 - 7*f**q + 37*f**3 - 30*f**4 + 3*f**3 + 30*f**2.
5*f*(f - 3)**2*(f - 1)*(f + 1)
Factor -2*t**3 - 10993 + 130*t**2 + 62369 + 3837*t - 10493*t + 154*t**2 - 2*t**3.
-4*(t - 26)**2*(t - 19)
Factor -20/3*c - 182/3 - 1/6*c**2.
-(c + 14)*(c + 26)/6
Let z(g) be the first derivative of -g**4/18 + 4*g**3/9 - 5*g**2/9 - 2027. Factor z(j).
-2*j*(j - 5)*(j - 1)/9
Suppose -63*w = -62*w - 3. Solve -23287*v - v**2 + 23287*v - 5*v**3 - w*v**4 + v**3 = 0 for v.
-1, -1/3, 0
Let b(c) be the third derivative of 0*c + 0*c**3 + 1/180*c**6 + 11/225*c**5 - 59*c**2 + 0 - 1/1575*c**7 + 4/45*c**4. Solve b(s) = 0 for s.
-2, -1, 0, 8
Let y be 25908/144 + (-1)/(-12). Let g be (-29)/(-3) - y/20. Let 0*d + g*d**2 + 0 = 0. Calculate d.
0
Let y = -2057/828 - -181/69. Let i(m) be the third derivative of -y*m**4 - 1/90*m**5 + 0*m + 0 - 6*m**2 + 0*m**3. Let i(b) = 0. Calculate b.
-5, 0
Suppose 5*f + 10 - 35 = -5*o, -5*o + 10 = 0. Let h be 11 + (5/5 - 3). Factor -36*g**2 - 241 - h*g**4 + 241 - 12*g - 33*g**f.
-3*g*(g + 1)*(g + 2)*(3*g + 2)
Let b(w) be the first derivative of 12*w**3 + 66/7*w**2 - 14*w**4 - 54 + 8/7*w. Find g, given that b(g) = 0.
-2/7, -1/14, 1
Let v be 6*((-21)/(-2) - 6). Let o be (9/16)/((v/(-12))/(-3)). Determine z so that -3/8*z**2 - o - 9/8*z = 0.
-2, -1
Find u such that 0 + 2/7*u**4 + 64/7*u - 4/7*u**3 - 32/7*u**2 = 0.
-4, 0, 2, 4
Let u(v) = -443*v**3 + 1775*v**2 - 1700*v - 23. Let p(z) = -664*z**3 + 2660*z**2 - 2552*z - 34. Let n(l) = -7*p(l) + 10*u(l). Determine w so that n(w) = 0.
-1/109, 2
Let x(y) = -4725*y**3 - 24435*y**2 - 2725*y + 6130. Let a(w) = -175*w**3 - 905*w**2 - 101*w + 227. Let s(f) = 55*a(f) - 2*x(f). Determine r so that s(r) = 0.
-5, -3/5, 3/7
Let t be (-4)/12*0*-4*(-9)/(-108). Factor 0*j + 3/5*j**4 - 1/5*j**2 + t - 2/5*j**5 + 0*j**3.
-j**2*(j - 1)**2*(2*j + 1)/5
Let j(z) be the second derivative of -z**6/15 - 802*z**5/5 - 322403*z**4/3 - 428268*z**3 - 641601*z**2 - 81*z - 22. Suppose j(p) = 0. What is p?
-801, -1
Let q(k) be the third derivative of 8/15*k**3 - 43*k**2 - 1/300*k**5 + 0*k + 0 - 1/8*k**4. Factor q(i).
-(i - 1)*(i + 16)/5
Let q = 373 - 366. Suppose 5*o - 24 = -q*o. Solve -4/3*s**3 - 20/3*s - 8/3 - 16/3*s**o = 0.
-2, -1
Suppose -22 = 5*l - 4*b, 13*b - 17*b = 4*l - 40. Solve -1/4*q + 0 + 1/4*q**3 - 3/8*q**4 + 3/8*q**l = 0.
-1, 0, 2/3, 1
Suppose 18/5 - 6/5*r + 4/5*r**4 - 22/5*r**2 + 6/5*r**3 = 0. What is r?
-3, -1, 1, 3/2
Let v = 57 - 53. Let -4*k**3 + 3*k**3 - 3*k**3 - v*k**2 + 0*k**2 = 0. Calculate k.
-1, 0
Let f(s) = -s**2 + s. Let z(p) = 9*p + p**2 - 67*p + 9*p + 2*p**2 - 242. Let w(h) = -10*f(h) - 2*z(h). Factor w(o).
4*(o + 11)**2
Let s(f) be the third derivative of -2/45*f**5 - f + 26/9*f**3 + 0 - 43*f**2 + 25/18*f**4. Let s(v) = 0. What is v?
