ivative of p**6/180 - 14*p**5/15 + 60*p**4 - 1728*p**3 + 2720*p**2. Let m(r) = 0. Calculate r.
12, 36
Let g(f) = -275*f - 11821. Let a be g(-43). What is l in 20/3*l - 5/3*l**2 - 4 + 2/3*l**a - 5/3*l**3 = 0?
-2, 1, 3/2, 2
Let n = 873623 - 6115357/7. Solve 2/7*i**4 - 4/7*i + 2/7 + 8/7*i**3 - n*i**5 - 4/7*i**2 = 0 for i.
-1, 1/2, 1
Let g(a) be the second derivative of -5*a**7/42 - a**6 - 2*a**5 + 2*a. Factor g(x).
-5*x**3*(x + 2)*(x + 4)
Let c(r) = -r**3 - 50*r**2 - 87*r - 1846. Let o be c(-49). Solve 10*d**3 - 4/5 + 34/5*d - o*d**2 = 0.
1/5, 2/5, 1
Let v(a) be the first derivative of -2*a**3/3 + 1898*a**2 - 1801202*a + 10457. Determine k so that v(k) = 0.
949
Suppose -232086 - 605*y**2 - 939194 - 122*y**3 - 208*y**3 + 70842*y - 5*y**4 + 88878*y = 0. What is y?
-44, 11
Let k = 39 - 23. Factor k*d**2 + 3*d - 4*d**3 + 18 - 2*d**4 - 2*d + d + 34*d.
-2*(d - 3)*(d + 1)**2*(d + 3)
Solve 1656*d - 4680*d + 4*d**3 - 1504*d**2 + 4676 - 4676 = 0 for d.
-2, 0, 378
Factor -21*q**4 + 30*q**4 - 30*q**4 - 24*q**2 - 57*q**3 + 12*q + 7*q - 7*q.
-3*q*(q + 1)*(q + 2)*(7*q - 2)
Let z be 400/1595 + (-36)/522. Let k(n) be the first derivative of -1/22*n**4 + 9 - 10/11*n + 9/11*n**2 - z*n**3. Factor k(i).
-2*(i - 1)**2*(i + 5)/11
Factor 32/7*g**2 - 4/7*g**3 + 0 + 192/7*g.
-4*g*(g - 12)*(g + 4)/7
Let l be 16 + 0 + 328280/435. Factor -2/3*o**2 - l + 136/3*o.
-2*(o - 34)**2/3
Let k(y) be the third derivative of -y**7/210 - y**6/20 + 9*y**5/20 - 18*y**2 + 37. Factor k(b).
-b**2*(b - 3)*(b + 9)
Let o = 8229 + -8229. Let p(l) be the first derivative of 18 - 3*l**2 + 3/2*l**4 - 7*l**3 + o*l + 21/5*l**5. Factor p(s).
3*s*(s - 1)*(s + 1)*(7*s + 2)
Factor -6983*f**2 + 2*f**3 + 3490*f**2 + 80*f + 3465*f**2.
2*f*(f - 10)*(f - 4)
Let z be 4/(-26) - (-14)/91. Suppose z = -3*q + 5*n - 1, -4*q - q + 4*n = -7. Determine i so that -26*i**2 + i**q + 12*i**2 + 10*i**2 = 0.
0, 4
Solve 2450*o**3 + 4305*o**2 + 308 - 18*o - 109*o**4 + 101*o**4 + 2173*o = 0 for o.
-1, -1/2, -1/4, 308
Let q = -148 - -156. Let m(n) = 7*n**2 - 2*n + 10. Let c(d) = -11*d**2 + 3*d - 16. Let w(u) = q*m(u) + 5*c(u). Determine i, given that w(i) = 0.
0, 1
Let w(x) be the first derivative of -39/2*x**2 + 1/8*x**6 + 117/16*x**4 + 89 + 0*x - x**3 + 12/5*x**5. Suppose w(u) = 0. Calculate u.
-13, -2, 0, 1
Let g be (4 - (-7 - -8))*1. Suppose -17*i = -g*i - 42. Factor 0 - 3/7*u**2 + 6/7*u - 6/7*u**i + 3/7*u**4.
3*u*(u - 2)*(u - 1)*(u + 1)/7
Let y(i) be the first derivative of -i**5/190 + 7*i**4/228 - 4*i**3/57 + 7*i**2 + 4*i - 84. Let k(p) be the second derivative of y(p). Factor k(a).
-2*(a - 1)*(3*a - 4)/19
Let a(r) be the first derivative of 84 - 1/20*r**5 + 0*r + 1/2*r**2 - 1/16*r**4 + 1/3*r**3. Find z, given that a(z) = 0.
