*2/4 + 2*o + 35. Find d, given that p(d) = 0.
-1/4, 1, 2
Suppose 0 = -3*k + 5*q + 12, -5*k + 5*q - 4 = -24. Let w(v) be the third derivative of -1/18*v**3 + 0*v + 5*v**2 + 1/180*v**5 + 0 + 0*v**k. Factor w(s).
(s - 1)*(s + 1)/3
Let l(p) be the third derivative of p**8/70560 + p**7/17640 - p**6/1260 + 4*p**5/15 + 6*p**2. Let k(h) be the third derivative of l(h). Factor k(a).
2*(a - 1)*(a + 2)/7
Let q(g) = -4*g**2 + 4*g - 4. Let u(h) = h + 1. Let f = 91 - 95. Let o(w) = f*u(w) - q(w). Factor o(s).
4*s*(s - 2)
Suppose -39*z + 19 + 212*z**2 + 21 + 172*z + 2*z**5 + 42*z**4 + 148*z**3 - 6 + 5*z = 0. What is z?
-17, -1
Suppose 19*x**3 - 7*x**4 - 11*x**3 - 14*x + 3*x**4 - 18*x + 16*x**2 = 0. Calculate x.
-2, 0, 2
Let q(l) be the third derivative of -l**7/210 + l**6/120 + l**5/20 - l**4/24 - l**3/3 + 150*l**2. Factor q(f).
-(f - 2)*(f - 1)*(f + 1)**2
Let y(h) be the second derivative of 0 - 8/15*h**6 + 8*h - 7/5*h**5 + 2/3*h**3 + 0*h**2 - 2/3*h**4. Determine k, given that y(k) = 0.
-1, 0, 1/4
Let g(t) = t**3 - t**2 - t + 1. Let h = 1 + -6. Let q(z) = 15*z**3 + 50*z**2 - 45*z - 20. Let w(i) = h*g(i) - q(i). Factor w(s).
-5*(s - 1)*(s + 3)*(4*s + 1)
Let j(v) be the third derivative of -v**7/735 + v**6/420 + v**5/210 - v**4/84 - 17*v**2 - 7. Factor j(w).
-2*w*(w - 1)**2*(w + 1)/7
Let v be (-6)/45 - (-2 - 34/30). Let t(u) be the third derivative of -1/16*u**4 - 1/6*u**v + 0*u + 0 - 1/120*u**5 + 6*u**2. Factor t(x).
-(x + 1)*(x + 2)/2
Let -6*p**2 + 5599 - p**3 - 5591 + 2*p + p**4 + 2*p = 0. What is p?
-2, -1, 2
Factor -2/15*p**5 - 36/5*p**3 - 112/15*p + 184/15*p**2 + 0 + 26/15*p**4.
-2*p*(p - 7)*(p - 2)**3/15
What is f in -1/2*f**4 - 2*f**3 + 0*f + 0 - 3/2*f**2 = 0?
-3, -1, 0
Let u be (372/(-62) - (0 + -11)) + -4 + 1. Factor -1/5*p**u + 2/5*p - 1/5.
-(p - 1)**2/5
Solve 0 - 3*a**2 + 29/2*a**3 - 11/2*a**5 + 12*a**4 + 0*a = 0.
-1, 0, 2/11, 3
Let c(b) be the third derivative of b**5/48 - 5*b**4/6 + 35*b**3/6 - 245*b**2. Find m such that c(m) = 0.
2, 14
Let s(p) be the third derivative of p**7/630 + p**6/90 + p**5/36 + p**4/36 - 31*p**2 - 1. Factor s(y).
y*(y + 1)**2*(y + 2)/3
Let i(x) = 15*x**2 - x. Let a be i(1). Suppose -2*m - a = -4*m. Factor m*h**2 - 3*h**3 - 5*h - 7*h - h**2 + 6*h**2.
-3*h*(h - 2)**2
Let j(r) be the second derivative of -4/3*r**2 + 0 - 2*r**3 - 7/60*r**5 + 25*r - 5/6*r**4. Let j(z) = 0. What is z?
-2, -2/7
Let l = 3349 - 3345. Let q(o) be the first derivative of 3/14*o**l + 3/35*o**5 + 5 + 0*o**3 - 3/7*o**2 - 3/7*o. Factor q(t).
3*(t - 1)*(t + 1)**3/7
Let f(u) = -3*u**2 - 9*u + 24. Let p(i) = i**2 - i - 3. Let n(x) = -5*f(x) - 20*p(x). Factor n(l).
-5*(l - 12)*(l - 1)
Let t(k) = -76*k**3 + 2184*k**2 - 2948*k + 848. Let a(p) = -50*p**3 + 1456*p**2 - 1966*p + 565. Let z(s) = 8*a(s) - 5*t(s). Factor z(m).
