 - 3*b**3 + 13*b**2.
-3*b**2*(b + 3)
Suppose -5*s - 6 + 20 = 3*p, 0 = p + 2*s - 5. Let q be (-8)/54*p*-2. Determine j, given that 0*j - q + 2/9*j**2 = 0.
-2, 2
Let q(u) = 2*u**3 + 2*u**2. Let o(m) be the second derivative of -m**5/4 - 5*m**4/12 + 2*m. Let a(s) = -6*o(s) - 14*q(s). Let a(i) = 0. What is i?
-1, 0
Factor 3*x**2 + 4*x**4 - x - 15*x**2 + 3 - 3 - 7*x.
4*x*(x - 2)*(x + 1)**2
Let j(o) = 4*o**3 + 11*o**2 + 20*o + 3. Let z(g) = 6*g**3 + 17*g**2 + 30*g + 5. Let y(s) = 7*j(s) - 5*z(s). Factor y(f).
-2*(f + 1)**2*(f + 2)
Let a be 10 + (2 - 4) - (-6 + 14). Determine o so that a + 3/4*o**3 - 1/2*o + 1/4*o**4 - 1/4*o**5 - 1/4*o**2 = 0.
-1, 0, 1, 2
Suppose 9*i = 4*i + 10. Let v(d) = -d**2 + 16*d - 7. Let o be v(15). Factor -o*t**3 - 10*t**2 + 5*t**2 + 3*t**i.
-2*t**2*(4*t + 1)
Suppose 8*o - 6*o = 4. Suppose o*x = -2*x. Determine d so that x - 1/2*d**3 + 0*d + 0*d**2 = 0.
0
Let g be 0 - (2 + (-5)/(-10) + 0 + -4). Find p such that -3*p**4 - g*p + 0*p**3 + 3/2*p**5 + 0 + 3*p**2 = 0.
-1, 0, 1
Let p(f) = -6*f + 27. Let d be p(4). Let l(h) be the third derivative of 0*h + 6*h**2 + 0 - 1/27*h**d + 1/270*h**5 - 1/540*h**6 + 1/108*h**4. Factor l(v).
-2*(v - 1)**2*(v + 1)/9
Let g(s) = 4*s**2 - 38*s - 17. Let z be g(10). Let w(f) be the third derivative of -1/90*f**4 + 6*f**2 - 1/450*f**5 + 0*f + 0 + 0*f**z. Factor w(n).
-2*n*(n + 2)/15
Let h be (-63)/6 + 11 + (-2)/4. Factor 3/2*d - 9/8*d**3 - 3*d**2 + 27/8*d**4 + h.
3*d*(d + 1)*(3*d - 2)**2/8
Let l(y) = -3*y - 10. Let w be 136/(-51)*(-1)/((-4)/6). Let a be l(w). Suppose 2/5 + 12/5*r + 18/5*r**a + 8/5*r**3 = 0. Calculate r.
-1, -1/4
Let l = 8471/10 + -847. Factor -l*n**3 + 0 + 1/10*n + 0*n**2.
-n*(n - 1)*(n + 1)/10
What is l in -31*l**2 + 0*l**2 - 32*l - 18*l**3 + 3*l**2 + 12*l**3 + 10*l**3 = 0?
-1, 0, 8
Let o be 12/(-80)*(-14480)/350 - 4/(-50). Factor -t**3 - 75/7*t + o*t**2 + 18/7.
-(t - 3)**2*(7*t - 2)/7
Let d(f) be the third derivative of f**5/180 + f**4/18 + 2*f**3/9 + 127*f**2. Factor d(o).
(o + 2)**2/3
Let p be (-84)/(-36)*7/147. Suppose 3 - 13 = -5*s. Factor 2/9*m - p - 1/9*m**s.
-(m - 1)**2/9
Let i(j) be the first derivative of j**8/13440 - j**6/2880 + 20*j**3/3 + 19. Let x(n) be the third derivative of i(n). Factor x(v).
v**2*(v - 1)*(v + 1)/8
Let w be (1436/(-2154))/(4/(-2)). Factor -w*v - 2/3*v**2 + 1/3.
-(v + 1)*(2*v - 1)/3
Solve 0 + 1/2*k**3 + 43*k**2 - 87/2*k = 0 for k.
-87, 0, 1
Let j = -381 - -5716/15. Let t(z) be the first derivative of 2 - 3/5*z**2 + 9/5*z + j*z**3. Let t(f) = 0. What is f?
3
Let m(a) be the first derivative of -5*a**3/6 + 10*a**2 - 16. Determine f so that m(f) = 0.
0, 8
Factor -2*g**2 - 8/5 - 18/5*g.
