)/7
Factor 234 - 34*x + 62*x + 6*x**2 + 137*x.
3*(x + 26)*(2*x + 3)
Let m(o) be the third derivative of o**7/630 - o**6/45 + 7*o**5/60 - o**4/4 - 294*o**2. Factor m(t).
t*(t - 3)**2*(t - 2)/3
Let i be 2 + -2 - (-22 - (-20 - -12)). Suppose -2*m + 13*t = i*t, 0 = -3*m + 5*t. Factor 3/4*p**2 + m + 3/4*p.
3*p*(p + 1)/4
Let w(a) be the first derivative of -75 + 13/14*a**2 + 10/7*a - 10/7*a**3. Determine c so that w(c) = 0.
-2/5, 5/6
Let o(l) be the first derivative of 47 + 2/7*l**4 - 2/35*l**5 + 0*l - 4/7*l**2 + 2/21*l**3. Determine z, given that o(z) = 0.
-1, 0, 1, 4
Let g(b) = -5*b**2 + 10. Let r(o) = -8*o**2 + 10*o + 2. Let d(q) = -2*q**2 + 2*q + 1. Let k(s) = 5*d(s) - r(s). Let z(x) = 3*g(x) - 10*k(x). Factor z(u).
5*u**2
Let s be 255/170*(-4)/6*(-1 + 1). Let h(g) be the second derivative of -1/102*g**4 + 4/17*g**2 - 27*g + 0 + s*g**3. Solve h(n) = 0 for n.
-2, 2
Let t(k) = -4*k + 29. Suppose 9 + 33 = 7*o. Let l be t(o). Let 10 + 9*m + 15*m + l*m**2 - 9*m = 0. What is m?
-2, -1
Suppose -1656 + 3182 - 1736 - l**2 + 0*l**2 + 37*l = 0. What is l?
7, 30
Suppose -4*b + 24 = 8*b. Let r be (-26)/(11440/60)*8/(-6). Suppose 72/11 + r*o**b + 24/11*o = 0. Calculate o.
-6
Let u be 52102/25506 - (-20)/18 - (3 + 4 - 4). Factor 48/13*k + u*k**3 - 18/13*k**2 - 32/13.
2*(k - 4)**2*(k - 1)/13
Let g(r) = -r**3 - 4*r**2 - 3*r + 6. Let y be g(-4). Let n = 26 - y. Factor 3 + 3*o + 27 - 28*o - n*o**2 + 3*o**2.
-5*(o - 1)*(o + 6)
Let g(m) = -2*m**2 + 2. Let q(p) = -44*p**2 + 76*p - 16. Let t(y) = 8*g(y) + q(y). Factor t(k).
-4*k*(15*k - 19)
Suppose -2*w - 21 + 11 = -7*y, y - 4 = -w. Factor 0 + 17/6*d - 1/6*d**y.
-d*(d - 17)/6
Suppose 57*q + 2260 = 170*q. Let h(k) be the second derivative of 3/26*k**4 - 7/39*k**3 + q*k + 1/195*k**6 + 2/13*k**2 - 1/26*k**5 + 0. Factor h(w).
2*(w - 2)*(w - 1)**3/13
Let d = -34150 + 273203/8. Suppose -u + 4*g - 5 = 0, 3*u - 16 = -u - 2*g. Factor -d*s**4 + 0 - 3/8*s**2 - 3/4*s**u + 0*s.
-3*s**2*(s + 1)**2/8
Factor 328*g**4 - 963*g**4 + 320*g**4 + 316*g**4 - 3649586096 + 4472520*g**2 - 1815833344*g - 3664*g**3.
(g - 1222)**3*(g + 2)
Let v = 7033 - 7033. Let a(m) be the third derivative of 2/9*m**3 - 1/60*m**5 + 0 + v*m**4 + 0*m + 1/360*m**6 + 11*m**2. Suppose a(b) = 0. What is b?
-1, 2
Suppose 0 = -c + 2*c - 5, 4*t - 176 = -4*c. Factor -t*d + 532 - 92*d - 45*d + 4*d**2 + 1404.
4*(d - 22)**2
Let i = 2913/11572 - 5/2893. Suppose -1/4*z - 1/4*z**2 + 1/4*z**3 + i = 0. What is z?
-1, 1
Let p(m) be the second derivative of m**8/20160 - m**7/504 + m**4/12 - 7*m**3/2 + 106*m. Let w(a) be the third derivative of p(a). Factor w(v).
v**2*(v - 15)/3
Suppose 2 - 19*j + 6293*j**2 - 3*j**3 + 4 - 6299*j**2 + 22*j = 0. What is j?
