27889 - 12*v**2 - 11*v**2 - 8*v**2 = 0.
167
Let d(h) be the first derivative of 3*h**5/5 - 55*h**4/4 - 164*h**3/3 - 42*h**2 - 71. Determine l, given that d(l) = 0.
-2, -2/3, 0, 21
Let o(w) be the third derivative of 2*w**7/105 + 29*w**6/5 + 7393*w**5/15 - 2552*w**4 + 15488*w**3/3 + 55*w**2 - 9. Solve o(c) = 0.
-88, 1
Let a(n) be the first derivative of 5/2*n**4 - n**5 + 5*n**3 - 10*n**2 + 18 - 20*n. Factor a(v).
-5*(v - 2)**2*(v + 1)**2
Let r = 365 - 360. Let d be 27*(r - (-72)/(-15)) - 5. Factor d*n**2 + 0 - 6/5*n.
2*n*(n - 3)/5
Solve -744*n - 116*n**2 - 177*n**3 - 175*n**3 - n**4 - 154*n**3 + 5*n**4 + 562*n**3 + 1440 = 0.
-15, -4, 2, 3
Let l be (-17 - (-2465)/119) + -18*(-6)/(-63). Determine m so that 24*m**3 + 24*m + 39*m**l + 9/2*m**4 + 9/2 = 0.
-3, -1, -1/3
Let w(j) = -29*j**2 + 97*j - 128. Let p(c) = -20*c**2 + 65*c - 85. Suppose 0*q - 17*q - 85 = 0. Let f(y) = q*w(y) + 7*p(y). Determine s so that f(s) = 0.
3
Let j(f) = -2*f**2 - 10*f + 25. Let b be j(-6). Factor 43*r - b*r + 5*r**2 + 2*r**2 + 2*r**2 + 9.
3*(r + 3)*(3*r + 1)
Suppose -500/3*t + 145/3*t**2 + 5/3*t**3 - 640/3 = 0. What is t?
-32, -1, 4
Let n(g) = 5*g - 6. Let r(w) = -9*w + 11. Let o(z) = 11*n(z) + 6*r(z). Let u be o(4). Let 12*c**3 + 10*c**3 - 20*c**3 + 2*c**2 - 4*c**u = 0. What is c?
-1/2, 0, 1
Let b(r) = r**3 - r**2 - r - 8. Let a(q) = -5*q + 7. Let i be a(0). Let v(d) = i + 3 - 8. Let j(f) = 2*b(f) + 9*v(f). Find k such that j(k) = 0.
-1, 1
Let n = 273 + 1048. Factor 20*s**3 - n*s**5 + 165*s + 60*s**3 + 1316*s**5 - 190*s**2 - 50.
-5*(s - 2)*(s - 1)**3*(s + 5)
Factor 7395*l + 780*l**2 - 5984*l + 29009*l + 5*l**3.
5*l*(l + 78)**2
Let t(j) = -5*j**3 + j**2 - 2*j. Let c(a) = 63*a**3 + 1242*a**2 - 14664*a. Let y(r) = -c(r) - 18*t(r). Factor y(f).
3*f*(3*f - 70)**2
Let t(p) be the second derivative of 13*p**4/3 + 3722*p**3/3 + 572*p**2 - 79*p + 1. Factor t(q).
4*(q + 143)*(13*q + 2)
Let w(p) = -21*p**3 - 23*p**3 + p**4 - 2*p**2 + 13*p**2 + 34*p**3. Let d(t) = -t**4 + t**3 + t**2. Let g(a) = -2*d(a) + w(a). Factor g(l).
3*l**2*(l - 3)*(l - 1)
Determine x, given that -37/3*x**2 - 344/3*x + 1/3*x**3 - 240 = 0.
-4, 45
Let f(h) be the first derivative of h**5/15 - h**4 - 9*h**3 - 34*h**2/3 + 2048. Determine o, given that f(o) = 0.
-4, -1, 0, 17
Let q(w) be the first derivative of -1/6*w**4 + 36 + 0*w**2 - 30*w + 3/25*w**5 - 1/75*w**6 + 0*w**3. Let p(c) be the first derivative of q(c). Factor p(y).
-2*y**2*(y - 5)*(y - 1)/5
Factor -3*y**2 + 5504*y - 10518*y + 5358*y - y**2 - 340.
-4*(y - 85)*(y - 1)
Let g(f) be the first derivative of 3*f**5/10 - 123*f**4/8 - f**3/2 + 123*f**2/4 + 642. Suppose g(x) = 0. Calculate x.
-1, 0, 1, 41
Let r = -279 - -281. Suppose 21*b - 208 = -124. Factor 2/3*l**r - b*l + 10/3.
