3*p + 15 = 0. Factor 22/7*d**2 - 2/7*d**u + 0 - 20/7*d.
-2*d*(d - 10)*(d - 1)/7
Let n(a) be the second derivative of -a**4/48 - 25*a**3/24 + 27*a**2/4 + 1702*a. Determine o, given that n(o) = 0.
-27, 2
Solve -389186*v**5 + 35*v**2 - 20 + 5*v**3 + 7*v + 389181*v**5 - 15*v**4 - 7*v = 0 for v.
-2, -1, 1
Let k(f) be the first derivative of -f**5/30 - 2*f**4/9 + 4*f**3/9 + 16*f**2/3 - 49*f - 29. Let s(b) be the first derivative of k(b). Factor s(t).
-2*(t - 2)*(t + 2)*(t + 4)/3
Let r be -60 - (-63 + (-875)/(-315)). Factor -14/9*i - r*i**2 - 20/9.
-2*(i + 2)*(i + 5)/9
Let u = -193 + 197. Factor 16*h**2 + 31 + h**5 + u*h**3 - 9 - 32*h - 6 + h**4 - 6*h**4.
(h - 2)**3*(h - 1)*(h + 2)
Suppose 5*r - 41 = -4*v - 13, 4*v - 12 = -r. Suppose k + 3*w - 2 = 5*w, -k = -r*w. Factor 12*h + 8*h**3 - 10 - 4*h**k - 6 - 28*h - 6*h**2 + 18*h**2.
-4*(h - 2)**2*(h + 1)**2
Determine s, given that 191/5*s - 1/5*s**2 + 156 = 0.
-4, 195
Let i(a) = -1. Let u(t) = t + 3. Let h(s) = -6*i(s) - u(s). Let c be h(-2). Suppose 3*q + 2*q - q**2 - c*q = 0. Calculate q.
0
Suppose -3*l - 17*b = -21*b - 2, -l - 4*b + 6 = 0. Let i be (13/(-4) + l)/((-105)/6930). Let -25/2*m**2 + 35 + i*m = 0. Calculate m.
-2/5, 7
Suppose 5*h + 2*k = -3*k + 115, -4*k = -h + 8. Factor -h*b - 140 + 599*b**2 + 5*b**3 + 572*b**2 - 1136*b**2.
5*(b - 2)*(b + 2)*(b + 7)
Let k = -1 - -10. Suppose -2*j + k*j - 35 = 0. What is y in -4*y**2 - 51*y**3 + 12 + 48*y**3 - j*y**2 = 0?
-2, 1
Factor -112/9*h**2 + 104/3 + 4/9*h**3 + 196/9*h.
4*(h - 26)*(h - 3)*(h + 1)/9
Let n be (10/4)/((-61)/366). Let l be n/(-4) - 52/(-208). Factor 8/7 - 2/7*v**5 + 50/7*v**2 - 38/7*v**3 - 32/7*v + 2*v**l.
-2*(v - 2)**2*(v - 1)**3/7
Let m(q) = -10*q**2 + 36*q + 8. Let j be m(4). Let i be 5 - (j + 11)*(-10)/(-6). Suppose i*p + 1/2*p**2 - 1/2*p**4 + 0 - 1/4*p**5 + 1/4*p**3 = 0. Calculate p.
-2, -1, 0, 1
Suppose -3570 - 768 = -1446*l. Factor 18/5*t - 14/5*t**2 - 1/10*t**4 - 8/5 + 9/10*t**l.
-(t - 4)*(t - 2)**2*(t - 1)/10
Let h(k) be the first derivative of -k**4/78 + 5*k**3/13 - 2*k**2 - 73*k - 32. Let l(q) be the first derivative of h(q). Factor l(w).
-2*(w - 13)*(w - 2)/13
Let -85/3*t - 5/3*t**2 + 140 = 0. What is t?
-21, 4
Let q(g) = -48*g**2 + 670*g + 31. Let a be q(14). Factor 0*d**2 + 32/5*d - 2/5*d**a + 0.
-2*d*(d - 4)*(d + 4)/5
Suppose u - 41*u - 228*u**3 + 36*u**2 + 232*u**3 = 0. What is u?
-10, 0, 1
Let n(a) be the first derivative of -5*a**3 + 11905*a**2/2 + 3970*a - 7853. Let n(g) = 0. Calculate g.
-1/3, 794
Let h(i) be the second derivative of -i**5/130 + i**4/78 + 2*i**3/39 - 135*i - 5. Factor h(u).
-2*u*(u - 2)*(u + 1)/13
Let h(b) = -b**2 + 9*b - 38. Let k be h(-17). Let s be 8/6*(-216)/k. Factor 6/5*t + s*t**2 + 0.
