3*(g + 1)/8
Determine f, given that 39/7*f**2 + 30/7 - 201/7*f = 0.
2/13, 5
Let d = 1229 - 1225. Let b(l) be the first derivative of -3*l**3 + 8 + 7/2*l**2 - 1/5*l**5 - 2*l + 5/4*l**d. Suppose b(a) = 0. What is a?
1, 2
Factor -2/7*z**3 - 24/7*z**2 + 1566/7*z - 220.
-2*(z - 22)*(z - 1)*(z + 35)/7
Let s(w) = -8*w + 7. Let v be s(-1). Factor 17*k**3 - 37*k**3 + 5*k**2 + v*k**3 - 16*k**4 + 11*k**4 + 5*k**5.
5*k**2*(k - 1)**2*(k + 1)
Let b = -10076 - -10079. Let p(d) be the first derivative of -9 + 16/7*d + 9/7*d**2 + 2/21*d**b. Factor p(l).
2*(l + 1)*(l + 8)/7
Let d(s) = s**3 + 3*s**2 - 6*s - 20. Let u(a) = -a**2 - a. Let g(z) = -z**2 - 10*z + 58. Let r be g(-14). Let f(k) = r*d(k) - 4*u(k). Factor f(p).
2*(p - 2)*(p + 2)*(p + 5)
Let q(y) be the second derivative of -1/72*y**4 - 32*y + 1/4*y**2 + 0 + 1/18*y**3. Factor q(l).
-(l - 3)*(l + 1)/6
Let n(y) be the third derivative of 0 + 3/14*y**4 - 1/140*y**5 + 0*y - 3*y**2 - 27/14*y**3. Factor n(h).
-3*(h - 9)*(h - 3)/7
Let p(m) be the second derivative of -2*m**6/15 + 2*m**5/5 + 4*m**4/3 - 4*m**3/3 - 6*m**2 + 18*m - 20. Factor p(r).
-4*(r - 3)*(r - 1)*(r + 1)**2
Let o = -115870 - -115870. Factor 8/9*m**3 + 0 + o*m - 2/3*m**2 - 2/9*m**4.
-2*m**2*(m - 3)*(m - 1)/9
Let j(n) be the third derivative of -8*n**7/315 + 2771*n**6/90 + 77*n**5/5 - 3*n**2 + 11*n - 19. Find h such that j(h) = 0.
-1/4, 0, 693
Let o(n) = 3*n**2 - 181*n - 384. Let z(w) = -4*w**2 + 272*w + 576. Let v(c) = 8*o(c) + 5*z(c). Factor v(g).
4*(g - 24)*(g + 2)
Let t(g) be the third derivative of g**5/150 - 161*g**4/180 - 92*g**2 - 5*g. Suppose t(k) = 0. What is k?
0, 161/3
Let n = -213 + 217. Factor 8*i**2 + 8*i**4 - 5*i**4 - 2*i**3 - 2*i**n - 5*i**3 + i**3.
i**2*(i - 4)*(i - 2)
Let b = 275925 - 71188463/258. Let d = b + -5/86. Factor 10/3*k**3 + 2*k**2 - 10/3*k - 8/3 + d*k**4.
2*(k - 1)*(k + 1)**2*(k + 4)/3
Suppose -4*h + 3*h + 5 = 0, -21*h = r - 20*h - 7. Factor 4/15 - 2/15*y**3 + 2/15*y - 4/15*y**r.
-2*(y - 1)*(y + 1)*(y + 2)/15
Let x be 2 + (12/(5 - 1) - 1). Let u = -2 + x. Factor 3*d**u + 4*d**2 + 4*d - 3*d**2.
4*d*(d + 1)
Let x(l) be the third derivative of 2*l**7/175 - 23*l**6/150 - 766*l**5/75 + 52*l**4/3 + 15*l**2 - 286*l. Solve x(j) = 0.
-13, 0, 2/3, 20
Let y(u) be the second derivative of 7*u + 0*u**2 - 5/9*u**4 - 1/12*u**5 - 5/6*u**3 + 4. Factor y(f).
-5*f*(f + 1)*(f + 3)/3
Let i(z) = 2*z**2 - 22*z - 29. Let t be i(12). Let p be 4/18 + (t - (-507)/27). Factor 52 + 4*c**2 - p*c - 26*c + 48.
4*(c - 5)**2
Let h be 0/(1/3*-15). Factor -2/7*t**3 + 18/7*t**2 + 0*t + h.
-2*t**2*(t - 9)/7
Let x(s) be the third derivative of -37*s**2 - 1/4*s**4 - 17/80*s**6 + 0 + 0*s**3 - 7/192*s**8 - 3/8*s**7 + 0*s + 7/12*s**5. What is f in x(f) = 0?
