third derivative of -d**5/100 - 19*d**4/40 - 98*d**2. Let a(x) = 0. What is x?
-19, 0
Suppose 0 = -a - 3*a - 24. Let q(t) = t**2 - 3*t - 4. Let i(d) = -3*d**2 - 23*d - 4*d + 33*d + 9. Let o(z) = a*i(z) - 15*q(z). Let o(f) = 0. What is f?
-2, -1
Let w(p) = 29*p**3 + 329*p**2 + 789*p + 18. Let k(q) = -7*q**3 - 82*q**2 - 197*q - 4. Let n(b) = -9*k(b) - 2*w(b). Factor n(f).
5*f*(f + 3)*(f + 13)
Let f(d) = -d**2 + 16*d - 23. Let t be f(14). Suppose t - 3*a + 11*a - 5*a**2 - 8*a = 0. What is a?
-1, 1
Let j(m) = 10 - m - 3*m - m**3 - 2*m**2 + 20*m**2 + 6*m**4 + 9*m**3. Let o(y) = 2*y**4 + 3*y**3 + 6*y**2 - y + 3. Let a(z) = 6*j(z) - 20*o(z). Factor a(l).
-4*l*(l + 1)**3
Let d(b) be the first derivative of -6*b + 15/4*b**2 + 3/10*b**5 + 10 + 3/2*b**3 - 15/8*b**4. Factor d(p).
3*(p - 4)*(p - 1)**2*(p + 1)/2
Let j(a) be the first derivative of 35*a**6/6 - 19*a**5 - 275*a**4/4 + 455*a**3/3 + 390*a**2 + 180*a + 71. Let j(y) = 0. What is y?
-2, -1, -2/7, 3
Let q(x) be the first derivative of x**4/16 - 17*x**3/12 - x**2/8 + 17*x/4 + 29. Solve q(w) = 0 for w.
-1, 1, 17
Let n = 15/31 + 1/62. Let j(s) be the second derivative of -5*s - n*s**3 + 0 + 9/4*s**2 + 1/24*s**4. Factor j(f).
(f - 3)**2/2
Let y(j) be the third derivative of j**9/3240 - j**8/840 - j**7/945 + j**4/6 - 10*j**2. Let i(l) be the second derivative of y(l). Factor i(r).
2*r**2*(r - 2)*(7*r + 2)/3
Suppose 78/5*w - 216/5 - 2/5*w**2 = 0. Calculate w.
3, 36
Let m be 13/(-195)*(-110)/11. Factor 1/6*h**2 + 2/3*h + m.
(h + 2)**2/6
Let c be (-18)/(-14) - (-8)/(-28). Let t(f) = c - f - 1 + 0*f. Let m(r) = -r**2 + 9*r - 9. Let y(i) = -2*m(i) - 6*t(i). What is u in y(u) = 0?
3
Let z = 25608 + -128038/5. Factor 8/5*g + z*g**2 + 0.
2*g*(g + 4)/5
Let o(t) = -t. Let v(u) = 2*u**2 - 2*u. Let j(p) = -4*o(p) - 12*v(p). Factor j(b).
-4*b*(6*b - 7)
Let f(x) be the third derivative of -x**5/12 - 145*x**4/24 + 155*x**3/3 - 43*x**2. Let f(k) = 0. What is k?
-31, 2
Let h(v) = -10*v**2 - 22. Let d(a) = a**2 + 2. Let g(z) = -22*d(z) - 2*h(z). Factor g(j).
-2*j**2
Let w = -328 - -2962/9. Determine r, given that 4/9 - 2/9*r**3 + 8/9*r**2 - w*r = 0.
1, 2
Suppose -43*g + 37*g = 30. Let o be ((-9)/(-15))/(2/g) - -2. Factor -f**3 + 1/2*f**5 + 1/2*f**4 + 1/2*f - f**2 + o.
(f - 1)**2*(f + 1)**3/2
Let y(o) = -3*o**5 + 2*o**4 + 11*o**3 + 4*o**2 + 4*o. Let v(t) = 39*t**5 - 27*t**4 - 144*t**3 - 51*t**2 - 54*t. Let k(b) = -2*v(b) - 27*y(b). Factor k(s).
3*s**2*(s - 2)*(s + 1)**2
Suppose -4*d - 9 - 1 = -2*v, -5*v + 14 = d. Find u, given that v*u + 12*u**2 - 5*u + 3*u - 5*u = 0.
0, 1/3
Suppose 29 = 5*n + 9. Factor -4*r**n + 0*r**4 + 0*r**4.
-4*r**4
Suppose -4*p**2 - 1/4*p**3 + 17/4*p + 0 = 0. Calculate p.
