- s**4/9 - 32*s**3/27 + s**2 - 8*s - 1. Find w such that b(w) = 0.
-8, -2, 4
Suppose 2/3*m**3 - 24*m**2 - 68/3 + 46*m = 0. What is m?
1, 34
Let p be (8/18)/(-198*59/(-4779)). Let -28/11*k - 30/11 + p*k**2 = 0. What is k?
-1, 15
Determine r, given that 3/8*r**3 + 0 - 15*r - 27/4*r**2 = 0.
-2, 0, 20
Let t(q) be the first derivative of q**5/5 - 6*q**3 + 81*q + 171. Solve t(h) = 0 for h.
-3, 3
Let u(a) be the third derivative of -a**5/60 + 2*a**4/3 + 35*a**3/2 - 39*a**2. Let l be u(-5). Factor 0*f**3 + 0*f**2 + 0*f**4 - 1/3*f**5 + 0 + l*f.
-f**5/3
Let t be 1*11 + (7 - 25)*(-1)/2. Find n such that 0 + 15/2*n**4 - 5/2*n**5 + t*n + 5*n**3 - 30*n**2 = 0.
-2, 0, 1, 2
Let h(a) be the first derivative of 2/85*a**5 - 66 - 3/34*a**4 + 2/17*a**3 + 0*a - 1/17*a**2. Factor h(f).
2*f*(f - 1)**3/17
Suppose 18*c + 2250 = 2286. Let f(h) be the first derivative of 0*h - c*h**2 - 2/9*h**3 - 13. Determine w, given that f(w) = 0.
-6, 0
Let a be 0/(-8) + -4 + (10 - 0). Factor 25*q**2 - 45*q - 1 - 1 - 3 + 19*q + a*q.
5*(q - 1)*(5*q + 1)
Suppose 1412*o + 149 = 1498*o - 109. Factor -15*j - 15/2*j**2 - 5/4*j**o - 10.
-5*(j + 2)**3/4
Let f(w) be the second derivative of 2*w - 1/42*w**4 - 57 - 4/7*w**3 - 11/7*w**2. Find u, given that f(u) = 0.
-11, -1
Let c(a) be the first derivative of 3*a**5/35 - 24*a**4/7 + 256*a**3/7 + 810. Factor c(r).
3*r**2*(r - 16)**2/7
Let u(w) be the third derivative of w**8/1428 + 13*w**7/595 + 18*w**6/85 + 121*w**5/255 - 3*w**4/34 - 27*w**3/17 - 4*w**2 + 57. What is q in u(q) = 0?
-9, -1, 1/2
Let m(v) be the second derivative of v**4/12 - 3*v**3 - 19*v**2/2 - 9*v + 6. Let m(t) = 0. What is t?
-1, 19
Let k = 14/447 + 3827/6258. Let s(t) be the first derivative of k*t**2 + 36 + 1/7*t**3 - 12/7*t. What is l in s(l) = 0?
-4, 1
Let u(w) be the second derivative of 3 + 63*w - 13/60*w**6 + 0*w**2 - 2/3*w**3 + 1/28*w**7 + 1/6*w**4 + 7/20*w**5. What is i in u(i) = 0?
-2/3, 0, 1, 2
Let g(s) be the first derivative of 24*s + 328 + 22*s**2 + 16/3*s**3 - s**4. Factor g(x).
-4*(x - 6)*(x + 1)**2
Let s = 3288 - 3288. Let o(c) be the third derivative of s*c - 4*c**3 + 1/15*c**5 - 1/6*c**4 + 21*c**2 + 0. Factor o(p).
4*(p - 3)*(p + 2)
Suppose 2*z + p = 33, 2*z + 0*p + 3*p = 31. Suppose 4*i = -0*i + 3*x + z, -3*i = -x - 9. Let -2*s**2 + 2*s**4 - 48*s - 6*s**i - 2*s**3 + 56*s = 0. What is s?
-2, 0, 1, 2
Let 341*o**5 - 274*o**2 - 30*o**2 - 110 + 465*o**4 - 361*o**5 - 51*o**2 + 555*o - 535*o**3 = 0. Calculate o.
-1, 1/4, 1, 22
Let i(f) be the third derivative of -6/5*f**3 - 16*f**2 + 3/4*f**4 - f + 34/525*f**7 - 19/150*f**6 - 1/120*f**8 + 0 - 8/75*f**5. Let i(l) = 0. What is l?
-1, 6/7, 1, 3
Factor -16/3*w - 4/3*w**2 + 16.
-4*(w - 2)*(w + 6)/3
Suppose -420*x + 1271 + 3466 = 1159*x. Factor -4/9*b**x - 38/9*b**2 + 0 - 2*b.
