(u) be the first derivative of i(u). Suppose l(t) = 0. What is t?
-5, 0, 1
Let i(k) = k**4 - k**3 + 17*k**2 - 28*k**2 + 10*k**2 - k. Let q(h) = 4*h**4 - 4*h**3 - 6*h**2 - 2*h + 2. Let z(d) = -3*i(d) + q(d). Factor z(l).
(l - 2)*(l - 1)*(l + 1)**2
Let r be -1*((-3)/(-4) - (-7 - 1935/(-180))). Suppose 2/9*z**4 + 0*z**r + 2/9*z**5 + 0*z**2 + 0 + 0*z = 0. What is z?
-1, 0
Let s be ((-4)/(-8))/((-2)/(-192)). Let t = s + -42. Factor 3*d**2 + 4*d**2 + t - 10*d**2 + 3*d.
-3*(d - 2)*(d + 1)
Let k(w) be the second derivative of 237*w + 1/45*w**6 - 2*w**4 - 1/15*w**5 + 0 - 88/9*w**3 - 64/3*w**2. Suppose k(h) = 0. Calculate h.
-2, 8
Suppose -6*l + 233 - 209 = 0. Suppose 0*q = -5*h - 5*q, -h - l = 3*q. Solve 5/6*y**h + 3*y - 4/3 = 0 for y.
-4, 2/5
Suppose -20*v + 29 = -51. Suppose 5*p - 36 = -v*p. Let 0*d + 0 - 1/2*d**3 + 0*d**2 + 5/4*d**p + 7/4*d**5 = 0. What is d?
-1, 0, 2/7
Suppose -3*a + 0*a - 3*k = -129, 4*k - 124 = -3*a. Let m = 295/6 - a. Determine x, given that m*x**3 - 1/6*x**4 - 4/3 + 10/3*x - 3*x**2 = 0.
1, 2
Suppose -13*v = -20821 - 1864. Let n = v - 5135/3. Find o such that -n - 1/3*o**2 - 20/3*o = 0.
-10
Factor -4/5*l**4 + 1/5*l**5 + 4/5*l**2 + 0 - 1/5*l**3 + 0*l.
l**2*(l - 4)*(l - 1)*(l + 1)/5
Let 6370/11*y**2 - 2/11*y**3 - 5068926/11*y - 5075298/11 = 0. What is y?
-1, 1593
Let a be 49/15 + (-17)/((-255)/(-4)). Factor 0*q - 2*q**a + 0 + 2/3*q**4 - 8/3*q**2.
2*q**2*(q - 4)*(q + 1)/3
Let b(c) be the second derivative of -c**5/20 + 47*c**4/12 + 8*c**3 + c - 4507. Factor b(k).
-k*(k - 48)*(k + 1)
Let z(f) be the first derivative of f**6/720 - 31*f**5/240 + 5*f**4/8 - 18*f**3 - 4*f + 1. Let x(m) be the third derivative of z(m). Factor x(u).
(u - 30)*(u - 1)/2
Let h(z) be the second derivative of -1/15*z**6 - 2/3*z**3 - 3*z + 1/6*z**4 + 1/5*z**5 - 5 + 0*z**2. Factor h(b).
-2*b*(b - 2)*(b - 1)*(b + 1)
Let z = -328 - -330. Solve -25*b - 5*b**3 + b + 20*b**z + 10 - b = 0 for b.
1, 2
Let h(q) be the first derivative of 4*q + 1/8*q**4 - 1/3*q**3 - 91 - q**2. Find p, given that h(p) = 0.
-2, 2
Let z = 184 + -182. Factor 6*h - 2*h**2 + 7 - z*h**2 + 2*h**2 + h**2.
-(h - 7)*(h + 1)
Solve -2*p**3 - 64/5 - 8/5*p + 48/5*p**2 - 2/5*p**4 = 0.
-8, -1, 2
Let r(g) be the second derivative of -g**6/6 + 17*g**5/4 + 665*g**4/12 + 575*g**3/6 - 1863*g. Factor r(n).
-5*n*(n - 23)*(n + 1)*(n + 5)
Let y(f) be the first derivative of f**3/2 + 3*f**2/4 - 273*f - 553. Suppose y(a) = 0. Calculate a.
-14, 13
Let n(r) = 2*r**3 - 20*r**2 + 17*r + 12. Let q be n(9). Factor -6*a**3 + 3*a**4 - 3*a**2 - q*a**5 + 44*a**3 - 35*a**3.
-3*a**2*(a - 1)**2*(a + 1)
Let z be (2/(-9))/(-2) - 63222/(-8856). Let q = z + -27/4. Factor -1/4*p**4 - q*p**2 + 0 - 7/8*p**3 + 1/2*p.