-17, 0, 1
Let z be ((-14)/(-273) - 172/312)*(-4)/3. Factor z - 1/3*m**3 - 1/6*m**4 + 4/3*m + 1/2*m**2.
-(m - 2)*(m + 1)**2*(m + 2)/6
Let l(n) be the second derivative of -n**6/10 - 3*n**5/2 + 53*n**4/4 - 21*n**3 + 2*n. Let l(y) = 0. Calculate y.
-14, 0, 1, 3
Let h = -6/329 + 383/2961. Let r(n) be the second derivative of -h*n**3 - 1/9*n**4 + 0*n**2 + 0 - 2*n - 1/30*n**5. Factor r(s).
-2*s*(s + 1)**2/3
Let b(q) be the first derivative of -2*q**5 - 65*q**4/4 - 155*q**3/3 - 80*q**2 - 60*q - 344. Determine o so that b(o) = 0.
-2, -3/2, -1
Let u = -4078 - -4080. Find y such that 10/13*y**4 + 16/13*y**3 + 0 + 0*y - 8/13*y**u = 0.
-2, 0, 2/5
Let t(v) be the third derivative of v**8/1848 + v**7/385 - v**6/660 - v**5/110 - 354*v**2. Determine r so that t(r) = 0.
-3, -1, 0, 1
Let j(i) be the third derivative of i**7/210 - i**6/45 - i**5/10 + 25*i**3/6 + 40*i**2. Let w(b) be the first derivative of j(b). Factor w(l).
4*l*(l - 3)*(l + 1)
Let t(q) = 4*q**2 + 2*q - 2. Let k(d) = -19*d**2 - 128*d + 3491. Let v(j) = 3*k(j) + 15*t(j). Solve v(l) = 0 for l.
59
Find h, given that 4*h**3 + 2*h**2 - h**3 + h**4 + 0*h**3 - 11*h**3 + 5*h**2 = 0.
0, 1, 7
Let n(q) be the second derivative of q**8/13440 + q**7/5040 + q**4/3 - 12*q. Let j(v) be the third derivative of n(v). Factor j(r).
r**2*(r + 1)/2
Let j(g) be the first derivative of -5*g**6/6 + 14*g**5 - 195*g**4/2 + 360*g**3 - 1485*g**2/2 + 810*g - 286. Factor j(a).
-5*(a - 3)**4*(a - 2)
Let q(o) be the first derivative of -o**5/15 - 2*o**4/3 - 7*o**3/9 - 20. Factor q(n).
-n**2*(n + 1)*(n + 7)/3
Let v be (-420)/(-32) - (-156)/(-12). Let 5/8*i + v + 5/4*i**2 + 5/8*i**4 + 5/4*i**3 + 1/8*i**5 = 0. Calculate i.
-1
Let j(y) be the second derivative of y**6/6 - y**5 - 5*y**4/2 + 10*y**3/3 + 25*y**2/2 - y - 9. Find k, given that j(k) = 0.
-1, 1, 5
Let s(t) be the third derivative of -8/15*t**6 - 11/8*t**4 - 1/3*t**3 + 8*t**2 - 12/5*t**5 + 0 + 2*t. Factor s(q).
-(q + 2)*(8*q + 1)**2
Let k be 4/14 - (-445)/35. Suppose -2*d**4 - 14*d**3 + 17*d**3 - k*d + 10*d + 5*d**4 - 3*d**2 = 0. What is d?
-1, 0, 1
Let u(c) be the first derivative of 2*c**3/3 - 6*c**2 + 16*c - 60. Factor u(z).
2*(z - 4)*(z - 2)
Let r = -1310 - -45853/35. Let f(i) be the first derivative of 1/21*i**3 - 5 + 0*i + 0*i**2 + r*i**5 - 3/28*i**4 - 1/42*i**6. Factor f(v).
-v**2*(v - 1)**3/7
Let j be -1 - (-6)/4 - (-29)/(-2). Let y be 1/7 + (-19)/j + -1. Factor y*q**4 - 4*q**3 - 16*q + 8 + 12*q**2.
(q - 2)**4/2
Let v be -2 + -3 + (-128)/(-24). Find m such that -1/3*m + 0 - 1/3*m**4 + v*m**3 + 1/3*m**2 = 0.
-1, 0, 1
Solve -5/2*u**4 - 8 - 36*u**2 - 16*u**3 - 32*u = 0 for u.
-2, -2/5
Suppose -20 + 0 = c. Let u = -11 - c. Factor 6*y**4 - u*y**4 + 3*y**5 + 0*y**4.
3*y**4*(y - 1)
Let y = 804 - 802. Let x(t) be the first derivative of 8/3*t**3 - 3 + 0*t + 2*t**y + t**4. Solve x(d) = 0 for d.
