be 10/55 - 62/(-22). Let w(d) = -430*d - 36112. Let k be w(-84). Factor -2/3*a**4 - 54 - 36*a**2 + k*a**s + 72*a.
-2*(a - 3)**4/3
Let c(q) be the second derivative of 1/78*q**4 - 127*q - 5/13*q**2 - 4/39*q**3 + 0. Let c(y) = 0. Calculate y.
-1, 5
Let y(f) be the first derivative of -179 - 20/17*f - 4/17*f**5 + 1/51*f**6 + 1/17*f**2 - 1/17*f**4 + 40/51*f**3. Solve y(r) = 0 for r.
-1, 1, 10
Suppose 73*x + 35 = 80*x. Suppose 7*c - x = 23. Find o, given that -23 - 9 + 8*o**3 - 4*o**c + 36*o**2 - 110*o + 102*o = 0.
-2, -1, 1, 4
Let p(l) = l**3 - 4*l**2 + 4*l. Suppose 3*h = 5*h - 6. Let i be p(h). Factor -5*f + 7*f - i*f**2 - 4 - 8*f + f**2.
-2*(f + 1)*(f + 2)
Let p be -2*(1 + (-27)/24). Suppose 34 = 3*m + b, -b - 58 + 20 = -5*m. Find r such that 3*r + p*r**2 + m = 0.
-6
Let w = -1311559/9 + 145729. What is j in -w*j**2 + 4 + 2/3*j = 0?
-3, 6
Let t(l) be the second derivative of 2*l**7/147 + 2*l**6/15 - 3*l**5/7 - 167*l**4/21 - 76*l**3/3 - 240*l**2/7 + 469*l. Determine m so that t(m) = 0.
-6, -4, -1, 5
Let h(j) be the second derivative of -5*j**7/42 + 2*j**6/3 - j**5/2 - 5*j**4/3 + 5*j**3/2 - 6*j + 3. What is g in h(g) = 0?
-1, 0, 1, 3
Let k(u) be the first derivative of -4*u**5/25 - 8*u**4/5 - 92*u**3/15 - 56*u**2/5 - 48*u/5 + 221. Let k(a) = 0. Calculate a.
-3, -2, -1
Suppose -2*h + 1408 = 478. Let w = 468 - h. Suppose 3 + w*z + 3/4*z**2 = 0. Calculate z.
-2
Suppose -229*a**2 + 268*a + 41*a**2 + 65*a**2 + 63*a**2 + 62*a**2 = 0. What is a?
-134, 0
Let u = 84/127 + -166/635. Solve -4/5*x - u*x**2 + 48/5 = 0 for x.
-6, 4
Suppose 0 = -1707*v + 1716*v - 36. Let c(h) be the first derivative of -25/4*h**v - 10*h + 10/3*h**3 - 27 + 25/2*h**2. Factor c(t).
-5*(t - 1)*(t + 1)*(5*t - 2)
Let g be (39/18 - (-1)/(-6))*-1. Let h be g*12/8 - -7. Factor -16*b**2 + 3*b**h - b + b**5 + 10*b**2 + 8*b**2 - 5*b**4.
b*(b - 1)**3*(b + 1)
Let u = 241 - 241. Let j(z) be the second derivative of 21*z + 1/10*z**6 - 3/20*z**5 + 1/14*z**7 - 1/4*z**4 + u*z**3 + 0*z**2 + 0. Factor j(n).
3*n**2*(n - 1)*(n + 1)**2
Factor 51/4*h**2 - 2595/4*h - 153/2.
3*(h - 51)*(17*h + 2)/4
Suppose -27*z + 7*z = -7860. Factor z*r**2 - 374*r**2 + 95*r + 2 - 56*r.
(r + 2)*(19*r + 1)
Let v(f) be the third derivative of -f**5/15 + 400*f**4/3 - 320000*f**3/3 + 1944*f**2. Suppose v(j) = 0. Calculate j.
400
Let p(z) be the second derivative of -4*z**5/15 + 98*z**4/9 + 199*z**3/18 + 25*z**2/6 - 3*z + 143. Factor p(o).
-(o - 25)*(4*o + 1)**2/3
Suppose -146 = -6*l - 92. Suppose 373*r - 370*r - l = 0. Find w, given that -2/11*w**r - 6/11*w**2 - 4/11*w + 0 = 0.
-2, -1, 0
Let f(s) = 9*s**3 - s**2 + 3*s - 4. Let q be f(2). Solve 8*i**2 + 29*i + 17*i - 3*i**2 + q - i = 0 for i.
-7, -2
Let l = 36/17 + 5/102. Let r = l - 5/3. Suppose -3*o - r*o**2 - 5/2 = 0. What is o?
