 2*t**4 - t**3 - 8*t**h + t.
-2*t*(t - 1)**3
Let o be 8/6*9*(-1)/(-4). Factor -24*w**3 + o*w**5 - 3*w**3 - 8422*w**4 + 8413*w**4 - 15*w**2.
3*w**2*(w - 5)*(w + 1)**2
Let j = -150 + 94. Let d be (-26)/(-14) - 8/j. Factor -9*b - b**d - 2*b**2 + 0*b**2.
-3*b*(b + 3)
Let s(d) be the third derivative of -d**7/420 + 2*d**6/45 - 7*d**5/60 + 38*d**3/3 - 2*d**2 - 22*d. Let o(w) be the first derivative of s(w). Factor o(c).
-2*c*(c - 7)*(c - 1)
Let t(z) be the first derivative of -7/12*z**4 + 91 + 1/18*z**6 + z**2 + 1/3*z**5 + 0*z - 5/9*z**3. Suppose t(x) = 0. Calculate x.
-6, -1, 0, 1
Let d(f) be the first derivative of -1681*f**5/5 + 4715*f**4/2 - 6431*f**3 + 8510*f**2 - 5476*f - 2676. Suppose d(l) = 0. What is l?
1, 74/41
Let p(q) be the third derivative of q**7/105 - 7*q**6/60 + 11*q**5/30 - 5*q**4/12 + 285*q**2 + 3. Factor p(c).
2*c*(c - 5)*(c - 1)**2
Suppose 0 - 3/5*q**2 + 3/5*q = 0. Calculate q.
0, 1
Let s be (-10)/(-45) + (-94)/18*1. Let z be s*(102/119 + (-506)/525). Let -2/15*u**3 + z + 8/15*u - 2/15*u**2 = 0. What is u?
-2, -1, 2
Let z be (68 + 10)/13 - 1512/273. Factor 0*r**2 + 0 - 2/13*r**4 - 8/13*r + z*r**3.
-2*r*(r - 2)**2*(r + 1)/13
Let q(b) be the second derivative of 25*b**4/84 - 460*b**3/21 + 4232*b**2/7 - 2922*b. Factor q(t).
(5*t - 92)**2/7
Let q(k) be the second derivative of -k**6/6 - 71*k**5/4 + 245*k**4/4 + 355*k**3/6 - 365*k**2 - 5*k - 277. Let q(l) = 0. Calculate l.
-73, -1, 1, 2
Solve 2/11*z**5 + 0 - 46/11*z**3 - 6/11*z**4 - 6*z**2 - 28/11*z = 0.
-2, -1, 0, 7
Let c(b) be the third derivative of -b**6/200 + 487*b**5/50 - 2567*b**2 - 2*b. Determine k so that c(k) = 0.
0, 974
Let k be 70/2 - (-117824)/896. What is h in 21*h**3 + 507/4 + 3/4*h**4 + k*h**2 + 273*h = 0?
-13, -1
Let w(l) be the first derivative of 5*l**4/16 + 49*l**3/12 + 55*l**2/4 - 6*l - 1181. Factor w(f).
(f + 4)*(f + 6)*(5*f - 1)/4
Suppose 12*w - 19*w = -14. Suppose w*n - 240 + 166 = 0. Suppose 82*s**2 - 85*s**2 + 5*s + n*s = 0. Calculate s.
0, 14
Let a(m) be the third derivative of -m**6/300 - 401*m**5/75 - 15684*m**2. Determine i, given that a(i) = 0.
-802, 0
Let h = -458 + 472. Suppose -703*o = -710*o + h. Find u, given that 0*u + 4/9*u**4 - 4/9*u**o + 0 + 2/9*u**3 - 2/9*u**5 = 0.
-1, 0, 1, 2
Suppose 36*m - 20*m = 18*m. Let n(k) be the second derivative of 0*k**2 - 30*k + m*k**3 + 7/40*k**5 + 0 + 1/12*k**6 + 1/12*k**4. Factor n(l).
l**2*(l + 1)*(5*l + 2)/2
Let v(q) = 2*q**3 + 31*q**2 - 164*q - 451. Let a(x) = -5*x**3 - 63*x**2 + 329*x + 905. Let z(r) = 3*a(r) + 7*v(r). Factor z(t).
-(t - 17)*(t - 13)*(t + 2)
Let k be (-2)/19 + (-9784)/(-532) + (-87 - -69). Suppose k*d**3 - 3/7*d - 2/7 + 3/7*d**2 = 0. Calculate d.
-2, -1/2, 1
Let m = 93587 - 655108/7. Suppose -m*o**4 - 1/7*o**2 + 0 + 0*o + 2/7*o**3 = 0. What is o?
