= 0 for p.
-1, 1, 3
Factor 544/11*f + 2/11*f**3 + 6*f**2 + 840/11.
2*(f + 2)*(f + 10)*(f + 21)/11
Let a(u) = u**3 + 15*u**2 + 9*u - 25. Let i(d) = 16*d**2 + 8*d - 24. Suppose 22 - 6 = 4*v. Let r(o) = v*a(o) - 5*i(o). Factor r(m).
4*(m - 5)*(m - 1)*(m + 1)
Let o(d) = d**2 - 19*d - 89. Let z be o(23). Factor -85*i**2 + 4*i**3 + 5*i**4 + 75*i**2 + 0*i**4 + i**z.
5*i**2*(i - 1)*(i + 2)
Let h(k) be the first derivative of -2*k**3/7 - 107*k**2/7 - 20*k - 1040. Factor h(t).
-2*(t + 35)*(3*t + 2)/7
Factor 0 + 0*x - 36*x**3 + 44/5*x**2.
-4*x**2*(45*x - 11)/5
Let b be (60/(-168)*105/(-90))/((-5)/(-3)). Let -230*r**2 - 128 + 241/4*r**3 + b*r**5 - 13/2*r**4 + 304*r = 0. What is r?
1, 8
What is s in -1296/7 - 3/7*s**3 + 9*s**2 - 216/7*s = 0?
-3, 12
Factor s**5 + 23*s + 0*s**3 - s**3 + 4*s - 5*s**3 - 6*s**3 + 18*s**2 - 2*s**4.
s*(s - 3)**2*(s + 1)*(s + 3)
Let u be 57/(-15) + 4 + 54/30. Factor 20 - 40*x**u - 35*x**3 + 10*x**2 + 60*x - 5*x**2 - 10*x**2.
-5*(x - 1)*(x + 2)*(7*x + 2)
Let w(f) = f**2 - 21*f + 93. Let v be w(15). Factor v*b**2 + 2564 - 210*b + 1989 - 878.
3*(b - 35)**2
Let p(a) = -a**5 + a**4 + a**3 + a**2 - a - 1. Let z(k) = 9*k**5 - 24*k**4 + 21*k**3 - 14*k**2 + 4*k + 4. Let w(g) = 4*p(g) + z(g). Factor w(r).
5*r**2*(r - 2)*(r - 1)**2
Let t(b) be the third derivative of b**8/3528 + 2*b**7/441 + b**6/252 - 4*b**5/63 - b**4/7 - 762*b**2. Determine i, given that t(i) = 0.
-9, -2, -1, 0, 2
Suppose 4*z**4 - 3152453*z**2 + 0*z**4 + 98565200*z + 3484*z**3 + 4165133*z**2 + 97556000 = 0. Calculate z.
-290, -1
Let s(j) be the first derivative of 3/4*j**4 - 1/6*j**6 - 7/3*j**3 + 0*j + 3/5*j**5 - 3*j**2 - 102. Factor s(g).
-g*(g - 3)*(g - 2)*(g + 1)**2
Let o = 332 + -359. Let b be (-282)/658 + o/(-14). Factor -b*w**3 - 24*w + 0 + 12*w**2.
-3*w*(w - 4)**2/2
Suppose 10*k - 12 = 7*k. Factor 113 - 2*j + 4*j**3 - 113 + k*j**2 - 6*j.
4*j*(j - 1)*(j + 2)
Let w(s) be the second derivative of -1/126*s**4 - 3/7*s**2 + 70 + s - 10/63*s**3. Factor w(y).
-2*(y + 1)*(y + 9)/21
Let p(t) be the third derivative of -t**5/36 - 35*t**4/6 + 425*t**3/18 - 496*t**2. Suppose p(j) = 0. What is j?
-85, 1
Factor 131/2*b + 1/8*b**2 - 525/8.
(b - 1)*(b + 525)/8
Let t(p) be the first derivative of 32/13*p - 24/13*p**2 + 6/13*p**3 - 80 - 1/26*p**4. Find s such that t(s) = 0.
1, 4
Factor -37/5*f - 1/5*f**5 + 6/5*f**3 + 22/5*f**2 - f**4 + 3.
-(f - 1)**3*(f + 3)*(f + 5)/5
Let w(a) be the second derivative of a**8/2240 + a**7/504 - 11*a**6/720 + a**5/40 - 13*a**4/2 - 92*a. Let k(t) be the third derivative of w(t). Solve k(d) = 0.
-3, 1/3, 1
Factor 1/10*h**2 - 60*h + 9000.
(h - 300)**2/10
Let t(f) be the second derivative of 7*f**4/72 - 3*f**3/8 - f**2/12 + 988*f. Factor t(p).
