 s.
-4, -1, 0, 1
Find t such that -1/4*t**2 + 11/2*t - 105/4 = 0.
7, 15
Let k = 1664 + -1662. Let p(i) be the third derivative of 0*i - 11*i**k + 0 - 3/28*i**4 + 0*i**3 - 1/420*i**6 + 1/35*i**5. Factor p(q).
-2*q*(q - 3)**2/7
Let t be 119/((-532168)/208) + 262/86. Let -2/5*n**4 + 27/5*n + 13/5*n**t - 29/5*n**2 - 9/5 = 0. What is n?
1, 3/2, 3
Suppose -l = -2*k + 29, l + 5*k = 4*l + 83. Let z be -3*(-3 + l/(-9)). Factor 1/2*o**3 - 7/2*o + o**2 + z.
(o - 1)**2*(o + 4)/2
Suppose -5*t + 80 = 5*a, 0 = -3*t - a - a + 44. Find n such that 16*n**2 - 4*n + t + 1 + 8*n**3 + 2 - 8*n**4 - 4*n**5 - 23 = 0.
-2, -1, 1
Let k be 5681/1729 + ((-4)/40*-8 - 19/5). Determine t, given that 30/7*t - k*t**2 + 0 = 0.
0, 15
Solve 25 + 205/2*x - 5/2*x**5 - 28*x**3 + 22*x**4 - 119*x**2 = 0 for x.
-2, -1/5, 1, 5
Let x(i) be the first derivative of 2*i**2 + 0*i + 7 - 1/2*i**4 + 2/3*i**3. Let x(z) = 0. Calculate z.
-1, 0, 2
Let u(c) = -c**3 - 43*c**2 - 147*c - 4408. Let s be u(-42). Solve 4/9*g + 2/9*g**s - 2/3 = 0 for g.
-3, 1
Let d(s) be the third derivative of -2/5*s**5 + 0*s**3 - 23*s + 11/30*s**6 + s**2 - 2/35*s**7 + 0 + 0*s**4. Factor d(o).
-4*o**2*(o - 3)*(3*o - 2)
Let l(m) be the first derivative of -m**4/20 + 42*m**3/5 - 2646*m**2/5 + 86*m - 22. Let n(s) be the first derivative of l(s). Let n(z) = 0. What is z?
42
Let j(s) be the second derivative of s**4/4 + 173*s**3 + 1035*s**2/2 - 905*s - 1. Factor j(n).
3*(n + 1)*(n + 345)
Let h(n) be the first derivative of n**6/5 + 9*n**5/25 - 3*n**4/2 + 12*n**2/5 - 9*n/5 + 411. Solve h(y) = 0.
-3, -1, 1/2, 1
Solve -298116 - 111112*s**2 - 410958*s + 12378*s - 2817928*s**4 - 4*s**5 + 2817556*s**4 - 11016*s**3 = 0 for s.
-39, -7, -1
Let x(g) be the third derivative of g**6/48 + 211*g**5/24 + 32*g**2 + 2*g - 5. Factor x(f).
5*f**2*(f + 211)/2
Let d = 160 - 153. Factor 20*m**3 - 6*m**2 - d*m**3 - 11*m**3.
2*m**2*(m - 3)
Let j(s) be the first derivative of s**3/6 - 16*s**2 + 507. Factor j(o).
o*(o - 64)/2
Let y(n) be the third derivative of n**8/84 - 2*n**7/15 - 2*n**6/15 + 28*n**5/15 + 29*n**2 + 1. Determine a so that y(a) = 0.
-2, 0, 2, 7
Let m(x) = -5*x**4 + 43*x**3 - 90*x**2. Let o(h) = 56*h**2 - 11*h**4 + 244*h**2 - 30*h**2 - 131*h**3 + 26*h**4. Let g(d) = -17*m(d) - 6*o(d). Factor g(r).
-5*r**2*(r - 9)*(r - 2)
Factor -2/3*v**4 - 52/3*v**2 + 0 - 10*v**3 + 0*v.
-2*v**2*(v + 2)*(v + 13)/3
Let u(c) be the third derivative of c**5/60 - 125*c**4/24 + 61*c**3 + 8306*c**2. Factor u(a).
(a - 122)*(a - 3)
Let q(c) = 3*c + 18. Let m be q(-6). Suppose -28*t**3 + 2*t + 10*t**2 + 0 + 36*t**3 + m = 0. What is t?
-1, -1/4, 0
Let r(s) be the second derivative of -s**7/189 + s**6/9 - 13*s**5/18 + 35*s**4/18 - 2*s**3 + 3006*s. What is a in r(a) = 0?
