y + 10)
Let i(j) be the first derivative of -j**7/280 + j**6/50 - 9*j**5/200 + j**4/20 + 178*j**3/3 - 234. Let b(h) be the third derivative of i(h). Factor b(a).
-3*(a - 1)**2*(5*a - 2)/5
Suppose -5*u - 3*i = 233, 5*i = u + i + 65. Let m = -47 - u. Factor -6/17*w + 36/17 + 2/17*w**3 - 8/17*w**m.
2*(w - 3)**2*(w + 2)/17
Let h be ((-12)/9)/(12/(-18)). Factor 4*d**h - 25*d**3 + 31*d**3 + 8*d**3.
2*d**2*(7*d + 2)
Let s = -144 + 192. Let 64*u + 66 + 4*u**2 - s + 42 = 0. Calculate u.
-15, -1
Let v(w) = w**2 - 77*w - 94. Let y(r) = r**2 - 2*r + 1. Let l(n) = -v(n) - 4*y(n). Let l(q) = 0. What is q?
-1, 18
Let q be 4/(-34) + (-374)/(-3179). Factor q - 39*g - 3/5*g**2.
-3*g*(g + 65)/5
Let t(k) = -3*k**2 + 75*k + 3. Let q be t(25). Let c be (q - 2) + (-40)/(-16). Factor -13/2*g + 1/2*g**3 + c + 5/2*g**2.
(g - 1)**2*(g + 7)/2
Suppose 3*m = -10*r + 9*r + 12, -5*r = -5*m - 60. Solve 1 + 0*y**2 - 26 - 38*y + r*y - y**2 = 0 for y.
-25, -1
Let o(r) be the third derivative of -27*r**2 + 0*r - 1/15*r**5 + 0 - 216*r**3 + 6*r**4. Factor o(g).
-4*(g - 18)**2
Let d(u) be the first derivative of -5*u**4/4 + 3070*u**3 + 9215*u**2/2 - 5944. Factor d(i).
-5*i*(i - 1843)*(i + 1)
Suppose 79*j = -63*j + 4*j + 966. Let k(u) be the second derivative of 0 + 40/3*u**3 + j*u**4 + 8*u**2 + 11*u - 2/5*u**5 - 14/15*u**6. What is s in k(s) = 0?
-1, -2/7, 2
Let b be (11760/63)/(40/768). Solve b*r - 6248*r**2 + 49/2*r**5 + 280*r**4 - 512 - 166*r**3 = 0.
-8, 2/7, 4
Let h = -6293340/11 + 572122. Factor -344/11*w**3 + 4*w**4 - h*w**5 + 1024/11 + 1168/11*w**2 - 1792/11*w.
-2*(w - 8)**2*(w - 2)**3/11
Suppose 3*x + 4*q + 10 = 0, -211*q = -196*q + 240. Let x*k**2 + 54*k - 15/2*k**3 - 24 = 0. Calculate k.
-2, 2/5, 4
Factor -33/7*s - 78/7 + 3/7*s**2.
3*(s - 13)*(s + 2)/7
Factor -72*i + 75/2*i**2 + 0 - 3/4*i**3.
-3*i*(i - 48)*(i - 2)/4
Let z(b) be the third derivative of -b**2 + 1/448*b**8 + 0*b + 3/70*b**7 + 0*b**5 + 0*b**4 + 0*b**3 + 11/160*b**6 + 0. Factor z(n).
3*n**3*(n + 1)*(n + 11)/4
Let x be 7 - 32/64*(13 - -1). Determine u so that -12/17*u + 2*u**2 + 32/17*u**3 - 14/17*u**4 + x = 0.
-1, 0, 2/7, 3
Let d(r) be the second derivative of r**6/480 - r**5/4 + 25*r**4/2 + r**3/2 - 23*r**2 + 141*r + 2. Let y(j) be the second derivative of d(j). Factor y(x).
3*(x - 20)**2/4
Let g(a) = 3*a - 10. Let h be g(5). Suppose -5*l + 1 = 3*c, 0 = 5*l + 2*c - h + 1. Let 28*z - 252 + l*z + 327 + 3*z**2 = 0. What is z?
-5
Let n be (-14)/(-42)*-1*(-5 - 1). Let w(p) be the first derivative of 3/5*p**5 + 0*p - 9/20*p**4 + 9/10*p**n - p**3 - 24. Solve w(y) = 0.
-1, 0, 3/5, 1
Let c(a) = -52*a**2 - 1. Let y(s) = 106*s**2 + 480*s + 480. Let o(u) = -2*c(u) - y(u). Suppose o(z) = 0. Calculate z.
-239, -1
Suppose 57*h = 63*h - 90. Factor -h*q**2 + 112 - 21*q**2 + 38*q**2 + 30*q.
