- 6325*k**2 = 0.
-2006, 0
Let t(y) = 120*y - 1560. Let s be t(13). Let q(d) be the second derivative of -1/48*d**4 + 0 - 1/24*d**3 + 21*d + s*d**2. Find j, given that q(j) = 0.
-1, 0
Let v(h) be the third derivative of h**6/180 + 97*h**5/180 + 50*h**4/3 + 32*h**3 + 38*h**2 + 2. Determine o, given that v(o) = 0.
-24, -1/2
Let -154*b**2 - 26450/3 - 2/3*b**3 - 8970*b = 0. Calculate b.
-115, -1
Suppose 7*w - 545 = -447. Let d be w/(-5) + 15/((-150)/(-40)). Factor -3/5*c - d*c**2 + 0.
-3*c*(2*c + 1)/5
Suppose 14*r - 392 + 1176 = 0. Let t = r - -59. Solve -3/8*d**2 + 0 + 3/8*d + 3/8*d**4 - 3/8*d**t = 0.
-1, 0, 1
Let s = -85 - -103. What is r in -5 + 4*r + 26*r**2 - 4*r**3 - s*r**2 - 11 + 8*r**2 = 0?
-1, 1, 4
Let h(b) be the first derivative of 0*b - 5*b**4 + 140/3*b**3 - 3*b**5 - 24 - 40*b**2. Suppose h(q) = 0. What is q?
-4, 0, 2/3, 2
Factor 76*q**2 - 37*q + 138*q**2 + 1151*q - 440 + 10*q**3 - 29*q**2 - 329*q.
5*(q + 8)*(q + 11)*(2*q - 1)
Suppose 4*h + h - 135 = 0. Factor 4*s - 5 + 7*s**4 + h*s**2 + 88*s**3 - 62*s**3 + 1.
(s + 1)**2*(s + 2)*(7*s - 2)
Let q(u) be the first derivative of -3*u**5/5 - 33*u**4/4 - 33*u**3 - 15*u**2/2 + 150*u + 3138. Factor q(w).
-3*(w - 1)*(w + 2)*(w + 5)**2
Let f(d) be the third derivative of d**5/24 - 95*d**4/24 - 65*d**3/4 + 2342*d**2. Factor f(v).
5*(v - 39)*(v + 1)/2
Let q(h) be the first derivative of -1/4*h**4 - 200 - 19/3*h**3 - 192*h - 56*h**2. Factor q(m).
-(m + 3)*(m + 8)**2
Let b(y) be the third derivative of y**8/84 - 4*y**7/15 + 4210*y**2. Factor b(v).
4*v**4*(v - 14)
Suppose -3*r = 4*m - 306, 0 = -2*m - 0*m. Suppose 120 = 6*t + r. Suppose 3*v**3 - 6/5 - t*v + 6/5*v**2 = 0. What is v?
-1, -2/5, 1
Let k(o) be the first derivative of o**3 - 117*o**2/2 + 594*o + 1307. Find x such that k(x) = 0.
6, 33
Let j(g) be the second derivative of 38*g + 0*g**2 + 1/80*g**5 + 49/48*g**4 + 0 + 2*g**3. Find t such that j(t) = 0.
-48, -1, 0
Let d = 520 + 83. Let l be 67/d*(-9)/(-2). Suppose 0*q + 2/3*q**3 + 0 + l*q**4 + 1/6*q**2 = 0. What is q?
-1, -1/3, 0
Let j be (16/72)/(6/(7 - 1)). Factor -20/9*t**2 - 16/9 - j*t**3 - 34/9*t.
-2*(t + 1)**2*(t + 8)/9
Factor 344/7 + 2/7*n**2 + 94/7*n.
2*(n + 4)*(n + 43)/7
Solve -38*b + 420044*b**3 + 11 + 13*b**2 - 420045*b**3 + 2*b**2 + 13 = 0.
1, 2, 12
Let v(y) be the second derivative of -y**6/45 + 31*y**5/30 - 7*y**4/6 - 31*y**3 + 90*y**2 - y - 641. Find x such that v(x) = 0.
-3, 1, 3, 30
Let l(z) be the second derivative of 0*z**2 + 7/8*z**5 - 21*z - 5/24*z**6 + 0 - 11/12*z**4 + 1/3*z**3. Factor l(i).
-i*(i - 2)*(5*i - 2)**2/4
Let u(g) be the first derivative of -324*g**3 - 702*g**2 - 507*g - 1430. Let u(h) = 0. What is h?
-13/18
Let m(l) = -16*l**2 - 595*l - 2121. Let n be m(-4). Let h(f) = -f + 7. Let t be h(5). What is i in 3/2*i**t + 2 + 1/4*i**n - 15/4*i = 0?
