate w.
-299
Let v(s) = -418*s**2 - 8*s + 8. Let i be v(2). Let k be (2/7)/((-180)/i). Factor k*c**2 - 2 + 22/3*c.
2*(c + 3)*(4*c - 