*6/120 + 192721*t**5/20 + 11*t**2 - 7*t + 17. Let r(w) = 0. Calculate w.
0, 1, 1317
Suppose -1420/9*k**3 + 0 + 1072/9*k**2 - 82/3*k - 14/9*k**5 + 608/9*k**4 = 0. Calculate k.
0, 3/7, 1, 41
Let v(j) be the first derivative of -57 - 2/3*j**3 + 1/2*j**4 - 6*j - 5*j**2. What is u in v(u) = 0?
-1, 3
Let b(i) = -271*i**4 + 8*i**3 + 326*i**4 - 1875 + 1048*i**2 - 375*i - 398*i**3 - 3*i**5. Let l(u) = u**4 + u**2. Let p(n) = -b(n) - 2*l(n). Factor p(f).
3*(f - 5)**4*(f + 1)
Let q(b) be the first derivative of -2*b**5/35 + 26*b**4/7 - 100*b**3/21 - 52*b**2/7 + 102*b/7 - 106. Solve q(l) = 0 for l.
-1, 1, 51
Factor -616 - 1651 - 1909 + 1383*w + 3*w**2.
3*(w - 3)*(w + 464)
Let r = -442/343 + 2797/1372. Find y, given that -1/2 + r*y - 1/4*y**2 = 0.
1, 2
Let r(k) be the third derivative of 1 - 1/630*k**7 + 0*k + 0*k**3 + 20*k**2 + 0*k**6 + 0*k**5 + 0*k**4. Factor r(q).
-q**4/3
Let c(t) be the second derivative of t**8/2240 - t**7/140 - 7*t**6/240 - 4*t**4/3 + 2*t + 34. Let w(s) be the third derivative of c(s). Factor w(k).
3*k*(k - 7)*(k + 1)
Let n(p) be the third derivative of p**5/120 + 1361*p**4/24 + 1852321*p**3/12 + 14*p**2 + 2*p + 23. Find q, given that n(q) = 0.
-1361
Let q = 10211 + -10211. Let b(u) be the first derivative of q*u + 11 + 1/10*u**5 + 6*u**3 - 3/2*u**4 + 0*u**2. Let b(x) = 0. What is x?
0, 6
Let a(f) be the first derivative of -f**4 + 3380*f**3/3 + 3386*f**2 + 3388*f + 13275. Factor a(b).
-4*(b - 847)*(b + 1)**2
Let f(t) = 8*t**4 - 149*t**3 + 4481*t**2 + 4638*t + 7. Let b(n) = n**4 - 2*n**3 - n**2 + 2*n + 1. Let l(q) = 7*b(q) - f(q). What is o in l(o) = 0?
-1, 0, 68
Let r(y) = -7*y**2 + 22*y + 21. Let q(s) = 15*s**2 - 40*s + 20*s - 42 - 25*s. Let f(j) = 4*q(j) + 9*r(j). Factor f(d).
-3*(d - 7)*(d + 1)
Let j(c) = -4*c - 2. Let q be j(-1). Let i(v) = -15*v + 14 + 8*v**q - 8*v - 13. Let l(u) = 4*u**2 - 11*u + 1. Let t(x) = 3*i(x) - 7*l(x). Factor t(n).
-4*(n - 1)**2
Let r = -452 + 452. Let l(p) be the third derivative of 0*p**4 + 0*p - 1/1344*p**8 - 3/20*p**5 - 13/840*p**7 + 29*p**2 - 1/10*p**6 + 0 + r*p**3. Factor l(s).
-s**2*(s + 1)*(s + 6)**2/4
Let q(v) = 799*v - 3*v**2 - 831*v - 29 + 2*v**2. Let f be q(-1). Factor 0 - 1/4*p**3 + 3/2*p**f - 2*p.
-p*(p - 4)*(p - 2)/4
Let q(c) be the first derivative of c**6/660 - c**5/33 - 23*c**4/132 - 4*c**3/11 - 46*c**2 + 23. Let j(u) be the second derivative of q(u). Factor j(p).
2*(p - 12)*(p + 1)**2/11
Let v be (5/15)/((-15)/(-180)). Let g(t) be the first derivative of -10/3*t**3 + 0*t**5 + 15/4*t**v + 0*t**2 - 18 - 5/6*t**6 + 0*t. Factor g(x).
-5*x**2*(x - 1)**2*(x + 2)
Suppose -41*s - 119 - 45 = 0. Let h(t) = t**3 + 2*t**2 - 17*t - 33. Let c be h(s). Find p such that -1/6*p**2 + 0 - 1/3*p + 1/6*p**c = 0.
