e the first derivative of c(l). Factor y(p).
-6*(p + 9)**2/11
Factor -544/5*d**2 - 2144/5 - 2152/5*d - 2/5*d**3.
-2*(d + 2)**2*(d + 268)/5
Let y(t) = -5*t**2 + 3533*t - 1562906. Let x(q) = -49*q**2 + 35331*q - 15629062. Let c(d) = 6*x(d) - 58*y(d). Factor c(r).
-4*(r - 884)**2
Let k = 1287 + -1277. Let z(t) be the second derivative of 5/12*t**4 - k*t**2 + 5/2*t**3 + 0 + 23*t. Determine h so that z(h) = 0.
-4, 1
Let o be 3570/2460 - 10/1435*-7. Factor -o + 1/6*x**3 + 19/6*x - 11/6*x**2.
(x - 9)*(x - 1)**2/6
Suppose -2 - 7/6*n - 1/6*n**2 = 0. What is n?
-4, -3
Let v = 9478/5 - 75823/40. Let l(p) be the third derivative of v*p**6 - 5/8*p**4 + 0*p + 22*p**2 + 0 + 1/10*p**5 - 3*p**3. Let l(o) = 0. What is o?
-3, -1, 2
Let m(a) = 62*a**2 - 44*a + 22. Let i(v) = 22*v**2 - 15*v + 7. Let w(b) = 14*i(b) - 5*m(b). Factor w(x).
-2*(x - 3)*(x - 2)
Solve -736 - 6*x**2 + 1155*x + 327 - 627 + x**2 - 1254 = 0.
2, 229
Let b(m) be the third derivative of m**8/1176 - 2*m**7/735 - m**6/84 + m**5/35 + 9*m**2 - 4*m + 30. Suppose b(f) = 0. Calculate f.
-2, 0, 1, 3
Suppose -99 = -18*f - 15*f. Determine x so that 96*x**4 + 26*x - 1521*x**f + 12*x**5 - 17*x**5 - 61*x**5 - 2 - 94*x**2 - 6*x**5 + 1567*x**3 = 0.
-1, 1/6, 1
Let s(l) be the first derivative of l**4/42 + l**3/7 - 4*l**2 - 57*l - 85. Let q(h) be the first derivative of s(h). Determine b so that q(b) = 0.
-7, 4
Let v(b) = 262*b + 3. Let m be v(0). Let q(c) be the second derivative of 0*c**2 + 1/36*c**4 + 2*c + 1/18*c**m + 0. Factor q(y).
y*(y + 1)/3
Let f be (2/5*-3)/(((-11682)/(-19765))/(-99)). Let 97/3*w**3 + 5/3*w**4 + f*w + 54 + 533/3*w**2 = 0. Calculate w.
-9, -1, -2/5
Let r(w) be the second derivative of -4 - 10/3*w**3 + 34*w + 32/3*w**2 - 1/9*w**4. Factor r(m).
-4*(m - 1)*(m + 16)/3
Let r = 166 + -138. Factor r*g - 20 + 28*g + 5*g**3 - 30*g**2 - 25*g + 14*g.
5*(g - 4)*(g - 1)**2
Let g(x) be the first derivative of -9/28*x**4 + 0*x - 1/7*x**5 - 1/42*x**6 - 78 - 1/7*x**2 - 1/3*x**3. Suppose g(a) = 0. What is a?
-2, -1, 0
Let l(k) be the second derivative of -k**4/3 + 10*k**3/3 - k - 397. Factor l(a).
-4*a*(a - 5)
Let v(a) be the third derivative of -a**5/240 + 85*a**4/8 + 1021*a**3/24 - a**2 - a + 2355. Factor v(y).
-(y - 1021)*(y + 1)/4
Factor -165/7*c**2 - 3/7*c**4 - 225/7*c + 0 - 39/7*c**3.
-3*c*(c + 3)*(c + 5)**2/7
Let j(c) be the first derivative of 0*c + 221 + 2/3*c**6 - 544/3*c**3 - 24/5*c**5 - 60*c**4 - 192*c**2. Factor j(r).
4*r*(r - 12)*(r + 2)**3
Let k(r) = -r**5 + r**4 - 2*r**3 - 2*r - 1. Let n(l) = -8*l**5 + 133*l**4 + 3948*l**3 + 7564*l**2 + 3703*l - 9. Let c(q) = 45*k(q) - 5*n(q). Solve c(f) = 0.
-61, -1, 0
Let z(c) be the third derivative of -c**8/1680 + 4*c**7/175 - 173*c**6/600 + 251*c**5/150 - 24*c**4/5 + 112*c**3/15 + 4918*c**2. Find y such that z(y) = 0.
