v(m) be the second derivative of 2*m**7/315 - 4*m**5/15 + 8*m**4/9 - 135*m**2/2 - 147*m - 2. Let q(y) be the first derivative of v(y). Factor q(g).
4*g*(g - 2)**2*(g + 4)/3
Suppose 1989/2*y + 3/2*y**2 + 0 = 0. Calculate y.
-663, 0
Let l = -68455 - -68457. Factor 0 - 8/7*v**l - 8/7*v - 2/7*v**3.
-2*v*(v + 2)**2/7
Let u = -22 + 23. Suppose 4*x - r = 46, -x + 2*r = 7*r - u. Factor -h - 5*h**3 - 3*h + 20*h**2 - x*h.
-5*h*(h - 3)*(h - 1)
Let j(n) be the first derivative of -8*n - 3*n**2 + 16 + 1/4*n**4 - 1/2*n**3. Let g(s) be the first derivative of j(s). What is t in g(t) = 0?
-1, 2
Determine y so that -2/9*y**5 + 196/9*y**2 + 124/9*y**3 + 134/9*y + 34/9 + 26/9*y**4 = 0.
-1, 17
Let b(q) be the second derivative of q**6/50 + 27*q**5/50 + 17*q**4/5 + 3*q**3 - 351*q**2/10 - 1581*q. Suppose b(g) = 0. What is g?
-13, -3, 1
Let n(r) be the first derivative of 0*r**2 + 0*r + 0*r**3 - 32/5*r**5 - 4*r**4 + 10/3*r**6 + 49. Factor n(j).
4*j**3*(j - 2)*(5*j + 2)
Let 2/15*z**5 + 158/15*z**2 - 2*z**4 + 0 + 68/5*z - 26/5*z**3 = 0. What is z?
-3, -1, 0, 2, 17
Let k(w) be the second derivative of w**6/15 - 11*w**5/10 - 26*w**4 + 528*w**3 + 1728*w**2 + 2*w - 705. Determine b so that k(b) = 0.
-12, -1, 12
Let p be ((-658)/(-35))/(2/145). Let m = p + -1361. Factor -6/7*f**3 - 30/7*f + 32/7*f**m - 36/7.
-2*(f - 3)**2*(3*f + 2)/7
Let a be (-4 + 12/6)/((-6)/9). Factor 17*f**5 - f**3 + 19*f**5 + a*f**2 + 10*f**5 - 45*f**5 - 3*f**4.
f**2*(f - 3)*(f - 1)*(f + 1)
Let w(d) be the first derivative of -2*d**5 - 36*d**4 - 210*d**3 - 344*d**2 + 672*d + 5748. Determine k so that w(k) = 0.
-7, -4, 3/5
Let m(p) = 367*p**2 + 46808*p + 36550804. Let u(q) = -67*q**2 - 9362*q - 7310161. Let s(a) = 2*m(a) + 11*u(a). Factor s(y).
-3*(y + 1561)**2
Let r(y) be the first derivative of -5/2*y**2 + 3/8*y**3 - 3/2*y - 89 + 7/32*y**4. Suppose r(p) = 0. Calculate p.
-3, -2/7, 2
Let g be 0/1 + (-1600)/432. Let k = g + 788/135. Solve 16/15*m - 2/15*m**2 - k = 0.
4
Let j be -60*2*86/(-2193). What is n in 234/17*n**2 + 90/17*n**5 - 24/17 - 258/17*n**4 + j*n - 122/17*n**3 = 0?
-2/3, 1/5, 1, 3
Let c = 85 - 45. Suppose 3*z - 80 = -5*g, 6*z - 5*g - c = 3*z. Determine n, given that -3*n**2 + 0*n + 23 + 3*n - z + 3*n**3 - 6*n = 0.
-1, 1
Let u(f) be the third derivative of -f**8/336 + 33*f**7/70 + 101*f**6/40 + 61*f**5/12 + 17*f**4/4 - 87*f**2 - 2. Find s, given that u(s) = 0.
-1, 0, 102
Let x(n) be the first derivative of n**6/66 + 4*n**5/11 - n**4 + 2*n**3/33 + 43*n**2/22 - 2*n + 1821. Factor x(y).
(y - 1)**3*(y + 1)*(y + 22)/11
Suppose -271 = -331*u + 26 - 87 + 452. Factor 3*c**3 - 132/7*c**u + 225/7*c - 54/7.
3*(c - 3)**2*(7*c - 2)/7
Let p(n) be the second derivative of -2*n**6/15 + 34*n**5/5 - 28*n**4/3 - 108*n**3 - 198*n**2 - 2203*n. Let p(d) = 0. Calculate d.
