7/4*d**5 + 10/3*d**3 + 0 - j*d + 0*d**2 + 1/2*d**6. Find i such that n(i) = 0.
-2/3, 0, 1, 2
Let u(t) = -t**2 + 26*t + 674. Let w be u(42). Let n(k) be the second derivative of 2/9*k**w + 15*k + 0 + 1/54*k**4 + 1/9*k**3. Factor n(q).
2*(q + 1)*(q + 2)/9
Let v(p) be the third derivative of 105*p**2 - 3/100*p**5 + 0 + 1/25*p**6 + 0*p + 0*p**4 + 0*p**3. Factor v(h).
3*h**2*(8*h - 3)/5
Let y = -23648/3 - -118528/15. Let w(n) = n**3 + 3*n**2 - 4*n + 2. Let h be w(-4). Let -26/5*r**3 - 2/5*r**4 - 72/5*r - y*r**h + 0 = 0. Calculate r.
-6, -1, 0
Let r(c) be the second derivative of -65*c**4/6 - 194*c**3/3 + 3*c**2 + c + 1082. Factor r(m).
-2*(m + 3)*(65*m - 1)
Let u(k) be the third derivative of 0*k**4 + 0 - 67*k**2 + 0*k**6 - 2/105*k**7 + 1/15*k**5 + 2*k + 0*k**3. Factor u(l).
-4*l**2*(l - 1)*(l + 1)
Let l = -238 + 305. Determine m, given that 50*m - l*m + 3*m**2 + 38*m - 24 = 0.
-8, 1
Let t(k) = -3*k**2 - 2655*k - 2597. Let s(b) = -b**2 - 663*b - 647. Let a(g) = -22*s(g) + 6*t(g). Factor a(x).
4*(x - 337)*(x + 1)
Let z = -8437/973 - -1245/139. Factor 104/7*n + z*n**2 + 1352/7.
2*(n + 26)**2/7
Factor 0 + 3255/4*o**2 - 5/4*o**3 - 1625/2*o.
-5*o*(o - 650)*(o - 1)/4
Let c = -10/109 + 962/981. Let o = 1002 + -9014/9. What is q in 4/3*q + c + o*q**2 = 0?
-2, -1
Let k be 6/(-63) + (16 - 19/((-1862)/(-1526))). Let -2/3*u - k*u**2 + 1 = 0. Calculate u.
-3, 1
Let t(x) = -15*x**3 + 355*x - 1090. Let i(j) = 8*j**3 + 3*j**2 - 177*j + 546. Let a(h) = 5*i(h) + 3*t(h). What is v in a(v) = 0?
-6, 3, 6
Factor 49298/5*v**2 + 8/5 - 1256/5*v.
2*(157*v - 2)**2/5
Let u be (897/325 + -3)*(-45)/81. Determine r, given that 6/5 + 22/15*r**2 + 38/15*r + u*r**3 = 0.
-9, -1
Let r = 342 + -339. Determine v, given that 69*v**3 - 66*v**4 + 136*v**4 - 38*v**4 + 52*v**3 + 16*v**2 + 11*v**r = 0.
-4, -1/8, 0
Suppose 3*v - 3 = -3*u, 10*u + 4 = 7*u + 4*v. Let i be (-6*(-1 + 2 - u))/(-3). Factor -3/4*d**3 + 21/4*d + 3 + 3/2*d**i.
-3*(d - 4)*(d + 1)**2/4
Let z = -103111 + 103116. Let 17/5*t**2 - 13/5*t**4 + t**z - 1/5*t**3 - 4/5*t - 4/5 = 0. What is t?
-1, -2/5, 1, 2
Let h = -69/1412 - -4164471/9884. Let a = h - 420. Determine m, given that 3/7*m**2 - a*m + 6/7 = 0.
1, 2
Suppose 0 = -45*j - 182 + 497. Let k(p) be the second derivative of 0 + 1/2*p**2 + j*p - 1/4*p**3 + 1/24*p**4. Factor k(f).
(f - 2)*(f - 1)/2
Let h(r) = -r**2 - r - 5. Let f(q) = -2 + 2 + 4 - q - 5. Let x = -13 + 12. Let y(d) = x*h(d) + 5*f(d). Factor y(s).
s*(s - 4)
Factor 1/8*a**2 - 1273/2*a + 1620529/2.
(a - 2546)**2/8
Suppose -v + 4*p + 29 = -2, -p - 2 = 0. Suppose v = 4*t - 2*t + 5*k, 0 = -2*k + 6. Factor -4*c**t - 3*c**2 - 2*c**4 + 9*c**4.
