s + 4)
Let n(y) = 25*y**4 + 66*y**3 + 14*y**2 - 51*y - 36. Let z(l) = 25*l**4 + 68*l**3 + 15*l**2 - 48*l - 36. Let x(b) = 4*n(b) - 3*z(b). Let x(v) = 0. What is v?
-6/5, -1, 1
Let j(x) be the third derivative of -x**7/13860 - x**6/3960 + 5*x**4/24 + 11*x**2. Let i(m) be the second derivative of j(m). Suppose i(g) = 0. What is g?
-1, 0
Let y(u) be the second derivative of 16/27*u**3 + u + 12 + 8/3*u**2 + 1/27*u**4. What is a in y(a) = 0?
-6, -2
Let o be ((-27)/(-54))/(13/12). Let c = o - -1/26. Factor c*u**2 + 0 + 1/2*u.
u*(u + 1)/2
Let b(p) = -p**2 - 2*p + 5. Let g be b(-3). Find t, given that 4 - 4 - g*t**2 + t + t**2 = 0.
0, 1
Factor 6*q**2 - 3/2*q**3 + 9/2*q - 27.
-3*(q - 3)**2*(q + 2)/2
Let c(t) = -t**3 - t**2 + 1. Let m(j) = j**4 - 17*j**3 - 18*j**2 - 4. Let p(g) = -12*c(g) - 3*m(g). Factor p(d).
-3*d**2*(d - 22)*(d + 1)
Let l(v) = 12*v**3 - 712*v**2 + 10084*v. Let n(x) = -4*x**3 + 238*x**2 - 3361*x. Let d(o) = -3*l(o) - 8*n(o). Factor d(k).
-4*k*(k - 29)**2
Let g(f) = -6*f + 32. Let b be g(19). Let v = 85 + b. Factor -1/4*i**2 + 1/4*i**v + 0*i + 0.
i**2*(i - 1)/4
Let f = -3371/36 - -375/4. Let v(i) be the third derivative of 0 + 0*i + 1/180*i**5 + 1/72*i**4 + 11*i**2 - f*i**3. Factor v(t).
(t - 1)*(t + 2)/3
Let r(k) be the second derivative of -k**6/90 + 7*k**5/15 - 65*k**4/12 - 14*k**3/9 + 98*k**2/3 - k + 1. Factor r(q).
-(q - 14)**2*(q - 1)*(q + 1)/3
Let c(l) = 3 + l**4 + 2*l**3 + 2*l**3 - 4 - 5*l**3. Let j(k) = -2*k**5 + 11*k**4 - 17*k**3 + 8*k**2 - 1. Let g(d) = c(d) - j(d). Find i, given that g(i) = 0.
0, 1, 2
Let o(b) be the second derivative of 0 + 0*b**2 - 9/5*b**5 + 4/15*b**6 - 4*b**4 + 12*b - 8/3*b**3 + 2/7*b**7. Determine g, given that o(g) = 0.
-1, -2/3, 0, 2
Let i(r) be the first derivative of 8 - 4/5*r**5 - 2*r**2 - 3*r**4 + 0*r - 4*r**3. Determine s so that i(s) = 0.
-1, 0
Let f(v) be the third derivative of v**7/560 + v**6/240 - 11*v**5/480 - v**4/12 - v**3/12 + 2*v**2 - 1. What is p in f(p) = 0?
-2, -1, -1/3, 2
Let o be -15 - 8*(-207)/108. Suppose 2*a + 2*a = 0. Factor 2/3*p**2 - o*p + a - 1/3*p**3.
-p*(p - 1)**2/3
Factor 2*q**2 + 22/3*q + 20/3.
2*(q + 2)*(3*q + 5)/3
Factor 3/2*b**2 + 0*b - 2 - 1/2*b**3.
-(b - 2)**2*(b + 1)/2
Let y(s) = 4*s**3 + 2*s**2 + 11*s + 7. Let z(q) = -3*q**3 - 3*q**2 - 10*q - 6. Let t(r) = 2*y(r) + 3*z(r). Factor t(h).
-(h + 1)*(h + 2)**2
Let o(u) be the second derivative of 1/8*u**4 + 21*u - 3/4*u**2 + 1/4*u**3 - 3/40*u**5 + 0. Find l, given that o(l) = 0.
-1, 1
Let y(l) = 25*l - 348. Let b be y(14). Let -2/5*j**3 - 2/5*j**b + 4/5*j + 0 = 0. What is j?
-2, 0, 1
Let z(s) be the first derivative of s**6/60 - s**5/5 + s**4 - 8*s**3/3 - 2*s**2 + 9. Let n(h) be the second derivative of z(h). Let n(c) = 0. What is c?
