e 22/12 - 2 - (-418)/132. Suppose -23 = -6*p + p - 3*u, -p + u = -l. Suppose 0 + 0*j - 3/5*j**p - 12/5*j**3 - 12/5*j**2 = 0. Calculate j.
-2, 0
Let v(o) be the second derivative of -17/54*o**4 + 17/90*o**5 + 0*o**2 - 7/135*o**6 + 1/189*o**7 + 2/9*o**3 + 7*o - 2. Find m, given that v(m) = 0.
0, 1, 2, 3
Let d(l) be the second derivative of -l**4/42 - 2246*l**3/21 - 1261129*l**2/7 - 13*l + 4. Factor d(t).
-2*(t + 1123)**2/7
Let i(w) = 7*w - 215. Let j be i(30). Let v be 282/54 + j + (-272)/(-72). Factor 0 + 0*s**2 - 2/15*s**v + 8/15*s - 2/5*s**3.
-2*s*(s - 1)*(s + 2)**2/15
Let s = 645508 + -645506. Determine x, given that -194/5*x + 36/5 - 142/5*x**3 - 4*x**4 + 64*x**s = 0.
-9, 2/5, 1/2, 1
Let k be (((-3731)/(-156))/41)/7. Let r(o) be the second derivative of k*o**3 + 16*o + 0 + 1/24*o**4 + 0*o**2. Solve r(q) = 0.
-1, 0
Suppose 4*r = 8*r - 296. Let k = -66 + r. Let -37*b**2 + 28*b**4 + k*b + 27*b**5 - 47*b**5 + 9*b**2 + 12*b**3 = 0. Calculate b.
-1, 0, 2/5, 1
Let h(c) be the first derivative of 2/3*c**3 + 23/13*c**2 + 22/13*c + 138 + 1/26*c**4. Solve h(a) = 0.
-11, -1
Let b = 19/330 + -1/132. Let y(r) be the third derivative of 2*r**3 - b*r**5 - 1/40*r**6 + 1/2*r**4 + 0 - 9*r**2 + 0*r. Factor y(h).
-3*(h - 2)*(h + 1)*(h + 2)
Let j be 106/4 + 0 - 1520/(156 + -61). Suppose j*m - 27/2 + 1/6*m**3 - 5/2*m**2 = 0. Calculate m.
3, 9
Let o be ((-72)/(-216))/(16/(-30))*(-12)/120*4. Factor 19/4*k - o*k**3 + 6 - 3/2*k**2.
-(k - 3)*(k + 1)*(k + 8)/4
Factor 446/5*p - 444/5 - 2/5*p**2.
-2*(p - 222)*(p - 1)/5
Factor 177/4*h + 15 + 171/4*h**2 - 3/4*h**4 + 51/4*h**3.
-3*(h - 20)*(h + 1)**3/4
Factor -1764/5 - 210*k - 2/5*k**3 - 88/5*k**2.
-2*(k + 2)*(k + 21)**2/5
Let i(l) be the third derivative of -l**8/11760 - l**7/1470 + 10*l**3 + 6*l**2 + 2. Let p(w) be the first derivative of i(w). Factor p(b).
-b**3*(b + 4)/7
Let x = 21 + -20. Let l be ((1/3)/x)/((-117)/(-270)). Factor 2/13*z**2 + l - 12/13*z.
2*(z - 5)*(z - 1)/13
Let k = -32980 + 692585/21. Let j(y) be the first derivative of 0*y**2 - 3/14*y**4 - k*y**3 + 43 + 0*y - 1/35*y**5. Suppose j(r) = 0. What is r?
-5, -1, 0
Factor 1/2*l**4 - 3811*l + 34*l**3 + 933/2*l**2 + 5476.
(l - 4)*(l - 2)*(l + 37)**2/2
Let t(g) = -3*g - 1. Let n(u) = -u**2 + 1559*u - 1570. Let h(a) = -n(a) + 3*t(a). Solve h(z) = 0 for z.
1, 1567
Let m be ((5 + -6)*5)/(10/12*-3). Factor 18*j**3 + 3/4 + 4*j**4 + 7*j + 81/4*j**m.
(j + 1)*(j + 3)*(4*j + 1)**2/4
Let o = -2674/359 + 1066335/95494. Let c = -11/38 + o. Determine t so that -c*t + 3/7*t**2 + 3 = 0.
1, 7
Let x be (-11)/5 + 3074/(-530) + (-7)/168*-212. Factor 1/2 + 1/6*d**2 + x*d - 1/6*d**3.
-(d - 3)*(d + 1)**2/6
Let y be ((-576)/(-12))/12 + ((-236)/60 - 0). Let a(g) be the third derivative of y*g**5 + 0*g - 14*g**2 - 1/12*g**4 + 0*g**3 - 1/60*g**6 + 0. Factor a(c).
