.
-1, 0
Let b(z) = -57*z - 16. Let a be b(12). Let y be a/(-1275) - (-2)/17. Factor -y*m**2 + 8/3*m**3 - 2*m**4 + 0 + 0*m.
-2*m**2*(m - 1)*(3*m - 1)/3
Let w(i) = 2*i - 4. Let g be w(3). Let 0 + 4/9*h - 2/9*h**g + 2/3*h**4 - 8/9*h**3 = 0. What is h?
-2/3, 0, 1
Factor 20/7*b**4 + 2/7*b**5 + 0 + 80/7*b**2 + 66/7*b**3 + 32/7*b.
2*b*(b + 1)**2*(b + 4)**2/7
Factor 272/9*f - 2/9 - 9248/9*f**2.
-2*(68*f - 1)**2/9
Suppose 0 = 2*c + 4*t - 14, 4*c - c - 3 = 3*t. Determine k so that -2083*k**2 + 4*k**3 - 2*k**c + 2087*k**2 = 0.
-2, 0
Let k(v) be the third derivative of -2*v**3 + 0*v + 0 - 5/8*v**4 - 14*v**2 - 1/20*v**5. Suppose k(z) = 0. What is z?
-4, -1
Let o(z) = 2*z**2 - 1. Let t(l) = 12*l**3 + 12*l**2 - 108*l - 74. Let x(r) = 2*o(r) - t(r). Factor x(j).
-4*(j - 3)*(j + 3)*(3*j + 2)
Let c = 49 - 47. Determine s, given that -5*s**c - 49 - 50*s + s**3 + 4*s**3 + 9 = 0.
-2, -1, 4
Let k(d) = d**3 - 8*d**2 - 8*d - 7. Let c be k(9). Suppose -14 = -3*y - 2, 4*j - 16 = -c*y. Factor 0 + 15/4*f**j + 3/4*f - 27/4*f**4 + 9/4*f**3.
-3*f*(f - 1)*(3*f + 1)**2/4
Find j such that 0*j**2 + 0 - 8/3*j**3 + 0*j - 10/3*j**5 - 8*j**4 = 0.
-2, -2/5, 0
Let h(a) be the third derivative of a**6/300 - 8*a**5/25 + 35*a**4/4 + 250*a**3/3 + 137*a**2. Factor h(u).
2*(u - 25)**2*(u + 2)/5
Let t = 678 - 674. Let a(z) be the first derivative of 5/2*z**3 + 21/4*z**2 + 9/2*z + 3/8*z**t + 7. Factor a(m).
3*(m + 1)**2*(m + 3)/2
Let w(v) be the third derivative of 0*v - 1/100*v**6 + 0*v**4 + 0*v**3 - 5 - 3*v**2 + 1/525*v**7 + 1/75*v**5. Find h, given that w(h) = 0.
0, 1, 2
Let m(j) = 2*j**2 + j + 1. Let x(z) = 3*z**3 - 33*z**2 - 24*z + 24. Let h(g) = -12*m(g) - x(g). Solve h(k) = 0.
-2, 2, 3
Let i(q) be the first derivative of -44 + 2/9*q**2 + 16/9*q - 2/27*q**3. Suppose i(h) = 0. What is h?
-2, 4
Let p(k) be the second derivative of 2/35*k**5 - 5*k - 1/35*k**6 + 1/42*k**4 + 0*k**2 - 2/21*k**3 + 0. Factor p(z).
-2*z*(z - 1)**2*(3*z + 2)/7
Let m = 6 - 4. Factor 7*s + 1 - s**2 + s**3 + 0*s**3 + 6*s**2 + m.
(s + 1)**2*(s + 3)
Let n(u) be the third derivative of -u**5/480 + u**4/48 - 44*u**2. Solve n(y) = 0.
0, 4
Let a(g) = -2*g**3 - 9*g**2 + 8*g + 5. Let n be a(-5). Let w be 6 + n/((-200)/(-105)). Factor -3/2*t - 9/4 + w*t**2.
3*(t - 3)*(t + 1)/4
Suppose 5*h + 2*r + 14 = 0, h + 3*h - 2*r + 4 = 0. Let q be (1/h)/(5/(4 - 24)). Find a such that -12/11*a**q - 8/11*a**3 - 2/11*a**4 - 8/11*a - 2/11 = 0.
-1
Factor 4/11*q + 1/11*q**2 - 5/11.
(q - 1)*(q + 5)/11
Suppose -26*q**4 + 21*q**5 - q**2 + 10*q**3 - q**2 + 12*q**4 - 15*q**5 = 0. Calculate q.
0, 1/3, 1
Let p = 114 - 197. Let q = 149 + p. Factor -13*u**3 - 73*u**3 + 75*u + 6*u**3 - q*u**2 - 54*u**2 - 10.
