 = 0.
-1, 2
Let p(r) be the third derivative of 0*r**3 + 1/30*r**5 + 0*r + 0 - 12*r**2 - 1/6*r**4. Suppose p(g) = 0. What is g?
0, 2
Let p = -4234 + 4237. Determine d, given that 10/11*d - 2/11 - 14/11*d**2 + 6/11*d**p = 0.
1/3, 1
Let 1/2*f**2 + 0*f + 5/2*f**3 + 3/2*f**5 + 7/2*f**4 + 0 = 0. Calculate f.
-1, -1/3, 0
Let l be (-4496)/(-5058) - ((-4)/18)/1. Find i such that 0 - 2/9*i**4 + 4/9*i + 8/9*i**3 - l*i**2 = 0.
0, 1, 2
Let k(f) = 3*f**2 + 12*f + 8. Let p(z) = 9*z**2 - z**2 - 7*z**2. Let h(y) = k(y) + p(y). Factor h(l).
4*(l + 1)*(l + 2)
Let y be (4/(-26))/(2/(-26)). Let w(a) be the first derivative of 8 - 8/5*a - 2/15*a**3 - a**y. Factor w(p).
-2*(p + 1)*(p + 4)/5
Let x(g) be the first derivative of 42 - 3/2*g**4 - 5*g**3 - 3/2*g**2 + 6*g. Find p, given that x(p) = 0.
-2, -1, 1/2
Let c(m) be the third derivative of m**6/60 - 2*m**5/15 - m**2 - 17*m. Determine b so that c(b) = 0.
0, 4
Let n(z) = z**3 + 8*z**2 - 10*z - 6. Let v = -33 + 24. Let x be n(v). Factor 3*d**x + 9*d**3 - 10*d**3 + 2*d**2.
2*d**2*(d + 1)
Let d(w) be the second derivative of -w**4/4 + 22*w**3/3 - 14*w**2 - 4*w + 3. Find t, given that d(t) = 0.
2/3, 14
Let y be ((-24)/(-14) - 2) + (-2590)/(-490). What is p in 21/5*p**y + 42/5*p**2 - 12/5*p**3 - 9/5*p - 6/5 - 36/5*p**4 = 0?
-1, -2/7, 1
Let w(u) be the first derivative of -9*u**4/22 - 74*u**3/11 + 7*u**2 - 26*u/11 - 80. Suppose w(r) = 0. What is r?
-13, 1/3
Let x(a) be the first derivative of -23 - 3/8*a**4 + 0*a**3 + 0*a + 2/5*a**5 + 0*a**2 - 1/12*a**6. Find c such that x(c) = 0.
0, 1, 3
Let c(g) be the second derivative of -g**6/12 - 21*g**5/40 - 19*g**4/24 - g**3/4 - 13*g - 19. Factor c(b).
-b*(b + 1)*(b + 3)*(5*b + 1)/2
Let v(c) = c**2 + 3*c + 4. Let w be v(-3). Suppose b + w*b = 20. Let -2*y**5 - 3*y**4 - 4*y**5 + 2*y**2 - 6*y + b*y**2 - 3 + 2*y**3 + 10*y**3 = 0. Calculate y.
-1, -1/2, 1
Factor 1312 - 20*d**3 + 24*d**2 + 4*d**4 - 1312.
4*d**2*(d - 3)*(d - 2)
Let h = -6865/3 - -13735/6. Determine j, given that -h*j**3 + 25/6*j**2 - 35/6*j + 5/2 = 0.
1, 3
Let u(w) be the third derivative of -w**4/12 - w**3 - 3*w**2. Let b be u(-7). Suppose -3*n**3 + b + 10*n**2 + 5*n**2 + 4 - 2*n - 22*n = 0. Calculate n.
1, 2
Let b(v) be the second derivative of 2*v**6/35 + 10*v**5/7 + 17*v**4/3 + 200*v**3/21 + 8*v**2 - 4*v. Let b(m) = 0. What is m?
-14, -1, -2/3
Let d = 10847/1175 - 231/25. Let b = d - -709/470. Find t, given that 9/2 - 3*t - b*t**2 = 0.
-3, 1
Let n(y) be the second derivative of 1/90*y**5 + 125/9*y**2 + 25/9*y**3 + 0 + 13*y + 5/18*y**4. Factor n(t).
2*(t + 5)**3/9
Let j(v) be the third derivative of -v**7/420 + v**6/24 - 5*v**5/24 + v**2 + 26*v. Factor j(d).
-d**2*(d - 5)**2/2
Let g(s) be the third derivative of s**5/45 - s**4/6 - 20*s**3/9 - 86*s**2. Factor g(z).
