 Factor y(w).
-2*(w - 1)*(w + 1)*(w + 81)/7
Let j = 1086677940 + -11128668772346/10241. Let a = j + -2/931. What is f in -54/11*f - 24/11*f**2 - a = 0?
-2, -1/4
Let k = 422 + -419. Suppose 7*f + 12 = 4*q + 3*f, q = -2*f + k. Suppose 16/9*y + 1/9*y**q + 4/3 + 7/9*y**2 = 0. What is y?
-3, -2
Let j(c) = 2*c**2 + 493*c + 5275. Let u(d) = 3*d**2 + 492*d + 5274. Let x(o) = -6*j(o) + 5*u(o). Suppose x(b) = 0. Calculate b.
-10, 176
Factor 1/4*b**2 - 95/2 - 9/4*b.
(b - 19)*(b + 10)/4
Let f = 3306775/6 + -551127. Solve 1/6*k**2 + 11/3 - f*k = 0.
2, 11
Suppose 5*f - 11 = -3*x, 94*x - 95*x = -2*f + 11. Let l(w) be the first derivative of -1/18*w**3 - 1/8*w**f + 1/4*w**2 - 1/30*w**5 - 6 + 1/3*w. Factor l(r).
-(r - 1)*(r + 1)**2*(r + 2)/6
Let a(b) be the first derivative of -b**6/15 - 6*b**5/25 + 9*b**4/2 - 154*b**3/15 + 36*b**2/5 + 4955. Suppose a(k) = 0. What is k?
-9, 0, 1, 4
Let c = 99126 + -99124. Suppose -1 + 21/10*x - 6/5*x**c + 1/10*x**3 = 0. Calculate x.
1, 10
Factor 60 + 39*l**2 + 40*l**2 - 122*l**2 + 4*l + 22*l + 45*l**2.
2*(l + 3)*(l + 10)
Let y(k) be the first derivative of 10*k**3/9 - 1955*k**2/12 - 245*k/3 + 1132. Factor y(w).
5*(w - 98)*(4*w + 1)/6
Let v = -10635703810/1827 - -5821403. Let y = -1/261 - v. Factor 2/7*a + y*a**2 - 4/7.
2*(a - 1)*(a + 2)/7
Let q(p) be the first derivative of 23/20*p**2 + 1/30*p**3 + 0*p - 14. Suppose q(z) = 0. Calculate z.
-23, 0
Let h(x) be the first derivative of 2*x**3/7 + 2757*x**2/14 + 1377*x/7 - 632. Solve h(z) = 0 for z.
-459, -1/2
Let j(u) be the first derivative of -u**4/26 - 116*u**3/39 - 112*u**2/13 + 12027. Factor j(f).
-2*f*(f + 2)*(f + 56)/13
Let z(b) be the second derivative of -b**4/48 + 5*b**3/6 + 125*b**2/8 - 1407*b. Factor z(v).
-(v - 25)*(v + 5)/4
Let k(s) be the first derivative of 2*s**5/15 + 110*s**4/3 - 886*s**3/9 + 74*s**2 + 2413. Factor k(q).
2*q*(q - 1)**2*(q + 222)/3
Let g(k) be the first derivative of -1/2*k**3 - 384*k + 43 + 24*k**2. Suppose g(v) = 0. What is v?
16
Solve 153/4 - 3/4*n**2 - 21/2*n = 0 for n.
-17, 3
Let a be 2*(-1)/(-6)*9. Solve 39*d**a + 190*d**2 - 134*d**3 + 144*d + 190*d**2 + 4*d**4 + 172*d**2 = 0 for d.
-1/4, 0, 12
Let n(y) be the first derivative of -2*y**5/25 + 4*y**4/5 - 8*y**3/15 - 48*y**2/5 + 4776. Factor n(k).
-2*k*(k - 6)*(k - 4)*(k + 2)/5
Let a(r) be the third derivative of -2*r**3 - 3/4*r**5 - 2*r - 49*r**2 - 1/70*r**7 + 7/40*r**6 + 0 + 13/8*r**4. Solve a(v) = 0 for v.
1, 4
Let h be ((27 - 149) + 8)/(-1*10 - -2). Factor -1/4*p**2 + 29/2*p - h.
-(p - 57)*(p - 1)/4
Let n be 1/(-2) - ((-49)/14 + -3). Suppose 3*o = 2*t + 11, -1 = 3*o + 4*t - n. Solve -27*d**o - 15*d**2 - 4/3 + 32/3*d = 0.
-1, 2/9
Suppose 7*w + 36 = -2*w. Let f be 8*(5 + 10/w). Factor -12*o - f - 28*o + 10*o**3 + 5*o**4 - 42*o**2 + 27*o**2.
