36*w**2 - 48*w + 26*w**3 + 4*w**s - 2*w**3 - 16.
4*(w - 1)*(w + 2)*(7*w + 2)
Let i(d) be the third derivative of -3*d**8/448 + 13*d**7/280 + 13*d**6/96 - 83*d**5/48 + 3*d**4/2 + 24*d**3 - 254*d**2 - 1. Let i(a) = 0. What is a?
-3, -1, 8/3, 3
Let f be ((-1)/(9/(-15)))/(170/15 - 11). Let q(w) be the third derivative of 2/65*w**f - 7*w**2 + 0 + 1/156*w**4 + 1/156*w**6 - 2/13*w**3 + 0*w. Factor q(r).
2*(r + 1)*(r + 2)*(5*r - 3)/13
Let w(g) be the second derivative of g**6/60 + g**5/3 - 23*g**4/12 + 4*g**3 + 34*g**2 - 11*g - 3. Let m(t) be the first derivative of w(t). Factor m(k).
2*(k - 1)**2*(k + 12)
Let o = 259039/104 + -19915/8. Factor -10/13 + o*g - 2/13*g**3 - 6/13*g**2.
-2*(g - 1)**2*(g + 5)/13
Let v(g) be the first derivative of g**5/15 + 19*g**4/6 - g**3/3 - 58*g**2/3 - 76*g/3 + 6543. Suppose v(f) = 0. Calculate f.
-38, -1, 2
Let a(j) be the first derivative of -1/3*j**2 - 258 + 2*j - 8/9*j**3. Factor a(k).
-2*(k + 1)*(4*k - 3)/3
Let i be 17/(-816) + (-20844)/(-5184). Determine v, given that 0 - 6*v**3 - 1/3*v**i - 10*v - 47/3*v**2 = 0.
-15, -2, -1, 0
Let n(m) be the second derivative of 8/13*m**2 + 1 + 7/39*m**3 - 5*m - 1/78*m**4. Factor n(q).
-2*(q - 8)*(q + 1)/13
Let f(c) = -2*c - 14. Let z(r) = 5*r**3 + 125*r**2 - 1540*r + 1820. Let k(o) = -40*f(o) + z(o). Determine i so that k(i) = 0.
-34, 2, 7
Suppose 0 = 60*u + 895 - 955. Let j(b) be the first derivative of -32/3*b + u + 48*b**4 - 368/9*b**3 - 128/3*b**2 - 54/5*b**5. Factor j(k).
-2*(k - 2)**2*(9*k + 2)**2/3
Let s(n) be the second derivative of n**5/40 - 29*n**4/24 + 55*n**3/12 - 27*n**2/4 - 2285*n. What is w in s(w) = 0?
1, 27
Let 1/5*o**3 + 38/5*o + 56/5 - 17/5*o**2 = 0. What is o?
-1, 4, 14
Let t(s) be the second derivative of s**5/210 - s**4/28 + 13*s**2/2 - 32*s. Let a(r) be the first derivative of t(r). Factor a(y).
2*y*(y - 3)/7
Let u be 334/24 - ((-448)/(-24) - 19). Let q(l) be the first derivative of -24*l**2 - 1/2*l**6 - 12*l - 25*l**3 - 21/5*l**5 + 16 - u*l**4. Factor q(p).
-3*(p + 1)**3*(p + 2)**2
Suppose -2*g = 3*v + 2, -g - 1 = 2*v - 0*v. Suppose 24*o - 22*o - 6 = v. What is q in -q**2 + 0*q**2 + 3*q + 4*q**2 + 16 - o*q**3 - 19 = 0?
-1, 1
Solve -377*t + 1224 - 95*t - 3*t**2 - 749*t = 0 for t.
-408, 1
Let c(o) = 9*o**3 + 151*o**2 + o + 599. Let q be c(-17). Factor -11/7*n**q - 24/7*n**3 - 2/7*n**5 - 2*n - 26/7*n**2 - 3/7.
-(n + 1)**4*(2*n + 3)/7
Let i(m) = 393*m**4 + 3108*m**3 + 870*m**2 - 57*m - 171. Let s(g) = 14*g**4 + 111*g**3 + 31*g**2 - 2*g - 6. Let j(y) = -2*i(y) + 57*s(y). Factor j(t).
3*t**2*(t + 9)*(4*t + 1)
Let t = 39 - 36. Let y(g) = 3*g**4 - 6*g**3 - 39*g**2 + 36*g + 105. Let v(d) = 6*d**4 - 12*d**3 - 76*d**2 + 72*d + 211. Let w(p) = t*v(p) - 5*y(p). Factor w(a).
