6080*v - 113. Determine l, given that m(l) = 0.
-202, 1/4, 2
Let l(m) be the second derivative of -m**4/6 - 1783*m**3/3 - 1782*m**2 - 2267*m. Determine s, given that l(s) = 0.
-1782, -1
Let i be (-2)/((-2)/(-1)) + (-3 - -17). Solve 0 + i*f**2 - 2447*f - 4 + 2456*f = 0 for f.
-1, 4/13
Let h(d) be the first derivative of 320*d**3/3 + 3480*d**2 + 37845*d - 1496. Solve h(n) = 0.
-87/8
Let k be ((-272)/10)/((-30)/600). Let s = k - 3802/7. Factor -s*l**5 + 0 - 3/7*l**2 + 3/7*l + 15/7*l**4 - 9/7*l**3.
-3*l*(l - 1)**3*(2*l + 1)/7
Let k(j) be the third derivative of -284*j**2 - 1/8*j**5 - 1/420*j**7 + 0*j + 4/3*j**3 + 17/240*j**6 - 17/48*j**4 + 0. Factor k(y).
-(y - 16)*(y - 1)**2*(y + 1)/2
Let z(q) be the third derivative of q**7/420 + q**6/90 - 7*q**5/60 + q**4/3 + 17*q**3/6 + 12*q**2. Let i(r) be the first derivative of z(r). Factor i(y).
2*(y - 1)**2*(y + 4)
Let j be (-9)/4*(0 + 0 + -4). Solve -35*r**3 + j*r**2 - 9 + r**2 + 35*r - 1 = 0.
-1, 2/7, 1
Suppose 79*n + 1394 = 776*n. Suppose -8/3 - n*h**2 + 4*h + 1/3*h**3 = 0. Calculate h.
2
Suppose -17*n + 8 + 26 = 0. Let r be 2/6 - (-87)/9. What is o in 5 - 13 - n*o**2 + o - o**3 + r = 0?
-2, -1, 1
Let -71/5*f**3 + 0 - 116/5*f**2 - 16/5*f**4 - 1/5*f**5 - 12*f = 0. Calculate f.
-10, -3, -2, -1, 0
Let f(m) = m**4 - m**3 - 2*m**2 + 5*m. Let y(x) = 181*x**4 - 1186*x**3 - 3642*x**2 - 2450*x - 180. Let i(h) = f(h) - y(h). Suppose i(c) = 0. What is c?
-4/3, -1, -1/12, 9
Factor -4*z**3 - 226*z**2 - 98*z**2 + 2*z**3 + 234*z + 4*z**3 + 88*z.
2*z*(z - 161)*(z - 1)
Let -356/9*p**3 - 16 + 4*p**4 + 1148/9*p**2 - 388/3*p = 0. Calculate p.
-1/9, 3, 4
Let a(p) be the third derivative of -p**6/30 - 32*p**5/3 - 314*p**4/3 - 416*p**3 - 208*p**2. Factor a(q).
-4*(q + 2)**2*(q + 156)
Let 159 + 483/2*o + 9/2*o**2 = 0. What is o?
-53, -2/3
Let c(v) be the first derivative of -v**3/3 - 15*v**2/2 - 26*v - 4392. Factor c(t).
-(t + 2)*(t + 13)
Let z(y) = -3*y**2 + 41*y. Let j be 216/(-270)*5/(-2). Let c(g) = -6*g**2 + 80*g. Let k(p) = j*c(p) - 5*z(p). Determine b so that k(b) = 0.
0, 15
Let o be (-11 - 43)/(-9) - 3. Let t(r) be the first derivative of 4 + 1/3*r**o + 3*r**2 + 8*r. Factor t(s).
(s + 2)*(s + 4)
Suppose 981371 - 981623 = -126*q. Factor 16/7*t + 40/7 - 2/7*t**q.
-2*(t - 10)*(t + 2)/7
Let j be (-1338300)/(-32714)*(-44)/(-6). Factor j - 20*o + 1/3*o**2.
(o - 30)**2/3
Let y(h) be the second derivative of h**4/3 + 88*h**3/3 - 533*h. Factor y(f).
4*f*(f + 44)
Find t such that -3668*t**2 - 10*t**4 + 1940598 + 8*t**4 + 4*t**4 - 299*t**3 - t**4 + 33665*t**2 - 1029105*t = 0.
2, 99
Let w(z) be the third derivative of -z**8/1344 - z**7/12 - 317*z**6/96 - 87*z**5/2 + 270*z**4 - 576*z**3 - 23*z**2 + 9. Factor w(i).