-1, 3, 33
Let z = 707/2094 + -3/698. Let q(g) be the first derivative of -z*g**3 + 3/5*g - 1/5*g**2 - 15 + 1/5*g**4. Factor q(c).
(c - 1)**2*(4*c + 3)/5
Suppose 3*x + 3 = -4*g + 25, 0 = -x - g + 6. Factor -75*o - 4895*o**x + 4817*o**2 + 0 - 3*o**3 + 0.
-3*o*(o + 1)*(o + 25)
Suppose 0 = t - 52 + 50. Suppose -2*g + h + 19 = t*g, -2*h = -g + 3. Suppose 2*v**4 - 8/3*v**2 + 2/3*v**g + 0*v + 0*v**3 + 0 = 0. Calculate v.
-2, 0, 1
Factor -428*q - 52006*q**2 + 17387 + 5511 + 52008*q**2.
2*(q - 107)**2
Let h(x) be the third derivative of -x**5/12 - 3835*x**4/24 - 1915*x**3/3 + 6967*x**2. Factor h(m).
-5*(m + 1)*(m + 766)
Let u(o) be the first derivative of -2/9*o**3 - 61 - 14/3*o**2 - 98/3*o. Let u(q) = 0. What is q?
-7
Let r = 100937 + -100935. Find b, given that 2/3*b - 2*b**2 - 2/3*b**3 + r = 0.
-3, -1, 1
Let q(j) be the third derivative of 0*j**3 + 1/120*j**5 + 0*j - 19*j**2 + 0 + 5/48*j**4. Factor q(b).
b*(b + 5)/2
Let m = 915801/13 + -70443. Find k, given that -110/13*k**3 - 2/13 - 114/13*k**2 - 36/13*k**4 - m*k = 0.
-1, -1/18
Let d(o) be the first derivative of -3*o**4/4 + 36*o**3 - 645*o**2/2 - 756*o + 131. Factor d(s).
-3*(s - 28)*(s - 9)*(s + 1)
Factor 0*o - 463*o**2 - 1/4*o**3 + 0.
-o**2*(o + 1852)/4
Find u such that 2*u**4 - 52528*u + 298928*u + 3*u**4 + 125304*u**2 - 12*u**4 + 11*u**4 + 122500 + 1408*u**3 = 0.
-175, -1
Let s = 656681/10730 + -1/2146. Let n = s + -5192/85. Factor 0 - n*k**4 + 0*k + 2/17*k**2 + 0*k**3.
-2*k**2*(k - 1)*(k + 1)/17
Let o(j) be the second derivative of -j**4/8 + 235*j**3/4 + 177*j**2 + 142*j - 15. Find b such that o(b) = 0.
-1, 236
Let z(v) be the second derivative of -1/78*v**4 + 1/273*v**7 + v - 3 + 0*v**3 - 1/130*v**5 + 0*v**2 + 1/195*v**6. Suppose z(u) = 0. What is u?
-1, 0, 1
Let w = -47807 - -334651/7. Solve 0*l + w*l**4 - 16/7*l**2 + 0 - 4/7*l**3 = 0.
-2, 0, 4
Let w(c) be the third derivative of -c**8/504 - 19*c**7/315 - 113*c**6/180 - 221*c**5/90 - 7*c**4/2 - 8*c**2 + 11*c + 4. Let w(m) = 0. Calculate m.
-9, -7, -2, -1, 0
Let q(s) be the second derivative of s**4/3 + 374*s**3/3 + 372*s**2 - 2*s - 33. Factor q(b).
4*(b + 1)*(b + 186)
Suppose 75*j**3 - 25*j**2 - 77*j + 60 + 5*j**5 + 2335*j**4 - 2370*j**4 - 3*j = 0. Calculate j.
-1, 1, 2, 3
Let z(n) = -n**3 + 18*n**2 - 41*n - 46. Let s be z(15). Determine c so that 3716*c**2 + s*c - 3718*c**2 + 14 - 9 + 11 = 0.
-1, 8
Let l(b) = 5*b**2 + 7*b - 3. Let u(r) = r**2 + r + 1. Let g(a) = l(a) - 4*u(a). Let d be g(-5). Factor 1/6 + 1/6*o**d - 1/6*o - 1/6*o**2.
(o - 1)**2*(o + 1)/6
Let x(l) be the second derivative of -l**5/110 - 215*l**4/66 - 1259*l**3/33 - 95*l**2 - 26*l - 2. Suppose x(z) = 0. Calculate z.
-209, -5, -1
Let r(o) be the first derivative of -o**7/1120 + o**6/96 + o**5/20 - 3*o**4/8 - 41*o**3/3 + 125. Let n(s) be the third derivative of r(s). Factor n(y).