-6, -1, 0, 2/7
Let w(l) be the second derivative of -l**5/90 + l**4/12 + 10*l**3/9 - 22*l**2 - 41*l. Let i(k) be the first derivative of w(k). Factor i(o).
-2*(o - 5)*(o + 2)/3
Let p be (3/(3*-9))/(69/(7245/(-70))). Let p*w**3 + 0 - 1/6*w**2 - 1/3*w = 0. What is w?
-1, 0, 2
Let x(r) = -6545*r + 104723. Let j be x(16). Find l, given that 0*l - 8/3*l**2 + 0 + 1/3*l**4 + 2/3*l**j = 0.
-4, 0, 2
Let r(g) be the first derivative of -g**4/24 - 41*g**3/9 - 27*g**2/4 + 676. Factor r(p).
-p*(p + 1)*(p + 81)/6
Let n(y) be the first derivative of -20*y - 4/5*y**5 + 16 + 32*y**2 - 24*y**3 + 8*y**4. Factor n(m).
-4*(m - 5)*(m - 1)**3
Find c, given that 70*c**2 + 726*c - 1944*c - 203*c**2 - 441 - 293*c**2 - 415*c**2 = 0.
-21/29
Let b(w) = -20*w + 242. Let g be b(12). Let -13*z**g - 34*z - 12*z**4 - 4*z**5 - 42*z**3 - 22*z**4 - 16*z + 143*z**2 = 0. What is z?
-5, 0, 1/2, 1
Let h be ((-12)/(-9))/(((-128)/216)/(-8)). Let b be ((h/11)/3)/3. Factor -6/11*a**3 + 0 - b*a**2 - 6/11*a**4 - 2/11*a**5 + 0*a.
-2*a**2*(a + 1)**3/11
Suppose v - 2*n = 26, -646*v - 2*n = -642*v - 24. Let w(o) be the second derivative of 0 + 4/11*o**3 + o**2 + 1/66*o**4 + v*o. Solve w(z) = 0 for z.
-11, -1
Let a(k) be the first derivative of -6/35*k**5 + 0*k + 0*k**2 + 16 + 3/28*k**4 + 2/7*k**3 - 1/14*k**6. What is j in a(j) = 0?
-2, -1, 0, 1
Let p(x) be the second derivative of -x**4/5 + 32*x**3/15 + 24*x**2/5 + 119*x. Factor p(f).
-4*(f - 6)*(3*f + 2)/5
Determine k so that -17/2*k**4 + 83/4*k**3 - 41/2*k**2 + 5/4*k**5 + 2 + 5*k = 0.
-1/5, 1, 2
Let y(j) = -2*j**3 - 2*j**2 + 1. Let p(a) = -2*a**3 + 734*a**2 + 7854*a - 872. Let s(c) = p(c) - 10*y(c). Solve s(h) = 0 for h.
-21, 1/9
Let a = -247 - -148. Let r be a/330 - (-4)/5. Let r - 2/3*o + 1/6*o**2 = 0. Calculate o.
1, 3
Let t be ((-68)/(-17))/((-1)/(-226)). Let y be (-2)/(-26) - t/(-416). Factor 3/2*g - 3/4*g**2 + y.
-3*(g - 3)*(g + 1)/4
Let 3/4*z**4 - 9/4*z**2 - 24 - 75/2*z + 12*z**3 = 0. What is z?
-16, -1, 2
Let l(c) be the first derivative of -c**4/6 - 4*c**3/9 + 41*c**2/3 + 28*c + 2779. Factor l(t).
-2*(t - 6)*(t + 1)*(t + 7)/3
Let r(w) = -4*w**2 + 620*w + 5152. Let f(s) = 2*s - 8. Let n(u) = -28*f(u) - r(u). Factor n(c).
4*(c - 176)*(c + 7)
Let z(o) be the first derivative of -o**8/7560 - o**7/756 + 31*o**3/3 - 63. Let r(w) be the third derivative of z(w). Factor r(s).
-2*s**3*(s + 5)/9
Factor -120*c**3 - 36 + 21*c**2 + 232*c + 53 + 126*c**3 + 59*c**2 - 209.
2*(c + 6)*(c + 8)*(3*c - 2)
Let q(d) be the first derivative of d**6/18 - 7*d**5/5 + 101*d**4/12 - 19*d**3 + 15*d**2 + 2762. Determine c so that q(c) = 0.
0, 1, 2, 3, 15
Find w, given that -10/3*w**4 + 161/3*w**3 + 1057/3*w - 262*w**2 - 98/3 = 0.
