ivative of 1/5*q**5 + 0 + 12*q**2 - k*q**4 + 2/3*q**3 + 12*q. Solve z(x) = 0.
-1, 2, 3
Let q(y) be the second derivative of y**6/120 + y**5/40 - 29*y**4/48 - 17*y**3/4 - 9*y**2 + 2137*y. Suppose q(u) = 0. What is u?
-4, -3, -1, 6
Let u(v) = 2*v**2 - 4*v - 4. Let b be u(3). Let p be (0 + b)/8 + (-15)/60. Factor -148*l**3 + p*l**4 + 147*l**3 + 2*l**4 - l**5.
-l**3*(l - 1)**2
Let l = 1713 - 1710. Let d be (-2)/(-4) + (-5)/(-2). Factor 54*i**d - 22*i**3 - 13*i**3 + 4*i - 15*i**l - 8*i**2.
4*i*(i - 1)**2
Let n(g) = -6*g**2 - 6*g + 22. Let v(y) = y**2 + y - 1. Let s(w) = n(w) + 8*v(w). Let d(o) = -o**2 + o. Let h(l) = 6*d(l) + 2*s(l). Factor h(u).
-2*(u - 7)*(u + 2)
Suppose -7 + 85/2*u**2 - 53/2*u**3 - 61/6*u + 7/6*u**4 = 0. What is u?
-2/7, 1, 21
Let u(c) be the first derivative of 2*c**3/27 + 860*c**2/3 + 369800*c - 3866. Determine f, given that u(f) = 0.
-1290
Let t(b) be the second derivative of b**10/30240 - 37*b**9/30240 + 3*b**8/2240 - 5*b**4/12 - 104*b. Let x(f) be the third derivative of t(f). Solve x(s) = 0.
0, 1/2, 18
Let l be (7 - 8)*3 - (-1867578)/1070. Determine m so that -264/5*m - 2/5*m**2 - l = 0.
-66
Suppose 11360/9*z - 12566/9*z**2 - 384 + 536*z**3 - 18*z**4 = 0. Calculate z.
8/9, 1, 27
Let u(k) = -k**3 + 11*k**2 - 12*k. Let g(f) = -2*f**3 + f**2 - f. Let p(t) = g(t) - u(t). Determine j so that p(j) = 0.
-11, 0, 1
Let j(c) be the third derivative of c**9/5040 - 3*c**8/2240 + c**7/420 - 5*c**4/12 + c**3/3 + 5*c**2. Let m(a) be the second derivative of j(a). Factor m(u).
3*u**2*(u - 2)*(u - 1)
Let 60/7 + 27/7*g**2 - 3/7*g**3 - 72/7*g = 0. Calculate g.
2, 5
Let u(i) be the third derivative of i**6/30 - 34*i**5/5 + 416*i**4 + 10816*i**3/3 + i**2 + 48. Factor u(t).
4*(t - 52)**2*(t + 2)
What is o in -933*o - 5*o**5 - 490*o**2 - 189 + 73*o**4 + 568*o + 980*o + 2*o**4 - 36 + 30*o**3 = 0?
-3, 1, 15
Suppose 17 = 37*l - 35*l - 5*n, -n = -2*l + 13. Let i(p) be the third derivative of 0 + 0*p**4 - 2/135*p**5 - 1/540*p**l + 0*p**3 + 15*p**2 + 0*p. Factor i(u).
-2*u**2*(u + 4)/9
Let u(t) = t**4 - t**3 + 23*t + 1. Let f(b) = -9*b**4 + 1952*b**3 + 3708*b**2 - 543*b - 389. Let a(s) = -2*f(s) + 22*u(s). Let a(z) = 0. Calculate z.
-2, -1/4, 2/5, 100
Let b be 0 + 2 - (21608/3087 + -5). Let j = 102901/3087 - b. Factor 44/3*d**2 + j + 4/3*d**3 + 140/3*d.
4*(d + 1)*(d + 5)**2/3
Let s be (-50)/225 + ((-40)/9)/(-2). Determine q so that 345*q**2 + 50 - 693*q**s + 346*q**2 = 0.
-5, 5
Let n(t) be the first derivative of -8/5*t**2 + 32/5*t + 2/15*t**3 + 163. Determine x so that n(x) = 0.
4
Let g(u) = u**3 - 6*u**2 + 4*u - 1. Let w be g(6). Let d = 25 - w. Factor -4*p + p**2 + d - 12*p**2 + 6*p**2 + 7*p**2.
2*(p - 1)**2
Suppose -91*h = -77*h + 98. Let y be -7 + (0 - (h - 2)). Suppose -d + 1 - 7/4*d**y + 3/4*d**4 + d**3 = 0. What is d?
