k + 2*m = -4*k - 158, -15 = -3*m. Let w be ((216/k)/6)/((-8)/(-7)). What is i in w*i**3 - 15/4*i - 9/4 - 3/4*i**2 = 0?
-1, 3
Let z(y) be the first derivative of y**6/360 + y**5/30 + y**4/8 + 10*y**3/3 - 5. Let k(a) be the third derivative of z(a). Find h, given that k(h) = 0.
-3, -1
Let g be -1 + (-24)/(-42) - 5062/14. Let x = 362 + g. Solve x*r + 3/7*r**3 + 0 - 12/7*r**2 = 0 for r.
0, 4
Let f = -1394 - -1198. Let m be 4/((-168)/(-225)) + 168/f. Factor 0*d**2 - 3/2*d**4 + m*d**3 - 6*d + 0.
-3*d*(d - 2)**2*(d + 1)/2
Let j(u) be the first derivative of 2*u**5/15 - 169*u**4/3 + 57794*u**3/9 - 18928*u**2 + 18816*u - 2001. Factor j(h).
2*(h - 168)**2*(h - 1)**2/3
Let o = -1148335 - -1148337. Factor 0*m**o - 1/6*m**3 + 1/2*m + 1/3.
-(m - 2)*(m + 1)**2/6
Let n(g) be the third derivative of -2/3*g**3 - 1/3*g**4 - 1/12*g**5 + 0 - 1/120*g**6 + 0*g + 7*g**2. Factor n(f).
-(f + 1)*(f + 2)**2
Let l(p) be the first derivative of 2*p**6/15 - 42*p - 98. Let h(d) be the first derivative of l(d). Factor h(k).
4*k**4
Factor 408/7*z + 2/7*z**2 + 20808/7.
2*(z + 102)**2/7
Let d(p) be the first derivative of p**3/24 - 57*p**2/8 - 115*p/8 - 5217. Determine r, given that d(r) = 0.
-1, 115
Let x(s) be the second derivative of -31*s - 8*s**2 + 4/3*s**4 - 2/3*s**3 + 1/5*s**5 + 0. What is f in x(f) = 0?
-4, -1, 1
Let m(b) be the third derivative of b**8/23520 - b**6/2520 + 13*b**4/24 - b**3/2 - 5*b**2. Let v(j) be the second derivative of m(j). Factor v(f).
2*f*(f - 1)*(f + 1)/7
Let p(c) = c**3 + 26*c**2 - 19*c + 242. Let w be p(-27). Let n be (0 - (-40)/175)/(w/65). Find g such that -16/7 + 0*g + n*g**2 = 0.
-2, 2
Let h be 74/(-3330)*15*-15. Suppose 120/7*f + 1/7*f**h + 188/7*f**2 + 3*f**4 + 102/7*f**3 + 0 = 0. Calculate f.
-15, -2, 0
Let k(g) be the second derivative of 3249/2*g**2 + 19*g**3 + 1/12*g**4 + 0 + 156*g. Factor k(z).
(z + 57)**2
Let i(b) be the second derivative of 1/42*b**3 - 71*b + 0 - 1/140*b**5 + 1/21*b**4 - 2/7*b**2. Let i(m) = 0. Calculate m.
-1, 1, 4
Suppose 0 = 11*x - 99 + 77. Factor 3 + 8*q + 0 + 3 - 7*q**2 - 3*q**x - 4*q**3.
-2*(q - 1)*(q + 3)*(2*q + 1)
Let n(j) = 119*j - 711. Let k be n(6). Suppose -3*q + 3 = 3*y, 2 = k*y + 10*q - 6*q. Solve -9/4*w**y - 3*w + 3 + 3*w**3 - 3/4*w**4 = 0.
-1, 1, 2
Let u(h) be the first derivative of -2*h**5/115 - 63*h**4/46 - 1718*h**3/69 + 63*h**2/23 + 1720*h/23 + 12458. Suppose u(d) = 0. Calculate d.
-43, -20, -1, 1
Factor -296/5*x - 48/5 - 28/5*x**4 - 372/5*x**2 - 174/5*x**3.
-2*(x + 2)**3*(14*x + 3)/5
Factor -32*h - 721/3 + 1/3*h**2.
(h - 103)*(h + 7)/3
Let j(r) be the second derivative of r**5/30 - 11*r**4/6 - 148*r**3/9 - 16*r - 129. Solve j(g) = 0.
-4, 0, 37
Let q(h) be the first derivative of 13*h**4/18 + 82*h**3/27 + 10*h**2/3 - 780. Let q(m) = 0. What is m?
-2, -15/13, 0
Let p = 9/334 - -22649/2338. Factor -2/7*n**2 - 578/7 + p*n.