-2*(g + 1)*(5*g + 4)/5
Let j(p) = 35*p**3 + 25*p**2 - 35*p - 25. Let d(u) = -3*u**3 - 2*u**2 + 3*u + 2. Suppose 6*n - 5 = 7. Let x(q) = n*j(q) + 25*d(q). Factor x(v).
-5*v*(v - 1)*(v + 1)
Suppose n + 2*x = -4, 10 = 2*n - 0*x - 2*x. Factor n*s**4 + 9*s + 287*s**3 - s - 293*s**3.
2*s*(s - 2)**2*(s + 1)
Suppose 0 = 3*w - 37*w. Let r(t) be the third derivative of 0*t - 2*t**2 + 1/30*t**6 + w*t**4 + 0*t**3 + 0*t**5 + 0. Let r(m) = 0. Calculate m.
0
Let g(d) be the third derivative of d**7/735 - 11*d**6/420 + d**5/21 - 70*d**2. Factor g(o).
2*o**2*(o - 10)*(o - 1)/7
Suppose 4*a = -0*a + 4. Suppose 5*k + 0*k - 15 = 0. Factor -b**k + b + 3*b**4 + 5*b**2 - a - 8*b**2 + 1.
b*(b - 1)*(b + 1)*(3*b - 1)
Let g(o) be the third derivative of o**7/560 + 129*o**6/160 + 16641*o**5/160 + 7*o**2 - 41*o. Let g(u) = 0. What is u?
-129, 0
Let p(i) be the third derivative of 6*i**2 + 11/180*i**6 + 0*i + 1/9*i**4 + 0 - 121/126*i**7 + 0*i**3 + 17/45*i**5. Factor p(a).
-a*(5*a - 2)*(11*a + 2)**2/3
Let i(u) be the third derivative of u**8/210 + u**7/175 - 13*u**6/300 - u**5/150 + 3*u**4/20 - 2*u**3/15 + 70*u**2. Suppose i(g) = 0. Calculate g.
-2, -1, 1/4, 1
Let f(q) = 20*q**4 - 15*q**3 - 25*q**2 + 30*q + 35. Let c(w) = w**4 + w + 1. Let t(s) = 15*c(s) - f(s). Factor t(h).
-5*(h - 4)*(h - 1)*(h + 1)**2
Let w(y) = -y + 7. Let j be w(6). Suppose s - 5 = 0, s = 2*m - j - 2. Factor -m*d**5 + d**5 + 6*d**2 - 7*d**2 + 4*d**5 + d**4 - d**3.
d**2*(d - 1)*(d + 1)**2
Let q(y) be the first derivative of 0*y**3 + 18 + 0*y**2 - 3/4*y**4 + 0*y. Let q(m) = 0. Calculate m.
0
Suppose 9/4 + 25/12*d**2 - 53/12*d + 1/12*d**3 = 0. Calculate d.
-27, 1
Let l be ((-10)/(-20))/((-13)/((-780)/165)). Determine s, given that -l*s - 1/11*s**2 + 0 = 0.
-2, 0
Let n be (((-27)/24)/9)/(15/(-6)). Let y(b) be the third derivative of -n*b**5 + 0*b + 0*b**3 + b**2 + 0 + 0*b**4. Factor y(p).
-3*p**2
Let t be ((-12)/(-30))/(132/110). Find n, given that -1/3*n**3 + 1/3*n**2 + t*n - 1/3 = 0.
-1, 1
Let -28623*v**2 - 38 - 2484*v + 16293*v**2 + 14 - 57154*v**2 - 16214*v**2 - 985527*v**3 = 0. What is v?
-2/69
Let c(p) be the first derivative of -8*p**4 + 8*p + 100/3*p**3 - 38*p**2 - 16. Factor c(v).
-4*(v - 2)*(v - 1)*(8*v - 1)
Suppose 0 = 5*i + v - 1 + 4, -12 = i + 4*v. Let u be 64/20 + i + -3. Suppose -o**2 + u*o + 3/5*o**3 + 1/5 = 0. What is o?
-1/3, 1
Let c(u) be the third derivative of 3/7*u**3 + 1/210*u**5 + 12*u**2 + 0 - 1/14*u**4 + 0*u. Determine h so that c(h) = 0.
3
Factor 196*v**2 - 2 - 198*v**2 + 7 - 4 - 10*v + 27.
-2*(v - 2)*(v + 7)
Let y(v) be the third derivative of 11/6*v**3 + 2/3*v**4 + 1/15*v**5 + 0 + 0*v + 15*v**2 + 1/360*v**6. Let b(d) be the first derivative of y(d). Factor b(w).
(w + 4)**2
Let u(s) = -7*s**2 + 2*s. Let t(x) = -12*x**2 + 3*x. Let o(d) = -d**2. Let f(r) = -6*o(r) + t(r). Let n(h) = -4*f(h) + 3*u(h). Determine c, given that n(c) = 0.
