. Let -16*q**3 - 4/3*q**4 - 208/3*q - a*q**2 - 28 = 0. Calculate q.
-7, -3, -1
Let v(d) be the first derivative of d**4/18 + 10*d**3/27 - 92*d**2/9 + 104*d/3 - 7456. Find g, given that v(g) = 0.
-13, 2, 6
Suppose 177*u = -121*u + 57*u. Let n(z) be the first derivative of -1/3*z + 1/6*z**4 + 1/3*z**3 - 3 + u*z**2. Let n(v) = 0. What is v?
-1, 1/2
Let d(c) = -c**3 - 6*c**2 + 7*c - 8. Let t be d(-7). Let i = t - -17. Factor 9*y**3 + 3*y**4 - y + y + i*y**2 + 3*y.
3*y*(y + 1)**3
Let g(w) be the second derivative of -w**7/56 - w**6/40 + 27*w**5/80 + w**4/16 - 5*w**3/2 + 9*w**2/2 - 446*w. Determine n, given that g(n) = 0.
-3, -2, 1, 2
Let h(z) be the first derivative of 0*z**2 - 1/7*z**3 + 2/21*z**4 + 29*z - 1/70*z**5 - 6. Let c(g) be the first derivative of h(g). Factor c(r).
-2*r*(r - 3)*(r - 1)/7
Suppose 33*t + 21*t - 162 = 0. Let b(r) be the first derivative of -8 - 1/6*r**2 - 1/9*r**t + 0*r. Factor b(j).
-j*(j + 1)/3
Let p(b) be the third derivative of -b**6/660 + 17*b**5/165 - 19*b**4/12 - 1444*b**3/33 + 1070*b**2. Factor p(f).
-2*(f - 19)**2*(f + 4)/11
Let m(j) = -j**5 + j**4 - j**3 - 9*j**2 + j. Let p(u) = 12*u**5 - 33*u**4 - 24*u**3 + 139*u**2 - 77*u - 8. Let a(r) = 2*m(r) + 2*p(r). Let a(k) = 0. What is k?
-2, -1/11, 1, 2
Let p(h) be the second derivative of -h**6/30 + 11*h**5/20 - 13*h**4/4 + 49*h**3/6 - 10*h**2 + 19*h + 3. Find j such that p(j) = 0.
1, 4, 5
Let h = 30495 - 30493. Let q(m) be the third derivative of 0*m + 0*m**4 - 20*m**h + 0*m**3 + 1/120*m**5 + 0. Factor q(c).
c**2/2
Factor 2/9*o**2 + 0 - 124/3*o.
2*o*(o - 186)/9
Let 84 - 9*y + 1/6*y**2 = 0. Calculate y.
12, 42
Let r(l) be the second derivative of -7*l**6/3600 + l**5/600 - l**3/6 + 110*l. Let v(p) be the second derivative of r(p). Factor v(g).
-g*(7*g - 2)/10
Let z(h) = -h**3 - 17*h**2 - 18*h - 28. Let d be z(-16). Suppose 12*l - 16*l + 9 = 3*w, 34 = d*l - 2*w. Factor -l*t - 3/7*t**3 + 24/7 + 3*t**2.
-3*(t - 4)*(t - 2)*(t - 1)/7
Let c(v) be the second derivative of 50*v**7/21 + 23*v**6/6 - 807*v**5/2 - 3105*v**4/4 - 405*v**3 + 3*v + 824. Determine u so that c(u) = 0.
-9, -3/4, -2/5, 0, 9
Let u = 2349 + -2313. Suppose 118 = 23*p + u*p. Factor 0*x - 1/4 + 1/4*x**p.
(x - 1)*(x + 1)/4
Let x = 147 + -143. Let c be x/(-4 + 9/2). Factor -5*h + c*h**3 + 14*h**3 - 27*h**3 - 10*h**2.
-5*h*(h + 1)**2
Let o(n) be the second derivative of n**6/240 - 3*n**5/10 + 9*n**4 - 144*n**3 - 3*n**2/2 + 2*n + 6. Let x(u) be the first derivative of o(u). Factor x(w).
(w - 12)**3/2
Let y(x) be the first derivative of -x**4/2 - 1478*x**3 - 1229880*x**2 - 2455328*x - 7339. Factor y(v).
-2*(v + 1)*(v + 1108)**2
Suppose -5*x = 18*l - 22*l + 133, -3*x - 3 = 0. Factor 18*v**3 - 22*v**3 + 24*v**2 - l*v - 48 + 12*v.
-4*(v - 4)*(v - 3)*(v + 1)
Let m(p) = 3*p**5 + 3*p**4 - 12*p**2 - 6. Let y(w) = -w**4 - w**3 - 2*w**2 - 1. Let l(o) = -m(o) + 6*y(o). Factor l(c).
