m + 0 - 7*m**2 - 1/14*m**4 + 1/70*m**5 - 4/7*m**3. Factor v(l).
3*(l - 2)*(l + 2)**2/7
Let i(j) be the second derivative of 5*j**4/12 - 8920*j**3/3 + 7956640*j**2 - 9*j - 5. Factor i(y).
5*(y - 1784)**2
Factor 55*x**3 - 94*x**3 + 43*x**3 - 5376*x**2 - 359661568 + 2408448*x.
4*(x - 448)**3
Suppose 465*z - 468*z = -3*s + 45, 3*z = 5*s - 75. Let z + 4/9*u - 62/9*u**2 = 0. Calculate u.
0, 2/31
Let a be ((-924)/18)/((-10)/15). Determine o so that 253*o**3 - a*o**3 - 36 - 160*o**4 - 204*o + 232*o**2 - 36 + 28*o**5 = 0.
-1, -2/7, 1, 3
Let w = -1207 - -1261. Let z be (-4*3/w)/((-4)/6). Suppose 0*y + 1/3 - z*y**2 = 0. What is y?
-1, 1
Let l(f) be the third derivative of f**6/120 + 59*f**5/10 + 235*f**4/8 + 176*f**3/3 + 122*f**2 - 4. Determine d so that l(d) = 0.
-352, -1
Let s be 2*(2 + 1*-1). Let g(r) = -r**3 + 5*r**2 + 76*r - 216. Let w be g(3). Factor -30 - 5*v**s + 9*v + w*v - 4*v.
-5*(v - 6)*(v - 1)
Let c(h) be the third derivative of -h**8/1680 - 8*h**7/175 + h**6/600 + 4*h**5/25 + 1858*h**2. Find n, given that c(n) = 0.
-48, -1, 0, 1
Let o = 1844739/2 + -922369. Find t, given that -13/2*t - 1/2*t**2 + o*t**4 + 0 + 13/2*t**3 = 0.
-13, -1, 0, 1
What is b in -100*b + 8*b**2 + 13*b**2 + 12*b**2 + 5*b**2 - 34*b**2 + 336 = 0?
4, 21
Let r(k) be the first derivative of 1/10*k**6 - 18/5*k**2 + 24/5*k - 2/5*k**3 + 47 + 33/20*k**4 - 18/25*k**5. Factor r(w).
3*(w - 2)**3*(w - 1)*(w + 1)/5
Let z(n) be the second derivative of 361/50*n**6 + 1/5*n**4 + 0*n**2 + 16 - 57/25*n**5 + 0*n**3 + 3*n. Factor z(a).
3*a**2*(19*a - 2)**2/5
Let z(f) = 11*f**3 - 80*f**2 + 401*f - 744. Let b(a) = -120*a**3 + 880*a**2 - 4415*a + 8185. Let p(c) = -6*b(c) - 65*z(c). Find i, given that p(i) = 0.
5, 6
Solve 45/4 - 21/4*u + 3/4*u**5 - 33/2*u**2 + 9/2*u**3 + 21/4*u**4 = 0.
-5, -3, -1, 1
Determine c, given that -85 + 1/3*c**2 + 46/3*c = 0.
-51, 5
Let g(n) be the first derivative of 4*n**6/21 + 118*n**5/35 + 197*n**4/14 + 62*n**3/21 - 381*n**2/7 + 180*n/7 + 1648. Find c, given that g(c) = 0.
-10, -3, 1/4, 1
Let i(y) be the third derivative of -y**7/840 + 13*y**6/480 - 3*y**5/40 - 13*y**4/24 + 11*y**3/3 - 17*y**2 - 7*y. Let i(h) = 0. What is h?
-2, 2, 11
Let s(w) be the first derivative of -102 + 2*w + 9/8*w**2 + 1/12*w**3. Factor s(g).
(g + 1)*(g + 8)/4
Let b(h) be the second derivative of -1/4*h**5 + 10*h**2 - 5/12*h**4 - 19 + 10/3*h**3 - 3*h. Factor b(i).
-5*(i - 2)*(i + 1)*(i + 2)
Let n be (1385/475)/(16/20) + (-8)/(-76). Let q(j) be the first derivative of n*j**4 + 20/3*j**3 - 25/2*j**2 - 20 - 10*j. Solve q(o) = 0 for o.
-2, -1/3, 1
Let y(z) = 6*z**4 + 480*z**3 - 978*z**2 + 474*z + 18. Let t(s) = 3*s**4 + 240*s**3 - 489*s**2 + 236*s + 10. Let f(u) = 9*t(u) - 5*y(u). Factor f(v).
