ivative of -h*p**2 + 8*p - 2 + 98/3*p**3. Factor s(i).
2*(7*i - 2)**2
Determine v so that 60*v + 3*v**2 + 0*v**2 - 16 - 54 - 109 - 196 = 0.
-25, 5
Let k(f) be the second derivative of -f**5/30 - 37*f**4/18 - 105*f. Find d, given that k(d) = 0.
-37, 0
Suppose -9 = 3*r - 12. Let b(y) = -y**4 + y**3 + y**2. Let x(p) = -3*p**4 - 89*p**3 - 673*p**2 - 1960*p - 1372. Let v(u) = r*b(u) + x(u). Factor v(t).
-4*(t + 1)*(t + 7)**3
Factor -33/4*w - 9/2*w**2 - 1/4*w**3 - 4.
-(w + 1)**2*(w + 16)/4
Factor 23*d**2 - 50*d - 2*d**3 - 124*d**2 - 140*d + 3*d**2 - 94.
-2*(d + 1)**2*(d + 47)
Let s = 475 + -2363/5. Find j such that 9/5 + 3/5*j**2 - s*j = 0.
1, 3
Let t(d) = -2*d**3 - 44*d**2 - 2*d + 14. Let z(q) = -q**3 - 15*q**2 - q + 5. Suppose 8*h + 8 = -32. Let a(c) = h*t(c) + 14*z(c). Determine o so that a(o) = 0.
0, 1/2, 2
Suppose 4529*l - 266*l + 248*l**2 + 14884 + 998*l - 1661*l + 4330*l + 2*l**3 = 0. Calculate l.
-61, -2
Let l be (17 - 18)/(((-30)/25)/((-4)/(-10))). Let o be 0 + (-7)/(-3) + -1. Factor -5/3*k**3 - l*k**4 - 8/3*k**2 - o*k + 0.
-k*(k + 1)*(k + 2)**2/3
Let b(n) = -17*n**5 + 64*n**4 - 71*n**3 + 18*n**2 - 2. Let a(i) = 18*i**5 - 63*i**4 + 72*i**3 - 18*i**2 + 3. Let h(z) = -2*a(z) - 3*b(z). What is d in h(d) = 0?
0, 2/5, 1, 3
Let g(x) be the second derivative of 2*x**6/105 + 6*x**5/35 + 4*x**4/21 - 4*x**3/7 - 10*x**2/7 + 143*x. Factor g(q).
4*(q - 1)*(q + 1)**2*(q + 5)/7
Suppose 2*n - 2*m + 8 = 2*m, -4*m = -3*n - 8. Let u be (-1 + 1)/(n + 0 + 1). Determine s, given that 2/15*s**2 + u + 2/15*s = 0.
-1, 0
Let b(j) be the first derivative of 20*j**3/3 + 165*j**2/2 + 40*j - 888. Factor b(h).
5*(h + 8)*(4*h + 1)
Suppose 0 = -398*l + 404*l - 12. Let k(u) be the third derivative of -5*u**l + 0*u**3 - 1/210*u**5 + 0*u + 0 - 1/420*u**6 + 0*u**4. Factor k(n).
-2*n**2*(n + 1)/7
Solve -181*v**2 - 25*v - 32 + 17*v + 201*v**2 - 4*v**3 = 0.
-1, 2, 4
Let n = 38 + -35. Let u(k) be the third derivative of -1/96*k**6 + 0*k - 1/120*k**5 + 1/12*k**n + 0 + 5/96*k**4 + 5*k**2. What is j in u(j) = 0?
-1, -2/5, 1
Let h be (-24)/4*(-2 + 5)/(54/(-4)). Factor -18/5*k + 2/3*k**2 + h.
2*(k - 5)*(5*k - 2)/15
Suppose 5*b + 120 = -3*o + 123, b = 2*o - 2. Let a = -7/24 - -97/168. Factor b*t + a*t**3 - 2/7*t**2 + 0.
2*t**2*(t - 1)/7
Suppose -g - 4 = -2*g. Suppose -4*o - g*q = -6*q - 12, o - 5*q - 12 = 0. Factor 3 - 6 + 10*c - 3*c**o + 0 - 4*c.
-3*(c - 1)**2
Let h(b) be the third derivative of -b**6/480 + 7*b**5/240 - b**4/24 - b**3/2 + 95*b**2. Factor h(s).
-(s - 6)*(s - 2)*(s + 1)/4
Let n(o) be the first derivative of -40/3*o**3 + 45*o + 15*o**2 - o**5 + 2 - 15/2*o**4. Let n(t) = 0. Calculate t.
-3, -1, 1
Let m(w) be the second derivative of -w**4/26 + w**3/39 + 4*w**2/13 - 4*w - 73. What is z in m(z) = 0?