4*(z - 5)*(z + 2)/3
Let s(u) be the first derivative of -u**5/40 - 5*u**4/4 - 25*u**3 - 250*u**2 - 29*u - 29. Let l(o) be the first derivative of s(o). Solve l(m) = 0 for m.
-10
Let c = 161/375 - 11/375. Factor -2/5*q**3 + c*q - 1/5 + 1/5*q**4 + 0*q**2.
(q - 1)**3*(q + 1)/5
Let f(k) be the second derivative of 0*k**2 + 9 - 1/10*k**5 + 3*k - 2/3*k**3 + 1/2*k**4. Solve f(r) = 0.
0, 1, 2
Let r(m) = 4*m**5 - 8*m**4 + 6*m**3 + 8*m**2 + 10*m + 5. Let t(l) = 5*l**5 - 8*l**4 + 7*l**3 + 8*l**2 + 12*l + 6. Let z(c) = 6*r(c) - 5*t(c). Factor z(u).
-u**2*(u - 1)*(u + 1)*(u + 8)
Let s(i) = -i**2 + 2. Let k be s(2). Let v be 3/k - (-38)/20. Solve 0*f**2 + v*f**4 + f**3 - f - 2/5 = 0 for f.
-2, -1, -1/2, 1
Solve -22/3*f - 14 + 6*f**2 - 2/3*f**3 = 0.
-1, 3, 7
Let i be (-2)/(-4)*(0 - (-1 + 1)). Suppose i*m + 5*m - 15 = 0. Solve 27/2*g**2 + 81/2 + 81/2*g + 3/2*g**m = 0 for g.
-3
Suppose 556 = -4*y + 4*b, -2*y + 0*b - 275 = -5*b. Let d be (-152)/y + (-16)/20. Determine s so that 0*s - d*s**2 + 8/7 = 0.
-2, 2
Let l(n) be the second derivative of n**7/42 - n**6/5 + 3*n**5/5 - 5*n**4/6 + n**3/2 + 49*n + 1. Factor l(z).
z*(z - 3)*(z - 1)**3
Suppose -4*i + 2*i = -3*k + 4, 0 = k + 2*i - 12. Suppose 3*z - k*z = -2. Suppose 18*t - 12*t**z - 3*t - 6 + 24*t**3 - 21*t**3 = 0. What is t?
1, 2
Let w(f) be the first derivative of f**3/5 + 231*f**2/10 - 182. Solve w(v) = 0 for v.
-77, 0
Let u = -1 + 5. Let v be 2*(3 + 1)/u. Factor 16*w**2 - 12*w**v + w - 2*w + 9*w.
4*w*(w + 2)
Let t(o) be the first derivative of o**5/4 + 15*o**4/8 - 235*o**3/12 + 105*o**2/2 - 55*o - 204. Find m such that t(m) = 0.
-11, 1, 2
Let k(a) be the second derivative of 0 - 1/105*a**5 + 0*a**3 - 1/315*a**6 + 29*a + 1/42*a**4 + 0*a**2. Determine t so that k(t) = 0.
-3, 0, 1
Let u(k) be the third derivative of -k**9/3024 + k**7/504 + k**4/2 - 5*k**2. Let p(g) be the second derivative of u(g). Find i such that p(i) = 0.
-1, 0, 1
Let h be ((-2)/35)/(1 - 7). Let n(l) be the third derivative of 1/15*l**6 + 0*l + 0 + 6*l**2 + 1/3*l**4 - 1/3*l**3 - h*l**7 - 1/5*l**5. Factor n(y).
-2*(y - 1)**4
Let c = -17/56 + 39/8. Find p, given that 0*p - 2/7*p**4 + 16/7*p**2 - c + 0*p**3 = 0.
-2, 2
Factor -68/9*i**2 + 0 + 2/9*i**3 + 22/3*i.
2*i*(i - 33)*(i - 1)/9
Let u be (1 - 34/(-8)) + 6/8. Suppose -30 = -5*k - 5*b, u*b - 3*b - 10 = k. Find l such that 0*l**2 - k*l**4 + 0 + 2/3*l**5 + 0*l + 4/3*l**3 = 0.
0, 1, 2
Let v(s) be the second derivative of -s**5/60 - 85*s**4/36 + s**3/18 + 85*s**2/6 + 250*s - 1. Solve v(m) = 0.
-85, -1, 1
Let p(r) be the first derivative of 4/15*r**3 - 3/10*r**4 + 0*r**2 - 8/5*r**5 + 7 + 0*r. Factor p(o).
-2*o**2*(4*o - 1)*(5*o + 2)/5
Factor 0*c - 4*c - 5*c**2 + 9*c + 60.
-5*(c - 4)*(c + 3)
Let v(q) be the first derivative of 4*q**3/3 - 44*q**2 + 160*q + 94. Factor v(f).