0, 1
Let z = 13675 + -27349/2. Let r(v) be the first derivative of z*v**4 - 22/3*v**3 + 33 - 50*v + 35*v**2. Solve r(p) = 0.
1, 5
Let t(h) be the first derivative of -26/7*h**2 - 1/21*h**3 - 67 - 676/7*h. Solve t(l) = 0 for l.
-26
Suppose -4*l - 140 = l. Let b = 30 + l. Factor -3*q**2 + 2*q + 3 - q**b + 3*q**2.
-(q - 3)*(q + 1)
Let d(u) = -u**3 - 26*u**2 + 38*u + 297. Let n be d(-27). Let l(q) be the third derivative of n*q**3 - 1/15*q**5 - 5/6*q**4 + 0*q + 26*q**2 + 0. Factor l(g).
-4*g*(g + 5)
Let q(w) be the first derivative of -5/2*w**2 + 5*w + 19 + 5/2*w**4 - 10/3*w**3 - 5/6*w**6 + w**5. Factor q(t).
-5*(t - 1)**3*(t + 1)**2
Let m(i) be the first derivative of 12 - 52/45*i**5 + 4/9*i + 17/9*i**4 - 32/27*i**3 - 1/9*i**2 + 7/27*i**6. Factor m(j).
2*(j - 1)**4*(7*j + 2)/9
Let v = 648937/5 + -129367. Let o = v + -420. Find x, given that o*x**2 - 2/5 - 2/5*x**3 + 2/5*x = 0.
-1, 1
Let m = 572 - 566. Let g be (36/(-24))/((-4)/m). Solve -g*w - 3/2*w**2 - 1 - 1/4*w**3 = 0 for w.
-4, -1
Let l(q) be the first derivative of 26*q - 11 + 2/3*q**4 + 3/5*q**5 + 0*q**3 + 2/15*q**6 + 0*q**2. Let k(a) be the first derivative of l(a). Factor k(h).
4*h**2*(h + 1)*(h + 2)
Suppose -j + 48 = 3*j. Let l = 316 - 308. Factor -5*u**3 - 12*u**2 + j*u + 3*u - 6 + 0 + l*u**3.
3*(u - 2)*(u - 1)**2
Let u(h) be the second derivative of 0*h**3 - 2*h + 10*h**4 + 0*h**2 + 35 - 1/5*h**5. Factor u(k).
-4*k**2*(k - 30)
Let v(a) be the second derivative of a**4/90 + 61*a**3/15 - 184*a**2/15 - 132*a - 2. Factor v(q).
2*(q - 1)*(q + 184)/15
Let c(p) be the third derivative of p**6/720 - p**5/30 - 227*p**3/6 + p**2 - 64. Let x(r) be the first derivative of c(r). Factor x(q).
q*(q - 8)/2
Let z = -26 - -32. Factor 28*q**2 - 8 - z - 24*q**3 + 18 - 8.
-4*(q - 1)*(2*q - 1)*(3*q + 1)
Let w(z) be the first derivative of -z**8/10080 - z**7/720 - z**6/216 - z**3 - 3*z + 2. Let l(d) be the third derivative of w(d). Find q, given that l(q) = 0.
-5, -2, 0
Determine b, given that 789*b**3 - 2410*b**2 + 795*b**2 - 739*b**3 + 480*b = 0.
0, 3/10, 32
Let z be (-11)/(4/(-4)) - (-2 - -3). Factor -45*b**3 - 80*b**5 + 66*b**4 + 5*b**2 + 22*b**4 - z*b**4 + 42*b**4.
-5*b**2*(b - 1)*(4*b - 1)**2
Let p(x) be the third derivative of -6*x - 4/5*x**5 + 0 + 8*x**4 + 1/40*x**6 + 0*x**3 + 4*x**2. Find u such that p(u) = 0.
0, 8
Let m(t) be the first derivative of t**3/12 - 279*t**2/8 + 767. Factor m(d).
d*(d - 279)/4
Let j = 460717/10 - 230356/5. Factor 58*f - 1682 - j*f**2.
-(f - 58)**2/2
Let -156*v**2 + 317*v**3 - 447*v + 314*v**3 + 315*v**3 - 947*v**3 + 139*v = 0. What is v?
-154, -2, 0
Factor 3/4*k**2 + 9/4*k**3 - 37/4*k + 6 + 1/4*k**4.
(k - 1)**2*(k + 3)*(k + 8)/4
Let 170723/11 - 1/11*v**4 - 80/11*v**3 - 174*v**2 - 6728/11*v = 0. What is v?