-1, 4/3
Let m(h) = h**3 + 7*h**2 - 20*h - 27. Let o be m(-11). Let v = 294 + o. Find s such that -1/2*s**4 + 0*s + 0*s**2 - 1/2*s**v + 0 = 0.
-1, 0
Suppose x + 2 = 5*r, 3*r - 2 - 1 = 0. Let s be (2/(-4))/((-2)/12). Find i such that -6*i**2 - 1 + 2*i**x - 9*i**4 + 16*i**4 - 5*i + s*i**5 + 0*i**3 = 0.
-1, -1/3, 1
Suppose -4*h = 5*b, -32 = -84*b + 81*b + 4*h. Solve 0 - 5/6*f**b - 1/3*f + 1/3*f**3 + 5/6*f**2 = 0.
-1, 0, 2/5, 1
Let i(w) be the first derivative of w**5/10 + 4*w**4/5 + 19*w**3/10 + 9*w**2/10 - 207. Factor i(c).
c*(c + 3)**2*(5*c + 2)/10
Let d(f) be the first derivative of -2*f**6/9 - 8*f**5 - 245*f**4/3 - 800*f**3/9 + 840*f**2 - 3136*f/3 + 553. Suppose d(r) = 0. What is r?
-14, -4, 1
Let r(o) = 4*o**4 + 10*o**3 - 90*o**2 + 22*o + 100. Let y(z) = z**3 + z**2 - z + 2. Let b(l) = r(l) + 6*y(l). Factor b(u).
4*(u - 2)**2*(u + 1)*(u + 7)
Let k(o) = -26*o - 934. Let s be k(-36). Let q(z) be the first derivative of 8/3*z**3 - z**4 - s*z**2 + 0*z - 10. Factor q(g).
-4*g*(g - 1)**2
Let s(l) be the third derivative of l**8/560 + l**7/175 - l**5/50 - l**4/40 - l**2 - 13*l. Factor s(x).
3*x*(x - 1)*(x + 1)**3/5
Let k(l) be the first derivative of 4*l**3/3 - 20*l**2 + 64*l + 269. Factor k(b).
4*(b - 8)*(b - 2)
Let i = 6 + -2. Solve -2*r**3 + 515*r**2 + 6*r**i - 2*r**3 + 0*r**3 + 24*r - 533*r**2 - 8 = 0.
-2, 2/3, 1
Let w(a) be the second derivative of -a**7/17640 + a**6/2520 + 7*a**4/6 + 13*a. Let t(i) be the third derivative of w(i). Factor t(d).
-d*(d - 2)/7
Let c(g) = 4*g**3 - 3*g**2 - 3*g + 5. Let l be c(1). Let s(k) be the first derivative of 3*k**2 + 6/5*k**5 + 4*k + 7 - 6*k**l + 1/2*k**4. Factor s(j).
2*(j - 1)**2*(j + 2)*(3*j + 1)
Suppose -124*l - 5*k = -127*l - 16, 4*k = 3*l + 11. Factor -9/4*r**2 - l*r - 1.
-(3*r + 2)**2/4
Suppose 2*r - 30 = -8*r. Suppose 11 = z + r*a, 0*z - z = -3*a + 7. Find d such that 2/7*d + 0 - 2/7*d**z = 0.
0, 1
Let u(p) be the third derivative of -1/2*p**3 + 0*p + 4*p**2 + 0 - 1/20*p**5 - 1/4*p**4. Suppose u(o) = 0. What is o?
-1
Let l = -323/11 - -331/11. Find f such that -20/11*f**2 + 12/11 + 2/11*f + l*f**4 + 0*f**3 - 2/11*f**5 = 0.
-1, 1, 2, 3
Solve -5*v**3 - 215 + 69 - 45*v + 50*v**2 + 72 + 74 = 0 for v.
0, 1, 9
Let q(x) be the second derivative of -35*x**5/22 - 15*x**4/11 + 4*x**3/11 + 8*x**2/11 + 2*x - 4. Determine b so that q(b) = 0.
-2/5, 2/7
Let l be ((-10)/(-8))/(8/32). Let q(d) be the second derivative of 0 - 83/16*d**4 + 1/2*d**3 + 441/40*d**6 - 6*d + 3/2*d**2 - 63/40*d**l. Factor q(u).
3*(3*u - 1)**2*(7*u + 2)**2/4
Suppose 3 = -846*n + 847*n. Let t(f) be the first derivative of 4/3*f**3 - 6/5*f**5 - f**4 + 2*f + n*f**2 + 5 - 1/3*f**6. Factor t(k).
-2*(k - 1)*(k + 1)**4
Let h(x) = x**3 - x**2 - 1. Let a(o) = 6*o**3 - 7*o**2 - 5*o - 1. Let j be (4 - 9/2)*-2. Let u(y) = j*a(y) - 3*h(y). Suppose u(b) = 0. What is b?