5*(o - 2)*(o + 1)**2*(o + 2)
Let 267/5*d + 27 - 3/5*d**3 + 129/5*d**2 = 0. What is d?
-1, 45
Let -350 + 7334*v**2 + 35 - 3665*v**2 - 3666*v**2 - 24*v = 0. Calculate v.
-7, 15
Let l = 2146/415 - 2676349/441560. Let c = -5/152 - l. Determine w, given that 8/7*w**4 - 6/7*w**3 + c*w - 10/7*w**2 + 2/7 = 0.
-1, -1/4, 1
Factor 153/4*t**3 - 315/2*t**2 + 0 + 3/8*t**4 + 159*t.
3*t*(t - 2)**2*(t + 106)/8
Factor -16 - 52/9*q + 14/9*q**2 + 2/9*q**3.
2*(q - 4)*(q + 2)*(q + 9)/9
Let x(v) be the third derivative of -v**5/540 + v**4/24 + 26*v**3/27 + 2622*v**2. Determine t, given that x(t) = 0.
-4, 13
Let z(p) be the third derivative of -p**6/160 - p**5/80 + 103*p**2 - 3*p + 2. Let z(x) = 0. Calculate x.
-1, 0
Let n(r) be the third derivative of 7*r**5/20 - 57*r**4/4 + 16*r**3 + 34*r**2. Suppose n(a) = 0. What is a?
2/7, 16
Suppose 10*g - 6*g + 8 = 2*a, -2*a + 5*g = -11. Let i be 0/(0 - (0 + a)). Factor i*h - 3/5*h**2 + 3/5*h**5 + 9/5*h**3 + 0 - 9/5*h**4.
3*h**2*(h - 1)**3/5
Let v = -58874 - -58874. Suppose -9/5*n - 1/5*n**2 + v = 0. Calculate n.
-9, 0
Let u = 45856 - 45854. Solve u*h**4 + 2 + 4/3*h**3 - 4*h**2 - 2/3*h**5 - 2/3*h = 0.
-1, 1, 3
Suppose -32/9*m**4 + 40/9*m + 44/3*m**2 - 16/9 - 2*m**5 + 62/9*m**3 = 0. Calculate m.
-2, -1, 2/9, 2
Let w(x) be the second derivative of 2/15*x**6 + 4/15*x**4 - 8/25*x**5 + 0*x**3 + 0*x**2 + 2*x - 2/105*x**7 + 6. Factor w(h).
-4*h**2*(h - 2)**2*(h - 1)/5
Suppose -10 = 5*b, -8*b = 2*x - 10*b + 159784. Let s = x + 158019. Factor 1056*j - 4 - 18750*j**2 - s*j**3 - 2556*j - 36.
-5*(25*j + 2)**3
Let b = 3207633/8 + -400286. Let z = b + -667. Let -z*a + 3/8*a**2 + 3/4 = 0. Calculate a.
1, 2
Let m(w) be the first derivative of 5*w**4/4 - 310*w**3/3 + 275*w**2/2 + 1830*w - 9170. Solve m(z) = 0.
-2, 3, 61
Let i(o) = 2*o**2 - 2*o - 1. Let q(n) = 15*n**2 - 195*n - 825. Let d(l) = -5*i(l) + q(l). Find m, given that d(m) = 0.
-4, 41
Let c = 163 + -163. Let d(y) be the third derivative of c*y**4 + 0 + 0*y - 1/2*y**3 - 16*y**2 + 1/20*y**5. Let d(j) = 0. What is j?
-1, 1
Let h(a) be the third derivative of a**6/120 - 139*a**5/60 + 4615*a**4/24 + 5041*a**3/2 + 2*a**2 - 2*a - 133. Factor h(n).
(n - 71)**2*(n + 3)
Let b = 2/11 - 171/1001. Let k = 278/455 - b. Find i such that 3/5*i**3 + 0 - k*i**2 + 0*i = 0.
0, 1
Determine k, given that -877362*k**2 + 7316 - 2624 + 877366*k**2 + 4696*k = 0.
-1173, -1
Find t, given that -14/3*t - 1/3*t**2 + 24 = 0.
-18, 4
Let k(s) be the first derivative of 13*s**6/30 - 3*s**5/5 - 11*s**4/20 + s**3 - s**2/5 - 774. Suppose k(r) = 0. What is r?
-1, 0, 2/13, 1
Let l(c) be the second derivative of -c**8/3360 + c**6/90 - 7*c**4/6 + c**3 - 40*c + 2. Let x(r) be the third derivative of l(r). Let x(n) = 0. Calculate n.
-2, 0, 2
Find d such that -2*d + 147 + 114 - 6 + 17*d + 21*d - 3*d**2 = 0.
