-2526)/76. Let c = -14/19 - o. Factor -15*u - c - 3/2*u**2.
-3*(u + 5)**2/2
Let m(j) be the third derivative of 0*j - 4/3*j**3 + 13/12*j**4 - 7/15*j**5 - 51*j**2 + 1/12*j**6 + 0. Factor m(h).
2*(h - 1)**2*(5*h - 4)
Let r be 445/32930 + (-54)/(-111). Find z such that r*z**2 + 11/2 - 6*z = 0.
1, 11
Suppose -15*q + 13*q = 27*q + 3*q. Let r(v) be the first derivative of 9/4*v**4 + 0*v**2 + 12/5*v**5 + 0*v + 9 + 1/2*v**6 + q*v**3. Factor r(s).
3*s**3*(s + 1)*(s + 3)
Let r(b) = -6*b**4 - 165*b**3 - 86*b**2 + 69*b. Let f(h) = -4*h**4 - 164*h**3 - 85*h**2 + 72*h. Let i(z) = -4*f(z) + 3*r(z). Factor i(j).
-j*(j - 81)*(j + 1)*(2*j - 1)
Let o(d) be the first derivative of 2*d**5/35 + 43*d**4/14 + 24*d**3/7 - 36*d**2 - 1846. Factor o(s).
2*s*(s - 2)*(s + 3)*(s + 42)/7
Let s(j) be the second derivative of -j**6/50 - 573*j**5/100 - 377*j**4/20 + 191*j**3/10 + 567*j**2/5 + 31*j + 29. Find g such that s(g) = 0.
-189, -2, -1, 1
Let w(i) = 15*i**2 + 33*i + 13. Let q(n) = -5*n**2 - 11*n - 4. Suppose 0 = 9*a - 13*a + 28. Let r(y) = a*q(y) + 2*w(y). Let r(p) = 0. Calculate p.
-2, -1/5
Let h(n) be the third derivative of -n**6/540 + 2*n**5/5 - 35*n**4/9 + 416*n**3/27 + 3*n**2 + 51*n + 1. Factor h(c).
-2*(c - 104)*(c - 2)**2/9
Let a(p) be the third derivative of 1156*p**5/15 + 34*p**4/3 + 2*p**3/3 - 6*p**2 + 28*p. Let a(v) = 0. Calculate v.
-1/34
Let b(u) be the third derivative of u**8/1512 + 2*u**7/945 - 11*u**6/540 - 4*u**5/135 + 5*u**4/27 + 16*u**3/27 - 2*u**2 + 843*u. Determine m so that b(m) = 0.
-4, -1, 2
Suppose -4*i**2 + 2*i + 24 + 1/2*i**3 = 0. What is i?
-2, 4, 6
Let 3/4*q**2 + 777/2*q + 201243/4 = 0. What is q?
-259
Suppose -5*j - 5*y = -40, -5*y - 12 = -3*j + 4. Factor -j*d + 7*d + 11*d**2 + 0*d**3 + d**3.
d**2*(d + 11)
Let h(t) = 38*t - 300. Let b be h(8). Suppose -76*k**3 + 26*k**2 - 62*k**2 + 24*k**2 - 16*k**3 + 4*k**b - 84*k**2 = 0. What is k?
-1, 0, 24
Let a(l) = -1280*l**3 - 1294*l**2 + 11*l - 10. Let g(u) = -1282*u**3 - 1294*u**2 + 8*u - 8. Let f(d) = 4*a(d) - 5*g(d). Let f(h) = 0. Calculate h.
-1, -2/645, 0
Let k(i) be the third derivative of -1/2*i**6 + 2*i**4 + 0 + 0*i + 47*i**2 + 8/3*i**3 - 1/15*i**5. Find w such that k(w) = 0.
-2/3, -2/5, 1
Determine a so that 486/19*a - 738/19 + 2/19*a**3 + 250/19*a**2 = 0.
-123, -3, 1
Suppose -344/5*w**4 + 257/5*w**2 - 4/5*w**5 - 347/5*w + 351/5*w**3 + 87/5 = 0. Calculate w.
-87, -1, 1/2, 1
Let k = -6841 - -2667991/390. Let y(p) be the third derivative of -5/39*p**3 + 15*p**2 - k*p**5 - 1/26*p**4 + 0*p + 0. Factor y(m).
-2*(m + 1)*(m + 5)/13
Let d(t) be the third derivative of 2*t**7/525 + t**6/5 - 71*t**5/75 - 38*t**4/5 - 256*t**3/15 + t**2 + 17*t + 3. Solve d(w) = 0.
-32, -1, 4
Let p(f) be the third derivative of -f**6/180 - f**5/10 + 4*f**4/3 + 35*f**3/2 - 177*f**2. Let v(k) be the first derivative of p(k). Factor v(t).