4*(f - 20)*(f - 2)
Let k = 72416/7 - 10336. Let -2/7*c**3 - 64/7*c + 20/7*c**2 + k = 0. Calculate c.
2, 4
Let r = 241 + -237. Let w(n) be the third derivative of 2*n**2 + 0 + 0*n - 1/180*n**5 - 1/72*n**r + 0*n**3. Find d such that w(d) = 0.
-1, 0
Suppose -5*w - 32 = -w. Let j be (-20)/w + (-2)/24*-2. Suppose j*u**3 + 0 - 10/3*u**2 + 2/3*u = 0. Calculate u.
0, 1/4, 1
Suppose -4*z = 2 - 18. Let m = z + -1. Factor -12*o**3 + 11*o**m + 9*o**3 - 4*o**4.
-4*o**3*(o - 2)
Let u(d) be the second derivative of -1/4*d**2 - 5/48*d**4 + 0 + 16*d - 11/24*d**3. Factor u(b).
-(b + 2)*(5*b + 1)/4
Let i(d) be the second derivative of d**4/12 + d**3/6 + 3*d**2/2 - d. Let s be i(0). Solve 4*u**2 + 4*u**2 - 3*u**3 - s*u**2 + 4*u - u**2 = 0.
-2/3, 0, 2
Let u be ((-7)/(-7))/((-2)/6). Let d be (0*u/(-6))/3. Factor 4*o**3 - 4*o + 5 - 2*o**4 - 3 + d*o**4.
-2*(o - 1)**3*(o + 1)
Suppose -f + 7 = l, f - 2 + 1 = l. Let q be 0 - 8/2 - (-18)/f. Solve q*r**4 + 7/2*r**3 + 10*r + 4 + 9*r**2 = 0.
-2, -1
Let t = 7/2 + -13/4. Suppose 5*g + 17 = 4*s, -4*g - 16 = 1242*s - 1246*s. Factor t*o + 0 + 1/2*o**2 - 3/4*o**s.
-o*(o - 1)*(3*o + 1)/4
Factor -4*l**2 + 6497 + 1686*l - 342*l - 119393.
-4*(l - 168)**2
Let k(f) be the first derivative of 9*f**4/4 + 4*f**3/9 + 149. What is h in k(h) = 0?
-4/27, 0
Suppose -10 = 26*t - 3 - 59. Solve 3/2 - p - 1/2*p**t = 0 for p.
-3, 1
Factor -384 + 432*d - 99/2*d**2 + 3/2*d**3.
3*(d - 16)**2*(d - 1)/2
Find z such that -4/3 - 8/3*z**2 - 2/3*z**3 - 10/3*z = 0.
-2, -1
Let z(n) be the second derivative of n**8/2240 - n**7/2520 - n**6/90 - n**5/30 - 13*n**4/6 + 17*n. Let v(f) be the third derivative of z(f). Factor v(b).
(b - 2)*(b + 1)*(3*b + 2)
Factor -120*v**2 + 540*v + 255*v**2 - 130*v**2 + 14580.
5*(v + 54)**2
Let u(c) = 3*c**2 - 42*c + 143. Let m(a) = -17*a**2 - 714 + 129*a + 2*a**2 + 81*a. Let x(d) = 4*m(d) + 21*u(d). Solve x(b) = 0 for b.
7
Let k = -5/94 - -76/987. Let a(y) be the second derivative of 0*y**2 + 0 + k*y**4 + 4*y - 1/35*y**5 + 1/105*y**6 + 0*y**3. Factor a(x).
2*x**2*(x - 1)**2/7
Let z(l) be the third derivative of l**8/560 - 7*l**6/200 + l**5/50 + 3*l**4/10 - 4*l**3/5 - 231*l**2. Determine n, given that z(n) = 0.
-2, 1, 2
Let r = 1471 - 1469. Factor 1/4*v**5 + 5/4*v**r - 1/2*v - 1/4*v**4 + 0 - 3/4*v**3.
v*(v - 1)**3*(v + 2)/4
Let a = -30 - -36. Let c be (a/(-4))/((-5)/2 + 2). Factor 1/2*y**5 - 3/2*y**c + 0 + 0*y + 0*y**2 + y**4.
y**3*(y - 1)*(y + 3)/2
Let x(g) be the first derivative of -1 - 4/5*g**5 - 2/3*g**3 + 0*g**2 - 9/4*g**4 + 0*g. Factor x(r).
-r**2*(r + 2)*(4*r + 1)
Let j(m) = 10*m**4 + 360*m**3 - 3047*m**2 + 5051*m - 2352. Let z(n) = 4*n**4 + 120*n**3 - 1016*n**2 + 1684*n - 784. Let y(g) = 4*j(g) - 11*z(g). Factor y(c).