1/10, 2, 7
Suppose 2*g = 5*r + 46 - 0, g - 12 = -3*r. Factor 5*h**2 + 7*h**2 + g*h**3 - 13*h**3 + 12*h**4 + 3*h**5 + 13*h**3 + 3*h.
3*h*(h + 1)**4
Let n(l) be the second derivative of l**6/10 - 9*l**5/4 - 21*l**4/4 + 83*l**3/2 - 72*l**2 + 5*l - 114. Find m, given that n(m) = 0.
-3, 1, 16
Let -9*h + 11 - 3 + 20*h - 2*h**2 - 7*h - h**3 = 0. What is h?
-2, 2
Let p(i) be the second derivative of -i**7/525 - i**6/50 + 9*i**4/10 + 27*i**3/5 + 23*i**2 + 85*i - 1. Let b(h) be the first derivative of p(h). Factor b(d).
-2*(d - 3)*(d + 3)**3/5
Suppose 26*j = 24*j + 4690. Let x = j - 2339. Solve -x*o**2 - 98/5 + 2/5*o**3 + 126/5*o = 0.
1, 7
Let d(u) be the third derivative of u**7/280 + 39*u**6/160 + 37*u**5/10 - 21*u**4/2 + 7*u**2 + 107*u. Solve d(q) = 0.
-28, -12, 0, 1
Find w such that -50*w**2 - 552*w + 548 + 22*w**2 + 32*w**2 = 0.
1, 137
Let w(h) be the first derivative of -h**5/420 - 5*h**4/84 - h**3/2 + 2*h**2 - 17*h - 227. Let x(d) be the second derivative of w(d). What is c in x(c) = 0?
-7, -3
Let r(j) be the third derivative of j**7/5880 + 3*j**6/140 + 81*j**5/70 + 25*j**4/6 - 51*j**2 - 1. Let y(l) be the second derivative of r(l). Solve y(w) = 0.
-18
Let i(d) be the second derivative of -d**7/1365 - d**6/260 + 2*d**5/195 + 91*d**2/2 + 59*d - 3. Let j(a) be the first derivative of i(a). Factor j(c).
-2*c**2*(c - 1)*(c + 4)/13
Let x = 390565/3 + -130171. Suppose -100 - x*l**2 - 220/3*l - 4/3*l**3 = 0. Calculate l.
-5, -3
Let s be (14 + 37 - 89) + 40. Suppose -6/5*i**s - 16/5 + 2/15*i**3 + 52/15*i = 0. What is i?
2, 3, 4
Solve -1548/7*v + 299538/7 + 2/7*v**2 = 0.
387
Suppose -59*w + 2560 = -61*w. Let m = 9036/7 + w. Factor -16/7*v**4 + 2/7*v**5 - m*v**2 - 16/7 + 8*v + 50/7*v**3.
2*(v - 2)**3*(v - 1)**2/7
Suppose 0 = 63*y - 67*y + 24. Factor 5113*w**2 - 2 + y*w - 3*w**3 - 5116*w**2 + 2 + 0*w**3.
-3*w*(w - 1)*(w + 2)
Let k be (112/40)/((-8)/(-20)). Let j be (10 - 3 - k) + 2 + 0. Determine n, given that -2/11*n**j - 10/11*n - 8/11 = 0.
-4, -1
Let l(c) = 36*c**2 + 192*c - 153. Suppose -s = -3*v + 25, -v + s = 2*s - 11. Let m(i) = -9*i**2 - 48*i + 38. Let o(n) = v*m(n) + 2*l(n). What is k in o(k) = 0?
-6, 2/3
Suppose -5*z = -r - 11, 0 = -3*z - 2*r + 6 - 28. Find x such that -16/13*x**2 - 2/13*x**3 + z - 14/13*x = 0.
-7, -1, 0
Factor -3*v**3 + v**3 - 501364*v - 50*v**2 + 501014*v - 750.
-2*(v + 5)**2*(v + 15)
Let -32/5 - 22/15*a**2 - 2/15*a**3 - 16/3*a = 0. What is a?
-4, -3
Let j(r) = r**2 - 3*r - 2. Let o be j(-1). Let f be 0 + (o - -2) + -2. Find d such that -f + 6*d - 9*d**3 - 3*d + 4*d + 4*d - 12*d**2 = 0.
-2, 1/3
Let o(q) be the third derivative of -q**6/72 + 35*q**5/24 + 83*q**3/3 - 42*q**2 + 3. Let j(s) be the first derivative of o(s). Let j(x) = 0. Calculate x.
0, 35
Let q(u) be the second derivative of u**6/1620 + u**5/180 + u**4/54 - u**3/6 - 19*u**2 - 6*u - 5. Let w(f) be the second derivative