w, given that c*w + 5*w**4 + 5*w**3 + 4*w**3 + 2*w**2 - 4*w**2 + 9*w**2 + w**5 = 0.
-2, -1, 0
Let m(g) = -14*g**5 + 48*g**4 - 76*g**3 - 103*g**2 + 10. Let h(f) = 19*f**5 - 72*f**4 + 113*f**3 + 155*f**2 - 14. Let w(p) = -5*h(p) - 7*m(p). Factor w(v).
3*v**2*(v - 2)*(v + 1)*(v + 9)
Let -901*o + 222*o**4 + 1141*o - 369*o**4 + 576*o**3 + 6*o**5 - 732*o**2 = 0. What is o?
0, 1/2, 2, 20
Let q be -65*1/(-91)*7. Let r(d) be the third derivative of 1/160*d**6 - 1/4*d**3 + 0*d + 0*d**q + 0 - 3/32*d**4 + 26*d**2. Factor r(f).
3*(f - 2)*(f + 1)**2/4
Suppose 3*k + 81 = w - 9, 4*w - 4*k - 368 = 0. Factor 98*i**2 - w*i**2 - 18*i + i**3 + 4*i.
i*(i - 2)*(i + 7)
Let o(j) be the third derivative of 0*j - 176*j**2 + 0 + 36*j**3 - 1/180*j**6 - 10*j**4 + 37/90*j**5. Factor o(d).
-2*(d - 18)**2*(d - 1)/3
Let y be -9 + (1 - -1) + (-126)/(-27) + 4. Let s(f) be the second derivative of 0*f**2 + 1/6*f**6 - y*f**4 + 0 - 1/4*f**5 + 10/3*f**3 + 25*f. Solve s(q) = 0.
-2, 0, 1, 2
Suppose 3*w + 5 = 4*l + 2*w, 0 = w - 3. Factor 45*r**l + 80 + 8*r**3 - 3*r**3 - 120*r - 9*r**3 - r**3.
-5*(r - 4)**2*(r - 1)
Let a(w) be the second derivative of 0 + 0*w**2 + 0*w**4 + 0*w**5 + 1/63*w**7 - 2/45*w**6 + 0*w**3 + 82*w. Factor a(n).
2*n**4*(n - 2)/3
Let z = 30764 - 144604/5. Let b = 1845 - z. Find u, given that 0*u + 0 - 1/5*u**5 - 3/5*u**3 - b*u**2 + u**4 = 0.
-1, 0, 3
Let s(g) be the first derivative of 4*g**3/3 - 162*g**2 - 1360*g + 5293. Factor s(m).
4*(m - 85)*(m + 4)
Let z(w) be the second derivative of -18*w**2 + 73*w + 20/3*w**3 + 0 - 1/3*w**4. Factor z(s).
-4*(s - 9)*(s - 1)
Let x(b) be the first derivative of b**7/840 - b**5/240 + 25*b**2/2 - 42. Let i(t) be the second derivative of x(t). Factor i(p).
p**2*(p - 1)*(p + 1)/4
Let r = 229 - 140. Let a = r - 90. Let y(v) = 2*v**2 - 18*v + 34. Let g(c) = -c**2 + c + 1. Let w(k) = a*y(k) - 6*g(k). Let w(d) = 0. Calculate d.
-5, 2
Let p be (-4239)/630 - (-9)/((-63)/4). Let d = p - -531/70. Solve -8/7*m - 10/7 + d*m**2 = 0 for m.
-1, 5
Let g(x) = -x + 30. Let u be g(18). Solve 0*z**3 + 4*z**2 - z - u*z**3 + 45*z - 17 + 45 = 0 for z.
-1, 7/3
Let p(u) = 28*u**2 - 236*u + 456. Let c(m) = -9*m**2 + 79*m - 152. Suppose n + 1 = 4, 5*n = 2*t - 17. Let i(w) = t*c(w) + 5*p(w). Factor i(o).
-4*(o - 19)*(o - 2)
Let s(j) = -2*j**3 + 71*j**2 + 12*j - 6. Let d be s(36). Let u = 872 + d. Let 3/4*b - 1/4*b**u + 1 = 0. What is b?
-1, 4
Suppose -3*o = -3*k - 3, 3*o + 14*k = 10*k + 10. Suppose l + o*t + 2 = 0, 5*l + 2*t = 10*l - 14. Factor -7 + 14*q**l - 6*q - 4*q**3 - 2 + 9.
-2*q*(q - 3)*(2*q - 1)
Let w(m) be the third derivative of m**9/166320 - m**7/4620 + m**6/990 - m**5/440 - 45*m**4/8 + 3*m**2. Let p(s) be the second derivative of w(s). Factor p(q).
