2*(u + 1)/2
Let x(m) = 50*m**3 - 41*m**2 - 15*m + 247. Let t(r) = 28*r**3 - 20*r**2 - 8*r + 124. Let o(q) = -7*t(q) + 4*x(q). Factor o(h).
4*(h - 5)*(h - 3)*(h + 2)
Let t = 35704/107121 - -1/35707. Suppose -t*i**2 + 0*i + 1/6*i**3 + 0 = 0. Calculate i.
0, 2
Let i(l) be the third derivative of -1/2*l**4 + 4*l**3 + 4*l**2 + 1/112*l**8 + 0 + 8*l - 1/2*l**5 + 1/40*l**6 + 2/35*l**7. Find x, given that i(x) = 0.
-2, 1
Solve 482/5*b - 972/5 + 2/5*b**2 = 0.
-243, 2
Let z = -127 + 129. Suppose -z*b = 3*u - 0*u - 80, 3*u + 4*b = 88. Let -a**3 - 36 - u*a**2 + 2*a**3 + 3*a**2 - 4*a**3 - 48*a = 0. What is a?
-3, -2
Determine l so that 1/3*l**3 + 7*l**2 + 16 - 70/3*l = 0.
-24, 1, 2
Let u(o) be the first derivative of -o**8/2688 + o**6/240 - 3*o**2 - 10*o + 27. Let i(f) be the second derivative of u(f). Factor i(r).
-r**3*(r - 2)*(r + 2)/8
Suppose -5*j + 183 - 148 = 0. Let s(h) be the first derivative of -1/6*h**3 + 3/4*h**2 + 2*h + j. Find w, given that s(w) = 0.
-1, 4
Let d(w) = -2*w**3 + w - 1. Let z(n) = -3*n**3 + 7*n**2 - 14*n + 8. Let a(s) = -s**3 + 7*s**2 - 5*s - 8. Let y be a(6). Let r(o) = y*z(o) + 2*d(o). Factor r(q).
2*(q - 3)**2*(q - 1)
Suppose -2*q = 2*i - 4*i + 8, -2*q + 24 = 2*i. What is y in -13*y + 32 - i + 19*y - 26*y + 4*y**2 = 0?
2, 3
Let k = 25/2 + -8. Let b be (-1)/((-2)/18) - (-25 + 34). Determine m so that b + 1/2*m**2 - k*m = 0.
0, 9
Let b(p) = -13*p**4 - 1177*p**3 - 1577*p**2 - 406*p + 7. Let q(r) = 20*r**4 + 1765*r**3 + 2366*r**2 + 610*r - 11. Let h(w) = 11*b(w) + 7*q(w). Factor h(d).
-d*(d + 1)*(d + 196)*(3*d + 1)
Suppose 12*s + 76 = -3*w + 8*s, -w - 51*s = 1118. Suppose 68/7*r + 4/7*r**3 - 36/7 - 37/7*r**2 + 1/7*r**w = 0. Calculate r.
-9, 1, 2
Solve -76/5*c**2 + 1/5*c**3 + 256*c + 1280 = 0.
-4, 40
Let v = -6 - -20. Suppose -k - 15 = 4*w, -2*k = -w - 1 - v. Factor -k*j**4 + 27*j**2 + 38*j**2 - 45*j**2.
-5*j**2*(j - 2)*(j + 2)
Let u(m) be the second derivative of -1/3*m**2 - 1/90*m**6 + 1/60*m**5 + 1/12*m**4 - 1/18*m**3 + 49 - m. Determine p, given that u(p) = 0.
-1, 1, 2
Let y(h) be the first derivative of 0*h + 5*h**3 - 35/4*h**4 - 226 - 5/6*h**6 + 5*h**5 + 0*h**2. Factor y(a).
-5*a**2*(a - 3)*(a - 1)**2
Solve 46/5*n**3 - 4/5 - 46/5*n - 38/5*n**2 + 42/5*n**4 = 0 for n.
-1, -2/21, 1
Let i(b) = -2*b**2 + 11*b. Let o be i(5). Suppose 28 = -3*q + o*u + 6, -5*q - 20 = -5*u. Determine h, given that -3*h**2 - q + 71*h - 36*h - 38*h - h**3 = 0.
-1
Let g(d) = -14*d**3 + 42*d**2 + 56*d - 208. Let j(z) = -12*z**3 + 40*z**2 + 55*z - 209. Let a(q) = 7*g(q) - 8*j(q). Solve a(t) = 0.
-9, -6, 2
Solve -1480/7*t + 273800/7 + 2/7*t**2 = 0 for t.
370
Let i(f) = -4*f - 5. Let t be i(-2). Suppose t*l = c - 17, 2*c - l = 4*l + 30. Factor -56*j**2 - 11*j**5 + 34*j - 14*j**c - 16*j**4 + 27*j**5 - 8 + 44*j**3.