-2*(n - 17)**2/7
Let j be (-6)/(-2) + (-31031)/2184. Let r = j + 34/3. Let 0*p + 0 - 1/4*p**2 + 3/8*p**3 - r*p**4 = 0. What is p?
0, 1, 2
Let o(w) = 6*w**4 + 30*w**3 + 2*w**2 - 62*w. Let z(a) = -a**4 + a**3 - a**2 + 7*a. Let m(c) = -o(c) - 4*z(c). Factor m(k).
-2*k*(k - 1)*(k + 1)*(k + 17)
Let a = 668 - 667. Let i be (26/(-182))/(a/((-7)/2)). Solve -5/6*g**3 - 1/3 + 5/6*g + i*g**4 - 1/6*g**2 = 0.
-1, 2/3, 1
Let c(r) be the first derivative of -r**5/15 + 11*r**4/4 - 230*r**3/9 + 1427. Determine w so that c(w) = 0.
0, 10, 23
Suppose 757*z = 762*z - 3875. Let l = z + -2324/3. Factor 4/3 - 5/3*b + l*b**2.
(b - 4)*(b - 1)/3
Let l(n) = n**3 + 46*n**2 - 81*n. Let g(q) = 2*q**3 + 93*q**2 - 182*q. Let p(s) = 6*g(s) - 13*l(s). What is r in p(r) = 0?
-39, -1, 0
Let d be ((84/18 + -4)*3 - -4) + -2. Let f(c) be the second derivative of -1/18*c**d + 15*c - 2/3*c**2 + 0 + 7/18*c**3 - 1/60*c**5. Find u such that f(u) = 0.
-4, 1
Let f(o) be the first derivative of 2*o**5/5 - 7*o**4/2 - 2*o**3 + 55*o**2 + 100*o + 607. Factor f(c).
2*(c - 5)**2*(c + 1)*(c + 2)
Let f be 1/7 + (-336)/(-49). Suppose -f*i - 5*t = -6*i - 25, 0 = -3*i - 4*t + 20. Let -3/5*k + 3/5*k**3 + i - 3/5*k**4 + 3/5*k**2 = 0. Calculate k.
-1, 0, 1
Suppose 2*v - 12 = -5*n, 13*v + 8 = 4*n + 15*v. Solve 26*b - 29*b**2 - n*b**3 + 24 + 21*b**2 - 6*b = 0.
-3, -1, 2
Let p(s) be the first derivative of -s**4/12 - 93*s**3 - 77841*s**2/2 - 7239213*s + 979. Suppose p(i) = 0. What is i?
-279
Let f(w) be the second derivative of -w**6/396 - 3*w**5/220 - w**4/33 + 2*w**3 + 46*w + 2. Let t(g) be the second derivative of f(g). Factor t(o).
-2*(o + 1)*(5*o + 4)/11
Let p(f) be the first derivative of -f**5/240 - 7*f**4/96 + f**3/3 + 5*f**2/2 + 45. Let x(g) be the second derivative of p(g). What is v in x(v) = 0?
-8, 1
Let q(h) be the first derivative of -1/15*h**4 + 23*h - 12 - 2/5*h**2 - 4/15*h**3. Let d(k) be the first derivative of q(k). What is g in d(g) = 0?
-1
Let q be 3249/(-1036) - 0 - 0 - -2. Let a = 1/148 - q. What is p in 2/7*p**3 + a*p**2 - 2/7*p**4 + p - 1/7*p**5 + 2/7 = 0?
-1, 2
Let x(o) = 9*o**2 - 11*o - 10. Let h(a) be the first derivative of 11*a**3/3 - 6*a**2 - 11*a + 74. Let g(y) = 5*h(y) - 6*x(y). Factor g(b).
(b + 1)*(b + 5)
Suppose 0 + 1536*r + 97/6*r**3 - 1/12*r**4 - 800*r**2 = 0. Calculate r.
0, 2, 96
Let a(w) be the first derivative of -2*w**3/21 + 41*w**2/7 - 660*w/7 + 2436. Factor a(z).
-2*(z - 30)*(z - 11)/7
Let r(v) be the third derivative of v**5/15 + 49*v**4/6 - 440*v**3 - 2*v**2 - 18*v - 11. Factor r(f).
4*(f - 11)*(f + 60)
Let 848*x**2 - 10980*x + 411*x**5 + 8109 + 360*x**3 - 24*x**4 - 839*x**5 + 424*x**5 + 8091 = 0. Calculate x.
-9, 2, 5
Solve 148/7*y**4 - 1360/7*y + 400/7 - 64/7*y**5 + 920/7*y**3 - 44/7*y**2 = 0 for y.