-8, 1
Let g be 19/(1140/1572) - (-286)/(-11). Factor 0 - 7/5*q**4 - 3/5*q**3 - 14/5*q + g*q**5 + 23/5*q**2.
q*(q - 7)*(q - 1)**2*(q + 2)/5
Let b(r) be the third derivative of 13/30*r**6 - 5*r**2 + 1/3*r**4 + 9/10*r**5 + 1/15*r**7 - 4/3*r**3 + 0 + 8*r. Factor b(x).
2*(x + 1)**2*(x + 2)*(7*x - 2)
Let z = 36 - 29. Let l be z/(35/(-15))*-1. Solve 3*s**3 - s + s + s**5 + 44*s**2 + l*s**4 - 43*s**2 = 0.
-1, 0
Let i(d) = d**3 + d**2 - 8*d - 8. Let w be i(-1). Let f(x) be the second derivative of 40*x + 0 + w*x**2 + 1/40*x**5 + 4/3*x**3 + 1/3*x**4. Solve f(g) = 0.
-4, 0
Let t be 8/(-9)*(2808/(-45))/8. Let q = t + -193/30. Factor 0 + q*y**3 + 0*y + 1/2*y**2.
y**2*(y + 1)/2
Let k(o) be the first derivative of o**5/90 - o**4/27 + o**3/27 - 15*o - 283. Let g(l) be the first derivative of k(l). Factor g(x).
2*x*(x - 1)**2/9
Let b(v) be the first derivative of -v**4/28 + 55*v**3/3 - 18624*v**2/7 + 36864*v/7 + 3206. Factor b(j).
-(j - 192)**2*(j - 1)/7
Let a(x) be the first derivative of x**6 - 33*x**5/5 - 33*x**4/4 + 32*x**3 - 18*x**2 - 849. Solve a(w) = 0.
-2, 0, 1/2, 1, 6
Let h(s) be the first derivative of s**6/240 - 3*s**5/80 + s**4/8 + 130*s**3/3 - 163. Let i(q) be the third derivative of h(q). Factor i(a).
3*(a - 2)*(a - 1)/2
Suppose 2*w + 50 = 44, -6 = -4*g - 2*w. Let q be g + (-110)/38 + 6/(-57). Let 0*f + 0*f**2 - 2/7*f**3 + 10/7*f**4 + q - 8/7*f**5 = 0. Calculate f.
0, 1/4, 1
Let y be 356*2*(15/12 + -2). Let r = y - -534. Factor 1/7*h**3 + 1/7*h**2 + r - 2/7*h.
h*(h - 1)*(h + 2)/7
Let t be (-246)/(-35055)*(1 + 26). Let r = t + 346/2185. Factor r*o**4 + 26/23*o**3 + 2/23 + 30/23*o**2 + 14/23*o.
2*(o + 1)**3*(4*o + 1)/23
Let r be (-4)/6 + (-8)/((-72)/465). Suppose -r = 9*i - 429. Factor -8*w**3 - w**3 + 12*w + i*w**4 - 45*w**4.
-3*w*(w - 1)*(w + 2)**2
Let n = -146 - -188. Determine j, given that -5 - 8*j**2 + n*j - 16*j + 4 - 5 = 0.
1/4, 3
Let s be (-64896)/49686*14/(-8). Factor -s*p + 0 + 1/7*p**2.
p*(p - 16)/7
Suppose 2*r = 3*x - 9, -4636 + 4653 = -r + 4*x. Suppose 0 - 3/2*a**r + 3/2*a + 0*a**2 = 0. Calculate a.
-1, 0, 1
Let z(g) = 48*g**2 + 393*g + 737. Let i(j) = 22*j**2 + 196*j + 370. Let o(x) = 13*i(x) - 6*z(x). Let o(t) = 0. Calculate t.
-2, 97
Suppose -461*o + 1389 = -464*o. Let a = o + 467. Determine b so that -6*b - 3/2 + 33/8*b**3 - 39/8*b**2 + 51/8*b**a + 15/8*b**5 = 0.
-2, -1, -2/5, 1
Let r be ((-39255)/(-1980) - 12) + (-2)/(-6). Let o = r - 31/22. Factor -o*u + 9/2*u**2 + 0 - 3/4*u**3.
-3*u*(u - 3)**2/4
Let z(x) = x**3 - 261*x**2 + 1283*x - 764. Let o be z(256). Suppose 7/2*h**2 - 6 + 4*h - 1/2*h**o - h**3 = 0. What is h?
-3, -2, 1, 2
Let r(k) = 6*k**3 + 79*k**2 - 360*k - 13. Let y(j) = 2*j**3 + 26*j**2 - 120*j - 4. Let s(p) = -4*r(p) + 13*y(p). Factor s(n).