2*(l - 5)*(l - 1)/3
Suppose -11*p - 71 = -15*p - 5*x, p - 5*x = -51. Factor 40/3*s + 23/3*s**2 + p - 5/3*s**3.
-(s - 6)*(s + 1)*(5*s + 2)/3
Let t(g) = 312*g - 3740. Let y be t(12). Let q(h) be the first derivative of 3/8*h**2 + 1/2*h**3 + 0*h - 3/10*h**5 + 9 - 1/8*h**6 + 0*h**y. Factor q(f).
-3*f*(f - 1)*(f + 1)**3/4
Let q(s) be the first derivative of -s**5/15 + 4*s**4 - 575*s**3/9 - 8*s**2 + 192*s - 4114. What is w in q(w) = 0?
-1, 1, 24
Determine s so that 147*s**5 - 4667/3*s**3 + 0 + 502*s**2 + 1540*s**4 - 160/3*s = 0.
-80/7, 0, 2/7, 1/3
Let f(k) be the first derivative of -1/60*k**5 + 0*k**4 + 1/120*k**6 + 0*k**3 + 0*k + 9*k**2 - 4. Let d(m) be the second derivative of f(m). Factor d(i).
i**2*(i - 1)
Let g(b) be the third derivative of -b**7/210 + 31*b**6/40 + 316*b**2. Factor g(i).
-i**3*(i - 93)
Let p(s) be the second derivative of -s**5/10 - 19*s**4/6 - 76*s**3/3 - 84*s**2 + 2902*s. Factor p(i).
-2*(i + 2)*(i + 3)*(i + 14)
Let f(w) be the first derivative of 2*w**5/15 + 13*w**4/12 + 22*w**3/9 + 4*w**2/3 + 8628. Find b such that f(b) = 0.
-4, -2, -1/2, 0
Let s = -45 - -117. Let j be s/27*(-27)/(-12). Factor 0 - j - 7*q + 2*q**2 + 9*q + 2.
2*(q - 1)*(q + 2)
Let d be (13519/(-33))/((-69)/27 - -3). Let y = -921 - d. Let y*v**5 - 9/4*v**3 + 0 - 3/2*v**4 + 0*v + 0*v**2 = 0. Calculate v.
-1, 0, 3
Let b(w) be the first derivative of 14*w**5/15 + 53*w**4/2 + 262*w**3 + 2737*w**2/3 - 588*w - 663. Let b(u) = 0. What is u?
-9, -7, 2/7
Let y = -3198/5 + 12867/20. Let l(f) be the first derivative of -12/5*f**5 - 3*f**2 - 21 + 0*f + y*f**4 + 7*f**3. Factor l(t).
-3*t*(t - 2)*(t + 1)*(4*t - 1)
Let d(w) be the second derivative of -w**5/90 - 295*w**4/54 - 21608*w**3/27 + 21904*w**2/9 - 1752*w. Factor d(c).
-2*(c - 1)*(c + 148)**2/9
Let v(k) be the third derivative of k**8/504 + 4*k**7/315 + k**6/180 - 7*k**5/45 - 5*k**4/9 - 8*k**3/9 - 2*k**2 + 83*k - 2. Determine t so that v(t) = 0.
-2, -1, 2
Let z(m) be the first derivative of -m**3/9 + 76*m**2/3 - 151*m/3 - 13002. Solve z(w) = 0 for w.
1, 151
Let m = 129 - 127. Suppose -m*z**3 + 69*z + 46*z**2 + 20 - 7*z**4 + z**5 - 4*z + 5 = 0. Calculate z.
-1, 5
Let i(z) = -8*z + 340. Let w be i(36). Suppose -w*v = -42*v - 20. Factor 0 + 2/5*y**3 - 2*y**v + 8/5*y.
2*y*(y - 4)*(y - 1)/5
Suppose 0 = 4*n + 3*w - 31, 8*n - 12*n + w = -11. Factor 0 + 3/2*b**5 + 3*b**2 - 9/2*b**3 + 0*b**n + 0*b.
3*b**2*(b - 1)**2*(b + 2)/2
Let i(w) be the third derivative of 1/20*w**6 - 23/72*w**4 + 0 + 5/1008*w**8 + 0*w + 11/315*w**7 - 4/45*w**5 - 55*w**2 - 1/3*w**3. Solve i(f) = 0.
-3, -1, -2/5, 1
Determine u so that 2*u**4 - u**5 - 7*u**2 + 11*u**3 + 11*u**2 - 10*u**2 - 6*u**4 = 0.
-6, 0, 1
Let b(l) = -34*l + 34. Let k be b(1). Let m be k/3 + 1 - (-15 + 14). Determine o, given that 0 - 11/2*o + 1/2*o**m = 0.
0, 11
Factor 22/3*j**2 - 2/3*j**4 - 8/3*j**3 + 0 - 4*j.