3*c**2*(c - 1)*(c + 1)
Let g(t) = -8*t**3 - 7*t**2 - 8*t + 3. Let z(n) = 13*n**3 + 15*n**2 + 17*n - 5. Let i(j) = -10*g(j) - 6*z(j). Factor i(v).
2*v*(v - 11)*(v + 1)
Determine o, given that -54*o**2 - 144/5*o + 0 + 6*o**4 - 4/5*o**5 + 52/5*o**3 = 0.
-3, -1/2, 0, 3, 8
Let f(o) = 9*o + 2. Let m be f(-2). Let k be (m - -19)*(-2)/(-21). What is w in 0 + 2/7*w**4 - 2/7*w - k*w**2 + 2/7*w**3 = 0?
-1, 0, 1
Determine n, given that -1755*n**2 - 7*n**4 + 6395*n**3 + 6625*n**3 - 5*n**5 - 19182*n**3 - 18*n**4 + 1890*n + 6657*n**3 = 0.
-14, 0, 3
Let v be 504/(-1848) + (-12084)/(-1463)*101/4. Find y such that v + 108/7*y + 2/7*y**2 = 0.
-27
Factor 0*w + 60/7*w**3 + 0 - 4/7*w**4 + 64/7*w**2.
-4*w**2*(w - 16)*(w + 1)/7
Let r(o) = 64*o - 320. Let d be r(5). Let f(l) be the third derivative of 1/100*l**5 + 3/40*l**4 + 1/5*l**3 + 15*l**2 + 0 + d*l. Find i such that f(i) = 0.
-2, -1
Let f(j) = -13*j**2 - 1423*j - 4767. Let c be f(-106). Suppose 25/2*p**c + 14/3 + 76/3*p + 235/6*p**2 = 0. Calculate p.
-7/3, -2/5
Let y(h) be the second derivative of h**6/45 + h**5/15 - 5*h**4/6 - 11*h + 10. Solve y(d) = 0 for d.
-5, 0, 3
Let x(k) be the first derivative of 3*k**2 + 264/7*k - 2/7*k**3 + 176. Factor x(n).
-6*(n - 11)*(n + 4)/7
Let p(w) be the third derivative of -41*w**5/420 - 109*w**4/168 - 34*w**3/21 + 3*w**2 + 12*w + 2. Factor p(j).
-(j + 1)*(41*j + 68)/7
Let v(h) = h**2 + 120*h + 1. Let w(t) = 76*t**2 + 798*t + 28. Let q(b) = v(b) - w(b). Factor q(z).
-3*(z + 9)*(25*z + 1)
Let q(k) be the first derivative of 56/27*k**3 + 1/9*k**4 - 56/9*k - 2/9*k**2 - 127. Determine j so that q(j) = 0.
-14, -1, 1
Suppose -5*l = h - 24, -2*h + 4*l - 4 = 4. Let -24*u - 12 - 14*u**4 - 22*u**2 - 2*u**3 + 10*u**4 + h + 10*u**4 + 2*u**5 = 0. Calculate u.
-2, -1, 2
Find p, given that 1/5*p**3 - 57/5*p**2 - 212/5 + 216/5*p = 0.
2, 53
Let n = -631 - -1265/2. Let z(s) be the second derivative of 0 - 5/6*s**3 - 1/60*s**5 + n*s**2 - s + 7/36*s**4. Solve z(u) = 0.
1, 3
Let -3*h + 15*h**2 - 36 - 6*h**2 - h**2 - 5*h**2 + 0*h = 0. What is h?
-3, 4
Let p(d) be the second derivative of 0*d**2 + 1/6*d**4 - 46*d + 0 - 1/6*d**3 - 1/20*d**5. What is c in p(c) = 0?
0, 1
Find i, given that -92*i**2 + 1609*i**3 - 3*i**4 - 1582*i**3 + 50*i**2 = 0.
0, 2, 7
Let f = 144427/10 - 72196/5. Factor 11*z + 1/4*z**3 + 10 + f*z**2.
(z + 2)**2*(z + 10)/4
Let h(n) be the first derivative of 7*n - 3/2*n**2 + 1/6*n**3 + 1/6*n**4 - 9. Let r(v) be the first derivative of h(v). Factor r(a).
(a - 1)*(2*a + 3)
What is c in -5*c**2 - 125 + 150 + 9*c**2 + 8*c - 28*c = 0?
5/2
Let s(o) be the third derivative of 9/80*o**5 - 3/80*o**6 + 0*o + 0*o**3 + 1/16*o**4 - 17*o**2 + 0 - 1/56*o**7. Determine b so that s(b) = 0.
-2, -1/5, 0, 1
Suppose -57 = -5*b + t + 19, 0 = 5*t - 20. Suppose -46 = -10*k - b. Find p, given that -1/2*p + 0 - 1/6*p**k + 2/3*p**2 = 0.