-4*(m - 35)*(m - 1)*(5*m - 2)
Suppose -422*n**2 + 32*n**2 + 338*n + 54*n**3 - 786*n**4 + 784*n**4 = 0. What is n?
0, 1, 13
Let u(j) be the first derivative of -2*j**5/55 + 9*j**4/22 - 16*j**3/33 + 78. Find t, given that u(t) = 0.
0, 1, 8
Let m(y) be the second derivative of 0 + 40*y - 1/2*y**2 + 1/24*y**4 - 1/12*y**3. Factor m(i).
(i - 2)*(i + 1)/2
Suppose 4/5*c**2 - 2/5*c**3 + 6/5*c + 0 = 0. Calculate c.
-1, 0, 3
Factor 1/6*z**3 + 0*z**2 + 1/3 - 1/2*z.
(z - 1)**2*(z + 2)/6
Let o(m) be the first derivative of 0*m**2 + m**3 + 1/2*m**6 + 0*m + 9/4*m**4 + 2 + 9/5*m**5. Factor o(a).
3*a**2*(a + 1)**3
Let f be (-24)/(-84) - (-9)/(-7). Let y be (-12)/8*-2 - (f + 1). Factor 2/3*a + 2/3 - 2/3*a**2 - 2/3*a**y.
-2*(a - 1)*(a + 1)**2/3
Let p(c) = -3*c**4 - 29*c**3 + 39*c**2 - 11*c + 4. Let o(b) = 10*b**4 + 115*b**3 - 155*b**2 + 45*b - 15. Let t(f) = 4*o(f) + 15*p(f). Find a such that t(a) = 0.
0, 1, 3
Let h(u) be the first derivative of -4*u**3/3 + 2*u**2 + 8*u - 292. What is i in h(i) = 0?
-1, 2
Suppose -31*d = 13 - 199. Let y(j) be the first derivative of -1/6*j**4 + 0*j**2 + 4/27*j**3 + 0*j + 0*j**5 - 4 + 1/27*j**d. Factor y(v).
2*v**2*(v - 1)**2*(v + 2)/9
Let p(k) be the first derivative of -6*k**5/35 - 15*k**4/14 - 12*k**3/7 + 33. Solve p(i) = 0.
-3, -2, 0
Solve 1/3*n**2 + 1 + 4/3*n = 0 for n.
-3, -1
Let l(x) = -25*x**3 - 106*x**2 + 591*x - 810. Let f(r) = -20*r**3 - 105*r**2 + 590*r - 810. Let c(v) = 6*f(v) - 5*l(v). Solve c(b) = 0.
2, 9
Let p(f) be the first derivative of -f**4 - 22 + 0*f + 0*f**2 + 4/3*f**3. Factor p(h).
-4*h**2*(h - 1)
Let m(t) = 12 - t**2 + 9*t**2 + 9*t**2 + 412*t - 451*t. Let w(k) = 6*k**2 - 13*k + 4. Let r(d) = 3*m(d) - 8*w(d). Factor r(p).
(p - 4)*(3*p - 1)
Let j(u) be the second derivative of -4*u**5/5 - 11*u**4/6 - u**3 - 65*u. Determine t, given that j(t) = 0.
-1, -3/8, 0
Let z(u) be the second derivative of 5929*u**4/3 + 616*u**3/3 + 8*u**2 + 44*u. Solve z(s) = 0 for s.
-2/77
Let r(f) be the first derivative of 2*f**5/5 + 9*f**4/2 + 56*f**3/3 + 36*f**2 + 32*f - 247. Factor r(t).
2*(t + 1)*(t + 2)**2*(t + 4)
Let s(f) = f**3 - f + 1. Let n(o) = 12*o**3 - 10*o**2 - 30*o + 6. Suppose 0*j - 5 = -j, 3*i + 5*j = 31. Let a(h) = i*n(h) - 28*s(h). Let a(b) = 0. What is b?
-2, -1
Let c(x) be the first derivative of 1/60*x**5 + 0*x**2 + 3 - 5*x + 1/18*x**3 + 1/18*x**4. Let w(v) be the first derivative of c(v). Let w(f) = 0. Calculate f.
-1, 0
Let p(j) = -2*j**3 + 7*j - 13*j - 2 + 3*j. Let c be p(-1). Determine i so that -6 + i**c - 2*i**3 - i**2 + 6 = 0.
-1, 0
Let g(j) be the second derivative of -j**7/1008 + j**6/144 + 2*j**3/3 + 33*j. Let s(k) be the second derivative of g(k). Factor s(m).
-5*m**2*(m - 3)/6
Let z(c) = 5*c - 10. Let w be z(-8). Let n = w - -52. Solve -2/11*k**n + 4/11 - 2/11*k = 0.
