t q(g) = 0.
-3, 0, 1
Let m(r) be the first derivative of r**5/25 + 3*r**4/20 - 6*r**3/5 + 2*r**2/5 + 24*r/5 - 458. Factor m(z).
(z - 2)**2*(z + 1)*(z + 6)/5
Let t(s) be the third derivative of 1/120*s**6 + 0*s**3 + 5*s**2 + 0 + 1/12*s**4 + 0*s - 1/20*s**5. Find h, given that t(h) = 0.
0, 1, 2
Suppose 4*s + 3*r + 28 = 2*s, -3*s - 4*r = 40. Let k be s/(-20) + 0 + 0. Factor -k*m**4 + 0*m**3 + 0 + 0*m + 2/5*m**2.
-2*m**2*(m - 1)*(m + 1)/5
Suppose -5*m - w + 20 = -6*w, -4*w = -2*m + 10. Suppose 7 - 1 - m*y - y**2 - 2*y**2 = 0. What is y?
-2, 1
Let g(p) = 11*p**2 - 112*p + 91. Let k(s) = -8*s**2 + 112*s - 96. Let l(h) = -4*g(h) - 5*k(h). Find w such that l(w) = 0.
-29, 1
Suppose -4*r**2 - 26*r - 6*r**2 + 9*r**2 + 20*r = 0. Calculate r.
-6, 0
Let w(x) be the first derivative of -x**7/490 - x**6/280 + x**5/140 + x**4/56 - 7*x**2 - 10. Let m(t) be the second derivative of w(t). Factor m(h).
-3*h*(h - 1)*(h + 1)**2/7
Let a(y) be the first derivative of 5*y**2 + 40*y - 26. Let h be a(-4). Factor 3/4*p**4 + h*p - 3/4*p**2 - 3/4*p**5 + 0 + 3/4*p**3.
-3*p**2*(p - 1)**2*(p + 1)/4
Let -3128/11*i**3 + 8262/11*i + 7668/11*i**2 - 2916/11 + 368/11*i**4 - 14/11*i**5 = 0. What is i?
-1, 2/7, 9
Find q, given that -4/13*q**2 + 0 + 0*q - 18/13*q**4 - 22/13*q**3 = 0.
-1, -2/9, 0
Let h(i) be the second derivative of -i**6/720 + i**5/60 - i**4/16 + 7*i**3/6 + 13*i. Let g(v) be the second derivative of h(v). Factor g(b).
-(b - 3)*(b - 1)/2
Determine j, given that -25/4*j**4 + 5*j + 1 + 21/4*j**2 - 5*j**3 = 0.
-1, -2/5, 1
Factor -6*s + 0 - 1/4*s**2.
-s*(s + 24)/4
Suppose 6 = 5*r - 4. Factor -107 + 105 - 7*b**2 - r*b**3 - 6*b + b**2.
-2*(b + 1)**3
Let u(z) be the first derivative of z**3/3 + 5*z**2/2 + 4*z - 101. Factor u(b).
(b + 1)*(b + 4)
Let c(b) be the third derivative of 5/2*b**4 - 1/2*b**6 + 0*b - 35/12*b**5 + 0 - 1/42*b**7 + 30*b**3 + 31*b**2. Factor c(x).
-5*(x - 1)*(x + 1)*(x + 6)**2
Let s(h) be the first derivative of 147*h**5/5 + 462*h**4 + 2104*h**3 + 1584*h**2 + 432*h - 30. Let s(f) = 0. Calculate f.
-6, -2/7
Let k(q) be the second derivative of q**4/4 - 13*q**3/2 - 21*q**2 - q - 14. Find h, given that k(h) = 0.
-1, 14
Let l(d) be the third derivative of 1/66*d**5 + 0 + 1/330*d**6 + 16*d**2 + 0*d**3 + 0*d - 1/44*d**4. Factor l(i).
2*i*(i + 3)*(2*i - 1)/11
Let h(t) be the first derivative of -2/15*t**5 + 2/3*t**4 + 10 + 0*t + 2/3*t**2 - 10/9*t**3. Let h(l) = 0. What is l?
0, 1, 2
Let g(f) = -2*f**5 + f**2 - f. Let y(q) = 156*q**5 - 3960*q**4 + 1574*q**3 + 3771*q**2 - 1739*q + 192. Let d(o) = 3*g(o) - y(o). Let d(h) = 0. Calculate h.
-1, 2/9, 1, 24
Let l = 41 + -36. Suppose l*u = 3*u + 10. Factor -10*o**2 + 29*o**u + 11*o**5 + 45*o**3 - 98*o**4 + 38*o**4 - 15*o**5.
