e -2*i = -3*s + 7, -i = 3*i - d*s + 4. Let 2/9*f + 4/9 - 2/3*f**2 + 2/9*f**i - 2/9*f**3 = 0. Calculate f.
-1, 1, 2
Let p(o) be the second derivative of -o**7/1512 + o**6/432 + o**4/3 - o**3 + 3*o + 21. Let k(m) be the third derivative of p(m). Find a, given that k(a) = 0.
0, 1
Let j(y) be the first derivative of 2/21*y**3 - 1/7*y**2 + 39 + 0*y. Factor j(f).
2*f*(f - 1)/7
Let w be ((-896)/(-1008))/((-4)/(-2))*(-27)/(-6). Let c(f) be the third derivative of -1/12*f**5 + 0*f**3 + 0 - 10*f**w + 0*f + 35/24*f**4. Factor c(q).
-5*q*(q - 7)
Find k, given that 36/5*k**3 - 16/5*k**4 + 2*k - 32/5*k**2 + 0 + 2/5*k**5 = 0.
0, 1, 5
Let y(x) be the third derivative of -1/120*x**6 + 0*x - 1/10*x**5 - 11/24*x**4 - 92*x**2 + 0 - x**3. Solve y(o) = 0.
-3, -2, -1
Factor 2/13*y**2 + 290/13*y + 0.
2*y*(y + 145)/13
Factor 226 + 407*g - g**2 - 394*g - 158.
-(g - 17)*(g + 4)
Let o(b) be the second derivative of -2*b**7/7 + 11*b**6/2 + 39*b**5/10 - 157*b**4/4 - 76*b**3 - 42*b**2 + 2*b - 20. Let o(h) = 0. Calculate h.
-1, -1/4, 2, 14
Let t(w) be the first derivative of -w**4/12 + 17*w**3/30 + 6*w**2/5 - 128*w - 9. Let l(f) be the first derivative of t(f). Factor l(y).
-(y - 4)*(5*y + 3)/5
Solve 376/3*t**2 + 62/3 - 83*t - 254/3*t**3 + 22*t**4 - 1/3*t**5 = 0 for t.
1, 62
Solve 397 + 179 - 66*o**4 + 34*o + 209*o - 3*o**5 - 227*o + 212*o - 315*o**3 - 420*o**2 = 0 for o.
-16, -3, -2, 1
Let w(q) be the first derivative of -11/6*q**3 - 25/4*q**2 + 4*q + 7/32*q**4 + 54. Factor w(p).
(p - 8)*(p + 2)*(7*p - 2)/8
Let i = -206 - -194. Let a be (1 + -5)*1/i - -1. Factor 2*o - a - 2/3*o**2.
-2*(o - 2)*(o - 1)/3
Let q(b) be the first derivative of -82*b**2 - 52*b**3 - 56*b + 35 - 11*b**4 + 4/5*b**5. Factor q(p).
4*(p - 14)*(p + 1)**3
Let o be (-200)/(-85) - 120/340. Let g(r) be the first derivative of 3/2*r**4 + 0*r**3 + 0*r**o + 0*r + 2/5*r**5 + 18. Find i such that g(i) = 0.
-3, 0
Suppose -2*t + 780 = 4*n, 3*t = -t + 5*n + 1534. Suppose -336 = -v + t. Factor 175*p + 66 + v*p**2 - 58 - 23*p.
2*(19*p + 2)**2
Let d be 1*(1258/111 + -11). Determine t so that -4/3*t - d*t**2 + 0 = 0.
-4, 0
Let v(g) be the second derivative of g**5/110 + 47*g**4/22 - 142*g**3/33 - 105*g. Factor v(k).
2*k*(k - 1)*(k + 142)/11
Let w(b) be the third derivative of b**5/60 + 233*b**4/12 + 54289*b**3/6 - b**2 - 27*b. Factor w(s).
(s + 233)**2
Let m be 39417/8085 + 2/11. Let y = -21/5 + m. Factor y*s**2 - 3/7*s - 3/7.
3*(s - 1)*(2*s + 1)/7
Let n(z) be the first derivative of z**4/2 - 2*z**3/3 - 4*z**2 + 8*z - 1053. Find d such that n(d) = 0.
-2, 1, 2
Let x(b) be the first derivative of b**4/30 + 2*b**3/45 - b**2/15 - 2*b/15 + 94. Factor x(a).
2*(a - 1)*(a + 1)**2/15
Suppose 2*d**2 + 182 - d**2 + 8446*d - 7989*d + 4*d**2 = 0. Calculate d.