-5*(u + 2)*(4*u - 1)**2
Let k be (-15)/25*((-582)/48 - -9). Factor -9/4 + 51/8*t - k*t**2.
-3*(t - 3)*(5*t - 2)/8
Let s = 4991/1109 + -1/2218. What is z in 3/2 + 21/8*z**3 - 27/8*z**2 - s*z = 0?
-1, 2/7, 2
Let y(b) be the second derivative of b**6/40 + 9*b**5/80 + b**4/16 - 3*b**3/8 - 3*b**2/4 + 7*b - 15. Suppose y(g) = 0. What is g?
-2, -1, 1
Let t(y) = -7*y**3 + 11*y**2 - 9*y - 15. Let f(x) = 13*x**3 - 23*x**2 + 18*x + 33. Let v(s) = -4*f(s) - 7*t(s). Factor v(h).
-3*(h - 3)**2*(h + 1)
Suppose 0 = 6*o - 13 - 5. Let s(p) be the third derivative of -1/735*p**7 + 0*p + 0 - o*p**2 - 1/588*p**8 + 0*p**4 + 0*p**3 + 1/420*p**6 + 0*p**5. Factor s(t).
-2*t**3*(t + 1)*(2*t - 1)/7
Let p be (-16)/(-20)*10/4. Suppose 4*l + 1 = 5*o - 9, 4*o = p*l + 8. Factor 9/4*c**4 - 1/2*c**o - 2 - 21/4*c**3 + 5*c.
(c - 2)*(c + 1)*(3*c - 2)**2/4
Let m(l) be the third derivative of -l**8/1344 + l**7/42 - 59*l**6/240 + 3*l**5/4 - 27*l**4/32 + 16*l**2. Let m(g) = 0. Calculate g.
0, 1, 9
Factor 13/6 + 1/6*j**2 - 7/3*j.
(j - 13)*(j - 1)/6
Suppose 9*j - 86 = 22. Let v be 1 - 5/(5/(-3)). Factor j*u**3 + 24*u**2 - 24*u**3 - 16*u + 0 + 2*u**v + 0.
2*u*(u - 2)**3
Let t be (-1 - (-1 - 3)) + -1. Suppose -2 = p + 1, -t*p = 3*r - 3. What is a in -13 - 7 + 4*a**2 + 8*a - 2*a**r + 4 = 0?
-2, 2
Let w(z) be the second derivative of z**7/315 + z**6/72 - z**5/60 - 39*z**2/2 - 7*z. Let s(n) be the first derivative of w(n). Factor s(c).
c**2*(c + 3)*(2*c - 1)/3
Suppose -t + 0*a + 8 = -3*a, -1 = a. Suppose 8 = -t*u - 3*f + 28, u + 3*f - 4 = 0. Factor 28*x - 28*x + 4*x**5 + 6*x**u + 2*x**3.
2*x**3*(x + 1)*(2*x + 1)
Suppose 0 = -3*h + 97 - 70. Let q(t) = -t**3 + 11*t**2 - 18*t + 2. Let o be q(h). Factor 0 - 2/3*v**o + 0*v.
-2*v**2/3
Let o(x) be the first derivative of -x**4/7 - 304*x**3/21 - 2888*x**2/7 + 147. Factor o(q).
-4*q*(q + 38)**2/7
Let r(y) be the third derivative of -y**6/40 + y**5/60 + y**4/6 - 9*y**2. Let i(t) = -48*t**3 + 15*t**2 + 63*t. Let j(k) = 2*i(k) - 33*r(k). Factor j(z).
3*z*(z - 2)*(z + 1)
Let m(b) be the first derivative of -2*b**3/3 - 498*b**2 - 124002*b - 54. Factor m(g).
-2*(g + 249)**2
Let k be (-4 + -5)/90 + (-45)/(-50). Suppose 5*v - 26 = -1. Suppose -12/5*m**2 - k*m**3 + 2/5*m**v + 2/5*m + 6/5 + 6/5*m**4 = 0. What is m?
-3, -1, 1
Let r be ((44/7)/11)/((-18)/(-21)). Let x(q) be the first derivative of 4/3*q + 6 - r*q**2 - 13/9*q**3 - 5/12*q**4. Factor x(c).
-(c + 1)*(c + 2)*(5*c - 2)/3
Let k(w) be the first derivative of -w**3/9 - w**2/2 + 4*w/3 - 208. Determine j, given that k(j) = 0.
-4, 1
Let u(k) be the second derivative of k**7/28 - 3*k**5/10 - k**4/4 + 3*k**3/4 + 3*k**2/2 + 57*k - 2. Find o such that u(o) = 0.
-1, 1, 2
Suppose -7*g + 214 + 388 = 0. Let s = g - 257/3. Factor -1/3*y + 2/3*y**3 - s*y**4 - 1/3*y**5 - 1/3 + 2/3*y**2.
