. Factor n(d).
-2*(d - 1)*(d + 1)*(d + 331)/5
Let m(u) = -8*u**3 - u - 1. Let d(v) = -17*v**3 - 86*v**2 - 1731*v - 10142. Let a(c) = -2*d(c) + 4*m(c). Solve a(i) = 0.
-60, -13
Let b(h) = 21*h - 97. Let j be b(5). Factor 595*m**3 + j + 8*m - 599*m**3 - m**4 + 8*m + 0*m - 2*m + 3*m**2.
-(m - 2)*(m + 1)**2*(m + 4)
Solve -3*f**4 - 54221*f**2 + 54113*f**2 + 51*f**3 + 124*f - 1264*f + 1200 = 0 for f.
-4, 1, 10
Let y(n) be the first derivative of n**6/15 - 2*n**5/5 - 19*n**4/10 + 58*n**3/15 + 42*n**2/5 + 3657. What is t in y(t) = 0?
-3, -1, 0, 2, 7
Suppose -133*d + 5*g = -130*d - 1, -g = -3*d + 5. Solve -2/3*s**d + 20/3*s - 14 = 0 for s.
3, 7
Determine o, given that 0 - 24010/3*o + 490/3*o**2 - 5/6*o**3 = 0.
0, 98
Let y(d) be the third derivative of d**8/10080 + d**7/504 - 59*d**5/30 + d**2 + 45*d. Let t(a) be the third derivative of y(a). Solve t(u) = 0.
-5, 0
Solve 6*a**2 + 32/7*a - 10/7 = 0.
-1, 5/21
Factor -7 + 1/3*f**2 - 17/6*f.
(f + 2)*(2*f - 21)/6
Let h(m) be the second derivative of m**6/270 + 4*m**5/45 - 10*m**4/9 + 128*m**3/27 - 118*m**2 - 34*m. Let r(s) be the first derivative of h(s). Factor r(j).
4*(j - 2)**2*(j + 16)/9
Let w(a) = a**2 + 315*a + 372. Let d(c) = c**2 + 261*c + 374. Let q(p) = 4*d(p) - 3*w(p). Factor q(y).
(y + 4)*(y + 95)
Let b(s) be the first derivative of -s**6/60 + s**5/5 - 3*s**4/4 + 4*s**3/3 - 17*s**2/2 + s + 154. Let a(r) be the second derivative of b(r). Factor a(z).
-2*(z - 4)*(z - 1)**2
Let p(s) be the second derivative of -s**6/40 + s**5/5 - 5*s**4/8 + s**3 - 52*s**2 - 55*s. Let x(a) be the first derivative of p(a). Find q such that x(q) = 0.
1, 2
Let v(x) be the third derivative of x**6/240 - x**5/15 + 17*x**4/48 - 5*x**3/6 + 92*x**2 + 1. Suppose v(g) = 0. What is g?
1, 2, 5
Find d, given that -4624 - 2*d**2 + 30*d + 20*d + 4676 = 0.
-1, 26
Let j be (19 - (-1140)/(-38))*1*4/(-88). What is k in -2*k**3 + 2*k - j*k**2 + 1/2 = 0?
-1, -1/4, 1
Let s(r) = 632*r**2 - 11*r - 4. Let p be s(2). Let h(q) = -q**2 + 8*q - 4. Let y be h(7). Suppose -2502*g**2 + 20*g - 15*g**y - 5*g**4 + p*g**2 = 0. What is g?
-2, 0, 1
Let p(b) be the third derivative of 11*b**7/168 + 29*b**6/24 + 335*b**5/48 + 125*b**4/16 - 6*b**2 - 247. Factor p(y).
5*y*(y + 5)**2*(11*y + 6)/4
Let r(g) be the second derivative of -g**6/90 - 17*g**5/10 - 35*g**3/6 - 2*g**2 - 315*g. Let z(m) be the second derivative of r(m). Factor z(o).
-4*o*(o + 51)
Let k = -379163/3 - -128755. Let u = k + -2366. Factor -676/3 - 104/3*c - u*c**2.
-4*(c + 13)**2/3
Factor -1/4*u**4 + 0*u**2 - 1/4*u**5 + 68*u**3 + 0 + 0*u.
-u**3*(u - 16)*(u + 17)/4
Let g(h) be the second derivative of -h**6/35 + 519*h**5/140 + 23*h**4/7 - 437*h**3/14 + 261*h**2/7 - 2744*h. Solve g(b) = 0.
-2, 1/2, 1, 87
Solve 3/10*z**3 - 55/2*z + 19/5*z**2 + 117/5 = 0 for z.