2*(j - 4)*(j - 1)**4
Let q(n) be the second derivative of -8*n**3/3 + 433*n**2/2 - 21*n - 4. Let h be q(27). Factor h - 3/5*y**2 + 14/5*y.
-(y - 5)*(3*y + 1)/5
Let k be (-496)/(-6) + (-42)/(-18). Let g be 0/(2 + 0) - (-102)/k. Factor 2/5*a**2 + g*a + 2/5*a**4 - 4/5 - 6/5*a**3.
2*(a - 2)*(a - 1)**2*(a + 1)/5
Let v(c) = 81 - 4*c**2 - 169 + c**2 + 75 + 21*c. Let y be v(6). Solve 2/15*u**y - 2*u + 4/15*u**2 + 14/15*u**4 - 6/5 + 28/15*u**3 = 0 for u.
-3, -1, 1
Factor -164/11*a**4 - 1032/11*a**3 + 2/11*a**5 + 0 - 2096/11*a**2 - 128*a.
2*a*(a - 88)*(a + 2)**3/11
Suppose 648 + 1/4*w**3 + 328*w + 85/2*w**2 = 0. Calculate w.
-162, -4
Suppose -313*a = -1075*a + 1187 + 337. Let g(w) be the third derivative of 3*w - 7*w**a + 0*w**4 + 0 - 1/240*w**5 + 1/24*w**3. What is l in g(l) = 0?
-1, 1
Let h(s) be the third derivative of -s**9/90720 + 19*s**8/60480 + s**7/1512 - 5*s**5/4 - 279*s**2. Let o(t) be the third derivative of h(t). Factor o(g).
-g*(g - 10)*(2*g + 1)/3
Let y(q) = -q**2 - 23*q + 53. Let a be y(-25). What is x in 2*x + 4*x - 6*x**3 + a*x**2 + 7806*x**4 - 7809*x**4 = 0?
-2, -1, 0, 1
Let v(d) be the third derivative of 3/8*d**4 - 13/9*d**3 - 1/180*d**5 - 2*d + 0 - 8*d**2. Factor v(h).
-(h - 26)*(h - 1)/3
Find n such that -111*n - 97 + 3478*n**2 - 91 - 3482*n**2 + 3*n - 252 = 0.
-22, -5
Let o be (0/(1 - 5))/((-8)/(-4)). Factor 4*b**3 + o*b**4 + 4*b**2 - 13*b + 9*b - 4*b**4.
-4*b*(b - 1)**2*(b + 1)
Suppose 16/3*n**2 - 80/3 - 44/3*n + 3*n**3 = 0. Calculate n.
-2, 20/9
Suppose -219 = -26*x - 11. Suppose -4*n + x = -5*y + 4, -3 = -3*n. Factor -l + y - 9/2*l**3 - 5/2*l**4 - 7/2*l**2 - 1/2*l**5.
-l*(l + 1)**3*(l + 2)/2
Let s(g) be the second derivative of g**4 - 394*g. Let l(a) = 2*a**2. Let f(c) = -12*c**2. Let o(z) = 6*f(z) + 34*l(z). Let j(q) = 8*o(q) + 3*s(q). Factor j(p).
4*p**2
Factor -8*j**2 + 945 + 13*j**2 + 955*j - 383 + 388.
5*(j + 1)*(j + 190)
Let v(s) be the third derivative of -s**6/360 - s**5/15 + 11*s**4/24 + 130*s**3/9 - 2460*s**2. Suppose v(h) = 0. What is h?
-13, -4, 5
Find z such that 151/3*z**2 + 0*z - 1/3*z**3 + 0 = 0.
0, 151
Let u(b) be the first derivative of b**4/4 - 20*b**3/3 - 39*b**2/2 - 62*b - 310. Let k be u(22). Factor -k + 8*o - 1/3*o**2.
-(o - 12)**2/3
Let s(o) be the second derivative of -28*o - 32/3*o**2 + 23/30*o**5 + 1/3*o**4 - 128/9*o**3 + 1 - 4/45*o**6. What is l in s(l) = 0?
-2, -1/4, 4
Let k(n) be the first derivative of -n**5/70 - n**4/21 - n**3/21 + 9*n + 13. Let h(b) be the first derivative of k(b). Factor h(x).
-2*x*(x + 1)**2/7
Let -141*h - 34*h**2 + 461*h - 224 - 2*h**3 - 264*h - 228*h = 0. What is h?
-8, -7, -2
Suppose 18 = 2*d + 2*n, 4*n + 19 = 31. Solve 2/3*a + d*a**3 + 0 - 4*a**2 = 0 for a.