-3*v*(v - 1)**2*(v + 82)
Let u(y) = 3*y**4 + 6*y**3 + 6*y**2 + 30. Suppose -t - 4*a + 1 = 0, -4*a + 4 = 4*t - 0. Let f(g) = g**3 + 2. Let k(p) = t*u(p) - 15*f(p). Factor k(i).
3*i**2*(i - 2)*(i - 1)
Let j = -231 - -411. Suppose -3*l = 33*l - j. Determine w so that -5/3*w**3 + 11/3*w**4 + 0 - 2/3*w**2 + 0*w - 4/3*w**l = 0.
-1/4, 0, 1, 2
Let y(p) = -p**2 + 2*p + 11. Let v be y(4). Let n be -29 + 37 + (-18)/v. What is d in -18/11*d - 10/11*d**n + 4/11 = 0?
-2, 1/5
Let l(u) be the third derivative of u**9/60480 + u**8/20160 + 43*u**5/60 - u**4/12 - 8*u**2 + 2. Let v(o) be the third derivative of l(o). Factor v(h).
h**2*(h + 1)
Let o(m) be the second derivative of 0*m**2 + 68*m + 3/80*m**5 - 5/4*m**4 + 0 - 21/8*m**3. Let o(v) = 0. Calculate v.
-1, 0, 21
Let k(l) = -10*l + 27. Let p be k(0). Let o be (0 + p/(-18))*1*-2. Factor 2/9*t**5 - 8/9*t**2 - 4/9*t**4 + 0 - 14/9*t**o + 0*t.
2*t**2*(t - 4)*(t + 1)**2/9
Let l(o) be the third derivative of o**6/40 - o**5 + 67*o**4/8 - 24*o**3 + 70*o**2 - 2*o. Factor l(c).
3*(c - 16)*(c - 3)*(c - 1)
Let x(j) = j**3 + 23*j**2 - 34*j + 4. Let t(r) be the first derivative of -r**4/4 - 26*r**3/3 + 18*r**2 - 5*r - 147. Let b(i) = 4*t(i) + 5*x(i). Factor b(a).
a*(a - 2)*(a + 13)
Suppose -556*a + 2*a**5 + 584*a - 150*a**2 + 145*a**3 + 31 + 5*a**5 - 54*a**4 - 7 = 0. Calculate a.
-2/7, 1, 2, 3
Let i(h) = -7*h**3 - 51*h**2 - 275*h - 195. Let a(t) = -2*t**3 - t**2 - 5*t. Let p(c) = -6*a(c) + i(c). Determine u, given that p(u) = 0.
-3, -1, 13
Find x such that 1/4*x + 45 - 1/4*x**3 - 45*x**2 = 0.
-180, -1, 1
Let g(a) = -2*a**2 - 210*a + 236. Let f(j) = 5*j**2 + 629*j - 702. Let h(v) = 6*f(v) + 17*g(v). Factor h(s).
-4*(s - 50)*(s - 1)
Let -382/7*x**3 - 472/7*x**2 + 0 - 104/7*x - 2*x**4 = 0. What is x?
-26, -1, -2/7, 0
Let m(c) = 26*c - 22. Let s be m(3). Factor 8*k - 4*k**2 - 6 + s*k - 250.
-4*(k - 8)**2
Let a = -161 + 166. Let t = 0 + 0. Find b, given that -50*b**3 + t*b**5 + 0*b**5 + 45*b**3 - 5*b**a - 10*b**4 = 0.
-1, 0
Determine x so that -43 + 8237*x**2 + 783 - 16474*x**2 - 168*x + 8241*x**2 = 0.
5, 37
Let a be -18 - ((-1360)/70 - 132/231). Suppose 2*v + 4 - 8 = 5*f, v = -4*f + 2. Factor 6 + v*j - 1/2*j**a.
-(j - 6)*(j + 2)/2
Let g(q) = -12*q + 15. Suppose 5*r + 4*c = 5*c + 7, 3*r - 11 = 4*c. Let u(t) = -t**2 + t + 1. Let i(k) = r*g(k) - 3*u(k). Suppose i(p) = 0. What is p?
1, 4
Suppose 15*o - 87 = -5*o - 7. Let l(a) be the first derivative of 3/4*a**o + 9/5*a**5 - 9*a**3 - 6*a + 17 - 27/2*a**2. What is i in l(i) = 0?
-1, -1/3, 2
Let a(s) be the first derivative of -s**4 - 232*s**3/3 - 1126*s**2 - 2024*s - 7166. What is o in a(o) = 0?
-46, -11, -1
Let l = 1141/1845 - -436/369. Factor -12/5*g**2 + 6/5*g + 3/5*g**4 - 6/5*g**3 + l.
