0
Let m(j) be the first derivative of 3*j**5/80 - j**4/16 - j**3/4 + 4*j + 1. Let w(l) be the first derivative of m(l). Solve w(v) = 0 for v.
-1, 0, 2
Let j = 4/597 - -2360/4179. Solve 6/7*q**4 - 8/7*q**2 + 0*q - 4/7*q**3 + 2/7 + j*q**5 = 0 for q.
-1, 1/2, 1
Factor -34/7*d - 2/7*d**2 + 36/7.
-2*(d - 1)*(d + 18)/7
Let g(i) = -20*i**3 + 85*i**2 - 85*i - 30. Let l(w) = -19*w**3 + 85*w**2 - 86*w - 32. Let o(j) = 4*g(j) - 5*l(j). Factor o(u).
5*(u - 4)*(u - 2)*(3*u + 1)
Let j(h) = h**2 - 8*h + 12. Let u be j(7). Determine z, given that -2*z - 8*z**4 + z**3 - 4*z**2 + z**2 + 11*z**4 + z**u = 0.
-2, -1, 0, 1
Let o(n) = 8*n**2 + 75*n + 11. Let f(d) = -d**2 - 15*d - 2. Let l(b) = -11*f(b) - 2*o(b). Factor l(r).
-5*r*(r - 3)
Suppose 320/3*d - 44*d**2 - 256/3 + 20/3*d**3 - 1/3*d**4 = 0. Calculate d.
2, 8
Let u(f) be the third derivative of -5/3*f**3 + 5/24*f**4 + 23*f**2 + 0 + 0*f + 1/12*f**5. Determine i so that u(i) = 0.
-2, 1
Let u be ((-16)/(-5) - 4)/(1/(-5)). Let r(a) be the first derivative of 1/2*a**2 + 1/4*a**u - 6 + 0*a - 2/3*a**3. Find k such that r(k) = 0.
0, 1
Factor 8/5*u + 2/5*u**3 + 8/5*u**2 + 0.
2*u*(u + 2)**2/5
Factor 96/13*d + 2/13*d**2 + 1152/13.
2*(d + 24)**2/13
Let o = -156409/5 + 31284. Let 6/5 + 3/5*b**2 + o*b = 0. What is b?
-3, -2/3
Let o = -7 + 10. Suppose -2*f + 16 = 3*u + o*f, -2 = -4*u + 3*f. Solve 30*q - 30*q - u*q**2 = 0.
0
Let b be 1094/(-6) + 24/18. Let i = b + 183. Determine p so that 0*p**i + 0*p + 2/5*p**5 + 2/5*p**4 - 4/5*p**3 + 0 = 0.
-2, 0, 1
Let c(b) = -2*b**4 - 7*b**3 - 22*b**2 - 24*b - 7. Let d(j) = j**4 + 3*j**3 + 11*j**2 + 13*j + 4. Let l(u) = -4*c(u) - 7*d(u). Suppose l(o) = 0. What is o?
-5, -1, 0
Let i(x) = x + 1. Let j(z) = -9*z**2 + 9*z**2 + 7*z + 2 - 5*z**2. Let l(k) = -2*i(k) + j(k). Factor l(g).
-5*g*(g - 1)
Let j = 1295 + -1295. Factor -49/4*m + j - 1/4*m**3 + 7/2*m**2.
-m*(m - 7)**2/4
Let x = -55 + 125. Let h be 9/(-24) + x/16. Solve -8/7*r**3 + 0 + 0*r**2 + 4/7*r**h + 0*r = 0.
0, 2
Let n(q) be the second derivative of -q**5/30 - q**4/6 + q**3 - 13*q**2/2 - 25*q. Let w(p) be the first derivative of n(p). Factor w(u).
-2*(u - 1)*(u + 3)
Let a(c) be the first derivative of 0*c**2 - 1/9*c**6 + 2 + 1/6*c**4 + 4/15*c**5 + 0*c - 4/9*c**3. What is n in a(n) = 0?
-1, 0, 1, 2
Let w(i) = 11*i + 7*i**3 + 0*i**2 - 5*i**4 - 24*i - 12 + 20*i**2. Let k(s) = -10*s**4 + 15*s**3 + 40*s**2 - 25*s - 25. Let g(x) = 3*k(x) - 5*w(x). Factor g(m).
-5*(m - 3)*(m - 1)*(m + 1)**2
Let k(g) be the second derivative of 4/3*g**4 - 56/3*g**3 - 2*g - 16*g**2 + 3 + 46/5*g**5 - 13/3*g**6 + 25/42*g**7. Find u such that k(u) = 0.
-2/5, 2
Let h be (-1 - 2/3*-1)/(340/(-6528)). Factor 8/5*r**5 - 28/5*r**4 - 8/5*r - 8/5*r**2 + 4/5 + h*r**3.
