en that o - 1/3*n**2 - 2*n = 0.
-6, 0
Let k(s) = 3*s**2 + 107*s + 387. Let h(d) be the second derivative of -d**4/3 - 80*d**3/3 - 290*d**2 + 22*d. Let c(x) = -5*h(x) - 8*k(x). Factor c(l).
-4*(l + 7)**2
Suppose -5*c - 2*t + 442 = 0, -5*t + 31 - 231 = -2*c. Solve 80 + 16*k**2 - 4*k**4 - 4*k**3 + 2*k**5 - 166 - 14*k + c = 0 for k.
-2, 1
Let c(u) = 3*u**2 + 23643*u - 228. Let j(g) = g**2 + 9458*g - 95. Let v(z) = -5*c(z) + 12*j(z). Solve v(b) = 0 for b.
-1573, 0
Let c(q) be the first derivative of -5832/7*q - 355/14*q**4 + 155 - 3888/7*q**2 - 1/21*q**6 - 62/35*q**5 - 1206/7*q**3. Solve c(y) = 0 for y.
-9, -2
Let x(f) be the third derivative of -f**8/672 + f**7/70 - f**6/30 - f**5/20 + 3*f**4/16 - 867*f**2. Suppose x(o) = 0. What is o?
-1, 0, 1, 3
Let k(q) = -437*q + 3075. Let u be k(7). Let l(a) be the first derivative of 15*a + 5/3*a**3 - 10*a**2 - u. Let l(c) = 0. What is c?
1, 3
Solve -148 - 137*k + 22*k - 3*k**2 + 31*k + 145 + 498 = 0 for k.
-33, 5
Let t(y) = -6073*y - 54655. Let s be t(-9). Factor 5/4*o**3 + 5/2*o**s + 5/4*o + 0.
5*o*(o + 1)**2/4
Solve -459*r**2 - 159*r**3 - 3*r**4 + 1005 - 2116 + 961 - 453*r = 0.
-50, -1
Let k be 969/1190 + (-3)/(-2) + (-294)/490. Factor 9/7 + 3/7*x**2 + k*x.
3*(x + 1)*(x + 3)/7
Let f be 4 - 20/7 - -5*(-2)/20. Let j(q) be the second derivative of 0 - 4*q - 1/7*q**3 + 1/28*q**4 - f*q**2. Let j(z) = 0. Calculate z.
-1, 3
Let b be -939*(-10)/150 + (21 - 6). Let 48/5 + 160*g**2 + b*g + 64/5*g**3 = 0. Calculate g.
-12, -1/4
Let i = 10916 - 10913. Solve -2/9*c**i + 2/9*c - 2/9*c**2 + 2/9 = 0 for c.
-1, 1
Suppose 338 = d - 3*l, -1002 = -6*d + 3*d + 5*l. Let c = d - 326. Determine q so that -8/7*q**5 - 2*q**4 + 2*q**2 - 4/7*q + 0 + 12/7*q**c = 0.
-2, -1, 0, 1/4, 1
Let y(f) be the second derivative of f**5/20 + 7*f**4/6 - 113*f**3/2 + 162*f**2 - 13*f - 150. Factor y(a).
(a - 12)*(a - 1)*(a + 27)
Suppose 25*z - 5777 = -5727. Let q(x) be the third derivative of 0 - 43*x**z - 1/20*x**5 + 5/2*x**3 + 0*x + 1/2*x**4. Find b, given that q(b) = 0.
-1, 5
Factor -640/7*o + 38/7*o**2 + 600/7 + 2/7*o**3.
2*(o - 10)*(o - 1)*(o + 30)/7
Let s(w) be the first derivative of 0*w + 0*w**3 - 15/2*w**2 - 5/8*w**4 - 12 - 1/20*w**5. Let i(v) be the second derivative of s(v). Factor i(m).
-3*m*(m + 5)
Let u = -7 + 14. Suppose 0 = u*o - o + 6*o. Suppose o*c**3 + 50*c**4 - 4*c**3 - 46*c**4 = 0. What is c?
0, 1
Let l = 12/8987 - -395368/44935. Find v such that 4/5 + 118/15*v**3 - 8/5*v**4 - 22/15*v - l*v**2 = 0.
-1/3, 1/4, 2, 3
Let -259 + 1070*q + 2*q**3 - 2500*q - 125 + 1054*q + 10*q**2 = 0. Calculate q.
-16, -1, 12
Let r(b) = 7*b**2 + 364*b + 272. Let m(x) = -4*x**2 - 182*x - 127. Let i(k) = -5*m(k) - 3*r(k). Determine a, given that i(a) = 0.
