. Factor z(v).
4*(v - 47)*(v - 1)**2
Let i(h) be the second derivative of -49/10*h**6 - 26*h**3 - 2 + 98*h - 141/4*h**4 + 273/10*h**5 - 6*h**2. Factor i(k).
-3*(k - 2)**2*(7*k + 1)**2
Suppose -25*k - 25 = -r - 20*k, -4*k = r + 20. Suppose r = 2*h + 2, -110 + 132 = 5*x - 2*h. Determine f, given that -f**3 + 1/3*f**4 + x*f - 2/3*f**2 - 8/3 = 0.
-2, 1, 2
Find q, given that 318/5*q - 316/5*q**2 + 0 - 2/5*q**3 = 0.
-159, 0, 1
Let a(f) be the second derivative of 0*f**2 + 0*f**3 + 0 + 1/4*f**4 + 1/50*f**6 - 235*f + 9/50*f**5. Determine c so that a(c) = 0.
-5, -1, 0
Let u be (-30188)/(-90) + 6/(-27) - 40/(-50). Suppose 3*b - 676 = -109. Factor -1 + b*z**2 + 29*z + 343*z**3 - u*z**2 - 8*z.
(7*z - 1)**3
Suppose 418 - 518 = -25*b. Let x(r) be the third derivative of 0*r - 1/180*r**6 + 0*r**3 + 0 - 10*r**2 + 1/45*r**5 + 0*r**b. Find a, given that x(a) = 0.
0, 2
Let h(k) be the first derivative of -1/20*k**5 + 1/2*k**2 - 5/4*k - 134 + 1/2*k**3 - 1/4*k**4. Factor h(g).
-(g - 1)**2*(g + 1)*(g + 5)/4
Let r(g) be the second derivative of 64/3*g**3 + 8/5*g**5 + 0 - 32*g**2 + 43*g - 2/15*g**6 - 8*g**4. Factor r(y).
-4*(y - 2)**4
Let n = 113034 + -791222/7. Suppose -18/7*u + 2/7*u**2 + n = 0. What is u?
1, 8
Let z(w) = -7*w**2 + 20*w - 55. Let h = -6 - -12. Let b(g) = -4*g**2 + 2*g - 4 + 11*g - 30 + 6 - 3*g. Let i(p) = h*z(p) - 10*b(p). What is u in i(u) = 0?
5
Solve -80*l**3 + 7*l**2 - 1456*l**4 + 212*l**3 + 1448*l**4 + 5*l**2 - 16*l - 32*l**5 + 20*l**2 = 0.
-2, -1/2, 0, 1/4, 2
Suppose -6602966 + 8426044 - 10882*g + 2*g**2 + 10576189 + g**2 - 1316*g = 0. What is g?
2033
Let q(b) be the third derivative of 1/12*b**4 + 16*b**2 + 1/30*b**5 + b - 1/60*b**6 + 0 - 1/3*b**3. Factor q(n).
-2*(n - 1)**2*(n + 1)
Let d(a) be the first derivative of a**6/2340 - 2*a**5/195 - 11*a**4/52 - 18*a**3 + a**2 - 43. Let v(g) be the third derivative of d(g). Factor v(u).
2*(u - 11)*(u + 3)/13
Let s(b) be the third derivative of -69*b**2 - 2/105*b**7 - 2/3*b**3 + 0*b - 2/5*b**5 - 2/3*b**4 + 0 - 2/15*b**6. Let s(j) = 0. What is j?
-1
Factor 11521*i + 25*i**2 - 23041*i + 11530*i + 5*i**4 + 20*i**3.
5*i*(i + 1)**2*(i + 2)
Let g(l) = -l**2 + 490*l - 43262. Let y(h) = 4*h**2 - 1997*h + 173047. Let k(t) = -18*g(t) - 4*y(t). Factor k(n).
2*(n - 208)**2
Solve 0 - 1/10*y**5 - 3/10*y**4 + 63/10*y**3 + 45*y + 71/2*y**2 = 0.
-5, -2, 0, 9
Let g(w) be the second derivative of -2*w**6/15 - 8*w**5/5 + w**4 + 44*w**3/3 - 32*w**2 - 3179*w. Factor g(u).
-4*(u - 1)**2*(u + 2)*(u + 8)
What is x in 0 - 2/5*x**5 - 4/5*x**4 + 8*x**2 + 0*x + 38/5*x**3 = 0?
-5, -1, 0, 4
Suppose -z + 24 - 4 = 0. Suppose -10 = 15*n - z*n. Factor -147*b**n + 142*b**2 - 5*b + 5*b**3 - 2 + 7.