-2, -1, 2/3, 1
Factor -28328665*z**2 + 175 - 817 + 28328666*z**2 - 319*z.
(z - 321)*(z + 2)
Let k = 119 + -114. Suppose 5*s + k*h = s + 136, 4*h = 5*s - 170. What is d in 8*d + 8*d**4 + 68 - 6*d**3 - 8*d**2 - 34 - 2*d**5 - s = 0?
-1, 0, 1, 2
Let z(g) be the second derivative of -g**6/90 - g**5/8 + g**4/6 - g**3/6 - 15*g**2/2 - 75*g. Let v(i) be the second derivative of z(i). Let v(n) = 0. What is n?
-4, 1/4
Let l be 21*(-1 - 8)/3. Let x = 65 + l. Factor 4*m - 52 - 4*m**x + 100 - 4*m**3 - 44.
-4*(m - 1)*(m + 1)**2
Determine d, given that d**3 + 15*d - 11*d**2 - 77*d**2 + 49*d + 21*d + 174 = 0.
-1, 2, 87
Let p(x) be the second derivative of -x**7/10080 + x**6/360 - x**5/40 + 5*x**4/12 + 5*x**2/2 + 2*x - 11. Let t(a) be the third derivative of p(a). Factor t(w).
-(w - 6)*(w - 2)/4
Suppose 169*l - 419 = -419. Let b(t) = t**2 + 15*t + 17. Let k be b(-14). Suppose l + 1/6*f**k + 2/3*f - 5/6*f**2 = 0. Calculate f.
0, 1, 4
Let g(y) be the third derivative of 0 - 5/36*y**4 + 1/6*y**3 - 1/60*y**6 + 1/630*y**7 + 1/15*y**5 + 0*y + 83*y**2. Factor g(f).
(f - 3)*(f - 1)**3/3
Let n(v) be the first derivative of v**6/840 - v**5/14 + 25*v**4/14 - 2*v**3 + 6. Let b(z) be the third derivative of n(z). Let b(h) = 0. What is h?
10
Solve -871200*a**2 - 2/3*a**4 + 191664000*a + 0 + 1320*a**3 = 0.
0, 660
Let v = -67 + 72. Suppose -19*i - 24*i**2 - 9*i**3 - 2*i**4 - 6 + i**4 + v*i**2 - 2*i**2 = 0. What is i?
-6, -1
Suppose 5/6*q**5 + 700/3*q**2 - 920/3 - 235/3*q**4 - 910/3*q + 905/6*q**3 = 0. Calculate q.
-1, 2, 92
Let v(o) be the second derivative of 229*o**5/40 + 689*o**4/24 + 116*o**3/3 + o**2 + 3*o + 111. Factor v(k).
(k + 1)*(k + 2)*(229*k + 2)/2
Solve -41*c**4 + 44*c**4 + 114 - 51*c + 1127*c**2 + 51*c**3 - 1244*c**2 = 0 for c.
-19, -1, 1, 2
Find p such that 22*p**2 - 82*p + 9 - 2*p**3 - 91*p + 39 + 105*p = 0.
1, 4, 6
Factor 11*p - 84 - 1/3*p**2.
-(p - 21)*(p - 12)/3
Let o(x) be the third derivative of -x**5/20 + 33*x**4/4 + 140*x**3 + 2*x**2 + 2983*x + 1. Solve o(p) = 0.
-4, 70
Let r(h) be the third derivative of -h**6/1320 + 53*h**5/132 - 527*h**4/264 + 263*h**3/66 + 3*h**2 - 1033. Factor r(k).
-(k - 263)*(k - 1)**2/11
Let s(l) = -2*l**3 + 3*l**2 + l - 1. Let y(p) = -2*p**3 - 498*p**2 + 5834*p - 17282. Let t(m) = -2*s(m) + y(m). Suppose t(r) = 0. What is r?
6, 240
Let j(l) be the third derivative of l**7/210 + 237*l**6/160 + 14233*l**5/120 - 94643*l**4/32 + 2883*l**3 + 528*l**2 - 4*l + 1. Find s such that j(s) = 0.
-93, 1/4, 8
Let q be ((-12)/14)/(1465 + -1433 - (-454)/(-14)). What is j in -4 + 2/3*j**q + 10/3*j = 0?
-6, 1
Let q(h) be the third derivative of h**8/1680 + 3*h**7/175 + 109*h**6/600 + 21*h**5/25 + 49*h**4/30 - 1784*h**2. Suppose q(l) = 0. What is l?
-7, -2, 0
Let p(t) be the second derivative of -5*t**5/4 + 1945*t**4/12 - 12545*t**3/2 - 7605*t**2/2 - 953*t. Find w such that p(w) = 0.