(p - 2)*(14*p + 1)/12
Let -1/5*s**5 - 6631/5*s**2 - 1079/5*s**3 + 4332/5*s - 57/5*s**4 + 27436/5 = 0. Calculate s.
-19, -2, 2
Let v be ((-9)/2)/(-1 - 2). Suppose 5*y + 9 = -3*p, -44*p + 39*p - y + 7 = 0. Factor v*d**p + 6 - 6*d.
3*(d - 2)**2/2
Let k be (-6)/(-189)*16826/1074 + (56/27 - 2). Let 4/7*b**4 - 8/7*b**2 + 0 - k*b**3 + 0*b = 0. What is b?
-1, 0, 2
Let h = 7056395/19 - 371389. Solve 70/19 + h*u - 2/19*u**2 = 0 for u.
-5, 7
Let d = 133 + -152. Let m(b) = -4*b - 74. Let i be m(d). Find t, given that 0 + 21/4*t**4 + 0*t - 3/4*t**i - 9/8*t**3 = 0.
-2/7, 0, 1/2
Let z(s) be the first derivative of 11*s**6/6 + 133*s**5/15 + 34*s**4/3 + 4*s**3/9 - 1452. Let z(i) = 0. What is i?
-2, -1/33, 0
Let q(l) be the second derivative of -7*l**6/6 + 23*l**5/4 - 25*l**4/3 + 10*l**3/3 + 141*l. Factor q(s).
-5*s*(s - 2)*(s - 1)*(7*s - 2)
Let r be 153 - 153 - (-1)/(-3 + (-185)/(-40)). Factor r - 14/13*q**2 + 10/13*q**3 - 16/13*q.
2*(q - 2)*(q + 1)*(5*q - 2)/13
Let o(x) = -x**3 + 10*x**2 - 9*x + 2. Let r be o(9). Suppose -5*m - 28*n + 25*n + 11 = 0, 4*n - 11 = -3*m. Factor 2*d**r - 16 + m + 7 + 6.
2*(d - 1)*(d + 1)
Suppose 48*o - 255 = 33*o. Factor -59 - 3*c - o + 2*c**2 - 31*c.
2*(c - 19)*(c + 2)
Let h(v) = -4*v**3 - 9*v**2 - 3*v - 2. Let n(x) = 16*x**3 + 37*x**2 + 12*x + 9. Let w be 24/44 + 204/(-11). Let p(u) = w*h(u) - 4*n(u). Factor p(j).
2*j*(j + 1)*(4*j + 3)
Suppose -3 - 21 = -24*j. Suppose -7 - j = -2*g. Factor 14*d + 23/2*d**2 + 6 + g*d**3 + 1/2*d**4.
(d + 1)*(d + 2)**2*(d + 3)/2
Let x(w) = -2*w**2 - 7*w. Let j be x(-3). Suppose 0*f = 3*f - j*o + 6, 5*o = 20. Solve 12*r**2 + 24*r + r**2 + 32 - 5*r**f - 4*r**2 = 0.
-4, -2
Let u be 2/(-6) - (-10)/3. Let z be ((-21)/28)/(13/8 - 2). Factor j**3 + 2*j**2 + 6 + 0*j**u - 15*j + 4*j + 2*j**z.
(j - 1)**2*(j + 6)
Suppose -87*m = -16*m + 29*m - 554 - 46. Factor 26/5 + 54/5*d + m*d**2 + 2/5*d**3.
2*(d + 1)**2*(d + 13)/5
Let p(w) be the second derivative of -1/24*w**3 + 1/80*w**5 + 11 + 5/8*w**2 - 5/48*w**4 - 4*w. Factor p(d).
(d - 5)*(d - 1)*(d + 1)/4
Solve -x**2 - 1884 + 205*x - 693*x - 667*x + 4*x**2 + 219*x = 0 for x.
-2, 314
Let z(b) be the third derivative of 3*b**6/16 + 16*b**5/3 - 325*b**4/12 - 80*b**3/3 - 60*b**2 + 6*b. Factor z(v).
5*(v - 2)*(v + 16)*(9*v + 2)/2
Factor -19*c**2 - 549*c - 718 + 746 - 60*c**2.
-(c + 7)*(79*c - 4)
What is m in -1/2*m**3 - 6 - 9/2*m**2 - 10*m = 0?
-6, -2, -1
Let l(d) be the first derivative of -d**6/3 - 16*d**5/5 + 33*d**4/2 + 799. Let l(n) = 0. What is n?
-11, 0, 3
Let g(w) = -6*w**2 + 1347*w + 90. Let m(h) = 3*h**2 - 674*h - 42. Let n(o) = -7*g(o) - 15*m(o). Let n(d) = 0. Calculate d.
0, 227
Let n(x) = x**2 + 55*x + 24. Let y be ((-17)/(-2) + -9)/(3/78). Let p(v) = 3*v**2 + 110*v + 42. Let c(r) = y*n(r) + 6*p(r). Let c(q) = 0. What is q?
