3)/15*(-250)/150. Factor 11*s**2 + 42*s**3 - 165*s**2 + 6*s**4 + 40*s + z*s**2 + 14*s**4 + 30*s**3.
4*s*(s - 1)*(s + 5)*(5*s - 2)
Let n(f) be the second derivative of f**8/5600 - f**7/900 + f**5/75 - 2*f**4/3 + f**2 + 6*f - 1. Let o(t) be the third derivative of n(t). Factor o(g).
2*(g - 2)*(g - 1)*(3*g + 2)/5
Factor -2*b**2 + 64362*b + 29*b**3 - 64311*b - 3*b**4 - 14 - 61*b**2.
-(b - 7)*(b - 1)**2*(3*b - 2)
Let g be (64/5)/((-3)/(-15)). Let q = 76 - g. What is y in -8*y - q + 4*y**2 - 1 + 13 = 0?
0, 2
Let z(p) be the third derivative of p**8/3360 - 31*p**7/5040 - 11*p**6/720 - p**5/60 + 3*p**3 - 6*p**2. Let s(y) be the third derivative of z(y). Factor s(o).
(2*o - 11)*(3*o + 1)
Let q(t) be the first derivative of -t**4/10 + 32*t**3/5 + 204*t**2/5 + 416*t/5 - 4098. Solve q(f) = 0.
-2, 52
Let q(k) be the third derivative of -1/5*k**5 - 1/490*k**7 + 0*k + 0*k**3 - k**2 + 3/7*k**4 + 1/28*k**6 - 26. What is n in q(n) = 0?
0, 2, 6
Find c such that -2/5*c**3 + 408/5*c - 40*c**2 + 0 = 0.
-102, 0, 2
Suppose 65/3*m + 28/3*m**4 + 0 + 130/3*m**3 - m**5 + 164/3*m**2 = 0. Calculate m.
-5/3, -1, 0, 13
Suppose -5472*q + 5470*q - 2*s = -42, -4*s = -q - 74. Let 4/11*t**q + 0 + 2/11*t**3 - 48/11*t = 0. What is t?
-6, 0, 4
Suppose -15436*u = -15618*u + 546. Solve 4*f**5 - 28/5*f**u + 8/5*f + 0 + 12/5*f**4 - 12/5*f**2 = 0.
-1, 0, 2/5, 1
Let w be (-1)/(-7) + (-855)/105 + 8. Factor 4/7*k**4 + 0*k + w - 16/7*k**3 + 0*k**2.
4*k**3*(k - 4)/7
Suppose -13580 = -342*r + 332*r. Let p = 1358 - r. Solve -2/21*c**4 + 8/21*c + 10/21*c**3 + p - 16/21*c**2 = 0.
0, 1, 2
Let n(v) be the third derivative of -v**5/12 + 45*v**4/4 - 420*v**3 - 12*v**2 + 34*v + 1. Determine w so that n(w) = 0.
12, 42
Suppose 6 + 0 - 6 = -803*w. Let 35/2*j**3 + 55/2*j**2 + 5/2*j**4 + w + 25/2*j = 0. What is j?
-5, -1, 0
Let v(k) be the first derivative of k**6/6 - 4*k**5/5 + 3*k**4/4 + 4*k**3/3 - 2*k**2 - 598. Factor v(f).
f*(f - 2)**2*(f - 1)*(f + 1)
Let j(y) be the third derivative of 3/8*y**4 - 40*y**2 + 1/10*y**5 + 2/3*y**3 + 0*y + 1/120*y**6 + 0. Let z(t) be the first derivative of j(t). Factor z(b).
3*(b + 1)*(b + 3)
Let z(q) be the third derivative of -q**8/12 - 2*q**7/21 + 17*q**6/10 - 7*q**5/15 - 22*q**4/3 + 8*q**3 + 90*q**2 + 5*q. Let z(y) = 0. Calculate y.
-3, -1, 2/7, 1, 2
Find g, given that -2802276/7*g - 3/7*g**3 + 521223336/7 + 5022/7*g**2 = 0.
558
Factor 7*o**4 + 39*o**2 + 2865*o**3 - 100*o - 52*o - 28 - 252*o**2 - 2947*o**3.
(o - 14)*(o + 1)**2*(7*o + 2)
Let a = 779837 - 5458833/7. Factor 80/7 - a*s + 2/7*s**2.
2*(s - 8)*(s - 5)/7
Suppose 0 = -2*r + 5*r + 12, 3*q = 4*r - 71. Let z = 33 + q. Factor 0*i + 25*i**2 + 0*i - 5*i**3 + 2*i**4 - 12*i**z - 10*i.
