(x - 1)*(x + 1)**2*(x + 2)/5
Let o(q) = -12*q. Let p be o(-2). Let y be -7 + (-144)/(-8) + -6. Factor -p + 39*n + 3*n**y + 9*n**4 + 8*n + 7*n - 21*n**2 - 21*n**3.
3*(n - 1)**3*(n + 2)*(n + 4)
Let z(a) be the third derivative of -a**5/330 - 35*a**4/132 + 200*a**3/33 - 2623*a**2. Determine c so that z(c) = 0.
-40, 5
Let w(y) be the second derivative of -1/12*y**4 + 0 - 3/2*y**3 + 1/20*y**5 + 9/2*y**2 + 121*y. Determine f so that w(f) = 0.
-3, 1, 3
Let g(t) = t + 2. Let u be g(11). Suppose 0 = b + u - 17. Let b*i**3 + 5*i**4 + i**3 + 2*i**2 + 5*i**3 + 3*i**2 = 0. What is i?
-1, 0
Let j(t) = 235*t + 1177. Let v be j(-5). Let p(d) be the third derivative of 0 - 5/6*d**3 + 1/2*d**5 - 3*d**v + 0*d + 5/24*d**4. Factor p(q).
5*(2*q + 1)*(3*q - 1)
Suppose 0 = s - 5*s + 12. Find m, given that 47 + m**3 - 6*m**s + 5*m + 10*m**2 - 57 = 0.
-1, 1, 2
Let l(j) = 10*j**2 + 181*j. Let q(d) = -5*d**2 - 91*d. Let y(r) = 6*l(r) + 11*q(r). Find m such that y(m) = 0.
-17, 0
Let x(p) be the third derivative of 0*p - 4/3*p**3 - 2*p**2 + 1/240*p**6 + 1/6*p**4 - 10 + 7/120*p**5. Factor x(k).
(k - 1)*(k + 4)**2/2
Let 11*j**2 - 29*j**2 + 39*j**3 - 24 - 6*j**5 + 12*j**2 + 3*j**4 - 60*j = 0. What is j?
-2, -1, -1/2, 2
Let -4374/19*h**4 + 734/19*h**2 + 80/19 - 2142/19*h**3 + 562/19*h - 108/19*h**5 = 0. What is h?
-40, -1/3, 1/2
Suppose 3*w + 5*f + 21 = -0*f, 0 = 3*w - f + 3. Let v(d) = d**2 - 409*d - 4410. Let c(g) = -82*g - 882. Let r(k) = w*v(k) + 11*c(k). Factor r(t).
-2*(t + 21)**2
Factor 3/2*b**2 - 125 - 749/2*b.
(b - 250)*(3*b + 1)/2
Let u = 915 + -904. Factor -51*i - 3 + 3 - u*i + 4*i**2 + 98*i.
4*i*(i + 9)
Let j be 782/184*64/48. Factor 1/3*p**2 + 0 + j*p.
p*(p + 17)/3
Let x(u) be the second derivative of 0*u**2 + 0 - 1/30*u**4 + 17/15*u**3 + 174*u. Factor x(h).
-2*h*(h - 17)/5
Let z(a) be the third derivative of -a**8/20160 - a**7/420 - 3*a**6/80 + 49*a**4/12 + 2*a**2 - 13. Let l(u) be the second derivative of z(u). Factor l(c).
-c*(c + 9)**2/3
Let l(u) be the third derivative of u**5/630 + 179*u**4/252 - 20*u**3/7 + 665*u**2. Factor l(n).
2*(n - 1)*(n + 180)/21
Let i(z) be the first derivative of -5*z**4/24 + 10*z**3/9 + 65*z**2/4 - 105*z + 1095. Factor i(y).
-5*(y - 7)*(y - 3)*(y + 6)/6
Let i be 798/(-280) + (-18 - -21). Let m(f) be the first derivative of -f**3 + 11 - 12/5*f - i*f**4 - 12/5*f**2. Factor m(x).
-3*(x + 1)*(x + 2)**2/5
Let r(p) = -175*p**2 - 4980*p + 1230060. Let q(u) = -9*u**2 - u - 1. Let h(l) = 20*q(l) - r(l). Let h(f) = 0. What is f?
496
Suppose 18*i - 15*i = -3*j + 42, j - 38 = -3*i. Solve 5/3*q - 1/3*q**j + 2 = 0 for q.
-1, 6
Suppose -115 = -i - 3*o, 3*i - 329 = -4*o + 3*o. Let t = 109 - i. Suppose -1/7*j**2 + t - 2/7*j = 0. Calculate j.
-2, 0
Let -f**4 - 17*f**3 + 0*f**4 - 140*f**2 + 6*f**4 - 5*f**3 - 113*f**3 = 0. Calculate f.
