*4 + 0*h**3. Suppose o(n) = 0. What is n?
-1, -2/9, 0
Determine m, given that 0 + 10*m - 73/3*m**4 - 167/3*m**2 + 206/3*m**3 + 4/3*m**5 = 0.
0, 1/4, 1, 2, 15
Let t(o) = 65*o**3 + 370*o**2 + 6075*o + 10950. Let k(y) = 2*y**3 + y**2 - y + 2. Let f(r) = 30*k(r) - t(r). Let f(p) = 0. Calculate p.
-33, -2
Let m(i) = -i**2 - 9*i + 4. Let r(w) = -w**2 - 10*w + 6. Let k(u) = -5*m(u) + 4*r(u). Factor k(j).
(j + 1)*(j + 4)
Suppose 87*r = -22*r + 9*r + 12*r. Factor 1/3*p**2 + 2/3*p + r.
p*(p + 2)/3
Let u(j) be the third derivative of -1/42*j**7 + 5/8*j**4 + 5/3*j**3 - 1/12*j**5 + 0 - 1/8*j**6 + 0*j - 14*j**2. Solve u(b) = 0 for b.
-2, -1, 1
What is i in 17 + 11 + 2*i + 2*i**2 - 32 = 0?
-2, 1
Let o(z) be the second derivative of z**7/630 - z**6/180 + z**5/180 + 39*z**2/2 + 3*z. Let v(y) be the first derivative of o(y). Factor v(x).
x**2*(x - 1)**2/3
Let m(k) be the second derivative of 7*k**4/18 - 86*k**3/9 + 8*k**2 + 83*k. Factor m(b).
2*(b - 12)*(7*b - 2)/3
Let a(b) = b**3 - 7*b**2 + 9*b - 15. Let h be a(6). Suppose 5*r - r + 7 = -h*c, 4*c + 18 = -r. Factor -s - 7*s - s**r - 3*s**2.
-4*s*(s + 2)
Suppose 0 - 3/7*h**4 + 12/7*h**3 - 3/7*h**2 - 18/7*h = 0. Calculate h.
-1, 0, 2, 3
Suppose -4*a = -2*s - 12, 3*s - 2*s = 0. Factor 5*m**5 + 28*m**4 + 4*m**2 + 68*m**3 + 7*m**5 - 48*m**a.
4*m**2*(m + 1)**2*(3*m + 1)
Let v(u) be the third derivative of u**6/60 - 7*u**5/60 - 17*u**4/24 + 5*u**3/3 + 4*u**2 - 7. Factor v(j).
(j - 5)*(j + 2)*(2*j - 1)
Let x(o) be the first derivative of o**8/1050 - o**6/300 + o**5/300 + 7*o**3 - 10. Let r(h) be the third derivative of x(h). Suppose r(v) = 0. Calculate v.
-1, 0, 1/2
Let p(k) be the first derivative of -1/12*k**3 - 9/4*k - 2 + 3/4*k**2. Factor p(y).
-(y - 3)**2/4
Let v(s) be the second derivative of s**5/4 - 25*s**4/3 - 13*s. Factor v(l).
5*l**2*(l - 20)
Let p(q) be the second derivative of q**7/189 - q**6/45 + 2*q**4/27 - 37*q. Let p(x) = 0. What is x?
-1, 0, 2
Suppose 32*a - 12 = 29*a. Let g be (-5)/a*9/(-60)*2. Factor 3/8*h**2 - g*h - 3/4.
3*(h - 2)*(h + 1)/8
Let f(p) be the first derivative of -7*p - 4*p**2 - 1/3*p**3 - 31. Factor f(n).
-(n + 1)*(n + 7)
Suppose 14 = -5*u + 2*w, -4*u + w = 4*w + 2. Let d = u - -6. Factor -31*y**2 + 29*y**2 - 2*y**4 + 0*y**4 + d*y**3.
-2*y**2*(y - 1)**2
Let h(o) be the first derivative of -o**4/16 + 73*o**3/12 + 37*o**2/4 - 258. Factor h(p).
-p*(p - 74)*(p + 1)/4
Let q(x) be the third derivative of -x**5/330 + 47*x**4/132 + 16*x**3/11 + 574*x**2. Factor q(k).
-2*(k - 48)*(k + 1)/11
Let q(j) be the third derivative of j**8/2016 - j**7/1260 - 43*j**6/360 - 121*j**5/180 - 235*j**4/144 - 77*j**3/36 + 586*j**2. Determine p, given that q(p) = 0.
-7, -1, 11
Let q(p) be the first derivative of 2*p**7/105 + p**6/15 + p**5/15 - 5*p**2/2 - 1. Let n(d) be the second derivative of q(d). Factor n(j).