-2, -1, 1
Suppose 24*t = -22*t + 80*t - 17*t. Let o(l) be the second derivative of 2/105*l**6 + 8/7*l**2 + 13/21*l**4 + 6/35*l**5 + 8*l + 8/7*l**3 + t. Factor o(i).
4*(i + 1)**2*(i + 2)**2/7
Find u, given that 7861476 + 10*u + 25*u + 80*u + 29*u - 6*u**2 - 9*u**3 - 7861380 = 0.
-4, -2/3, 4
Let o(g) be the third derivative of g**5/330 - 17*g**4/44 - 52*g**3/33 + 1563*g**2. Let o(w) = 0. Calculate w.
-1, 52
Let m(y) be the second derivative of y**7/504 + y**6/18 + y**5/15 - 31*y**4/72 - 97*y**3/72 - 19*y**2/12 - 2*y + 88. Let m(q) = 0. Calculate q.
-19, -1, 2
Suppose -72*l = 6*l + 12636. Let t be l/(-243) + 16/66. Determine u, given that 6/11*u**4 + 2/11*u - 2/11*u**3 + 4/11 - t*u**2 = 0.
-1, -2/3, 1
Let b(l) be the first derivative of -2*l**3/15 + 78*l**2/5 + 158*l/5 + 728. Factor b(f).
-2*(f - 79)*(f + 1)/5
Suppose 172 = 5*n - 2*y, 2*y + 4 - 2 = 0. Solve 14 + 8 - 4*v**2 - 16*v - n = 0 for v.
-3, -1
Let m(l) be the third derivative of -l**6/8 + 92*l**5/3 + 1455*l**4/8 + 625*l**3/3 - 4*l**2 + 650*l. Factor m(v).
-5*(v - 125)*(v + 2)*(3*v + 1)
Let v be 7 - ((-1652)/(-68))/(-7). Let s = -839/85 + v. Find f such that -6/5*f + s*f**2 + 0 = 0.
0, 2
Let t(g) be the first derivative of -g**5/5 + 21*g**4/4 + 419*g**3/3 + 771*g**2/2 + 374*g - 953. Suppose t(q) = 0. What is q?
-11, -1, 34
Suppose 3*i = 2*b + 5*i - 36, 3*i + 60 = 3*b. Let l(n) = -n**2 + 18*n + 21. Let g be l(b). Factor -2*r**4 + 2*r**4 + g*r**4 - r**4.
r**4
Let q = -49 + 50. Let k be (3/q)/((-11)/(-2) + -4). Determine s so that -46*s**3 - s**2 - 5*s**k + 43*s**3 - s - 2*s = 0.
-1, 0
Let w(s) be the second derivative of -s**6/120 + 11*s**5/40 - 7*s**4/16 + 763*s. Factor w(k).
-k**2*(k - 21)*(k - 1)/4
Factor -12/19*c**3 + 958/19*c**2 + 0 + 160/19*c.
-2*c*(c - 80)*(6*c + 1)/19
Suppose -286*b = -277*b + 270. Let u be ((-192)/(-84))/(b/(-21)). Factor -2/5*y**3 + 36/5 - u*y**2 + 6/5*y.
-2*(y - 2)*(y + 3)**2/5
Let w(r) be the first derivative of -16/9*r**4 + 13*r - 8 - 2/3*r**2 - 16/9*r**3. Let z(l) be the first derivative of w(l). Factor z(i).
-4*(4*i + 1)**2/3
Suppose 2*z - 55*y - 15 = -54*y, 4*y - 12 = -4*z. Factor -1 - 7*v**2 + 8*v + 5*v**2 + 2 + z*v**2 + 3.
4*(v + 1)**2
Let p(h) = 9*h**3 - 82*h**2 + 420*h - 784. Let q(i) = -i**3 + 2*i**2. Let o be ((-90)/24 + 4)*4. Let r(w) = o*p(w) + 5*q(w). Find k, given that r(k) = 0.
4, 7
Let q(c) = -22*c**3 + 50*c**2 - 86*c + 50. Let p(o) = -5*o**3 + o**2 + 2. Let i(u) = 4*p(u) - q(u). Factor i(h).
2*(h - 21)*(h - 1)**2
Let f be 1 + (1 + -4 - -4). Suppose 5 - f = s. Factor 2*p**5 + 106*p**4 - 3*p**5 - 105*p**4 - p**2 + p**s.
-p**2*(p - 1)**2*(p + 1)
Suppose 206*u + 178 = -125*u + 840. Determine p so that 2/7*p**u + 0 + 0*p**3 + 0*p - 2/7*p**4 = 0.
-1, 0, 1
Suppose -k = -3*q + 6, 4 = -2*q - 3*k - 3. Let c(s) = -5 + 8 - 2. Let x(z) = z**2 + 4*z + 4. Let g(o) = q*x(o) - c(o). Factor g(v).