3*t*(t + 2)/5
Suppose 0 = 3*p - 84 + 12. Find b such that p*b**4 + 16*b**2 - 28*b**4 - 8*b - 4*b**2 = 0.
-2, 0, 1
Let m be (-424)/(-40) + -10 + 1/((-15)/7). Factor 578/15 + m*v**2 - 68/15*v.
2*(v - 17)**2/15
Suppose 0 = 3*c + 34*c - 74. Let o(r) be the second derivative of -31*r + 0 + 0*r**c - 1/4*r**5 - 5/6*r**3 - 5/6*r**4. Factor o(y).
-5*y*(y + 1)**2
Let m be 6*2/(-6) + 603. Let s = m + -1201/2. Solve -1/2*j**3 - 4 - s*j**4 + 2*j + 3*j**2 = 0 for j.
-2, 1, 2
Let j(k) = 3*k**2 - 77*k + 77. Let q be j(1). Let w(u) be the second derivative of 0*u**2 - 1/30*u**q + 0 + 1/120*u**4 - 16*u. Determine t so that w(t) = 0.
0, 2
Let k be ((1746/12)/((-10)/(-4)))/((-255)/(-20) - 12). Determine l, given that -2/5*l**5 + 252/5*l**3 + 262/5*l - k*l**2 - 58/5*l**4 - 66/5 = 0.
-33, 1
Let n(u) be the second derivative of u**7/42 - u**6/5 + u**5/4 + 2*u + 67. Factor n(g).
g**3*(g - 5)*(g - 1)
Factor 0*w + 276/5*w**2 + 279/5*w**3 + 0 + 3/5*w**4.
3*w**2*(w + 1)*(w + 92)/5
Suppose -2*z + 12 = 3*k, z - 3 = -3*k + 3. Let h be 5 + (-5 - (6 - 36/z)). Factor 4/5*w + h - 4/5*w**2.
-4*w*(w - 1)/5
Factor -58223*n - 755 - 4144*n**2 + 1131519*n + 4*n**3 + 755.
4*n*(n - 518)**2
Let a(g) be the second derivative of -g**4/60 - 7*g**3/30 + 39*g**2/5 + 1308*g. Solve a(o) = 0.
-13, 6
Let p be (-470)/115 + (-10)/(-115). Let z be ((-6)/p)/(((-14)/4)/(-7)). Factor -1/5*u**4 + 0 + 0*u - 2/5*u**2 - 3/5*u**z.
-u**2*(u + 1)*(u + 2)/5
Let n(r) = 9*r**5 + r**2 + r. Let o(h) = 28*h**5 + 12*h**4 - 2*h**3 - 21*h**2 + 4*h + 12. Let u(t) = -3*n(t) + o(t). Determine y, given that u(y) = 0.
-12, -1, 1
Let t(w) be the third derivative of -w**8/10080 - w**7/252 - w**6/40 + 16*w**5/15 + 14*w**2. Let d(u) be the third derivative of t(u). What is j in d(j) = 0?
-9, -1
Solve 0 + 17/5*r**3 + 0*r - 2/5*r**5 - 2*r**2 + 7/5*r**4 = 0.
-2, 0, 1/2, 5
Let t = -40757/865 - -8186/173. Suppose -t*x + 0 + 1/5*x**2 = 0. Calculate x.
0, 1
Let a be 66/(-594) - (-19)/9. Find s such that 19*s - 2*s**3 + 10*s**2 - 27*s + 2 - a = 0.
0, 1, 4
Let s(c) be the second derivative of c**4/90 + 343*c**3/45 + 114*c**2/5 + 815*c + 1. Solve s(r) = 0 for r.
-342, -1
Let r be (17/(-85))/(-31 - -30). Solve -1/5*j**2 - r*j**3 + 1/5*j + 0 + 1/5*j**4 = 0.
-1, 0, 1
Let x(j) be the first derivative of -96000*j**2 + 1920000*j + 110 + 3/20*j**5 + 2400*j**3 - 30*j**4. Factor x(m).
3*(m - 40)**4/4
Let n(q) be the third derivative of -24*q**5 - 35*q**2 + 0 - 54*q**4 + 0*q**3 - 2/105*q**7 + 0*q - 37/30*q**6. Factor n(o).
-4*o*(o + 1)*(o + 18)**2
Let z(i) be the third derivative of 13*i**5/15 - 101*i**4/6 - 76*i**3 - 10*i**2 - 13. Solve z(l) = 0.
-1, 114/13
Let r be 38/14 + (12 - ((-1309)/(-49) + -14)). Suppose -6 + 3 = -x. Factor -x + 3/8*c**r - 3/4*c.