(q - 1)**3*(q + 3)/11
Solve 1/2*h**4 + 6*h**3 + 0 + 9/2*h**2 - 11*h = 0.
-11, -2, 0, 1
Let v(c) be the second derivative of 2/3*c**7 - 3*c - 3/2*c**5 + 1/30*c**6 + 0*c**2 - 1/12*c**4 + 1/3*c**3 + 20. Determine i, given that v(i) = 0.
-1, -2/7, 0, 1/4, 1
Let p(i) be the third derivative of -2*i**7/315 - 8*i**6/45 + 2*i**2 + 13. Factor p(h).
-4*h**3*(h + 16)/3
Let m = 63 + -59. Let f be -4 - -9 - (5 - m). Find a such that -2*a**f - 2 + 4*a**3 - 16*a + 14*a + 9*a**2 - 5*a**2 - 2*a**5 = 0.
-1, 1
Let a(m) be the third derivative of m**5/420 + 4*m**4/21 + 128*m**3/21 - 1002*m**2 + 1. Factor a(n).
(n + 16)**2/7
Let l(q) = 3*q**2 - 3*q. Let h(o) = 2*o - 2*o**2 - 10*o + 10*o. Suppose -32*b = -34*b + 8. Let w(r) = b*h(r) + 3*l(r). Factor w(x).
x*(x - 1)
Let j(f) be the first derivative of 90 - 10/3*f**3 + 1/2*f**4 + 0*f + 6*f**2. Solve j(o) = 0.
0, 2, 3
Let n(w) be the first derivative of -w**4 + 188*w**3/3 - 88*w**2 - 368*w - 1630. Solve n(j) = 0.
-1, 2, 46
Let c(x) = -2*x**2 - 2*x + 1. Let j(q) = 39*q**2 + 95*q + 331. Let p(z) = 38*c(z) + 2*j(z). Factor p(w).
2*(w + 7)*(w + 50)
Let m(g) be the third derivative of -132*g**2 - 1014*g**3 - 13*g**4 + 0*g + 0 - 1/15*g**5. Factor m(v).
-4*(v + 39)**2
Let k = -6 - -3. Let j(u) = -16 - u**2 + 50 - u - 20 - 17. Let w(n) = n**2 + 2*n + 3. Let p(v) = k*w(v) - 2*j(v). Find a, given that p(a) = 0.
-3, -1
Determine m, given that -181/7*m + 0 + 1/7*m**2 = 0.
0, 181
Let q be (-4)/3*(126/(-28))/3. Find c such that 11*c**4 + 56*c - 11*c**4 - 12*c**3 + 12*c**4 - 30*c**q - 46*c**2 + 4*c**5 + 16*c**4 = 0.
-7, -2, 0, 1
Suppose 25164 = -49*k + 25164. Suppose -18*n - 4 = -19*n. Solve 1/2*t - 9/4*t**2 + k - 3/2*t**3 + 5/4*t**n = 0 for t.
-1, 0, 1/5, 2
Let r be (147/28)/(45/4). Let m(t) be the first derivative of -3/4*t**4 - r*t**5 + 4/3*t**3 + 2/3*t**2 + 0*t - 22. Let m(s) = 0. What is s?
-2, -2/7, 0, 1
Let y(x) = -17*x**2 - 232*x. Let z(f) = -114*f**2 - 1623*f. Let u(g) = -27*y(g) + 4*z(g). Factor u(s).
3*s*(s - 76)
Factor -330/7 + 9*q - 3/7*q**2.
-3*(q - 11)*(q - 10)/7
Let w(u) be the third derivative of 0 + 1/450*u**5 + 1/5*u**3 - 6*u**2 + 3*u - 1/18*u**4. Factor w(m).
2*(m - 9)*(m - 1)/15
Let y(n) = -69*n - 7585. Let k be y(-110). Let u(g) be the third derivative of 0*g + 0*g**3 + 2/45*g**k - 1/18*g**4 + 19*g**2 + 1/30*g**6 + 0. Factor u(l).
4*l*(l + 1)*(3*l - 1)/3
Let z(h) be the first derivative of -h**4/10 + 158*h**3/15 - 558. Factor z(a).
-2*a**2*(a - 79)/5
Let x = 398 - 366. Factor 176*a + x*a - 3600 + 32*a + 0*a**2 - 4*a**2.
-4*(a - 30)**2
Let b(d) be the first derivative of 1/5*d**3 + 13872/5*d + 204/5*d**2 - 277. Suppose b(q) = 0. Calculate q.
-68
Factor 116/9 - 2/9*m**2 - 38/3*m.
-2*(m - 1)*(m + 58)/9
Let x(y) be the first derivative of y**3 - 135*y**2 - 837*y + 1116. Factor x(l).