3*(a - 3)**2*(a + 2)**2
Let x(p) be the third derivative of -5*p**3 + 0*p + 0 - 108*p**2 + 35/24*p**4 - 1/12*p**5. Factor x(o).
-5*(o - 6)*(o - 1)
Let v = 109 + -104. Suppose 133 = 3*h - 6*u + u, 5*h - 225 = v*u. Suppose 2*k**2 + 2*k**4 - 46*k + 4*k**3 + h*k = 0. Calculate k.
-1, 0
Let t(g) = -2*g**5 + g**3 - 3*g**2 + g + 1. Let y(c) = 19*c**5 - 31*c**4 + 44*c**3 + 32*c**2 - 71*c + 5. Let a(z) = 21*t(z) + 3*y(z). Let a(q) = 0. Calculate q.
-1, 1/5, 2, 3
Let j(x) = 19*x**2 - 76*x + 4. Let v(k) = -101*k - 400. Let f be v(-4). Let m be j(f). Solve 76/17*q**3 + 0 - 4/17*q - 6/17*q**2 + 144/17*q**m = 0 for q.
-1/2, -1/4, 0, 2/9
Factor -2570*z**2 - 88*z**3 - 2217 + 6256 + 5*z**4 + 5060*z + 4810 - 1177*z**3 + 1351.
5*(z - 255)*(z - 2)*(z + 2)**2
Let u be ((-4)/6 + (-5)/6)/(-93 + 48). Let o(m) be the second derivative of 0*m**2 - u*m**4 + 0*m**3 - 6*m + 0. Solve o(v) = 0.
0
Suppose 0 = 228*o - 229*o + 2. Suppose 54 + 75 - 101 - o*b - 4*b**2 + 26*b = 0. What is b?
-1, 7
Let u(r) be the first derivative of 12 + 60*r + 7*r**3 + 42*r**2 - 3/4*r**4. Factor u(k).
-3*(k - 10)*(k + 1)*(k + 2)
Let r(p) be the third derivative of -p**6/30 + 26*p**5/15 + 588*p**2. Determine w so that r(w) = 0.
0, 26
Determine l so that -106*l**2 - 295*l**3 + 149*l**3 + 596*l + 150*l**3 - 198*l**2 - 296 = 0.
1, 74
Let h(a) be the second derivative of -5/18*a**4 - 2/15*a**6 + 1/126*a**7 + 6 + 0*a**2 - 3*a + 7/20*a**5 + 0*a**3. Factor h(u).
u**2*(u - 10)*(u - 1)**2/3
Let a(t) be the third derivative of 1/8*t**6 + 159*t**2 + 0*t + 0 - 5/336*t**8 - 5/6*t**5 + 0*t**3 + 2/21*t**7 - 5/3*t**4. Suppose a(i) = 0. Calculate i.
-1, 0, 2, 4
Suppose 92 = 612*z - 566*z. Let l(b) = b**2 + 2*b. Let m be l(0). Let -4/7*a**4 + m*a - 8/7*a**3 + 0 + 0*a**z = 0. Calculate a.
-2, 0
Let s = -1154217/7 + 164893. Suppose -6/7*f**3 - s*f**2 - 16/7 - 44/7*f = 0. Calculate f.
-4, -1, -2/3
Let l(q) be the third derivative of -19/150*q**5 - 2*q**2 + 0 + 10*q + q**3 - 1/120*q**6 - 59/120*q**4. What is s in l(s) = 0?
-5, -3, 2/5
Let 0 + 1/7*o**5 + 23/7*o**2 - 23/7*o**4 - 51/7*o**3 + 50/7*o = 0. What is o?
-2, -1, 0, 1, 25
Let m = -594943 + 594945. Factor 21/2*q**m - 18 + 51/2*q.
3*(q + 3)*(7*q - 4)/2
Let d(j) be the third derivative of 1/15*j**3 + 1/525*j**7 + 0*j + 0*j**4 + 0*j**6 - 1/75*j**5 + 0 - 157*j**2. Let d(g) = 0. Calculate g.
-1, 1
Let o(j) be the first derivative of -1/3*j**6 - 22/15*j**5 + 8/9*j**3 - 4/3*j**4 + 0*j + 0*j**2 - 72. Factor o(r).
-2*r**2*(r + 2)**2*(3*r - 1)/3
Let j(f) = -2*f**3 - 29*f**2 - 49*f + 134. Let n be j(-12). Factor 5/4*t**n + 1/2*t + 0.
t*(5*t + 2)/4
Let g be ((-8)/6)/(8/(-2412)). Let n = g + -400. Let 0*p**3 + 0 - 1/4*p**4 + 1/4*p**n + 0*p = 0. Calculate p.
-1, 0, 1
Factor -2/7*s**3 - 714*s - 686 - 198/7*s**2.