-2*(t - 2)*(t + 8)
Suppose -7*w + 28*w - 862 + 820 = 0. Determine o so that 204/7*o**w + 16 + 36/7*o**3 - 320/7*o = 0.
-7, 2/3
Solve -186*k**2 + 45*k**3 - 276*k + 98*k**5 + 829*k**2 + 126*k**4 - 95*k**5 - 582*k**3 + 41*k**2 = 0.
-46, 0, 1, 2
Let v(q) be the first derivative of -q**5/2 - 155*q**4/8 - 1015*q**3/6 - 2245*q**2/4 - 690*q - 3196. Determine r, given that v(r) = 0.
-23, -4, -3, -1
Let f(t) = t**3 + 3*t**2 - 4*t + 4. Let b be f(-4). Factor 15 - 1649*w + 1665*w - b*w**2 + 5.
-4*(w - 5)*(w + 1)
Factor 22*m**3 - 8*m + 33*m - m**4 + 25*m - 12*m - 59*m**2.
-m*(m - 19)*(m - 2)*(m - 1)
Let w(k) = -5*k**3 - 75*k**2 + 15*k. Let f(u) = u**4 - 6*u**3 - 75*u**2 + 12*u. Let b(o) = 5*f(o) - 4*w(o). Factor b(a).
5*a**2*(a - 5)*(a + 3)
Let d(o) be the second derivative of o**4 - 309*o**3/2 + 570*o**2 - 4*o - 110. Suppose d(u) = 0. What is u?
5/4, 76
Let l(q) = -q**2 + 2*q + 5. Let n(s) = -8*s**2 + 156*s + 35. Let h(z) = -35*l(z) + 5*n(z). Factor h(r).
-5*r*(r - 142)
Suppose -182*p - 271 = -355 - 462. Let n(g) be the first derivative of -1/2*g**2 - 2/5*g**5 + 1/2*g**4 - 1/6*g**6 - 2*g - 25 + 4/3*g**p. What is l in n(l) = 0?
-2, -1, 1
Factor -50*y - 221 - 205*y - 394*y - 4*y**2 + 85*y - 339.
-4*(y + 1)*(y + 140)
Let 305762/11 + 2/11*w**2 - 1564/11*w = 0. What is w?
391
Let i(v) = 10*v - 30. Let z be i(4). Suppose 2*x**3 + z*x + 7*x - 3*x - 16*x**2 + 0*x = 0. What is x?
0, 1, 7
What is t in 0 + 0*t - 80/7*t**3 - 2/7*t**4 + 82/7*t**2 = 0?
-41, 0, 1
Let x be (-4)/(-9)*6*(-276)/(-368). Let d(i) be the third derivative of -4*i**x + 1/360*i**5 + 0*i + 0 - 1/144*i**4 + 0*i**3. Factor d(v).
v*(v - 1)/6
Factor -3*a**2 - 16 + 350*a + 256 - 236*a.
-3*(a - 40)*(a + 2)
Let w = -22001 + 110014/5. Suppose 3/5*y**2 + w + 12/5*y = 0. Calculate y.
-3, -1
Let n(x) be the third derivative of 18*x**2 + 0*x + 0*x**3 + 0 + 1/720*x**6 + 1/120*x**5 + 1/72*x**4. Determine p, given that n(p) = 0.
-2, -1, 0
Let r**3 - 24*r**2 - 5*r**5 - 180 + 180 + 30*r**4 + 4*r**3 - 6*r**2 = 0. What is r?
-1, 0, 1, 6
Let s(y) be the third derivative of -y**6/24 + 50*y**5/3 - 48985*y**4/24 - 51005*y**3/3 + 4*y**2 - 172. Determine t, given that s(t) = 0.
-2, 101
Let l(i) = 2*i**2 + 22*i - 40. Let q = 631 - 625. Let j(b) = -5*b**2 - 67*b + 120. Let o(u) = q*j(u) + 17*l(u). Factor o(a).
4*(a - 5)*(a - 2)
Suppose 8920 = 4*f + 3*n, 8*f - 4*f - 3*n - 8896 = 0. Let h be f/393 - (-10)/(-2). Solve 2*i + 2*i**2 + 2/3 + h*i**3 = 0.
-1
Find y, given that 120 + 18*y**5 - 122*y**2 + 32*y - 68*y**3 + 4*y + 20*y**2 + 11*y**3 - 15*y**5 = 0.
-2, 1, 5
Let j be (34 - 34)*((-16)/20 + 1). Suppose 521*b - 524*b = j. Suppose b + 4/7*t**4 - 4/7*t**2 + 0*t**3 + 0*t = 0. Calculate t.