4*j**2*(j + 1)**2
Let m(b) be the second derivative of b**6/90 - b**5/30 - b**4/9 + 4*b**3/9 + b - 15. Solve m(d) = 0.
-2, 0, 2
Let z be 60/8*13/65. Determine x, given that -3/2*x**5 + 0 + z*x - 3*x**4 + 0*x**3 + 3*x**2 = 0.
-1, 0, 1
Let o(l) be the second derivative of 4/9*l**2 + 0 + 1/90*l**5 - 1/3*l**3 + 1/36*l**4 + 32*l. Determine a so that o(a) = 0.
-4, 1/2, 2
Suppose -519*o + 521*o + 284 = 0. Let c = -130 - o. Solve -c*k**2 - 16/3 - 2/3*k**4 + 40/3*k + 14/3*k**3 = 0 for k.
1, 2
Let c(k) be the second derivative of -4/51*k**3 + 0*k**2 - 3/85*k**6 + 0 - 2*k - 21/170*k**5 - 8/51*k**4. Factor c(v).
-2*v*(v + 1)*(3*v + 2)**2/17
Let v be (-4)/1*(-6 - 0). Let b be (v/20)/3*5. Factor m**b + 1 - 3 + m + 0*m**2.
(m - 1)*(m + 2)
Let s(n) be the third derivative of 2*n**7/735 - n**6/210 - 3*n**5/35 - 11*n**4/42 - 8*n**3/21 + 40*n**2. Determine t, given that s(t) = 0.
-1, 4
Let d(m) be the first derivative of -m**4/8 - 113*m**3/6 + 229*m**2/4 - 115*m/2 - 270. Factor d(c).
-(c - 1)**2*(c + 115)/2
Let r(m) be the first derivative of -1/34*m**4 + 3/17*m**2 - 4/17*m - 11 + 0*m**3. Let r(g) = 0. Calculate g.
-2, 1
Factor -2*c**2 - 939*c + 8 + 470*c + 463*c.
-2*(c - 1)*(c + 4)
Let b(f) be the second derivative of -f**4/9 + 16*f**3/9 - 10*f**2 + 3*f - 12. Factor b(z).
-4*(z - 5)*(z - 3)/3
Suppose 13 = q - 2*q - 4*x, -4*q + 5*x = -32. Factor 17 - 36*b - 4*b**3 + 12*b**2 + q + 3*b**3 + 5*b**3.
4*(b - 1)**2*(b + 5)
Suppose 5*g = 3*t + 13, -8*t + 6*t + 8 = 5*g. Let i(q) be the third derivative of -5*q**g + 0 + 0*q**3 + 0*q + 1/480*q**6 - 1/120*q**5 + 1/96*q**4. Factor i(l).
l*(l - 1)**2/4
Let l = 359/315 + 1/315. Factor l*d**2 + 2/7*d**5 + 2/7*d + 0 + 12/7*d**3 + 8/7*d**4.
2*d*(d + 1)**4/7
Let b be ((-20)/12 - (-6)/9)*-73. Let d be (2 + 1)*(b/(-15) + 5). Suppose 6/5*p + d*p**2 - 8/5 = 0. What is p?
-4, 1
Let w(g) be the third derivative of -g**5/300 + g**4/15 - g**3/2 + 72*g**2. Find i, given that w(i) = 0.
3, 5
Suppose 5*p + 51*p - 106 = 6. Solve -18/11 - 48/11*b - 32/11*b**p = 0.
-3/4
Let m(y) = -y. Let k be m(-11). Let h = -7 + k. Factor -4*q**2 + 4*q**4 - 7*q**4 + 2*q**2 + 12*q**3 - h*q**2 - 12*q + 9.
-3*(q - 3)*(q - 1)**2*(q + 1)
Let z = 12363/5 + -2469. Factor 3/5*t**3 - 24/5 + 36/5*t - z*t**2.
3*(t - 2)**3/5
Let n(d) be the second derivative of -d**4/22 - 8*d**3/11 + 36*d. Let n(i) = 0. Calculate i.
-8, 0
Let d(a) = a**2 - 31*a + 8. Let y(u) = u**2 - 30*u + 6. Let k(p) = -3*d(p) + 4*y(p). Let j(r) = -12*r**2 + 296*r. Let x(c) = -3*j(c) - 32*k(c). Factor x(v).
4*v*(v - 6)
Let k = -2/49 - -33/2009. Let p = k + 208/123. Factor 1/3*i + 2/3 + 2/3*i**3 - p*i**2.