-181, -1
Let q be ((-72250)/(-431052) - (-1)/(-6))*-1. Let g = q + 8462/10565. Factor -2*j**3 + 2/5*j**4 + g - 14/5*j + 18/5*j**2.
2*(j - 2)*(j - 1)**3/5
Let s(t) = 14*t**2 - 15*t + 69. Let h be s(8). Let y = h + -4221/5. What is u in -y + 2/5*u + 6*u**2 + 14/5*u**4 + 38/5*u**3 = 0?
-1, 2/7
Let z = 44633 - 44631. Find a such that 4/3*a + 1/3*a**z + 4/3 = 0.
-2
Let w = -8985 + 8988. Let a(n) be the second derivative of -16*n + 0*n**2 - 1/48*n**4 + 1/8*n**w + 0. Factor a(x).
-x*(x - 3)/4
Let l = 239 + -240. Let h be l*(-4)/16*8 + -2. Factor 0 - 1/2*y**3 + h*y - 3/2*y**2.
-y**2*(y + 3)/2
Let d(h) be the first derivative of -h**6/120 - 11*h**5/30 - 19*h**4/6 - 12*h**3 - 92*h**2 - 276. Let p(o) be the second derivative of d(o). Factor p(q).
-(q + 2)**2*(q + 18)
Let j(l) be the second derivative of l**7/8820 + l**6/2520 - l**5/210 + l**4/4 + 19*l. Let u(q) be the third derivative of j(q). Factor u(s).
2*(s - 1)*(s + 2)/7
Let l(c) = -7*c**2 + 9*c - 8. Let d be l(-12). Let i = d - -1128. Factor 3*w**2 + 0*w**3 + 3/2 - 1/2*w**4 - i*w.
-(w - 1)**3*(w + 3)/2
Let n = 44601 - 44601. Factor 2/11*d**4 + n + 16/11*d**3 - 40/11*d**2 + 0*d.
2*d**2*(d - 2)*(d + 10)/11
Let f = -2/2417 - -14552/60425. Factor 46/25*u - f*u**2 - 28/25.
-2*(u - 7)*(3*u - 2)/25
Let c = 19901/12435 - 1/2487. Factor 2/5*o**3 + c*o - 24/5 + 14/5*o**2.
2*(o - 1)*(o + 2)*(o + 6)/5
Let f(u) = -273*u**3 - 13100*u**2 - 20231*u - 4174. Let o(g) = 54*g**3 + 2620*g**2 + 4046*g + 836. Let i(a) = -2*f(a) - 11*o(a). Let i(k) = 0. What is k?
-53, -4/3, -1/4
Suppose -26280 + 26451 = 57*i. Let w be 2 + 2 + (-19)/5. Determine v so that 2*v + 8/5 + w*v**2 - 1/5*v**i = 0.
-2, -1, 4
Suppose 21*x + 1134 = 39*x. Let j = -58 + 106. What is w in 79*w + 4*w**5 + 9*w**3 + 24*w**4 + 43*w**3 - x*w + j*w**2 = 0?
-2, -1, 0
Let k(m) be the first derivative of -5*m**4/16 + 655*m**3/12 - 320*m**2 + 635*m + 1057. Suppose k(n) = 0. Calculate n.
2, 127
Let q(n) be the third derivative of -n**6/30 - 92*n**5/5 + 277*n**4/6 + 2*n**2 + 537*n. Find z such that q(z) = 0.
-277, 0, 1
Let y(o) be the second derivative of 3*o**5/80 - o**4 + 71*o**3/8 - 21*o**2 + 2096*o - 2. Factor y(w).
3*(w - 8)*(w - 7)*(w - 1)/4
Let y(k) be the second derivative of 891*k**5/40 + 1677*k**4/8 - 17*k**3/2 + 3230*k. Suppose y(o) = 0. What is o?
-17/3, 0, 2/99
Suppose 2*f = 1 + 31. Factor -20*x**2 - 16*x + 9 - f*x**2 + 4*x**4 + 1 + 38.
4*(x - 3)*(x - 1)*(x + 2)**2
Let i(l) = 19*l**2 - 169*l - 38. Let p(k) = -4*k**2 - k + 3. Let c(w) = i(w) - 4*p(w). Suppose c(a) = 0. What is a?
-2/7, 5
Suppose 186*t + 3 = 2 + 1. Let p(i) be the third derivative of 0*i**4 + t*i**3 + 0*i + 1/180*i**5 + 19*i**2 + 2. Let p(n) = 0. Calculate n.
0
Let m(c) be the second derivative of -25/6*c**3 - 1 + 20*c + 5/12*c**4 + 15*c**2. Factor m(q).
