e third derivative of -j**7/350 + 7*j**6/50 - 131*j**5/100 - 116*j**4/5 - 384*j**3/5 - 128*j**2 + 1. Determine x, given that l(x) = 0.
-3, -1, 16
Factor 2/3*a**2 + 2/3*a - 8.
2*(a - 3)*(a + 4)/3
Suppose -5*x + 2*d = -18, 2*x - x - 3*d = 14. Suppose 2*h = -x + 6. Find l such that 5 - 23*l**2 + 15*l**2 + 10*l + 13*l**h = 0.
-1
Let j = 2541 - 1265. Let b = 6382/5 - j. Factor -1/5*p**2 + b*p + 0.
-p*(p - 2)/5
Let t(i) = -67*i**2 + 2976*i + 869. Let y(c) = 50*c**2 - 2234*c - 652. Let z(w) = 8*t(w) + 11*y(w). Factor z(r).
2*(r - 55)*(7*r + 2)
What is l in 1476/5*l - 296*l**4 - 1472/5*l**3 + 296*l**2 - 4/5*l**5 + 0 = 0?
-369, -1, 0, 1
Let u(m) be the second derivative of 6*m**3 - 127*m - 10*m**2 - m**4 - 1/5*m**5 + 0. Factor u(w).
-4*(w - 1)**2*(w + 5)
Factor -25 + 76*y - 29 - 24*y - 10*y**2 + 21*y**2 - 9*y**2.
2*(y - 1)*(y + 27)
Find l, given that 1/5*l**4 + 0 + 14/5*l**3 + 13/5*l**2 + 0*l = 0.
-13, -1, 0
Suppose 0 = 433*g - 1566*g. Factor g - 27/10*x**2 - 1/2*x**3 - x.
-x*(x + 5)*(5*x + 2)/10
Let m(d) be the first derivative of -1/5*d**3 - 84/5*d**2 - 2352/5*d + 157. Determine s so that m(s) = 0.
-28
Let 0 + 9/7*s**5 + 78/7*s**4 - 48/7*s + 27*s**3 + 72/7*s**2 = 0. What is s?
-4, -1, 0, 1/3
Let x(k) = 0 + 2 + 5 + 9*k - 5. Let m be x(1). Factor 4*p**5 + p**5 - 20*p**4 + m*p**3 - 11*p**3.
5*p**4*(p - 4)
Let q(f) be the first derivative of -f**4/2 - 36*f**3/5 - 79*f**2/5 + 36*f/5 + 883. Factor q(g).
-2*(g + 2)*(g + 9)*(5*g - 1)/5
Suppose -24*d + 19*d - 5 = 0, -2*y = -d - 9. Determine t so that -197*t**4 + 15*t**3 + 9*t - 189*t**4 - 5*t**2 + 383*t**y - 16*t**2 = 0.
0, 1, 3
Let g(q) = 13*q - 75. Let x be g(6). Suppose 12 = 5*f - x*i, -4*f = f + 2*i + 8. Solve 4/5*v + 6/5*v**2 - 4/5*v**3 + f = 0.
-1/2, 0, 2
Solve 147*x**4 - 534520*x - 95*x**4 + 5*x**5 - 887*x**4 - 21265*x**2 + 35195*x**3 - 688900 = 0 for x.
-2, 5, 83
Let w(i) = -18*i + 155. Let n be w(8). Solve -n + 27 + 28*z**2 + 32*z**2 + 128*z = 0.
-2, -2/15
Suppose -4*g = 18 - 50. Suppose -9*m = -g*m - 5. Find v such that 3*v + 12*v**5 - 7*v**m - 10*v**3 + 2*v = 0.
-1, 0, 1
Let j(m) = 81*m**3 + 3*m**2 - 13*m + 10. Let k be j(5). Find z, given that k*z - 3*z**4 - 10205*z + 72 - 6*z**2 + 0*z**2 + 0*z**2 + 15*z**3 = 0.
-2, 2, 3
Find g such that 19063*g + 19539*g - 48 - 92*g**2 - 39210*g + 100*g**3 = 0.
-2, -2/25, 3
Let t(l) be the third derivative of l**9/10080 + l**8/1260 + l**7/630 - 2*l**5/15 + l**4/12 - 5*l**2 + 2. Let f(v) be the third derivative of t(v). Factor f(j).
2*j*(j + 2)*(3*j + 2)
Let l(o) be the first derivative of -65*o**4/4 + 170*o**3 - 895*o**2/2 - 150*o + 350. Factor l(h).
-5*(h - 5)*(h - 3)*(13*h + 2)
Let d(b) be the second derivative of -9*b**5/20 - 49*b**4/4 + 35*b**3/2 + 51*b**2/2 - 4*b - 178. Solve d(c) = 0 for c.
