872/11*k**3 - 2/11*k**4 - 6821938856322/11.
-2*(k - 1359)**4/11
Let m = 4212 + -4210. Let b(u) be the first derivative of 0*u + 9 + 0*u**m + 0*u**3 + 0*u**4 - 1/30*u**5. What is q in b(q) = 0?
0
Let u = 208 - 205. Suppose 15 = -3*w, u*m + 119*w = 121*w + 19. Solve -32*r**5 + 82/7*r**m - 38/7*r - 272/7*r**4 + 4/7 + 88/7*r**2 = 0 for r.
-1, 1/4, 2/7
Factor -72*p**2 + 0*p + 10*p**3 + 0 + 1/3*p**4.
p**2*(p - 6)*(p + 36)/3
Suppose w - 2*j = 145, 5*w - 934 = 2*j - 193. Find g such that -68*g - 8 + w*g - 2*g**2 - 71*g = 0.
1, 4
Let x(v) be the first derivative of 0*v**2 - 1/12*v**6 + 1/5*v**5 - 1/3*v**3 + 1/8*v**4 + 0*v - 93. Let x(a) = 0. What is a?
-1, 0, 1, 2
Let d(z) = -2934*z - 11732. Let a be d(-4). Factor -3/5*v**a + 0*v - 18/5*v**2 + 0 + 21/5*v**3.
-3*v**2*(v - 6)*(v - 1)/5
Let d(l) be the third derivative of -l**5/120 - 135*l**4/16 + 407*l**3/6 - l**2 - 21*l - 1. Factor d(s).
-(s - 2)*(s + 407)/2
Determine r, given that -2/7*r**2 + 0 - 34*r = 0.
-119, 0
Let x be (-6)/8*11/(-2)*(-808)/(-2222). Factor -x*p**2 - 135/2*p - 129.
-3*(p + 2)*(p + 43)/2
Let l(z) be the third derivative of z**7/70 - 27*z**6/40 + 54*z**5/5 - 54*z**4 + 1175*z**2. Factor l(m).
3*m*(m - 12)**2*(m - 3)
Let k(d) be the first derivative of -2/15*d**3 + 67 - 160*d + 8*d**2. Determine z, given that k(z) = 0.
20
Let i(u) be the second derivative of -10*u**3 + 39/4*u**5 + 2*u**6 - 5/6*u**7 - 40/3*u**4 + 48*u + 0*u**2 + 0. Find g, given that i(g) = 0.
-2, -2/7, 0, 1, 3
Let d(u) be the third derivative of -u**5/30 + 2*u**4/3 + 3*u**3 - 111*u**2 + 2*u + 9. Factor d(q).
-2*(q - 9)*(q + 1)
Let 26 + 6*y**2 + 12*y**2 + 13*y**2 - 30*y**2 + 15*y = 0. Calculate y.
-13, -2
Factor -9/4*w**4 + 110297*w - 332111/2*w**2 - 73441/4 + 1221*w**3.
-(w - 271)**2*(3*w - 1)**2/4
Let x = 10862/185 - 1573/37. Factor -x - 3/5*y**3 + 159/5*y - 15*y**2.
-3*(y - 1)**2*(y + 27)/5
Let h be (4/(-6))/(1/(-9)). Let o = -104479 + 104484. Factor h*u**o + 9*u**4 + 0 + 3/8*u - 9/4*u**2 + 3/8*u**3.
3*u*(u + 1)**2*(4*u - 1)**2/8
Let n(l) = 12*l**2 + 446*l + 448. Let f(w) = 2*w**2. Let t(x) = -14*f(x) + 2*n(x). Factor t(u).
-4*(u - 224)*(u + 1)
Let d(x) be the first derivative of x**6/39 - 8*x**5/65 + x**4/13 + 8*x**3/39 - 3*x**2/13 - 5354. Let d(u) = 0. Calculate u.
-1, 0, 1, 3
Suppose -r - 1882*g + 1880*g + 16 = 0, -4*r - 4*g + 36 = 0. Factor 0 + 52/3*j**r + 4/3*j**4 - 32/3*j**3 - 8*j.
4*j*(j - 6)*(j - 1)**2/3
Let i = -322 + 336. Let -14*s + 113*s**2 + s**3 - i*s + 32 - 109*s**2 = 0. Calculate s.
-8, 2
Factor 126 - 124/3*d**2 - 85*d + 1/3*d**3.
(d - 126)*(d - 1)*(d + 3)/3
Let r(b) = 4*b - 10. Let p be r(8). Suppose 2*l + 5*k - p = 3*k, -2*k = -6. Let l*v - 28*v**2 + 4*v**5 + 7*v**3 - 20*v**4 - 3*v**3 + 32*v**3 = 0. What is v?