-3*c**3*(c + 1)*(c + 2)
Let n(t) be the first derivative of t**4 - 88*t**3 + 1554*t**2 + 43808*t - 8348. Suppose n(z) = 0. What is z?
-8, 37
Suppose -16 = -11*z + 17. Determine c, given that -2 + 112*c**3 + 10 + 16*c**2 - 116*c**z + 0*c**2 - 20*c = 0.
1, 2
Let j(s) = -s**2 + 5*s - 1. Let w be j(4). Let p be 5*(189/(-140))/9 - 75/(-36). Solve 0*h - 2/3*h**4 - p*h**2 + 2*h**w + 0 = 0.
0, 1, 2
Let k(s) = 8*s**2 + 94. Let a(q) = -13*q**2 - 2*q - 187. Let f(p) = 3*a(p) + 5*k(p). What is o in f(o) = 0?
-7, 13
Let v(c) = -283*c**2 - 3124*c - 121. Let f be v(-11). Factor 0 + 3/2*p**5 + 0*p - 9/2*p**4 + 0*p**3 + f*p**2.
3*p**4*(p - 3)/2
Let p be (-21)/49 + (2813/3395 - ((-24)/(-15))/4). Solve v**3 - 5/3*v**2 + p + 2/3*v = 0 for v.
0, 2/3, 1
Let x(z) = -3*z**2 + z + 4. Let k(w) = 13*w**2 + 106*w + 3009. Let f(q) = 5*k(q) + 20*x(q). Determine v, given that f(v) = 0.
-55
Suppose -4/7*t**4 + 2/7*t**5 + 0 + 120/7*t - 38/7*t**3 + 16/7*t**2 = 0. What is t?
-3, -2, 0, 2, 5
Let b(c) be the third derivative of c**8/336 - c**7/35 + 3*c**6/40 - c**5/15 - 7*c**2 - 49. Suppose b(y) = 0. Calculate y.
0, 1, 4
Let l(r) be the second derivative of -5/6*r**4 - 62*r + 0*r**2 + 0*r**3 + 0 - 1/6*r**6 + 3/4*r**5. Factor l(s).
-5*s**2*(s - 2)*(s - 1)
Let t(h) be the second derivative of -h**4/24 - 77*h**3/12 + 39*h**2/2 + 3*h - 104. Let t(u) = 0. Calculate u.
-78, 1
Let m(j) be the second derivative of 0 + 115*j + 0*j**2 - 1/6*j**4 + 7/18*j**3 - 1/60*j**5. Determine o so that m(o) = 0.
-7, 0, 1
Suppose 8*l - u = 6*l + 7, -2*l - u + 1 = 0. What is y in -17*y**3 + 19*y**3 - 42*y**3 + 48*y - 12*y**3 - 892*y**5 - 44*y**4 + 44*y**l + 896*y**5 = 0?
-1, 0, 1, 12
Suppose -192/5 - 3/5*q**3 - 51/5*q**2 - 48*q = 0. Calculate q.
-8, -1
Let q(b) be the second derivative of -b**7/21 - 16*b**6/45 + 19*b**5/30 + 22*b**4/9 + 4*b**3/3 + 3079*b. Find u, given that q(u) = 0.
-6, -1, -1/3, 0, 2
Find z, given that 56/11*z + 58/11*z**2 + 0 + 2/11*z**3 = 0.
-28, -1, 0
Suppose 2203*d - 1749 = -u + 2206*d, 0 = -2*u + 7*d + 3514. Factor -3/7*v**2 - 54*v - u.
-3*(v + 63)**2/7
Factor 0*n**2 - 2/3*n**5 - 1582/3*n**3 - 528*n**4 + 0*n + 0.
-2*n**3*(n + 1)*(n + 791)/3
Let y(j) = 4*j**2 - 46*j + 526. Let p be (-2)/4*0 + -8 + 11. Let a(d) = -11*d**2 + 138*d - 1579. Let c(h) = p*a(h) + 8*y(h). Factor c(u).
-(u - 23)**2
Factor -487 - 3491*v - 575 - 8*v**2 - 446*v - 7*v - 306*v.
-2*(v + 531)*(4*v + 1)
Let u(r) be the first derivative of r**4/2 - 7660*r**3/3 + 3667225*r**2 + 7011. Factor u(p).
2*p*(p - 1915)**2
Factor 116/7 - 54/7*c - 2/7*c**2.
-2*(c - 2)*(c + 29)/7
Let g(z) be the first derivative of -16 - 24*z - 13*z**2 - 2/3*z**3. Solve g(f) = 0 for f.
