 = -0*r. Let h be (r/(-22))/(24/48)*6. Factor -h*l - 10*l**3 - 78/11*l**2 - 50/11*l**4 + 0.
-2*l*(l + 1)*(5*l + 3)**2/11
Let f = -444/2005 - -9352/6015. Factor 16/3 + f*y - 2/3*y**2.
-2*(y - 4)*(y + 2)/3
Let t(b) = 10*b**2 + 11*b + 24. Let j(z) = 3*z**2 + 4*z + 8. Let v be 3 + ((-2)/10 - 21/(-5)). Let d(k) = v*j(k) - 2*t(k). Solve d(s) = 0 for s.
-4, -2
Let d(v) be the first derivative of -1/30*v**5 + 49/3*v**2 - 7*v**3 + 5/6*v**4 + 10*v + 14. Let m(l) be the first derivative of d(l). What is t in m(t) = 0?
1, 7
Let u be (920/64)/(-5)*-8. Factor -u*x - 24*x - 64*x**2 + 2 - 58*x + 46*x**2 + 16.
-3*(x + 6)*(6*x - 1)
Let m(i) be the second derivative of -3*i**5/20 - 38*i**4 - 1015*i**3/2 + 230*i - 14. Factor m(q).
-3*q*(q + 7)*(q + 145)
Let r(d) = 8*d**3 - 15*d**2 + 4*d - 8. Let m be r(2). Let h(w) be the third derivative of 0 + 7*w**2 - 5/16*w**m + 0*w + 3/2*w**3 - 1/40*w**5. Factor h(x).
-3*(x - 1)*(x + 6)/2
Find g, given that 6074/7*g**2 - 940/7*g**4 + 24320/7*g - 25/7*g**5 - 8581/7*g**3 + 11552/7 = 0.
-19, -4/5, 2
Suppose -47*y - 101*y + 592 = 0. Let n(l) be the second derivative of 10/7*l**3 + 0 + 3/20*l**5 + 12/7*l**2 - 19*l + 1/70*l**6 + 9/14*l**y. Factor n(b).
3*(b + 1)*(b + 2)**3/7
Suppose 5*l - l + 2*q - 90 = 0, 0 = -q - 5. Suppose 0 = -5*n + 5*b + l, -n + 4 = 5*b - 1. Suppose 72*i**2 + n + 10*i + 53*i**2 - 60*i = 0. Calculate i.
1/5
Let j = 79535/7 - 11362. Let c(h) be the first derivative of 3/7*h + 31 - 4/7*h**2 - j*h**3. Suppose c(a) = 0. What is a?
-3, 1/3
Let q be (-3)/((-10)/((-700)/(-15))). Factor 17*g**3 + 0*g**2 - 3*g**2 + 4*g**4 - 3*g - g**4 - q*g**3.
3*g*(g - 1)*(g + 1)**2
Let j(h) be the first derivative of h**4/32 + 11*h**3/4 - 69*h**2/4 + 35*h - 114. Suppose j(u) = 0. Calculate u.
-70, 2
Let c = 17222/17 + -120503/119. What is y in -24/7*y**3 + 51/7*y**2 + 0 - 30/7*y + c*y**4 = 0?
0, 1, 2, 5
Let r(l) be the first derivative of 10 + l**4 + 0*l**3 + 4/25*l**5 - 8*l**2 - 64/5*l. Suppose r(g) = 0. Calculate g.
-4, -2, -1, 2
Let y(b) = 19*b**2 + 38*b - 26. Let r(n) = -n - 1. Let d(k) = -2*r(k) - y(k). Let z(l) = 6*l**2 + 12*l - 9. Let a(t) = 3*d(t) + 8*z(t). Factor a(u).
-3*(u + 2)*(3*u - 2)
Let s = 28 + -18. Let x be (s/6)/((-1085)/(-93)). Factor 0 - x*v**5 + 2/7*v**2 + 0*v + 3/7*v**3 + 0*v**4.
-v**2*(v - 2)*(v + 1)**2/7
Let n(y) be the first derivative of -y**6/45 + y**5/6 + 4*y**4/9 - 4*y**3/3 - 61*y - 72. Let a(t) be the first derivative of n(t). What is j in a(j) = 0?
-2, 0, 1, 6
Let o(l) = -l**2 + 4*l - 2. Let x(s) = -s**2 + 162*s - 97. Let d(j) = -4*o(j) - x(j). Factor d(b).
(b - 35)*(5*b - 3)
Let -12797*i**4 + 8489*i**3 - 930*i - 512*i**5 + 104 + 2592*i + 16187*i**3 + 38909*i**4 + 9952*i**2 + 1756*i**3 = 0. Calculate i.