0, 1, 2
Let b(x) = -x**4 + 370*x**3 + 521*x**2 + 153*x + 3. Let f(r) = 744*r**3 + 1044*r**2 + 305*r + 5. Let s(t) = 5*b(t) - 3*f(t). Determine q, given that s(q) = 0.
-75, -1, -2/5, 0
Let q(b) = -6339*b**2 + 3846*b - 597. Let h(c) = 1585*c**2 - 962*c + 149. Let t(d) = -9*h(d) - 2*q(d). Find z such that t(z) = 0.
7/23
Let m(c) be the first derivative of 5*c**6/6 + 18*c**5 - 355*c**4 + 1650*c**3 - 3625*c**2/2 + 4759. Find p such that m(p) = 0.
-29, 0, 1, 5
Let o(w) be the first derivative of w**4/2 - 44*w**3/3 + 111*w**2 - 180*w + 2276. Factor o(l).
2*(l - 15)*(l - 6)*(l - 1)
Let d be 30/4*(-184)/(-69). Let b(f) = -2*f + 1. Let a(i) = 5*i**3 - 35*i**2 + 60*i + 40. Let p(x) = d*b(x) + a(x). Factor p(c).
5*(c - 6)*(c - 2)*(c + 1)
Let l = -543 + 2249/4. Let z = 1241 - 4915/4. Factor 8*q**2 + z + q**3 + l*q.
(q + 1)*(2*q + 7)**2/4
Let l = -2/20785 - -4253/997680. Let c(p) be the third derivative of -l*p**5 - 9*p**2 + 0*p - 1/24*p**3 + 0 - 1/48*p**4. Factor c(y).
-(y + 1)**2/4
Factor -3798 - 228861 - 269794 - 114669 - 2664*o + 25714 - 3*o**2.
-3*(o + 444)**2
Let v(m) be the second derivative of -m**7/3780 - m**6/90 - m**5/9 - 21*m**4/4 - 48*m + 2. Let b(r) be the third derivative of v(r). Factor b(d).
-2*(d + 2)*(d + 10)/3
Let b = 437 + -400. Factor -17 - 4*z**4 + 61*z**3 - 3 - 72*z**2 + b*z - 29*z**3 + 27*z.
-4*(z - 5)*(z - 1)**3
Determine f, given that 872 + 2098 + 2965*f + 1774*f**2 - 1779*f**2 = 0.
-1, 594
Let r(c) be the first derivative of -1/2*c**4 - 211 + 0*c + 0*c**2 + 4/3*c**3. Factor r(s).
-2*s**2*(s - 2)
Factor 26*w**2 + 5*w**2 + 889*w**3 + 16*w**2 - 888*w**3.
w**2*(w + 47)
Let h = -146251/90 + 29279/18. Let 2/5*u**2 + 6/5 - h*u = 0. What is u?
1, 3
Let j be -10 - ((-2560)/184 + 4/(-46)). Let q(d) be the first derivative of -6/5*d**5 + 0*d + 0*d**2 - 4/3*d**3 + 1/6*d**6 - 23 + 9/4*d**j. Factor q(z).
z**2*(z - 4)*(z - 1)**2
Let v = 375711 + -375708. Find f, given that 0 + v*f**2 + 9/2*f + 1/2*f**3 = 0.
-3, 0
Let d = 171 - 168. Suppose 1880*f - 1163*f - 1440*f**2 + 1875*f + 368*f**d + 2*f**5 - 1728 - 44*f**4 = 0. What is f?
2, 6
Let n(y) be the second derivative of -y**5/90 + 193*y**4/54 + 2593*y. Factor n(r).
-2*r**2*(r - 193)/9
Let n(i) be the first derivative of i**4/10 - 26*i**3/15 - 16*i**2/5 + 56*i/5 - 749. Let n(r) = 0. What is r?
-2, 1, 14
Suppose -2*z + 9*v = 4*v - 8, z - 3*v - 4 = 0. Factor -28*q**3 - 4*q**z + 2*q - 6*q - 64*q**2 - 44*q.
-4*q*(q + 2)**2*(q + 3)
Suppose 20*n + 116 = -384. Let a be ((-12)/n)/((-7)/175*-15). Determine o so that 0 - a*o**3 + 0*o + 4/5*o**2 = 0.
0, 1
Let p = -1393 - -1425. Let z be p/40*10/4. Let -10/9*i**z + 4/9*i**3 + 8/9*i - 2/9 = 0. What is i?
1/2, 1
Let r(n) be the second derivative of n**6/90 + 251*n**5/60 + 331*n**4/12 + 1237*n**3/18 + 247*n**2/3 + 11*n + 308. Determine u, given that r(u) = 0.