-2*b*(b + 9)*(2*b + 1)/9
Let l(s) be the first derivative of -s**4/2 - 34*s**3/3 - 19*s**2 - 2*s - 41. Let d(h) = 2*h**2 - h - 1. Let k(i) = 2*d(i) - l(i). Factor k(g).
2*g*(g + 1)*(g + 18)
Let a(o) = 48*o - 84. Let c be a(2). Suppose -c*t**2 + 847*t**5 + 10*t**3 + 4*t**4 - 1700*t**5 + 851*t**5 = 0. What is t?
-2, 0, 1, 3
Let t(b) be the first derivative of -675*b**6 + 15138*b**5/7 - 12896*b**4/7 - 6224*b**3/21 + 4272*b**2/7 + 1440*b/7 - 6750. Determine n, given that t(n) = 0.
-2/9, 5/7, 6/5
Factor 136 + 45*o - 3*o**3 - 43681*o**2 - 28 + 43675*o**2.
-3*(o - 4)*(o + 3)**2
Let b(v) be the second derivative of -4*v**2 + 0 - 109*v - 1/36*v**4 + 11/18*v**3. Factor b(t).
-(t - 8)*(t - 3)/3
Let f(z) be the second derivative of -z**4/42 - 25*z**3/21 - 66*z**2/7 - 3*z + 434. Let f(n) = 0. Calculate n.
-22, -3
Let v(s) be the second derivative of s**6/1980 + s**5/55 + 9*s**4/44 + 14*s**3/3 - 10*s - 1. Let j(f) be the second derivative of v(f). Solve j(p) = 0 for p.
-9, -3
Let w(o) be the third derivative of -1/180*o**5 + 5 + 7/6*o**3 + 0*o - 5/18*o**4 - 4*o**2. Let w(t) = 0. What is t?
-21, 1
Find a such that 1/4*a**4 + 0*a**2 + 2*a**3 + 0 + 0*a = 0.
-8, 0
Let o(w) = 5*w**4 + 3*w**2. Let g(l) be the second derivative of l**4/12 + l. Suppose -227*t = -235*t - 24. Let k(i) = t*g(i) + o(i). Factor k(m).
5*m**4
Let k = 791075/2768689 + -3/395527. Let 4/7*w**3 - 2/7*w**4 + k*w**2 + 0 - 4/7*w = 0. Calculate w.
-1, 0, 1, 2
Suppose 0*d - 5*r = -5*d, 15 = 5*d - 0*r - 2*r. Factor -j**3 + 0*j + 0 - 4/5*j**4 - 1/5*j**d - 2/5*j**2.
-j**2*(j + 1)**2*(j + 2)/5
What is b in -1/9*b**3 + 40/9 - 53/9*b + 14/9*b**2 = 0?
1, 5, 8
Let l(b) be the third derivative of 4/21*b**3 - 7*b + 0 + 5*b**2 - 1/60*b**5 + 5/84*b**4. What is q in l(q) = 0?
-4/7, 2
Let j = -51 + 55. Suppose j*h + 3*u - 69 = 12, -4*u = -2*h + 46. Determine m, given that -5*m**3 - 10*m + 40*m**2 - h*m - 4*m = 0.
0, 1, 7
Let y(t) be the third derivative of -t**6/60 - t**4/4 - 17*t**2. Let c(g) = -g**3 - 6*g + 1. Let v(a) = -4*c(a) + 3*y(a). Let v(w) = 0. What is w?
-2, 1
Let f(n) be the first derivative of n**6/18 + n**5/5 + 20*n**3/3 + 99. Let g(i) be the third derivative of f(i). Determine y so that g(y) = 0.
-6/5, 0
Let o(v) = v**2 - 255*v + 2218. Let j be o(9). Let y(n) be the second derivative of 0 - 2/5*n**3 - n**2 - 1/30*n**j + 32*n. Find a, given that y(a) = 0.
-5, -1
Let y = 27329/3240 - -77/405. Factor 3/8*o**3 + y*o - 21/4 - 15/4*o**2.
3*(o - 7)*(o - 2)*(o - 1)/8
Let l = -98 - -168. Let n be (47/47)/((-1)/(-47)). Let 223 - n + l*i + 69 - 4*i**2 + 9*i**2 = 0. What is i?
-7
Let l be 5/((-15)/(-18)) - 4. Factor -23*o**l + 5*o**3 + 6*o**2 + 32*o**2.
5*o**2*(o + 3)
Suppose -20 = -6*l - 4*l. Determine w, given that 26601 + l*w**3 + 6*w - 8*w**2 - 26601 = 0.
