0))/(158/(-395)). Let g be (q - 0/(-10))/(-1). Factor 1/2 + 1/4*t**g - 1/2*t**2 - 1/4*t.
(t - 2)*(t - 1)*(t + 1)/4
Let v = 54229/180 - 6021/20. Suppose 0 + 32/9*g - v*g**2 = 0. Calculate g.
0, 16
Suppose -d = a - 36, 0 = -4*a + 2*a + d + 63. Suppose 35*q - 8 = a*q. Factor 13*c**2 - 12*c**2 - 8 - q*c**3 + 4*c + 7*c**2.
-4*(c - 2)*(c - 1)*(c + 1)
Let n(d) be the second derivative of 2*d**4/7 - 387*d**3/14 + 216*d**2/7 + 822*d. Factor n(r).
3*(r - 48)*(8*r - 3)/7
Let m(v) = 13*v**2 + 18*v - 44. Let f(o) = 20 - 14 - 18*o + 37 + 0*o**2 - 10*o**2. Let g(q) = 4*f(q) + 3*m(q). Let g(k) = 0. What is k?
-20, 2
Suppose 1036 = 220*z + 156. Let s(x) be the first derivative of 3/28*x**z + 27/14*x**2 + 12/7*x + 9 + 6/7*x**3. Factor s(h).
3*(h + 1)**2*(h + 4)/7
Let v(q) be the second derivative of -q**6/240 + 27*q**5/40 - 467*q**4/16 - 1595*q**3/12 + 9075*q**2/16 - 148*q. Factor v(x).
-(x - 55)**2*(x - 1)*(x + 3)/8
Let z(r) = -11*r - 40. Let p be z(-5). Factor 20*q**3 - 20*q + 20 + 124*q**4 - 375*q**4 - p*q**2 + 127*q**4 + 119*q**4.
-5*(q - 2)**2*(q - 1)*(q + 1)
Let i = -409/2 + 4295/21. Let x(d) be the third derivative of 4/21*d**3 + 3/35*d**5 + 0*d + 2/735*d**7 - 13*d**2 + i*d**6 + 0 + 1/6*d**4. What is t in x(t) = 0?
-2, -1
Let f = 353 + -351. Factor -32*o**3 + 288*o**f - 16*o**3 - 749*o**4 + 751*o**4.
2*o**2*(o - 12)**2
Factor -350/9*n + 2/9*n**2 - 236/3.
2*(n - 177)*(n + 2)/9
Let q = -736607 - -2209895/3. Find c, given that -q*c - 1369/3 - 1/3*c**2 = 0.
-37
Let w(k) = -190*k - 29448. Let n be w(-155). Factor -1/4*b**n + 3/2*b + 4.
-(b - 8)*(b + 2)/4
What is a in 29 - 403/3*a - 5/3*a**3 - 53*a**2 = 0?
-29, -3, 1/5
Let z(l) be the second derivative of -l**5/15 - l**4/6 + 4*l**3/3 + 61*l**2/2 + 12*l. Let w(h) be the first derivative of z(h). Factor w(o).
-4*(o - 1)*(o + 2)
Let q(n) be the first derivative of 4/3*n**3 - 40*n + 18*n**2 + 71. Suppose q(v) = 0. What is v?
-10, 1
Let u(n) = 7*n**3 - 88*n**2 - 101*n - 22. Let g(z) = 38*z**3 - 529*z**2 - 606*z - 131. Let p(d) = 4*g(d) - 23*u(d). Factor p(j).
-(j + 1)*(j + 9)*(9*j + 2)
Suppose -i + 3*n = -19, -4*i + 4 = -2*n - 22. Let a be (10/45)/(i/24). Factor -4/3*p**3 - 28/9*p**2 + 28/9*p + a.
-4*(p - 1)*(p + 3)*(3*p + 1)/9
Let a(l) be the first derivative of 1/20*l**5 + 23/8*l**2 - 2*l + 5/16*l**4 + 38 - 7/4*l**3. Factor a(p).
(p - 1)**3*(p + 8)/4
Let p(n) be the first derivative of -1/48*n**6 + 1/4*n**3 - 1/8*n**4 - 3/20*n**5 + 5/16*n**2 + 0*n - 42. Let p(h) = 0. What is h?
-5, -1, 0, 1
Suppose -2*u = 2*r - 12, r + 0 = u - 2. Suppose 2*g - 10 = -3*b, 4*g + 0*b + 5*b - 18 = 0. Factor -4*y - 129*y**g + 141*y**2 - 8*y + u - 4*y**3.
-4*(y - 1)**3
Let b = 1757362 - 1757349. Let -40/3*s + 53/2*s**2 - 1/6*s**4 + 0 - b*s**3 = 0. Calculate s.
