q(s) = -890*s - 1776. Let i be q(-2). Let v(m) be the first derivative of -19 - 3/16*m**i + 3/8*m**2 - 3/4*m**3 + 9/4*m. Factor v(r).
-3*(r - 1)*(r + 1)*(r + 3)/4
Let c(p) = 7*p - 38. Let v be c(6). Suppose 2*k + 8 = 0, 44*k - 12 = v*l + 49*k. Factor -4/7 - 1/7*j**3 + 3/7*j**l + 0*j.
-(j - 2)**2*(j + 1)/7
Let n(r) be the third derivative of 0*r**3 - 3/4*r**4 - 1/504*r**8 - 66*r**2 + 2/315*r**7 + 0 + 0*r + 1/15*r**6 - 1/5*r**5. Solve n(w) = 0 for w.
-3, -1, 0, 3
Let g(z) be the third derivative of -z**7/1470 - z**6/40 - 3*z**5/70 + 5*z**4/21 + 3416*z**2. Factor g(n).
-n*(n - 1)*(n + 2)*(n + 20)/7
Let g(j) be the third derivative of j**5/12 - 1675*j**4/4 - 19*j**2 - 2*j - 21. Factor g(l).
5*l*(l - 2010)
Let a(n) be the first derivative of -n**4/4 + 4*n**3/3 - 15*n**2 + 84*n - 810. Let l be a(3). Let 0 - 16/11*r**l + 14/11*r**2 + 2/11*r = 0. Calculate r.
-1/8, 0, 1
Let x(s) be the third derivative of s**6/480 + 2*s**5/5 - 33*s**4/8 + 50*s**3/3 - 21*s**2 - 2*s - 55. Factor x(b).
(b - 2)**2*(b + 100)/4
Let d = -1570989/8 + 196944. Factor -d*p - 117/8*p**2 - 1/8*p**3 - 59319/8.
-(p + 39)**3/8
Let i be (-118)/(-8) + ((-351)/36 - -10). Factor -6*n**4 - i*n + n**4 + 20*n**3 + 26*n**2 + n**4 + 6*n**2 - 33*n.
-4*n*(n - 6)*(n - 1)*(n + 2)
Let c = -1030714/7 + 146901. Let q = 349 + c. What is x in 216/7*x - q*x**2 - 432/7 + 2/7*x**3 = 0?
6
Let l(x) be the second derivative of -x**6/6 + 249*x**5/4 + 5035*x**4/12 + 2105*x**3/2 + 1265*x**2 + 2*x - 66. Solve l(g) = 0.
-2, -1, 253
Let k = -17 + 19. Suppose k*q - 5*f - 46 = q, 3*q - 86 = 2*f. Factor -22*x + q*x + 3*x**2 + x**2.
4*x*(x + 1)
Let m(j) be the second derivative of 0 + 64/3*j**2 - 146*j - 4*j**3 + 1/9*j**4. Factor m(q).
4*(q - 16)*(q - 2)/3
Let v = -279/907 - -5999/13605. Let 0 - 2/5*o**2 + v*o**3 + 4/15*o = 0. What is o?
0, 1, 2
Let q(x) = 2*x - 13. Let p(b) = b - 1. Let h(d) = 4*p(d) - q(d). Let w be h(0). Factor -4*m - 2*m + 3*m**3 - w*m**2 - m**3 + 13*m**2.
2*m*(m - 1)*(m + 3)
Let n(j) = -j**2 - 27*j + 126. Let k be n(-31). Determine l, given that -12*l**3 + 5*l**k + 5*l**4 - 7*l + 7*l + 20*l**3 - 18*l**3 = 0.
0, 1
Let v = -19306/1865 + 5204/373. Suppose -4*i**2 + v + 2/5*i**4 + 16/5*i - 16/5*i**3 = 0. Calculate i.
-1, 1, 9
Factor 99/7*a**4 + 3/7*a**5 + 954/7*a**3 + 2298/7*a**2 + 675/7 + 2115/7*a.
3*(a + 1)**3*(a + 15)**2/7
Let y(k) be the first derivative of 8*k**3 + 843*k**2/2 + 105*k - 5133. Factor y(p).
3*(p + 35)*(8*p + 1)
Let c(p) be the third derivative of -p**5/20 - 27*p**4/8 - 36*p**3 - 226*p**2 + 2*p. Factor c(w).
-3*(w + 3)*(w + 24)
Find f, given that 256/5*f**5 + 1296/5*f + 448/5*f**4 - 1008/5*f**2 + 0 - 956/5*f**3 = 0.
-2, 0, 9/8
Let s(r) be the third derivative of r**9/20160 - r**8/1120 + r**7/140 - r**6/30 - 59*r**5/15 - 162*r**2. Let k(p) be the third derivative of s(p). Factor k(w).
