*t. Determine q, given that j(q) = 0.
-10, 2/3, 1, 2
Suppose -x - 13 = -16. Suppose 0*q + 30 = 5*c + q, 0 = x*c + 3*q - 18. Determine t, given that c*t**2 + 6*t - t**4 - 22*t + 8*t + 3 + 0*t = 0.
-3, 1
Find u such that -2896*u - 2*u**4 - 380*u**3 - u**4 - 1258*u**2 - 1440 - u**4 - 574*u**2 = 0.
-90, -2, -1
Let m(w) = w**2 + 2*w. Suppose 0 = -6*p - 84 + 90. Let f(v) = 125*v**2 + 52*v + 4. Let s(a) = p*f(a) - 4*m(a). Determine q so that s(q) = 0.
-2/11
Suppose 16 = 4*j - 4*m, -5*j + 3*m + 2 = -14. Find p such that -4*p**5 - 1361*p**2 - 12*p**3 + 14*p**4 - 2*p**4 + 1365*p**j = 0.
0, 1
Let z(y) be the third derivative of 2*y**7/105 - y**6/3 + 13*y**5/15 + 4*y**4 + 1406*y**2. Solve z(s) = 0 for s.
-1, 0, 3, 8
Let n be ((-230)/69*(-18)/(-112))/((-14)/112). Factor n - 2/7*u**2 - 4*u.
-2*(u - 1)*(u + 15)/7
Let o(s) = -3*s**2 + 2. Let m(i) be the second derivative of -7*i**4/12 + 5*i**2/2 + 15*i. Let x be -1 + 0 - 0 - -6. Let g(r) = x*o(r) - 2*m(r). Factor g(p).
-p**2
Factor 156*i**3 + 51483/5 + 49914/5*i**2 - 20436*i + 3/5*i**4.
3*(i - 1)**2*(i + 131)**2/5
Let z(q) = -q**2 + 4. Let t = 370 + -368. Let n be z(t). Factor n*y**2 + 0*y + 0 - 2/11*y**3.
-2*y**3/11
Let b(r) be the third derivative of -r**7/105 + 17*r**6/360 - r**5/12 + r**4/24 + r**3/18 - 45*r**2 - 7*r. Factor b(h).
-(h - 1)**3*(6*h + 1)/3
Let t(p) be the second derivative of 2*p**6/45 - 23*p**5/15 + 56*p**4/3 - 88*p**3 - 198*p. What is n in t(n) = 0?
0, 6, 11
Let c be 11/((-275)/(-40))*15/2. Suppose -m + 0 = 3*b + 4, -b = -3*m - c. Factor 3/5*s**3 - 3/5*s + 0 + b*s**2.
3*s*(s - 1)*(s + 1)/5
Let s(f) be the third derivative of f**5/120 + 37*f**4/24 - 77*f**3/4 - 991*f**2. Factor s(i).
(i - 3)*(i + 77)/2
Let j(c) be the third derivative of -c**5/240 - 17*c**4/48 - 91*c**3/8 + 4*c**2 + 64*c - 2. Factor j(t).
-(t + 13)*(t + 21)/4
Let b(i) = -10*i**2 + 14*i + 5. Let j be b(7). Let u = j - -390. Let 4 - 1/2*f**4 - 5/2*f**3 + 2*f - u*f**2 = 0. Calculate f.
-2, 1
Let g(a) be the second derivative of 0*a**2 - 2/15*a**6 - 9*a + 2*a**3 + 1/3*a**4 + 0 - 3/5*a**5. Factor g(d).
-4*d*(d - 1)*(d + 1)*(d + 3)
Find f, given that -44/5*f**2 + 42/5*f**3 + 4/5 - 82/5*f = 0.
-1, 1/21, 2
Suppose l - 4*q - 9 = -25, -l + 2*q - 6 = 0. Let t be (-3 + l)*(-9 + 10). Solve t + 1/4*b**3 + 2*b + 5/4*b**2 = 0 for b.
-2, -1
What is n in 4/5*n**5 + 0 + 0*n - 144/5*n**3 - 12/5*n**4 - 128/5*n**2 = 0?
-4, -1, 0, 8
Let l = -18218 + 163970/9. Factor -10/9*i**2 - l*i + 0 - 2/9*i**3.
-2*i*(i + 1)*(i + 4)/9
Suppose -532546*c + 532548*c = 2. Factor -1/3*r**2 + 2/3*r + c.
-(r - 3)*(r + 1)/3
Let k(x) be the third derivative of x**8/112 + 19*x**7/35 + 101*x**6/8 + 657*x**5/5 + 486*x**4 + 864*x**3 - 118*x**2 - 5. Factor k(i).
