 Let j(p) be the third derivative of 0*p**4 + 0*p**5 - 5*p**2 - 1/105*p**7 + 0*p + 0*p**3 + o*p**6 + 0. Factor j(m).
-2*m**4
Factor -99/5*s**3 - 3/5*s**4 - 93/5*s + 0 - 189/5*s**2.
-3*s*(s + 1)**2*(s + 31)/5
Let p(j) be the third derivative of -j**6/240 - 59*j**5/120 + 121*j**4/48 - 61*j**3/12 - 106*j**2. Factor p(x).
-(x - 1)**2*(x + 61)/2
Suppose -9*c = 3 - 21. Factor 4*r**3 - 7*r**2 + r**3 + 2*r**c.
5*r**2*(r - 1)
Factor -29*r - 3*r + 4*r**2 + 2981 - 2921.
4*(r - 5)*(r - 3)
Suppose -6*o + 13 + 5 = 0. Find d, given that d**3 + 9*d - 8 - 5*d**3 + o*d = 0.
-2, 1
Let x(p) be the second derivative of p**7/6300 + p**6/600 - 3*p**4/4 + 9*p. Let i(q) be the third derivative of x(q). What is m in i(m) = 0?
-3, 0
Let o(l) be the second derivative of -l**7/105 + l**6/15 + 3*l**5/25 - 15*l. Factor o(b).
-2*b**3*(b - 6)*(b + 1)/5
Let w(d) = 18*d**4 + 3*d**3 - 47*d**2 - 39*d. Let j(l) = -10*l**4 - 2*l**3 + 24*l**2 + 20*l. Let o(c) = -7*j(c) - 4*w(c). Find p, given that o(p) = 0.
-2, -1, 0, 4
Let p(y) = 36*y + 689. Let o be p(-19). Let 0*k**3 + 3/7*k**4 + 0*k**2 + 0*k + 0 - 3/7*k**o = 0. Calculate k.
0, 1
Let f(g) = -g**3 - 6*g**2 - 4*g + 9. Let k be f(-5). Suppose y**2 + k*y - 9 + 5 + 8 = 0. Calculate y.
-2
Suppose -3*s - 4 = v, -2*v = -5*s + 2*v + 16. Let h(i) be the second derivative of 23/39*i**3 + 5/78*i**4 - 10/13*i**2 + 3*i + s. Factor h(g).
2*(g + 5)*(5*g - 2)/13
Let k(w) be the first derivative of 0*w**3 + 28 + 3/14*w**2 - 1/28*w**4 - 2/7*w. Let k(b) = 0. What is b?
-2, 1
Solve -20*x**3 + 50*x + 5*x**4 + 433 - 15*x**2 - 217 - 176 = 0 for x.
-1, 2, 4
Let o = -56 + 109. Solve 0 - 3 - o*p + 29*p + 28*p - p**2 = 0 for p.
1, 3
Let g(d) = 10*d**3 + 145*d**2 - 260*d + 115. Let z(l) = -3*l**3 - 72*l**2 + 129*l - 58. Let p(h) = -2*g(h) - 5*z(h). Factor p(w).
-5*(w - 12)*(w - 1)**2
Let r(l) = -8*l**2 + 22*l - 55. Let j(t) = 3*t**2 - 9*t + 28. Let q(x) = 10*j(x) + 4*r(x). Let q(u) = 0. What is u?
-6, 5
Let r(y) be the second derivative of 2/7*y**3 + 0 + 0*y**2 - 2*y - 1/28*y**4. Solve r(m) = 0.
0, 4
Let 1/5*u**5 - 7/5*u**2 - u**4 + 0 + 2/5*u + 9/5*u**3 = 0. Calculate u.
0, 1, 2
Suppose -4*x + 12 = 2*d, 76 - 67 = 4*d + 3*x. Determine b, given that d + 2/11*b**2 + 2/11*b = 0.
-1, 0
Let y be ((-4704)/(-585))/(-4) + 2. Let r = 44/65 + y. Solve 2/3*i + r*i**5 + 0*i**4 + 0*i**2 + 0 - 4/3*i**3 = 0 for i.
-1, 0, 1
What is s in 1/4*s**3 + 1/4*s + 3/2 - s**2 = 0?
-1, 2, 3
Let u(p) be the third derivative of 1/8*p**4 + 0*p**5 + 0*p**3 + 41*p**2 + 0*p + 0 + 0*p**7 - 1/20*p**6 + 1/112*p**8. Factor u(i).
3*i*(i - 1)**2*(i + 1)**2
Let k be 18 + -4 - (6 - -6). Solve 0*x**k - 2/3*x**3 + 0 + 2/3*x = 0 for x.
-1, 0, 1
Suppose -1897*k = -1962*k + 325. Find o, given that 3/7*o**k + 13/7*o**4 + 2*o**3 - 4/7*o**2 - 8/7*o + 0 = 0.