-2, 5/16, 1, 5
Let o(d) be the second derivative of -2/75*d**6 - 98/15*d**3 - 4*d + 5 + 13/25*d**5 + 0*d**2 - 7/3*d**4. Solve o(n) = 0.
-1, 0, 7
Let x(b) be the third derivative of -b**7/4620 + b**6/396 + b**5/660 - 5*b**4/132 + 39*b**3/2 - 22*b**2. Let g(r) be the first derivative of x(r). Factor g(l).
-2*(l - 5)*(l - 1)*(l + 1)/11
Let f(q) = 22*q**3 - 1362*q**2 + 23970*q - 22562. Let p(s) = -2*s**3 + 124*s**2 - 2179*s + 2051. Let a(z) = 6*f(z) + 68*p(z). Suppose a(k) = 0. Calculate k.
1, 32
Let p = -1437 + 2027. Solve 9*q**3 + 11 - 23*q**3 - 554*q**2 + q**4 + p*q**2 - 34*q = 0.
1, 11
Suppose 4*a + 14 = 3*b, -a - 18*b = -14*b - 44. Let 8/11 + 8/11*t**3 - 8/11*t**a - 32/11*t + 30/11*t**2 = 0. What is t?
-2, 1/2, 2
Suppose -315*j - 490 = -1208 - 857. Let r(g) be the second derivative of -24*g + 1/60*g**j + 1/9*g**3 + 5/36*g**4 + 0 - 4/3*g**2. Let r(n) = 0. What is n?
-4, -2, 1
Suppose -5*c + 144 = 7*c. Factor -3*n**2 - 87 + 3*n**2 + 3*n**2 - c*n + 51.
3*(n - 6)*(n + 2)
Let p(o) be the second derivative of o**5/25 - 7*o**4/5 - 110*o**3 - 10406*o**2/5 - 60*o - 4. Factor p(b).
4*(b - 43)*(b + 11)**2/5
Let l(w) = -2*w**4 + w**3 - w**2 + 1. Let c(y) = -4*y**5 + 28*y**4 - 4*y**3 - 20*y**2 + 8. Let h(s) = c(s) + 8*l(s). Suppose h(m) = 0. Calculate m.
-1, 1, 2
Let h be (-4)/(-14) - (3 - 38/14). Let z(o) be the third derivative of 1/60*o**6 + 0*o - 2/3*o**3 + 1/15*o**5 - 1/12*o**4 - 6*o**2 + h. Factor z(n).
2*(n - 1)*(n + 1)*(n + 2)
Suppose -5 = r - 7. Suppose -41*x + 36*x = -4*j - 4, r*j - 8 = 0. Factor 0*y - 2/5*y**5 + 0 + 4/5*y**x - 2/5*y**3 + 0*y**2.
-2*y**3*(y - 1)**2/5
Let i(u) = u**3 - u**2 + 7*u + 6. Let y be i(4). Suppose -y*w + 74 = -90. Factor -3/5*k**3 - 12*k + 24/5*k**w + 48/5.
-3*(k - 4)*(k - 2)**2/5
Let c(m) = 47*m - 89. Let v be c(2). Suppose n = j + 2, -5*n - v = 2*j - 29. Suppose 0*u + 1/2*u**j - 1/2 = 0. What is u?
-1, 1
Let n be 85/850 + (-3)/60*-258. Let x(o) be the first derivative of -3/2*o + 1/12*o**3 + 1/8*o**2 + n. Find p such that x(p) = 0.
-3, 2
Let q(d) = -d**3 + 28*d**2 - 304*d + 4. Let g be q(0). Factor 2/5*v**3 - 1/2*v**2 + 1/10*v**g + 0*v + 0.
v**2*(v - 1)*(v + 5)/10
Let c = 1826254 - 9131247/5. Determine k, given that 6/5 + c*k - 4*k**3 + 2*k**2 - 16/5*k**4 - 3/5*k**5 = 0.
-3, -2, -1, -1/3, 1
Let u be (-5662 - -5638)/(-31 - 2). What is k in 10/11*k + u*k**2 + 2/11*k**3 + 4/11 = 0?
-2, -1
Let w(f) = f**3 + f**2 + 9*f + 26. Let k be w(-4). Let j = -56 - k. Factor 2/15*v - 2/15 + 2/15*v**j - 2/15*v**3.
-2*(v - 1)**2*(v + 1)/15
Let g(h) = -395*h + 40 + 9 + 21 + 20 - 770*h**3 + 1805*h**2. Let j(f) = 35*f**3 - 82*f**2 + 18*f - 4. Let p(n) = -2*g(n) - 45*j(n). Factor p(m).
-5*m*