3/6 - 20*n**2 + 50*n + 58. Determine i so that t(i) = 0.
-10, -1, 1
Suppose 10568 - 10604 = -12*t. Solve 14/13*w**t + 2/13*w**4 + 40/13*w + 16/13 + 36/13*w**2 = 0.
-2, -1
Let c(a) be the first derivative of -2*a**4/7 - 638*a**3/21 - 6320*a**2/7 + 3200*a/7 - 421. Factor c(g).
-2*(g + 40)**2*(4*g - 1)/7
Let k(o) be the first derivative of -9*o**5/10 + 3*o**4/4 + 10*o**3/3 + 2*o**2 + 86. Factor k(u).
-u*(u - 2)*(3*u + 2)**2/2
Let s(r) = -4*r**4 + 16*r**2 - 9*r - 1. Let h(x) = -x**4 - x**2 - x + 1. Let j be ((4 - 5)*-1*1)/(-1). Let p(c) = j*h(c) - s(c). Solve p(z) = 0 for z.
-2, 0, 1
Let q(w) = 2*w**2 + 3*w + 30. Let g(p) = p**2 + p + 1. Let m(a) = -3*g(a) + q(a). Let b be m(-5). Factor -25/2*o**b - 7*o**3 + 2 + 4*o.
-(o + 2)*(2*o - 1)*(7*o + 2)/2
Let p(k) = 5*k**3 - 205*k**2 + 1993*k + 2203. Let m(s) = 15*s**3 - 615*s**2 + 5978*s + 6608. Let l(g) = 2*m(g) - 7*p(g). Suppose l(n) = 0. Calculate n.
-1, 21
Let 18*v**4 + 18*v**2 - 10*v - 9*v**3 + 34*v + 16*v**4 - 37*v**4 = 0. Calculate v.
-4, -1, 0, 2
Let w(n) be the third derivative of -9/16*n**4 - 12*n**2 + 0 + 0*n + n**3 + 3/20*n**5 - 1/80*n**6. Factor w(m).
-3*(m - 4)*(m - 1)**2/2
Let w(k) be the third derivative of k**7/735 + k**6/24 + 143*k**5/420 - 33*k**4/56 - 27*k**3/14 - 7*k**2 - 1. Find q, given that w(q) = 0.
-9, -1/2, 1
Factor -128/5*c - 2/5*c**3 + 0 + 32/5*c**2.
-2*c*(c - 8)**2/5
Let r(o) = -3*o**3 - 6*o**2 - 18*o. Let p(a) = 2*a**3 + 3*a**2 + 10*a. Let n(g) = 5*p(g) + 3*r(g). Factor n(k).
k*(k - 4)*(k + 1)
Let n(s) be the first derivative of 0*s - 20 + 6*s**2 - 12/5*s**5 + 4*s**3 - 9/4*s**4 - 1/2*s**6. Find d, given that n(d) = 0.
-2, -1, 0, 1
Let c be 1 - 4 - (68/(-8) + 5). Factor 0 + 0*b + 1/2*b**5 + 1/2*b**4 - c*b**2 - 1/2*b**3.
b**2*(b - 1)*(b + 1)**2/2
Suppose -d - d - 46 = 5*m, -4*m = 5*d + 81. Let j = d - -53/4. Factor -j*w**4 + 1/2*w - 1/2*w**3 + 1/4 + 0*w**2.
-(w - 1)*(w + 1)**3/4
Let h(z) be the first derivative of -4*z**3/3 + 54*z**2 - 113. Let h(q) = 0. Calculate q.
0, 27
Let g(o) be the third derivative of -o**5/15 + 32*o**4/3 - 2048*o**3/3 - 30*o**2. Factor g(p).
-4*(p - 32)**2
Let p(j) be the first derivative of 12*j**5/35 + 19*j**4/7 - 136*j**3/7 - 1368*j**2/7 - 864*j/7 - 177. Find f, given that p(f) = 0.
-6, -1/3, 6
Let h(d) be the third derivative of -d**6/24 - 5*d**5/6 + 232*d**2. Solve h(b) = 0.
-10, 0
Suppose 0*k + 2*a = 5*k - 9, -15 = -5*a. Let u be (3/(-4))/k - 148/(-80). What is y in 8/5*y**2 - 12/5*y**3 + 0 - 2/5*y**5 + u*y**4 - 2/5*y = 0?
0, 1
Let n be (-17 - -13)/1*(-3)/30. Find m such that 0 + 2/5*m**3 + 0*m + 4/5*m**2 - n*m**5 - 4/5*m**4 = 0.
-2, -1, 0, 1
Factor 4*d**4 + 4/3*d**2 - 32/3*d**3 - 16/3 + 2/3*d**5 + 10*d.