-17, -1/3, 1
Let l(u) be the second derivative of -u**5/20 + 319*u**4/3 - 203522*u**3/3 + 9*u + 104. Factor l(d).
-d*(d - 638)**2
Let h(n) be the first derivative of n**6/8 - 3*n**4/8 + 3*n**2/8 + 1044. Determine s so that h(s) = 0.
-1, 0, 1
Suppose -136*s + 16 = 192*s + 16. Let z(k) be the third derivative of -5*k**2 + 0*k**4 + 0 + s*k - 1/90*k**5 + 4/9*k**3. Find c, given that z(c) = 0.
-2, 2
Suppose -5*w - 309 = 5*x - 3*x, 5*x - 4*w = -756. Let d be x/(-10) + 5/(-25) + 0. Factor -d*t - 10*t**2 - 21*t + 7*t**2.
-3*t*(t + 12)
Find q, given that 30/11*q**2 + 332/11 - 2494/11*q = 0.
2/15, 83
Suppose 9*q - 524 = -461. Let t(k) be the third derivative of 0*k**5 + 0*k**6 + 0 + 1/210*k**q + 1/336*k**8 + 0*k**3 + 7*k**2 + 0*k**4 + 0*k. Factor t(w).
w**4*(w + 1)
Let f(m) = m**3 - 18*m**2 + 17*m - 36. Let o be f(18). Let g be 15/25 + 78/o. What is t in -8/9*t + 2/3*t**2 - g = 0?
-2/3, 2
Let b(g) be the third derivative of -g**5/15 - 109*g**4/6 + 220*g**3/3 + 106*g**2 - 13*g. Factor b(o).
-4*(o - 1)*(o + 110)
Factor 116*x - 177*x + 5*x**2 - 460 + 116*x - 170.
5*(x - 7)*(x + 18)
Let v be (261/(-36) - -5)/((-2)/4). Factor -v - 5*q - 1/2*q**2.
-(q + 1)*(q + 9)/2
Let 1/3*t**4 + 0*t + 189*t**2 + 0 - 24*t**3 = 0. What is t?
0, 9, 63
Let b(o) be the second derivative of -5/28*o**5 + 128/21*o**3 - 26/7*o**2 - 68*o - 305/84*o**4 + 0. Solve b(x) = 0 for x.
-13, 2/5
Factor 1/5*y**4 + 96/5 + 62/5*y**2 - 128/5*y - 13/5*y**3.
(y - 4)**2*(y - 3)*(y - 2)/5
Suppose -3*z = -v + 50, -4*z - 170 + 40 = -3*v. Suppose -3*d - 5*a + 6 = 0, 3 = d + 2*a + 1. Factor 3*p + 46 - 9*p - v + p**d.
(p - 4)*(p - 2)
Let t be 7*6/(-42) + (-9)/(45/(-25)). Factor 0*u**2 - 3/5*u**t + 0 + 0*u**3 + 1/5*u**5 + 0*u.
u**4*(u - 3)/5
Let w(q) be the first derivative of -2/33*q**3 + 19/11*q**2 - 19/22*q**4 + 2/55*q**5 + 0*q + 122. Let w(a) = 0. Calculate a.
-1, 0, 1, 19
Let b(w) = 9475*w - 56848. Let j be b(6). Factor -10*v - 1/2*v**3 - 4*v**j - 8.
-(v + 2)**2*(v + 4)/2
Let s be ((-1786)/76 - -24)/(0 + 6/56). Find h such that 17/3*h - s*h**4 - h**5 - 14/3*h**3 + 2 + 8/3*h**2 = 0.
-3, -1, -2/3, 1
Let o = -304718 - -2744863/9. Factor 3920/3*b**2 - o - 12320/9*b**3 + 5120/9*b**4 - 1715/9*b - 256/3*b**5.
-(3*b + 1)*(4*b - 7)**4/9
Let m(n) be the third derivative of -n**7/14 + 25*n**6/12 - 287*n**5/12 + 775*n**4/6 - 250*n**3 + 51*n**2 + 8. Determine l so that m(l) = 0.
2/3, 5, 6
Let i(r) be the second derivative of -r**5/60 + 19*r**4/36 - 119*r**3/18 + 245*r**2/6 + 2*r + 113. What is j in i(j) = 0?
5, 7
Let k = -249/76 - -1283/380. Let h(x) be the first derivative of 14/15*x**3 + 1 + 0*x - 1/5*x**6 + k*x**4 - 14/25*x**5 + 2/5*x**2. Let h(d) = 0. Calculate d.