-1/4, 52
Let t = 96484/337547 - 6/48221. Suppose -14*u + 24*u**2 - 24/7*u**4 - 44/7*u**3 - t*u**5 + 0 = 0. What is u?
-7, 0, 1
Suppose 5*d - 865 = 5*o, -5*o + 3*d - 169 = -4*o. Let z be (-1)/(o/220) + (-6)/15. Let 34/7*s**2 - z*s**3 - 44/7*s + 16/7 = 0. Calculate s.
2/3, 1, 4
Let h(x) = 30*x + 300. Let d be h(-10). Let a(y) be the second derivative of 3/8*y**2 + 5/24*y**3 + 1/24*y**4 + 12*y + d. Factor a(u).
(u + 1)*(2*u + 3)/4
Let 672*i**2 + 324272*i**3 - 325464*i**3 - 37 + 2124*i + 256*i**4 + 37 - 4*i**5 = 0. What is i?
-1, 0, 3, 59
Let s(b) = 648*b**3 - 1404*b**2 - 1735*b - 439. Let o(z) = 652*z**3 - 1404*z**2 - 1734*z - 438. Let q(f) = -7*o(f) + 6*s(f). Factor q(d).
-4*(d - 3)*(13*d + 6)**2
Let l be 7/(-136) + (1424/1068 - 177/153). Solve 3/2*y - 35/8 - l*y**2 = 0 for y.
5, 7
Let k(p) be the first derivative of -p**7/840 - p**6/120 + p**4/6 + 41*p**3/3 + 6. Let n(w) be the third derivative of k(w). Let n(c) = 0. Calculate c.
-2, 1
Factor -p**3 - 116*p + 224 - 65*p**2 + 2*p**3 - 2*p**3 - 45*p**2 + 3*p**3.
2*(p - 56)*(p - 1)*(p + 2)
Let i(w) = 3*w**5 - 7*w**4 - 45*w**3 - 73*w**2 - 19*w - 38. Let q(y) = y**5 - 2*y**4 - 15*y**3 - 24*y**2 - 6*y - 12. Let l(h) = -6*i(h) + 19*q(h). Factor l(m).
m**2*(m - 3)*(m + 1)*(m + 6)
Let g(r) be the second derivative of -r**6/75 + 4*r**5/5 - 37*r**4/10 + 38*r - 4. Factor g(n).
-2*n**2*(n - 37)*(n - 3)/5
Let q = -54 - -62. Let t be 5/(-2)*q/(-5) + -2. Find i such that 4 + 47*i**t - 6*i**3 + 16*i**3 + 3*i - i - 63*i**2 = 0.
-2/5, 1
Suppose 41*r = -r + 2184. Let a(j) = -18*j**3 + 10*j**2. Let p(z) = 2*z**3 - z**2. Let n(l) = r*p(l) + 6*a(l). What is t in n(t) = 0?
0, 2
Solve -3/4*w**4 + 0*w + 0 + 33/2*w**3 - 363/4*w**2 = 0 for w.
0, 11
Let i be -5 + 1 + 1 + 53. Suppose 18*v = 43*v - i. What is n in -18/5 + 12/5*n + 16/5*n**v - 12/5*n**3 + 2/5*n**4 = 0?
-1, 1, 3
Suppose -2*d - 4*f - 8 = 10, 2*d + 3 = -f. Suppose k - 5 = 3*c, k + d = -7*c + 4*c. Solve -16/11 + 4/11*v**k - 2/11*v**3 + 8/11*v = 0 for v.
-2, 2
Let f(a) be the third derivative of -a**5/15 + 23*a**4/36 + 26*a**3/3 + 1469*a**2. Determine d so that f(d) = 0.
-13/6, 6
Let p(s) be the first derivative of 5*s**6/6 + 15*s**5 + 205*s**4/2 + 320*s**3 + 400*s**2 + 718. Let p(b) = 0. Calculate b.
-5, -4, -2, 0
Suppose -5*x + 5*c = 15, 2*x = 6*x - 2*c + 2. Factor 28*j**x - 110*j**3 + 10*j**2 + 112*j**2 + 105*j**3 + 160 + 315*j.
-5*(j - 32)*(j + 1)**2
Suppose -70*k + 24*k = -782. Suppose k*o + 64 = 18*o. Determine g so that -32/3*g - o - 4/9*g**2 = 0.
-12
Suppose -2*z - 77 + 53 = 3*t, 0 = -11*z + 2*t + 16. Let -d + z - 1/4*d**2 = 0. What is d?
-4, 0
Let l(o) be the third derivative of -7/12*o**5 - o - 10/3*o**4 + 0 + 65*o**2 - 1/24*o**6 - 10*o**3. Factor l(j).
-5*(j + 2)**2*(j + 3)
Factor -c**5 - 7*c**5 + 23*c**5 + 19*c - 16*c**5 + c**4 + 18*c**3 + 5 - 4*c**3 + 26*c**2.