-1, 0, 2
Let l(o) = 8*o**3 + 168*o**2 - 3306*o + 19264. Let z(w) = 13*w**3 + 169*w**2 - 3308*w + 19263. Let x(y) = 3*l(y) - 2*z(y). Factor x(u).
-2*(u - 57)*(u - 13)**2
Let b be (3 - (-29)/(-10))*(-3 + 2057). Let v = b - 205. Determine p, given that 6/5*p + v*p**2 + 4/5 = 0.
-2, -1
Let j(q) = 13*q - 97. Let d be j(11). Let t(i) = -i**2 + 44*i + 95. Let c be t(d). Factor 3/4*w**2 + 1/4 - 1/4*w**c - 3/4*w.
-(w - 1)**3/4
Factor 310*u - 105*u**2 + 1630*u**3 + 319*u - 248*u - 1627*u**3 - 279.
3*(u - 31)*(u - 3)*(u - 1)
Let -1/2*f**2 - 196 + 63/2*f = 0. What is f?
7, 56
Suppose -2 = 3*j - 5. Let k be 6/76*(110/30 - j). Factor 0*r - 6/19*r**3 - 2/19*r**4 - k*r**2 + 0.
-2*r**2*(r + 1)*(r + 2)/19
Let b be (-584)/48 + -8 - (-1)/(-4). Let g = 127/6 + b. Let g + 1/4*k**2 + k = 0. Calculate k.
-3, -1
Let q be (-16)/((-464)/(-667)) - -25. Find z, given that 0 + 0*z + 0*z**q + 1/8*z**3 = 0.
0
Let m be 5/(-2)*-4*3/2. Suppose i = -5*i - m*i. Determine t so that -3/8*t**4 - 3/2*t**5 + 0 + i*t + 0*t**2 + 0*t**3 = 0.
-1/4, 0
Let r(t) be the first derivative of -t**4/10 + 38*t**3/15 - 76*t**2/5 + 168*t/5 + 615. Factor r(p).
-2*(p - 14)*(p - 3)*(p - 2)/5
Let h(g) be the second derivative of -204*g + 3528*g**2 + 0 + 1/3*g**4 + 56*g**3. Solve h(y) = 0 for y.
-42
Let c(r) = 7*r - 50. Let z be c(9). Suppose -3*h + 4*y - 7 - z = 0, 4*h = -5*y + 25. Factor 1/6*d + 0*d**4 - 1/3*d**3 + 0 + 1/6*d**5 + h*d**2.
d*(d - 1)**2*(d + 1)**2/6
Let a(p) = -8*p**3 - 19*p**2 + 77*p + 94. Let i(f) = 22*f**3 + 46*f**2 - 232*f - 280. Let h(q) = 8*a(q) + 3*i(q). Solve h(z) = 0.
-2, 11
Let h(r) = -4401*r + 1755. Let t(i) = -5*i**2 - 1. Let o(m) = -h(m) + 3*t(m). Solve o(d) = 0 for d.
2/5, 293
Let a(k) = -k**3 + 7*k**2 + 6*k - 30. Let i be a(2). Let b(d) be the second derivative of 0 - 1/17*d**3 + 0*d**i - 2*d + 1/102*d**4. Factor b(o).
2*o*(o - 3)/17
Suppose 2904 = 54*i - 65*i. Let b be (-2948)/i - -5*3/18. Determine h, given that b*h - 3*h**3 - 24/5 - 18/5*h**2 + 6/5*h**4 = 0.
-2, 1/2, 2
Suppose 3*i + 3*z = 2*i + 3, 2*i = -4*z + 4. Suppose 0 = -4964*p + 5565*p - 1803. Suppose 1/4*k**2 + i*k - 3/4*k**p + 0 = 0. Calculate k.
0, 1/3
Let l(h) be the second derivative of 13*h**6/45 - 8*h**5/3 - 313*h**4/18 - 184*h**3/9 + 12*h**2 + h + 1685. Find b, given that l(b) = 0.
-2, -1, 2/13, 9
Let p = -3074 + 2158. Let v = p + 4588/5. Suppose 0 - 2/15*h**3 + v*h**2 - 24/5*h = 0. Calculate h.
0, 6
Suppose -16*j = -10 + 26. Let a(v) = 2*v**2 + 18*v + 10. Let z(u) = u**2 - u + 3. Let s(i) = j*a(i) - 2*z(i). Find c such that s(c) = 0.
-2
Let v(n) = n**3 + 6*n**2 + 3*n - 5. Let o be v(-5). Suppose 58*q - 3*q**o - q**5 + 16*q**3 + 8*q**2 - 70*q - 8*q**4 = 0. What is q?
-3, -1, 0, 1
Solve 94*f + 2*f - 7007*f**2 + 2560 + 7008*f**2 - 932 = 0.