5*o**2*(o - 1)**2*(5*o - 2)
Let t(a) be the second derivative of 1/3*a**4 + 0*a**2 - 16*a + 7/9*a**3 - 1/30*a**5 + 0. Determine q, given that t(q) = 0.
-1, 0, 7
Let f = 3978/7 - 7949/14. Factor -f*z + 1/6*z**2 + 1/3.
(z - 2)*(z - 1)/6
Let y(m) = m. Let s(i) = 9*i**2 - 13*i + 7. Let j(n) = -s(n) + 2*y(n). Let h(p) = -p**2 + p - 1. Let k(f) = -14*h(f) + 2*j(f). Suppose k(v) = 0. What is v?
0, 4
Suppose -737*n = -757*n. Solve 6/5*r - 21/5*r**2 + n = 0.
0, 2/7
Let b(h) be the first derivative of 5*h**3/6 - 315*h**2/2 + 19845*h/2 + 263. Find r such that b(r) = 0.
63
Suppose -29*a = -17 - 70. Find n, given that 0*n - 1/3*n**2 - 1/9*n**a + 0 = 0.
-3, 0
Let t be (-1 - (-219)/6) + (-1)/(-2). Suppose 7*a = -5*a + t. Determine k, given that 2/13*k**a + 4/13*k**2 - 2/13*k - 4/13 = 0.
-2, -1, 1
Let o = -1560 + 10921/7. Solve 2/7*q - 1/7*q**2 - o = 0 for q.
1
Let l(n) be the second derivative of n**5/4 - 5*n**3/6 + 5*n - 16. Suppose l(h) = 0. What is h?
-1, 0, 1
Let l(k) = -11*k - 253. Let p be l(-23). Let o(d) be the first derivative of -4 + 0*d**3 + 0*d + 1/6*d**4 + p*d**2. Find m such that o(m) = 0.
0
Factor 15/4*x + 3/4*x**2 + 9/2.
3*(x + 2)*(x + 3)/4
Let i(n) be the second derivative of 5*n**4/12 - 95*n**3/6 + 6*n + 7. Solve i(m) = 0 for m.
0, 19
Let p(c) be the first derivative of -c**4/2 - 2*c**3 - 28. Factor p(a).
-2*a**2*(a + 3)
Let u = -14523 + 14525. Factor 8/9*r**3 - 2*r**u + 0 + 4/9*r.
2*r*(r - 2)*(4*r - 1)/9
Let i = -101387/84 + 1207. Let s(v) be the second derivative of 1/15*v**6 - 1/12*v**4 - 1/2*v**2 + 0 + 5/12*v**3 + 8*v - 1/10*v**5 - i*v**7. Factor s(c).
-(c - 2)*(c - 1)**3*(c + 1)/2
Solve -43*w**2 - 77716*w**4 - 252*w - 18*w**3 - 196 + 77715*w**4 - 66*w**2 = 0.
-7, -2
Factor 8/7*w**2 + 2/7*w**3 + 0 + 0*w.
2*w**2*(w + 4)/7
Let d(t) be the third derivative of -t**5/60 - t**4/3 + 65*t**3/6 + t**2 + 67*t. Factor d(v).
-(v - 5)*(v + 13)
Let -456*d + 10*d**2 + d**4 - 2*d**2 + 5*d**3 + 460*d = 0. What is d?
-2, -1, 0
Suppose 0 = -31*v + 156*v - 455 - 1045. Suppose -56/3*h - v*h**2 + 10/3*h**4 - 16/3 + 14/3*h**3 = 0. Calculate h.
-2, -1, -2/5, 2
Let w be 8 - -14*(-42)/98. Factor 0*n - 1/5*n**4 + 0 + 4/5*n**3 - 3/5*n**w.
-n**2*(n - 3)*(n - 1)/5
Suppose 3*o = l - 51, -3*l - 219 = -8*l + 3*o. Factor -l*a**3 - 2*a**4 - 2*a**5 - 4*a**4 + 50*a**3.
-2*a**3*(a - 1)*(a + 4)
Let q = 9251/5 - 9224/5. Determine i, given that 12/5*i**3 - q*i - 6/5 - 9/5*i**2 = 0.
-1, -1/4, 2
Let r(t) be the first derivative of -t**7/140 - 13*t**6/180 - 4*t**5/15 - t**4/3 - 2*t**3/3 + 11. Let s(l) be the third derivative of r(l). Factor s(h).
-2*(h + 2)**2*(3*h + 1)
Let -9/4*j**3 + 9/4*j**4 + 3/4*j + 0 - 1/2*j**5 - 1/4*j**2 = 0. What is j?
-1/2, 0, 1, 3
Let n(k) = -k**3 - 3*k**2 + 4*k + 8. Let h be n(-3). Let d be (h/63)/(2/(-7)). Factor 2/9*a**3 + 10/9*a**2 + 0 - d*a**4 + 2/3*a.