-3*(y - 6)*(y - 1)*(y + 2)/4
Let j be (-13)/((-1365)/(-2282)) + 10/(-15). Let f = j - -116/5. Factor 2/5 - 6/5*a**4 + f*a**2 - 6/5*a + 2/5*a**5 + 4/5*a**3.
2*(a - 1)**4*(a + 1)/5
Let h(c) be the third derivative of -c**5/30 - 5*c**4/3 - 25*c**3 - 379*c**2 + 2*c. Solve h(l) = 0.
-15, -5
Let u(i) be the third derivative of 259*i**2 + 0 + 0*i + 25/9*i**3 - 1/72*i**5 + 5/144*i**4. Factor u(b).
-5*(b - 5)*(b + 4)/6
Determine m so that -18*m + 1/4*m**2 - 225/4 = 0.
-3, 75
Let x be 98/4 + 3 - (-500)/200. Let z(a) be the third derivative of 0 + 0*a + 0*a**3 - x*a**2 + 0*a**4 - 4/15*a**5 - 2/15*a**6 - 2/105*a**7. Factor z(i).
-4*i**2*(i + 2)**2
Let i(l) = -75*l - 225. Let c be i(-3). Let m(j) be the second derivative of -1/14*j**4 - 2*j + 1/70*j**5 - 1/7*j**2 + 1/7*j**3 + c. Factor m(v).
2*(v - 1)**3/7
Determine u, given that -2*u**2 + 8*u - 458 + 240 + 228 = 0.
-1, 5
Let i(o) = -10*o - 2. Let d(q) = q**4 - 5*q**3 - 57*q**2 - 185*q - 62. Let s(t) = -d(t) + 9*i(t). Suppose s(y) = 0. Calculate y.
-4, -1, 11
Let r be (-5*4/40)/((63/(-24))/21). Solve -2/5*z**r - 108/5*z - 72/5*z**2 - 54/5 - 4*z**3 = 0.
-3, -1
Let u = 12380/80301 + -2/6177. Determine d so that u*d**2 + 2/13 - 4/13*d = 0.
1
Suppose -4*n + 145 = 3*f, f + 65 = 2*n + 4*f. Suppose -64*p**3 + 322*p**2 - 52*p + 3*p**4 - 105*p**2 + 4*p**5 - 50*p - n - 18*p**4 = 0. What is p?
-4, -1/4, 1, 2, 5
Suppose 26*l - 172 = -62 - 58. Let -76/3*s + 53/3*s**l + 1/3*s**4 - 14/3*s**3 + 12 = 0. What is s?
1, 2, 9
Solve -20068*d**2 - 3*d**4 + 2766*d**2 - 4886*d**2 - 516*d**3 = 0.
-86, 0
Let t be ((-2)/4)/((-1)/4). Suppose -2 - 18 - 20 + 10*r**t + 5*r**3 - 20*r = 0. What is r?
-2, 2
Suppose -32/17*i**2 + 0 + 2/17*i**3 - 2*i = 0. Calculate i.
-1, 0, 17
Let t(j) be the third derivative of 0*j - 7/2880*j**6 + 1/480*j**5 + 0*j**4 + 0 - 7/2*j**3 - 6*j**2. Let n(f) be the first derivative of t(f). Factor n(x).
-x*(7*x - 2)/8
Let f(h) = 2*h**2 - 97*h + 476. Let o be f(43). Suppose -5*t + 12 + 3 = 0. Let -o*g + 10*g**3 - 3*g**4 - 18*g**3 + 13*g**t - g**2 + 2*g = 0. What is g?
-1/3, 0, 1
Let n(b) be the second derivative of b**4/3 - 5788*b**3 + 37688562*b**2 - 4131*b. Solve n(l) = 0 for l.
4341
Let b = 9890 + -49396/5. Let j(k) be the first derivative of k**4 + 7 - 24/5*k**3 - b*k - 2/25*k**5 + 54/5*k**2. Determine x so that j(x) = 0.
1, 3
Let d be (-178)/(-12) - (5/6 + -1). Let d*u**3 - 65*u + 0 + 2 + 3 + 25 + 20*u**2 = 0. What is u?
-3, 2/3, 1
Solve -83185*n - 1250*n**3 + 0*n**4 + 10*n**4 + 79365*n**2 - 18*n**4 - 71815*n + 76880 + 13*n**4 = 0 for n.
1, 124
Let k(r) be the first derivative of -2*r**6/15 - 32*r**5/25 + 31*r**4/5 - 88*r**3/15 - 201. Determine j, given that k(j) =