-1, 0, 28
Solve 1/2*i**5 + 313/2*i**3 + 968*i + 0 - 15*i**4 - 660*i**2 = 0.
0, 4, 11
Factor -1/5*h**4 + 77/5 - 76/5*h**2 - 78/5*h**3 + 78/5*h.
-(h - 1)*(h + 1)**2*(h + 77)/5
Let j(q) = q**2 + 1035*q + 6. Let w(o) = o**2 + 2067*o + 10. Let v(t) = 5*j(t) - 3*w(t). Factor v(b).
2*b*(b - 513)
Let i(o) be the first derivative of 0*o**2 + 0*o + 160 + 2/3*o**3 + 0*o**4 - 2/5*o**5. Factor i(z).
-2*z**2*(z - 1)*(z + 1)
Let k(i) = 2*i**2 + 2*i - 4. Let t be k(-3). Suppose 2*o - 4*b = -8 - t, 4*b - 12 = 4*o. Factor 3*w**o + w**3 + 10*w**3 - 6*w + 3*w**3 - 11*w**3.
3*w*(w - 1)*(w + 2)
Let y(i) be the first derivative of 55*i**4/4 + 10*i**3/3 - 55*i**2/2 - 10*i + 2402. Solve y(b) = 0 for b.
-1, -2/11, 1
Let i be 0/((-5)/((-5)/2)). Let a be 3/2 + (45/30 - -1). Suppose -a*o**4 - 2*o**5 + i*o**3 + o**5 - o**5 - 2*o**3 = 0. Calculate o.
-1, 0
Let a(i) be the first derivative of 4*i**5/5 + 123*i**4 + 14372*i**3/3 - 23310*i**2 + 31752*i + 4782. Factor a(c).
4*(c - 2)*(c - 1)*(c + 63)**2
Let d(m) be the first derivative of 2/3*m**3 - 4*m**2 - 24*m + 77. Suppose d(a) = 0. What is a?
-2, 6
Determine q, given that -147/2 - 1/8*q**2 + 7*q = 0.
14, 42
Let w = -419 + 437. Let q be (2/3)/((-132)/w - -10). Factor 1/4*g + 1/2 - q*g**2.
-(g - 2)*(g + 1)/4
Let q(a) = 2*a**3 + 2*a**2 - a - 1. Let j(z) = 52*z**3 - 92*z**2 + 1544*z - 5512. Let n(u) = j(u) - 24*q(u). Solve n(k) = 0 for k.
7, 14
Let a be (-5)/(40/(-72)) - (0 - 0). Factor -29*x**4 + a*x - 4*x**5 - 30*x**2 + 5*x**5 - 2*x**5 + 4*x**5 + 36*x**3 + 11*x**4.
3*x*(x - 3)*(x - 1)**3
Suppose 34/9*d**4 + 0*d + 0 + 512/9*d**2 + 1/9*d**5 + 320/9*d**3 = 0. Calculate d.
-16, -2, 0
Let m(i) = 11*i**3 + 44*i**2 - 12*i - 125. Let l(j) = -5*j**3 - 21*j**2 + 8*j + 62. Let t(b) = 10*l(b) + 4*m(b). Suppose t(s) = 0. Calculate s.
-6, -5/3, 2
Suppose 221*z**5 + 5510*z**3 - 5538*z**3 - 241*z**5 - 48*z**4 = 0. Calculate z.
-7/5, -1, 0
Let l(b) be the second derivative of b**6/6 - 53*b**5/4 + 85*b**4/4 + 265*b**3/6 - 130*b**2 + 1470*b. Factor l(r).
5*(r - 52)*(r - 1)**2*(r + 1)
Let r(c) be the first derivative of 3*c**5/35 + 45*c**4/4 - 106*c**3/7 - 853. Factor r(a).
3*a**2*(a - 1)*(a + 106)/7
Let a(s) be the third derivative of -s**6/600 - 17*s**5/60 + 131*s**4/60 - 88*s**3/15 + 6*s**2 + 37. Factor a(t).
-(t - 2)*(t - 1)*(t + 88)/5
Let x(l) be the third derivative of l**7/1050 - l**6/100 + l**5/60 + l**4/5 - 6*l**3/5 - 2*l**2 + 591. Factor x(w).
(w - 3)**2*(w - 2)*(w + 2)/5
Let j(u) be the third derivative of -208*u**2 + 0*u + 5/4*u**4 - 1/20*u**5 + 11/2*u**3 + 0. Factor j(z).
-3*(z - 11)*(z + 1)
Let w(m) = m**2 - 1. Let c(g) = -4*g**2 - 13*g + 201. Let q(a) = -c(a) - 3*w(a). Let l be q(-22). Find n such that 0*n**2 - 1/5*n**4 + 2/5*n**3 + 0 + l*n = 0.