2
Let c = 10578/7 - 1511. Factor -5/7*r**3 - 4/7*r**4 - 2/7*r**2 + 0 - c*r**5 + 0*r.
-r**2*(r + 1)**2*(r + 2)/7
Let q(z) = -z**2 - z - 2. Let n(a) = 9*a**2 - 86*a + 413. Let m(p) = n(p) + 4*q(p). Suppose m(f) = 0. What is f?
9
Determine g so that -84 - 87*g**2 - 3/2*g**3 - 339/2*g = 0.
-56, -1
Let f(b) be the first derivative of 9/28*b**4 - 11/7*b**3 + 21 + 9/7*b**2 - 1/14*b**6 + 0*b + 9/35*b**5. What is g in f(g) = 0?
-2, 0, 1, 3
Factor -40*d - 161*d + 57*d**2 - 246 - 109*d**2 - 47*d + 50*d**2.
-2*(d + 1)*(d + 123)
Let z(o) be the first derivative of -o**6/3 - 16*o**5/5 - 7*o**4 + 16*o**3/3 + 15*o**2 + 326. Find m such that z(m) = 0.
-5, -3, -1, 0, 1
Suppose 4*l = l + y, 7*l - 5*y = 0. Let a(c) be the third derivative of -1/52*c**4 - 1/130*c**5 - 1/780*c**6 + l - 8*c**2 - 1/39*c**3 + 0*c. Factor a(w).
-2*(w + 1)**3/13
Solve 1/2*u - 1/8*u**2 + 5/8 = 0.
-1, 5
Let m(p) be the first derivative of -p**3/9 - 13*p**2/6 - 49. Factor m(w).
-w*(w + 13)/3
Let q(v) be the first derivative of 12*v**5/5 + 29*v**4 + 260*v**3/3 - 50*v**2 - 75. Factor q(a).
4*a*(a + 5)**2*(3*a - 1)
Let t(s) be the second derivative of -26*s + 2/3*s**2 + 0*s**3 - 1/9*s**4 + 0. Factor t(z).
-4*(z - 1)*(z + 1)/3
Let a = 6 - 17. Let c = a - -13. Factor -3*u**2 - u**c + 5*u**2 - u.
u*(u - 1)
Let a(k) be the first derivative of 3*k**4/4 - 15*k**3 + 189*k**2/2 - 243*k - 163. Factor a(m).
3*(m - 9)*(m - 3)**2
Suppose 5*h + 85 = 2*p, 85 + 70 = 4*p - 5*h. Solve -2*l**2 + 16*l - p - 24 + 4*l + 9 = 0.
5
Suppose 0 = 7*q - 2*q - 105. Suppose 0 = q*s - 26*s + 10. Factor 4*z**2 - 4*z**4 - 4*z**s - 6*z**2 - 2*z**2 + 12*z**3.
-4*z**2*(z - 2)*(z - 1)
Let z = -35 - -50. Suppose 0 = -5*d + 2*d + 9. Let 6*n**4 + z*n**2 - 3*n**4 - d*n**2 + 12*n**3 = 0. Calculate n.
-2, 0
Let u be 13/4 - (2 + 33/(-12)). Let b be -1 + (-14)/(-7) + u. Suppose -15/4*a + 0 - 5/4*a**3 + b*a**2 = 0. What is a?
0, 1, 3
Let k(i) be the second derivative of -i**6/1080 - i**5/45 - i**4/6 + i**3/6 - 10*i**2 - 2*i + 20. Let o(f) be the second derivative of k(f). Factor o(a).
-(a + 2)*(a + 6)/3
Let i = 10 + -2. Solve -2 + i + 4*r + 2*r**2 + 4*r = 0.
-3, -1
Let c(h) be the first derivative of -1/9*h**2 + 1/54*h**4 + 0*h**3 + 2 - 3*h. Let z(q) be the first derivative of c(q). What is t in z(t) = 0?
-1, 1
Solve -1/4*q**2 - 1/2*q + 15/4 = 0.
-5, 3
Let x(v) be the second derivative of -v**7/252 - 23*v**6/60 - 51*v**5/5 - 289*v**4/18 + 296*v. Factor x(r).
-r**2*(r + 1)*(r + 34)**2/6
Let l(h) be the second derivative of 0*h**3 + 9/2*h**2 + 0 - 1/150*h**5 + 0*h**4 - 9*h. Let o(v) be the first derivative of l(v). Suppose o(r) = 0. Calculate r.
0
Let l(b) be the second derivative of -7*b**3 - 147/2*b**2 - 1/4*b**4 + 0 + 21*b. Solve l(o) = 0 for o.
-7
Let g = -2280 + 2290. Factor -5 - 25/4*x**2 + 5/4*x**3 + g*x.
