 + 0.
n*(n - 2)*(n + 6)/5
Suppose 3*b = -0*b + 3*w - 6, 0 = -w + 3. Let b + 2*p**2 - p**3 + 343*p - 336*p + 3 = 0. What is p?
-1, 4
Factor 1008 + 1200/7*g + 4/7*g**2.
4*(g + 6)*(g + 294)/7
Let h(g) be the third derivative of -g**6/60 + 11*g**5/6 + 113*g**4/12 + 19*g**3 + 939*g**2. Find q, given that h(q) = 0.
-1, 57
Let o(y) = y**3 - 7*y**2 + 4. Let p be o(7). Let h be (0/4)/(2 + -4). Suppose -3*q**4 - 8*q**2 + q**4 + 8*q**3 + h*q**p = 0. Calculate q.
0, 2
Let u(h) be the first derivative of 6*h**3/5 - 71*h**2/5 + 112*h/5 + 550. Factor u(j).
2*(j - 7)*(9*j - 8)/5
Factor 2294/17*j - 8214/17 + 2/17*j**3 + 142/17*j**2.
2*(j - 3)*(j + 37)**2/17
Let d be (-2)/3 - 70/(-6). What is i in -20 + 14 + 3*i**3 - 6*i**2 - 2*i**3 + d*i = 0?
1, 2, 3
Let s(m) = 2*m**4 + m**3 + m**2 - 2*m - 1. Let w(b) = -3*b**4 + 75*b**3 - 82*b**2 - 152*b + 2. Let l(o) = 10*s(o) + 5*w(o). Factor l(h).
5*h*(h - 2)*(h + 1)*(h + 78)
Suppose 40*t + 19*t = -279*t. Let j(p) be the third derivative of 1/80*p**5 + 17*p**2 + 0*p - 3/16*p**4 + 9/8*p**3 + t. Factor j(o).
3*(o - 3)**2/4
Suppose 4*l = 288 + 1404. Suppose -430*d + l*d = 0. Factor d + 2/7*m**4 + 6/7*m**2 + 10/7*m**3 - 18/7*m.
2*m*(m - 1)*(m + 3)**2/7
Let t = 1935/16 - 1905/16. Let k(u) be the first derivative of -1/2*u**5 + 25/4*u**2 + 15/2*u**3 + 0*u + t*u**4 - 9. Find c, given that k(c) = 0.
-1, 0, 5
Let p be (-110)/3*(-63288)/45. Factor -48*h - p + 51568 - 28*h**3 + 64*h**2 + 4*h**4.
4*h*(h - 3)*(h - 2)**2
Let g(j) = j**3 + 54*j**2 - 2207*j + 542. Let u be g(27). Factor 3/2*k + 75/2*k**u - 3/2*k**3 - 75/2.
-3*(k - 25)*(k - 1)*(k + 1)/2
Let p be (7/3)/(26/468). Let 6*o**3 - 1080 + 540*o + p*o**2 - 132*o**2 + 5*o**3 - 6*o**3 = 0. Calculate o.
6
Let j = 29118 + -262061/9. Let n(f) be the first derivative of 7 - 4/9*f - 2/9*f**2 + j*f**4 + 4/27*f**3. Factor n(v).
4*(v - 1)*(v + 1)**2/9
Let s = 2697 + -2691. Let p(w) be the second derivative of 3/230*w**5 + 2/345*w**s + 1/138*w**4 + 21*w + 0*w**2 + 0 + 0*w**3. Determine d so that p(d) = 0.
-1, -1/2, 0
Factor -72 - 248/7*s + 2/7*s**2.
2*(s - 126)*(s + 2)/7
Suppose -111 = 29*v + 10503. Let p be (-4)/6*v/122. Factor 2/7*q**4 - 4/7*q - 2/7*q**p + 0 + 4/7*q**3.
2*q*(q - 1)*(q + 1)*(q + 2)/7
Let p(o) be the first derivative of 9*o**5/25 + 87*o**4/20 + 13*o**3 - 15*o**2/2 - 3691. Factor p(w).
3*w*(w + 5)**2*(3*w - 1)/5
Let w(z) be the third derivative of -7*z**4/24 + 53*z**3/6 - 32*z**2. Let l be w(7). Factor 157*v + 2*v**3 - 169*v - 36*v**l + 68*v**2 - 86*v**3.
-4*v*(v + 3)*(3*v - 1)**2
Suppose 0 = 8*a - 12*a + 56. Suppose 3*f = 3*u - 12, a = 4*u + 2*f - 8. Suppose 835*n**2 - 843*n**2 + 8*n**4 - 6*n**3 - 2*n**u + 8*n + 0*n**5 = 0. What is n?
-1, 0, 1, 2
Suppose -21*t + 88*t - 158 = -12*t. What is q in -3/7*q**t + 18 + 3/7*q = 0?
