*7/1680 - h**6/120 + 2*h**4/3 + 16*h**3/3 - 14*h**2. What is l in s(l) = 0?
-4, 4
Let w(c) be the third derivative of 9*c**5/160 - c**4/4 + 7*c**3/16 + 195*c**2 - 2. Factor w(t).
3*(t - 1)*(9*t - 7)/8
Let b(h) be the second derivative of 0 + 35*h - 1/30*h**5 + 1/90*h**6 + 0*h**2 + 1/9*h**3 - 1/36*h**4. Solve b(x) = 0.
-1, 0, 1, 2
Let j be (16/6)/(-2)*66/(-44). Determine o so that 4/7*o + 0 + 2/7*o**j = 0.
-2, 0
Factor -12*i + 0*i**2 + 10*i**2 - 14*i**2.
-4*i*(i + 3)
Let h(a) = 21*a**2 + 3*a**3 - 3*a**2 - 2 + 2*a**3 - 2*a**3 - a. Let s be h(-6). Find v such that 3/7*v + 3/7 - 9/7*v**2 + 6/7*v**s - 3/7*v**3 = 0.
-1, -1/2, 1
Factor 52/5 + 4*l**2 + 74/5*l - 2/5*l**3.
-2*(l - 13)*(l + 1)*(l + 2)/5
Let z(y) be the third derivative of -y**6/180 - y**5/12 - y**4/3 + 11*y**3/2 - 30*y**2. Let i(k) be the first derivative of z(k). Solve i(m) = 0 for m.
-4, -1
Suppose -o - 3*o - 4*h = -80, 0 = 4*o - h - 70. Let v be (o/(-45))/(1/(-5)). Find l, given that -4/5*l**3 + 4/5*l - v*l**4 + 0 + 2*l**2 = 0.
-1, -2/5, 0, 1
Let k(f) = f**2 + f. Let q(b) = 10*b**2 + 65*b - 65. Let l(j) = -5*k(j) + q(j). Factor l(d).
5*(d - 1)*(d + 13)
Let h = -13/66 + -3/22. Let w = 1 + h. Determine i so that 0 + 2/3*i**5 + 2/3*i**2 - 2/3*i**4 + 0*i - w*i**3 = 0.
-1, 0, 1
Let c(v) be the second derivative of -v**4/12 - 22*v**3/3 - 242*v**2 + 32*v + 2. Factor c(x).
-(x + 22)**2
Suppose -5*o = u - 9 + 114, 0 = u - 5. Let d = o + 26. Factor 11357*s - 276*s + 1419*s + d*s**5 - 5000*s**2 - 12500 + 18*s**4 - 118*s**4 + 1000*s**3.
4*(s - 5)**5
Let l(f) be the second derivative of f**5/80 - f**4/6 + 5*f**3/24 + 25*f**2/4 + 157*f. Factor l(w).
(w - 5)**2*(w + 2)/4
Let u(d) be the third derivative of -8/105*d**7 - 1/84*d**8 - 19*d**2 + 0*d**3 + 0*d + 0*d**4 + 0 - 1/6*d**6 - 2/15*d**5. Find k such that u(k) = 0.
-2, -1, 0
Let s(g) be the third derivative of 0 - 11/105*g**7 + 0*g**3 + 0*g + 8/105*g**6 + 0*g**4 + 1/24*g**8 + 28*g**2 - 2/105*g**5. Determine c, given that s(c) = 0.
0, 2/7, 1
Factor 6*s - 29*s**2 + 12*s**4 - 33*s**3 - 21*s**2 + 97*s**2 - 32*s**2.
3*s*(s - 2)*(s - 1)*(4*s + 1)
Let m be 15*(-238)/(-525) + 2/(-15). Factor 10/3*v**3 + 5/3*v**4 - m*v**2 - 10/3*v + 5.
5*(v - 1)**2*(v + 1)*(v + 3)/3
Suppose -d = 2*d - 9. Factor d*q**3 - 95*q - 4*q**2 + 75*q - 6*q**2 + 2*q**3 + 40.
5*(q - 2)**2*(q + 2)
Solve -242/3*x + 472/3*x**2 + 4/3 - 78*x**3 = 0.
2/117, 1
Factor -2*h**4 + 267*h + 693*h - 264*h**2 + 19*h**2 - 512 - 60*h**3 - 141*h**2.
-2*(h - 1)**2*(h + 16)**2
Let l be (1 - -4) + -3 + 0. Suppose g + 20 = 5*g. Find r such that -g*r**3 + 2*r**4 + r**4 + l*r**3 = 0.
0, 1
Let q(h) be the third derivative of h**6/360 + 2*h**5/45 + 7*h**4/72 + 2*h**2 - 148. Factor q(n).
n*(n + 1)*(n + 7)/3
Let v(j) be the first derivative of -2*j**6/3 - 32*j**5/5 - 16*j**4 + 24*j**3 + 162*j**2 + 216*j - 124. Determine p so that v(p) = 0.