-12, -1
Let j(w) = 6*w**4 + 178*w**3 + 2636*w**2 + 11578*w - 14398. Let o(x) = x**4 - x**3 - x + 1. Let l(a) = -j(a) + 2*o(a). Solve l(p) = 0.
-16, -15, 1
Let b = -294409/2 + 147207. Solve -25 - b*u**2 + 35/2*u = 0.
2, 5
Let s be 3/(78/80)*((-17228)/(-295) - 58). Factor 4/13*w - 2/13*w**2 + s.
-2*(w - 4)*(w + 2)/13
Let j(g) be the second derivative of -11*g**4/27 + 122*g**3/27 - 56*g**2/3 + 714*g. Suppose j(l) = 0. What is l?
28/11, 3
Suppose -9*x - 4*u = -7*x - 152, 391 = 5*x - u. Suppose -23*t + x = 32. Factor 0*a**t + 2/7*a**3 + 0 + 0*a.
2*a**3/7
Factor -126/5 - 69/5*y - 3/5*y**2.
-3*(y + 2)*(y + 21)/5
Suppose 80080 = 11*h + 79750. Let n(d) be the first derivative of 3/20*d**5 + 0*d**4 + h - 1/8*d**6 + 0*d**3 + 0*d**2 + 0*d. Factor n(r).
-3*r**4*(r - 1)/4
Let r(g) = -g - 4. Let b be r(-7). Let y(l) = l**2 - 6*l + 10. Let o be y(4). Factor -2*c**2 - 2*c**o + 2*c**b - c**4 + 3*c**4 - 4*c**3.
2*c**2*(c - 2)*(c + 1)
Let 173*y - 1125*y**4 + 76 + 120*y**3 - 740*y**2 + 259*y + 375*y**5 + 1772*y**2 - 28 = 0. Calculate y.
-2/5, -1/5, 2
Let t(s) = -29*s + 2*s**2 + 6 - 8*s**2 - s**2. Let u(i) = -2*i**2 - i + 2. Let g(x) = 5*t(x) - 15*u(x). Factor g(z).
-5*z*(z + 26)
Let j(z) be the first derivative of -11*z - 2/11*z**3 - 1/132*z**4 - 26 - 18/11*z**2. Let f(x) be the first derivative of j(x). Factor f(i).
-(i + 6)**2/11
Let c(g) = -2*g**3 + 1356*g**2 + 2724*g + 1348. Let z(v) = -8*v**3 + 5423*v**2 + 10897*v + 5385. Let m(r) = 18*c(r) - 4*z(r). Factor m(f).
-4*(f - 681)*(f + 1)**2
Let o(i) be the second derivative of -i**5/5 + 4*i**4/3 + 34*i**3 - 108*i**2 + 1756*i. Factor o(l).
-4*(l - 9)*(l - 1)*(l + 6)
Let s = 2/49905 + 39922/49905. What is p in -2/5*p**2 - s*p + 16/5 = 0?
-4, 2
Let r(o) = 5*o**4 + 117*o**3 + 179*o**2 + 75*o - 10. Let j(n) = 7*n**4 + 117*n**3 + 178*n**2 + 73*n - 10. Let v(s) = -6*j(s) + 5*r(s). Factor v(t).
-(t + 1)**2*(t + 5)*(17*t - 2)
Let r be -2*(13/13 - 2). Find w such that -75/2*w - 33/2*w**3 + 0 - 3/2*w**4 - 105/2*w**r = 0.
-5, -1, 0
Let o(z) be the second derivative of -z**4/8 + 421*z**3/2 - z - 778. Suppose o(d) = 0. What is d?
0, 842
Suppose 4*t - 98 = -2*d, -4*d - 4 = -3*t - 222. Factor 5 + 4*u**2 + d - 14 - 8*u**2 - 40*u.
-4*(u - 1)*(u + 11)
Let j(f) be the first derivative of -10*f**3/3 - 1505*f**2/2 + 755*f - 1648. Factor j(x).
-5*(x + 151)*(2*x - 1)
Let g(l) = 3*l**4 + 645*l**3 - 3287*l**2 + 4603*l - 1984. Let k(b) = -6*b**4 - 1290*b**3 + 6572*b**2 - 9208*b + 3967. Let s(f) = -7*g(f) - 4*k(f). Factor s(q).
3*(q - 3)*(q - 1)**2*(q + 220)
Let s be (28/(-21)*3)/(-2). Factor 5*x**2 + 1 + 7 + 3 + 14*x - s*x**2.
(x + 1)*(3*x + 11)
Let w(t) be the first derivative of 3*t**5/20 + 5*t**4/4 + 3*t**3 - 46*t - 60. Let s(r) be the first derivative of w