1, 4, 14
Let t(c) be the first derivative of -c**3/18 + 27*c**2/4 - 520*c/3 - 942. Factor t(x).
-(x - 65)*(x - 16)/6
Let 0 + 18*n + 1/6*n**3 - 7/2*n**2 = 0. Calculate n.
0, 9, 12
Let t(q) be the second derivative of q**7/3360 + q**6/360 + q**5/480 - q**4/16 - 29*q**3/6 - 3*q + 1. Let m(b) be the second derivative of t(b). Factor m(w).
(w - 1)*(w + 2)*(w + 3)/4
Let c be 18/9*(-3 - (0 + -5)). Factor c*k**4 - 155*k**5 + 84*k**5 + 75*k**5.
4*k**4*(k + 1)
Suppose 26*r - 28*r = 8. Let n(l) = -5*l**4 - 3*l**2 - 4*l. Let d(k) = -k**4 - k**3 - 1. Let s(o) = r*d(o) + n(o). Solve s(f) = 0 for f.
-1, 1, 2
Let f = -2278 + 2278. Let j(d) be the first derivative of 8 + f*d - 1/6*d**2 + 1/18*d**3. Factor j(a).
a*(a - 2)/6
Let n = 237/5 - 189/4. Let i(w) be the third derivative of -n*w**5 + 0 - w**2 + 0*w**3 - 1/4*w**4 + 1/10*w**7 + 3/112*w**8 + 3/40*w**6 + 0*w. Factor i(m).
3*m*(m + 1)**3*(3*m - 2)
What is m in -66/7*m**4 - 174/7*m**2 + 0*m - 2/7*m**5 - 34*m**3 + 0 = 0?
-29, -3, -1, 0
Let a(x) be the second derivative of -x**6/60 + 7*x**5/20 - 11*x**4/6 + 10*x**3/3 + 3110*x. Suppose a(z) = 0. What is z?
0, 2, 10
Factor -2/11*n**5 - 12/11*n**3 + 0*n + 0*n**2 + 14/11*n**4 + 0.
-2*n**3*(n - 6)*(n - 1)/11
Let j(i) = 2*i**3 - 8*i**2 - 234*i + 3. Let a be j(-9). Solve 3/8*o**a + 5/8*o**4 + 0 - 1/4*o**2 + 0*o = 0.
-1, 0, 2/5
Let x = -29 + 34. Factor -9*c**5 + c**4 + 3*c**5 + 9*c**x.
c**4*(3*c + 1)
Let u(n) = 2*n**2 - 16*n + 34. Let a be u(4). Let g(h) be the first derivative of -3/8*h**a + 0*h - 1/16*h**4 + 16 + 1/3*h**3. Suppose g(m) = 0. Calculate m.
0, 1, 3
Let p(o) = -22*o + 1. Let c(u) = -u**2 - 60*u - 1301. Let r(h) = -c(h) - 6*p(h). Factor r(i).
(i + 7)*(i + 185)
Suppose 6*t = 7*t + 4. Let c(h) = h**5 + h**4 + h**2 + 2*h - 1. Let m(x) = x**5 + 13*x**4 + 3*x**3 - 29*x**2 + 44*x - 16. Let y(j) = t*c(j) + m(j). Factor y(d).
-3*(d - 2)*(d - 1)**3*(d + 2)
Let i(c) be the third derivative of -2/25*c**5 + 4 + 19/40*c**4 + 0*c - c**3 + 2*c**2 - 1/200*c**6. Factor i(z).
-3*(z - 1)**2*(z + 10)/5
Suppose 85 - 643 = -9*b. Suppose b*y - 64*y = 0. Factor y - 2/7*p**3 + 0*p**2 - 2/7*p**5 + 4/7*p**4 + 0*p.
-2*p**3*(p - 1)**2/7
Let s(q) be the second derivative of q**4/42 - 5*q**3/21 - 6*q**2/7 - 1340*q. Factor s(n).
2*(n - 6)*(n + 1)/7
Suppose 2*g = 6*g. Suppose -a + 5*j + 0*j + 5 = g, -2*a - 4*j = -10. Factor 10*t**2 + 5*t**a - 10*t**4 + 106*t - 5*t**3 - 106*t.
5*t**2*(t - 2)*(t - 1)*(t + 1)
Suppose -2*b - 3*d + 0*d + 32 = 0, 87 = 5*b + 4*d. Let k = 21 - b. Find m such that 0*m - 14*m**3 - 3*m + 7*m**2 + 11*m**k - m = 0.
0, 2/7, 1
Let z(y) be the first derivative of 2*y**3/3 - 708*y**2 + 1414*y - 1845. Find c such that z(c) = 0.
1, 707
Let l(x) be the first derivative of -x**4/12 + 2*x**3/3 + 5*x**2/2 + 8*x/3 + 162. Factor l(b).