-1, 12
Let z(i) = 432*i**3 - 1220*i**2 + 795*i - 150. Let v(h) = 2160*h**3 - 6098*h**2 + 3975*h - 750. Let d(n) = 2*v(n) - 11*z(n). Solve d(f) = 0 for f.
5/12, 2
Suppose 1923 = 40*x - 717. Factor -42*z - x + 3*z + 223*z**2 - 226*z**2.
-3*(z + 2)*(z + 11)
Let n(q) be the first derivative of 1/24*q**4 + 1/6*q**3 + 0*q + 40 + 0*q**2. What is z in n(z) = 0?
-3, 0
Factor -32/7 + 52/7*b**2 - 36/7*b**3 + 8*b.
-4*(b - 2)*(b + 1)*(9*b - 4)/7
Let t(r) = -r**3 - r**2 + 5*r + 2. Let i = 49 + -49. Let z be t(i). Determine g, given that 6*g**z + 34*g - 32 - 34*g - g**3 = 0.
-2, 4
Let l(z) = z - 16. Let i be l(-16). Let x be (4/i)/(-1)*4/1. Factor -1/4*k + 1/2*k**2 - x + 1/4*k**3.
(k - 1)*(k + 1)*(k + 2)/4
Let g(m) = -2*m**2 + 57*m - 128. Let d be g(26). Let s be (4 - (-143)/(-39)) + 14/30. Factor 4/5*u**5 + 0*u + 4/5*u**d - s*u**3 + 0 - 4/5*u**4.
4*u**2*(u - 1)**2*(u + 1)/5
Let f(l) be the third derivative of -l**6/480 - 43*l**5/120 - 161*l**4/8 - 147*l**3 + 3*l**2 - 170*l. Solve f(q) = 0 for q.
-42, -2
Let q(i) be the first derivative of -49*i**6/48 - 133*i**5/40 - 53*i**4/16 - 5*i**3/12 + 11*i**2/16 - i/8 - 15. Factor q(v).
-(v + 1)**3*(7*v - 1)**2/8
Let f(p) be the third derivative of p**8/15960 + p**7/7980 - p**6/855 - p**5/285 - 53*p**3/6 + 5*p**2. Let c(t) be the first derivative of f(t). Factor c(d).
2*d*(d - 2)*(d + 1)*(d + 2)/19
Let a(g) be the second derivative of 55/96*g**4 + 13/8*g**2 + 3*g + 79/48*g**3 + 1 + 1/80*g**5. Factor a(k).
(k + 1)*(k + 26)*(2*k + 1)/8
Let b be 2229 - ((-8)/1 + 3). Factor -2254*v**4 - 36*v**2 + b*v**4 + 4*v + 4 - 52*v**3 + 4.
-4*(v + 1)**3*(5*v - 2)
Suppose 2/5*p**2 + 444*p + 123210 = 0. What is p?
-555
Let u(x) be the third derivative of x**7/42 - 5*x**6/12 - 13*x**5/4 + 310*x**4/3 - 1120*x**3/3 - 655*x**2. Determine f, given that u(f) = 0.
-7, 1, 8
Let a(m) = -1. Let i(j) = 4*j**2 + 24*j + 56. Let w = -56 + 55. Let f(t) = w*i(t) - 20*a(t). Solve f(c) = 0 for c.
-3
What is g in -5*g**2 - 123866*g - 19*g**2 + 0*g**3 + 5*g**3 - 2*g**3 + 123671*g = 0?
-5, 0, 13
Let 324*t + 150724*t**3 - 97 - 150730*t**3 - 92 + 111*t**2 = 0. What is t?
-3, 1/2, 21
Let b = -167 + 194. Let a be (b - 23) + -4 + 2. Solve 0*y - 2/7 + 2/7*y**a = 0.
-1, 1
Let n(j) = 2*j**2 + 198*j - 597. Let u be n(3). Let h(g) be the first derivative of -u - 2*g**5 + 0*g**4 + 0*g + 5/2*g**2 + 10/3*g**3 - 5/6*g**6. Factor h(w).
-5*w*(w - 1)*(w + 1)**3
Let q be -6 - -33 - (-109590)/(-4290). Find s such that -q*s + 18/11*s**2 + 0 - 2/11*s**3 = 0.
0, 1, 8
Let j(h) be the second derivative of -h**7/42 - 11*h**6/24 - 19*h**5/12 - 15*h**4/8 + 7*h**2 + 97*h. Let s(y) be the first derivative of j(y). Factor s(l).
-5*l*(l + 1)**2*(l + 9)
Suppose -6*w - 7*h + 3*h + 296 = 0, 0 = -2*w + 5*h + 86. Let v(o) be the first derivative of -1/2*o*