0, 1, 3
Suppose -28*q - 18 = 18 - 36. Let l(w) be the first derivative of 0*w + 2/3*w**3 + 1/2*w**4 + q*w**2 - 2/5*w**5 + 11 - 1/3*w**6. Find c, given that l(c) = 0.
-1, 0, 1
Let z(f) be the third derivative of -f**8/2240 + f**7/210 - f**6/60 - f**4/6 + f**3/6 + 3*f**2. Let j(x) be the second derivative of z(x). Factor j(v).
-3*v*(v - 2)**2
Let r(w) = -5*w**5 - 36*w**3 - 4*w**2 + 13*w + 4. Let x(y) = -y**5 + y**4 - 2*y**3 - y - 1. Let p(n) = 4*r(n) - 28*x(n). Let p(c) = 0. Calculate c.
-1, 1, 11/2
Let i(v) be the second derivative of -v**5/20 + 113*v**4/12 + 476*v**3/3 + 968*v**2 + 19*v - 15. Factor i(l).
-(l - 121)*(l + 4)**2
Factor -24 + 88/5*o - 2/5*o**3 - 2*o**2.
-2*(o - 3)*(o - 2)*(o + 10)/5
Let m(z) = -4*z - 5. Let y be m(-2). Factor -45*t**2 + 112*t + 6*t**y + t**3 - 211*t - 4*t**3 - 51.
3*(t - 17)*(t + 1)**2
Let z(o) be the second derivative of -20/21*o**3 + 11/42*o**4 - 9*o - 4/7*o**2 + 0. Find b such that z(b) = 0.
-2/11, 2
Let a(q) be the second derivative of 0*q**3 + 35*q + 1/3*q**4 + 0 + 0*q**2 - 1/5*q**5. Factor a(j).
-4*j**2*(j - 1)
Let p(n) be the third derivative of 0 - 28*n + 1/39*n**4 + 2*n**2 + 1/390*n**5 + 1/13*n**3. Factor p(g).
2*(g + 1)*(g + 3)/13
Let v(k) = -25*k**2 + 67*k + 671. Let g be v(-4). Factor -u**2 + 1/4*u**g + 5/4*u - 1/2.
(u - 2)*(u - 1)**2/4
Factor 178*i + 5*i**2 + 2020581 - 18*i - 2020581.
5*i*(i + 32)
Let i(a) be the third derivative of a**7/1680 - a**6/96 - 3*a**4/4 - a**3/6 - a**2 - 46. Let t(s) be the second derivative of i(s). Factor t(v).
3*v*(v - 5)/2
Find k, given that 86/3*k**3 + 176/3*k**2 - 1/3*k**4 + 0*k + 0 = 0.
-2, 0, 88
Determine b so that -7/2*b**5 + 1496*b**2 - 400 - 920*b + 83*b**4 - 620*b**3 = 0.
-2/7, 2, 10
Let j(f) = -18*f**2 + 38*f - 2. Let x be j(2). Let s be x/(-8) + 297/108. Determine w so that 0 - 5/4*w**2 + 5/4*w**4 - 5/2*w + s*w**3 = 0.
-2, -1, 0, 1
Let n(w) = w**3 - 10*w**2 + 3*w + 22. Suppose 4*v + 18 = 2*i, 0 = 4*i - v - 37 - 6. Let d be n(i). Factor -p + 0*p + 179*p**2 - d*p**2.
p*(3*p - 1)
Suppose 2*l = 2*z + 12, 5*z = l + 8 - 2. Factor l*p - 13*p**3 + 3*p + p**3 - 10*p**2 + 2*p**4 + 8*p**3.
2*p*(p - 3)*(p - 1)*(p + 2)
Let f = -119622 + 473967/4. Let s = -1128 - f. Factor -s*r**2 + 3/2*r + r**3 - 1/4.
(r - 1)**2*(4*r - 1)/4
Let x(f) be the first derivative of f**3/7 - 3195*f**2/7 + 3402675*f/7 - 3767. Factor x(z).
3*(z - 1065)**2/7
Let f(b) be the third derivative of 5*b**3 - 7/8*b**4 - 1/5*b**5 + 0 + 68*b**2 + 0*b + 1/40*b**6. Let f(l) = 0. What is l?
-2, 1, 5
Let k(z) be the first derivative of 2/3*z**4 - 41 + 0*z**2 - 8/9*z**3 - 2/15*z**5 + 0*z. Factor k(u).
-2*u**2*(u - 2)**2/3
Factor 405*r + 414*r**4 + 1620 - 7125*r**2 + 6900*r**2 - 409*r**4 - 45*r**3.
5*(r - 12)*(r - 3)*(r + 3)