-91, -2/5
Let g be 1170/1404*((49/(-5))/7 + 2). Solve 0 + 9/2*o**2 + 9/4*o - g*o**4 - 1/4*o**5 + 2*o**3 = 0 for o.
-3, -1, 0, 3
Let b(u) = 15*u - 45. Let c be b(11). Let o be (((-135)/(-21))/3)/(c/105). Factor -o*k**2 - 3/8*k**3 - 3/2*k + 0.
-3*k*(k + 1)*(k + 4)/8
Let n(m) be the second derivative of -14/45*m**6 - 67/30*m**5 + 1/63*m**7 + 234*m + 0 - 4*m**3 - 44/9*m**4 + 0*m**2. Solve n(y) = 0.
-2, -1, 0, 18
Let l be 3/15*-2 - 5428/1180 - -9. Factor 1/3*r**3 + 0*r + 2/3*r**2 + 0 - r**l.
-r**2*(r - 1)*(3*r + 2)/3
Let m(k) be the third derivative of -k**7/1050 - 17*k**6/600 - 7*k**5/50 + 490*k**2 + 2*k. Factor m(n).
-n**2*(n + 3)*(n + 14)/5
Let q(g) = g**2 - g + 1. Let l(o) = 5*o**3 + 185*o**2 - 10*o - 175. Let i(s) = -l(s) + 5*q(s). Solve i(y) = 0.
-36, -1, 1
Let f(r) be the first derivative of -r**7/14 - 2*r**6/5 + 4*r**4 + 8*r**3 + 82*r - 33. Let l(g) be the first derivative of f(g). Suppose l(x) = 0. What is x?
-2, 0, 2
Determine j so that 996*j**2 - 43380*j - 29322*j - 4*j**3 - 43401*j - 78441 + 2365589 + 33435*j = 0.
83
Let o(b) be the third derivative of -b**6/20 - 7*b**5/4 + 49*b**4/4 - 20*b**3 - 9*b**2 - 204. Factor o(x).
-3*(x - 2)*(x + 20)*(2*x - 1)
Let g be (-2*(-633)/4)/(12/32). Find b, given that -737*b**3 + 6 - 43*b**3 - 484*b - 767*b**2 - 543*b**4 - g*b**2 - 843*b**3 - 41*b = 0.
-1, 2/181
Let x(f) be the third derivative of 6*f**7/35 - 44*f**6/15 + 61*f**5/15 + 3*f**4 - f**2 - 921. Suppose x(b) = 0. What is b?
-2/9, 0, 1, 9
Let u = 26 - 23. Suppose 0 = w + 3*r, 12 = u*w + 3*r - 0. Find z, given that -5*z - 5*z**5 + 10*z**3 - 4 - 2 + w = 0.
-1, 0, 1
Let y be ((2 + (-186)/120)*5)/(189/72). Solve 6/7*x - y*x**3 - 4/7 + 2/7*x**4 + 2/7*x**2 = 0.
-1, 1, 2
Let y(q) be the second derivative of q**9/27720 - q**8/3696 - 2*q**7/3465 + 155*q**4/6 - 247*q - 2. Let i(k) be the third derivative of y(k). Factor i(o).
2*o**2*(o - 4)*(3*o + 2)/11
Factor 0 + 36/5*k**3 + 27/5*k**4 - 48*k**2 + 192/5*k.
3*k*(k + 4)*(3*k - 4)**2/5
Suppose -88 - 290 = -21*l. Suppose f = 3*i + 17, -f - l = 17*i - 13*i. Factor -10/3 + 25/6*a**3 + 40/3*a - 85/6*a**f.
5*(a - 2)*(a - 1)*(5*a - 2)/6
Let d be -1 + (-19 - 49)/17*3/(-2). Find a such that -6/7*a**d + 4/7*a**4 - 20/7*a**2 + 30/7*a**3 - 24/7*a + 16/7 = 0.
-2, -1, 2/3, 1, 2
Let u(n) be the second derivative of -1/2*n**3 - 7/8*n**4 - 1/4*n**6 - 27/40*n**5 + 0 - 1/28*n**7 - 89*n + 0*n**2. What is p in u(p) = 0?
-2, -1, 0
Determine y, given that -18 - 12 - 180*y**2 - 532*y + 71 - 17 = 0.
-3, 2/45
Let w be -3 + 3996/((-27)/(-3)). Let y be (-630)/w*3/(-5). Determine o, given that -3/7*o**2 - y*o + 0 = 0.
-2, 0
Let w = 249/635 - -1/127. Suppose 327*p + 355*p - 817 = 547. Determine h, given that 8/5*h + 2 - w*h**p = 0.