(v + 1)*(v + 3)
Let i(l) = 180*l**2 - 235*l - 385. Let n(z) = -31*z**2 + 39*z + 64. Let b(k) = -6*i(k) - 35*n(k). Let b(a) = 0. Calculate a.
-7, -2
Suppose 0 = -3*v - 2*v + 4*q + 41, 7*v = 2*q + 43. Let k(o) be the third derivative of 1/330*o**v + 0*o + 12*o**2 + 0 - 1/132*o**4 + 0*o**3. Factor k(p).
2*p*(p - 1)/11
Let a = -195 - -198. Find j such that -11777 - 8*j - 2*j**5 - 8*j**2 + 11777 + 4*j**4 + 6*j**a = 0.
-1, 0, 2
Let v(h) be the second derivative of -h**7/6300 - h**6/300 + 7*h**5/300 - 3*h**4/2 - h**3/6 + 69*h. Let d(p) be the third derivative of v(p). Factor d(t).
-2*(t - 1)*(t + 7)/5
Factor -9/4*h**3 - 81/8*h + 9/8*h**4 - 39/4*h**2 - 27/8 + 3/8*h**5.
3*(h - 3)*(h + 1)**3*(h + 3)/8
Let l(q) = 14*q - 38. Let c be l(3). Let 3*k**c + 153*k**2 - 153*k**2 + 7*k**3 - 4*k = 0. Calculate k.
-2, -1, 0, 2/3
Suppose -348*c + 350*c - 38 = 0. Suppose 4*w - 16 = -4*n, 3*w - c + 15 = -n. Factor -1/3*u**n - 2/3*u**3 + 1/3 + 2/3*u + 0*u**2.
-(u - 1)*(u + 1)**3/3
Determine r, given that -1024/7*r + 116/7*r**2 + 2112/7 + 2/7*r**3 = 0.
-66, 4
Solve 69 + 1/3*r**2 + 32/3*r = 0.
-23, -9
Suppose 19292 = 67*k - 12198. Let v = k + -460. Factor -v - 2/5*r**2 + 4*r.
-2*(r - 5)**2/5
Let r(g) be the second derivative of g**6/135 + 635*g**5/36 + 314821*g**4/27 - 315218*g**3/27 - 45*g - 8. Let r(a) = 0. Calculate a.
-794, 0, 1/2
Let w be 11308/19030 + 2/(-10). Let p = w + 1/173. Find k such that 2/5*k**4 + 0 - 4/5*k + 6/5*k**3 - 2/5*k**5 - p*k**2 = 0.
-1, 0, 1, 2
Suppose 15 = -3*t + 2*q, q + 1 + 4 = -t. Let x(n) = n**3 + 7*n**2 + 8*n - 7. Let d be x(t). Solve -4 - 1 - 4 + d*p**3 - 3*p + p**2 + 8*p**2 = 0 for p.
-3, -1, 1
Let d(j) be the second derivative of 0*j**2 + 6*j**3 + 13*j**4 - 13/3*j**6 - 5*j - 5 + 109/20*j**5 + 25/42*j**7. Factor d(k).
k*(k - 3)**2*(5*k + 2)**2
Solve 2231*l + 698*l - 3196*l**3 - 900*l**5 + 6803*l**4 + 1167*l - 272 - 15268*l**2 + 8737*l**4 = 0.
-1, 2/15, 1, 17
Let n be (24/60)/(1/80). Let j = 34 - n. Suppose 4/3*w**5 - 4/3*w + 16/3*w**3 - 2/3 + 14/3*w**4 + 4/3*w**j = 0. Calculate w.
-1, 1/2
Factor 2/17*k**3 + 694/17*k - 616/17 - 80/17*k**2.
2*(k - 28)*(k - 11)*(k - 1)/17
Let r be (-5 - (-3204)/(-24))*14. Let y = -1937 - r. Determine s so that -9/2 + s**y - 1/2*s**4 - 2*s**3 + 6*s = 0.
-3, 1
Suppose 602/13*q + 64/13*q**2 + 2/13*q**3 + 1764/13 = 0. Calculate q.
-18, -7
Factor -8037*k**2 - 3480 - 234*k + 16081*k**2 - 8047*k**2.
-3*(k + 20)*(k + 58)
Suppose 1124*w + 5*w**3 + 36345*w - 160277 + 915*w**2 + 30542 + 2986*w = 0. Calculate w.
-93, 3
Solve 194*r - 90*r**3 - 76*r + 100*r**2 + 8 - 14*r**3 + 94*r = 0 for r.
-1, -1/26, 2
Let l(o) be the first derivative of -2*o**6/15 + 2*o**5/5 - 4*o**3/3 + 2*o**2 + 72*o + 96. Let v(w) be the first derivative of l(w)