-6, 7
Factor -2*s**2 + 3770/7*s - 1076/7.
-2*(s - 269)*(7*s - 2)/7
Let n = 90 + -58. Let m = n - 30. Factor -44*p**m + 2*p**5 + 2 + 12*p**4 + 20*p**3 + 23*p**2 + 41*p**2 + 10*p - 2*p**4.
2*(p + 1)**5
Let v be 22/(-4)*(3 + -5) + -11. Let x(l) be the third derivative of 19*l**2 + v*l - 1/105*l**7 - 5/6*l**4 - l**3 - 2/5*l**5 - 1/10*l**6 + 0. Factor x(y).
-2*(y + 1)**3*(y + 3)
Solve 1142/5*a - 2/15*a**2 - 3424/15 = 0 for a.
1, 1712
Let l(i) = 35*i**4 - 8160*i**3 - 8345*i**2 + 50*i - 150. Let q(z) = 2*z**4 - 480*z**3 - 491*z**2 + 3*z - 9. Let a(c) = -3*l(c) + 50*q(c). Factor a(m).
-5*m**2*(m - 97)*(m + 1)
Let s be ((-301)/8729)/((-11)/29). Factor -s*n**2 + 12/11*n - 36/11.
-(n - 6)**2/11
Let a = 173 + -149. Let b = -24 + a. Factor 2/7*x**3 + b*x + 0 + 2/7*x**2.
2*x**2*(x + 1)/7
Let t(y) = -64*y**2 + 844*y - 232. Let f(s) = 3*s**2 - 2*s. Suppose 52 = -4*r + m, 0 = 5*r + 5*m - 1 + 41. Let g(x) = r*f(x) - t(x). Factor g(q).
4*(q - 29)*(7*q - 2)
Let j be (-6216)/24 + 12/3. Let i = j - -260. Factor 2/7*y**2 + 2*y**4 + 6/7*y**i + 0*y + 10/7*y**3 + 0.
2*y**2*(y + 1)**2*(3*y + 1)/7
Let n be 15 - (2 + 7 - 1)/2. Let i be (-11 + n)*(-4)/((-24)/(-3)). Factor -1/2*o**5 + 0*o + 0*o**2 + i + 1/3*o**3 - 5/6*o**4.
-o**3*(o + 2)*(3*o - 1)/6
Suppose 55 = -5*b + q, -3*q + 28 = -2*b - 7. Let p be 35/b*-2 - (-10)/(-2). Factor 0*k + 1/3*k**p - 1/3.
(k - 1)*(k + 1)/3
Let p(j) = -j**3 + 13*j**2 - 25*j - 28. Let u be p(12). Let d = u + 373/2. Factor 0 - 10/3*h**2 + 5/6*h**3 + d*h.
5*h*(h - 3)*(h - 1)/6
Determine f, given that -14*f**3 - 10/7*f**5 + 8/7*f**2 + 76/7*f**4 + 0 + 24/7*f = 0.
-2/5, 0, 1, 6
Let x(g) be the first derivative of -12*g**2 + 4 - 1/5*g**3 + 0*g - 1/450*g**5 - 1/30*g**4. Let h(a) be the second derivative of x(a). Factor h(u).
-2*(u + 3)**2/15
Let b(p) = 10*p**2 + 1045*p + 1040. Let m(z) = 19*z**2 + 2091*z + 2081. Let f(a) = 9*b(a) - 5*m(a). Factor f(o).
-5*(o + 1)*(o + 209)
Let r(g) be the first derivative of 2*g**6/3 + 36*g**5/5 + 7*g**4 - 92*g**3 - 304*g**2 - 336*g - 3257. Solve r(j) = 0 for j.
-7, -2, -1, 3
Let o(k) be the first derivative of -2*k**3/3 + 57*k**2 - 112*k + 1272. Determine j, given that o(j) = 0.
1, 56
Let p(r) be the second derivative of 11*r**4/30 + 14*r**3/15 - 24*r**2 - 1188*r. Factor p(s).
2*(s + 4)*(11*s - 30)/5
Let q = -1465229 + 1465231. Solve -495*h - 5/2*h**q - 49005/2 = 0 for h.
-99
Let f(x) be the third derivative of 1/30*x**6 - 1/210*x**7 + 0*x**3 + 45*x**2 + 0*x**4 - 1/20*x**5 + 0 + 0*x. Solve f(m) = 0.
0, 1, 3
Suppose -98 - 1/2*x**3 - 53/2*x**2 - 100*x = 0. What is x?
-49, -2
Let g = 30547 - 153606/5. Let b = 175 + g. Let -16/5 + b*c**2 - 16/5*c + 4/5*c**3 = 0. What is c?
-2, -1, 2
Suppose 0 = 121*q - 64*q - 61*q - 4, 4*s = 2*q + 2. Determine o, given that 2/3*o**3 + 8/3*o**2 + 8/3*o + s = 0.