-2, -1, 0, 2/3
Let y = 514 - 18503/36. Let d(k) be the third derivative of 0*k - 1/180*k**6 - y*k**4 + 0*k**3 - 1/45*k**5 + 5*k**2 + 0. Determine v so that d(v) = 0.
-1, 0
Factor 12/7 - 12/7*k + 3/7*k**2.
3*(k - 2)**2/7
Let f be 2*59/(-10) + 13. Factor 3/5*j**2 - 9/5 - f*j.
3*(j - 3)*(j + 1)/5
Let w(j) be the second derivative of j**4/4 + 10*j**3 + 225*j**2/2 + 513*j. Factor w(y).
3*(y + 5)*(y + 15)
Let q(r) be the first derivative of -r**4/4 - 7*r**3/3 - 15*r**2/2 - 9*r + 152. Factor q(x).
-(x + 1)*(x + 3)**2
Let n(u) be the first derivative of 5/18*u**6 + 0*u + 0*u**2 + 1/6*u**4 - 8 + 7/15*u**5 + 0*u**3. Factor n(a).
a**3*(a + 1)*(5*a + 2)/3
Let p(y) be the third derivative of -y**6/20 + 3*y**5/20 - y**4/8 - 58*y**2. Suppose p(s) = 0. What is s?
0, 1/2, 1
Suppose 2*i - 23 = -i - 2*q, 0 = 3*i + 4*q - 31. Let c(n) be the first derivative of -4/3*n**3 - 1 - 1/3*n**6 + 3*n**2 - 2*n - n**4 + 6/5*n**i. Factor c(b).
-2*(b - 1)**4*(b + 1)
Factor 79*i + 5*i**2 - 77 - 219 + 36*i + 46.
5*(i - 2)*(i + 25)
Suppose -3*v + v = 3*f - 8, 2*f - 2*v - 2 = 0. Solve 0*l - 4/5*l**f + 0*l**3 + 4/5*l**4 + 0 = 0 for l.
-1, 0, 1
Let s = -103 + 79. Let x(v) = -76*v**4 + 320*v**3 + 780*v**2 + 488*v + 80. Let b(r) = r**4 - r**2 + r. Let p(u) = s*b(u) + x(u). Solve p(n) = 0.
-1, -2/5, 5
Let d(q) be the second derivative of -q**5/28 + 2*q**4/21 + 19*q**3/42 + 3*q**2/7 - 2*q. Factor d(t).
-(t - 3)*(t + 1)*(5*t + 2)/7
Let k = -14267/18 + 793. Let j = 13/36 + k. What is i in j*i**4 - 1/2*i + 1/4*i**5 + 1/4*i**3 + 0 - 3/4*i**2 = 0?
-2, -1, 0, 1
Suppose 65*w = 56*w + 261. Let f be (-9 - w)*1/(-5) - -2. Factor 24/5*t + f + 3/5*t**2.
3*(t + 4)**2/5
Let z(n) = 8*n**3 + 162*n**2 + 1818*n + 6655. Let i(b) = -55*b**3 - 1135*b**2 - 12725*b - 46585. Let v(o) = -3*i(o) - 20*z(o). Find j such that v(j) = 0.
-11
Let k = -49 + 51. Determine y, given that 2*y**4 - 2*y**k + 30*y**3 - 28*y**3 - 2*y + 0*y**2 = 0.
-1, 0, 1
Let u be 20/(-35)*70/(-20). Let s(w) be the first derivative of 7/10*w**5 - 1/2*w**u + 0*w - 7 + 1/2*w**3 + 3/2*w**4. Factor s(b).
b*(b + 1)**2*(7*b - 2)/2
Let z be (-1)/3 - (-13)/3. Let x(r) be the first derivative of 7/12*r**3 - 5/8*r**2 + 1/4*r + 3 - 3/16*r**z. Factor x(i).
-(i - 1)**2*(3*i - 1)/4
Let j = -1227 - -1230. Factor -45/2*x**2 + 49/2*x**4 - 14*x + 14*x**j - 2.
(x - 1)*(x + 1)*(7*x + 2)**2/2
Let c = -86 + 125. Find g, given that -c*g**4 + 2*g**3 + 1 + 38*g**4 + 0*g**3 - 2*g = 0.
-1, 1
Let i(t) be the second derivative of t**8/13440 + t**7/840 + t**6/120 + t**5/30 - 19*t**4/12 + 8*t. Let b(q) be the third derivative of i(q). Factor b(x).
(x + 2)**3/2
Let c(k) be the first derivative of -k**5/120 + k**4/32 - k**3/24 + 3*k**2 + 7. Let i(h) be the second derivative of c(h). Let i(y) = 0. Calculate y.