-2*j*(j - 1)**2*(j + 6)/3
Let l = 50 - 44. Suppose -2*v - 3*a + l = v, -2*a = -4*v + 8. Factor -18*r**2 - 35 + 20*r - 20*r**3 - 72*r**2 + 150*r - 25*r**v.
-5*(r - 1)*(r + 7)*(4*r - 1)
Determine a so that 154/3*a + 0 - 26/3*a**2 = 0.
0, 77/13
Let b(w) = -2*w**2 + 97*w + 781. Let p be b(-7). Let v(t) be the third derivative of 2*t**3 - 1/2*t**p + 0 - 25*t**2 + 0*t + 1/20*t**5. Factor v(i).
3*(i - 2)**2
Let s be ((-7)/(-4))/((5 + 1)/((-12)/(-21)) + -7). Find g such that -s*g**2 + 2*g + 5/2 = 0.
-1, 5
Let q(k) be the second derivative of -k**6/105 - 11*k**5/70 - 13*k**4/14 - 7*k**3/3 - 20*k**2/7 - 40*k + 12. Let q(x) = 0. Calculate x.
-5, -4, -1
Factor 239121*j + 489*j**2 + 1/3*j**3 + 38976723.
(j + 489)**3/3
Let b(k) be the second derivative of 161/3*k**3 + 49*k**2 - 3*k + 16 + 47/5*k**5 + 17/15*k**6 + 95/3*k**4 + 1/21*k**7. Let b(a) = 0. What is a?
-7, -1
Let v = -4237/408240 - -8/729. Let c(a) be the third derivative of 0 + 0*a**6 + 1/480*a**5 + 6*a**2 + 0*a**3 - v*a**7 + 0*a**4 + 0*a. Factor c(u).
-u**2*(u - 1)*(u + 1)/8
Factor 68*i - 1599/2 - 1/2*i**2.
-(i - 123)*(i - 13)/2
Factor 249/5*r + 3/5*r**2 + 0.
3*r*(r + 83)/5
Suppose 522*f + 253 = 533*f. Suppose 40 = -3*g + f*g. Suppose 0 + 3/5*i**g - 3/5*i**3 + 6/5*i = 0. What is i?
-1, 0, 2
Let m(s) be the first derivative of -1/2*s**2 + 3*s**3 + 5 + 1/4*s**4 - s. Let j(n) = -10*n**2. Let o(v) = 4*j(v) + 5*m(v). Factor o(h).
5*(h - 1)*(h + 1)**2
Let u(s) = 211*s**2 + 164*s + 24. Suppose 0 = 5*p - 0*p + 10. Let t(a) = -53*a**2 - 41*a - 6. Let w(c) = p*u(c) - 9*t(c). Find l, given that w(l) = 0.
-6/11, -1/5
Let c be (3 - (-25 + 1)) + 5. Suppose 20*w**3 - 3*w**3 - 5*w**3 - 8*w**3 + 48 - 4*w**2 - c*w = 0. What is w?
-3, 2
Let d(l) be the first derivative of -8/7*l**2 + 42 + 20/7*l - 4/21*l**3. What is p in d(p) = 0?
-5, 1
Suppose 3*y + 19 = 58, -5*p + 4*y - 13 = 3*y. Let 8/5*l**3 - 6/5*l**2 - 2/5*l**4 + p + 0*l = 0. Calculate l.
0, 1, 3
Determine q, given that -456*q - 159*q - 200 + 1788*q**2 - 3874*q**2 + 5*q**5 - 230*q**3 + 1446*q**2 = 0.
-5, -1, 8
Let k(b) = 38*b**2 - 55*b + 11. Let q(p) = -110*p**2 + 158*p - 31. Let m(a) = -17*k(a) - 6*q(a). Find d such that m(d) = 0.
-1/14, 1
Solve 15*l**4 + 343*l**2 + 5*l**5 + 366*l**2 - 245*l**3 + 534*l**2 - 1018*l**2 = 0.
-9, 0, 1, 5
Suppose 0 = 4*f + f - 2*b - 2, -10 = 3*f - 4*b. Suppose 610 + 9*s**3 + 585*s - 6*s**3 + 65 - 87*s**f = 0. What is s?
-1, 15
Factor -36*k**2 - 1328/9 + 440/3*k - 2/9*k**3.
-2*(k - 2)**2*(k + 166)/9
Let f(w) be the first derivative of w**3/3 + w**2/2 - w + 66. Let k(l) = -l**3 + 7*l - 3. Let s(d) = 6*f(d) - 2*k(d). Factor s(m).
2*m*(m - 1)*(m + 4)
Factor 72/5 + 7/5*n**2 - 54/5*n.
(n - 6)*(7*n - 12)