4*(r - 1)**4*(2*r + 1)/5
Let t(x) be the second derivative of x**6/80 - 9*x**5/80 + 13*x**4/32 - 3*x**3/4 + 3*x**2/4 + 8*x + 2. Find l, given that t(l) = 0.
1, 2
Factor 4/3*d + 0 + 4/3*d**2 - 1/3*d**3 - 1/3*d**4.
-d*(d - 2)*(d + 1)*(d + 2)/3
Suppose 5*b - 87 = 438. Let u be 15/b - 22/(-42). Factor 2/3 + 2*j + u*j**3 + 2*j**2.
2*(j + 1)**3/3
Let j(b) be the first derivative of -b**7/3360 + b**6/480 - b**4/24 + b**3/3 - 13. Let q(h) be the third derivative of j(h). Factor q(d).
-(d - 2)**2*(d + 1)/4
Suppose -k - 20 = -6*k. Suppose -r = -k*r + b + 4, 2 = 3*r - 2*b. Find x, given that -x**2 + 0*x - 3*x**r - 2*x + 2*x**2 = 0.
-1, 0
Let p = -2392 + 2396. Factor -2 - 39/2*g**2 - 17/2*g**p + 37/2*g**3 + 10*g + 3/2*g**5.
(g - 2)*(g - 1)**3*(3*g - 2)/2
Let y(j) be the third derivative of -j**8/784 - j**7/245 + j**5/70 + j**4/56 + 191*j**2. Factor y(s).
-3*s*(s - 1)*(s + 1)**3/7
Let b be 0 - (9 - ((-108)/(-6) - 6)). Factor 28/5*h**b + 0*h - 98/5*h**2 + 0 - 2/5*h**4.
-2*h**2*(h - 7)**2/5
Let b(k) = k**2 + k - 2. Suppose -3*l - 17 = -8*l + s, 2*l = -4*s + 20. Let d(h) = -23*h + l - 2*h**2 + 21*h + 0*h**2. Let r(m) = -9*b(m) - 4*d(m). Factor r(u).
-(u - 1)*(u + 2)
Solve 2/7*b**5 + 0 + 6/7*b**2 - 2/7*b**3 + 0*b - 6/7*b**4 = 0 for b.
-1, 0, 1, 3
Factor 45*o - 150*o**2 + 288*o + 147*o**2.
-3*o*(o - 111)
Let g(q) = -q**2 + 6*q - 4. Let a(r) = 5*r - r - 3*r. Let l(u) = 2*a(u) - g(u). Factor l(d).
(d - 2)**2
Let s(t) be the third derivative of t**6/200 - t**5/10 + 23*t**4/40 - 7*t**3/5 - 34*t**2. Solve s(k) = 0.
1, 2, 7
Suppose 0 = 2*u - 22 - 18. Let d be 3/2*u/6. Factor -3/2*m**3 + 3/4*m**d + 0*m + 3/4*m**4 + 0 + 0*m**2.
3*m**3*(m - 1)*(m + 2)/4
Suppose 4*t - 7 = -t + 4*p, 5*t + p = -8. Let m be (-1)/(t - 0) + 3. Solve -12*g**2 - m - 6*g**2 + 10*g + 12*g + 0 = 0.
2/9, 1
Let m(p) be the third derivative of 1/180*p**5 - 8*p**2 - 1/36*p**4 + 0*p**3 - 1/630*p**7 + 0*p + 0 + 1/180*p**6. Factor m(f).
-f*(f - 2)*(f - 1)*(f + 1)/3
Determine i, given that -528*i**2 + 1435 - 4183 + 2108 + 992*i - 4*i**4 + 104*i**3 = 0.
2, 20
Let x(a) be the third derivative of -3*a**6/40 + 47*a**5/60 - 23*a**4/12 + 4*a**3/3 + 305*a**2 + 2. Factor x(m).
-(m - 4)*(m - 1)*(9*m - 2)
Let q(w) = 22*w - 216. Let g be q(10). Factor 0*h - 1/8*h**3 + 1/8*h**5 + 0 - 1/4*h**2 + 1/4*h**g.
h**2*(h - 1)*(h + 1)*(h + 2)/8
Suppose -1/4*t**2 - 5/4*t + 0 = 0. What is t?
-5, 0
Let -750*d**3 + 42*d**2 - 3*d**4 - 39 + 264*d**3 + 266*d**3 - 36*d + 256*d**3 = 0. Calculate d.
-1, 1, 13
Let z(y) be the first derivative of -y**2 - 5 + 4/3*y**3 - 5/8*y**4 + 1/10*y**5 + 0*y. Determine i so that z(i) = 0.
0, 1, 2
Determine w, given that -2/5*w + 0 + 13/5*w**2 - 13/5*w**4 + 2/5*w**3 = 0.
-1, 0, 2/13, 1
Let l be 1/3*(-33 + 56 - 23). Let o be 2 + -1 - 6/8. Let -o + l*h + 1/4*h**2 = 0. Calculate h.