3*(g - 3)*(g - 1)*(g + 1)**2/5
Let m(f) be the second derivative of -f**9/45360 + f**7/2520 - f**6/1080 + 7*f**4/12 + 5*f - 8. Let b(o) be the third derivative of m(o). Factor b(v).
-v*(v - 1)**2*(v + 2)/3
Let c(u) be the second derivative of u**5/20 - 91*u**4/12 - 185*u**3/6 - 93*u**2/2 + 3*u + 693. Factor c(p).
(p - 93)*(p + 1)**2
Let h(d) be the second derivative of -54 + 1/27*d**4 - 2/9*d**2 - 2/45*d**5 + 1/189*d**7 + 1/9*d**3 + 0*d**6 - 3*d. What is l in h(l) = 0?
-2, -1, 1
Solve -124*s**2 - 2*s**2 - 51*s**2 + 2*s**3 - 6*s**3 + s**3 = 0.
-59, 0
Let z be (6 - (1 - -1)) + -1. Suppose 0 = -0*p + 2*p - z*c - 8, -5*p + 20 = c. Factor -3 - 8*t**2 - p*t - 3 + 10*t**2.
2*(t - 3)*(t + 1)
Suppose -4*c + 4*a = -188, 4*c = -a - 24 + 197. Determine d, given that 15*d**2 + 162*d - c + 33*d - 11 - 35*d = 0.
-11, 1/3
Let t be (63 - (-22819)/95) + 2*8. Factor -164/5*b**2 - t*b - 4/5*b**3 + 1764/5.
-4*(b - 1)*(b + 21)**2/5
Factor -50/3*j**2 - 304/3 + 244/3*j + 2/3*j**3.
2*(j - 19)*(j - 4)*(j - 2)/3
Let i = 1463 + -1457. Let c(g) be the third derivative of 0*g + 0*g**5 - 7/30*g**4 + 39*g**2 + 1/150*g**i - 4/5*g**3 + 0. Factor c(r).
4*(r - 3)*(r + 1)*(r + 2)/5
Let q(o) be the second derivative of -5*o**7/14 - 13*o**6/6 + 701*o**5/4 + 4745*o**4/12 + 595*o**3/3 + 877*o - 2. Solve q(h) = 0.
-17, -1, -1/3, 0, 14
Let t be 18/(-10)*(-990)/297. Let h be (((-264)/11)/t)/(-6). Factor -h*q**3 + 2/3 + 2*q**2 - 2*q.
-2*(q - 1)**3/3
Let j be -4*(-1 - (-3)/12). Let 226*d**5 - 221*d**5 - 12*d**3 + 13*d**2 - 8*d**3 + 15*d - 10 - j*d**2 = 0. What is d?
-2, -1, 1
Let d(o) = -13*o**3 - 8*o**2 + 6*o + 1. Let x be d(1). Let r be -91*72/(-2940) - 8/x. Factor -r*b**3 + 2*b**4 + 0 + 0*b + 4/5*b**2.
2*b**2*(b - 1)*(5*b - 2)/5
Let g(f) be the third derivative of -27*f**8/56 - 279*f**7/35 - 303*f**6/80 + 139*f**5/10 - 139*f**4/16 + 5*f**3/2 + 4706*f**2 - f. Suppose g(p) = 0. What is p?
-10, -1, 1/6, 1/3
Let g(y) be the third derivative of 16/5*y**5 + 0*y + 0 - 20*y**2 + 32/3*y**3 + 1/30*y**6 - 8/105*y**7 - 38/3*y**4. Determine c, given that g(c) = 0.
-4, 1/4, 2
Factor -3/4*z**2 - 39/4*z**3 + 1/4*z**4 - 39/2 + 119/4*z.
(z - 39)*(z - 1)**2*(z + 2)/4
Let x(d) be the third derivative of 0*d + 13/10*d**5 + 23*d**3 - 1/40*d**6 + 0 - 71/8*d**4 + 9*d**2. Suppose x(n) = 0. What is n?
1, 2, 23
Let p(y) be the first derivative of -y**7/60 - y**6/48 + 2*y**5/15 - y**4/12 + 8*y**2 + 24. Let r(g) be the second derivative of p(g). Factor r(m).
-m*(m - 1)*(m + 2)*(7*m - 2)/2
Let j(h) = -11*h**3 + 228*h**2 - 649*h + 438. Let n(s) = 12*s**3 - 226*s**2 + 643*s - 436. Let v(f) = -7*j(f) - 6*n(f). Factor v(k).
5*(k - 45)*(k - 2)*(k - 1)
Suppose -11680/7*i + 8526400/7 + 4/7*i**2 = 0. Calculate i.
1460
Let i(f) = -7*f**2 - 203*f + 40. Suppose 627 = -15*p + 192. Let b be i(p). What is v in -72*v**2 + 54*v**3 - 27/2*v**