-(c - 5)*(c + 1)**4
Let b(n) be the first derivative of -2*n**3/3 - 836*n**2 + 1674*n - 1607. Let b(v) = 0. What is v?
-837, 1
Let n(u) be the first derivative of -u**5/15 - u**4/2 - u**3 - 2*u**2/3 - 949. Factor n(f).
-f*(f + 1)**2*(f + 4)/3
Let q be (-7 - 1*649/(-88))*(-176)/(-297). Find d such that -q*d**3 - 2/9*d**2 + 2/9*d + 2/9 = 0.
-1, 1
Solve 21/2*p - 3/4*p**4 - 45/4 - 21/2*p**3 + 12*p**2 = 0.
-15, -1, 1
Factor 0 + 1227/4*j**2 + 0*j + 3/4*j**3.
3*j**2*(j + 409)/4
Let h be (((-4)/(-2))/4)/(13/(-130)). Let a(z) = -z**2 - 2*z + 2. Let l(f) = 3 + 2*f - 3*f - 2. Let b(y) = h*a(y) + 10*l(y). Factor b(o).
5*o**2
Let q(h) be the second derivative of h**6/165 + 3*h**5/55 + 4*h**4/33 - 2*h**3/11 - 9*h**2/11 + 5822*h. Determine d so that q(d) = 0.
-3, -1, 1
Suppose 2*w - 22*w + 9080 = 0. Let j = 458 - w. Let -2/7*k**5 - 24/7*k**3 + 0 + 0*k + 16/7*k**2 + 12/7*k**j = 0. What is k?
0, 2
Let w(p) be the first derivative of -3*p**5/10 + 37*p**4/6 - 16*p**3/3 - 13*p**2 - 83. Let l(o) be the second derivative of w(o). Find q, given that l(q) = 0.
2/9, 8
Let -3484*u - 28*u**3 - 132*u**2 - 484*u**2 + 4124*u + 4*u**4 = 0. What is u?
-10, 0, 1, 16
Solve -109/7*p**2 - 219/7*p**3 - 1/7*p**5 - 111/7*p**4 + 0 + 0*p = 0.
-109, -1, 0
Suppose -21 = -4*m + 6*m + 5*a, 2*m = 5*a - 31. Let q be -1 + ((-91)/5)/m. Factor 8/5 + q*t**2 - 8/5*t.
2*(t - 2)**2/5
Let u(w) = w**3 - 123*w**2 - 2 + 143*w**2 + 7*w**3 + 12*w. Let x(c) = -25*c**3 - 59*c**2 - 37*c + 4. Let b(n) = -14*u(n) - 4*x(n). Factor b(z).
-4*(z + 1)*(z + 3)*(3*z - 1)
Let v(x) be the first derivative of x**6/30 + 2*x**5/5 + x**4/2 - 20*x**3/3 + 23*x**2/2 - x - 65. Let b(n) be the second derivative of v(n). Factor b(z).
4*(z - 1)*(z + 2)*(z + 5)
Let x be 1/((19/(-3249))/((-1)/1047) + -6). Factor -6/7*b**2 + x*b - 3/7*b**3 + 60/7.
-3*(b - 4)*(b + 1)*(b + 5)/7
Determine g so that 0 - 2/5*g**4 + 2/5*g**2 - 4/5*g + 4/5*g**3 = 0.
-1, 0, 1, 2
Let w be 1005/(-50) + 20 - (-21)/10. Let -2/23*p**w + 4/23*p + 6/23 = 0. Calculate p.
-1, 3
Let d(k) = -60*k + 8. Let o be d(-8). Suppose 33*y = 34*y - o. Factor -3 - 5*l - 492*l**2 + y*l**2 + 0 - l**3 + 1.
-(l + 1)**2*(l + 2)
Factor 4/3*m**3 + 290/3 + 253/3*m**2 + 1223/3*m.
(m + 5)*(m + 58)*(4*m + 1)/3
Let q = -537 - -438. Let j be ((-11)/q)/((-33)/(-27)). Factor -1/11 + 2/11*l - j*l**2.
-(l - 1)**2/11
Suppose 39*p = -11*p - 1200. Let g = -70/3 - p. Determine c, given that -g - 2/15*c**2 - 4/5*c = 0.
-5, -1
Suppose 7*x + 474 = 165*x. Let f(c) be the third derivative of 0*c - 1/21*c**x + 1/420*c**6 - 1/70*c**5 + 1/28*c**4 + 0 - 12*c**2. Factor f(y).
2*(y - 1)**3/7
Let m(v) be the third derivative of -v**6/540 - 13*v**5/270 - 10*v**4/27 - 4*v**3/3 - 4811*v**2. Solve m(x) = 0.
-9, -2
Let f