-2, -1, 0, 2
Let q(d) be the second derivative of 0 + 19/9*d**3 - 7/6*d**4 + 89*d + 2*d**2 - 2/15*d**5. Determine z so that q(z) = 0.
-6, -1/4, 1
Let d(q) be the third derivative of -q**8/448 + q**7/20 + 3*q**6/10 + 5*q**5/8 + 17*q**4/32 - 30*q**2 - 5*q. Suppose d(n) = 0. What is n?
-1, 0, 17
Let s(q) be the first derivative of 14*q**3/33 - 23*q**2/11 + 12*q/11 + 468. Suppose s(c) = 0. Calculate c.
2/7, 3
Find v such that 0 + 2/5*v**2 + 102/5*v = 0.
-51, 0
Let x(o) be the third derivative of -1/180*o**6 - 2*o**2 + 0*o**3 - 1/1575*o**7 + 0*o**4 - 16*o + 1/75*o**5 + 0. Factor x(b).
-2*b**2*(b - 1)*(b + 6)/15
Suppose -220 - 14965 = -251*j - 1631. Let -j*c**2 - 18*c**3 + 8/3*c + 50/3*c**4 + 24 + 2*c**5 = 0. Calculate c.
-9, -1, 2/3, 2
Let a(t) be the first derivative of -t**4/30 - 226*t**3/45 + 4*t**2/15 + 904*t/15 - 1765. Determine p so that a(p) = 0.
-113, -2, 2
Determine q so that 156 + 61/3*q**2 + 1/6*q**3 - 1/6*q**4 - 118*q = 0.
-13, 2, 6
Suppose -202*d = -193*d. Let v(t) be the first derivative of -1/3*t**3 + 0*t**2 + d*t + 14. Factor v(s).
-s**2
Let -1984/9*o + 1264/9*o**2 + 256/3 + 28/9*o**3 + 2/3*o**5 - 82/9*o**4 = 0. Calculate o.
-4, 2/3, 1, 4, 12
Suppose a = -2, 4*a + 25 = 5*n - a. Find q, given that -12*q - 258*q**4 - 3*q + 263*q**4 - 5*q**2 + 15*q**3 + 0*q**n = 0.
-3, -1, 0, 1
Let i = 544 - 538. Let -467 + 11*k - 467 - k**5 + 940 - i*k**4 - 10*k**3 = 0. Calculate k.
-3, -2, -1, 1
Let q(l) = -l**2 + 24*l - 45. Let p(f) = 2*f - 8. Let c(m) = 21*p(m) - 3*q(m). Factor c(t).
3*(t - 11)*(t + 1)
Let u = 31369/5 - 6271. Let n(t) be the first derivative of -11 + 2*t**3 + 8*t**4 - u*t**5 + 8*t - 16*t**2. Find p such that n(p) = 0.
-1, 2/7, 1, 2
Let x(i) be the third derivative of 0*i**3 - 1/60*i**6 + 0*i**4 + 1/105*i**7 + 0 + 0*i**5 + 49*i**2 + 0*i. Suppose x(j) = 0. What is j?
0, 1
Let z(c) be the first derivative of c**4/6 + 1058*c**3/9 - 2821. Factor z(t).
2*t**2*(t + 529)/3
Suppose 0 = -2*o - 2*d + 34, 2*o - 5*d = -8*d + 39. Suppose 24 = 3*t + o. Factor 8*h**2 - h - t*h**2 + 13*h.
4*h*(h + 3)
Let f(i) be the second derivative of 35/12*i**4 - 146 - 1/6*i**6 + 1/2*i**5 + 0*i**2 + 10/3*i**3 - 2*i. Solve f(b) = 0 for b.
-1, 0, 4
Let k(u) be the third derivative of -u**6/600 + 2*u**5/75 + u**4/24 - 14*u**3/5 + 4*u**2 + 484. Determine p so that k(p) = 0.
-3, 4, 7
Let d(w) be the second derivative of 3/2*w**5 + w - 11 + 5/3*w**4 - 1/6*w**6 - 20*w**3 + 0*w**2. Find s such that d(s) = 0.
-2, 0, 2, 6
Suppose 83/2*z + 27 + 3/2*z**2 = 0. What is z?
-27, -2/3
Factor -93/5*w**2 - 252 - 3/5*w**3 + 1356/5*w.
-3*(w - 10)*(w - 1)*(w + 42)/5
Let i(d) be the third derivative of d**7/280 - d**6/60 - 7*d**5/40 - d**4/2 + 22*d**3 - 168*d**2. Let h(w) be the first derivative of i(w). Factor h(g).
3*(g - 4)*(g + 1)**2
Let z(u) be the second derivative of 35/18*u**3 + 103 - 5*u**2 + 2*u - 5/36*u**4. Factor z(j).