5*(b - 1)**2*(b + 1)
Let h(n) be the first derivative of 5*n**4/16 + 30*n**3 + 345*n**2/2 + 340*n + 373. Find p, given that h(p) = 0.
-68, -2
Let h be 45097/20814*(-45)/(-26). Determine j so that 3 - h*j**4 + 57/4*j**2 - 18*j + 81/2*j**3 - 9*j**5 = 0.
-2, -1, 1/4, 1/3, 2
Let c = -1932877/13 - -148683. Let 0 - c*r**4 + 10/13*r**2 + 6/13*r + 2/13*r**3 = 0. Calculate r.
-1, 0, 3
Let k be ((-176)/(-24) - 8)*(-45)/10. Suppose -4/3*g - 2/3*g**4 + 2/3 + 0*g**2 + 4/3*g**k = 0. Calculate g.
-1, 1
Let y(a) = a**2 - 10. Let j be y(-2). Let f be 0/((0/4)/j - 2). Determine d so that 2/7*d**2 + f - 2/7*d = 0.
0, 1
Let r(n) be the second derivative of n**6/120 - 13*n**5/80 + 29*n**4/48 + 13*n**3/24 - 15*n**2/4 + 1104*n. Find h, given that r(h) = 0.
-1, 1, 3, 10
Let h(c) be the first derivative of -2/85*c**5 + 0*c + 2/51*c**3 + 7/34*c**4 - 7/17*c**2 - 51. Determine w, given that h(w) = 0.
-1, 0, 1, 7
Suppose -38 = 8*z - 126. Let d = 15 - z. Determine h so that h**3 + h**d + h**4 + 16*h**2 - 5*h**3 - 6*h**4 + 16*h = 0.
-2, -1, 0, 2
Let f(u) be the third derivative of -u**5/15 + 211*u**4/4 - 133563*u**3/8 + 8583*u**2. Factor f(q).
-(4*q - 633)**2/4
Find d such that -32/3 - 12*d**2 - 22*d - 2/3*d**3 = 0.
-16, -1
Let h(f) be the first derivative of 2*f**3/3 + 34*f**2 + 528*f - 552. Find w, given that h(w) = 0.
-22, -12
Suppose 2*w + 2*g = 43 - 17, 4*g = w - 8. Let j + 2*j**2 - w*j + 2 + 4*j + 3*j = 0. What is j?
1
Suppose 888/7*k**2 - 354/7*k**3 - 45/7*k**4 + 0 + 0*k = 0. Calculate k.
-148/15, 0, 2
Let r be 7/(-49) - 1*(-36)/7. Suppose -r*q + 3 = 2*u + u, -8 = 4*q + 5*u. Factor 18*j**4 + 14*j**5 + 6*j**3 - 19*j**3 + 6*j**q + 11*j**3.
2*j**3*(j + 1)*(7*j + 2)
Let i(h) = 67*h**2 - 120*h - 369. Let x(p) = -167*p**2 + 240*p + 738. Let d(u) = -15*i(u) - 6*x(u). Factor d(a).
-3*(a - 123)*(a + 3)
Suppose 0 = -92*m - 133*m + 111*m - 177*m. Let r = -28/15 + 34/15. Determine x, given that r*x + 2/5*x**3 - 4/5*x**2 + m = 0.
0, 1
Let p(i) be the second derivative of i**5/25 + 539*i**4/15 + 9648*i**3 - 29160*i**2 + 7163*i. Factor p(t).
4*(t - 1)*(t + 270)**2/5
Factor 335*c + c**2 + 5*c**2 - 10*c**2 + 9*c**2 + 320*c.
5*c*(c + 131)
Let f(n) be the third derivative of n**7/1960 - n**5/280 - 137*n**3/6 + 149*n**2 - 2. Let x(r) be the first derivative of f(r). Factor x(q).
3*q*(q - 1)*(q + 1)/7
Let f(c) = -c**2 - 10*c - 5. Let w be f(-4). Let 11*a - 21 + w*a - 22*a**2 + 13 = 0. Calculate a.
4/11, 1
Let b(v) be the first derivative of -11 + 1/4*v**4 - 1/4*v + 3/4*v**2 - 3/4*v**3. Let b(d) = 0. Calculate d.
1/4, 1
Let l be 178/(-126) - (-1470)/945. Let v(t) be the first derivative of 8/7*t**3 + 32/7*t + 24/7*t**2 - 3 + l*t**4. Factor v(g).
4*(g + 2)**3/7
Let j be (-60)/(-75) - 35/(-50). Suppose -g**2 + j - 2*g - 1/2*g**4 + 2*g**3 = 0. Calculate g.
-1, 1, 3
Let f be (-3)/(-5)*(-5 - (-150)/18). What is l in -3*l**2 - 14*l + 30*l**4 - 14*l**4 - 2*l**f - 4 - 7*l**2 + 6*l**5 + 8*l**3 = 0?
