 t - 9. Let x(z) = 0. Calculate z.
0, 2
Let n be ((-110)/(-20))/((-33)/(-45)). Determine b, given that 0*b - 5/2*b**5 + n*b**4 - 15/2*b**2 + 0 + 5/2*b**3 = 0.
-1, 0, 1, 3
Let s(x) be the first derivative of -12*x**3 + 22*x**2 - 8*x + 177. Determine h, given that s(h) = 0.
2/9, 1
Let a(g) = -3*g**2 - 8*g + 3. Let n(i) be the first derivative of 2*i**3/3 + 2*i**2 - i + 20. Let o(w) = 3*a(w) + 5*n(w). Solve o(y) = 0.
2
Let y(q) be the third derivative of q**5/450 - 11*q**4/180 - 4*q**3/3 - 419*q**2. Factor y(v).
2*(v - 15)*(v + 4)/15
Let g = -2493/4 - -1247/2. Determine t, given that 0 - g*t**2 - 1/2*t = 0.
-2, 0
Let v(c) be the third derivative of c**5/8 - 13*c**4/24 + 2*c**3/3 + 6*c**2 - 9. Factor v(a).
(3*a - 4)*(5*a - 2)/2
Suppose b - 32 = 4*g - 3*b, -2*g - 4*b + 14 = 0. Let h be (-5)/1*g - -1. Find k, given that 18*k + 12*k**4 - 4 + k**2 - h*k**3 - 2*k - 9*k**2 = 0.
-1, 1/3, 1
Let s = 92 - 278. Let k = -184 - s. Factor 0 + 2/19*c**k + 2/19*c.
2*c*(c + 1)/19
Let o(t) be the third derivative of 16*t**5/45 - 13*t**4/18 - 2*t**3/3 - 22*t**2 + 3*t. Factor o(g).
4*(g - 1)*(16*g + 3)/3
Factor 5*y**4 - 5*y**3 - 45*y**3 - 326*y**2 - 180*y + 491*y**2.
5*y*(y - 4)*(y - 3)**2
Factor 2/7*w**3 - 10/7*w**2 + 2*w - 6/7.
2*(w - 3)*(w - 1)**2/7
Let b = 741 + -734. Let i(q) be the first derivative of -1/5*q**5 - 1/2*q**4 + 0*q**3 - b + 0*q**2 + 0*q. Factor i(k).
-k**3*(k + 2)
Let z(n) = -n**2 + 7*n - 9. Let d be z(4). Solve -2*q + 12*q - q + 18*q + d*q**3 + 18*q**2 = 0.
-3, 0
Let t be ((-33)/(-4))/((-7)/28). Let z = -26 - t. Factor -4*h**5 - 6*h**4 - 13*h**2 + z*h**5 + 19*h**2 - 3*h**3.
3*h**2*(h - 2)*(h - 1)*(h + 1)
Suppose -3*n - n - 5*z + 10 = 0, 3*n + 5*z - 10 = 0. Let l be 4 + n + -1 - -2. Solve 4*t + 3*t**5 - 4*t**l + 6*t**3 - 5*t - 4*t**3 = 0 for t.
-1, 0, 1
Let o(l) = -6*l + 45. Let x be o(7). Let -83*q**x + 68*q - 505*q**2 + 3*q**3 - 360 + 1342*q + 35*q**4 = 0. What is q?
-4, 2/7, 3
Let v(m) be the second derivative of m**7/280 - m**6/120 - m**5/20 + m**3/2 - 11*m. Let l(d) be the second derivative of v(d). Determine n, given that l(n) = 0.
-1, 0, 2
Let q(c) be the third derivative of 0 + 1/300*c**5 - 3*c**2 + 2/15*c**3 + 0*c - 1/24*c**4. Find i, given that q(i) = 0.
1, 4
Suppose -23*r = 95*r. Let t(f) be the second derivative of -1/6*f**4 + f**2 + 0 + 4*f + r*f**3. Determine z so that t(z) = 0.
-1, 1
Let r(o) be the third derivative of -o**7/70 + o**6/20 - o**5/20 + 3*o**2 - 4*o. Factor r(t).
-3*t**2*(t - 1)**2
Determine q, given that 2/5*q**4 + 0*q + 0 + 8/5*q**2 + 8/5*q**3 = 0.
-2, 0
Suppose k + 10 = 4*l, 0 = -5*k + 4 + 6. Determine z so that 8*z + 96*z**3 + 20*z**2 - 26*z**l - 54*z**3 + 4*z**4 = 0.
-2, -1, 0
Suppose -235/2*i**2 + 5/2*i**3 + 0 + 115*i = 0. What is i?
0, 1, 46
Suppose 5*j + 22 - 2 = 0, 5*w = 2*j - 37. Let s be (2/(-36) - 0) + (-2)/w. Factor -7/6*b - s*b**3 + 5/6*b**2 + 1/2.
