*h**4 + 5*h**4 + o*h**3 - 4.
-2*(h - 1)**2*(h + 1)**3
Let v(w) be the first derivative of 0*w**2 + 1/39*w**6 - 30 + 6/13*w**4 + 12/65*w**5 + 0*w + 16/39*w**3. Factor v(u).
2*u**2*(u + 2)**3/13
Let q(u) be the third derivative of 0 - 2/45*u**5 + 0*u + 8*u**2 - 2/9*u**3 - 17/108*u**4. Factor q(h).
-2*(3*h + 2)*(4*h + 3)/9
Let y(p) be the first derivative of 0*p**3 + 1/18*p**4 + 30 + 0*p + 1/27*p**6 + 0*p**2 + 4/45*p**5. Suppose y(u) = 0. What is u?
-1, 0
Determine w so that -351/8 - 159/4*w**2 - 153/2*w - 3/8*w**4 - 15/2*w**3 = 0.
-13, -3, -1
Let x(g) be the first derivative of -g**6/30 + 3*g**4/20 - 2*g**3/15 - 9. Suppose x(n) = 0. What is n?
-2, 0, 1
Find n, given that 135*n**2 - 348*n**3 + 256*n**4 - 91*n**2 - 9*n**5 + 5*n**5 - 40*n**5 - 116*n**2 = 0.
-2/11, 0, 3
Let d(w) be the second derivative of -2/21*w**4 - 1/3*w**6 + 0 - 11/35*w**5 - 25/294*w**7 + 13*w + 0*w**2 + 0*w**3. Factor d(i).
-i**2*(i + 2)*(5*i + 2)**2/7
Suppose 3*p - 4*v = 18, 2*p - p = 4*v + 14. Let i(r) be the first derivative of -p*r**2 + 11/9*r**3 - 1/4*r**4 + 9 + 4/3*r. Find m, given that i(m) = 0.
2/3, 1, 2
Let d(v) be the first derivative of -34 + 8/13*v**2 + 8/13*v**3 + 0*v - 23/13*v**4 - 7/39*v**6 + 66/65*v**5. Let d(i) = 0. Calculate i.
-2/7, 0, 1, 2
Let c(m) = -5*m**2 - 31*m + 90. Let n(q) = 70*q**2 + 435*q - 1260. Let i(y) = 55*c(y) + 4*n(y). Factor i(r).
5*(r - 2)*(r + 9)
Suppose 110*z**3 + 133*z - 57*z + 25*z**4 + 41*z**2 - 72*z = 0. What is z?
-4, -1/5, 0
Let y(a) = -a**3 - 29*a**2 + 6*a + 176. Let g be y(-29). Let i(z) be the first derivative of z**4 - 7/8*z**g + 1 + 2/3*z**3 + 1/4*z. Let i(k) = 0. What is k?
-1, 1/4
Let l = -1141 - -17117/15. Let p(c) be the first derivative of 0*c**2 - 2/3*c**3 - l*c**5 - 2/3*c**4 + 0*c + 6. Determine w, given that p(w) = 0.
-3, -1, 0
Determine t, given that -2/7*t**5 + 0 + 0*t + 8/7*t**3 + 4/7*t**2 - 1/7*t**4 = 0.
-2, -1/2, 0, 2
Let v = 82 - 85. Let f be ((-1)/4)/(v/4). Factor -1/6 - f*l - 1/6*l**2.
-(l + 1)**2/6
Let v(k) be the second derivative of -k**9/756 - 7*k**3/6 + 8*k. Let p(b) be the second derivative of v(b). Find q, given that p(q) = 0.
0
Let o(t) be the second derivative of 2/135*t**6 + 15*t - 2/27*t**3 + 1/45*t**5 + 0*t**2 + 0 - 1/27*t**4. Find n, given that o(n) = 0.
-1, 0, 1
Suppose -2*v = -2*u - 30, 3*v + 4*u = 83 - 59. Determine x, given that 36/7*x**3 + 64/7*x + v*x**2 + 16/7 = 0.
-1, -2/3
Let v(g) = 5*g**3 + 180*g**2 - 1955*g + 6865. Let c(o) = 7*o**3 + 181*o**2 - 1954*o + 6866. Let w(r) = -5*c(r) + 6*v(r). Let w(s) = 0. What is s?
7, 14
Let k(g) be the third derivative of 11*g**7/3780 + g**6/81 + 7*g**5/540 - g**4/54 + g**3/6 + 31*g**2. Let c(b) be the first derivative of k(b). Factor c(q).
2*(q + 1)**2*(11*q - 2)/9
Let s(h) be the first derivative of -h**8/560 + h**7/840 + h**6/40 + h**5/40 - h**4/12 - 29*h**3/3 + 9. Let j(k) be the third derivative of s(k). Factor j(d).