-1, -2/3, 1
Suppose 251*j - 128 = 255*j. Let x be (-6)/(-15)*(-120)/j*8. Factor 216*n**2 + 72*n**3 + 4/5*n**5 + x*n**4 + 324*n + 972/5.
4*(n + 3)**5/5
Suppose -9*m = -2*m - 21. Suppose -3*c + m*j + 1 = 2*j, 0 = j - 5. Suppose 0*l**2 - l**2 + l + 3*l**5 + c*l**3 - 4*l**4 + 5*l**2 - 6*l**5 = 0. What is l?
-1, -1/3, 0, 1
Let m be 0 - ((-6)/(-2) - 16). Suppose -m*z + 14*z = 4. Solve -6*t**2 + t**2 + 4*t**2 - t**z + 2*t**4 = 0.
-1, 0, 1
Factor 42861 - 202*x - 766*x - 5*x**2 + 12*x**2 - 159989 - 9*x**2.
-2*(x + 242)**2
Let b(q) be the third derivative of 1/75*q**5 - 6*q + 3/70*q**7 + 10*q**2 - 1/25*q**6 + 0*q**4 + 0 - 5/336*q**8 + 0*q**3. Factor b(z).
-z**2*(z - 1)*(5*z - 2)**2/5
Let l(b) = -15*b**3 - 320*b**2 + 115*b + 5. Let c(k) = -21*k**3 - 480*k**2 + 173*k + 8. Let t(g) = -5*c(g) + 8*l(g). Factor t(p).
-5*p*(p + 11)*(3*p - 1)
Let a(l) be the second derivative of -l**4/36 + 112*l**3/3 - 18816*l**2 - 1942*l. Factor a(h).
-(h - 336)**2/3
Let m(p) be the first derivative of -p**3/18 - 2291*p**2/6 - 5248681*p/6 + 4596. Factor m(w).
-(w + 2291)**2/6
Suppose -4*y - 2 = 5*f - 3, 7 = 3*f - 4*y. Suppose -637*a - f = -638*a. Determine q, given that 3/2*q - a - 1/2*q**2 = 0.
1, 2
Let r(o) = -81*o**2 - 2688*o - 6. Let v(x) = 94*x**2 + 2690*x + 7. Let j(i) = -7*r(i) - 6*v(i). Find h such that j(h) = 0.
-892, 0
Let s = 95880 + -191585/2. Factor s + 45/2*q - 3/2*q**2 - 1/2*q**3.
-(q - 7)*(q + 5)**2/2
Let r(g) = -2*g - 37. Let a be r(13). Let c = a - -67. Let -16*n**2 - 5*n**3 + 10*n**4 + c*n**5 - 2*n**4 + 16*n - 7*n**3 = 0. What is n?
-2, 0, 1
Let h(w) = -w**3 - 12*w**2 + 2*w - 14. Let a be h(-10). Let u be 65/a + (-5)/(-10). Factor -2/9*m**2 + 0 + u*m.
-2*m*(m - 1)/9
Let p = -39559 - -39562. Suppose -2/13*k**5 + 6/13*k**2 - 6/13*k**4 + 0 + 4/13*k - 2/13*k**p = 0. What is k?
-2, -1, 0, 1
Suppose -6*h = 10 - 46. Suppose 4*o = 14 + h. Factor o*x**3 + 458 - 458 - 5*x.
5*x*(x - 1)*(x + 1)
Let q(i) be the second derivative of -i**6/210 - 43*i**5/140 + 34*i**4/21 - 46*i**3/21 - 1590*i. Solve q(g) = 0.
-46, 0, 1, 2
Let i(d) be the third derivative of -11*d**7/210 - 9*d**6/40 + 3*d**5/10 + 2*d**2 - 1810. Solve i(a) = 0.
-3, 0, 6/11
Let q(z) be the first derivative of -3/4*z**4 + 27/2*z**2 - 80 - 42*z + 6*z**3. Find m such that q(m) = 0.
-2, 1, 7
Solve 1500 + 65/3*d**2 + 400*d + 1/3*d**3 = 0 for d.
-30, -5
Let l(y) be the first derivative of -14*y**5/5 + 71*y**4 + 1222*y**3/3 + 318*y**2 - 288*y + 2679. Let l(z) = 0. Calculate z.
-3, -1, 2/7, 24
Factor -29/5 + 28/5*c + 1/5*c**2.
(c - 1)*(c + 29)/5
Let d(b) = -23*b**2 + 228*b - 1753. Let s(r) = 845*r**2 - 8435*r + 64860. Let q(x) = -110*d(x) - 3*s(x). Find u, given that q(u)