-(b - 3)*(b - 1)**2/6
Factor -7*t + 11*t**3 - 2*t**3 - 4*t**3 + 2*t.
5*t*(t - 1)*(t + 1)
Let p(z) be the second derivative of -z**7/126 + 7*z**6/90 - 19*z**5/60 + 25*z**4/36 - 8*z**3/9 + 2*z**2/3 + 142*z. Factor p(d).
-(d - 2)**2*(d - 1)**3/3
Let i(b) = -3*b**2 + b + 4. Let f(k) = 13*k**2 - 5*k - 17. Let r be -2 - (4 - 0 - -3). Let g(h) = r*i(h) - 2*f(h). Factor g(x).
(x - 1)*(x + 2)
Let g = 63 - 184/3. Let z = 33 + -33. Factor 1/3*k**4 + 7/3*k**2 + z + k + g*k**3.
k*(k + 1)**2*(k + 3)/3
Determine t so that -54/19 - 2/19*t**2 + 24/19*t = 0.
3, 9
Factor 102/5*v - 26/5 + 8/5*v**2.
2*(v + 13)*(4*v - 1)/5
Solve -79507/5 + 1/5*n**3 + 5547/5*n - 129/5*n**2 = 0 for n.
43
Let g(m) = 5*m**2 - 249*m - 524. Let d(n) = 70*n**2 - 3485*n - 7335. Let q(k) = -6*d(k) + 85*g(k). Factor q(z).
5*(z - 53)*(z + 2)
Factor 2/7*b**2 - 50/7*b + 0.
2*b*(b - 25)/7
Suppose 13*g = -13*g + 130. Let p(i) be the third derivative of 1/18*i**4 - 1/3*i**3 + 3*i**2 - 1/270*i**g + 0 + 0*i. Find l such that p(l) = 0.
3
Let x = 78 + -76. Let 302*k**3 + 78*k**3 - 11 - 11 - 100*k**4 - 10 + 208*k - 456*k**x = 0. What is k?
2/5, 1, 2
Factor -128/7 - 4/7*l**3 - 48/7*l**2 - 144/7*l.
-4*(l + 2)**2*(l + 8)/7
Let a(g) = 45*g**3 - 1790*g**2 + 22815*g - 98760. Let o(z) = -5*z**3 + 199*z**2 - 2535*z + 10973. Let q(y) = 4*a(y) + 35*o(y). Factor q(i).
5*(i - 13)**3
Let f(k) be the second derivative of -k**5/60 - 11*k**4/9 - 43*k**3/18 + k + 12. Suppose f(i) = 0. Calculate i.
-43, -1, 0
Let f(o) be the third derivative of o**7/3780 + o**6/540 + o**5/180 - o**4/6 - 13*o**2. Let y(l) be the second derivative of f(l). Factor y(j).
2*(j + 1)**2/3
Let l = 12 - 8. Let m(u) = 3*u**2 - 3*u + 4. Let c(g) = -9 - 106*g**2 + 99*g**2 + g + 6*g. Let o(y) = l*c(y) + 9*m(y). Solve o(r) = 0.
0, 1
Suppose -l - 4 = 0, 2*r + 20 = 4*l + 52. Let k(p) be the first derivative of -2/3*p**3 + r*p - 6 + 0*p**2. Factor k(q).
-2*(q - 2)*(q + 2)
Let l(r) = r**3 + 25*r**2 - 445*r - 33. Let u be l(-37). Suppose -14/15*s**u + 4*s**2 + 8/3*s - 2/3*s**3 - 16/15 = 0. What is s?
-2, -1, 2/7, 2
Let b be 0/((1 - -2)/(-1)). Let n(l) be the second derivative of -1/15*l**6 + 0 + 6*l + 0*l**5 + b*l**2 + 1/6*l**4 + 0*l**3. Solve n(c) = 0.
-1, 0, 1
Let y(t) be the first derivative of 2*t**3/3 - 49*t**2/4 + 6*t - 999. Factor y(z).
(z - 12)*(4*z - 1)/2
Let z = 182636/19 - 9610. Solve -14/19*m**4 + 14/19*m**3 + 2/19*m**5 - 16/19*m + z*m**2 - 32/19 = 0 for m.
-1, 1, 4
Suppose 0 = 4*b + 8 - 20. Let d be 2 + b + -5 + 3. Factor 0*t**2 - 1 - 2*t**2 - 6*t - d + 0.
-2*(t + 1)*(t + 2)
Let g be (-27 - (-969)/38)/((-3)/4). Let 2/11*n**3 - 4/11*n - 2/11*n**g + 0 = 0. Calculate n.