-80, 0, 1
Let r(b) be the second derivative of 0 - 21/100*b**5 + 6/5*b**2 + 6/5*b**3 + 6*b - 9/20*b**4. Factor r(u).
-3*(u - 1)*(u + 2)*(7*u + 2)/5
Let k = 1854 - 1834. Let u be ((-17)/((-3825)/(-40)))/((-2)/k). Factor -32/9*g + 0 - 2/9*g**3 - u*g**2.
-2*g*(g + 4)**2/9
Let n(m) = -m**2 - 7*m - 10. Let k be n(-3). Suppose 50*h**3 - 14*h**4 - 134*h - 21*h**k - 25*h**2 - 6*h**2 + 150*h = 0. What is h?
0, 4/7, 1, 2
Let q be (-10)/20*(-8 + 462/63). Factor q*y - 4/3*y**2 + 0.
-y*(4*y - 1)/3
Let j(p) = 84*p**3 + 5220*p**2 - 16*p + 128. Let u(a) = 16*a**3 + 1044*a**2 - 3*a + 24. Let h(b) = 3*j(b) - 16*u(b). Determine q, given that h(q) = 0.
-261, 0
Factor -50*u**2 - 12*u - 17*u + 49*u**2 + 99*u - 37*u.
-u*(u - 33)
Let q be ((-5)/(-10) - 1)*122/1. Let r = 107 + q. Suppose -4*t - 3*t + t + 114*t**3 + 10*t**2 + 36*t**5 + 3 - 111*t**4 - r*t**2 = 0. Calculate t.
-1/4, 1/3, 1
Let z = -1004784 + 5023957/5. Solve z*d**2 - 1/5 + 36/5*d = 0.
-1, 1/37
Let q(l) be the first derivative of l**6/120 - 9*l**5/40 + l**4 - 25*l**3/3 - 9. Let p(t) be the third derivative of q(t). Factor p(m).
3*(m - 8)*(m - 1)
Let r = -243 + 249. Let t(d) = -5*d**2 + 85*d - 98. Let l(c) = -3. Let f(w) = r*l(w) - t(w). Suppose f(x) = 0. What is x?
1, 16
Let o(a) = 62*a**2 - 41*a + 72. Let x(c) = -9*c**2 + c. Let p(h) = -5*o(h) - 35*x(h). Factor p(s).
5*(s - 2)*(s + 36)
Let o(p) = 23*p + 97. Let a be o(-4). Suppose -2*l - 15 = 2*q + l, -a = l. Factor q - 3/7*h**2 + 0*h - 3/7*h**3.
-3*h**2*(h + 1)/7
Let t(c) be the second derivative of -2*c**3 + 90*c**2 - 10 + 1/60*c**4 - 6*c. Factor t(l).
(l - 30)**2/5
What is u in -u**2 + 204*u - 10 - 190*u + 34 - 57 = 0?
3, 11
Let o = 13263/2 - 39787/6. Let -o*l**2 + 4 + 4/3*l = 0. Calculate l.
-2, 6
Let 19/2*i + 1/4*i**2 - 123/4 = 0. Calculate i.
-41, 3
Let i(x) be the third derivative of -7*x**7/25 - 791*x**6/100 - 771*x**5/25 - 256*x**4/5 - 224*x**3/5 - 619*x**2 - 2*x - 2. Suppose i(y) = 0. Calculate y.
-14, -1, -4/7
Let n(g) be the second derivative of -g**7/2520 + g**6/480 - g**5/240 + 25*g**4/6 + 86*g. Let a(x) be the third derivative of n(x). Let a(c) = 0. What is c?
1/2, 1
Let n be -9 + 111/12 + (-54)/(-8). Suppose -1 + 12*y**2 - 16*y**2 - 2 + n*y**2 = 0. What is y?
-1, 1
Let w(a) be the second derivative of -89*a**4/16 + 357*a**3/8 - 3*a**2/2 + 472*a - 2. Factor w(z).
-3*(z - 4)*(89*z - 1)/4
Let g(b) be the second derivative of -b**5/20 - 7*b**4/4 - 10*b**3/3 + 2*b - 28. Factor g(m).
-m*(m + 1)*(m + 20)
Let l(p) be the third derivative of p**5/30 - 445*p**4/12 + 442*p**3 - 453*p**2 + 3*p + 1. Factor l(w).
2*(w - 442)*(w - 3)
Let c(b) be the third derivative of -b**8/336 + b**7/30 + 19*b**6/120 - 7*b**5/60 - 3*b**4/4 - 205*b**2 - 1. Determine l, given that c(l) = 0.
-2, -1, 0, 1, 9
Solve -4/9*x**3 - 73948/9*x - 1100/9*x**2 + 77284/3 = 0.