-5*i*(i - 1)*(i + 2)*(2*i - 1)
Let y(s) be the third derivative of -s**5/20 + 185*s**4/8 - 362*s**3 + 6531*s**2. Factor y(m).
-3*(m - 181)*(m - 4)
Let n(i) be the second derivative of 1 - 32*i + 1/2*i**3 + 3*i**2 - 1/4*i**4. Factor n(s).
-3*(s - 2)*(s + 1)
Suppose -2*v + 4*w = 3*v + 5, -2*v = 4*w - 26. Let f = 11832/35 - 69907/210. Suppose f*a**v - 1/2*a**4 + 0 + 25/6*a - 85/6*a**2 = 0. Calculate a.
0, 1/3, 5
Let v(f) = 218*f - 1526. Let h be v(7). Let g(n) be the second derivative of -1/2*n**5 + 11/3*n**3 + h + 1/3*n**4 + 6*n**2 - 17*n - 2/15*n**6. Solve g(p) = 0.
-2, -1, 3/2
Let u(b) be the third derivative of -b**5/300 - 9*b**4/20 - 458*b**2. Factor u(n).
-n*(n + 54)/5
Let j(n) be the first derivative of -n**6/30 + 9*n**5/20 - 22*n - 123. Let m(l) be the first derivative of j(l). Suppose m(u) = 0. What is u?
0, 9
Let s be 14 + 6 + -9 + -9. Let u(b) be the third derivative of 1/1140*b**6 - 1/570*b**5 + 0*b + 0 + 1/57*b**3 - 1/228*b**4 + s*b**2. What is h in u(h) = 0?
-1, 1
Let g(l) = 5*l - 63. Let y be g(25). Suppose y*o + 2*o**2 + 174*o + 4608 - 44*o = 0. What is o?
-48
Let z be 2/8*18*12/18. Let j(q) be the second derivative of 0 + 25*q**2 - 5/12*q**4 - 5/2*q**z + 36*q. Determine x so that j(x) = 0.
-5, 2
Let s(o) = -6*o**4 + 38*o**3 - 458*o**2 + 941*o - 731. Let n(r) = r**4 - 8*r**3 + 92*r**2 - 190*r + 146. Let x(f) = 11*n(f) + 2*s(f). Factor x(z).
-(z - 2)**3*(z + 18)
Let k(z) = -145*z + 3196. Let f be k(22). Let x(g) be the first derivative of -4/3*g**3 + f + 6*g**2 - 8*g. Factor x(o).
-4*(o - 2)*(o - 1)
Let i = 2444911/33339 - 17/11113. Find w such that 100/3*w**3 + 16 + i*w + 260/3*w**2 + 4*w**4 = 0.
-4, -3, -1, -1/3
Let i(d) = -86665*d + 519995. Let w be i(6). Find f, given that -2/11*f**w + 10/11*f**3 - 6/11*f**2 + 0 + 6/11*f**4 - 8/11*f = 0.
-1, 0, 1, 4
Let q be ((-10)/125*-5)/((-7)/(-140)). Let j(b) be the second derivative of 7/10*b**5 - 5*b**4 + 0 - 7*b - q*b**2 + 12*b**3. Factor j(x).
2*(x - 2)**2*(7*x - 2)
Find m such that -20/3 - 274/9*m + 28/9*m**2 = 0.
-3/14, 10
Let g(v) = -29155*v**2 + 1095*v - 5. Let s(q) = 14578*q**2 - 546*q + 3. Let k(p) = 2*g(p) + 5*s(p). Let k(i) = 0. Calculate i.
1/54
Let w = 95390 + -95382. Factor -8/3*s**2 - w*s**4 + 4/3*s**5 + 32/3 + 44/3*s**3 - 16*s.
4*(s - 2)**3*(s - 1)*(s + 1)/3
Suppose 15*s - 225 = 12*s. Suppose -13*x + 20*x**3 - 9*x + 2*x + s*x**2 = 0. Calculate x.
-4, 0, 1/4
Let k(d) = d**3 - 8*d**2 - 1. Let z be k(8). Let v(l) = -42*l. Let g be v(z). Factor -g*q + 20*q**2 + 4*q**3 - 4*q**2 + 54*q.
4*q*(q + 1)*(q + 3)
Suppose 1644 - 19169 = -5*s. Find v, given that 284*v**3 - 32 + 16*v + 1741*v**4 + 248*v**2 + 1848*v**4 - s*v**4 = 0.
-2, -1, -2/3, 2/7
Let y(t) be the second derivative of -t**4/4 + 709*t**3/2 - 1062*t**2 + 935*t. Factor y(r).
-3*(r - 708)*(r - 1)
Let r = 96 + 18. Let -3*v**2 - r*v - 43 - 376 - 664 = 0. What is v?