-1, 0
Let m(q) be the third derivative of -q**7/70 - 3*q**6/20 + q**5/20 + 3*q**4/4 + 149*q**2. Suppose m(b) = 0. What is b?
-6, -1, 0, 1
Suppose -44*t**3 + 20*t**5 - 11*t**5 + 80*t - 64 - 5*t**5 + 32*t**2 - 8*t**4 = 0. Calculate t.
-2, 1, 4
Factor -4*d + 2 - 1/2*d**4 + d**3 + 3/2*d**2.
-(d - 2)*(d - 1)**2*(d + 2)/2
Let i(d) = -20*d**2 + 36*d + 24. Let a(o) = -4*o**2 + 7*o + 5. Let t = 31 + -7. Let s(p) = t*a(p) - 5*i(p). Solve s(u) = 0 for u.
0, 3
Let t be (-121334)/(-21424) - 2/16. Determine f, given that -2/13*f**4 - t*f**2 - 22/13*f**3 + 128/13 - 32/13*f = 0.
-4, 1
Let s be 1 - (0 + (0 - -1)). Let a be (-5)/(140/116) - (46 - 51). Factor a*q**2 + 0 - 3*q**4 + s*q - 15/7*q**3.
-3*q**2*(q + 1)*(7*q - 2)/7
Let g be -15*((-39)/9 - -3). Factor 688 + 245*t**5 + 385*t**4 + 160*t**3 - 688 + g*t**2.
5*t**2*(t + 1)*(7*t + 2)**2
Factor 45*v**4 - 92*v**4 - 15*v + 45*v**2 + 2*v**3 + 42*v**4 - 30*v + 3*v**3.
-5*v*(v - 3)*(v - 1)*(v + 3)
Let u(j) be the first derivative of j**4 + 136*j**3 + 5202*j**2 - 446. Factor u(z).
4*z*(z + 51)**2
Let g(m) be the first derivative of 0*m + 2/9*m**3 + 0*m**4 - 2/9*m**2 - 6 - 2/45*m**5. Suppose g(o) = 0. What is o?
-2, 0, 1
Let g(n) be the first derivative of -2*n**3/9 + 116*n**2/3 - 589. Suppose g(w) = 0. Calculate w.
0, 116
Suppose 10*g**2 + 18*g - 17*g**2 - 4 + 4*g**2 + 4 = 0. What is g?
0, 6
Let i be (-9 - (-170)/20) + 2/12*5. Factor 0 - i*h**5 - 4/3*h**4 + 0*h - 5/3*h**3 - 2/3*h**2.
-h**2*(h + 1)**2*(h + 2)/3
Let y be (2/(-7 - 6/(-3)))/((-225)/1125). Factor -4/7*o**3 + 0 - 2/7*o - 5/7*o**y - 1/7*o**4.
-o*(o + 1)**2*(o + 2)/7
Let g(m) be the third derivative of -m**8/1512 + 8*m**7/945 + m**6/270 - 8*m**5/135 - m**4/108 + 8*m**3/27 - m**2 - 156*m. Find h, given that g(h) = 0.
-1, 1, 8
Suppose -5*g - 2*b = -15, 3*g + 2*g + 5*b = 15. Let a be -5*(g - 18/5). Factor 18*f**4 + f**3 + 13*f**3 - 27*f + 3*f**5 - 15*f**2 - a*f**2 + 10*f**3.
3*f*(f - 1)*(f + 1)*(f + 3)**2
Let h(t) be the second derivative of -t**9/6048 - t**8/2688 + t**7/504 - t**4 - t. Let l(m) be the third derivative of h(m). Solve l(b) = 0 for b.
-2, 0, 1
Let v(f) be the second derivative of 5*f**7/42 + 23*f**6/30 - 43*f**5/20 - f**4/4 + 3*f**3 - 252*f. Factor v(q).
q*(q - 1)**2*(q + 6)*(5*q + 3)
Let k(v) = -7*v**4 - 23*v**2 - 30*v + 11. Let p(c) = 4*c**4 + 12*c**2 + 16*c - 6. Let b(q) = -6*k(q) - 11*p(q). Factor b(g).
-2*g*(g - 2)*(g + 1)**2
Let x(f) be the second derivative of f**5/300 - f**4/120 - f**3/15 - 31*f**2/2 - 27*f. Let u(o) be the first derivative of x(o). Factor u(w).
(w - 2)*(w + 1)/5
Let m(g) be the first derivative of -g**8/2520 - g**7/315 + g**6/108 - g**3/3 - 2*g**2 + 30. Let p(j) be the third derivative of m(j). Factor p(s).
-2*s**2*(s - 1)*(s + 5)/3
Let j be (-