-(y - 1)**2*(y + 1)**3/3
Suppose -c - 114 = 4*m, -2*m = -3*c + 42 + 8. Let o be ((-4)/(-21))/((-24)/m). Find y such that -32/9 + 16/9*y - o*y**2 = 0.
4
Let g(m) be the first derivative of m**6/12 + 2*m**5/5 - 5*m**3/3 - m**2/4 + 3*m - 721. What is w in g(w) = 0?
-3, -2, -1, 1
Suppose 0 = -n - 3*r + 6, 4*r = 5*n + r - 12. Suppose -3*g + 5 = 4*u - 20, g + 2*u - 11 = 0. Factor f**2 - f**4 - f**3 + 3*f + f**3 - g*f**n.
-f*(f - 1)*(f + 1)*(f + 3)
Let u(n) be the third derivative of n**6/600 - n**5/60 - 2*n**2 + 12. Suppose u(c) = 0. What is c?
0, 5
Let y(f) = f**3 + 7*f**2 - 18*f + 8. Let o be y(-9). Solve -32 + o*d**2 + 5*d**4 - 33*d**2 + 52 = 0 for d.
-2, -1, 1, 2
Let 10 + 3*t**2 + 24*t + 11 + 3*t**5 - 15*t**3 - 9 - 3*t**4 = 0. What is t?
-1, 2
Let p(h) = h**2 - 7*h + 9. Let t be p(6). Factor -34*o**3 + 7*o**5 + 9*o**4 + 8 - t*o**4 + 3*o**5 - 33*o**2 - 5*o**2.
2*(o - 2)*(o + 1)**3*(5*o - 2)
Let g be (3 - 52/16) + 6/(-8). Let r be (2 + (-15)/6 + 0)/g. Let -2*c**3 - 3*c**2 - r + 5/2*c + 4*c**4 = 0. What is c?
-1, 1/2
Let u(g) be the third derivative of -g**7/42 + g**6/3 - 17*g**5/12 + 25*g**4/12 - g**2 + 233. Determine h so that u(h) = 0.
0, 1, 2, 5
Factor -14/5*o**3 + 18/5*o**2 + 0 - 4/5*o.
-2*o*(o - 1)*(7*o - 2)/5
Let d(g) be the third derivative of -g**10/30240 - g**9/15120 - 3*g**4/8 - 4*g**2. Let c(u) be the second derivative of d(u). Find t, given that c(t) = 0.
-1, 0
Let w be 70/420 - 116/(-168). Let r = 1/142 + 419/994. Factor 3/7 - w*v + r*v**2.
3*(v - 1)**2/7
Let r(v) be the second derivative of 3/4*v**4 + 0 - 13*v + 3*v**2 + 5/2*v**3. Suppose r(z) = 0. Calculate z.
-1, -2/3
Let b(r) be the first derivative of r**4/6 - 16*r**3/9 + 7*r**2/3 + 110. Factor b(v).
2*v*(v - 7)*(v - 1)/3
Let x(m) be the first derivative of 2*m**3/3 + 92*m**2 + 4232*m - 62. Find d, given that x(d) = 0.
-46
Let m(b) be the third derivative of 1/54*b**4 + 1/945*b**7 + 0*b - 2*b**2 + 0*b**3 + 1/54*b**5 + 0 + 1/135*b**6. Factor m(d).
2*d*(d + 1)**2*(d + 2)/9
Let j(l) = l**2 - 11*l - 29. Let b be j(13). Let z be b + 1*(-12)/(-2). Find p such that -6*p**5 + 9*p**5 - 2*p**5 + z*p**5 = 0.
0
Let d(m) be the first derivative of -2*m**3/21 + 8*m**2/7 + 66*m/7 + 409. Solve d(h) = 0.
-3, 11
Let p(b) = -13*b**4 - 35*b**3 + 6*b**2 + 7*b - 7. Let z(k) = k**4 + 4*k**3 - k**2 - k + 1. Let c(q) = -2*p(q) - 14*z(q). Let c(l) = 0. What is l?
-1, -1/6, 0
Suppose -63*m + 27*m + 72 = 0. Let f(h) be the third derivative of -2*h**m - 1/30*h**5 + 0*h + 1/12*h**4 + 0 + 0*h**3. Factor f(i).
-2*i*(i - 1)
Let a(m) be the second derivative of 1/90*m**5 - 1/27*m**3 + 2/9*m**2 - 5/54*m**4 + 1/45*m**6 + 0 + 40*m. Find u such that a(u) = 0.
-1, 2/3, 1
Solve 0*s + 9/7*s**3 + 1/7*s**5 + 0 + 0*s**2 - 10/7*s**4 = 0.
0, 1, 9
Suppose 3*f = f + 4. Suppose -4*i + 5 = -5*m - i, 5*m = f*i. Solve o*