-3, -1, 2
Determine t so that -248/11*t + 6/11*t**2 + 82/11 = 0.
1/3, 41
Let g(o) be the second derivative of o**6/10 + o**5/10 - 37*o**4/12 + 2*o**3 + 4*o - 13. Factor g(z).
z*(z - 3)*(z + 4)*(3*z - 1)
Let u = 1/593 + 14227/2965. Let g = -4477 + 22547/5. Factor -u*w**3 - 108/5*w**2 - 216/5*w - g - 2/5*w**4.
-2*(w + 3)**4/5
Suppose -5*y + 2*j - 2 = -9, 3*j = -4*y + 24. Let u(q) be the first derivative of 2/3*q**5 + 1 - 3/2*q**4 - 1/9*q**6 + 0*q - 2/3*q**2 + 14/9*q**y. Factor u(m).
-2*m*(m - 2)*(m - 1)**3/3
Let n(t) = t**3 - 15*t**2 + 16*t - 2. Let r be n(13). Let v = r + 132. Find c, given that v + 6/7*c**2 - 2/7*c = 0.
0, 1/3
Let v = -32 - -34. Suppose -5*l - 2*i = 1 + 5, v*i = -l - 6. Factor -6/5*s**2 + 0*s + l - 3/5*s**4 - 9/5*s**3.
-3*s**2*(s + 1)*(s + 2)/5
Let s(z) be the second derivative of z**5/120 - 25*z**4/72 + 143*z**3/36 + 169*z**2/12 - 278*z. Factor s(f).
(f - 13)**2*(f + 1)/6
Let h(l) be the second derivative of l**4/84 - 2*l**3 + 126*l**2 - 178*l. Determine w so that h(w) = 0.
42
Determine q, given that 89*q**2 + 86*q + 89*q**2 + 180 - 266*q**2 + 86*q**2 = 0.
-2, 45
Let b = -3 - -10. Let v = -1 + b. What is h in 0 - 2*h + v - 2*h - 2*h**2 + 0 = 0?
-3, 1
Suppose 0 = 46*q - 58*q - 3192. Let m = 268 + q. Suppose -1/3*w**m + 0 - 2/3*w + 1/3*w**3 = 0. What is w?
-1, 0, 2
Suppose 2*h = 8 - 0. Suppose -2*p = 5*l - 9, 0*l + h*p = -l - 9. Find n such that -18*n + n**l + 27*n + 6 - 4*n**3 = 0.
-1, 2
Let 10/3*o**3 + 26/3*o**2 + 22/3*o + 2 = 0. What is o?
-1, -3/5
Let q = 12 + -5. Suppose 10 = q*b - 2*b. Factor 6*g**b - 8*g + 7*g**3 - g + 0*g + 2*g**3 - 6.
3*(g - 1)*(g + 1)*(3*g + 2)
Let v(t) be the third derivative of -t**5/30 + t**4/12 + 2*t**3/3 - 163*t**2. Factor v(m).
-2*(m - 2)*(m + 1)
Let w(i) be the third derivative of i**8/60480 + i**7/7560 - 7*i**5/30 - 3*i**2. Let o(k) be the third derivative of w(k). Factor o(s).
s*(s + 2)/3
Let m(l) be the second derivative of 13*l + 3/8*l**2 + 9/40*l**5 + 0 + 11/24*l**4 + 7/120*l**6 + 13/24*l**3 + 1/168*l**7. Find y such that m(y) = 0.
-3, -1
Let f(q) = -5*q**2 - 9*q + 17. Let v(g) be the first derivative of 4*g**3/3 + 4*g**2 - 18*g + 5. Let t(h) = -4*f(h) - 6*v(h). Find d, given that t(d) = 0.
-5, 2
Let u be -6 - (-11 + -7 + 10). Let z(x) be the first derivative of 0*x**3 + 5 + 0*x + 0*x**u + 1/10*x**4 + 2/25*x**5. Suppose z(a) = 0. What is a?
-1, 0
Suppose -3*k = -1 - 5. Factor 26 + l**2 - l**3 - 28 - 3*l**2 - 5*l - 2*l**k.
-(l + 1)**2*(l + 2)
Let d(z) be the second derivative of -z**7/2520 + z**6/360 - z**4/18 - 3*z**3 - 33*z. Let u(b) be the second derivative of d(b). Factor u(t).
-(t - 2)**2*(t + 1)/3
Let x(c) be the third derivative of -c**6/60 - 4*c**5/75 + 19*c**4/60 - 2*c**3/5 + 75*c**2. Find w such that x(w) = 0.