-2*c*(c - 1)**2
Suppose -891*s - 1744*s = -525*s + 166*s. Suppose 0*d**2 - 4/3*d**3 + 12*d + s = 0. What is d?
-3, 0, 3
Let v(s) = -4*s**3 + 4*s**2 + 20*s + 22. Suppose 1 + 1 = 2*g. Suppose -30 = -40*h + 43*h. Let o(b) = 1. Let a(j) = g*v(j) + h*o(j). Factor a(r).
-4*(r - 3)*(r + 1)**2
Let -71*a**2 + 624*a - 17*a**2 - 1440 + 130*a**3 - 126*a**3 = 0. What is a?
6, 10
Let t(j) = -j**3 - 48*j**2 + 48*j - 46. Suppose 5*l - 81*l = 3724. Let b be t(l). Factor 0 - 1/12*p**2 - 1/6*p + 1/12*p**b.
p*(p - 2)*(p + 1)/12
Let j(p) be the third derivative of -22*p**2 - 1/180*p**5 - 1/72*p**4 + 0 + 1/360*p**6 + 1/18*p**3 + 0*p. Solve j(c) = 0 for c.
-1, 1
Let l = 730 - 513. Let t be 14/l - 58/(-62). Let -7/3*o + 5/3*o**2 - 1/3*o**3 + t = 0. What is o?
1, 3
Let g(x) = -2*x**2 - 13*x + 25. Let t be g(-8). Factor t + 5 - 3*k**2 - 6 + 108*k.
-3*k*(k - 36)
Let k = 11489 - 11489. Let o(i) be the third derivative of 0*i**3 + 1/60*i**5 + 1/480*i**6 + k + 0*i + 1/24*i**4 - 13*i**2. Find n, given that o(n) = 0.
-2, 0
Let z(p) be the first derivative of 4*p**3/3 - 502*p**2 + 1992*p + 84. Find j such that z(j) = 0.
2, 249
Let h(i) = 3*i - 6. Let o be h(3). Suppose -2 = -a - o*j, 0 = 4*a - 2*j - 6 - 2. Factor -f**3 - 27*f + 2*f**2 - 11*f**a + 28 - 55.
-(f + 3)**3
Let l = -2119 + 2131. Let y(s) be the second derivative of -3/40*s**5 + 1/4*s**3 - 5/72*s**4 + 0 - 1/6*s**2 - l*s + 7/180*s**6. Find f such that y(f) = 0.
-1, 2/7, 1
Suppose -856 = 24*y - 16*y. Let k = y - -131. Let 67*x**2 - 87*x**3 - 105*x**2 + k + 60*x + 20*x**4 + 43*x**4 - 76*x**2 = 0. Calculate x.
-1, -2/7, 2/3, 2
Let d = -84849/10 - -8485. Let p(j) be the third derivative of 0*j + 0 - 1/150*j**5 - d*j**4 - 18*j**2 + 0*j**3. Factor p(f).
-2*f*(f + 6)/5
Let s(f) be the second derivative of 1/2*f**3 + 0 + 7/60*f**4 - 8*f - 3/100*f**5 - 1/150*f**6 - 9/5*f**2. Solve s(u) = 0 for u.
-3, 1, 2
Suppose 12*i - 2815 = 7*i. Factor 24*v**2 - 2*v**3 - 851*v + i*v - 72*v**2.
-2*v*(v + 12)**2
Let c be (-2 + 2 + 12/(-24))*-6. Factor -96*j - 70*j**3 + c*j**3 + 4*j**4 + 4*j**3 + 16*j**3 + 15*j**3 + 36 + 88*j**2.
4*(j - 3)**2*(j - 1)**2
Find l, given that -2*l**2 + 12 + 146/5*l = 0.
-2/5, 15
Let t(k) be the first derivative of -k**4 + 40*k**3/3 - 14*k**2 - 72*k + 7331. Factor t(h).
-4*(h - 9)*(h - 2)*(h + 1)
Factor 940/3*b + 1/3*b**2 + 0.
b*(b + 940)/3
Let i = -868 - -874. Let k(p) be the second derivative of 1/60*p**4 + 0 + 1/15*p**3 - 3/10*p**2 - i*p. What is s in k(s) = 0?
-3, 1
Suppose -2 = -d, h = -3*h - 2*d + 44184. Factor -h - 269*i + i**2 - 6*i**2 - 327*i + 126*i.
-5*(i + 47)**2
Find o, given that 4*o**5 + 496*o**2 - 480 - 1528*o**2 + 153*o**3 + 1168*o + 41*o**4 + 259*o**3 - 113*o**4 = 0.