0, 2
Let w(s) be the first derivative of s**3/5 - 99*s**2/10 + 84*s - 1079. Factor w(f).
3*(f - 28)*(f - 5)/5
Let z = -14 - -8. Let k(w) = -25*w**2 - 63*w - 200. Let v(p) = -3*p**2 - 8*p - 25. Let n = 163 - 112. Let h(f) = n*v(f) + z*k(f). Factor h(c).
-3*(c + 5)**2
Suppose 2 = -3*w + 11. Suppose w*u = -m + 10, -u - 2 = -2*u - m. Factor 6*i**3 - 9*i**2 - i + i + 0*i**3 + 3*i**u.
3*i**2*(i - 1)*(i + 3)
Let u be ((-8)/16)/((-1)/10). Let w(k) be the third derivative of 0*k**3 + 0*k - 1/15*k**u + 0 + 1/6*k**4 + 4*k**2. Factor w(n).
-4*n*(n - 1)
Let c = -28 + 34. Suppose c*a = 5*a + 4. Suppose -3*u**a - 2*u**4 + 9*u**4 - 4*u**5 = 0. What is u?
0, 1
Let v = -334 - -337. What is d in -2*d**4 + 17925 + 10*d**v + 28*d**2 - 17925 = 0?
-2, 0, 7
Let t(w) be the first derivative of -23/6*w**3 - 15/2*w + 79 - 17/2*w**2 - 1/2*w**4. Suppose t(j) = 0. What is j?
-15/4, -1
Let l be ((5016/110)/6 - 8)/(2/(-25)). Determine c so that 0*c + 8/3*c**3 - 8/3*c**2 + 0 - 2/3*c**l + 2/3*c**4 = 0.
-2, 0, 1, 2
Let q(u) be the first derivative of 25*u**3/3 + 215*u**2/2 - 90*u + 4467. Factor q(n).
5*(n + 9)*(5*n - 2)
Let s(o) be the second derivative of 18 - 3*o**2 + 1/12*o**4 + 2*o - 1/6*o**3. Solve s(l) = 0.
-2, 3
Let t(m) be the first derivative of m**3/21 + 102*m**2/7 + 800*m/7 + 3607. Determine c, given that t(c) = 0.
-200, -4
Let w be 6/5*(-4)/8*-5. Suppose w*l = 3*h + 108, -3*h - 149 = -4*l + 2*h. Find b, given that 74 - 2 + l*b + 2*b**2 + 0*b - 7*b = 0.
-6
Let t be 2/((-3)/(-2)*(-16)/(-36)). Suppose 177*p**5 + 95*p**4 + 980 + 2240*p + 635*p**t - 87*p**5 - 85*p**5 + 1805*p**2 = 0. What is p?
-7, -2, -1
Let t(a) = a**3 + a**2 + a + 6. Let q(y) = -5*y**3 + 276*y**2 - 3*y - 304. Let p(c) = q(c) + 4*t(c). Factor p(k).
-(k - 280)*(k - 1)*(k + 1)
Let l(q) = -61*q + 362. Let z be l(21). Let n = z + 4596/5. Factor -2/5*o**2 - n*o**3 + 0*o + 0.
-o**2*(o + 2)/5
Suppose -3 = -5*r - 8. Let v be (-2 - -1)/r + 49/49. Factor 12 + 10 + 12*a**v - 37*a - 5*a**2 - 12.
(a - 5)*(7*a - 2)
Let i = 42 - 37. Suppose -i*u - 2 = -12. Factor 4 + 12*m**2 - 6*m + 0*m - 10*m**u.
2*(m - 2)*(m - 1)
Let d(k) be the first derivative of -54*k**6 - 4356*k**5/5 + 6332*k**4 - 23104*k**3/3 - 7104*k**2 - 1728*k - 7179. Let d(a) = 0. Calculate a.
-18, -2/9, 2, 3
Let c(t) = 3*t**2. Let j be c(-1). Solve -19 - 10*q + 8 - q**2 - j + 5 = 0 for q.
-9, -1
Let w(a) be the third derivative of a**7/280 - 27*a**6/160 - 189*a**5/80 - 297*a**4/32 - 1001*a**2. Factor w(b).
3*b*(b - 33)*(b + 3)**2/4
Suppose 42*o - 7*o - 105 = 0. What is r in -13*r + 6*r**3 + 3*r**2 - 26 - 7*r**3 + o*r**2 + 2*r**3 - 16 = 0?
-7, -2, 3
Let g(n) be the first derivative of n**4 + 2584*n**3 + 2503896*n**2 + 1078344544*n + 1624. Find l such that g(l) = 0.
-646
Let