-3, 2/5, 1
Factor 5/6*p**3 + 95/6*p**2 - 160/3 + 110/3*p.
5*(p - 1)*(p + 4)*(p + 16)/6
Factor 36 - 39/2*u - 15*u**2 - 3/2*u**3.
-3*(u - 1)*(u + 3)*(u + 8)/2
Let t(r) be the first derivative of 1/3*r**3 + 2 + r + 1/2*r**2. Let m(f) = 5*f**2 + 4*f + 5. Let c(u) = m(u) - 6*t(u). Factor c(h).
-(h + 1)**2
Find s, given that 2/11*s**3 + 0 + 6/11*s**2 + 4/11*s = 0.
-2, -1, 0
Let q(u) = 4*u**2 - 4*u + 4. Let p be q(2). Suppose p = -30*o + 34*o. Solve 8/7 - 4/7*l - 12/7*l**2 + 4/7*l**o + 4/7*l**4 = 0.
-2, -1, 1
Factor -4*o + 0 - 42/11*o**2 + 2/11*o**3.
2*o*(o - 22)*(o + 1)/11
Let f(r) = -r**2 - 1. Let t = -60 + 24. Let d be (-1 + 2)/((-2)/t). Let c(o) = 9*o**2 - 6*o + 21. Let y(k) = d*f(k) + c(k). Factor y(p).
-3*(p + 1)*(3*p - 1)
Let z be (0/(-14 - -8))/(-2). Let n(w) be the third derivative of 0*w**4 + z*w**3 + 0 + 2/105*w**7 + 6*w**2 + 1/120*w**6 + 0*w**5 + 0*w. Factor n(o).
o**3*(4*o + 1)
Factor 216*d + 21*d**3 - 379*d**2 + 133*d**2 + 3*d**4 + 84*d**2.
3*d*(d - 3)*(d - 2)*(d + 12)
Let p(f) be the first derivative of 4/5*f**3 - 33 + 0*f + 3/10*f**4 + 1/25*f**5 + 4/5*f**2. Factor p(i).
i*(i + 2)**3/5
Factor -5*h - 44*h**2 + 24*h**3 + 7*h + 15*h**4 + 22*h - 19*h**4.
-4*h*(h - 3)*(h - 2)*(h - 1)
Factor -1 - 7*f**2 + 32*f**3 + 6*f + 1 - 31*f**3.
f*(f - 6)*(f - 1)
Let o = 9103 - 81767/9. Factor -o*i - 28/9*i**2 + 16/3.
-4*(i + 6)*(7*i - 2)/9
Let l(q) be the first derivative of q**6/840 + q**5/70 + q**4/14 + 4*q**3/21 + 3*q**2 + 4. Let p(k) be the second derivative of l(k). What is g in p(g) = 0?
-2
Let w(h) be the third derivative of -h**9/18144 - h**8/15120 + h**5/30 - h**4/6 + 6*h**2 - h. Let b(o) be the third derivative of w(o). Factor b(s).
-2*s**2*(5*s + 2)/3
Let p be -10 - (-12)/10*10. Let 5/4*i**3 + 0*i**p - 1/4 - 7/8*i - 3/8*i**5 + 1/4*i**4 = 0. Calculate i.
-1, -1/3, 1, 2
Let a(d) be the second derivative of d**6/10 + 3*d**5/10 - 7*d**4/4 + 2*d**3 - d + 65. Factor a(i).
3*i*(i - 1)**2*(i + 4)
Solve -150*v**3 - 24*v - 32*v**4 - 230*v**2 - 71*v - 70*v - 45 - 5*v**5 - 13*v**4 = 0 for v.
-3, -1
Let f = -1206133/73656 - -2/9207. Let m = f + 33/2. Factor -m - 3/8*j + 3/8*j**3 + 1/8*j**2.
(j - 1)*(j + 1)*(3*j + 1)/8
Factor 35*k**3 - 28*k**2 - 26*k**3 - 13*k**3 - 12*k**3 + 256*k - 4*k**4 + 92*k**2.
-4*k*(k - 4)*(k + 4)**2
Suppose 2*i + d = -2*i + 1, 4*d - 4 = -5*i. Determine m so that 6*m**4 - 7*m**4 + 5*m**2 + i*m**4 - 4*m**2 = 0.
-1, 0, 1
Let v(k) = -k**3 + k**2 - 7. Let d(l) = -7*l**3 - 29*l**2 - 54*l - 28. Let j(p) = d(p) - 4*v(p). Factor j(a).
-3*a*(a + 2)*(a + 9)
Let 24/7 + 88/7*t**2 - 8/7*t**3 + 94/7*t = 0. What is t?
-1/2, 12
Suppose -3*a - 34 = -67. Let k = 1 + 5. Find b such that -a*b**4 + 2*b**2 + 0*b*