3*(i + 1)**2*(i + 12)**3
Let w(p) be the second derivative of 3/110*p**5 + 1/231*p**7 + 2/33*p**4 - 92*p - 4/165*p**6 - 1 - 4/33*p**3 + 0*p**2. Let w(n) = 0. Calculate n.
-1, 0, 1, 2
Suppose -8277 = -21*f - 2922. Let p be f/33 + 0 + -7. Determine q so that -p*q**2 + 8/11*q - 2/11*q**3 + 0 + 2/11*q**4 = 0.
-2, 0, 1, 2
Solve -1/2*k**2 - 131/2*k + 270 = 0.
-135, 4
Let 0 + 1/9*l**3 - 29/3*l - 26/9*l**2 = 0. Calculate l.
-3, 0, 29
Let d(i) = 5*i**3 + 94*i**2 + 292*i - 1000. Let c be 4/12 - 13/3. Let w(g) = 20*g**3 + 375*g**2 + 1170*g - 4000. Let f(b) = c*w(b) + 15*d(b). Factor f(u).
-5*(u - 2)*(u + 10)**2
Find a such that 354/5*a**3 + 0 - 1232/5*a**2 + 1568/5*a + 2/5*a**5 - 44/5*a**4 = 0.
0, 4, 7
Let l(v) be the third derivative of -v**7/560 - v**6/48 + v**5/80 + 5*v**4/16 - 209*v**3/6 + 30*v**2 - 4. Let x(g) be the first derivative of l(g). Factor x(b).
-3*(b - 1)*(b + 1)*(b + 5)/2
Let g = -425 - -425. Suppose 4*a = -4*s + a - 1, g = -5*s + a + 13. Factor 12/7 - s*b**2 - 38/7*b.
-2*(b + 3)*(7*b - 2)/7
Let a(b) be the third derivative of b**6/40 - 2139*b**5/20 + 6559*b**2. Factor a(t).
3*t**2*(t - 2139)
Let g(j) = j - 6. Let x be g(7). Let k(n) = -7 - n + 4 - 3*n**2 - n - x. Let r(z) = 4*z**2 + z + 4. Let t(q) = 3*k(q) + 2*r(q). Determine p so that t(p) = 0.
-2
Suppose -2*p - 21 = 2*t - 15, t + 4*p = 0. Let f be t + ((-52)/20 - -7). Factor -f*z**4 - 2/15*z**2 + 0 + 0*z - 2/15*z**5 - 2/5*z**3.
-2*z**2*(z + 1)**3/15
Suppose -11*x = 4*x - 270. Determine m so that -2*m + 2*m**2 - x + 15 - 9 = 0.
-2, 3
Let i = 7487 + -15925/2. Let m = -468 - i. Determine f, given that -m*f**3 - 21/2*f**2 - 9/2*f - 3/2*f**4 + 0 = 0.
-3, -1, 0
Let o(a) be the second derivative of -5*a**7/42 - 34*a**6/3 - 133*a**5/4 - 55*a**4/2 - 3*a - 11. Determine j so that o(j) = 0.
-66, -1, 0
Let c(w) be the second derivative of 7*w**5/40 + 339*w**4/8 + 145*w**3/6 - 682*w - 2. Factor c(j).
j*(j + 145)*(7*j + 2)/2
Let j(n) be the second derivative of n**6/10 + 129*n**5/20 - 49*n**4/4 - 223*n**3/2 - 198*n**2 + 4877*n. Factor j(k).
3*(k - 3)*(k + 1)**2*(k + 44)
Let y(w) be the first derivative of 1/21*w**6 + 71 + 0*w - 1088/21*w**3 + 64/35*w**5 + 289/7*w**2 + 111/7*w**4. Solve y(n) = 0.
-17, 0, 1
Let k = -159 + 162. Let g = -5549 + 5549. Determine s so that -2/11*s**2 + 2/11*s**5 - 6/11*s**4 + g*s + 0 + 6/11*s**k = 0.
0, 1
Factor 451*k + 12284*k**2 - 9394*k**2 - 123*k + 953*k + 975*k**3 + 5*k**4 + 639*k.
5*k*(k + 1)*(k + 2)*(k + 192)
Suppose 3*w = -68 + 26. Let m be ((-24)/28*w/(-10))/(-3). Let -8/5 - 6/5*r + m*r**2 = 0. Calculate r.
-1, 4
Factor -24/7 - 8/7*i + 2/7*i**2.
2*(i - 6)*(i + 2)/7
Let w(s) be the second derivative of -23*s + 4 + 9/80*s**5 + 1/40*s**6 - 3/4*s**2 - 3/8*s**3 + 1/16*s**4. Factor w(u).
3*(u - 1)*(u + 1)**2*(u + 2)/4
Factor 0*j + 45*j**2 + 0 + 3/2*j**3.