0, 1, 3
Let a(d) = -d**3 + 9*d**2 - 9*d + 9. Let q be a(8). Let y be 38/(-3)*(20/(-8) + q). Factor y - 27*n - 6*n**3 - 19 + 3*n**3 + 18*n**2.
-3*n*(n - 3)**2
Let g(j) = 3*j + 17. Suppose 5*u + 27 = -2*z + 4*z, -2*u - 6 = 4*z. Let x be g(u). Solve 0*l**2 + 2*l**2 - x - l - l**2 = 0.
-1, 2
Let v(k) be the third derivative of -k**6/480 - 13*k**5/240 - 7*k**4/12 - 10*k**3/3 - 257*k**2. Solve v(h) = 0.
-5, -4
Let d(u) be the third derivative of 1/54*u**4 + 0 + 5*u + 1/60*u**6 + 1/1512*u**8 - 7/270*u**5 + 0*u**3 + 3*u**2 - 1/189*u**7. Find g such that d(g) = 0.
0, 1, 2
Let k(l) = -5*l**3 + 34*l**2 - 95*l - 3. Let g(d) = -16*d**3 + 104*d**2 - 284*d - 10. Let u(h) = 6*g(h) - 20*k(h). Factor u(x).
4*x*(x - 7)**2
Let l(y) be the first derivative of -3/2*y**4 - 1/4*y**5 + 29 + 2*y**2 - 2*y**3 + 0*y. Let f(x) be the second derivative of l(x). Let f(h) = 0. Calculate h.
-2, -2/5
Let o(g) = -10*g**2 - 1245*g - 1259. Let t(l) = 65*l**2 + 8715*l + 8810. Let v(f) = -20*o(f) - 3*t(f). Find m, given that v(m) = 0.
-1, 250
Let v(k) be the first derivative of -k**6/360 - 2*k**5/15 + 17*k**4/24 + 5*k**3 - 8*k + 45. Let t(r) be the third derivative of v(r). What is i in t(i) = 0?
-17, 1
Let l(w) be the second derivative of w**7/70 + 32*w**6/75 + 111*w**5/50 + w**4/15 - 15*w**3/2 - 34*w**2/5 - 451*w. What is i in l(i) = 0?
-17, -4, -1, -1/3, 1
Let m(f) = 23*f + 3. Let r be m(3). Suppose 5*z - 73 = 3*k + r, -k - 5 = 0. Factor 16*o - 8*o**3 + 23*o**3 - z*o - 8*o**2 + 3*o**2.
5*o*(o - 1)*(3*o + 2)
Let i(m) be the first derivative of 2*m**5/15 - 2*m**4/3 - 22*m**3/9 - 2*m**2 + 2600. Factor i(x).
2*x*(x - 6)*(x + 1)**2/3
Let z(q) be the first derivative of -4/63*q**3 + 0*q - 1/42*q**4 - 64 + 0*q**2. Let z(v) = 0. What is v?
-2, 0
Let o(f) be the third derivative of -f**8/10080 + f**7/7560 + f**4/6 - f**3/3 + 2*f**2 - 24*f. Let r(v) be the second derivative of o(v). Factor r(z).
-z**2*(2*z - 1)/3
Let u be 153/84*(-68)/(-51). Let s = -13/14 + u. Determine k so that -s*k**2 + 0 + 0*k + 21/4*k**3 = 0.
0, 2/7
Let w be 117/36 + 2/(-8). Find d, given that -21*d**3 - d + 3*d**4 + 13*d - 3*d**w - 60 + 45*d**2 = 0.
-1, 2, 5
Let s be (-1 - (-20)/14) + (-11)/(-7). Factor -1326*h**2 - 2 + 1323*h**2 + s.
-3*h**2
Let w(d) be the third derivative of d**7/1155 - d**6/66 + 14*d**5/165 - 2*d**4/11 + 139*d**2 - 2. Suppose w(p) = 0. What is p?
0, 2, 6
Let u(x) be the second derivative of 9/14*x**2 + 1/12*x**4 + x - 24 - 17/42*x**3 + 1/140*x**5. Solve u(o) = 0 for o.
-9, 1
Let f = 278222 - 278222. Factor 1/5*t**2 + f*t - 1/5*t**3 + 0.
-t**2*(t - 1)/5
Let v(d) be the third derivative of -d**7/3360 - d**6/1440 + d**5/60 + d**4/8 + 31*d**3/6 - 2*d**2 - 2. Let z(w) be the first derivative of v(w). Factor z(q).
-(q - 3)*(q + 2)**2/4
Let i(k) be the first derivative o