1, 2, 3, 10
Let k(l) be the third derivative of 16/27*l**3 + 0*l + 2/27*l**4 + 1/270*l**5 - 2*l**2 + 47. Let k(j) = 0. Calculate j.
-4
Let i(q) be the third derivative of q**7/1365 + 7*q**6/390 + 73*q**5/390 + 14*q**4/13 + 48*q**3/13 - q**2 - 5*q - 176. Factor i(y).
2*(y + 3)**2*(y + 4)**2/13
Let v be 3 + (329 - -3)/(-4). Let p = 88 + v. Factor -u - 2*u**2 - 5*u + 0 + p.
-2*(u - 1)*(u + 4)
Suppose 6*h - 11*h - 15 = 0, -3*s - h = -9. Suppose s*g - 259 + 247 = 0. Let -3/2*j - g + 3/2*j**2 = 0. What is j?
-1, 2
Let f(k) be the second derivative of -k**4/4 - 303*k**3/2 + 1842*k**2 - 385*k + 7. Factor f(j).
-3*(j - 4)*(j + 307)
Let r(m) = m**2 + 112*m + 2847. Let f be r(-39). Factor f + 0*d**2 + 12/5*d**3 - 4/5*d**4 - 16/5*d.
-4*d*(d - 2)**2*(d + 1)/5
Suppose d = 2*a - d - 10, -a + 4*d = -8. Let k(w) be the second derivative of 5/6*w**3 - 3/2*w**2 + 1/6*w**a + 28*w + 0. What is l in k(l) = 0?
-3, 1/2
Find g such that 5/3*g**4 + 5/6*g**5 + 5/3 + 5/6*g - 10/3*g**2 - 5/3*g**3 = 0.
-2, -1, 1
Suppose 14105 = 412*d - 399*d. Let o = d - 1083. Determine v, given that 2*v + 1/2*v**o + 0 = 0.
-4, 0
Determine l, given that -659751 + 673*l - 3*l**2 - 61*l - 5034*l - 969756 = 0.
-737
Let x(p) = 44*p - 39. Let s be x(1). Suppose 5*y - 38 = -3*o, s*y = 16 - 41. Factor 3/2*r**2 + o*r + 147/2.
3*(r + 7)**2/2
Let g = 109923 - 5056747/46. Let i = 156/23 + g. Determine h so that 0*h - 1/4*h**3 + 0 - i*h**2 = 0.
-2, 0
Let l(j) be the first derivative of -j**4/18 - 140*j**3/27 - 1568*j**2/9 - 21952*j/9 - 2948. Determine c, given that l(c) = 0.
-28, -14
Let z(h) be the second derivative of -h**4/12 - 10*h**3/3 - 48*h**2 - 293*h + 4. Find c, given that z(c) = 0.
-12, -8
Find j such that 8803107*j**2 + 1/2*j**4 + 3426*j**3 + 8610521428161/2 + 10053148194*j = 0.
-1713
Let m(s) be the second derivative of -s**5/60 - 19*s**4/36 + 11*s**3/3 - 11*s - 167. Factor m(x).
-x*(x - 3)*(x + 22)/3
Let n(y) be the first derivative of y**3/6 + 25*y**2/2 + 301*y/2 + 3988. Let n(u) = 0. Calculate u.
-43, -7
Let t(l) be the second derivative of -l**5/160 + 103*l**4/32 + 13*l**3/2 - 155*l**2/4 - 775*l + 3. Let t(z) = 0. Calculate z.
-2, 1, 310
Suppose 17 = c + 12, -s - c = -27. Let g be (-2)/(-8)*1186*s. Suppose -25*t**3 + 5*t - g + 5*t**2 + 8*t**4 + 6523 + 7*t**4 = 0. Calculate t.
-1/3, 0, 1
Let v = 5977/10895 - -112/2179. Let -9/5*b + v*b**2 + 0 = 0. What is b?
0, 3
Let s = -106 + 111. Suppose 3*z + 3*a = 15, -2*a - 2*a - 16 = -s*z. Factor 2 + 7 - 14*r + z*r + r**2.
(r - 9)*(r - 1)
Let o be -11080*((-12)/70)/((-24)/16). Let g = 1268 + o. Factor -g*r + 0 + 12/7*r**2 - 3/7*r**4 + 3/7*r**3.
-3*r*(r - 2)*(r - 1)*(r + 2)/7
Let p(l) = -l**3 + 13*l**2 - 4*l - 20. Let k be p(6). Determine v, given that -80 - k*v + 172*v**3 + 8*v - 71*v**3 + 35*v**2 + 144*v**3 = 0.
-4