-1, 0, 2
Suppose 3*y - i = -124 + 118, 0 = 2*y + i - 6. Let y*w**2 - 6*w**3 + 3/2 + 9/2*w = 0. What is w?
-1/2, 1
Let l = 2/943 + 15078/4715. Let x be 72/(-15) + (14 - 9). Factor 6/5*i - 24/5*i**3 + l*i**4 + 1/5 + x*i**2.
(i - 1)**2*(4*i + 1)**2/5
Let u be (-6)/(-28)*(3 + 1873/3). Let v = 135 - u. What is g in 0*g**2 - v*g**4 + 0*g - 1/7*g**3 + 0 = 0?
-1/4, 0
Let y(a) be the second derivative of -2*a**7/9 + 16*a**6/9 + 4*a**5/5 - 42*a**4 + 102*a**3 + 108*a**2 + 9*a - 2. Suppose y(x) = 0. What is x?
-3, -2/7, 3
Let u(o) be the first derivative of -5*o**4/4 - 20*o**3/3 - 10*o**2 - 84. Solve u(a) = 0 for a.
-2, 0
Suppose -12 = -b + 4*z, 5*b = z - 5 + 8. Let n(a) be the first derivative of 0*a**2 + 1/36*a**6 + b*a + 1/15*a**5 + 1/24*a**4 + 0*a**3 - 11. Factor n(m).
m**3*(m + 1)**2/6
Suppose -2*l + 5*c = 8*c + 8, -2*l - 2*c - 4 = 0. Factor w**3 - 3/4 + 15/4*w**2 + l*w.
(w + 1)*(w + 3)*(4*w - 1)/4
Let m(i) = -i**2 + i. Let r(v) = 6*v**2 + 3*v + 1. Let b(z) = 4 - z + 3*z - 3 - 2. Let g be b(2). Let w(d) = g*r(d) + 6*m(d). Let w(y) = 0. Calculate y.
-1, -1/4
Suppose 5*r = i - 1 + 12, 3*i = 3*r - 9. Factor 6*f**5 - 8*f**5 + 4*f**r - 5*f**3 + 11*f**3.
-2*f**2*(f - 2)*(f + 1)**2
Let q = 311 - 311. Let u(d) be the third derivative of -4*d**2 + 0 - 2/105*d**7 + 1/15*d**5 + 1/12*d**4 + 0*d + q*d**6 - 1/168*d**8 + 0*d**3. Factor u(a).
-2*a*(a - 1)*(a + 1)**3
Let s(y) = 4*y**2 + 8*y - 12. Let h(u) = 4*u**2 + 8*u - 12. Let w be (18/(-15))/(12/40). Let k(i) = w*h(i) + 5*s(i). What is q in k(q) = 0?
-3, 1
Let -12 + 14*o + 1/2*o**4 + o**2 - 7/2*o**3 = 0. Calculate o.
-2, 1, 2, 6
Let q(p) = p**3 + 2*p**2 + 8. Let s(m) = 2*m**3 + 3*m**2 + 7. Let b(v) = -3*q(v) + 2*s(v). Let d(a) be the first derivative of b(a). Factor d(t).
3*t**2
Let z(j) be the second derivative of -j**5/20 + j**4/2 + 2*j**3/3 - 12*j**2 + 2*j - 4. Suppose z(g) = 0. Calculate g.
-2, 2, 6
Suppose -5/3*b**2 - 4860 - 180*b = 0. What is b?
-54
Find f such that 72 - 11*f**3 - 45*f - 72*f**2 + 8*f**3 + 48*f = 0.
-24, -1, 1
Let n be (-11)/(4 - -95)*-18. Solve 6/11 + 10/11*t - 2/11*t**3 + 2/11*t**n = 0 for t.
-1, 3
Let o(f) be the second derivative of -f**6/33 - 4*f**5/55 + f**4/33 + 8*f**3/33 + 3*f**2/11 + 138*f. What is y in o(y) = 0?
-1, -3/5, 1
Let v(a) be the first derivative of 5*a**4/4 + 10*a**3/3 + 5*a**2/2 + 134. Factor v(o).
5*o*(o + 1)**2
Factor -4/5 + 26/5*m**2 + 22/5*m.
2*(m + 1)*(13*m - 2)/5
Let q(v) = v**2 + 4*v - 4. Let k(m) = 11*m + 7. Let n(a) = 6*a + 4. Let u(o) = 4*k(o) - 7*n(o). Let h(l) = -2*q(l) + 4*u(l). Factor h(j).
-2*(j - 2)*(j + 2)
Let a be (-17 + 63)*12/(-88) + 7 + 0. Factor -2/11*w**2 - 6/11 + a*w.
-2*(w - 3)*(w - 1)/11
Suppose 14*p - 18*p = -2*l - 14, -5*l = -p + 17. Let r(j) be the third derivative of -4*j**p + 0 - 2/3*j**3 