-1, 1/3, 2
Factor -41/3*z**2 - 62/3*z - z**3 - 8.
-(z + 1)*(z + 12)*(3*z + 2)/3
Let f(h) be the first derivative of h**2 - 3/4*h**4 + 5/3*h**3 + 0*h - 7. Let f(q) = 0. Calculate q.
-1/3, 0, 2
Let v(o) = o**4 - 15*o**3 + 82*o**2 - 125*o + 7. Let l(u) = u**2 + 1. Let y(q) = 28*l(q) - 4*v(q). Solve y(t) = 0.
0, 5
Let n be (-6253)/(-111) + (-1 - 0)/3. Factor -4*p**2 + 56 - 32*p - n.
-4*p*(p + 8)
Suppose 3*w - 5*w + 6 = 0. Suppose -5*l + 25 = 4*t - t, -4*l - 7 = -w*t. Factor 28*c**2 + 9*c**4 - 4*c**t + 9*c**4 + 2 - 21*c + 9*c - 32*c**3.
-2*(c - 1)**4*(2*c - 1)
Let t(k) be the second derivative of k**8/3360 + k**7/630 + k**6/360 + 5*k**4/4 + 4*k. Let u(c) be the third derivative of t(c). Determine h so that u(h) = 0.
-1, 0
Let w = 1271/85 - 244/17. Suppose -w - 3/5*y**2 - 6/5*y = 0. Calculate y.
-1
Let o(a) be the second derivative of a**7/735 - 23*a**6/1260 + 13*a**5/210 + 2*a**4/21 + 5*a**3 + 12*a. Let h(m) be the second derivative of o(m). Factor h(c).
2*(c - 4)*(c - 2)*(4*c + 1)/7
Let a(c) = 81*c + 501. Let y(x) = -x**2 - 242*x - 1505. Let t(z) = 8*a(z) + 3*y(z). Determine o, given that t(o) = 0.
-13
Factor 0 - 1/2*f**3 - 5/2*f + 21/4*f**2.
-f*(f - 10)*(2*f - 1)/4
Let i(b) be the second derivative of b**4/4 + 15*b**3/2 + 54*b**2 + b - 37. Determine v, given that i(v) = 0.
-12, -3
Let a(r) be the third derivative of r**5/240 + 61*r**4/48 + 3721*r**3/24 - 3*r**2 - 5. Suppose a(o) = 0. What is o?
-61
Let x(k) be the first derivative of -14*k**6/27 - 38*k**5/5 - 349*k**4/18 + 2090*k**3/27 - 203*k**2/3 + 196*k/9 + 206. Let x(q) = 0. Calculate q.
-7, 2/7, 1/2, 1
Let i = 28 + -16. Let u = 16 - i. Let -3*y**5 - 3*y**2 - 24*y**3 - 9*y**2 - 4*y**4 - 11*y**u = 0. Calculate y.
-2, -1, 0
Let l(q) be the third derivative of q**7/105 + 4*q**6/15 - q**5/30 - 4*q**4/3 - 190*q**2 + 1. Factor l(z).
2*z*(z - 1)*(z + 1)*(z + 16)
Let g(n) be the third derivative of 2*n**7/105 - 13*n**6/30 - n**5/15 + 13*n**4/6 + 5*n**2. Factor g(c).
4*c*(c - 13)*(c - 1)*(c + 1)
Let r = -9378 + 9380. Suppose 2/9*y**r - 16/9 - 4/9*y = 0. Calculate y.
-2, 4
Let z be 11/((-22)/(-12)) - 3. Let i(v) = v**3 + 9*v**2 - 10*v + 2. Let w be i(-10). Factor 6*b**w - 18/7*b**z - 32/7*b + 8/7.
-2*(b - 1)*(3*b - 2)**2/7
Suppose -5*n - 65 = -6*g, g = -4*n + 4 - 27. Suppose -14 = -5*p - 4. Suppose -6/7*o**g + 0*o + 0 + 4/7*o**p + 6/7*o**3 - 4/7*o**4 = 0. What is o?
-1, -2/3, 0, 1
Suppose 103*f - 5*u + 34 = 106*f, -5*u + 16 = -3*f. Factor -2/7*y + 4/7 - 4/7*y**2 + 2/7*y**f.
2*(y - 2)*(y - 1)*(y + 1)/7
Suppose 3*h - 18 = -g, -9 = -g - 2*g. Suppose h*d - 13 = -3. Solve -b**d - 2 - 1 + 2*b + 2*b = 0 for b.
1, 3
Let t(g) be the first derivative of 0*g**3 - 2*g - 3/2*g**2 - 5 - 1/4*g**4