(i - 2)*(i - 1)*(2*i + 1)/3
Let v(h) be the second derivative of -h**4/12 + 7*h**3/6 + 22*h**2 + 2*h - 16. Factor v(k).
-(k - 11)*(k + 4)
Let i(h) be the second derivative of -h**4/4 - 75*h**3 - 16875*h**2/2 - 59*h - 2. Solve i(z) = 0.
-75
Factor -8/5*s - 4/5*s**2 + 12.
-4*(s - 3)*(s + 5)/5
Factor 3/5 + 144/5*q + 1728/5*q**2.
3*(24*q + 1)**2/5
Suppose 0 = 5*o - 60. Let b = 16 - o. Determine p so that -2/7*p**b + 2/7*p**2 + 0*p**3 + 0 + 0*p = 0.
-1, 0, 1
Let i(z) be the second derivative of -11*z**8/336 - 4*z**7/35 - z**6/8 - z**5/30 + 4*z**2 + 29*z. Let r(w) be the first derivative of i(w). Factor r(p).
-p**2*(p + 1)**2*(11*p + 2)
Let u(i) = 11*i**2 - 538*i + 24843. Let b(z) = -2*z**2 - 2*z. Let n(y) = 4*b(y) + u(y). Find t such that n(t) = 0.
91
Let p(b) be the first derivative of -12 - 18*b**5 - 45*b**4 + 8 + 3*b**2 - 11*b**2 - 2*b**5 - 32*b**3. Determine d, given that p(d) = 0.
-1, -2/5, 0
Let b(q) be the third derivative of -q**9/15120 + q**7/4200 - 7*q**3 - 14*q**2. Let u(o) be the first derivative of b(o). Find w such that u(w) = 0.
-1, 0, 1
Let m(h) be the first derivative of -h**6/3 + 16*h**5/5 - 11*h**4 + 56*h**3/3 - 17*h**2 + 8*h - 584. Suppose m(j) = 0. What is j?
1, 4
Let n(q) be the first derivative of -4*q**3/3 + 12*q**2 + 108*q + 127. Factor n(a).
-4*(a - 9)*(a + 3)
Let w = 71 + -72. Let q be w + (-22)/(-6) + -2. Determine o so that -2*o**2 + 8/3*o**3 - q*o + 1/3 + 5/3*o**4 - 2*o**5 = 0.
-1, -1/2, 1/3, 1
Let a be 1 - -5 - 3333/594. Let g(n) be the first derivative of 0*n**2 - 1/9*n**6 - a*n**4 - 4/27*n**3 - 16/45*n**5 + 1 + 0*n. Factor g(x).
-2*x**2*(x + 1)**2*(3*x + 2)/9
Suppose 91/6*h**2 + 101/3*h**3 - 56/3*h + 10/3 - 7/2*h**4 = 0. What is h?
-1, 2/7, 1/3, 10
Let h(i) be the third derivative of i**7/1680 + i**6/120 + i**5/20 - 2*i**4/3 + 5*i**2. Let a(q) be the second derivative of h(q). Solve a(y) = 0 for y.
-2
Let x(y) be the third derivative of -y**7/2520 - y**6/720 + 5*y**4/24 - 14*y**2. Let s(p) be the second derivative of x(p). Determine t so that s(t) = 0.
-1, 0
Let a(p) = p**3 - 8*p**2 + 9*p - 13. Let o be a(7). Let q(h) = -6*h**2 + 14*h. Let t(j) = j**2 - j. Let i(c) = o*q(c) + 4*t(c). Find m such that i(m) = 0.
0, 5
Let z = -31 + 34. Let q be (20/8 - z) + 2/4. Solve 0*l + 0 + 1/4*l**4 + q*l**2 + 1/4*l**3 = 0 for l.
-1, 0
Let f(z) be the third derivative of -z**7/735 - z**6/84 + z**5/15 + z**2 + 22*z. Factor f(x).
-2*x**2*(x - 2)*(x + 7)/7
Let j(k) be the first derivative of -k**5 + 5*k**4/4 - 8. Factor j(v).
-5*v**3*(v - 1)
Suppose -6*x + 36 = -4*x + 3*v, -v = -4*x + 44. Let p be (-4)/(-10) - 36/(-10). Suppose -12*f - f**2 + 0*f**2 + x + p*f**2 = 0. What is f?
2
Find t, given that -12/19*t - 10/19 - 2/19*t**2 = 0.
-5, -1
Let f(v) be the second derivative of -3/4*v**2 + 1/6*v**3 + 1/24*v**4 + 0 - 6*v. Factor f(s).
(s - 1)*(s + 3)/