-(i - 1)**2*(i + 24)**3/4
Let n(w) be the third derivative of -w**7/70 + 47*w**6/10 - 4511*w**5/10 + 4371*w**4/2 - 8649*w**3/2 - 2116*w**2. Factor n(c).
-3*(c - 93)**2*(c - 1)**2
Let c(a) = -6 - 2*a**3 - 3*a - 27*a**2 - 27*a**2 - 21*a**2 + 74*a**2. Let o be c(-2). Determine j so that -26*j + o*j**3 - 12*j**2 - 22*j + 52*j - 4*j**4 = 0.
0, 1
Let u(b) be the first derivative of 5*b**4 + 1625*b**3/3 + 405*b**2/2 - 285. What is y in u(y) = 0?
-81, -1/4, 0
Let u(q) be the first derivative of 5*q**3/3 + 855*q**2/2 - 1730*q - 10515. Factor u(p).
5*(p - 2)*(p + 173)
Suppose 3*r + 6 = -0. Let h be (-9 - -12) + 0/r. Solve -h*i + i**2 + 0*i**2 + i = 0.
0, 2
Let g(w) be the second derivative of -w**5/5 - 13*w**4/3 + 40*w**3/3 + 168*w**2 - 131*w + 4. Determine u, given that g(u) = 0.
-14, -2, 3
Let k(l) be the first derivative of -l**7/5460 + l**5/260 - l**4/78 - 11*l**3/3 + 67. Let y(p) be the third derivative of k(p). Let y(j) = 0. What is j?
-2, 1
Let j = -9513 - -9515. Let g(a) be the third derivative of 0*a - 10*a**j + 1/180*a**5 + 5/72*a**4 + 1/3*a**3 + 0. Factor g(w).
(w + 2)*(w + 3)/3
Let x = -74915 + 74917. Find f such that 1/5*f - 2/5*f**4 + 2/5*f**x + 0 + 0*f**3 - 1/5*f**5 = 0.
-1, 0, 1
Let x(k) be the second derivative of 2*k**6/15 + k**5 - 13*k**4/3 + 14*k**3/3 + 943*k. Factor x(p).
4*p*(p - 1)**2*(p + 7)
Let l(s) be the first derivative of -s**6/630 + 17*s**5/105 - 289*s**4/42 - 7*s**3/3 + 4*s - 115. Let d(b) be the third derivative of l(b). Factor d(v).
-4*(v - 17)**2/7
Let f(i) be the first derivative of 0*i**4 - 1/2340*i**6 - 40/3*i**3 - 33 + 1/130*i**5 + 0*i + 0*i**2. Let t(r) be the third derivative of f(r). Factor t(o).
-2*o*(o - 6)/13
Let a = 6 - -2. Let b = 365 - 362. Factor -6*w + 0*w**3 + 16*w**2 + a*w + 32*w**b.
2*w*(4*w + 1)**2
Let l(j) be the second derivative of j**8/560 + j**7/140 + j**6/120 - 65*j**3/6 + 35*j. Let v(o) be the second derivative of l(o). Solve v(g) = 0 for g.
-1, 0
Let q = -9583 + 9591. Let g(n) be the first derivative of q*n**2 - 32*n + 26 + 8*n**3 + 4/5*n**5 - 5*n**4. Factor g(c).
4*(c - 2)**3*(c + 1)
Let r be (2709/14)/9 - 20. Suppose -2*m - 14 = -5*o + 2*o, 0 = 2*o - m - 8. Factor r + 1/2*c - c**o.
-(c + 1)*(2*c - 3)/2
Let f(s) be the first derivative of -s**5/8 - 17*s**4/24 - s**3/2 + 149*s + 223. Let v(l) be the first derivative of f(l). Determine h so that v(h) = 0.
-3, -2/5, 0
Let m(c) be the first derivative of 9 + 1/160*c**5 + 1/960*c**6 + 1/64*c**4 - 38/3*c**3 + 0*c + 0*c**2. Let u(p) be the third derivative of m(p). Factor u(n).
3*(n + 1)**2/8
Let m(u) be the second derivative of -u**4/30 + 118*u**3/15 + 119*u**2/5 - 883*u - 3. Factor m(j).
-2*(j - 119)*(j + 1)/5
Let p(t) be the second derivative of -t**6/75 + 78*t**5/25 - 6083*t**4/30 - 52*t**3/5 + 6084*t**2/5 - t + 52. Solve p(q) = 0 for q.