-(d - 2)*(d + 1)**2*(3*d - 1)
Factor -12/5 - 6/5*s + 16/15*s**2 - 2/15*s**3.
-2*(s - 6)*(s - 3)*(s + 1)/15
Let x(i) = 4*i**3 + 9*i**2 + 12*i + 7. Let y(h) = 12*h**3 + 28*h**2 + 36*h + 20. Let z(w) = -8*x(w) + 3*y(w). Factor z(c).
4*(c + 1)**3
Suppose 0 = -t + 3*t - f, 3*t - 10 = -f. Let n = 84 - 82. Factor 3*c**t - 10*c**2 + 3*c**n.
-4*c**2
Let i(b) = -2*b - 3. Let a be i(-3). Factor 0*h**a - 4*h**3 + 28*h**5 - 24*h**5.
4*h**3*(h - 1)*(h + 1)
Let k(u) be the first derivative of -7921*u**3/3 - 89*u**2 - u + 50. Find j, given that k(j) = 0.
-1/89
Let g(p) be the first derivative of -8*p + 4/3*p**3 - 4 + 2*p**2. Factor g(d).
4*(d - 1)*(d + 2)
Let x(z) = z**3 + 9*z**2 + 10*z. Suppose 0 = 2*u - 8*u + 30. Let h(a) = 3*a**3 + 19*a**2 + 21*a. Let o(i) = u*x(i) - 2*h(i). Factor o(v).
-v*(v - 8)*(v + 1)
Solve 2*h - 10*h**3 + 9*h**3 + 3*h**3 + 14*h - 18*h**2 = 0 for h.
0, 1, 8
Let g = -40895/3 + 13632. Factor -f - g*f**2 + 0.
-f*(f + 3)/3
Suppose -n + 5*g + 36 = -17, -3*g - 144 = -4*n. Let j be 6/33 - (-93)/n. Factor -a**3 + 16*a**2 + 12*a + 17*a**3 - 12*a**j.
4*a*(a + 1)*(a + 3)
Let f(z) be the third derivative of -7*z**7/165 + 7*z**6/30 - 59*z**5/110 + 2*z**4/3 - 16*z**3/33 + 3*z**2 + 33*z. Factor f(m).
-2*(m - 1)**2*(7*m - 4)**2/11
Let u be 2/14*(-2842)/(-1015). Find m such that 0 + 0*m + u*m**3 - 2/3*m**4 + 4/15*m**2 = 0.
-2/5, 0, 1
Let p(x) be the first derivative of 2*x**3/21 + 40*x**2/7 - 258*x/7 - 118. Determine r, given that p(r) = 0.
-43, 3
Let p be (-4)/(-8) + -1 + 1404/504. Determine q, given that -2*q**3 + p - 52/7*q**2 - 40/7*q = 0.
-2, 2/7
Let r(m) be the third derivative of m**6/30 - 13*m**5/15 - 7*m**4/3 + 55*m**2 - 1. Factor r(o).
4*o*(o - 14)*(o + 1)
Let y be 414/99 - (1 + 18/(-22)). Suppose -2*d - y = -10. Factor 8/3*i + 1/3*i**d + 4/3 + 5/3*i**2.
(i + 1)*(i + 2)**2/3
Let n(c) be the first derivative of -1/6*c**3 + 28 - 7/2*c + 2*c**2. Factor n(t).
-(t - 7)*(t - 1)/2
Let k(d) be the first derivative of -d**3/15 - 121. Solve k(z) = 0 for z.
0
Let c(d) be the third derivative of d**6/96 - d**5/6 + 95*d**4/96 - 5*d**3/2 - 44*d**2 - 2*d. Solve c(s) = 0 for s.
1, 3, 4
Let v(u) be the second derivative of -u**7/210 + 13*u**6/150 - 29*u**5/50 + 53*u**4/30 - 17*u**3/6 + 5*u**2/2 + 19*u - 3. Factor v(h).
-(h - 5)**2*(h - 1)**3/5
Let n be -3*(-4)/18*-3. Let o be (7 - (-2 - n)) + -3. Determine p so that p + 48*p**3 - 45*p**3 + o*p - 3 + 4*p - 9*p**2 = 0.
1
Let g(a) be the third derivative of a**9/14400 + a**8/2800 - a**7/2100 - a**5/12 + 30*a**2. Let m(b) be the third derivative of g(b). Factor m(d).