-2, 1
Let i(u) be the first derivative of -1/25*u**5 + 2*u**2 + 0*u - 1/300*u**6 - 8/15*u**3 - 1/5*u**4 - 2. Let l(m) be the second derivative of i(m). Factor l(v).
-2*(v + 2)**3/5
Factor 0 + 1/6*f**4 + 5/6*f**2 - 1/3*f - 2/3*f**3.
f*(f - 2)*(f - 1)**2/6
Let g(d) be the third derivative of d**5/140 - 12*d**4/7 + 1152*d**3/7 - 236*d**2. Solve g(w) = 0 for w.
48
Let q(x) = -x - 15. Let a be 121/(-7) + (-8)/(-28). Let y be q(a). What is g in y*g - 6*g + g**2 - 13 + 17 = 0?
2
Let a(g) = -3*g**3 + 3*g**2 + 10*g - 10. Suppose u + 10 = 3*u. Let b(l) = -2*l**3 + 2*l**2 + 7*l - 7. Let q(y) = u*a(y) - 7*b(y). Factor q(s).
-(s - 1)**2*(s + 1)
Let i(j) be the second derivative of -j**4/4 + 27*j**2/2 - 2*j - 7. What is l in i(l) = 0?
-3, 3
Let p = 3 + 0. Suppose 4*r = 5*g - 2, p*g - 6 = -2*r + 2*g. Factor 0*v + 0 + 1/2*v**4 + v**3 + 1/2*v**r.
v**2*(v + 1)**2/2
Suppose 2*a = 4*j - 4, 2*j - 4*a + 5*a - 2 = 0. Let f be (j - 3)*(-24)/16. Solve 6/5*m**2 + 0*m - 4/5*m**f - 2/5 = 0.
-1/2, 1
Let n be (-1)/(4/(-102))*6. Suppose 2*m + 6 = 0, -p = 3*p + 5*m - n. Find c, given that p*c**2 - 2*c**3 - 30*c**2 - 24*c**2 - 11*c - 7*c = 0.
-3, 0
Let g be 40665/(-4950) - (-4)/22. Let k = g + 49/6. Factor -k*l**4 + 4/15*l**2 - 2/15*l + 4/15*l**3 - 2/15 - 2/15*l**5.
-2*(l - 1)**2*(l + 1)**3/15
Let s(t) be the first derivative of -15*t**6/2 + 183*t**5/5 - 133*t**4/2 + 160*t**3/3 - 16*t**2 + 18. Solve s(p) = 0 for p.
0, 2/5, 1, 4/3
Let 0*m - 3*m + 12*m**2 - 1 + 209*m**3 - 206*m**3 - 11 = 0. What is m?
-4, -1, 1
Let t(u) = 5*u**2 - 14*u. Let h be t(3). Let l(p) be the second derivative of -3/8*p**4 + p**2 + 4*p + 7/40*p**5 - p**h + 0. Suppose l(v) = 0. Calculate v.
-1, 2/7, 2
Let t = 21/1961 + 5841/3922. Solve 50/3*s + t*s**3 - 14*s**2 - 16/3 = 0.
2/3, 8
Let u(d) = -9*d**4 + 16*d**3 + 14*d**2 - 10*d - 11. Let o(s) = -80*s**4 + 145*s**3 + 125*s**2 - 90*s - 100. Let j(n) = 6*o(n) - 55*u(n). Factor j(b).
5*(b - 1)**2*(b + 1)*(3*b + 1)
Let s(n) be the first derivative of n**6/24 + n**5/6 - 5*n**4/6 - 20*n**3/3 - 5*n**2 + 4. Let v(i) be the second derivative of s(i). Factor v(x).
5*(x - 2)*(x + 2)**2
Let n(z) = 21*z + 89. Let x be n(-4). Let -1/3*k**4 + 0 + 0*k**3 + 0*k - 1/3*k**x + 0*k**2 = 0. Calculate k.
-1, 0
Let x be 2/((-30)/5) + (-10)/(-3). Determine a so that a**x - 5*a**3 + 5*a**2 + a**2 + 6*a**2 - 8*a = 0.
0, 1, 2
Suppose -59*g + 127 - 127 = 0. Factor 5/2*k**2 + 3/2*k**4 - 1/4*k**5 - 3*k**3 - 3/4*k + g.
-k*(k - 3)*(k - 1)**3/4
Let b(y) be the first derivative of 0*y + 6 + 8/5*y**2 + 1/2*y**4 + 44/15*y**3. Let b(i) = 0. Calculate i.
-4, -2/5, 0
Let u = 376 - 751/2. Let c(b) be the first derivative of u*b**2 - 1/2*b - 1/6*b**3 + 3. Factor c(w).
-(w - 1)**2/2
Let 