2*(d - 1)**3*(d + 1)*(d + 8)/3
Let f(g) = 3*g**3 + 6*g**2 - g. Let j(h) = -16*h**3 - 31*h**2 + 5*h - 2. Let m(v) = 11*f(v) + 2*j(v). Determine o so that m(o) = 0.
-4, -1, 1
Suppose -x = x + 42. Let r = x - -23. Factor -2/13*b**r - 2/13 - 4/13*b.
-2*(b + 1)**2/13
Let x be 12/(-48)*((-2)/1)/8. Let k(b) be the second derivative of x*b**4 + 9*b - 1/5*b**5 - 7/120*b**6 + 2/3*b**3 + 1/2*b**2 + 0. Let k(d) = 0. Calculate d.
-2, -1, -2/7, 1
Let b(p) be the first derivative of -p**6/15 + 2*p**5/5 - 3*p**4/10 - 34*p**3/15 + 28*p**2/5 - 24*p/5 - 439. Let b(i) = 0. What is i?
-2, 1, 2, 3
Let p(g) = 11*g**3 - 95*g**2 - 155*g - 66. Let z(v) = -2*v**3 + 16*v**2 + 26*v + 11. Let x(d) = 6*p(d) + 34*z(d). Solve x(n) = 0.
-11, -1
Suppose 13*t - 240 = -4*q + 9*t, 5*q - t - 276 = 0. Let r = q + -54. Find l, given that 0 + 3/7*l + 3/7*l**r = 0.
-1, 0
Let z = -364 + 1105/3. Let q = -17/6 + z. Factor q + 3/4*k**2 + 9/4*k.
3*(k + 1)*(k + 2)/4
Let o(v) be the first derivative of 6 - v**4 + 0*v**2 + 0*v - 16/21*v**3 + 34/35*v**5 + 5/21*v**6. Solve o(c) = 0 for c.
-4, -2/5, 0, 1
Determine w, given that 8*w**4 - 64*w**2 - 2*w**5 - 9655*w + 9623*w + 0*w**3 + 128 + 16*w**3 = 0.
-2, 2, 4
Factor d**2 + 785 + 30*d - 785.
d*(d + 30)
Let d be (-1115)/(-55) - (-24)/(-88). Factor 60*b - 55*b**2 - 45/2 + d*b**3 - 5/2*b**4.
-5*(b - 3)**2*(b - 1)**2/2
Suppose 2*z = 8 + 2. Suppose 3*r**3 + 0*r**5 - 3*r**z + 3*r**4 - 23*r**2 + 20*r**2 = 0. What is r?
-1, 0, 1
Let g(x) = -11*x + 3. Let z be g(-1). Let h = z - 13. Solve 1 + 1 + 2*w + h - w**2 = 0.
-1, 3
Let j(i) be the first derivative of i**5/50 - i**4/4 + 8*i**3/15 - 478. Factor j(f).
f**2*(f - 8)*(f - 2)/10
Find t, given that 775*t**2 - 740*t**2 + 19*t**3 + 12*t**3 - 6*t**3 + 5*t**3 - 5*t**4 = 0.
-1, 0, 7
Let b be (-4 + 40/12)*-3. Find r, given that -5*r**3 - 28 + 52*r - 20*r**b + 0*r**3 + r**3 = 0.
-7, 1
Suppose 4*r = -5*g - 10, 0 = 3*r + g + 2*g + 6. Suppose -4*k + 6 + 2 = r. Factor 2/11 + 4/11*b + 2/11*b**k.
2*(b + 1)**2/11
Let r be -186*88/(-46080) + 2/(-6). Let f(c) be the third derivative of 0 - 1/16*c**4 + 0*c**3 - r*c**6 - 1/10*c**5 + 4*c**2 + 0*c. Solve f(q) = 0.
-2, -2/7, 0
Find o, given that 15*o**3 - 37 + 26 + 10*o - 23*o**2 - o**5 - o**4 + 11 = 0.
-5, 0, 1, 2
Let y be 2 - (3 + -3 - (4 - 3)). Let x(j) be the second derivative of -14*j - 5/48*j**4 + 5/24*j**y + 0 + 0*j**2. Let x(t) = 0. Calculate t.
0, 1
Let t be 35/490*(3/(-10) - -1). Let b(j) be the third derivative of 1/12*j**4 + 0*j + 1/10*j**5 - 4*j**2 + 1/105*j**7 + 0 + 0*j**3 + t*j**6. Factor b(p).
2*p*(p + 1)**3
Let f(t) = 8*t**3 + 15*t**2 - 5*t - 15. Let z(h) = -10*h**3 - 14*h**2 + 6*h + 14. Let c(m) = -4*f(m) - 3*z(m). Factor c(o).
-2*(o - 1)*(o + 1)*(o + 9)
Let b(l) = -l**2 - l - 1. Let y(g) = 45*g**3 + 86*g**2 + 59*g + 4. Let z(p) = p**2 - p - 1. Let m(s) = y(s) + 4*z(s). Let r(w) = 10*b(w) - m(w). Factor r(x).