-1, 1
Suppose 206 = -2*u + 5*u + 191. Factor 68/7*m**4 - 4/7*m**u - 92*m**2 - 268/7*m**3 + 448*m + 784.
-4*(m - 7)**3*(m + 2)**2/7
Let k be 321/132 + 78/(-429). Let 1/4*v**4 - 1 - 1/4*v**3 - k*v**2 - 11/4*v = 0. Calculate v.
-1, 4
Let b be (4 + 18)/(-2) + 19 + -8. Factor 0*r**3 + 2/3*r**4 + 2/3*r**5 + 0*r**2 + 0*r + b.
2*r**4*(r + 1)/3
Factor 0 + 15*z**2 + 5/2*z**4 - 35/2*z**3 + 0*z.
5*z**2*(z - 6)*(z - 1)/2
Let b(h) be the first derivative of -h**3/5 + 3*h**2 - 72*h/5 + 84. Factor b(r).
-3*(r - 6)*(r - 4)/5
Let p(c) be the first derivative of -2*c**6/9 - 16*c**5/15 + 64*c**3/9 + 32*c**2/3 + 154. Let p(j) = 0. Calculate j.
-2, 0, 2
Let z(a) be the second derivative of -3/4*a**4 + 1/20*a**5 + 0 + 9/2*a**3 - 8*a - 27/2*a**2. Factor z(k).
(k - 3)**3
Let h(v) be the third derivative of -v**5/40 + v**4 + 17*v**3/4 + 29*v**2. Factor h(d).
-3*(d - 17)*(d + 1)/2
Solve -151 - 196 - 133 + 5*b**4 - 10*b**4 - 65*b**3 - 310*b**2 - 640*b = 0 for b.
-4, -3, -2
Let m(d) be the second derivative of 0*d**2 + 1/90*d**6 - 1/27*d**3 + 0 - 14*d - 1/36*d**4 + 1/180*d**5 + 1/378*d**7. Let m(g) = 0. What is g?
-2, -1, 0, 1
Let s(d) = -2*d**2 - 6*d + 9. Let g(y) = 5*y**2 + 11*y - 21. Let b(t) = -6*g(t) - 14*s(t). Determine p so that b(p) = 0.
0, 9
Let q(c) be the second derivative of 2*c**2 - 1/5*c**5 - 12*c + 2/3*c**3 - 1/3*c**4 + 0. Factor q(z).
-4*(z - 1)*(z + 1)**2
Let v be (16 - (-246)/(-16))*12/10. Factor -v + 1/2*z + 1/4*z**2.
(z - 1)*(z + 3)/4
Let o = 2731/1449 + -53/161. Suppose 0 - 2/9*n**2 + o*n = 0. What is n?
0, 7
Let i be (64/(-24) - -4)*1/14. Let d(h) be the first derivative of 3 - i*h**3 + 0*h**2 + 3/14*h**4 - 6/35*h**5 + 1/21*h**6 + 0*h. Factor d(w).
2*w**2*(w - 1)**3/7
Factor -89*z**4 - 10*z**3 + 4*z**2 - 2*z**5 + 191*z**4 - 94*z**4.
-2*z**2*(z - 2)*(z - 1)**2
Let p(b) = 3*b**5 + 14*b**4 - 19*b**3 - b**2 + 9*b - 20. Let w(d) = 3*d**5 + 12*d**4 - 18*d**3 + 9*d - 18. Let v(h) = 6*p(h) - 7*w(h). Factor v(t).
-3*(t - 1)**3*(t + 1)*(t + 2)
Find i, given that -18914 - 13086 - 39905*i - 805*i**2 + 7105*i - 5*i**3 = 0.
-80, -1
Let h be 9/15 + 753/(-8190)*3. Let o = h - 1/26. Find m such that -2/7*m**5 - o*m**3 + 0*m**2 + 0 + 0*m + 4/7*m**4 = 0.
0, 1
Suppose -314*m - 9 = -317*m. Let c(w) be the first derivative of -3/5*w - 3/10*w**4 + 0*w**3 + 3/25*w**5 + m + 3/5*w**2. Solve c(g) = 0 for g.
-1, 1
Let h(l) be the third derivative of -l**5/60 + 3*l**4 - 216*l**3 - 49*l**2. Factor h(o).
-(o - 36)**2
Let f(m) = m**2 - 2*m + 2. Let h be f(0). Find b such that 6 - 597*b + 3*b**h + 298*b + 290*b = 0.
1, 2
Let n(i) = -4*i**4 + 6*i**2 + 2*i - 2. Let r(q) = q**2 + q - 1. Let b = -32 - -30. Let f(g) = b*r(g) + n(g). Suppose f(a) = 0. What is a?
-1, 0, 1
Solve 171*i - 165*i**2 + 17*i**2 + 131*i - 60 + 18*i**3 = 0