-1/2, 13
Let l(d) be the third derivative of -29*d**8/26880 - d**7/3360 - d**5/30 - 17*d**3/6 + 152*d**2. Let z(s) be the third derivative of l(s). Factor z(j).
-3*j*(29*j + 2)/4
Let o(h) = -7*h**2 - 31*h + 3. Let k(n) = -2*n**2 - n + 1. Let p(q) = -6*k(q) + 2*o(q). Let m(b) = 3*b**2 + 112*b. Let f(g) = -2*m(g) - 5*p(g). Factor f(r).
4*r*(r + 14)
Let y(k) = 5*k**2 - 25*k + 45. Let h(f) = -f - 1. Let s be (10/6)/((-7)/21). Let p(v) = s*h(v) - y(v). Solve p(m) = 0 for m.
2, 4
Solve 139 - 84*y**3 - 14 - 45 + 1768*y**2 - 1764*y = 0.
1/21, 1, 20
Let a(z) be the third derivative of -2*z**7/21 + 43*z**6/24 - 11*z**5/2 + 45*z**4/8 - 44*z**2 - z - 6. Suppose a(x) = 0. What is x?
0, 3/4, 1, 9
Factor 496/7*a + 2/7*a**2 + 984/7.
2*(a + 2)*(a + 246)/7
Let j(m) = 4*m - 8*m - 5*m**2 + 24 + 23*m. Let w = -783 + 789. Let a(b) = 10*b**2 - 37*b - 47. Let s(l) = w*a(l) + 13*j(l). Let s(x) = 0. Calculate x.
-1, 6
Factor 3*f**2 - 50/3*f + 0.
f*(9*f - 50)/3
What is h in -24*h**3 - 35*h**3 + 4*h + 9*h**3 + 60*h**2 + 79*h**3 = 0?
-2, -2/29, 0
Let a = 54563/6 + -18185/2. Let x(u) be the first derivative of 8/5*u - 7 - a*u**3 + 14/5*u**2 - 4/5*u**4. Factor x(t).
-4*(t - 1)*(t + 2)*(4*t + 1)/5
Let w(y) = -40*y**3 - y**2 - 3*y - 1. Let m be w(-1). Let r = 42 - m. Factor -15*q - 5*q**2 + 2 + r + 2 + 15*q**3 + 0.
5*(q - 1)*(q + 1)*(3*q - 1)
Let m be (-22)/(-8) - (-17)/68. Let c be ((-2)/(-1) - m)/((-40)/168). Factor -36/5*o + c*o**2 - 12/5.
3*(o - 2)*(7*o + 2)/5
Let k(d) be the second derivative of 0 + 0*d**3 - 42*d - 1/345*d**6 + 1/69*d**4 + 0*d**2 - 1/230*d**5. Factor k(b).
-2*b**2*(b - 1)*(b + 2)/23
Let h be 1/(-10) + 108/(-520). Let f = h + 38/39. Factor 0 + f*i - 1/3*i**2.
-i*(i - 2)/3
Let m(x) = -x**4 - 13*x**3 + 46*x**2 - 56*x + 24. Let g(i) = 2*i**4 + 12*i**3 - 46*i**2 + 56*i - 24. Let a(s) = 3*g(s) + 4*m(s). Factor a(j).
2*(j - 3)*(j - 2)**2*(j - 1)
Solve -5*q**5 + 570 + 277*q**3 + 23*q**3 - 109*q**2 - 67*q**2 - 695*q - 74*q**2 + 80*q**4 = 0 for q.
-3, -2, 1, 19
Let w = 120 - 113. Let f be (1 + w/(-6))*4*-9. Factor 18*l**2 - 46*l**3 + f*l**4 + 8*l**4 - 6*l**2.
2*l**2*(l - 3)*(7*l - 2)
Let q be 6/(-20)*-2 - 2240/(-2100). Let n(a) be the second derivative of 0 + a**5 + 11*a - 25/12*a**4 + q*a**3 + 0*a**2 - 1/6*a**6. Factor n(l).
-5*l*(l - 2)*(l - 1)**2
Let o be -14 - (-850)/(-700)*-14. What is r in -4 - 19/5*r + 1/5*r**o + 2/5*r**2 = 0?
-5, -1, 4
Let v(a) be the first derivative of a**4/3 - 16*a**3/3 + 34*a**2/3 + 120*a + 1171. Factor v(i).
4*(i - 9)*(i - 5)*(i + 2)/3
Solve -268*n**3 + 309*n**2 - 70 - 552*n**2 - 278*n - 62*n**4 + 2*n**5 - 169*n**2 = 0 for n.
-1, 35
Let w(m) be the third derivative of 7/24*m**6 - 5/4*m**5 + 65/24*m**4 - 1/42*m**7 + 0*m + 0 + 109*m**2 - 10/3*m**3. Factor w(t).