3*d*(d + 2)*(7*d - 2)/5
Suppose 25*c - 5 - 2 - 43 = 0. Factor 1/2*w**5 + c*w - 6*w**2 - 3*w**4 + 0 + 13/2*w**3.
w*(w - 2)**2*(w - 1)**2/2
Let 1/2*c**4 + 0 + 3/2*c**2 + 0*c - 2*c**3 = 0. What is c?
0, 1, 3
Let g(w) = w**2 + w. Let n(r) = -2*r**2 + r + 3. Let a be (-1)/(1 - (-1)/(-2)). Let k be 1/(3 - (a - -6)). Let s(u) = k*n(u) + g(u). Factor s(q).
3*(q - 1)*(q + 1)
Factor -1596*l**3 + 387258*l**2 - 9961*l**4 + 9964*l**4 - 68856*l**2 - 28231644*l + 938702163.
3*(l - 133)**4
Let d(x) be the second derivative of x**6/90 + x**5/10 - 5*x**4/12 + 4*x**3/9 - 60*x. Factor d(f).
f*(f - 1)**2*(f + 8)/3
Let l be 5/(0 - (0 + 195/(-6))). Find d such that 0 + 0*d + 0*d**3 + 0*d**2 - l*d**4 - 2/13*d**5 = 0.
-1, 0
Let t be (5 + -2 - 1) + -3. Let f(k) = -k + 2. Let i be f(t). Find d, given that 1/2*d**i + 1/2*d - d**2 + 0 = 0.
0, 1
Let j(a) be the second derivative of a**7/84 - a**6/24 - a**5/10 + 17*a**4/48 - a**3/4 - a - 39. Suppose j(g) = 0. What is g?
-2, 0, 1/2, 1, 3
Let i(y) = 4*y - 12. Let o be i(6). Let w = -9 + o. Factor 4*d - 6 + 6*d**2 + 3*d**4 - w + 3*d - 12*d**3 + 5*d.
3*(d - 3)*(d - 1)**2*(d + 1)
Let w(h) be the second derivative of -h**8/84 - 4*h**7/105 + 2*h**5/15 + h**4/6 + h**2/2 + 6*h. Let p(m) be the first derivative of w(m). Factor p(j).
-4*j*(j - 1)*(j + 1)**3
Let b = -652 + 9782/15. Let d(x) be the third derivative of -1/6*x**6 + 0*x - 2/15*x**5 + 0 + 0*x**3 + b*x**7 + 4*x**2 + 0*x**4. Factor d(n).
4*n**2*(n - 1)*(7*n + 2)
Let c = 33 - 23. Let t = 111 + -48. Find u such that 7 + 108*u**3 - 9*u**2 - c - 33*u - t*u**2 = 0.
-1/6, 1
Let b = 26 - 18. Let n = -5 - -8. Factor 6 - z - 4*z + n*z**2 - b*z + 4*z.
3*(z - 2)*(z - 1)
Let p(f) = f**3 - 8*f**2 + 10*f + 8. Let u be p(6). Let t = 4 + u. Solve 8/9*l**3 - 8/9*l**2 + t*l - 2/9*l**4 + 0 = 0.
0, 2
Let y(z) be the first derivative of -z**3 - 117*z**2/2 - 114*z + 155. Suppose y(f) = 0. What is f?
-38, -1
Let q = 1/2189 + 8749/15323. Factor q*d - 2/7*d**2 - 2/7.
-2*(d - 1)**2/7
Let o = 1584 + -4747/3. Determine x, given that -5/3*x - 10/3 + o*x**2 = 0.
-1, 2
Let m = -51126 + 153382/3. What is b in -4/3*b - m*b**2 + 1/3*b**4 + 1/3*b**3 + 0 = 0?
-2, -1, 0, 2
Let g be ((-6)/7)/((-24)/112). Let a(v) be the third derivative of 0*v - 1/140*v**5 + 0 + 1/21*v**g - 2*v**2 - 2/21*v**3. Factor a(n).
-(n - 2)*(3*n - 2)/7
Let s(f) be the first derivative of 1/6*f**3 - 1/2*f - 8 + 3/8*f**2. Find v, given that s(v) = 0.
-2, 1/2
Let t(c) be the first derivative of -c**6/120 + c**4/48 + 4*c - 14. Let r(d) be the first derivative of t(d). Find q such that r(q) = 0.
-1, 0, 1
Let c(q) be the second derivative of -q**4/2 + 11*q**3/6 - 7*q**2/2 - 17*q. Let n(a) = -6*a**2 + 10*a - 8. Let x(y) = -4*c(y) + 3*n(y). Factor x(d).
2*(d - 2)*(3*d - 1)
Factor 12/5 - 7/5*j**2 + 8*j.
-(j - 6)*(7*j + 2)/5
Let p(s) = -137*s -