-5, -1
Let t(g) = -19*g**2 + 17*g + 133. Let p be t(-9). Let u = p - -1562. Determine w, given that 1/4*w**u - 3/4*w**2 + 3/4*w - 1/4 = 0.
1
Let a(v) be the first derivative of 2*v**5/55 - 16*v**3/33 + 32*v/11 - 1028. Factor a(f).
2*(f - 2)**2*(f + 2)**2/11
Let h = -118 - -46. Let b = 74 + h. Factor 28*n**2 - 1 + 27 - 1 - 55*n + 2*n**b.
5*(n - 1)*(6*n - 5)
Let p(x) be the second derivative of 19/11*x**5 + 383/33*x**4 + 833/33*x**3 + 113*x + 1/231*x**7 - 31/165*x**6 + 289/11*x**2 + 0. Factor p(z).
2*(z - 17)**2*(z + 1)**3/11
Let l be ((-768)/(-30))/((-792)/(-220)). Factor -224/9*a + l + 44/9*a**4 - 4/9*a**5 + 292/9*a**2 - 172/9*a**3.
-4*(a - 4)**2*(a - 1)**3/9
Factor 5*q**3 - 13377590*q**2 + 13377590*q**2.
5*q**3
Let y = -828 - -837. Factor 3*d - 3*d**2 + 13*d**2 - 23 - 17 + 3*d - y*d**2.
(d - 4)*(d + 10)
Let s(i) = -4988*i + 3115008. Let g(m) = m**2 + 4986*m - 3115008. Let n(a) = 4*g(a) + 6*s(a). Factor n(c).
4*(c - 1248)**2
Let n(h) be the third derivative of -h**5/20 - 81*h**4/2 - 13122*h**3 - h**2 + 66*h. Factor n(d).
-3*(d + 162)**2
Let m(n) be the second derivative of n**9/3024 + n**8/560 - n**7/84 + 99*n**3/2 - 2*n + 16. Let d(w) be the second derivative of m(w). Factor d(o).
o**3*(o - 2)*(o + 5)
Let b = -6129 + 6132. Let s(y) be the first derivative of 0*y**b + 4/5*y + 13 + 1/10*y**4 - 3/5*y**2. Factor s(i).
2*(i - 1)**2*(i + 2)/5
Let m = -447 - -665. Let g = -214 + m. Solve -1/2*s**2 + 1/3*s - 1/3*s**3 + 1/2*s**g + 0 = 0.
-1, 0, 2/3, 1
Let l(j) be the first derivative of j**3/2 - 147*j**2/4 + 72*j - 426. Factor l(f).
3*(f - 48)*(f - 1)/2
Let u(t) be the third derivative of -t**5/40 - 11*t**4/16 + 38*t**3 + 6*t**2 - 49. Solve u(l) = 0.
-19, 8
Let k(n) be the second derivative of n**6/90 + n**5/12 - 11*n**4/18 + 8*n**3/9 - 1129*n. Factor k(z).
z*(z - 2)*(z - 1)*(z + 8)/3
Let s(t) be the third derivative of 31*t**6/120 - 29*t**5/60 - t**4/12 - 120*t**2. Find g such that s(g) = 0.
-2/31, 0, 1
Let j = 271 + -263. Suppose -j*s - 652*s**3 - 2*s**2 + 2*s**4 + 328*s**3 + 332*s**3 = 0. Calculate s.
-4, -1, 0, 1
Solve -3675/2 - 73/2*v**2 + 1435/2*v + 1/2*v**3 = 0.
3, 35
Let z(s) be the second derivative of -46/3*s**3 + 2*s - 100*s**2 + 49 + 1/3*s**4. What is b in z(b) = 0?
-2, 25
Let n(v) = -2*v**2 - 2*v + 4. Let x be n(-3). Let d be (-16)/(-6) - x*1/(-12). Factor -8*i + 5*i - 19*i - d*i + 15*i**2 + 12 - 3*i**3.
-3*(i - 2)**2*(i - 1)
Find u such that -1734*u + 3504*u - 60*u**2 - 1716*u + 161 - 45 + 2*u**3 = 0.
-1, 2, 29
Let t(u) be the second derivative of u**5/5 + 31*u**4/2 - 47*u**3/3 - 3*u + 9. Find z, given that t(z) = 0.
-47, 0, 1/2
Suppose 22 = 80016*b - 80005*b. Let k(x) be the first derivative of 1/16*x**4 + 24 + 1/3*x**3 + 3/2*x - 11/8*x**b. Factor k(n).