-(b - 8)*(b + 1)**2/3
Find l such that 450 + 0*l**2 + 1070 - 16*l**2 + 4555*l + l**2 = 0.
-1/3, 304
Let z(t) be the first derivative of -2*t**3/11 + 826*t**2/11 + 1104*t/11 + 932. Factor z(f).
-2*(f - 276)*(3*f + 2)/11
Let c(q) = -4*q + 2. Let n(h) = 11*h**2 - 85*h - 58. Let j(w) = 2*c(w) + n(w). Factor j(u).
(u - 9)*(11*u + 6)
Let j(l) = 283*l - 29996. Let g be j(106). Factor -2/13*p**g + 0 - 4/13*p + 2/13*p**3.
2*p*(p - 2)*(p + 1)/13
Let 50/23 + 52/23*f + 2/23*f**2 = 0. What is f?
-25, -1
Let c = 1465716 - 1465713. Factor -117/7*f - 24/7*f**2 + 338/7 - 1/7*f**c.
-(f - 2)*(f + 13)**2/7
Let h = 128 + -374/3. Let o(d) = -2153*d - 2151. Let x be o(-1). Factor 10/3*g**4 - 5/3*g**5 + h*g**3 - 40/3*g**x - 10/3 + 35/3*g.
-5*(g - 1)**4*(g + 2)/3
Let f(o) be the first derivative of 3*o**4/8 - 341*o**3/9 + 3211*o**2/3 + 1444*o/3 - 1249. Factor f(q).
(q - 38)**2*(9*q + 2)/6
Let l(h) = -16*h**3 - 8*h**2 - 12. Let p(f) be the third derivative of f**6/120 + f**3/6 - 38*f**2. Let n(r) = -l(r) - 12*p(r). Solve n(i) = 0 for i.
-2, 0
Let t(o) = -2*o**3 + 90*o**2 - 8*o + 79. Let c be t(45). Let m = c - -285. Factor -6/13*b**3 + 0 + 6/13*b**2 - 2/13*b + 2/13*b**m.
2*b*(b - 1)**3/13
Let j(a) be the third derivative of a**6/480 + 77*a**5/240 + 19*a**4/24 + 66*a**2 - 4. Find y, given that j(y) = 0.
-76, -1, 0
Suppose 273*n + n**2 + 7025 + 0*n + 11471 - n = 0. Calculate n.
-136
Suppose 4 = 3*r - 3*i - 17, 5*r + 3*i = 3. Factor 6 - 279*v - 12*v**3 - 291*v + 579*v + r*v**5 - 6*v**2.
3*(v - 2)*(v - 1)*(v + 1)**3
Let p(j) be the second derivative of 49*j**6/45 - 469*j**5/30 + 128*j**4/9 - 4*j**3 + 2127*j. What is h in p(h) = 0?
0, 2/7, 9
Suppose -5*h = -2*c - 6, 7*c - 8 = h + 2*c. Solve -8*o - 5691*o**h + o**3 - 4*o**4 + 5695*o**2 + 7*o**3 = 0.
-1, 0, 1, 2
Suppose 561*q + 1626 - 24066 = 0. Let u(h) be the second derivative of 33*h + 0 - 7/3*h**4 - q*h**2 + 48*h**3. Suppose u(t) = 0. Calculate t.
2/7, 10
Let u be (-40 + 2304/54)*(-5)/(-2). Factor -2 + 10/3*f**4 - 20/3*f**2 + 4/3*f**5 + 0*f**3 - u*f.
2*(f + 1)**4*(2*f - 3)/3
Determine z so that 442*z + 1/2*z**3 - 1352 - 28*z**2 = 0.
4, 26
Determine j so that 3*j**2 + 4*j**2 - 45229 + 44013 - 600*j - 3*j**2 = 0.
-2, 152
Let m(j) be the second derivative of j**4/54 + 277*j**3/27 + 92*j**2/3 + 332*j. What is q in m(q) = 0?
-276, -1
Suppose 9*r + 0 + 39/4*r**2 - 3/4*r**5 - 39/4*r**4 - 33/4*r**3 = 0. What is r?
-12, -1, 0, 1
Let d be (8822/12030)/(2/12 + 0). Suppose -24/5*h**2 + 0 + 12*h**4 + d*h**3 - 10*h**5 - 8/5*h = 0. What is h?
-2/5, 0, 1
Factor -49/3*z**3 - 1/3*z**4 + 0 + 208/3*z + 160/3*z**2.
-z*(z - 4)*(z + 1)*(z + 52)/3
Let h be (112/140)/((-63)/(-30) - 2). Suppose q**3 + 0*q**5 + 8*q**4 + 24*q**3 + 2*q**5 - 9*