-74, -22
Let k(u) = -8*u**2 + 1278*u + 200973. Let d(f) = -3*f**2 + 638*f + 100487. Let o(m) = -15*d(m) + 6*k(m). Factor o(a).
-3*(a + 317)**2
Let j(d) = 10*d**4 + 120*d**3 + 840*d**2 + 715*d + 25. Let z(q) = -q**4 + q**3 + q - 5. Let u(p) = j(p) + 5*z(p). Factor u(b).
5*b*(b + 1)*(b + 12)**2
Factor -20*c**2 + 1010*c + 85 - 394*c + 39.
-4*(c - 31)*(5*c + 1)
Let y(f) be the first derivative of 40*f**3 - 75/2*f**2 - 335 - 55/4*f**4 + 10*f. Factor y(k).
-5*(k - 1)**2*(11*k - 2)
Let w(d) be the first derivative of 3*d**4/20 + 639*d**3/5 - 3*d**2/10 - 1917*d/5 + 5414. Solve w(o) = 0 for o.
-639, -1, 1
Let j(k) be the first derivative of 25*k**6/6 - 37*k**5 - 315*k**4/2 - 220*k**3/3 + 100*k**2 + 687. Determine y, given that j(y) = 0.
-2, -1, 0, 2/5, 10
Let h(l) be the second derivative of 11/78*l**4 + 0*l**2 + 3/65*l**5 + 2/13*l**3 + 2 + 2*l + 1/195*l**6. Suppose h(j) = 0. Calculate j.
-3, -2, -1, 0
Let a(v) = -v**3 + v**2 + 26*v - 16. Let b be a(5). Suppose 19 + 65 = b*x. Suppose 1/2*n**4 - 3/2*n**3 - n**2 - 4 + x*n = 0. Calculate n.
-2, 1, 2
Solve -302752*h**2 + 52866*h + 2*h**4 - 26136 + 275536*h**2 + 380*h**3 + 2*h**5 + 102*h**4 = 0.
-33, 1, 12
Let k be (432/(-720))/((-6)/20). Let s(i) be the second derivative of -26*i - 4*i**k - 1/15*i**5 + 0 - 26/9*i**3 - 8/9*i**4. Find q, given that s(q) = 0.
-6, -1
Let m(a) be the first derivative of -30 + 1/195*a**6 + 2/39*a**3 + 0*a**5 - 31*a - 1/26*a**4 + 0*a**2. Let s(h) be the first derivative of m(h). Factor s(b).
2*b*(b - 1)**2*(b + 2)/13
Suppose 1851 = 21*b - 522. Suppose -3*f + 9 = -99. Determine m, given that -16*m**2 + b*m + 2*m**3 - 167*m - f + 96*m = 0.
2, 3
Let z(y) be the third derivative of -1/525*y**7 + 0*y + 55*y**2 + 0*y**3 + 3/200*y**5 - 1/400*y**6 + 0 - 1/120*y**4. Suppose z(q) = 0. What is q?
-2, 0, 1/4, 1
Let s = -17 + 29. Let n(x) be the first derivative of 24*x + s*x**2 - 37 + 58 + 2*x**2 - x**4. Solve n(z) = 0.
-2, -1, 3
Factor -959*l - 149 - 4*l**3 - 108*l**2 - 3287 + 1708 + 95*l.
-4*(l + 3)*(l + 12)**2
Let a = 38 - 31. Let m be 2/((-81)/18 + a). Suppose -m*d + 3/5 + 1/5*d**2 = 0. What is d?
1, 3
Let b(r) be the first derivative of -2*r**5/5 - 43*r**4/2 - 380*r**3/3 + 121. Suppose b(f) = 0. Calculate f.
-38, -5, 0
Let a(o) be the third derivative of o**7/84 - o**6/48 - 7*o**5/8 + 5*o**4/48 + 25*o**3/3 + 55*o**2 - 2*o - 27. Suppose a(p) = 0. What is p?
-4, -1, 1, 5
Let b(g) = -32*g + 2. Let r be b(1). Let h = 56 - r. Find m such that 9*m + 74*m**2 - h*m**2 + 3*m**3 + 0*m**3 = 0.
0, 1, 3
Factor -128/3 + 5/3*u**2 - 18*u.
(u + 2)*(5*u - 64)/3
Let w(i) be the third derivative of 50/3*i**3 + 0 + 15/8*i**4 - 34*i**2 + 0*i + 1/12*i**5. Let w(s) = 0. What is s?
-5, -4
Suppose -302*c - 12 = -305*c. Factor 64*k**3 - 62*k**4 - 14*k**c - 115*k**5 + 52*k**2 + 135*k**5 - 36*