2*n*(n - 4)*(n + 15)
Suppose 3*p + 5 = -5*m, 3*m + 4 = 2*p - 4*p. Find i such that -45*i**3 + 222*i**m - 12 - 385*i**2 - 61*i - 27*i = 0.
-3, -2/5, -2/9
Suppose -3969*y + 15875/4*y**3 + 63*y**2 + 1/4*y**5 - 63*y**4 + 0 = 0. Calculate y.
-1, 0, 1, 126
Let c = 264 - 246. Factor -12*h**2 - c*h**3 + 320*h + 784 - 22*h**3 + 240*h + 4*h**4.
4*(h - 7)**2*(h + 2)**2
Let w(c) be the first derivative of -5*c**4/4 - 155*c**3/3 + 2905*c**2/2 - 11025*c - 7500. Factor w(r).
-5*(r - 7)**2*(r + 45)
Let f(x) be the third derivative of -x**2 + 1/105*x**5 + 4/7*x**3 - 7 + 0*x + 1/6*x**4. Factor f(c).
4*(c + 1)*(c + 6)/7
Suppose 583*l - 56 = 1136 - 26. Factor 1149*x**3 + 22275/2*x - 141/2*x**4 - 7155*x**l + 3/2*x**5 - 10125/2.
3*(x - 15)**3*(x - 1)**2/2
Let g(j) be the third derivative of -j**8/210 - j**7/25 - j**6/10 + 2*j**5/75 + 2*j**4/5 - 4925*j**2. Factor g(q).
-2*q*(q + 2)**3*(4*q - 3)/5
Let j(i) be the first derivative of 5*i**6/6 - 19*i**5 + 495*i**4/4 - 965*i**3/3 + 400*i**2 - 240*i - 612. What is l in j(l) = 0?
1, 4, 12
Let y(b) be the third derivative of 0 - 3025/3*b**3 + 55/2*b**4 - 3/10*b**5 + 0*b + 2*b**2. Factor y(o).
-2*(3*o - 55)**2
Let d(c) be the third derivative of c**6/24 + 13*c**5/12 + 235*c**4/24 + 175*c**3/6 - 188*c**2 + 2. Factor d(x).
5*(x + 1)*(x + 5)*(x + 7)
Let b(y) be the third derivative of -y**8/1176 + 2*y**7/147 - y**6/60 - 3*y**5/35 - 926*y**2. Suppose b(u) = 0. What is u?
-1, 0, 2, 9
Let h = -156 - -170. Factor h*m**3 + 6*m**3 - 20*m - 19 - 7*m**2 + 22*m**2 - 1 + 5*m**4.
5*(m - 1)*(m + 1)*(m + 2)**2
Let o = 79009 - 869098/11. Suppose o*p**2 + 1/11*p - 2/11 = 0. Calculate p.
-2, 1
Let r(o) be the third derivative of -o**6/160 + 139*o**5/80 - 137*o**4/16 - 2*o**2 + 65. Determine z, given that r(z) = 0.
0, 2, 137
Let -3 - 298*r - 44 - 20*r**3 + 14*r**3 - 37 - 140*r**2 = 0. Calculate r.
-21, -2, -1/3
Suppose -620*q = -379 - 2101. Factor -2/23*r**5 + 4/23*r - 2/23*r**q + 10/23*r**2 + 0 + 6/23*r**3.
-2*r*(r - 2)*(r + 1)**3/23
Let r(j) be the second derivative of -j**4/66 - 3*j**3/11 + 90*j**2/11 - 4*j + 35. Determine q, given that r(q) = 0.
-15, 6
Let k(a) = a**2 + 25*a - 260. Let d be k(-33). Factor 179*q**2 + 42*q**3 - 229 + 115*q**2 + 2*q**d + 686*q + 229.
2*q*(q + 7)**3
Let x = -2/5265 + 142159/10530. Let -7/2*a**3 + x*a**2 - 16*a + 6 = 0. What is a?
6/7, 1, 2
Let q(g) be the third derivative of 2*g**7/35 - 568*g**6/15 - 7282*g**5/15 - 2116*g**4 - 2310*g**3 - 2*g**2 - 2384*g. Solve q(d) = 0.
-3, -1/3, 385
Suppose 6*n = n, 0 = 4*m + 2*n - 8. Let l(k) = k**3 + k**2 + k + 1. Let f(z) = 2*z**3 + 2*z**2 - 10*z - 2. Let p(w) = m*l(w) + f(w). Factor p(a).
4*a*(a - 1)*(a + 2)
Let t(n) be the first derivative of 19/4*n**3 + 99 + 3/4*n**2 + 0*n - 15/4*n**5