3*(l - 93)*(l + 3)
Let i(x) be the third derivative of x**8/112 - 223*x**7/280 + 437*x**6/20 - 269*x**5/2 + 247*x**4 + 338*x**3 + 616*x**2. Find f, given that i(f) = 0.
-1/4, 2, 26
Let r be (0/996)/(0 + -6). Factor 0*q - 15/2*q**3 - 3/2*q**5 - 75*q**2 + 12*q**4 + r.
-3*q**2*(q - 5)**2*(q + 2)/2
Let p(l) be the third derivative of -l**4/24 - l**3/6 + 6*l**2 - 3*l. Let t(f) = -36*f**2 + 100*f - 40. Let x(y) = -16*p(y) + t(y). Factor x(q).
-4*(q - 3)*(9*q - 2)
Let r(n) = 140*n**2 - 43*n - 90. Let u(i) = -698*i**2 + 214*i + 432. Let z(s) = 19*r(s) + 4*u(s). Suppose z(l) = 0. What is l?
-1/4, 6/11
Let p(y) = -y**3 + 23*y**2 - 359*y + 4372. Let c be p(17). Factor 1/2*t**2 - 1/4*t**c + 3/4*t + 0.
-t*(t - 3)*(t + 1)/4
Factor -228 + 1326*d - 660 - 435*d**2 - 3560*d**3 + 3557*d**3.
-3*(d - 2)*(d - 1)*(d + 148)
Let r(p) be the first derivative of p**3/3 + 303*p**2/2 + 713. Factor r(s).
s*(s + 303)
Let m(w) be the first derivative of -w**5/150 - 17*w**4/60 - 9*w**2/2 + 62. Let d(a) be the second derivative of m(a). Factor d(n).
-2*n*(n + 17)/5
Let a(y) = 21*y**3 + 9*y**2 + 8*y + 50. Let f be a(-5). Let z = f - -2392. Solve 4374 + 5184*i**z + 182/3*i**4 - 834*i**3 - 12879*i - 5/3*i**5 = 0 for i.
2/5, 9
Let p be (-1737)/193 + (-707)/(-77). Factor 1458/11 + p*l**2 + 108/11*l.
2*(l + 27)**2/11
Let t(k) be the first derivative of -87/14*k**2 + 0*k + 1/7*k**3 + 62. Factor t(o).
3*o*(o - 29)/7
Let i(h) be the second derivative of h**6/30 + 9*h**5/20 + 3*h**4/2 - 2*h**3/3 - 12*h**2 + 406*h - 2. Factor i(t).
(t - 1)*(t + 2)**2*(t + 6)
Let y be (6/(-9))/((-28)/84). Factor -76*n + 5*n**3 + 30 + 71*n - 25*n**y - 5.
5*(n - 5)*(n - 1)*(n + 1)
Find k such that 12*k**3 + 154*k**2 + 50*k**2 + 360 + 57*k**3 + 136*k**2 - 14*k**3 + 645*k = 0.
-3, -24/11, -1
Let h(v) be the second derivative of -v**7/525 + v**5/150 + 23*v**2/2 - 4*v - 4. Let n(b) be the first derivative of h(b). Let n(c) = 0. What is c?
-1, 0, 1
Suppose 0 = -2*p - 3*q + 56, p + 0*q + q = 30. Factor -32 - p*d - 10*d**2 + 2*d - 3*d - d**3 + 10*d - 7*d.
-(d + 2)*(d + 4)**2
Suppose -o = 5*b - 7, 3*b + 0*b = 6. Let g be 13/o*(-2)/(-117)*-9. Determine h, given that 1/6*h**2 + g*h + 2/3 = 0.
-2
Let i(l) = 7*l + 2. Let k be i(0). Suppose 0 = -3*u + k*r + 2066, -3450 = -9*u + 4*u + 5*r. Factor -14*v**3 + 2401/2 - u*v + 1/2*v**4 + 147*v**2.
(v - 7)**4/2
Let z = 785/2 + -392. Let c be 0*1/2 - (6 + -8). Let 1/2*j**2 - 2 + c*j - z*j**3 = 0. Calculate j.
-2, 1, 2
Determine d so that 0 - 288/7*d**2 + 78/7*d**3 + 40*d - 2/7*d**4 = 0.
0, 2, 35
Determine y so that -44/17 + 46/17*y - 2/17*y**2 = 0.
1, 22
Suppose 60*w = -141*w - 55*w. Factor w + 3*d + 5/4*d**4 + 11*d**2 + 37/4*d**3.
d*(d + 1)*(d + 6)*(5*d + 2)/4
Suppose 128*a - 133*a = -80. Suppose 16 = a*h - 0. Factor 4/3*n 