-2, 0
Determine i, given that 1120*i**2 - 8*i**4 - 387*i - 16*i**5 - 36 + 236*i**3 + 1411*i + 4*i**4 + 228 + 148*i**3 = 0.
-2, -1/4, 6
Let w(b) = b**3 - 16*b**2 - b - 4. Let a(i) = -7*i - 41. Let x be a(-6). Let q(h) = 3*h**2 + h + 1. Let f(s) = x*w(s) + 4*q(s). Suppose f(y) = 0. Calculate y.
0, 1, 3
Let m be 2/4*(16/(-6))/(7636/(-22410)). Suppose -6*t - 50/23*t**2 + 36/23 + m*t**3 + 54/23*t**4 + 8/23*t**5 = 0. Calculate t.
-3, -2, 1/4, 1
Suppose 3*d + 4*c - 22 = -0*d, -4*d + 4*c + 20 = 0. Suppose d*g + 3*g - 18 = 0. Factor -14 - 35 + 6*n**3 - 63*n + 0*n**g - 15*n**2 - 7*n**3.
-(n + 1)*(n + 7)**2
Determine p so that -291 - 1167/2*p + 9/8*p**4 - 303/4*p**2 + 1743/8*p**3 = 0.
-194, -1, -2/3, 2
Let 0 + 2/13*q**5 - 800/13*q - 80/13*q**2 + 798/13*q**3 + 80/13*q**4 = 0. What is q?
-20, -1, 0, 1
Suppose 4*s + f + 1 = 0, 4*s + 0*s = -3*f - 11. Let i be ((-30)/45*1)/(s/(-3)). Suppose -12 - 12*g**4 - 3/2*g**5 - 75/2*g**3 - 57*g**i - 42*g = 0. Calculate g.
-2, -1
Let b(c) be the second derivative of c**4/3 - 176*c**3/3 - 178*c**2 + 255*c + 7. What is d in b(d) = 0?
-1, 89
Find l such that 4/3*l**3 + 1916/3*l + 424 + 216*l**2 = 0.
-159, -2, -1
Let s = -24614/27 + 123178/135. Factor -s*z**2 + 176/5*z + 0.
-4*z*(z - 44)/5
Factor 3*r**3 + 3*r**3 + 19*r**2 + 50 + 18 - 143*r**2 + 166*r + 12*r**2.
2*(r - 17)*(r - 2)*(3*r + 1)
Factor -22162968 - 346585324*h - 669573*h**3 - 2986*h**4 - 2*h**5 - 818447*h**3 - 223363978 - 130172644*h - 15777978*h - 248494036*h**2.
-2*(h + 1)**2*(h + 497)**3
Solve -357/4*r**2 + 705/4*r - 351/4 + 3/4*r**3 = 0.
1, 117
Factor 2/7*a**5 + 40/7*a**2 + 8/7 - 20/7*a**3 - 30/7*a + 0*a**4.
2*(a - 1)**4*(a + 4)/7
Suppose 330667 = 5033*j - 295485 - 506273. Factor -69/4*x**2 + 3/4*x**3 + 120*x - j.
3*(x - 10)**2*(x - 3)/4
Let i(o) = -o**3 + 3*o**2 - 4*o. Let d(t) = -t**4 + 80*t**3 + 357*t**2 - 12*t. Let w(u) = d(u) - 3*i(u). Suppose w(j) = 0. Calculate j.
-4, 0, 87
Suppose 2/13*l**2 + 528/13 - 530/13*l = 0. Calculate l.
1, 264
Let z(y) = -47*y**2 + 72*y - 25. Suppose 2*p + 3 = 3*x, 2*x - 3*p = 5 + 2. Let h(g) = -g**2 - g. Let r(a) = x*z(a) - 2*h(a). Factor r(n).
(7*n - 5)**2
Let y(p) = p**3 - 1511*p**2 - 21*p + 7. Let n(r) = r**3 - 755*r**2 - 9*r + 3. Let k(s) = 7*n(s) - 3*y(s). Factor k(m).
4*m**2*(m - 188)
Let x(c) be the first derivative of -4/5*c**5 + 0*c**2 + 0*c - 1/8*c**6 + 162 + 7/6*c**3 + 37/16*c**4. Suppose x(f) = 0. Calculate f.
-7, -1/3, 0, 2
Let q(n) = -2*n**3 - 10*n**2 - 19*n - 12. Let r be q(-4). Factor r*y**2 + 693*y + 4*y**2 + 820 + 204 - 309*y + y**3.
(y + 4)*(y + 16)**2
Let m(n) be the third derivative of -n**6/1440 - n**5/160 - 3*n**3 - 11*n**2 + 7. Let k(x) be the first derivative of m(x). Determine l, given that k(l) = 0.