3*(w - 2)**3
Let c be 1 + 0/(-3) + 1. Let r be -3*((-5)/1 - -4). Find p such that 3*p**2 - 9*p**3 + 3*p - p**c + 8*p**r = 0.
-1, 0, 3
Let q = 67/154 + -1933/4620. Let h(v) be the third derivative of 0*v + 0*v**3 - q*v**6 - 1/3*v**4 + 0 + 30*v**2 - 1/6*v**5. Suppose h(o) = 0. What is o?
-4, -1, 0
Let u(b) = b**2 + 6462*b + 160957. Let f be u(-25). Let x = -1/70 + 143/210. Factor f*q + 128/3 + 8*q**2 + x*q**3.
2*(q + 4)**3/3
Suppose -h + 177 = -56*q + 60*q, 4*q - 4*h - 152 = 0. Let i(z) be the first derivative of 3/5*z**2 - 2/25*z**5 + 1/10*z**4 - q + 0*z + 2/3*z**3. Factor i(b).
-2*b*(b - 3)*(b + 1)**2/5
Let f = -1231581 - -1231581. Factor 2/5*h + 2/5*h**3 + 4/5*h**2 + f.
2*h*(h + 1)**2/5
Let u(a) be the third derivative of a**6/540 + 2*a**5/3 + 119*a**4/36 + 178*a**3/27 - 2*a**2 + 2680*a. Determine x so that u(x) = 0.
-178, -1
Let c(s) be the second derivative of 1/60*s**6 - 1/10*s**5 + 0*s**2 + 0 + 5/24*s**4 - 1/6*s**3 - 78*s. Find z such that c(z) = 0.
0, 1, 2
Let r be ((-18)/(-15))/((-2)/10). Let s(v) = -494*v**2 + 100*v - 5. Let f(k) = 493*k**2 + 9 + 51*k - 11 + 7 - 151*k. Let o(g) = r*f(g) - 7*s(g). Factor o(m).
5*(10*m - 1)**2
Suppose -20*j + 45 = -29*j. Let u(m) = m**2 + m + 1. Let p be (-2)/(-3*6/(-45)). Let b(h) = -2*h**2 - 3*h - 2. Let a(z) = j*u(z) + p*b(z). Factor a(w).
5*(w + 1)**2
Let v(g) = -5*g**3 - 95*g**2 + 209*g - 4. Let k be v(-21). Let h(z) be the second derivative of 2*z**2 - z**3 + 0 + k*z + 1/6*z**4. Factor h(j).
2*(j - 2)*(j - 1)
Let d(h) be the third derivative of 1/84*h**6 - 3*h**2 - 1/30*h**5 + 1/735*h**7 - 5/84*h**4 + 0*h + 2/7*h**3 + 34. Factor d(g).
2*(g - 1)**2*(g + 1)*(g + 6)/7
Let y(d) be the first derivative of 30*d + 268 - 3/5*d**5 - 87/2*d**2 + 27*d**3 - 21/4*d**4. Factor y(b).
-3*(b - 1)**3*(b + 10)
Let h(g) be the first derivative of g**6/6 - 134*g**5/5 + 2969*g**4/2 - 28260*g**3 - 103275*g**2/2 + 182250*g + 142. Let h(f) = 0. Calculate f.
-2, 1, 45
Let d(l) = 2*l**2 - 96*l + 518. Let c(i) = 5*i**2 - 193*i + 1038. Let b(f) = -4*c(f) + 9*d(f). Factor b(p).
-2*(p - 5)*(p + 51)
Let q(i) be the first derivative of 10*i**3/3 - 16*i**2 + 26*i + 918. Let r be q(2). What is z in -r*z**2 + 22/7*z - 8/7 = 0?
4/7, 1
Let l(k) be the second derivative of -k**4/12 - 13*k**3/6 + 3*k**2/2 + 213*k - 2. Let q be l(-13). What is i in 28/5*i**q - 4*i**2 - 8/5*i + 0 = 0?
-2/7, 0, 1
Let x = 29/28 - 5/28. Let a = -296671 - -296673. Let 6/7*r**3 - x*r**a + 2/7*r - 2/7*r**4 + 0 = 0. What is r?
0, 1
Let q = 92020 + -92020. Factor q - 8/3*s - 4/3*s**3 + 14/3*s**2 - 2/3*s**4.
-2*s*(s - 1)**2*(s + 4)/3
Suppose 0 + 39/7*x - 1/7*x**2 = 0. What is x?
0, 39
Let a(y) = 37*y + 8. Let f be a(3). Let x = f + -116. Factor 40*i**x - 5*i**4 + 63*i - 105*i**2 + 27*i + 0*i.