-18, 1, 13/3
Let i(r) = -10*r**2 + 160*r + 3. Let m be i(16). Let l be (3/(-2))/(3/(-4)). Factor 4*c**m - c - 5*c + 4*c**2 - c**l - c**3.
3*c*(c - 1)*(c + 2)
Let j be 5/3 + (-525)/(-225). Let c(g) be the second derivative of 1/2*g**j + 0*g**3 - 3*g - 1/10*g**6 - 3/20*g**5 + 0*g**2 + 0. Factor c(f).
-3*f**2*(f - 1)*(f + 2)
Suppose -5*u = 63*d - 57*d + 87, 5*d + 85 = 0. Suppose 5/4*w**4 + 3/4*w**5 - 5/4*w**2 - 1/2*w + 0 - 1/4*w**u = 0. Calculate w.
-1, -2/3, 0, 1
Factor -1/4*g**4 - 36*g**2 - 44 + 68*g + 7*g**3.
-(g - 22)*(g - 2)**3/4
Suppose -q = -2*p + 130, -65 = -3*p + q + 130. Let a = 131 - p. Factor -66 - 3*x**2 + a + x.
-x*(3*x - 1)
Let t = -156710 - -313421/2. Solve 0 + p - t*p**2 = 0.
0, 2
Suppose 508*c = 212*c. Find f, given that c - 25/3*f**2 - 20/3*f**3 - 5/3*f**4 - 10/3*f = 0.
-2, -1, 0
Let u = -201846 - -201850. Factor 10/3*o**2 - 2/3*o**3 + 0 - 2*o - 2/3*o**u.
-2*o*(o - 1)**2*(o + 3)/3
Suppose -2/13*b**2 + 252/13 - 122/13*b = 0. What is b?
-63, 2
Let r = 825 + -787. Let -8*q**2 - 286*q**5 - 94*q**3 - 26*q**4 + 142*q**5 + 96*q + 72 + 142*q**5 - r*q**2 = 0. What is q?
-6, -1, 1
Let c(a) = a**3 + a**2 + 1. Let g(j) be the second derivative of j**5/10 - 7*j**4/4 + 19*j**3/6 + 2*j**2 + 3*j - 12. Let p(z) = 4*c(z) + 2*g(z). Factor p(s).
2*(s - 3)*(s - 2)*(4*s + 1)
Let m(y) be the first derivative of y**3 + 411*y**2 + 1632*y - 516. Factor m(w).
3*(w + 2)*(w + 272)
Let b(p) be the second derivative of 3*p**6/10 - 33*p**5 + 61*p**4/4 + 440*p**3 - 438*p**2 + 970*p. Suppose b(f) = 0. Calculate f.
-2, 1/3, 2, 73
Let k(b) be the second derivative of 1/10*b**6 + 33*b + 1/28*b**7 + 0*b**2 - 3/10*b**5 + 3/4*b**3 - 1/4*b**4 + 0. Find f, given that k(f) = 0.
-3, -1, 0, 1
Let u(m) be the first derivative of 4*m**3/3 - 158*m**2 + 616*m - 1339. Factor u(w).
4*(w - 77)*(w - 2)
Let z(t) = 3*t - 1. Let s be z(1). Suppose s*i + 3*o - 3 = -8, 2*i = -2*o - 2. Let -i*u**2 - u**2 - 3*u**2 + 2*u**2 + 16 - 12*u = 0. Calculate u.
-4, 1
Let k(d) be the first derivative of -5*d**4/8 - 115*d**3/3 - 1055*d**2/4 - 615*d - 8886. Factor k(q).
-5*(q + 2)*(q + 3)*(q + 41)/2
Let d be ((-104)/1040)/((-4)/(-16)) + 176/140. Suppose -16/7*k**2 + 4*k**4 + 4*k**3 + d*k**5 - 12/7 - 34/7*k = 0. What is k?
-3, -1, -2/3, 1
Suppose -5*u**3 + 45*u**4 - 77*u**4 - 125*u**2 + 37*u**4 + 125*u = 0. Calculate u.
-5, 0, 1, 5
Let x(q) = -18*q**3 - 680*q**2 + 842*q - 159. Let v(y) = 4*y + 1. Let w(c) = 6*v(c) + 2*x(c). Factor w(d).
-4*(d - 1)*(d + 39)*(9*d - 2)
Let j(x) be the first derivative of -x**8/1680 + x**7/420 + x**6/120 + 2*x**3 + x**2 + 257. Let u(y) be the third derivative of j(y). Let u(s) = 0. What is s?
-1, 0, 3
Let i(k) = 3*k**2 + 16*k + 7. Let q be i(-5). Let l(v) be the first derivative of -v**2 - 18 - v**2 + v**3 - v**q - 9*v**2 + 21*v. Factor l(x).