-19
Factor 287*b**3 - 75*b**2 + 40*b - 145*b**3 - 45*b + 75 - 137*b**3.
5*(b - 15)*(b - 1)*(b + 1)
Suppose 0 = -0*w + 12*w - 60. Suppose 4*j + w*v - 1437 = 0, 3*v + 0*v = 5*j - 1787. Suppose -j*p + 360*p - p**2 + 3*p**2 = 0. What is p?
-1, 0
Let t(m) = -11*m**3 + 20*m**2 - 187*m + 70. Let n(h) = -2*h**3 - h**2 - 5*h + 2. Let k(a) = 24*n(a) - 3*t(a). Determine c so that k(c) = 0.
-9, 2/5, 3
Let y = 14332/7 + -2044. Let w(i) be the first derivative of 24/35*i**5 + 11/7*i**4 - 32/7*i + 8/21*i**3 + 7 + 2/21*i**6 - y*i**2. Let w(u) = 0. Calculate u.
-2, -1, 1
Let z(r) be the third derivative of 3*r**5/10 - 47*r**4/30 + 8*r**3/15 - 3201*r**2. Let z(t) = 0. Calculate t.
4/45, 2
Let y = -7463/7656 + 805/696. Solve y*u**2 + 24/11*u - 26/11 = 0 for u.
-13, 1
Let l(z) be the third derivative of -7*z**5/24 + 305*z**4/12 + 175*z**3/12 + 368*z**2. Factor l(p).
-5*(p - 35)*(7*p + 1)/2
Let s(l) = l**3 + 20*l**2 + 18*l - 17. Let n be s(-19). Factor -2*y**n + 9 - 2*y**3 - 9 + 0*y**5 + 2*y**4 + 2*y**5.
2*y**2*(y - 1)*(y + 1)**2
Suppose 4*k + h - 21 = 0, 3*k - 6*k + 3*h + 27 = 0. Suppose -4*b - k = -3*y, 0 = 5*b + 2*y - 1 - 3. Factor 5/3*v**4 + 0*v**3 + 0*v**2 + 0 + b*v.
5*v**4/3
Let y(s) be the third derivative of -s**5/90 + 1771*s**4/9 - 12545764*s**3/9 - 89*s**2 - 4. Determine o so that y(o) = 0.
3542
Let v be (2/8)/((-550)/(-600))*(-12)/(-18). Factor 0 + v*w**3 - 12/11*w**2 + 0*w + 2/11*w**4.
2*w**2*(w - 2)*(w + 3)/11
Let a be (-38)/(-14) - (-14)/245*5. Suppose -6*b = q - a*b - 3, 3 = q + 5*b. Find t, given that 16/7 + 12/7*t**2 - 2/7*t**q - 24/7*t = 0.
2
Let c be (-36594)/30 + (1 + 2)/(-15). Let k = c - -1222. What is h in 0 - h**3 + 3/5*h**k + 1/5*h**4 + 9/5*h = 0?
-1, 0, 3
Let i = -11334167/11 + 1031481. Let u = i - 1102. Find y, given that 36/11*y + 162/11 + u*y**2 = 0.
-9
Let b be (1 - 7 - (0 - 3))*5. Let k be ((-8)/5)/(6/b). Factor -2*q**2 - 1685*q**4 - 7*q**2 + 1682*q**k + 9*q**3 + 3*q.
-3*q*(q - 1)**3
Let c(i) be the first derivative of -i**6/40 + 7*i**5/30 - i**4/3 - 29*i**2/2 + 88. Let w(r) be the second derivative of c(r). Factor w(g).
-g*(g - 4)*(3*g - 2)
Let k be (101/(-2))/(75/50). Let d = k + 35. Determine i, given that -4/3*i**2 - d*i**3 + 0 + 0*i = 0.
-1, 0
Let g(v) be the third derivative of -v**5/12 + 805*v**4/3 - 1036840*v**3/3 - 1890*v**2. Factor g(m).
-5*(m - 644)**2
Let b(q) = -q + 34. Let c be b(29). Factor -302*w**2 + c*w**4 + 148*w**2 - 45 + 30*w**3 - 30*w + 194*w**2.
5*(w - 1)*(w + 1)*(w + 3)**2
Let y(v) = -5*v**2 + v + 7. Let l(b) = -b**2 + b + 1. Let t(x) = 3*l(x) - y(x). Let r(h) = h - 1. Let i(c) = -2*r(c) - t(c). Determine j, given that i(j) = 0.
-3, 1
Let i = 3147 - 3147. Let d(t) be the first derivative of 2/7*t**3 - 9/28*t**4 + 1/14*t**6