-5*i*(i - 3)**2*(i - 2)
Let m(d) = -4*d**2 + 20*d + 24. Suppose 4*h + v + 2 = 14, -5*h = v - 14. Let j(u) = -u**2 - u. Let k(a) = h*j(a) - m(a). Solve k(g) = 0.
-1, 12
Let f(d) be the third derivative of -d**8/168 - 17*d**7/105 + 4*d**6/3 - 14*d**5/5 - 2*d**2 - 857. Factor f(s).
-2*s**2*(s - 2)**2*(s + 21)
Let z(w) = w**3 - 3*w**2 - 36*w + 2. Let f be z(9). Factor -10*n + f - 6*n - 146 + n + 3*n**2.
3*(n - 3)*(n - 2)
Let s(b) be the second derivative of 2/7*b**7 + 2/3*b**6 - 1 - 5/3*b**4 - 11*b + 4/3*b**3 + 0*b**2 - b**5. Solve s(m) = 0.
-2, -1, 0, 1/3, 1
Suppose -22 - 2 = -4*p - 12. Let b(t) be the third derivative of -9/2*t**4 + 0 + 9/5*t**5 + 2/105*t**7 - 3/10*t**6 + 0*t**p + 18*t**2 + 0*t. Factor b(m).
4*m*(m - 3)**3
Let d(k) be the second derivative of k**4/4 + 465*k**3/2 - 699*k**2 - 235*k. Find s, given that d(s) = 0.
-466, 1
Let a = 12 + -15. Let w be (3 + -2)*(5 + a). Factor -21*f**w + 36*f - 8 + 23*f**2 + 42*f**2.
4*(f + 1)*(11*f - 2)
Let g(a) be the first derivative of -164 + 0*a - 2/5*a**2 + 2/15*a**3 + 1/2*a**4 + 4/25*a**5. Let g(l) = 0. Calculate l.
-2, -1, 0, 1/2
Find p such that -28/9*p**4 + 2/9*p**5 - 200/9*p**2 + 76/3 - 20*p**3 + 178/9*p = 0.
-3, -2, -1, 1, 19
Factor -3/8*g**2 + 231/4*g + 0.
-3*g*(g - 154)/8
Let i(j) = -5*j**2 + 20*j + 2. Let h(d) = -35 - 15*d**2 + 19*d + 42*d + 44 + 17*d - 6*d**2. Let m(r) = 2*h(r) - 9*i(r). Factor m(b).
3*b*(b - 8)
Let l(k) be the third derivative of -11*k**8/1512 + k**7/105 + 101*k**6/540 + 139*k**5/270 + 11*k**4/18 + 8*k**3/27 + 2*k**2 + 2*k - 1778. Solve l(o) = 0.
-1, -2/11, 4
Let h = -64 + 67. What is p in 21*p**2 + 6*p - 10*p + p + 6*p**h - 24*p**3 = 0?
0, 1/6, 1
Suppose 2*j + 5*h = 133 + 16, 2*h - 2 = 0. Let k be (1/2)/(12/j). Factor -5*o**5 - 22*o**3 - 7*o + 32*o**k + 2*o.
-5*o*(o - 1)**2*(o + 1)**2
Let i = -8/47 - -542/423. Let w be -18 + (-29)/((-3915)/2490). Factor w - i*a**2 + 2/3*a.
-2*(a - 1)*(5*a + 2)/9
Suppose -2*o = 3*f - 7, 3*f + 3*o = 8*f - 37. Let p(r) = r - 16. Let a be p(18). Find x, given that 10*x**a - x**3 - 13*x**2 + 3*x - f*x**3 = 0.
-1, 0, 1/2
Let q(c) be the third derivative of c**7/245 - c**6/7 + 64*c**5/35 - 64*c**4/7 + 5112*c**2. Factor q(p).
6*p*(p - 8)**2*(p - 4)/7
Let a(y) be the first derivative of y**6/72 - 5*y**5 + 750*y**4 - 3*y**3 - y**2 - 221. Let r(t) be the third derivative of a(t). Let r(f) = 0. Calculate f.
60
Let c(h) be the second derivative of h**7/21 + 52*h**6/15 + 721*h**5/10 + 521*h**4/3 - 2900*h**3/3 - 5000*h**2 + 2454*h. Determine g, given that c(g) = 0.
-25, -2, 2
Let q(p) = -4*p**4 + 4*p**3 - 26*p**2 + 41*p - 5. Let x(c) = -c**4 + c**3 - c**2 + 3. Let b(k) = 3*q(k) - 15*x(k). Let b(w) = 0. What is w?
-5, 1, 4
Find q such tha