5*(q - 3)*(q - 2)
Let y(g) = -150*g**2 + 1608*g - 1569. Let t(r) = -73*r**2 + 803*r - 784. Let k(c) = -37*t(c) + 18*y(c). Let k(w) = 0. What is w?
1, 766
Suppose 4*n - 8 = 5*a, -2 = -n - 6*a + 3*a. Let m(c) be the third derivative of -c**n - 1/4*c**5 - 1/2*c**3 + 1/2*c**4 + 0*c + 0 + 1/20*c**6. Factor m(y).
3*(y - 1)**2*(2*y - 1)
Factor 276*r**2 - 278*r**2 + 3*r + 74*r + 742 - 169*r.
-2*(r - 7)*(r + 53)
Let a(z) be the second derivative of 2*z - 2/5*z**6 + 1/14*z**7 + 77 + 3/4*z**5 + 0*z**3 + 0*z**2 - 1/2*z**4. Factor a(g).
3*g**2*(g - 2)*(g - 1)**2
Let m(w) be the first derivative of w**3 - 13*w**2/2 - w + 13. Let v be m(7). Solve -10*p + 85*p**2 + 55 - 180*p**3 - v = 0.
0, 2/9, 1/4
Let j(d) be the first derivative of -d**4/18 - 2*d**3/3 - 5*d**2/3 - 14*d/9 + 389. Factor j(c).
-2*(c + 1)**2*(c + 7)/9
Let -2/9*f**4 - 16/9*f**3 - 20/9*f + 0 - 34/9*f**2 = 0. What is f?
-5, -2, -1, 0
Let c = 516 - 527. Let p(y) = 2*y**2 + 19*y - 31. Let r be p(c). Suppose 9/2*h**r + 0 + 3/2*h = 0. Calculate h.
-1/3, 0
Suppose -348 = 18*b + 12. Let o be 1*84/b - -5. Suppose -8/5*u**2 - 4/5*u - o*u**3 + 0 = 0. What is u?
-1, 0
Suppose 125*b - 127*b + 5*l = -4, -20 = -2*b + l. Let s be -2*7/((-56)/b). What is d in 0*d**2 - 2/5*d**s + 2/5*d + 0 = 0?
-1, 0, 1
Let o(j) be the second derivative of j**6/20 + 9*j**5/4 - 104*j**4 + 2385*j**3/2 - 11907*j**2/4 - 6052*j. What is s in o(s) = 0?
-49, 1, 9
Let v be 8/18 + 1133/(-99) + 16. Let h(q) be the second derivative of 0 - 1/6*q**4 + 17*q + 2*q**3 - v*q**2. Let h(p) = 0. Calculate p.
1, 5
Suppose -630 = -28*y - 62*y. Let f(a) be the third derivative of -1/60*a**6 + 1/4*a**4 + 1/420*a**y - 1/60*a**5 + 33*a**2 + 0*a + 3/4*a**3 + 0. Factor f(o).
(o - 3)**2*(o + 1)**2/2
Let x(w) be the third derivative of -w**7/840 + w**5/10 - 11*w**4/4 - w**2 - 132. Let n(q) be the second derivative of x(q). Factor n(d).
-3*(d - 2)*(d + 2)
Let a(p) be the second derivative of -p**9/7056 + p**8/1960 + 3*p**3 - 2*p**2 + 5*p + 21. Let s(t) be the second derivative of a(t). Factor s(f).
-3*f**4*(f - 2)/7
Let s be 8/(-56)*0*(-3)/(-9). Let h be s/(3/(-1) - -4). Solve 0 + h*t - 2/3*t**4 - 1/3*t**2 + t**3 = 0.
0, 1/2, 1
Let i(j) = -7*j**3 - 2709*j**2 + 108018*j - 1079982. Let b(n) = -15*n**3 - 6095*n**2 + 243040*n - 2429960. Let q(u) = 9*b(u) - 20*i(u). Factor q(m).
5*(m - 60)**2*(m - 15)
Let p(z) = -6*z**4 - 6*z**3 - 5*z + 5. Let q(k) = -7*k**4 - 5*k**3 + 2*k**2 - 6*k + 6. Let s(i) = 6*p(i) - 5*q(i). What is c in s(c) = 0?
-10, -1, 0
Factor 261/4 - 105/8*d + 3/8*d**2.
3*(d - 29)*(d - 6)/8
Let n be -4*1235/(-228)*32/208. Let -7*j + n + 4*j**2 - 1/3*j**3 = 0. What is j?
1, 10
Let q be (6/(-2))/(1202 - 1214). Let -15/2 + q*a**2 - 13/4*a = 0. What is a?
-2, 15
Let c(r) = 1584*r**2 + 6372*r + 6400. Le