3*(c - 4)*(c + 2)/8
Factor -22496/5*c - 1/5*c**3 - 302/5*c**2 + 46208/5.
-(c - 2)*(c + 152)**2/5
Let q(w) = w**4 + w - 1. Let s(p) = 2*p**3 + 2*p**4 + p**5 + 0*p**3 - 7*p**3 - 3 - 3*p**2 + 3*p. Let c = 14 + -9. Let u(o) = c*s(o) - 15*q(o). Factor u(d).
5*d**2*(d - 3)*(d + 1)**2
Let w(h) be the first derivative of -1/3*h**3 + 0*h - 3*h**2 - 25 + 1/4*h**4. Let w(s) = 0. What is s?
-2, 0, 3
Let a(f) = 12*f - 12. Let v be a(12). Find l such that l + v*l**2 + 178 - 178 + 7*l = 0.
-2/33, 0
Let 3*i**4 + 804*i**2 + 53*i - 313667 - 51*i**4 + 313639 + 614*i**3 + 61*i = 0. What is i?
-1, -1/3, 1/8, 14
Let p(n) be the first derivative of -n**5/160 + 3*n**4/32 - 5*n**3/16 - 46*n**2 + 79. Let f(d) be the second derivative of p(d). Solve f(r) = 0 for r.
1, 5
Let y = -6732 + 1413721/210. Let u(t) be the third derivative of 0*t**4 + 0 - 1/30*t**5 + 17*t**2 + 0*t**3 + 0*t - 1/40*t**6 - y*t**7. Factor u(d).
-d**2*(d + 1)*(d + 2)
Let v be (-312)/(-48) + 2/(-4). Let -4*y + 31*y - 72 + v*y + 3*y**2 - 6*y**2 = 0. Calculate y.
3, 8
Let a(i) be the second derivative of i**5/210 + 41*i**4/84 - 181*i**2/2 - 92*i. Let s(b) be the first derivative of a(b). What is z in s(z) = 0?
-41, 0
Let k(t) be the first derivative of 5*t**4/12 + 5*t**3/2 - 10*t**2 - 192*t + 263. Let h(z) be the first derivative of k(z). Factor h(a).
5*(a - 1)*(a + 4)
Let o be (378/(-12))/(24/(-16)). Let p(t) be the first derivative of 1/5*t**5 - o + 5/3*t**3 - t**2 + 0*t - t**4. Let p(s) = 0. What is s?
0, 1, 2
Suppose -85*k + 0*k = 23*k + 15*k. Suppose -7/5*u**3 - 1/5*u**4 + k - 9/5*u - 3*u**2 = 0. What is u?
-3, -1, 0
Let n(b) be the first derivative of -210681*b**4 - 1968804*b**3 - 25712*b**2 - 112*b + 3939. Solve n(z) = 0.
-7, -2/459
Let i(v) be the third derivative of v**5/300 + v**4/5 + 23*v**3/30 - 170*v**2 + 3*v. Factor i(d).
(d + 1)*(d + 23)/5
Let x(l) be the third derivative of 0 + 0*l + 111*l**2 + 1/2*l**4 - 1/30*l**6 - 12*l**3 + 4/15*l**5. Let x(f) = 0. Calculate f.
-2, 3
Factor -3*q**2 - 2852*q + 6*q**2 + 2957*q - 283 - 185.
3*(q - 4)*(q + 39)
Let y = 280 - 265. Factor -30*s + 117*s**2 - 10*s**2 + 22*s**2 + 42*s**3 - y*s**3.
3*s*(s + 5)*(9*s - 2)
Let v(s) be the second derivative of -s**6/10 + 3*s**5/4 + s**4/4 - 17*s**3/2 - 18*s**2 + 1383*s. Determine z, given that v(z) = 0.
-1, 3, 4
Let p(y) be the first derivative of 4/9*y**2 + 0*y + 2/27*y**3 + 102. Factor p(w).
2*w*(w + 4)/9
Let c(k) be the second derivative of k**5/10 + 130*k**4/3 + 259*k**3/3 + 7048*k. Determine o, given that c(o) = 0.
-259, -1, 0
Let s(u) = -2131*u + 29837. Let f be s(14). Solve 24*k**f + 108/11*k - 450/11*k**2 - 42/11*k**4 + 0 = 0.
0, 2/7, 3
Let u(k) be the third derivative of -30*k**2 + 2/57*k**4 + 0 + 4/57*k**3 - 1/665*k**7 + 0*k - 2/285*k**6 - 1/570*k**5. Suppose u(n) = 0. Calculate n.
-2, -1, -2/3, 1
Let r = -1527 + 2516. Let p =