-5, 17
Let w(x) = 3*x. Let q be w(2). Let a = -297 + 301. Suppose -4*v**4 - v**4 - 15*v - v**5 + 18*v**3 - q*v**2 - 2*v**5 + 2*v**a + 9 = 0. Calculate v.
-3, -1, 1
Let c be (-77116)/(-1378) + -48 - (-4)/106. Suppose c*n**3 + 24*n**2 - 12/5*n**4 - 36/5*n - 108/5 - 4/5*n**5 = 0. Calculate n.
-3, -1, 1, 3
Solve 0 + 368/7*w - 2/7*w**2 = 0 for w.
0, 184
Let c be (-590)/(-118) + (-7)/2. Let y(q) be the first derivative of -c*q**2 + 5 + 0*q + q**3. Solve y(d) = 0 for d.
0, 1
Suppose 2*k - z = 3, -2*z - 6 = -5*k + 3. Let o be -9 + 11 - (-2 - 0/k). Factor 0*h - 24/5*h**3 + 0 - 12/5*h**2 - 3/5*h**5 - 3*h**o.
-3*h**2*(h + 1)*(h + 2)**2/5
Let z be 10/(-5) - (-119 - -1*2). Let g = z - 24. Factor -4 - 7*f**4 + 72*f**3 - 25*f**2 - 16*f + 0*f**4 - g*f**3 - f**5.
-(f + 1)**3*(f + 2)**2
Factor 650*o**2 + 359 + 515*o + 120*o + o**5 + 230*o**3 - 2*o**5 - 150 + 5*o**4.
-(o - 19)*(o + 1)**3*(o + 11)
Let p**5 + 6*p**5 + 874410*p + 2540*p**3 + 1604*p**2 + 271*p**4 - 875082*p = 0. What is p?
-24, -14, -1, 0, 2/7
Let v(n) be the first derivative of n**4/2 + 82*n**3/3 + 151*n**2 + 222*n - 743. Factor v(g).
2*(g + 1)*(g + 3)*(g + 37)
Let o(n) = -4*n**4 + 43*n**3 + 282*n**2 + 823*n + 809. Let a(z) = 22*z**4 - 216*z**3 - 1410*z**2 - 4116*z - 4048. Let q(p) = -3*a(p) - 16*o(p). Factor q(c).
-2*(c + 2)*(c + 5)**2*(c + 8)
Suppose 28*f + 16 - 20557*f**2 + 20549*f**2 + 0 = 0. What is f?
-1/2, 4
Let s be (11440/(-4576))/((-10)/8 - 0). Factor 2*g - 60/13 - 2/13*g**s.
-2*(g - 10)*(g - 3)/13
Let v(z) be the first derivative of -z**6/36 - 169*z**5/15 - 38305*z**4/24 - 740264*z**3/9 - 711872*z**2/3 - 702464*z/3 + 438. Solve v(p) = 0.
-112, -1
Let r(v) = 45*v - 182. Let o be r(4). Let l be o/(2/(-6) - 13/39). Factor -4/3*w - 1/6*w**4 + 2/3*w**2 + 1/3*w**l + 0.
-w*(w - 2)**2*(w + 2)/6
Let v(m) be the second derivative of 3*m**4/28 + 1775*m**3/14 + 1773*m**2/7 + 287*m. Factor v(d).
3*(d + 591)*(3*d + 2)/7
Let y(l) = -l**4 + 62*l**3 + 268*l**2 + 367*l + 135. Let p(s) = 2*s**4 - 125*s**3 - 537*s**2 - 726*s - 271. Let j(r) = 3*p(r) + 5*y(r). Let j(h) = 0. What is h?
-2, -1, 69
Let k = -10105 - -10105. Let y(a) be the second derivative of -15*a + k*a**2 + 0*a**4 + 1/80*a**5 + 0 - 1/6*a**3. Factor y(i).
i*(i - 2)*(i + 2)/4
Suppose -483144 + 106920 + 84*n**2 + 6875*n - 89*n**2 - 518421 - 2645*n = 0. What is n?
423
Suppose 2/9*c**2 - 44/9*c - 32/3 = 0. What is c?
-2, 24
Determine g so that -32/15*g**2 + 34/15*g**3 + 0 - 2/15*g**4 + 0*g = 0.
0, 1, 16
Let r be ((-2)/14*-661)/(-94 - -93). Let k = -93 - r. Factor -6/7 - 2/7*m**2 + 2/7*m**3 - k*m.
2*(m - 3)*(m + 1)**2/7
Let o(h) = -571*h**2 + 1135*h - 567. Let s(q) = 2*q**3 + q**2 - q + 1. Let k(a) = 2*o(a) + 2*s(a). Solve k(c) = 0 for c.