-5*(j - 6)*(j - 1)/3
Suppose -5*x + 6*x = -4*o + 23, 0 = 3*x + 5*o - 34. Factor 3 - 51*g - 3 + 36*g + 5*g**2 - 5*g**4 + 15*g**x.
-5*g*(g - 3)*(g - 1)*(g + 1)
Let d be (-19440)/(-1512)*(-14)/(-65). Suppose -d*j**2 + 14/13*j + 10/13*j**3 + 12/13 = 0. Calculate j.
-2/5, 1, 3
Let j(r) be the second derivative of -9*r**6/20 - 909*r**5/10 - 10597*r**4/2 - 26664*r**3 - 52272*r**2 + 17*r - 2. Factor j(t).
-3*(t + 66)**2*(3*t + 4)**2/2
Let d(q) be the second derivative of 9*q**5/20 - 19*q**4/12 + 13*q**3/6 + 4*q**2 + 3*q. Let z(y) = y**3 - y**2 + y. Let g(s) = 2*d(s) - 22*z(s). Solve g(p) = 0.
-4, -1, 1
Let s be 0 + 18/9 + 12. Suppose 29 + 1 = 5*q. Factor -8 - q*v + 30*v**2 - s*v**2 - 14*v**2.
2*(v - 4)*(v + 1)
Let c(o) = 23*o + 69. Let w be c(-3). Let y(u) be the second derivative of w*u**3 - 1/399*u**7 + 1/190*u**5 + 0*u**2 + 0 + 0*u**4 + 3*u + 0*u**6. Factor y(p).
-2*p**3*(p - 1)*(p + 1)/19
Let b(k) be the third derivative of -1/70*k**5 + 293*k**2 + 0 - 55/42*k**4 - 24/7*k**3 + 0*k. Solve b(m) = 0 for m.
-36, -2/3
Let k(n) = 3*n**2 - 26*n + 1. Let b(q) = -2*q**2 - 1. Let f(w) = -4*b(w) - k(w). Let i(c) = -15*c**2 - 76*c - 8. Let j(l) = 8*f(l) + 3*i(l). Factor j(v).
-5*v*(v + 4)
Find d such that -308*d**3 - 40 - 304*d - 660*d**2 - 49/2*d**4 = 0.
-10, -2, -2/7
Let y be 1 + -1 + 0/(-12 - -6) + 0. Let f(k) be the first derivative of 2/3*k**3 + 2/3*k**4 + 29 - 2/5*k**5 + y*k - 3/2*k**2 + 1/18*k**6. Factor f(j).
j*(j - 3)**2*(j - 1)*(j + 1)/3
Solve -56*d - 3*d**4 + 9*d**3 - 26*d + 38*d - 37*d - 108 + 39*d**2 = 0 for d.
-3, -1, 3, 4
Let z(n) be the third derivative of -507/14*n**3 + 0*n + 0 - 1/420*n**5 - 13*n**2 - 13/28*n**4. Factor z(b).
-(b + 39)**2/7
Factor 2200/7*k - 605000/7 - 2/7*k**2.
-2*(k - 550)**2/7
Let z = 200 + -197. Suppose -3*g - 3*y + 12 = 2*y, 20 = 5*g - 2*y. Factor 0*i + g*i**2 - 6*i - 7*i**2 + 3*i**z.
3*i*(i - 2)*(i + 1)
Let h(t) be the first derivative of 3362/5*t + 41/5*t**2 + 44 + 1/30*t**3. Let h(i) = 0. Calculate i.
-82
Let o(x) be the third derivative of -x**6/1080 + 7*x**5/54 - 1033*x**4/216 - 184*x**3/9 - 5645*x**2. Determine m, given that o(m) = 0.
-1, 23, 48
Let m(q) be the second derivative of 7/78*q**4 + 2/39*q**3 + 54*q + 1/65*q**6 + 0 + 0*q**2 + 4/65*q**5. What is l in m(l) = 0?
-1, -2/3, 0
Let v be (-2 - (-105)/(-6))*2682/(-135). Let y = v + -387. Factor -7/5*l**4 - 2/5*l + 0 + y*l**3 + 7/5*l**2.
-l*(l - 1)*(l + 1)*(7*l - 2)/5
Let c(l) be the second derivative of -2*l**5/5 + 31*l**4/6 - 61*l**3/3 + 30*l**2 - 2770*l. Factor c(d).
-2*(d - 5)*(d - 2)*(4*d - 3)
Let n(c) = -c**3 + c**2 + 15*c + 14. Let w be n(-3). Let w*z**3 - 4*z**3 + 15*z + 24*z**2 - 5*z**3 + 45*z + 32 = 0. What is z?
-1, 8
Su