1/2, 1
Let w be ((-16)/(-88))/(2/44). Let d(i) be the first derivative of -w - 5/8*i**4 + i - 1/4*i**2 - 4/3*i**3. Factor d(x).
-(x + 1)**2*(5*x - 2)/2
Factor 7*y**3 + 12*y**2 - 156*y - 20*y + 320 + 2588*y**4 - 2589*y**4.
-(y - 4)**3*(y + 5)
Let n(a) be the second derivative of 27*a**6/5 - 3*a**4 + a**2 + 3*a + 4. Let n(t) = 0. What is t?
-1/3, 1/3
Let v(a) be the third derivative of a**7/42 - 14*a**6/3 - 113*a**5/12 + a**2 + 34*a. Determine w so that v(w) = 0.
-1, 0, 113
Let v(o) be the second derivative of o**7/147 + 2*o**6/105 - o**5/70 - o**4/21 + 25*o + 8. Determine a so that v(a) = 0.
-2, -1, 0, 1
Let y = 47857/310817 + -3/23909. Factor 64/13*w + y*w**2 + 512/13.
2*(w + 16)**2/13
Suppose 0 + 3/2*o + 6*o**3 - 3*o**4 - 5*o**2 + 1/2*o**5 = 0. What is o?
0, 1, 3
What is o in -1/4*o**5 + 0*o - 81/4*o**2 - 19/4*o**4 - 99/4*o**3 + 0 = 0?
-9, -1, 0
Factor -18/5*g + 18/5*g**3 - 3/5*g**4 + 0 + 3/5*g**2.
-3*g*(g - 6)*(g - 1)*(g + 1)/5
Factor 2*t**2 - 5*t**2 - 6*t + 3 - 3 + 16*t**2.
t*(13*t - 6)
Solve -3*k + 9*k**2 + 4 + 14*k + 9*k = 0 for k.
-2, -2/9
Let c(y) = -5*y + 18. Let s be c(3). Factor 3*f**s + 13*f + 13*f**2 - 28*f**2 + 5*f.
3*f*(f - 3)*(f - 2)
Let c = -39 - -44. Find g such that 2*g**4 - 2*g**3 - 3*g**2 + c*g**2 - 6*g**2 = 0.
-1, 0, 2
Let m be (-1)/1 - (-1)/(-12*(-8)/96). Factor m + 33/5*n + 3/5*n**2.
3*n*(n + 11)/5
Let j be (-70)/(-175)*(2 + (-9)/12). Factor 1/6*o**3 - j*o**2 - 1/6 + 1/2*o.
(o - 1)**3/6
Factor 3/5*y**5 + 3*y - 3/5 - 3*y**4 - 6*y**2 + 6*y**3.
3*(y - 1)**5/5
Find u, given that 64/5*u**2 + 144/5*u + 0 - 4/5*u**3 = 0.
-2, 0, 18
Suppose -5*p - 73 = -4*w, -3*p + 14 = 5*w - 31. Suppose 2*j - w = -2*j. Let f**4 - 8*f**2 + f**2 + j*f**5 + 5*f**4 + f**2 - 3*f = 0. What is f?
-1, 0, 1
Let z be (34 - 48)*(0 + 6/(-49)). What is c in 1/7*c**4 + 6/7*c**3 + 3/7 + 10/7*c + z*c**2 = 0?
-3, -1
Suppose j - 2*y = 3, 0 = 3*j - y - 3*y - 5. Let s be 1 - j/(2 + -1). Find z, given that -s*z**2 - 32/5*z - 8/5 + 14/5*z**3 = 0.
-1, -2/7, 2
Let d(b) be the third derivative of 5/12*b**4 + 0*b**3 - 1/24*b**6 + 1/12*b**5 + 0*b - 17*b**2 + 0. Determine o so that d(o) = 0.
-1, 0, 2
Let g(m) be the second derivative of 0*m**2 + 5/42*m**7 + 0 + 0*m**5 + 1/2*m**6 - 18*m - 5/3*m**4 + 0*m**3. Solve g(o) = 0.
-2, 0, 1
Suppose -3*x - 3*x + 378 = 0. Factor -16*q - x*q**2 + 23*q**2 + 36*q**2 - 16.
-4*(q + 2)**2
Let z(c) be the second derivative of 9/2*c**2 + 1/200*c**6 + 0*c**4 + c - 1/100*c**5 + 0 + 0*c**3. Let y(g) be the first derivative of z(g). Factor y(p).
3*p**2*(p - 1)/5
Let u(f) be the third derivative of f**8/588 - 2*f**7/105 + 3*f**6/70 + 19*f**5/105 - 11*f**4/21 - 16*f**3/7 + 579*f**2. Determine y so that u(y) = 0.
-1, 2, 3, 4
Let a be (5/(-3) - -2)*3/2. What is l in 0*l**2 - a*l - 1