0, 1/3
Let a be 2/3*(-513)/(-6). Suppose 33 + a = 3*t. Factor 40*y**2 + 80 + t*y**3 - 15*y**3 - 20*y**3 - 100*y.
-5*(y - 4)*(y - 2)**2
Solve 79*h**3 - 972 + 1861*h**4 - 1320*h**3 - 9730*h**3 - 11448*h + 21777*h**2 + 38*h**4 - 204*h**4 - 81*h**5 = 0 for h.
-2/27, 1, 2, 9
Solve 2291*l - l**2 + 1170 + 1814*l + 36*l**2 = 0.
-117, -2/7
Let a(j) = 10*j**2 + 10*j + 5. Let b be 4/(-12)*-6 + 2. Let d(o) = 9*o**2 + 11*o + 6. Let f(v) = b*a(v) - 5*d(v). Factor f(u).
-5*(u + 1)*(u + 2)
Let f(h) be the second derivative of -h**7/56 + 13*h**6/30 + h**5/30 - 161*h**4/24 - 623*h**3/72 - 17*h**2/4 + 2960*h. Suppose f(p) = 0. Calculate p.
-2, -1/3, 3, 17
Let c be (-42)/(-36)*39560/(-21). Let g = c - -2198. Suppose 4/9*s - g + 14/9*s**2 + 8/9*s**3 = 0. What is s?
-1, 1/4
Let f(s) be the third derivative of s**8/456 - 68*s**7/1995 + 33*s**6/380 - 11*s**5/285 - 4*s**4/57 - 1045*s**2. Suppose f(l) = 0. What is l?
-2/7, 0, 1, 8
Let k(f) = 12*f**3 - 64*f**2 - 236*f - 152. Let r(m) = -25*m**3 + 128*m**2 + 474*m + 304. Let z(j) = -17*k(j) - 8*r(j). Let z(y) = 0. Calculate y.
-2, -1, 19
Let p(a) be the third derivative of 0*a**3 + 0*a + 0*a**5 + 0*a**4 + 0 + 9/20*a**6 - 271*a**2 + 1/168*a**8 + 4/15*a**7. What is o in p(o) = 0?
-27, -1, 0
Let x = -22 + 27. Let f be (-35)/98*(-4)/x. Factor f*h**2 - 12/7 + 10/7*h.
2*(h - 1)*(h + 6)/7
Let w(j) be the first derivative of -j**3/3 - 276*j**2 + 2016. Determine z so that w(z) = 0.
-552, 0
Let t(j) be the third derivative of -10 + 3*j**2 + 1/150*j**5 + 0*j**6 - 1/525*j**7 + 0*j**3 + 0*j + 0*j**4. Determine k so that t(k) = 0.
-1, 0, 1
Let q(d) = 3*d**4 - 651*d**3 + 1985*d**2 - 1999*d + 667. Let w(v) = -5*v**4 + 976*v**3 - 2978*v**2 + 3000*v - 1001. Let s(y) = -8*q(y) - 5*w(y). Factor s(x).
(x - 1)**3*(x + 331)
Solve -7304/9*k + 4/9*k**2 + 3334276/9 = 0.
913
Let o(s) be the second derivative of 5/9*s**4 - 15*s - 1/90*s**5 - 3 - 25/3*s**3 + 0*s**2. Factor o(b).
-2*b*(b - 15)**2/9
Suppose -771*h**2 - 11810 + 4517 + 5363 + 5*h**3 - 2885*h - 179*h**2 = 0. Calculate h.
-2, -1, 193
Let i = 13077 + -13075. Let y(t) be the second derivative of -20*t - 1/60*t**4 + 1/3*t**3 + 0 - 9/10*t**i. Let y(l) = 0. Calculate l.
1, 9
Solve 20*y**3 + 82 + 14*y**3 - 9*y**4 + 288*y + 2*y**3 + 110 + 12*y**4 + 156*y**2 = 0.
-4, -2
Let i(j) be the third derivative of j**8/168 - 2*j**7/35 - j**6/10 + 22*j**5/15 - 17*j**4/4 + 6*j**3 + 2088*j**2 - j. Suppose i(m) = 0. What is m?
-3, 1, 6
Let h(t) be the second derivative of -t**6/70 + 9*t**5/5 - 317*t**4/28 - 129*t**3/7 + 2160*t**2/7 - 3*t - 551. Determine y, given that h(y) = 0.
-2, 3, 80
Let g be (-1)/(1/(-2))*45/(-6). Let b be (-160)/(-56)*(-6)/g. Determine q so that -b*q**3 - 22/7*q - 26/7*q**2 - 4/7 = 0.
-2, -1, -1/4
Let o(m) be the second derivative of m**5/4 + 4*m**4/3 - 8*m**3/3 -