-1, 0, 1
Factor -8/13*v**2 - 2/13*v**3 + 0 + 0*v.
-2*v**2*(v + 4)/13
Factor 1/3*a**2 - 160/3 + 26*a.
(a - 2)*(a + 80)/3
Let u be (-3)/(-7) + (-137)/(-7). Suppose -3*f - 2 = -3*o - 32, -u = -5*f - o. Factor 0*p**2 + 6*p**2 + f*p + 10*p**3 - 5*p**3 + 4*p**2.
5*p*(p + 1)**2
Let d(b) be the third derivative of b**8/168 + 11*b**7/140 + 13*b**6/240 - 11*b**5/10 - 29*b**4/12 - 2*b**2 + 26. Solve d(y) = 0.
-29/4, -2, -1, 0, 2
Factor 92/3 - 44/3*l**2 - 2/3*l**3 + 50/3*l.
-2*(l - 2)*(l + 1)*(l + 23)/3
Let k(q) be the second derivative of 0*q**2 + 1/24*q**4 - 70*q - 1/24*q**3 + 0. Factor k(f).
f*(2*f - 1)/4
Factor 36/5*h**3 + 72/5*h - 78/5*h**2 - 24/5 - 6/5*h**4.
-6*(h - 2)**2*(h - 1)**2/5
Let d(m) be the second derivative of -m**5/160 + 13*m**4/96 - 47*m**3/48 + 35*m**2/16 - 838*m. Factor d(s).
-(s - 7)*(s - 5)*(s - 1)/8
Let z be (-1 - -7) + 1 - (-2 + 7). Factor 57*a**3 - 187*a**3 - 845*a**z - 167 - 5*a**4 + 167.
-5*a**2*(a + 13)**2
Suppose 5*i = 18168*a - 18167*a - 6, -5*i = -2*a + 12. Determine m so that i*m + 0 + 2*m**4 + 32/11*m**2 - 2/11*m**5 - 52/11*m**3 = 0.
0, 1, 2, 8
Let -380*u**2 + 27*u**3 - 2*u**3 + 0*u**3 + 956 - 20*u**3 - 26876 + 7920*u = 0. What is u?
4, 36
Let r(t) = -41*t**2 - 28*t + 21. Let h(j) = 35*j**2 + 28*j - 18. Let v(n) = -7*h(n) - 6*r(n). Suppose v(q) = 0. Calculate q.
0, 28
Factor -33/2*c**3 + 1/2*c**4 + 405/2*c**2 - 2187/2*c + 2187.
(c - 9)**3*(c - 6)/2
Let k(v) be the first derivative of -1/3*v**3 + 36 - 1369*v - 37*v**2. Suppose k(x) = 0. Calculate x.
-37
Let h(b) be the first derivative of 4*b**3/9 - 25*b**2/6 + 2*b - 2014. Find l, given that h(l) = 0.
1/4, 6
Let c be (1 - 1302/(-144)) + -10. Let y(z) be the first derivative of 1/12*z**2 - 2 - 1/9*z**3 + 1/3*z - c*z**4. Factor y(s).
-(s - 1)*(s + 1)*(s + 2)/6
Suppose 56*d = 32*d + 48. What is i in -37*i - 5*i**d + 23*i + 20*i + 2*i**2 = 0?
0, 2
Let x(l) be the first derivative of -l**8/2520 - l**7/630 + l**5/90 + l**4/36 + 2*l**3/3 + 8*l + 23. Let w(a) be the third derivative of x(a). Factor w(s).
-2*(s - 1)*(s + 1)**3/3
Let v = -156791 - -156791. Factor v*p**2 - 2 + 1/3*p**3 - 7/3*p.
(p - 3)*(p + 1)*(p + 2)/3
Let f(y) be the third derivative of -y**5/480 - y**4/64 + 65*y**3/24 - 2*y**2 + 107*y. Suppose f(o) = 0. What is o?
-13, 10
Suppose 11*i + 12 - 144 = 0. Factor 65*m**2 + 48*m + 2*m**3 + 17*m**2 - i*m**3 + 34*m**2.
-2*m*(m - 12)*(5*m + 2)
Let q(d) be the first derivative of 4/9*d**2 - 4/9*d**3 - 74 - 5/9*d**4 + 0*d. Factor q(g).
-4*g*(g + 1)*(5*g - 2)/9
Let q(o) be the third derivative of o**7/504 + o**6/120 + o**5/120 - o**4/72 - 29*o**3/2 + 38*o**2. Let u(x) be the first derivative of q(x). Factor u(p).
(p + 1)**2*(5*p - 1)/3
Let h be (-4)/(-8)*28/11. Let o be ((-71440)/(-88))/38 + -21. Factor -h*w + 2/11*w