-p*(p + 2)**2*(2*p - 1)/8
Let o(b) = b**2 + b + 11. Let y be o(-4). Let l(a) = -a + 25. Let i be l(y). Let 0 + 8/7*f + 12/7*f**4 + 24/7*f**i + 2/7*f**5 + 26/7*f**3 = 0. What is f?
-2, -1, 0
Let h(y) be the second derivative of -3/5*y**2 - 1/20*y**4 + 49 - 1/25*y**5 + 5/6*y**3 + 2*y. Factor h(n).
-(n - 2)*(n + 3)*(4*n - 1)/5
Let f(h) be the first derivative of -1/7*h**3 - 20 - 2/7*h**2 + 4/21*h**4 - 3*h - 3/70*h**5. Let n(v) be the first derivative of f(v). Factor n(x).
-2*(x - 2)*(x - 1)*(3*x + 1)/7
Let b = -324649 + 324651. Factor 0 - 18*l**b - 4/3*l.
-2*l*(27*l + 2)/3
Let m(s) = -26*s**3 + 1148*s**2 + 1534*s + 360. Let v(k) = 25*k**3 - 1148*k**2 - 1535*k - 362. Let h(c) = -13*m(c) - 14*v(c). Determine l, given that h(l) = 0.
-1, -1/3, 97
Let n(j) = j**4 + 4*j**3 - 46*j**2 + 65*j - 33. Let g(h) = -h**4 - 4*h**3 + 49*h**2 - 64*h + 32. Let o(a) = -3*g(a) - 4*n(a). Determine y, given that o(y) = 0.
-9, 1, 2
Let f(j) be the first derivative of -8*j**6/15 + 216*j**5/25 + 1567*j**4/20 + 1958*j**3/15 + 699*j**2/10 + 76*j/5 - 2037. Determine k so that f(k) = 0.
-4, -1, -1/4, 19
Let b be 3/((-18)/6980)*(-42)/35. Let f(q) = 19*q + 1404 + 5*q - b + 16*q**2. Let d(a) = -17*a**2 - 25*a - 8. Let r(u) = -4*d(u) - 3*f(u). Factor r(t).
4*(t + 1)*(5*t + 2)
Let k(y) be the first derivative of -45/8*y + 68 + 3/2*y**2 - 1/8*y**3. Solve k(r) = 0 for r.
3, 5
Let b = 595952 - 6555460/11. Factor b*k**2 - 14/11*k**4 + 0*k - 2/11*k**3 + 0.
-2*k**2*(k + 1)*(7*k - 6)/11
Let v(a) be the first derivative of 4*a**5/35 + 19*a**4/7 + 176*a**3/7 + 792*a**2/7 + 1728*a/7 - 3975. Factor v(c).
4*(c + 3)*(c + 4)*(c + 6)**2/7
Let l(q) = -22*q - 349. Let k be 3250/(-195) - 4/(-6). Let s be l(k). Let 0 + 0*p + 3/4*p**4 - 3/8*p**s + 3/8*p**5 - 3/4*p**2 = 0. What is p?
-2, -1, 0, 1
Let w(i) be the first derivative of -17*i**2/2 - 83*i - 109. Let o be w(-5). Find c, given that 4/5*c**o - 8/5*c + 4/5 = 0.
1
Factor 0 + 82/3*d**3 + 0*d + 2/3*d**4 + 52*d**2.
2*d**2*(d + 2)*(d + 39)/3
Let a(p) = 3*p**3 - 6*p - 33. Let s be a(-8). Let w = -1519 - s. Suppose 0 + 9/2*o**4 + 0*o - 6*o**w - 12*o**3 + 27/2*o**5 = 0. What is o?
-2/3, 0, 1
Suppose -1819*x - 1337*x + 233*x + 8769 = 0. Factor 0 - 9/4*w - 13/2*w**2 - 3/2*w**4 + 1/4*w**5 - 6*w**x.
w*(w - 9)*(w + 1)**3/4
Solve -148*q**2 - 303*q**2 + 3*q**5 - 83 + 397*q - 1 - 46*q**4 + 240*q**3 - 59*q**2 = 0 for q.
1/3, 1, 3, 4, 7
Let p(t) = 7*t**2 - 13*t + 2. Let g(b) = 3*b**2 + b + 1. Suppose 13*n = 10*n + 3. Let k(y) = n*p(y) - 2*g(y). Factor k(w).
w*(w - 15)
Suppose -9*k = 25 - 124. Factor -3*v**2 + 3*v**2 + k*v - v**2 - 2*v**2 + 43*v.
-3*v*(v - 18)
Let h(c) be the first derivative of 2*c**6/3 + 48*c**5/5 + 41*c**4 + 152*c**3/3 - 72*c**2 - 224*c - 820. Determine r so that h(r) = 0.
-7, -2, 1
Let c be 1962/(-3815)*(-10)/(-4) + (-3 - -14). Factor -2 - c*n + 10/7*n**2.