0, 1, 2, 3, 9
Let z(j) = -4*j**3 + 588*j**2 + 8336*j - 10786. Let o(f) = 7*f**3 - 1176*f**2 - 16668*f + 21573. Let k(y) = -14*o(y) - 27*z(y). Factor k(a).
2*(a + 30)**2*(5*a - 6)
Let h(f) be the third derivative of f**5/20 + 1037*f**4/8 - 1039*f**3 + 9385*f**2. Suppose h(y) = 0. Calculate y.
-1039, 2
Let w(v) be the second derivative of v**10/7560 + v**9/630 + v**8/210 + v**4/12 + 28*v**3/3 + 157*v. Let i(x) be the third derivative of w(x). Factor i(l).
4*l**3*(l + 2)*(l + 4)
Let w(p) be the first derivative of -p**6/360 - 7*p**5/120 + 5*p**4/4 - 14*p**3/3 - 118. Let x(l) be the third derivative of w(l). Find g, given that x(g) = 0.
-10, 3
Let w(g) = g**3 + 5*g**2 + 8*g + 24. Let h be w(-4). Let 5*c**2 - h - 3*c**2 - 36 - 41*c + 10 + 9*c = 0. What is c?
-1, 17
Factor -197192/5 + 195936/5*v + 2/5*v**3 + 1254/5*v**2.
2*(v - 1)*(v + 314)**2/5
Let v = -68358 - -68363. Let -88/3*i**3 + 20*i**4 - 64/3*i + 6*i**v + 0 - 176/3*i**2 = 0. What is i?
-4, -2/3, 0, 2
Let d be 2 - (10 + -10)/(-7 + (-12)/(-2)). Suppose -9/11*r**5 + 32/11 - 184/11*r**3 + 6*r**4 - 144/11*r + 240/11*r**d = 0. What is r?
2/3, 2
Let p = 34357/79023 + -70/11289. Factor 1/7*v**4 + 11/7*v - 6/7 - p*v**2 - 3/7*v**3.
(v - 3)*(v - 1)**2*(v + 2)/7
Let 3/2*y**2 + 495 + 183/2*y = 0. Calculate y.
-55, -6
Let h(p) be the third derivative of p**4/4 - 7*p**3/3 - 9*p**2. Let d be h(3). Factor -28*y**3 - 2*y + 9*y**4 + 4*y**3 + 0*y + 21*y**2 - d*y.
3*y*(y - 1)**2*(3*y - 2)
Solve -129*a + 515/4 + 1/4*a**2 = 0.
1, 515
Let o(p) = -5*p + 67. Let b be o(15). Let i be b + ((-185)/(-30) - -3). Factor -5/6*w**2 - 1/3 + i*w.
-(w - 1)*(5*w - 2)/6
Suppose -11*g - 19 + 41 = 0. Suppose -200*j + 82 - 1314 - 768 + 10*j**g - 15*j**2 = 0. Calculate j.
-20
Factor 186/13 + 10*j - 2/13*j**3 - 58/13*j**2.
-2*(j - 3)*(j + 1)*(j + 31)/13
Let h(x) = 44*x**2 - 12*x - 32. Let l(a) be the first derivative of -31 - 21*a + 29/3*a**3 - 4*a**2. Let n(w) = -5*h(w) + 8*l(w). Find g such that n(g) = 0.
-2/3, 1
What is p in 5/4*p**2 - 1/12*p**3 + 39/4*p - 1859/12 = 0?
-11, 13
Let m(g) be the second derivative of -g**6/10 + 3*g**5/20 + 81*g**4/4 - 81*g**3/2 - 2*g - 522. Solve m(a) = 0.
-9, 0, 1, 9
Suppose 75/2*p**3 + 635/4*p**2 + 25 - 555/4*p = 0. Calculate p.
-5, 4/15, 1/2
Let g(q) be the first derivative of -q**4 + 0*q**2 + 0*q + 60 + 1/2*q**5 - 2/3*q**3. Factor g(l).
l**2*(l - 2)*(5*l + 2)/2
Let q(m) = 12008993*m**3 + 157319*m**2 + 679*m - 3. Let a(s) = -24017985*s**3 - 314639*s**2 - 1360*s + 5. Let b(v) = 4*a(v) + 7*q(v). Factor b(t).
-(229*t + 1)**3
Let z(p) = -p**2 - 14*p + 18. Let n be z(-15). Suppose -4*l = 2*g - 4, 4*l - 2*g = n*l + 6. Let 3*c - 250*c**l + 251*c**2 - 6 - 4*c = 0. What is c?
-2, 3
Let v = -2164091/5 - -432819. Let 0*u**2 + v*u**5 + 4/5*u**3 + 0*u + 2*u**4 + 0 = 0. What is u?