-1, 1, 78
Suppose 0 = 3*z - 0*z - 6. Let t be (4/10)/(z/10). Solve -29*n**3 - 20*n - 5 - 14*n**t - 5*n**4 - 20*n**2 + 4*n**2 + 9*n**3 = 0.
-1
Let f(y) be the first derivative of -290 + 0*y + 2/3*y**3 + 5*y**2. Factor f(o).
2*o*(o + 5)
Let h = 13/15319 + 410349910/168509. Let l = 2439 - h. Find q, given that -2 - 2/11*q**3 - 18/11*q**2 + l*q = 0.
-11, 1
Let o be (2/(-7))/((-24)/336). Suppose -14 = -f + o. Factor 7*h**2 - 10*h + 20*h + 20*h**3 + 5*h**4 + f*h**2.
5*h*(h + 1)**2*(h + 2)
Suppose 403*j - 401*j = 8, -4*j + 31 = 5*h. Let r(d) be the first derivative of -5/3*d**h - 5 - 20*d + 10*d**2. Factor r(a).
-5*(a - 2)**2
Let y = 575686/7 + -82240. Solve -y*a**2 - 26/7*a + 2/7*a**3 + 30/7 = 0 for a.
-3, 1, 5
Let a = -82116 - -82120. Let s = 185 - 1663/9. Let 0*v + 0 + 0*v**2 - s*v**5 - 4/9*v**3 - 2/3*v**a = 0. What is v?
-2, -1, 0
Let k = -4/4405 - 246572/118935. Let p = k + 679/54. What is a in p*a + 3/4*a**2 + 147/4 = 0?
-7
Let w(l) = -2*l - 9. Let y be w(-6). Suppose 11*c - 84 = -18. Let -c*k**y + 4*k**3 - 24*k**2 + 16*k**2 = 0. What is k?
-4, 0
Suppose -1325 = -2*d + 30*r - 25*r, -4*r - 3270 = -5*d. Let o = d + -2501/4. Factor -121/4 + o*u + 21/4*u**2 + 1/4*u**3.
(u - 1)*(u + 11)**2/4
Let s = -79978 + 159957/2. Let q be (-2)/(-3) + 2/(-12). Let -s + q*j - 1/8*j**2 = 0. Calculate j.
2
Let m = -8237/1505 + 1828/301. Factor 117/5*n**2 + 0*n + 0 - m*n**3.
-3*n**2*(n - 39)/5
Let q(u) = -16 + 5*u + 5 - 20. Let g be q(16). Suppose -18*y**2 + 34*y**2 + 10*y + 29*y**2 - g*y**4 + 28*y**3 + 4 - 38*y = 0. Calculate y.
-1, 2/7, 1
Let u = -368 + 373. Suppose 2*v - 4*g + 6 = 0, -2*v - u*g = -6*g - 3. What is o in 5/4 + o + 1/4*o**4 - o**v - 3/2*o**2 = 0?
-1, 1, 5
Let y(u) be the second derivative of 0*u**3 - 1/20*u**5 - 1/4*u**4 + 0 - u + 3*u**2. Let d(f) be the first derivative of y(f). Solve d(n) = 0 for n.
-2, 0
Let x(z) = 192*z + 2690. Let q be x(-14). Let u(t) be the second derivative of -10/3*t**3 + 5/12*t**4 + 15*t + 15/2*t**q + 0. Factor u(j).
5*(j - 3)*(j - 1)
Let t(b) be the first derivative of b**4/4 + 461*b**3/3 - 634. Determine s so that t(s) = 0.
-461, 0
Let y(l) be the third derivative of 0 + 77*l**2 + 0*l + 0*l**3 + 0*l**4 + 0*l**5 + 1/280*l**6. What is a in y(a) = 0?
0
Let u be (2 + (10 - 4351/361))*-36. Suppose 0 = -7*p + 2*p + 10. Factor -10/19*t**4 + 0 - 16/19*t - 24/19*t**p + u*t**3.
-2*t*(t - 2)**2*(5*t + 2)/19
Let p = 42 + -19. Suppose 29 - p = 2*d. What is l in -12*l**2 + 15*l**2 - l**4 - 5*l**2 + d*l**3 = 0?
0, 1, 2
Let c(p) = -p**3 + 19*p**2 + 21*p - 8. Let s be c(20). Let t be (-1 - 2)/((-18)/s). Determine d so that 11*d + d**t - 3*d + 49 + 6*d = 0.
-7
Let u(i) be the second derivative of i**6/10 + 9*i**5/10 + i**4/4 - 12*i**3 + 24*i**2 + 1075*i. Factor u(b).
3*(b - 1)**2