2*(q + 7)*(q + 8)
Let x(s) = s**3 - 36*s**2 + 72*s - 134. Let c be x(34). Suppose 0 = c*u + l - 8, -40 = -4*u - l - 26. What is g in 0*g + 1/2*g**u + 1/4 - 3/4*g**2 = 0?
-1/2, 1
Let l(t) be the first derivative of 7*t - 4*t**2 + 1/3*t**3 - 14. Factor l(y).
(y - 7)*(y - 1)
Let m(b) be the third derivative of 0*b - 2/35*b**5 + 0*b**4 + 0 - 37*b**2 - 16/735*b**7 - 13/210*b**6 - 1/588*b**8 + 0*b**3. Factor m(d).
-4*d**2*(d + 1)**2*(d + 6)/7
Suppose -38/5*h**3 - 24 - 274/5*h - 38*h**2 - 2/5*h**4 = 0. Calculate h.
-12, -5, -1
Let i(b) be the third derivative of b**6/480 + 3*b**5/40 - 13*b**4/32 + 5*b**3/6 - b**2 + 276*b. Solve i(f) = 0.
-20, 1
Factor 7/3*q + 8/3*q**2 + 0 + 1/3*q**3.
q*(q + 1)*(q + 7)/3
Let z(n) be the first derivative of n**5 + 55*n**4/4 + 65*n**3 + 245*n**2/2 + 100*n + 555. Let z(j) = 0. What is j?
-5, -4, -1
Let l(r) = 57*r - 14646. Let y be l(257). Factor 4/7*x**y + 0 + 0*x + 4/7*x**2.
4*x**2*(x + 1)/7
Let a be -8 - 7/((-3038)/3596). What is m in 4/7*m**4 + 8/7*m - a*m**5 + 0 + 6/7*m**3 - 16/7*m**2 = 0?
-2, 0, 1, 2
Let a(k) = 4*k**2 + 124*k - 261. Let p be a(2). Let q(g) be the first derivative of 4/7*g + 1/21*g**p + 5/14*g**2 + 10. Factor q(j).
(j + 1)*(j + 4)/7
Suppose 3*s + 17*d - 16*d = 5, 0 = 2*d + 2. Solve 21*y + 173 - 173 + 18*y**s - 3*y**3 = 0 for y.
-1, 0, 7
Suppose 5*l + 10*u - 12 = 13*u, -l - 6*u = -9. Let a(n) be the first derivative of 0*n + 2/3*n**l - 40 - 12*n**2. Factor a(j).
2*j*(j - 12)
Factor 934*f + 1052*f + 976*f - 85*f**3 - 185*f**2 - 3062*f.
-5*f*(f + 1)*(17*f + 20)
Let l(v) be the first derivative of -3*v**4/20 - 71*v**3/5 + 3423*v**2/10 - 2499*v + 6643. Solve l(m) = 0 for m.
-85, 7
Let q(h) be the third derivative of h**7/105 + 89*h**6/30 + 264*h**5 - 89*h**4/6 - 7921*h**3/3 - h**2 - 9*h + 1. Solve q(n) = 0.
-89, -1, 1
Determine z so that 2/9 - 7/9*z - 2/9*z**4 - 2/9*z**3 + 1/9*z**5 + 8/9*z**2 = 0.
-2, 1
Determine o, given that 27/2*o - 3/2*o**2 - 21 = 0.
2, 7
Factor -1544*g + 373950 + 11*g**2 - 9*g**2 - 75958.
2*(g - 386)**2
Let q be ((-10)/(-4))/(27/(-18))*20/(-50). Find i such that 2/3*i**2 - 2/9*i**3 - q*i + 2/9 = 0.
1
Suppose -15*u + 14*u + 63 = 3*s, -2*s = u - 62. Solve -17*z + u + 15*z**2 - 24*z - 18*z - 6*z = 0.
4/3, 3
Let v(q) be the second derivative of 25/2*q**2 - 66*q + 47/16*q**4 + 0 + 55/6*q**3 + 1/120*q**6 + 11/40*q**5. Determine r so that v(r) = 0.
-10, -1
Let s(g) be the third derivative of -g**5/140 - 2*g**4/7 - 30*g**3/7 + 2094*g**2. Factor s(p).
-3*(p + 6)*(p + 10)/7
Let x(v) be the second derivative of -v**5/70 + 5*v**4/3 - 268*v**3/21 + 264*v**2/7 - 47*v + 22. Factor x(y).
-2*(y - 66)*(y - 2)**2/7
Let w(p) = 6*p**2 - 12736*p - 20262870. Let c(z) = -4*z**2 + 12735*z + 20262897. Let g(b) = -4*c(b) - 3*w(b). Factor g(d).