-139, 3
Factor 48*a**4 - 1089*a - 4332*a**3 - 7508*a**3 - 3 - 5608*a**3 + 8715*a**2 + 3.
3*a*(a - 363)*(4*a - 1)**2
Suppose -2*q + 2*r = -6, 22*q - 19*q = 2*r + 8. Solve -q*w**2 + 594*w - 2*w**2 + w**2 - 10429 - 18974 = 0 for w.
99
Suppose m + 45 = 5*i - 3*m, -36 = -4*i - 5*m. Suppose 16*j = i*j. Let 1/4*l**4 - 3/4*l**2 + 0 - 1/2*l + j*l**3 = 0. What is l?
-1, 0, 2
Let t(k) be the third derivative of -40*k**2 + 0 + 25/6*k**3 - 2*k - 1/120*k**6 - 35/24*k**4 + 11/60*k**5. Factor t(n).
-(n - 5)**2*(n - 1)
Let l(h) = -140*h - 58. Let t be l(-6). Let b be 2/15 - t/(-1785). Let -20/7*q**2 + 24/7 - b*q**4 - 20/7*q + 20/7*q**3 = 0. What is q?
-1, 1, 2, 3
Let p(l) be the third derivative of -l**5/75 - 3*l**4/5 - 32*l**3/3 - 29*l**2 + 2*l + 194. What is u in p(u) = 0?
-10, -8
Let f be (-4*(-5)/420)/(21/49). Factor 1/9*n + f*n**2 - 4/3.
(n - 3)*(n + 4)/9
Let k(r) = 175*r**2 + 39*r + 54. Let j(q) = 35*q**2 + 8*q + 11. Let x(g) = 11*j(g) - 2*k(g). Let a be x(-6). Factor -a - b**2 - 2*b + 1213.
-b*(b + 2)
Let g be (((-8)/(-2))/20)/(386/772). Find b such that -3/5*b - 1/5*b**2 - g = 0.
-2, -1
Suppose 5*b - 58 = 4*p, -194 = 7*b + 4*p - 160. Solve -3/2*n**b - 42*n - 294 = 0 for n.
-14
Find k, given that 2/19*k**2 + 72/19*k - 8 = 0.
-38, 2
Let v(c) = -3*c + 2. Let x(a) = 2*a**2 + 47*a - 139. Let t(k) = -2*v(k) + x(k). Let n be t(-29). Solve 42/13*r**3 - 4/13*r + 38/13*r**n + 0 = 0.
-1, 0, 2/21
Factor 560/3*b - 2/3*b**2 + 562/3.
-2*(b - 281)*(b + 1)/3
Let y(t) = -24*t**4 - 3534*t**3 - 774292*t**2 + 4741842*t - 7160996. Let h(d) = -2*d**4 + d**3 - 3*d - 2. Let u(l) = -10*h(l) + y(l). Let u(s) = 0. What is s?
-446, 3
Let k be -1 - 2/((-216)/(-66843)). Let r = k - -620. Factor 0 + r*m**2 + 0*m + 1/12*m**4 - 1/6*m**3.
m**2*(m - 1)**2/12
Let y = 17 + 5. Find z, given that y*z - 70 - 4*z**2 + 3*z - 3*z**2 + 12*z**2 = 0.
-7, 2
Let d = 464 - 458. Let f(n) = 21*n**3 - 93*n**2 - 307*n + 80. Let j(b) = -10*b**3 + 46*b**2 + 154*b - 40. Let o(t) = d*f(t) + 11*j(t). Let o(h) = 0. What is h?
-2, 1/4, 5
Let y = -63 + -25. Let z = y - -151. Factor 4*t + t**2 - z*t**3 - 3*t**2 + 61*t**3.
-2*t*(t - 1)*(t + 2)
Let l(h) = -189*h + 38938. Let n be l(206). Solve 0 + 2/9*z**5 + 2/9*z**3 - 2/3*z**2 - 4/9*z + 2/3*z**n = 0.
-2, -1, 0, 1
Let r(p) be the first derivative of -5*p**6/252 + 9*p**5/14 - 243*p**4/28 + p**3 - 21*p - 152. Let u(t) be the third derivative of r(t). Factor u(c).
-2*(5*c - 27)**2/7
Let b(i) be the second derivative of i**4/36 + i**3/3 - 8*i**2/3 - 3*i + 22. Suppose b(p) = 0. Calculate p.
-8, 2
Let a(z) = -24*z**3 + 5*z**2 - 5*z + 5. Let r(f) = 19*f**3 - 5*f**2 + 4*f - 4. Let m(v) = -4*a(v) - 5*r(v). Factor m(i).
i**2*(i + 5)
Let p be (-2)/((-20)/(-30)*3/(-13)). Let c(