3*j**2*(j + 30)/2
Let y be -1 + -17 + (-19397)/(-1071). Let m(s) be the first derivative of 1/3*s**2 - 11 + y*s**3 - s. Determine l, given that m(l) = 0.
-3, 1
Let m(f) be the first derivative of -2*f**3/3 + 149*f**2 - 1716*f - 1708. Find j such that m(j) = 0.
6, 143
Let o = 354 + -351. Let j be -1*o - (-138)/23. Solve g**j + 1 - 1/4*g**4 - 3/4*g**2 - g = 0.
-1, 1, 2
Let d(p) = -9*p**2 - 329*p - 487. Let i(j) = -2*j**2 + j + 37. Let r(q) = 4*d(q) - 20*i(q). Factor r(m).
4*(m - 336)*(m + 2)
Let k = 1055 + -1736. Let x = k + 683. What is z in 4/9*z**4 + 0 + 0*z - 4/3*z**3 + 0*z**x = 0?
0, 3
Let z(b) = -4*b**3 - 7*b**2 - 7*b - 3. Let m(j) = -29*j**2 - 4*j**3 + 3 - 29*j - 14*j**3 - 16 + j**3. Let f(u) = 6*m(u) - 26*z(u). Factor f(o).
2*o*(o + 2)**2
Let s(t) be the first derivative of 2*t**3/9 + 15*t**2 - 456*t - 10596. Solve s(l) = 0.
-57, 12
Let y be 2/544*878 + 106 + -109. Let j = 6/17 - y. Find n, given that j*n**3 + 0 + 0*n + 3/8*n**2 = 0.
-3, 0
Let c(l) be the first derivative of -36*l**2 - 22 - l**3 + 9/2*l**4 - 3/5*l**5 - 48*l. Factor c(k).
-3*(k - 4)**2*(k + 1)**2
Let x = 18395/798 + -220/399. Find y such that 0 - 30*y + x*y**3 - 3/2*y**5 - 3*y**4 - 6*y**2 = 0.
-5, -1, 0, 2
Let h be (-43 - -13)*(-6)/4. Let g = h - 35. Let -20 + 8*q + 6*q**2 - q**2 - 3*q + g*q = 0. Calculate q.
-4, 1
Let i(f) = -f**3 + 19*f**2 + 5*f + 35. Let v be i(19). Factor -18*d**4 + 132 - 3*d**3 + 18*d**2 - 262 + v + 3*d**5.
3*d**2*(d - 6)*(d - 1)*(d + 1)
Let a be (-9)/((-99)/(-2))*(-66)/24*4. Factor 2/5 - 2/15*q**a - 4/15*q.
-2*(q - 1)*(q + 3)/15
Let d(v) be the third derivative of -v**5/12 + 5*v**4/24 + 75*v**3 + 961*v**2. Factor d(x).
-5*(x - 10)*(x + 9)
Let l(m) be the second derivative of -1/150*m**6 + 0*m**2 - 4/15*m**4 - 2/5*m**3 - 7/100*m**5 - 2*m - 4. Factor l(d).
-d*(d + 2)**2*(d + 3)/5
Let b be (-1232)/(-10)*(-5200)/(-17160). Factor 146/3*z**2 + 32/3 + 86/3*z**3 + b*z + 2/3*z**5 + 22/3*z**4.
2*(z + 1)**3*(z + 4)**2/3
Let u be (-2 - (-10)/6)*-9*1. Suppose u*j - 4 = 2. Determine y, given that -4*y**2 - 243*y**3 + j*y**5 + 8*y**4 + 2*y + 12*y**2 + 255*y**3 = 0.
-1, 0
Let p = -41639/21 - -416453/210. Factor -p*q - 1/10*q**4 + 0 + 1/10*q**2 + 3/10*q**3.
-q*(q - 3)*(q - 1)*(q + 1)/10
Let o be 17 - 17 - (73 + 3). Let b be 57/o + 46/8 - 3. Solve -272/7*p**b - 32/7 - 208/7*p**3 - 10/7*p**5 - 160/7*p - 74/7*p**4 = 0 for p.
-2, -1, -2/5
Let f be 4*(3/(-24)*18 + 4). Factor -8*p**3 - 24 + 90*p**2 - 88*p**2 - p**3 + 16*p + f*p**3.
-2*(p - 2)**2*(p + 3)
Factor -176*q - 2*q**2 + 139 - 51 + 90.
-2*(q - 1)*(q + 89)
Let n(j) be the second derivative of j**4/102 - 251*j**3/51 + 498*j**2/17 - 2138*j. Factor n(r).
2*(r - 249)*(r - 2)/17
Let l be (54/(-21))/1*28/(-3). Let h be (54/(-72))/((-10)/l). Factor 6/5*q + 1/5*q**