5*(x - 2)**2*(x - 1)/4
Let d be (-2)/9 + 55/45. Find f, given that 7 - 22*f - 4 + 24*f**2 + 2*f**3 - 8*f**4 + d = 0.
-2, 1/4, 1
Let o(f) be the second derivative of -9*f**5/20 + 11*f**4/4 + 3*f**3 - 12*f**2 - 76*f. Factor o(y).
-3*(y - 4)*(y + 1)*(3*y - 2)
Let c(d) be the third derivative of -d**6/24 + d**5/6 + 5*d**4/8 + 19*d**2 - 1. Let c(q) = 0. Calculate q.
-1, 0, 3
Suppose 18*w - 300 = 12*w. Let o = w - 97/2. Factor -o*h**2 - 3*h - 3/2.
-3*(h + 1)**2/2
Let y = 50021/9 + -5557. Solve 0 - 2/9*s**2 + y*s = 0.
0, 4
Let o be (-6)/(-20)*9625/462. Factor 0 + 1/4*s - 5/2*s**2 + o*s**3.
s*(5*s - 1)**2/4
Let u(l) be the third derivative of -2*l**8/147 + 8*l**7/735 + 23*l**6/420 - l**5/35 - 3*l**4/28 - 579*l**2. Factor u(w).
-2*w*(w - 1)**2*(4*w + 3)**2/7
Factor 106*o**3 - 80*o - 142*o**3 + 15*o**2 + 4*o**4 + 81*o**2.
4*o*(o - 5)*(o - 2)**2
Let i be (4 - (-12)/(-4))*(0 - -3). Let d(v) be the third derivative of 0*v - 1/480*v**5 + 0 + 7*v**2 + 0*v**i - 1/96*v**4 + 1/960*v**6. Factor d(m).
m*(m - 2)*(m + 1)/8
What is f in 1259*f**3 + 948*f**2 + 351*f**4 + 579*f**3 + 39*f + 1348*f**3 - 507*f**5 + 33*f = 0?
-2, -2/13, 0, 3
Let p(z) = -z**5 - z**3. Suppose 0 = 8*c - 25 - 23. Let k(i) = 8*i**5 - 4*i**4 + 8*i**2 + 8*i. Let y(g) = c*p(g) + k(g). Factor y(m).
2*m*(m - 2)**2*(m + 1)**2
Let w(u) be the third derivative of u**6/360 + 2*u**5/45 + 13*u**4/72 + u**3/3 + 398*u**2. Factor w(n).
(n + 1)**2*(n + 6)/3
Let v = -135 - -135. Let l(n) be the second derivative of 0*n**2 - 9/80*n**5 + 1/12*n**3 + 13/120*n**6 - 5/168*n**7 + 2*n - 1/48*n**4 + v. Factor l(d).
-d*(d - 1)**3*(5*d + 2)/4
Let y = -88 + 90. Suppose 5*b - y = -0*g + g, 6 = -3*b - 3*g. Factor -3*i**2 - 9/2*i**3 + 0 + b*i - 3/2*i**4.
-3*i**2*(i + 1)*(i + 2)/2
Factor 0 - 2/7*u**2 + 8/7*u.
-2*u*(u - 4)/7
Let t(w) be the first derivative of -w**4/6 - 10*w**3/9 - 7*w**2/3 - 2*w + 40. Suppose t(g) = 0. What is g?
-3, -1
Let w(k) = 7*k - 20. Let n be w(8). Let m be 4/(-18) + 80/n. Factor 9/2 + 1/2*y**3 + 15/2*y + 7/2*y**m.
(y + 1)*(y + 3)**2/2
Let j(y) be the second derivative of y**6/600 - y**5/100 + y**4/60 + 11*y**2 - 41*y. Let k(l) be the first derivative of j(l). Factor k(d).
d*(d - 2)*(d - 1)/5
Let i(t) be the first derivative of 2*t**3/3 + 5*t**2 + 12*t + 37. Factor i(y).
2*(y + 2)*(y + 3)
Let j(x) be the first derivative of x**4/30 - x**3/15 + 22*x + 4. Let p(h) be the first derivative of j(h). Suppose p(i) = 0. Calculate i.
0, 1
Let v be -51*((-175)/(-30) - 4). Let u = -92 - v. Let 0 - 21/4*g**5 + u*g**2 - 9*g**4 - 9/4*g**3 + 0*g = 0. What is g?
-1, 0, 2/7
Let a be (5/(15/52))/((-2)/(-6)). Let i be (-48)/(-26) + (5 - 252/a). Factor o**3 + 0 + 0*o**i - 1/2*o**5 + 0*o**4 - 1/2*o.
-o*(o - 1)**2*(o + 1)**2/2
Suppose -3*l + 32 = -34