-2*(d + 3183)**2
Let n(x) = 2*x**3 - 2270*x**2 + 80. Let o(r) = r**3 - 1513*r**2 + 50. Let p(y) = -5*n(y) + 8*o(y). Factor p(j).
-2*j**2*(j + 377)
Suppose -16/3*j**3 + 0*j - 6*j**2 + 2/3*j**4 + 0 = 0. Calculate j.
-1, 0, 9
Let u(a) = a**2 - 7*a - 5. Let i(n) = -n**2 + 273*n + 265. Let k(y) = -i(y) - 3*u(y). Suppose k(b) = 0. What is b?
-125, -1
Let p(g) be the third derivative of -g**8/1344 + 23*g**7/105 - 91*g**6/80 + 34*g**5/15 - 181*g**4/96 - 105*g**2 - 2*g + 6. Factor p(o).
-o*(o - 181)*(o - 1)**3/4
Let c(h) be the second derivative of -h**6/1440 + 17*h**5/480 - h**4/6 + h**3/3 + h**2/2 - h - 21. Let s(q) be the second derivative of c(q). Solve s(o) = 0.
1, 16
Let l be (-4)/18*126603/(-2084). Factor -243/4 - 3/4*u**2 - l*u.
-3*(u + 9)**2/4
Let d(r) = r**3 + r**2 - 10*r + 2. Let i(y) = y**2 + y - 1. Let k(q) = -d(q) + 6*i(q). Let b be k(7). Factor -2*o**2 - 2*o + o**3 + 1 + b*o**2 + 1 + 7*o.
(o + 1)**2*(o + 2)
Let r(b) be the second derivative of -b**4/3 + 476*b**3/3 + 478*b**2 - 6*b - 453. Suppose r(v) = 0. Calculate v.
-1, 239
Let w(d) be the third derivative of d**6/30 - 182*d**5/15 - d**4/6 + 364*d**3/3 + 51*d**2 + 33*d. Determine v, given that w(v) = 0.
-1, 1, 182
Let h(x) = x**2 + 4*x + 4. Let z = 26 - 30. Let j be h(z). Factor j*q**2 + 6 - 16*q + 2 + 4.
4*(q - 3)*(q - 1)
Suppose 2*t + 25 = 5*x - 28, 3*t - 3*x = -102. Let j = t - -74. Suppose 7*s - 2*s + 38*s**2 + 80*s**3 + j*s**4 + 17*s**2 + 5*s = 0. What is s?
-1, -2/7, 0
Find j such that 17249*j**4 - 11*j**2 - 5*j**2 + 17242*j**4 - 34490*j**4 + 16*j**3 - j**5 = 0.
-4, 0, 1, 4
Suppose -w + 3*y - 51 = 0, 8881*y = -4*w + 8884*y - 42. Factor 49/2*n**2 + 25/2*n**w - 1/2 + 23/2*n.
(n + 1)**2*(25*n - 1)/2
Let k(w) be the first derivative of 8/3*w + 8/9*w**3 - 6*w**2 + 68 + 3*w**4 - 16/15*w**5. Find m such that k(m) = 0.
-1, 1/4, 1, 2
Let a(u) be the second derivative of u**5/100 + 14*u**4 + 5880*u**3 + 4148*u. Factor a(z).
z*(z + 420)**2/5
Let t(u) = -26*u**3 + 155*u**2 - 246*u + 21. Let s(c) = -c**2 + 1. Let l(b) = 3*s(b) - t(b). Suppose l(a) = 0. Calculate a.
1/13, 3
Let i(d) be the third derivative of d**7/2205 - 46*d**6/315 + 1441*d**5/105 - 598*d**4/9 + 1183*d**3/9 + 851*d**2. Suppose i(z) = 0. What is z?
1, 91
Let d(y) be the second derivative of y**7/42 + 14*y**6/15 - 3*y**5/2 - 7*y**4/3 + 29*y**3/6 - 2*y + 2198. Factor d(a).
a*(a - 1)**2*(a + 1)*(a + 29)
Let h(c) be the first derivative of -c**5/5 + 8*c**4 + 4*c**3/3 - 64*c**2 - 47. Find p such that h(p) = 0.
-2, 0, 2, 32
Suppose 0 = -8*h + 2*h + 138378. Factor -h - 24*r**2 + 23063 + 3*r.
-3*r*(8*r - 1)
Let k = 619 - 595. Factor 7*v - 13*v + k*v**3 - 109 - 18*v + 3*v**4 + 136 - 19*v**2 - 11*v**2.
3*(v - 1)**2*(v + 1)*(v + 9)
Factor 960*q**2 - 144*q -