-1, 5
Let g(j) be the first derivative of -j**4/10 - 23*j**3/15 - 14*j**2/5 - 20*j + 119. Let y(v) be the first derivative of g(v). Find f, given that y(f) = 0.
-7, -2/3
Let t(n) = 9*n**3 + 201*n**2 + 3*n - 217. Let h(q) = 125*q**3 + 2815*q**2 + 40*q - 3035. Let c(k) = 4*h(k) - 55*t(k). Solve c(o) = 0 for o.
-41, -1, 1
Let k(s) be the second derivative of s**5/20 - s**4/2 - 7*s**3/2 + 43*s**2/2 + 195*s. Let g be k(8). Factor 2*w**2 + 0*w - 1/3*w**g - 32/3.
-(w - 4)**2*(w + 2)/3
Let o(n) = 108*n**3 - 48*n**3 + 18*n**2 + 22*n - 57*n**3. Let w(v) = 65*v**3 + 395*v**2 + 485*v. Let p(u) = 45*o(u) - 2*w(u). Factor p(f).
5*f*(f + 2)**2
Let f(y) be the third derivative of y**6/160 + 541*y**5/240 + 15*y**4/8 + 3678*y**2. Factor f(b).
b*(b + 180)*(3*b + 1)/4
Factor -2/5*d**2 - 616/5 + 618/5*d.
-2*(d - 308)*(d - 1)/5
Let n(r) be the second derivative of r**4/6 - 9*r**3 - 124*r**2 + 217*r - 2. Factor n(o).
2*(o - 31)*(o + 4)
Let p(j) = j**2 + 20*j - 153. Let a be p(-26). Let h(g) be the first derivative of 2/15*g**a - 8/15*g**2 + 10 + 8/15*g. Factor h(m).
2*(m - 2)*(3*m - 2)/15
Suppose 0 = 2*a + v - 25, -a + 4*v = -4*a + 35. Suppose -5*m = 3 - a. Factor -7*x**m - 14*x - 10 - x + 2*x**2.
-5*(x + 1)*(x + 2)
Let u(v) be the second derivative of v**3/6 - 11*v**2/2 - 10*v. Let d be u(13). Determine b so that 50 - 7*b**2 + 5*b**2 + 4*b**2 - 20*b + 0*b**d = 0.
5
Let m(h) be the first derivative of -2*h**3/33 + 106*h**2/11 + 214*h/11 + 3664. Factor m(p).
-2*(p - 107)*(p + 1)/11
Let s(i) = -2*i**3 + 32*i**2 - i + 19. Let c be s(16). Let a(p) be the first derivative of 0*p**2 + 1/7*p**c - 1 + 0*p. Factor a(o).
3*o**2/7
Let k = 1/168202 + 4036825/3868646. What is y in 16/23 + 12/23*y**2 - 2/23*y**3 - k*y = 0?
2
Let s(f) be the second derivative of 0*f**4 - 18*f + 1/90*f**5 - 1/9*f**3 - f**2 + 0. Let d(u) be the first derivative of s(u). Solve d(w) = 0.
-1, 1
Let j(o) be the first derivative of -4*o**5/15 + 80*o**4/3 - 9592*o**3/9 + 21280*o**2 - 212268*o + 1233. Solve j(w) = 0 for w.
19, 21
Suppose 0 = 62*y - 75*y + 156. Let s**5 - 2*s**2 - 6*s**2 - 5*s**3 + 2*s**4 + 2*s**3 - 3*s**3 + y*s - s**3 = 0. Calculate s.
-3, -2, 0, 1, 2
Suppose -37*z + 32*z = -2*x + 34, 3*z + 18 = 0. What is q in -1/5*q**x + 0 + 1/5*q = 0?
0, 1
Let k = 44857/29910 - -4/14955. Factor -12*i - k*i**3 + 15/2*i**2 + 6.
-3*(i - 2)**2*(i - 1)/2
Let g be (-9)/((-135)/222) + (-3)/(-15). Factor 11*h - 7*h**2 + g*h**2 + 8*h - 12*h**2 - 3*h.
-4*h*(h - 4)
Let f(i) be the third derivative of -i**5/30 + 160*i**4/3 - 102400*i**3/3 + i**2 - 199. Factor f(s).
-2*(s - 320)**2
Let m(p) = -p**2 - 11*p - 17. Let g be m(-9). Let o(v) = 34*v**3 - v**2 - 2*v + 2. Let q be o(g). Suppose 10*n - 2*n + 12*n**2 + 2*n + q*n**2 = 0. Calculate n.
-2/9, 0
What is r in 0*r**2 + r**2 + 47*r**2 - 150 - 322 + 470*r - 46*r*