-2, -1/2, 0
Factor -658503/2 + 259/4*k**3 + 613089/4*k + 22185/4*k**2 + 1/4*k**4.
(k - 2)*(k + 87)**3/4
Suppose -2915 - 60*p**2 + 710 + 705*p - 207*p + 252*p + 55*p**2 = 0. Calculate p.
3, 147
Suppose -214*y**3 - 298*y**2 + 18*y**2 + 216*y**3 = 0. What is y?
0, 140
Let y be (8/(-100))/(215/(-1075)). Let y*q**3 + 0 + 0*q**2 + 0*q = 0. Calculate q.
0
Suppose 30*m**4 - 19*m**3 + 2*m + 170*m**4 - 2*m - 205*m**4 + 4*m**2 = 0. What is m?
-4, 0, 1/5
Let p(m) = -7*m**2 + 32*m + 128. Let b(w) = -11*w**2 + 64*w + 256. Let n = -3 + 6. Let r(g) = n*b(g) - 5*p(g). Factor r(c).
2*(c + 8)**2
Find a, given that 6*a**2 - 6*a**4 + 36/11*a + 12/11*a**5 - 48/11*a**3 + 0 = 0.
-1, -1/2, 0, 1, 6
Let k = 186 - 182. Let i(j) be the second derivative of -1/231*j**7 + 0*j**k + 1/165*j**6 + 0*j**3 - j + 0 + 0*j**5 + 0*j**2. Factor i(g).
-2*g**4*(g - 1)/11
Let 7*y**4 + 29 - 35*y**2 + 5*y**2 - 38*y**3 - 51 - 14 - y**2 + 2*y**5 + 96*y = 0. Calculate y.
-6, -2, 1/2, 1, 3
Suppose -k = -2*q - 238, -3*k - q = k - 970. Factor 74*b + 128*b - k*b - 4*b**2.
-4*b*(b + 10)
Suppose b - 3*m - 20 = 0, -26*b + m + 2 = -28*b. Factor 13/3 + 1/3*v**b - 14/3*v.
(v - 13)*(v - 1)/3
Let c = -36 + 38. Let b(n) = 2050*n - 4. Let u be b(c). Find g such that 64*g**3 + 78*g**2 + 3742 - 2*g**4 + 89*g**2 - 935*g**2 - 11934 + u*g = 0.
8
Let s(x) be the third derivative of -12*x**3 + 37/6*x**4 + 1/30*x**6 + 4*x**2 + 0*x + 3 - 4/3*x**5. Find f such that s(f) = 0.
1, 18
Let f(i) be the third derivative of 0*i + 1/7*i**5 - 19/56*i**4 + 0*i**3 + 0 + 74*i**2 - 1/280*i**6. Find n such that f(n) = 0.
0, 1, 19
Suppose 0 = 8*u + 339 - 355. Factor -q**2 + 42*q + 3 - 24*q**u - 18 - 2*q**3 - 77*q - 3*q**3.
-5*(q + 1)**2*(q + 3)
Let k(b) = 26*b + 241. Let s be k(-9). Suppose -f = -3*g - 2, 4*g = -4*f + s*g + 8. Factor 1/8*r**f + 0 - 3/8*r.
r*(r - 3)/8
Let n(p) = -6*p + 27. Let d be n(4). Let m be (-5 + 498/90)*(-33)/(-22). Suppose -3/5*q**d + 4/5*q - m + q**2 = 0. What is q?
-1, 2/3, 2
Let q(r) be the first derivative of -25*r**2 + 0*r - 15 - 1/2*r**4 + 20/3*r**3. Let q(f) = 0. Calculate f.
0, 5
Let d(x) be the second derivative of -x**5/4 + 451*x**4/4 - 358*x**3 - 538*x**2 - 3030*x. Factor d(y).
-(y - 269)*(y - 2)*(5*y + 2)
Let t(f) be the first derivative of -f**4/24 + 7*f**3/3 - 48*f**2 + 1280*f/3 - 2193. Factor t(j).
-(j - 16)**2*(j - 10)/6
Let k(a) be the first derivative of a**6/120 - a**5/10 + 11*a**4/24 - a**3 + 11*a**2/2 - 9. Let n(z) be the second derivative of k(z). Factor n(p).
(p - 3)*(p - 2)*(p - 1)
Let r(y) be the second derivative of -y**6/180 + 23*y**5/20 - 221*y**3/6 - 238*y. Let u(q) be the second derivative of r(q). Factor u(z).
-2*z*(z - 69)
Let r(s) be the second derivative of -2*s**5/35 + 11*s**4/42 - 2*s**3/7 + 26*s - 7. Let r(a) = 0. 