2*(n - 7)*(5*n + 1)/7
Let t(n) = n**3 - 37*n**2 + 183*n - 1679. Let g be t(33). Factor -18/7*y + 10/7*y**3 + 6/7*y**2 + 0 + 2/7*y**g.
2*y*(y - 1)*(y + 3)**2/7
Let m(c) be the third derivative of 1/70*c**5 - 19*c + 0 + 3/280*c**6 + 0*c**3 + 0*c**4 - 3*c**2 - 1/245*c**7. Factor m(p).
-3*p**2*(p - 2)*(2*p + 1)/7
Let f(x) be the third derivative of -11/72*x**4 + 121/18*x**3 + 14 + 3*x**2 + 1/720*x**5 + 0*x. Factor f(m).
(m - 22)**2/12
Suppose 0 = 5*v - 2*v - 5*d - 440, -5*v + 696 = d. Let a = v - 138. Factor -n - 200*n**2 - 7*n + 204*n**a.
4*n*(n - 2)
Find p, given that -578*p - 58 - 1106*p**2 - 62 + 553*p + 78*p**3 - 361*p - 566*p = 0.
-2/3, -2/13, 15
Let v be 0*(470/(-40) + 12). Suppose -6 = -2*a, -n - 3*a = -12 - v. Determine h so that 0 + 2/3*h**4 - 4/3*h**n + 0*h**2 + 0*h = 0.
0, 2
Let o = 42809 + -42807. What is u in 0 + 7/3*u**3 - 4/3*u**5 + 5/3*u**4 + 0*u - 2/3*u**o = 0?
-1, 0, 1/4, 2
Let z(m) = -m - 1. Let p(j) = -j**2 - 18*j - 62. Let y be p(-14). Let a(w) = w**3 - 3*w**2 + 5*w + 3. Let t(o) = y*z(o) - 2*a(o). Factor t(s).
-2*s*(s - 2)*(s - 1)
Let q be 169/13 + (-7 - (-75)/(-55)) + -3. Determine w so that 18/11*w**3 + 6/11*w**2 - 12/11 - q*w + 6/11*w**4 = 0.
-2, -1, 1
Suppose 0 = 4*t - 0*z + 3*z - 35, -8 = 5*t - 2*z. Suppose -1/3*w**4 - t*w**2 + 4/3*w + 8/3 - 5/3*w**3 = 0. Calculate w.
-2, 1
Let t(k) be the third derivative of k**9/30240 - k**7/2520 + 137*k**5/60 + k**2 + 93*k. Let d(c) be the third derivative of t(c). Factor d(s).
2*s*(s - 1)*(s + 1)
Let 1655/4*h**2 - 1 - 827*h = 0. What is h?
-2/1655, 2
Let l = 697 - 683. Suppose -l*q + 29 + 13 = 0. What is h in 0 - 3/4*h**q + 0*h + 3*h**2 = 0?
0, 4
Let v be ((-4)/1)/((5 - 17) + 10). Suppose 3*f + 2*f - 495*f**2 + 450*f**v = 0. Calculate f.
0, 1/9
Let m(l) be the third derivative of -l + 1/840*l**7 + 1/3*l**3 - 111*l**2 - 1/24*l**4 + 0 - 1/40*l**5 + 1/480*l**6. Factor m(w).
(w - 2)*(w - 1)*(w + 2)**2/4
Let j be (1 + 0)*4/1 + -4. Suppose 4*q + j*y + 2*y = 24, -3*q + 40 = -4*y. Find z such that 10*z**4 - 4*z**5 - 29*z**4 + 15*z**4 + q*z**3 = 0.
-2, 0, 1
Let d(r) be the first derivative of -7*r**4 - 4/5*r**5 + 0*r + 119 - 10*r**2 - 44/3*r**3. Find t, given that d(t) = 0.
-5, -1, 0
Let a(z) be the first derivative of z**6/30 + 4*z**5/5 - 29*z**4/5 + 218*z**3/15 - 173*z**2/10 + 10*z + 9767. Factor a(s).
(s - 2)*(s - 1)**3*(s + 25)/5
Let t = 11480325/18161 + 1414/1397. Let h = -633 + t. Suppose -h*w**3 + 12/13*w - 16/13 + 6/13*w**2 = 0. What is w?
-2, 1, 4
Let p(x) be the first derivative of 0*x**3 - 1/30*x**6 + 0*x + 36 + 4/25*x**5 + 0*x**4 + 0*x**2. Determine c, given that p(c) = 0.
0, 4
Factor 2170*b + 323 - 680*b**2 + 166*b**3 + 7304*b**2 + 158*b**3 + 726*b - 3.
4*(b + 20)*(9*b + 2)**2
Let o(v) be the third d