-5*(x + 1)**2*(9*x + 2)
Factor 34*s - 12*s**3 - 24*s + 6*s - 44*s**2.
-4*s*(s + 4)*(3*s - 1)
Let v(f) = 30*f**2 + 120*f + 48. Let p(m) = 3*m**2 + 12*m + 5. Let r(w) = 21*p(w) - 2*v(w). Find i such that r(i) = 0.
-3, -1
Let f be (5/(-175)*-5)/((-11)/(-264)*8). Determine j, given that 3/7*j**3 - 3/7*j**4 - 6/7 + 9/7*j**2 - f*j = 0.
-1, 1, 2
Find k such that -20 + 899*k**2 - 864*k**2 + k**3 - 6*k**3 - 15*k**4 + 5*k**5 = 0.
-1, 1, 2
Let b(h) be the third derivative of 0*h**4 + 1/210*h**5 + 5*h**2 + 0*h**3 + 13/840*h**6 + 0 + 0*h. Factor b(a).
a**2*(13*a + 2)/7
Let z(g) = g**3 + 3*g**2 + 4*g. Suppose 2*n - 3*n = -2. Let h(q) = -q**3 - 3*q**2 - 5*q. Let s(x) = n*h(x) + 3*z(x). Suppose s(p) = 0. What is p?
-2, -1, 0
Let c(v) be the first derivative of -1/4*v**4 + 1/2*v**2 + 5/3*v**3 - 5*v - 7. Let c(i) = 0. Calculate i.
-1, 1, 5
Let r = 130 - 419/3. Let f = r - -61/6. Factor -1/2*a - 1 + f*a**2.
(a - 2)*(a + 1)/2
Let h(b) = -4*b**2 + 51*b + 45. Let y(p) = 2*p**2 - 24*p - 22. Let q(i) = -2*h(i) - 5*y(i). Suppose q(j) = 0. Calculate j.
-1, 10
Let g be ((-8)/(-36)*2)/((-4)/(-3)). Let a(y) be the second derivative of 0 + g*y**4 + 2*y**2 - 4/3*y**3 - 2*y. Suppose a(t) = 0. What is t?
1
Let k(g) be the second derivative of g**5/50 + g**4/5 + 3*g**2/2 + 15*g. Let z(y) be the first derivative of k(y). Find t, given that z(t) = 0.
-4, 0
Let i(x) be the first derivative of -x**4 - x**3 + x**2/2 + 75. Factor i(z).
-z*(z + 1)*(4*z - 1)
Let r = -422/15 + 141/5. Let w(g) be the second derivative of 0*g**3 + 2/5*g**2 + 0 - 12*g - r*g**4. Factor w(c).
-4*(c - 1)*(c + 1)/5
Let h(f) = -208*f + 1458. Let z be h(7). Factor -4/3*c**z - 5/3*c - 2/3 - 1/3*c**3.
-(c + 1)**2*(c + 2)/3
Suppose 6*o = 2*o + 16. Factor 44*i - o - 27*i - 23*i - 2*i**2.
-2*(i + 1)*(i + 2)
Let l = -8258/235 + -78/47. Let u = l + 37. Factor -2/5 - 1/5*g**3 + 2/5*g**2 + u*g.
-(g - 2)*(g - 1)*(g + 1)/5
Let s = 323/1170 - 11/90. Factor 2/13 + 2/13*q - 2/13*q**2 - s*q**3.
-2*(q - 1)*(q + 1)**2/13
Suppose -3*s = -s - 6. Suppose 0 = 5*p - 2*r - 2 - 8, -3*p + 6 = s*r. Solve -4*u + 0*u**2 - u**2 - u**p = 0 for u.
-2, 0
Let g be 5 + -5 - ((-1440)/(-35))/(-8). Let m be (8/10)/((-2)/(-10)). Find s, given that -26/7*s + 6/7 - g*s**3 - 2/7*s**5 + 44/7*s**2 + 2*s**m = 0.
1, 3
Suppose -3*o + a = -4*a + 1, 5*o + 2*a - 19 = 0. Let f be (-21)/o - -5 - -2. Factor -4/7*d**3 + 2/7*d**4 + 2/7*d**2 + f + 0*d.
2*d**2*(d - 1)**2/7
Suppose 2*q - 4*p = 5*q - 10, 2*q = -2*p + 6. Let b be 2/q*(0 + 2). Let 4/3 + 2/3*l**2 - b*l = 0. Calculate l.
1, 2
Let f(d) be the first derivative of -4/11*d - 1/22*d**4 - 9 + 4/33*d**3 + 1/11*d**2. Solve f(v) = 0.
-1, 1, 2
Suppose -2*o + 3*g + 15 = 5, 2*g + 2 = -o. Factor -1 + 8 + 6 - 31 - 3*p**o - 15*p