-2*(s + 1)*(s + 49)**2/7
Suppose 9*z + 20 = 19*z. Suppose -44*u - 27*u**z + 60*u**2 - 29*u**2 - 48 = 0. Calculate u.
-1, 12
Let i(m) be the second derivative of m**6/150 + m**5/100 - 17*m**4/60 + m**3/2 - m + 228. Let i(y) = 0. Calculate y.
-5, 0, 1, 3
Let o(g) be the second derivative of g**6/20 - g**5/20 - 3*g**4/8 + g**3 - g**2 - 197*g - 2. Factor o(b).
(b - 1)**2*(b + 2)*(3*b - 2)/2
Let a(w) be the second derivative of 0*w**2 + 1/7*w**4 + 0 - 55*w - 3/28*w**5 + 1/70*w**6 + 0*w**3. Factor a(b).
3*b**2*(b - 4)*(b - 1)/7
Find v, given that -2/13*v**4 + 34/13*v**3 + 40/13 + 118/13*v + 114/13*v**2 = 0.
-1, 20
Let l(a) be the first derivative of -a**4/20 + 118*a**3/15 - 741*a**2/2 + 12996*a/5 - 650. Factor l(s).
-(s - 57)**2*(s - 4)/5
Let s(o) be the second derivative of -o**5/5 - 11*o**4/3 - 10*o**3 + 54*o**2 + 131*o - 5. Find i, given that s(i) = 0.
-9, -3, 1
Let t(v) be the third derivative of 80*v**2 + 0*v - 3/40*v**6 - 3/10*v**5 + 0 + 0*v**4 - 1/210*v**7 + 0*v**3. Determine w so that t(w) = 0.
-6, -3, 0
Let m(o) be the second derivative of -o**4/42 + 1520*o**3/21 - 577600*o**2/7 - 4735*o. Factor m(u).
-2*(u - 760)**2/7
Let p = -6872/3 - -34372/15. Suppose 6 = 3*q - 6. Factor 3/5*b**2 + 1/5*b**q + 4/5*b**3 - 4/5 - p*b.
(b - 1)*(b + 1)*(b + 2)**2/5
Let u(h) be the first derivative of h**4/14 + 8*h**3/7 - 13*h**2/7 - 535. What is t in u(t) = 0?
-13, 0, 1
Solve 5*w**4 + 720 - 481*w + 161*w - 1022401*w**2 + 1022201*w**2 + 80*w**3 = 0 for w.
-18, -2, 2
Let i be (2962/1484 + -2)*(-35321)/(-57). Let l = -2/371 - i. Factor -l*b**3 + 5*b**2 - 5/2*b**4 + 0*b + 0.
-5*b**2*(b - 1)*(b + 2)/2
Let i = 14 - 12. Factor 6*g**3 + 29*g**3 - g**2 + g**2 + 0*g**2 - 5*g**i.
5*g**2*(7*g - 1)
Factor -44/7*n**2 - 2662/7 + 1/7*n**3 + 605/7*n.
(n - 22)*(n - 11)**2/7
Let t(d) be the second derivative of -1/9*d**4 - 1/5*d**5 + 0*d**2 - 54*d - 2/15*d**6 + 0*d**3 + 1 - 2/63*d**7. Solve t(q) = 0 for q.
-1, 0
Let g(l) be the third derivative of l**8/96 - 13*l**7/84 + 19*l**6/20 - 46*l**5/15 + 16*l**4/3 - 4*l**3 - 7*l**2 - 141*l. Suppose g(x) = 0. What is x?
2/7, 2, 3
Suppose -13*p + 79 = 14. Let y(k) = -k**2 + 9*k - 20. Let o be y(p). Find c such that -4/3*c**2 + o*c + 4/3 = 0.
-1, 1
Find k, given that 17*k**2 - 139 - 148 - 13*k**2 + 104*k + 63 = 0.
-28, 2
Let h(q) be the first derivative of 1/2*q**4 + 189 - 20/3*q**3 - 39*q**2 + 0*q. Solve h(k) = 0 for k.
-3, 0, 13
Let y(l) be the third derivative of -l**5/30 + 193*l**4/12 - 64*l**3 - 1763*l**2 - 2*l. Factor y(k).
-2*(k - 192)*(k - 1)
Let r(m) be the third derivative of -35*m**2 + 0 - 8/5*m**3 - 49/300*m**6 - m + 41/15*m**4 - 133/75*m**5. Factor r(p).
-2*(p + 6)*(7*p - 2)**2/5
Let l(p) = p**2 + 10*p - 7. Let w be l(-11). Suppose w*r = -3*o, -2*r + 0*o + 10 = -o. Factor 6*k**2 - k**3 + 129*k - 132*k 