0, 2
Let j(i) = i. Let v(r) = 4*r - 20. Let n(k) = 5*j(k) + v(k). Let z be n(5). Factor -10*m**2 - 7 + z*m + 20*m**4 - 20*m**3 - 3 - m**5 - 4*m**5 + 0.
-5*(m - 2)*(m - 1)**3*(m + 1)
Let j(z) be the third derivative of -z**5/15 - 10*z**4/3 - 298*z**2. Factor j(m).
-4*m*(m + 20)
What is u in 32*u + 56*u**2 + 8*u**3 - 192*u**5 - 185*u**5 - 2*u**4 + 375*u**5 + 16*u**3 = 0?
-2, -1, 0, 4
Let h = -404 + 1617/4. Let x(q) be the first derivative of 1/6*q - 4 + h*q**2 + 1/24*q**4 + 1/6*q**3. Suppose x(m) = 0. What is m?
-1
Let h(l) = -l - 3. Let u be h(-6). Suppose -a = -0*a + 3*f - 11, u*a + 5*f = 21. Factor 6*c**3 + 2*c + 4*c**a + 2*c**4 + 2*c**2 + 0*c.
2*c*(c + 1)**3
Let p be -7 + 20754/48 - (-3)/(-8). Let z = p + -2969/7. Factor 1/7 - z*s + 5/7*s**2.
(s - 1)*(5*s - 1)/7
Find l, given that 298*l**2 + 57*l - 293*l**2 + 73*l - 600 = 0.
-30, 4
Let u be ((-13)/(-39))/(4/9). Let w(b) be the first derivative of 0*b + 2*b**3 + u*b**4 + 0*b**2 + 2. Factor w(p).
3*p**2*(p + 2)
Let o(b) be the first derivative of b**5/10 + 7*b**4/8 + 5*b**3/6 - 7*b**2/4 - 3*b + 218. Determine x, given that o(x) = 0.
-6, -1, 1
Let d be -2 + (-22)/4 + 2568/321. Factor 1/2 - l + d*l**2.
(l - 1)**2/2
Let k(d) be the first derivative of -d**4/28 + 4*d**3/3 + 31*d**2/14 - 58*d/7 - 870. Factor k(a).
-(a - 29)*(a - 1)*(a + 2)/7
Let m(a) be the third derivative of -a**7/735 + a**6/70 - 8*a**4/21 - 270*a**2 + 1. Factor m(x).
-2*x*(x - 4)**2*(x + 2)/7
Let w(h) be the first derivative of 4*h**5/5 + 4*h**4 + 4*h**3/3 - 12*h**2 + 263. Let w(x) = 0. Calculate x.
-3, -2, 0, 1
Let y(l) be the first derivative of -l**4/4 - 31*l**3/3 + 213*l**2/2 - 333*l - 237. Let y(d) = 0. What is d?
-37, 3
Let i = -105 + 105. Factor 4/3*w**2 - 2/3*w**4 + 0*w + i*w**3 - 2/3.
-2*(w - 1)**2*(w + 1)**2/3
Solve -6*s + 33*s - 9*s - 14*s**2 - 13*s + 30 + 5*s**3 - 6*s**2 = 0.
-1, 2, 3
Let x(i) be the first derivative of 16*i**5/25 + 6*i**4 + 41*i**3/15 - 57*i**2/5 - 63*i/5 - 62. What is p in x(p) = 0?
-7, -3/4, 1
Let c(t) be the third derivative of t**8/588 - 11*t**6/210 - 6*t**5/35 - 4*t**4/21 - 256*t**2. Solve c(k) = 0 for k.
-2, -1, 0, 4
Solve 5*v - 44*v**2 + 21*v**2 + 24*v**2 = 0.
-5, 0
Let f be (5 - 42/18)/(24/36). What is w in 0 + 2/3*w**3 + 2/3*w**2 + 2/9*w + 2/9*w**f = 0?
-1, 0
Let q(f) = -f**3 + 22*f**2 + 105*f - 24. Let p be q(26). Factor -2/7*m**p + 8/7*m + 10/7.
-2*(m - 5)*(m + 1)/7
Let t(d) = -d**3 + d - 1. Let m(i) = -2*i**5 + 13*i**3 - 4*i**2 - 7*i + 7. Let x(a) = -2*m(a) - 14*t(a). Suppose x(y) = 0. What is y?
-2, 0, 1
Let z(t) = 11*t**4 + 38*t**3 + 75*t**2 + 8*t - 116. Let a(i) = 4*i**4 + 13*i**3 + 25*i**2 + 3*i - 39. Let p(x) = 8*a(x) - 3*z(x). Solve p(o) = 0 for o.
-6, -3, -2, 1
Let w(z) be the third derivative of -z**8/2520 - 2*z