3*(x - 7)*(x - 1)
Let b(l) be the second derivative of -l**5/20 - 353*l**4/24 + 223*l**3/3 - 537*l**2/4 - 1443*l. Factor b(y).
-(y - 1)*(y + 179)*(2*y - 3)/2
Determine m so that 27*m**3 - 112*m**2 - 3*m**5 + 21*m**4 - 536401*m + 536701*m - 69*m**2 - 178*m**2 + 14*m**2 = 0.
-4, 0, 1, 5
Let w(p) = p**3 - p**2 - 2*p - 8. Let v be w(3). Factor 5*d**3 + 13*d**4 - 5*d - 2*d + 27*d + 2*d**v - 40*d**2.
5*d*(d - 1)*(d + 2)*(3*d - 2)
Suppose 40*y = 151*y - 2160 - 171. Let i(f) be the second derivative of -y*f + 0 + 3/11*f**3 + 1/11*f**4 + 0*f**2 + 1/110*f**5. Factor i(w).
2*w*(w + 3)**2/11
Suppose 0 = -3*d + 30*a - 25*a + 172, -72 = -d - 2*a. Let -6*l**2 + 12*l**2 - 24*l - 2*l**2 - d = 0. Calculate l.
-2, 8
Let k(a) = -8*a**2 - 419*a + 849. Let w(b) = 10*b**2 + 418*b - 848. Let f(m) = -4*k(m) - 3*w(m). Factor f(j).
2*(j - 2)*(j + 213)
Let c = -12/1205 - -6073/4820. Let j(b) be the first derivative of -13 + c*b**2 - 5/12*b**3 - 5/4*b. Factor j(m).
-5*(m - 1)**2/4
Suppose 542 = 8*g - 258. Let g*a + 76*a**2 - 46*a**2 - 34*a**2 = 0. What is a?
0, 25
Factor -2/3*z**2 + 136/3*z + 280/3.
-2*(z - 70)*(z + 2)/3
Let v(f) = -3*f - 1. Let p be ((-21)/6 + 5)*(-8)/(-12). Let c(b) = -1156*b**2 - 198*b - 7. Let k(m) = p*c(m) + 2*v(m). Let k(x) = 0. Calculate x.
-3/34
Let w(j) be the second derivative of -j**4/138 + 3010*j**3/69 - 2265025*j**2/23 - 13013*j. Factor w(q).
-2*(q - 1505)**2/23
Let y(k) be the third derivative of -1/90*k**5 + 65*k - 1/225*k**6 + 0*k**3 + k**2 - 1/1575*k**7 - 1/90*k**4 + 0. Factor y(q).
-2*q*(q + 1)**2*(q + 2)/15
Let u be 261/58 - 3/(-2). Suppose 6*v - 3*t - u = 3*v, 4*t + 8 = -2*v. Find h such that -12/5*h**2 + 0*h + 2/5*h**4 + v + 2*h**3 = 0.
-6, 0, 1
Let w(s) be the third derivative of s**6/40 - 77*s**5/20 - 39*s**4/4 + 260*s**2 - 4. Factor w(i).
3*i*(i - 78)*(i + 1)
Factor 14/3*j**3 + 34/3*j**2 + 34/3*j + 2/3*j**4 + 4.
2*(j + 1)**2*(j + 2)*(j + 3)/3
Let u(v) be the first derivative of v**6/210 - v**5/140 - v**4/42 + 101*v + 10. Let t(q) be the first derivative of u(q). Solve t(m) = 0 for m.
-1, 0, 2
Let b(q) be the second derivative of 3*q**5/20 + 15*q**4/4 - 17*q**3 - 5209*q. Suppose b(d) = 0. Calculate d.
-17, 0, 2
Determine d so that -61*d**3 - 1/3*d**4 + 0 + 0*d - 362/3*d**2 = 0.
-181, -2, 0
Let t = 17955 - 53861/3. Let p(h) be the second derivative of 0 - 10*h - 4/9*h**3 + 1/6*h**4 + 1/45*h**6 + 2/15*h**5 - t*h**2. Factor p(x).
2*(x - 1)*(x + 1)*(x + 2)**2/3
Let h(s) be the second derivative of s**6/360 + s**5/40 - 13*s**3/6 + s**2 - 135*s. Let x(v) be the second derivative of h(v). What is w in x(w) = 0?
-3, 0
Find y, given that 30/7 - 18/7*y**4 + 292/7*y**2 - 24/7*y**3 - 184/7*y = 0.
-5, 1/3, 3
Suppose -4*p = -