-2, -1, -1/3, 0, 1
Let s(b) be the second derivative of b**7/84 - 17*b**5/5 - 395*b**4/12 - 275*b**3/4 + 875*b**2/2 - 3166*b. Let s(d) = 0. What is d?
-5, 1, 14
Factor -119859*r**2 + 135*r + 119719*r**2 - 3*r**3 + 8*r**3.
5*r*(r - 27)*(r - 1)
Let i(r) = r**2 - r. Let v(q) = 4*q**2 + 198*q - 202. Let n(c) = 4*i(c) - 2*v(c). Factor n(g).
-4*(g - 1)*(g + 101)
Let r(p) be the first derivative of -p**7/105 - 7*p**6/60 - p**5/5 + 40*p**2 - 148. Let s(a) be the second derivative of r(a). Suppose s(v) = 0. Calculate v.
-6, -1, 0
Let i = 2/21669 + 281587/1191795. Let t = i + 4/11. Factor 3*q**3 - 24/5*q + 12/5 + 3/5*q**2 - t*q**4 - 3/5*q**5.
-3*(q - 1)**3*(q + 2)**2/5
Let k(o) be the second derivative of 2/9*o**4 - 16/3*o**2 + 8/3*o**3 - 58*o + 2/63*o**7 + 0*o**6 + 0 - 7/15*o**5. Determine r, given that k(r) = 0.
-2, 1, 2
Suppose -2 = 4*o + 5*c, 108*c - 107*c + 8 = 3*o. Find h such that 12/17 + 14/17*h**3 + 2*h + o*h**2 + 2/17*h**4 = 0.
-3, -2, -1
Suppose 95*y + 368*y - 1040 = 182*y - 239*y. Find h such that -2/5*h - 3/5 + 1/5*h**y = 0.
-1, 3
Let t(b) be the third derivative of -7*b**6/80 - 2133*b**5/40 + 172*b**4 - 153*b**3 + 2*b**2 - 12*b - 9. Let t(q) = 0. What is q?
-306, 2/7, 1
Let s(j) be the second derivative of -4/15*j**6 - 1/7*j**7 - 64*j**2 + 4*j**5 + 16/3*j**3 + 16*j**4 + 0 - 131*j. Suppose s(o) = 0. Calculate o.
-2, 2/3, 4
Suppose 2*p - 4*j - 4 = 0, 4*p - 6*j + j - 5 = 0. Let h(q) be the third derivative of 0*q**3 + 3/40*q**6 + 13*q**2 + 1/3*q**5 + p*q + 1/6*q**4 + 0. Factor h(t).
t*(t + 2)*(9*t + 2)
Determine f, given that -2101 - 1485*f**2 - 713*f - 40*f**5 - 380*f**4 - 1170*f**3 + 2101 + 38*f = 0.
-5, -3/2, 0
Let j be 4/11 - 17640/(-10780). Let -72/5*m - 42/5*m**j - 24/5 + 18/5*m**5 + 66/5*m**4 + 54/5*m**3 = 0. Calculate m.
-2, -1, -2/3, 1
Let z = 4406 + -1480415/336. Let l(q) be the third derivative of z*q**8 + 0*q + 0 + 0*q**5 - 1/40*q**6 + 1/105*q**7 - 7*q**2 + 0*q**4 + 0*q**3. Factor l(p).
p**3*(p - 1)*(p + 3)
Let w(o) be the second derivative of 5*o**6 + 98*o - 1/4*o**5 + 0 - 25/2*o**4 + 20/3*o**3 - 5/6*o**7 + 0*o**2. Solve w(h) = 0.
-1, 0, 2/7, 1, 4
Let j(m) be the second derivative of m**7/294 + 13*m**6/210 - 3*m**5/14 + 28*m. Suppose j(v) = 0. What is v?
-15, 0, 2
Let h(t) be the first derivative of -4*t**5/45 + 43*t**4/18 - 428*t**3/27 - 253*t**2/9 + 484*t/3 + 5085. Find c such that h(c) = 0.
-2, 3/2, 11
Let d(m) be the second derivative of 164*m**3 - 2*m**2 + 25*m**5 + 25*m**4 - 92*m - 154*m**3 + 4*m**2. Factor d(v).
4*(5*v + 1)**3
Let v(i) = -2*i**2 + 8*i + 5. Let u(s) = -6*s**2 + 22*s + 14. Let c(p) = -p**2 + 4*p + 31. Let t be c(9). Let o(h) = t*v(h) + 5*u(h). What is m in o(m) = 0?
-1, 0
Let z(s) be the third derivative of -s**6/80 + 21*s**5/4 + 211*s**4/16 + 166*s**2 + 15. Factor z(q).
-3*q*(q - 211)*(q + 1)/2
Suppose 0 = 21*q - 57 + 15. Let 14*l**5 + 