(n - 1)**2*(n + 6)/4
Let w be -12 + 0 + (27 - 1408/96). Let j(k) be the first derivative of -1/20*k**4 + 10 + w*k**3 + 7/5*k + 13/10*k**2. Determine x so that j(x) = 0.
-1, 7
Suppose 5*h - 18 = -3*t, 0*h = h. Suppose -4*b - t + 18 = 0. Factor -9*n - 2 - 2*n**b - 3*n**3 + 3*n**2 + 3*n**3 + 12*n.
-(n - 2)*(n + 1)*(2*n - 1)
Let w(o) be the second derivative of -o**5/40 + 47*o**4/6 - 187*o**3/12 - o - 63. Factor w(g).
-g*(g - 187)*(g - 1)/2
Let c(y) be the third derivative of y**6/840 - 41*y**5/84 + 10403*y**4/168 + 10609*y**3/42 + y**2 - 164. Factor c(o).
(o - 103)**2*(o + 1)/7
Let j(l) be the third derivative of 0 - 107/70*l**5 - 64/21*l**3 - 17/105*l**6 + 7*l**2 - 68/21*l**4 - 4/735*l**7 - 14*l. Factor j(i).
-2*(i + 8)**2*(2*i + 1)**2/7
Let c(m) be the first derivative of -46/3*m**3 - 1/6*m**6 - 25*m - 65/2*m**2 + 7/5*m**5 + 1/2*m**4 - 7. Factor c(a).
-(a - 5)**2*(a + 1)**3
Suppose 2*r - 2*t = 3*r - 1, 5*r - 19 = 4*t. Suppose 2*j**2 + 39*j**3 - 66*j**r + 28*j**3 - 4*j - 8 = 0. Calculate j.
-2, 2
Find g, given that -3/4*g**2 + 63 + 15/4*g = 0.
-7, 12
Let p = 913935 - 4569672/5. Suppose p*z**2 - 4/5*z + 4/5*z**3 - 4/5 + 1/5*z**4 = 0. What is z?
-2, -1, 1
Suppose -4/5*o**3 - 8/5*o - 8/15 - 26/15*o**2 - 2/15*o**4 = 0. Calculate o.
-2, -1
Let q(j) be the first derivative of j**4/18 + 86*j**3/27 + 275*j**2/9 - 8750*j/9 + 890. Factor q(p).
2*(p - 7)*(p + 25)**2/9
Let t be 392/1078 + 240/66. Let h(m) be the third derivative of -1/12*m**5 - 10/3*m**3 + 0*m - 14*m**2 - 25/24*m**t + 0. Factor h(p).
-5*(p + 1)*(p + 4)
Suppose 16*z - 11*z + 2*k - 33841 = 0, 2*z = -4*k + 13530. Let v = z - 33653/5. Factor 48/5*c - 3/5*c**2 - v.
-3*(c - 8)**2/5
Let r = 4475131/5 - 895023. Suppose 0*x**4 - 2/5*x**5 + 6/5*x - r*x**2 + 0 + 12/5*x**3 = 0. What is x?
-3, 0, 1
Let i = -799 + 449. Let x = -347 - i. Factor -7*t + 3/2*t**2 + 23/4*t**x - 2 + 7/4*t**4.
(t - 1)*(t + 2)**2*(7*t + 2)/4
Let i(d) be the first derivative of -d**7/280 + d**6/10 + d**5/40 - 3*d**4/2 + 43*d**3/3 + d**2/2 + 257. Let b(k) be the third derivative of i(k). Factor b(j).
-3*(j - 12)*(j - 1)*(j + 1)
Let j(c) be the third derivative of c**8/5040 + 11*c**7/1260 + c**6/18 + 23*c**5/30 - c**4/24 + 225*c**2. Let s(u) be the third derivative of j(u). Factor s(t).
4*(t + 1)*(t + 10)
Factor -2/9*u**5 - 288*u - 44/9*u**4 - 368/9*u**3 - 160*u**2 - 192.
-2*(u + 2)**2*(u + 6)**3/9
Let b be (8/(-36))/((-3)/(-27)*-1). Let f(g) be the first derivative of 8/5*g**5 - 17*g**b - 14*g**3 - 6*g - 3/2*g**4 - 11. Determine q so that f(q) = 0.
-1, -1/4, 3
Let b be (-4)/5*(520/16)/13. Let m be (0 + b + 2)/(-1 - -3). Factor -9/4*y**4 + 0*y + m + 3*y**3 - 3/4*y**2.
-3*y**2*(y - 1)*(3*y - 1)/4
Let t be 8*12/32 + -1. Solve -167*j**2 + 20*j**4 + 4*j**5 - 32*j**3 - 8*j**3 + 320