-1/5, 39
Let q(j) be the second derivative of 0*j**2 - j - 7/54*j**3 + 4 - 1/18*j**4 + 1/180*j**5. Find f such that q(f) = 0.
-1, 0, 7
Let s(c) = -20*c**4 + 40*c**3 + 44*c**2 - 160*c + 64. Let f(m) = -13*m**4 + 27*m**3 + 29*m**2 - 107*m + 44. Let p(a) = -8*f(a) + 5*s(a). What is h in p(h) = 0?
-2, 1, 4
Let h be -33 - (-4956)/98 - 13. Solve 14*j**4 - 69/7*j**2 - j**3 - 4/7 + h*j = 0.
-1, 2/7, 1/2
Let q be (-232)/(-116)*25/2. Suppose -4*n - 5*z + 0*z - q = 0, 0 = 3*n - 4*z - 20. Factor -2/7*s**4 + 8/7*s - 6/7*s**3 + n + 0*s**2.
-2*s*(s - 1)*(s + 2)**2/7
Let z(u) be the third derivative of u**6/120 - u**5/20 - u**4/8 - u**3/6 + 3*u**2. Let l be z(6). Determine c so that -83 - c**2 + l + 0*c - c = 0.
-3, 2
Let t(h) be the first derivative of 11*h**4 + 262*h**3/3 + 104*h**2 - 10*h - 106. Factor t(u).
2*(u + 1)*(u + 5)*(22*u - 1)
Let p(d) = -2*d**3 - 6*d + 4 - 4*d**2 + 10*d**3 - 2*d. Let f(s) = -s**2 + 14399 - s - 14398 - 2*s**3 + 3*s**3. Let r(q) = 6*f(q) - p(q). Factor r(i).
-2*(i - 1)*(i + 1)**2
Determine p so that 232*p**3 - 43/4*p**4 - 762*p**2 - 140 - 9/4*p**5 + 788*p = 0.
-14, 2/9, 2, 5
Let z be (112/(-1344)*(5 - -4))/((-3)/8). Factor 1/6*p**2 + 0 - z*p.
p*(p - 12)/6
Let u(k) be the second derivative of 44/15*k**6 - 146*k - 94/3*k**3 - 48*k**2 + 2/3*k**4 - 2/21*k**7 + 0 + 48/5*k**5. Factor u(g).
-4*(g - 24)*(g - 1)*(g + 1)**3
Let k(i) = i**2 - 8*i - 3. Let h be k(9). Let q be -3 - -6*1 - (h - 3). Find x, given that -x**2 - x**3 - 17*x - 10*x + 1 + q + 28*x = 0.
-1, 1
Suppose 0 = 3*a + 9, -3*a - 24 = 3*n - 6*n. Suppose h + n*v = 8, 6*h - 5*v = 8*h - 11. Factor 0*d**2 + 4/9 - 2/3*d + 2/9*d**h.
2*(d - 1)**2*(d + 2)/9
Let n = 3 - -2. Suppose -5 = v - 3*z - 0, 0 = v - n*z + 11. Factor -4*w + v*w**3 + 2*w**3 + 12 + 2*w**3 + 4*w**4 - 16*w**2 - 4*w.
4*(w - 1)**2*(w + 1)*(w + 3)
Let h(g) be the third derivative of -1/60*g**6 + 40/3*g**3 - 49/75*g**5 - 23/3*g**4 + 7*g + 0 - 4*g**2. Factor h(c).
-2*(c + 10)**2*(5*c - 2)/5
Let d(q) be the first derivative of 5/4*q**2 - 5/2*q**3 + 15/8*q**4 - 52 - 1/2*q**5 + 0*q. Suppose d(o) = 0. What is o?
0, 1
Solve 1609/8 + 805/4*y + 1/8*y**2 = 0 for y.
-1609, -1
Let v(z) be the first derivative of -z**4/14 + 74*z**3/21 - 67*z**2/7 - 30*z - 708. What is c in v(c) = 0?
-1, 3, 35
Suppose -33*w + 225 = -30*w. Factor w*y - 24*y**2 - 5*y**3 - 8*y**2 + 22*y**2.
-5*y*(y - 3)*(y + 5)
Let g = -47324 - -47326. Let -4/3 + 4/3*y**g + 2/3*y - 2/3*y**3 = 0. Calculate y.
-1, 1, 2
Let w(q) = q**3 - 1569*q**2 - 152071*q + 153664. Let p(j) = -j**3 + 785*j**2 + 76033*j - 76832. Let r(i) = -5*p(i) - 3*w(i). Suppose r(h) = 0. Calculate h.
-196, 