-247, -2, -1
Let q(n) be the third derivative of n**8/1008 + 17*n**7/315 + 401*n**6/360 + 464*n**5/45 + 110*n**4/3 + 64*n**3 - 1315*n**2. Determine t, given that q(t) = 0.
-12, -8, -1
Suppose c - 3*b = 15, -16*c + b - 65 = -19*c. Determine g, given that -3*g**4 - 3*g**4 + 22*g**3 - 32*g**2 - 22*g**2 + g**4 - 4 + c*g**2 + 20*g = 0.
2/5, 1, 2
Let l be (40 + 1027/(-26))*18/(-1) + 13. Factor -20*b**4 - 9/5 - l*b**3 + 6/5*b + 59/5*b**2.
-(2*b - 1)**2*(5*b + 3)**2/5
Let v(c) = 4. Let n(l) = -1. Let i(a) = -9*n(a) - 2*v(a). Let p(m) = -1600*m**2 - 480*m - 32. Let z(r) = 4*i(r) - p(r). Determine s, given that z(s) = 0.
-3/20
Factor -468/5 - 2/5*h**2 + 94*h.
-2*(h - 234)*(h - 1)/5
Let y be 0/(-6 + 8) - (-1 + 1). Factor 0*r**2 - 153*r**3 + 303*r**3 + y*r**2 - 154*r**3.
-4*r**3
Factor 0 + 26/3*p**3 + 96*p + 1/3*p**4 + 64*p**2.
p*(p + 2)*(p + 12)**2/3
Let f(l) be the third derivative of -5/24*l**4 + 0 + 1/12*l**5 - 5*l**2 + 0*l**3 + 0*l. Factor f(d).
5*d*(d - 1)
Let l(t) = t**3 - t**2 + 3. Let r(o) = -3*o**3 - 255*o**2 - 1262*o - 285. Let x(m) = -5*l(m) + r(m). Factor x(w).
-2*(w + 6)*(w + 25)*(4*w + 1)
Let a(f) be the first derivative of f**6/27 + 46*f**5/45 + 115*f**4/18 - 178*f**3/9 - 88*f**2 - 96*f - 1611. Find o such that a(o) = 0.
-12, -1, 3
Find n such that 64/3*n**4 + 112444804/3*n**2 - 56544*n**3 + 7022500/3 - 18730200*n = 0.
1/4, 1325
Let r be (-7 - (-7 - -4))/((-1)/2). Suppose -8 = r*b - 24. Determine m so that -2*m**2 + 9 + 6*m + 11*m**2 - 3*m**2 - 5*m**b = 0.
-3
Let c(g) be the third derivative of -g**8/56 + 17*g**7/105 + 113*g**6/60 - 217*g**5/30 + 15*g**4/2 - 3*g**2 - 390. Let c(w) = 0. Calculate w.
-5, 0, 2/3, 1, 9
Let m(a) = -4*a**2 - 226*a - 3134. Let y(b) = 20*b**2 + 1131*b + 15669. Let d be (-6*2)/1 + 1. Let t(f) = d*m(f) - 2*y(f). Let t(z) = 0. Calculate z.
-28
Factor 18 - 72*r + 51*r**4 - 36*r**4 - 260*r**2 + 3*r - 63*r**3 + 359*r**2.
3*(r - 1)**3*(5*r - 6)
Factor 9*r**2 - 114 + 42 - 115*r**3 - 66*r - 120*r**3 + 238*r**3.
3*(r - 4)*(r + 1)*(r + 6)
Let l be (48 - 75)/((-1)/(84/9)). Let f = -250 + l. What is b in 0 + 0*b - 3/2*b**f + 7/4*b**3 + 3/4*b**4 = 0?
-3, 0, 2/3
Let p(n) be the second derivative of 5*n**4/12 - 2845*n**3/6 + 738*n. Determine h so that p(h) = 0.
0, 569
Let d = 76 - 72. Find w such that -38*w**4 - 215*w**3 - 21*w**d + 10 + 15*w - 10*w**2 - 46*w**4 - 95*w**2 = 0.
-1, -1/3, 2/7
Let t(y) be the second derivative of 0*y**2 + 1/10*y**5 - 1/2*y**3 + 1/3*y**4 - 2*y - 4 + 1/42*y**7 - 2/15*y**6. Factor t(i).
i*(i - 3)*(i - 1)**2*(i + 1)
Let p = 244823/23460 - 240/23. Let v(f) be the third derivative of -1/102*f**4 + p*f**6 + 0 + 0*f + 1/510*f**5 + 11*f**2 + 0*f**3. Solve v(c) = 0.
-2, 0, 1
Suppose 0 = w - 0*k + 5*k - 2, w = k + 2. F