-5*(t - 4)*(t - 1)**3
Let h be (-13)/(-4)*44/5. Let q = h - 866/35. Let -66/7*t**2 + 24/7*t - q*t**4 + 72/7*t**3 - 3/7 = 0. What is t?
1/3, 1
Let s(f) be the second derivative of 11*f**5/4 + 335*f**4/12 - 65*f**3 + 10545*f. Factor s(p).
5*p*(p - 1)*(11*p + 78)
Let f(j) be the first derivative of -2*j**5/5 - 13*j**4 + 18*j**3 - 378. Factor f(w).
-2*w**2*(w - 1)*(w + 27)
Let g be 7 - ((-85)/(-17))/((-11)/((-154)/35)). Let -16/3*d - 8/3*d**2 + 2/3*d**4 + 4*d**3 + 0 - 2/3*d**g = 0. Calculate d.
-2, -1, 0, 2
Let v be (-3)/(-24 + 10 + -16). Let b(o) be the second derivative of o + 0 - v*o**5 + 1/6*o**4 - 1/15*o**6 + 0*o**2 + 1/3*o**3. Factor b(j).
-2*j*(j - 1)*(j + 1)**2
Let o be (-1184)/(-2220)*((-4)/((-4)/(-1)) - -11). Determine s, given that -4/3 + 8/3*s**4 - 14/3*s + o*s**3 - 2*s**2 = 0.
-2, -1/2, 1
Let i(z) be the third derivative of 29*z**2 - 25/12*z**4 - 1/180*z**6 + 0*z - 29/6*z**3 - 1/6*z**5 + 0. Let c(o) be the first derivative of i(o). Factor c(t).
-2*(t + 5)**2
Let -82/15*l - 86/15*l**2 + 82/15*l**3 + 28/5 + 2/15*l**4 = 0. What is l?
-42, -1, 1
Let g(j) be the first derivative of 3*j**5/10 + 165*j**4/8 + 459*j**3 + 3240*j**2 + 5184*j - 2861. Suppose g(a) = 0. Calculate a.
-24, -6, -1
Let m(a) be the third derivative of 1/756*a**8 - 83*a**2 + 2/189*a**7 + 0*a**3 + 0*a**4 + 0 + 4/135*a**5 + 4/135*a**6 - 3*a. Solve m(q) = 0 for q.
-2, -1, 0
Suppose -50*f**3 + 85*f + 59*f - 502*f**2 + 128*f**2 - 870*f - 2*f**4 = 0. What is f?
-11, -3, 0
Let d(i) = i**2 - 19*i - 15. Let c be d(20). Let n(r) be the third derivative of 0 + 1/540*r**6 - 37*r**2 + 0*r + 0*r**4 - 4/27*r**3 + 1/90*r**c. Factor n(k).
2*(k - 1)*(k + 2)**2/9
Let d(v) be the first derivative of -2*v**3/3 + 22*v**2 - 242*v - 5092. Suppose d(t) = 0. What is t?
11
Solve 3/8*z**4 + 0 + 33/4*z**3 - 33/4*z - 3/8*z**2 = 0 for z.
-22, -1, 0, 1
Factor -201 - 539/2*h - 69*h**2 - 1/2*h**3.
-(h + 1)*(h + 3)*(h + 134)/2
Let q(y) = y**2 - 21*y + 65. Let f be q(10). Let p be ((-30)/f)/(16/6). Factor -p*i**2 + 0 + 0*i - 1/4*i**4 + 1/2*i**3.
-i**2*(i - 1)**2/4
Let z(w) be the third derivative of -1/420*w**6 + 2 + 5/84*w**4 - 5*w**2 + 1/7*w**3 + 1/210*w**5 + 0*w. Factor z(m).
-2*(m - 3)*(m + 1)**2/7
Let d(b) be the second derivative of -b**4/54 + 892*b**3/27 - 198916*b**2/9 + 369*b - 3. Factor d(z).
-2*(z - 446)**2/9
Let u(m) = -8*m**3 + 16*m**2 - 24*m + 12. Let c = -81 + 39. Let h = c + 38. Let q(v) = -9*v**3 + 16*v**2 - 25*v + 13. Let j(t) = h*q(t) + 5*u(t). Factor j(s).
-4*(s - 2)*(s - 1)**2
Let p(v) = 2*v**2 - 17820*v + 213556. Let x be p(12). Factor -2/19*u**3 - 2/19*u**2 + 0 + 2/19*u + 2/19*u**x.
2*u*(u - 1)**2*(u + 1)/19
Let x(s) be the second derivative of -s**7/2520 + 17*s**6/720 + 3*s**5/20 + s**4/3 - s**3/3 - s + 20. Let r(g) be the third derivative of x(g). Fact