-29, 7
Let j(z) be the second derivative of 2 + 92/9*z**4 - 2/9*z**6 - 47/15*z**5 + 88/9*z**3 + 0*z**2 - 9*z. Solve j(f) = 0 for f.
-11, -2/5, 0, 2
Suppose 31155/4*v**3 - 805/4*v**4 + 101665/4*v**2 - 7790*v - 25215 + 5/4*v**5 = 0. Calculate v.
-3, -1, 1, 82
Let v(g) = 2*g**2 - g. Let d(t) = 65*t**2 + 20*t + 80. Suppose 0 = 9*i + 407 - 137. Let r(p) = i*v(p) + d(p). What is o in r(o) = 0?
-8, -2
Solve -5*i**2 - 5*i**2 - 380 + 4*i**2 + i**2 + 385*i = 0.
1, 76
Suppose -8/7*o + 0 + 2/7*o**3 + 0*o**2 = 0. Calculate o.
-2, 0, 2
Suppose -3*o = -5*j - 108, -10*o + 5*j = -5*o - 180. Solve 43*l + o - 756 - 21*l + 98*l - 5*l**2 = 0 for l.
12
Suppose 5*u - 4*x = 2920, -4*u + 9*x - 10*x = -2315. Factor u*o**2 + 1437*o**2 - 42*o**3 - 114*o**3 + 3*o**4 + 11*o**2.
3*o**2*(o - 26)**2
Let y = 160187/12 + -40046/3. Factor 0*j - 5*j**3 + 0 + 4*j**2 - y*j**5 + 2*j**4.
-j**2*(j - 4)*(j - 2)**2/4
Let n(x) be the first derivative of -2*x**3/9 - 1980*x**2 - 5880600*x - 11345. Determine l so that n(l) = 0.
-2970
Suppose -558 - 2032 = 51*p - 1346*p. Factor -93*o - 1/3*o**4 - 137/3*o**p - 7*o**3 - 54.
-(o + 1)*(o + 2)*(o + 9)**2/3
Let t(k) = -14*k**2 + 303*k - 9. Let c be t(13). Let p = c - 1561. Factor 0 - 9/7*b**p + 16/7*b**2 + 4/7*b.
-b*(b - 2)*(9*b + 2)/7
Let d(v) = v**2 + 3*v - 37. Let s = 625 + -620. Let i be d(s). Factor 3/2*n**2 + 0 + 0*n + 5/4*n**i + 1/4*n**4.
n**2*(n + 2)*(n + 3)/4
Suppose m = -3*h + 15, h + 4*m - 172 + 156 = 0. Let b(g) be the first derivative of 2/3*g**3 + 3 - 1/5*g**5 + 1/4*g**h + 0*g + 0*g**2. Solve b(a) = 0 for a.
-1, 0, 2
Let q = -14/10835 - -260138/75845. Suppose -8/7*t + 2/7*t**2 - q = 0. What is t?
-2, 6
Determine h, given that 12*h**2 + h**5 - 12*h**2 + h**4 + 136*h**3 - 138*h**3 = 0.
-2, 0, 1
Let f be -25 + (-380)/(-15) + (-10)/32. Let o(p) be the second derivative of -2*p - f*p**4 + 0 - 5/24*p**3 + 1/80*p**5 - 3/8*p**2. Factor o(k).
(k - 3)*(k + 1)**2/4
Suppose 0*g - 8 = -4*g. Suppose 62*j = 161 - 37. Factor -g*l**3 - 3*l**4 + 3*l**2 + 5*l**3 - j*l**2 + 5*l**4.
l**2*(l + 1)*(2*l + 1)
Let o(z) be the second derivative of z**6/135 + 37*z**5/90 + 131*z**4/18 + 935*z**3/27 + 578*z**2/9 + 1777*z. Find m, given that o(m) = 0.
-17, -2, -1
Factor -60 - 745*k + 1542*k + 5*k**2 - 2*k**2 - 740*k.
3*(k - 1)*(k + 20)
Suppose 0 = 65*i - 54*i - 165. Suppose -4*u + i*u - 33 = 0. Let 10/3*d - 2 - 2/3*d**u - 2/3*d**2 = 0. What is d?
-3, 1
Let l(i) be the first derivative of 9/2*i + 39/16*i**2 - 23/8*i**3 + 69 - 3/16*i**4. Find j such that l(j) = 0.
-12, -1/2, 1
Let v(n) be the second derivative of -1/30*n**4 - 3/100*n**5 + 0*n**6 + 0*n**2 + 0*n**3 + 11*n + 1/210*n**7 - 16. Factor v(u).
u**2*(u - 2)*(u + 1)**2/5
Let n(w) = -72*w**3 + 261*w**2 + 207*w + 42. Let v(j) = 17*j**3 - 65*