-2*a*(a - 3)*(a + 1)**2/9
Let w(t) be the second derivative of t**5/4 + 10*t**4/3 + 35*t**3/2 + 45*t**2 - 139*t. Factor w(m).
5*(m + 2)*(m + 3)**2
Let q(s) = s**2 - 7*s - 27. Let r be q(10). Let o(g) be the second derivative of 1/42*g**4 + 1/7*g**r + 0*g**2 + g + 0. Solve o(m) = 0 for m.
-3, 0
Let o(h) be the first derivative of h**4/20 + h**3/15 - 2*h**2/5 - 4*h/5 - 51. Suppose o(s) = 0. What is s?
-2, -1, 2
Let v = 7/3616 - -65011/39776. Factor 16/11 + v*t**2 - 4*t.
2*(t - 2)*(9*t - 4)/11
Let i be (-8)/(0 - 4) - 4/8*0. Determine o so that -1/2*o**i - 1/4*o**3 + 1/2 + 1/4*o = 0.
-2, -1, 1
Let m(n) be the second derivative of -n**6/6 - 11*n**5/2 + 265*n**4/4 - 210*n**3 + 636*n. Factor m(v).
-5*v*(v - 3)**2*(v + 28)
Let y(c) be the third derivative of c**5/15 + 20*c**4/3 + 800*c**3/3 - 600*c**2. Find k such that y(k) = 0.
-20
Suppose 0 = -2*x - 3*p - 7 + 4, -x - p = 0. Let r be x - (228/30 - 5). Factor 0*c**2 + 1/5*c**4 + 2/5*c**3 - r*c - 1/5.
(c - 1)*(c + 1)**3/5
Let r(n) = -n**3 + 5*n**2 + 2*n - 5. Let i be r(5). Suppose 8 + 0*o + 4*o**2 + i*o + 7*o = 0. Calculate o.
-2, -1
Let w be (2/(-6))/(10/(-540)). Let p = w - 11. Factor 1 + l**2 - 3*l**2 - 8*l - p - 2.
-2*(l + 2)**2
Suppose -852*u - 27 = -861*u. Factor 0 - 1/2*d - 1/4*d**2 + 3/4*d**4 + d**u.
d*(d + 1)**2*(3*d - 2)/4
Find t such that 0*t - 1/2*t**4 + 0 + 5/2*t**3 - 2*t**2 = 0.
0, 1, 4
Let i be (0 + (-16)/(-18))/(((-18090)/(-81))/67). Factor 2/15*t**2 - i*t - 2/5.
2*(t - 3)*(t + 1)/15
Let u = 39 - 29. Find a, given that -5*a**5 - 23 + 13 + 10*a**3 + 15 + 5*a**4 - u*a**2 - 5*a = 0.
-1, 1
Let q(s) be the first derivative of 4*s**5/5 - s**4 - 44*s**3/3 + 18*s**2 + 72*s - 237. Suppose q(o) = 0. What is o?
-3, -1, 2, 3
Let z(q) = -q**5 - q**4. Suppose -8*s = -4*s + 72. Let d(v) = 8*v**5 + 12*v**4 - v**3 - 3*v**2 + 2*v. Let n(t) = s*z(t) - 2*d(t). Solve n(l) = 0 for l.
-1, 0, 1, 2
Let o(i) be the second derivative of i**4/8 + 5*i**3/4 - 21*i**2/2 + 76*i. Let o(d) = 0. What is d?
-7, 2
Let i = -2786 + 142091/51. Let w = 173/204 - i. What is c in 0*c + w*c**2 + 0 = 0?
0
Let p(w) be the third derivative of w**5/270 - 31*w**4/54 + 527*w**2. Factor p(f).
2*f*(f - 62)/9
Let x = -54 + 51. Let g be x/((-6)/1)*6. Factor -1/2*f**g + 1/4*f**4 + 0*f + 1/4*f**2 + 0.
f**2*(f - 1)**2/4
Suppose -3*i - 22 = -28. Let m(g) be the first derivative of 5/2*g**i + 2*g + 12 - g**3. Determine d so that m(d) = 0.
-1/3, 2
Let o(z) be the first derivative of -1/2*z - 1/18*z**3 - 4 + 1/3*z**2. Suppose o(a) = 0. Calculate a.
1, 3
Suppose 221 = 11*y - 43. Let i be y/20*(-10)/(-8). Factor 0 - i*v + 3/2*v**3 + 0*v**2.
3*v*(v - 1)*(v + 1)/2
Factor -4/7*f**2 - 2/7*f**3 + 0 + 0*f.
-2*f**2*(f + 2)/7
Let x be ((-18)/30)/((-5)/((-150)/(-9)))