is p?
-2, -1, 0
Let h = -18/31 + 250/217. Let a = 1124/77 - 104/11. Solve -a*l**3 - 24/7*l**2 + 0 - h*l - 16/7*l**4 = 0 for l.
-1, -1/4, 0
Let d(a) be the second derivative of a**7/2520 + a**6/240 - a**5/30 + 11*a**4/12 - 18*a. Let z(o) be the third derivative of d(o). Factor z(v).
(v - 1)*(v + 4)
Let k(n) be the first derivative of n**5/5 - 3*n**4/2 - n**3 + 10*n**2 - 12*n + 106. Determine l so that k(l) = 0.
-2, 1, 6
Let c(a) be the second derivative of a**6/50 - 81*a**5/50 + 673*a**4/20 + 756*a**3/5 + 1176*a**2/5 + 3*a + 7. Factor c(m).
3*(m - 28)**2*(m + 1)**2/5
Suppose -3*w + w + 8 = 0. Find c, given that -2*c + c + 3*c + 2*c**2 - w*c = 0.
0, 1
Let q = 146/3 - 289/6. Let n be 2/4 - 0/(-1). Factor n*z - 1 + z**2 - q*z**3.
-(z - 2)*(z - 1)*(z + 1)/2
Let j(y) be the third derivative of 2*y**7/315 + y**6/15 + 2*y**2 + 64*y. Find t such that j(t) = 0.
-6, 0
Let o be ((-2)/(-11))/(2/22). Let h(j) be the second derivative of -1/9*j**3 - 3*j + 1/30*j**5 + 0*j**o + 0 + 0*j**4. Factor h(i).
2*i*(i - 1)*(i + 1)/3
Let h be 3/(3 + (-3)/2) - 6. Let v be 3 - (-2 - -3) - (-2)/h. Determine f so that 0 + f - 1/2*f**5 - v*f**4 - 1/2*f**3 + 3/2*f**2 = 0.
-2, -1, 0, 1
Solve -4*x**4 + x + 4*x - 5*x**2 + 11*x**3 - 2*x - 5*x = 0.
-1/4, 0, 1, 2
Suppose -8*l = 81 - 137. Let i be (4/5)/(l/(245/14)). What is m in -4/11*m + 0 + 2/11*m**i = 0?
0, 2
Find p such that -1/4 + 1/4*p**3 - 3/4*p**2 + 3/4*p = 0.
1
Let w be ((-1)/(-3))/(-6 - 330/(-54)). Factor -3/5*b**w - 36/5*b - 18/5*b**2 - 24/5.
-3*(b + 2)**3/5
Let j be 20 + 309/(-15) + 3/5. Solve 7/5*x**2 + 2/5*x**3 - 7/5*x**4 + j - 2/5*x = 0 for x.
-1, 0, 2/7, 1
Let t = 225 - 225. Let m(z) be the second derivative of t*z**2 + 0 - 1/40*z**5 + 6*z + 1/12*z**4 + 0*z**3. Factor m(v).
-v**2*(v - 2)/2
Let d(z) be the third derivative of 0*z + 0 + 10*z**2 + 1/330*z**5 + 25/33*z**3 + 5/66*z**4. Factor d(p).
2*(p + 5)**2/11
Let l(v) = -19*v**3 + 39*v**2 - 49. Let z(m) = -m**2 - 12*m + 41. Let p be z(-15). Let n(t) = 9*t**3 - 19*t**2 + 24. Let x(s) = p*l(s) - 9*n(s). Factor x(r).
-5*(r - 2)**2*(r + 1)
Let x be -3 - (-3 + (-5 - -6) - 55/11). Let 0 - 6/7*h + x*h**4 - 4/7*h**2 + 30/7*h**3 = 0. What is h?
-1, -1/2, 0, 3/7
Let d(a) = 19*a - 19. Let h(w) = w - 1. Let o(x) = -d(x) + 5*h(x). Let v be o(1). Factor 2/15*u**3 + v + 2/15*u**4 - 2/15*u**2 - 2/15*u.
2*u*(u - 1)*(u + 1)**2/15
Let h(z) be the first derivative of -2*z**3/5 + 311*z**2/5 - 412*z/5 + 355. Determine w, given that h(w) = 0.
2/3, 103
Suppose -w - 3*n = 3, -2*n = 2 + 8. Factor -w*z**3 + 33*z**3 - 16*z**3 - 5*z**4.
-5*z**3*(z - 1)
Let k(y) be the second derivative of y**4/12 + 7*y**3/6 - 8*y**2 - 14*y. Let u be k(-9). Solve 0 + 2/7*h + 2/7*h**u = 0.
-1, 0
Let x(y) be the second derivative of -1/14*y**3 - 1/28*y**4 + 3/140*y**5 - 11*y + 3/14*y**2 + 0. Factor x(d).
3*(d - 1)**2*(d + 1)/7
What is g in -2/13*g**3 + 6050/13 - 5830/13*g - 218/13*g**2 = 0?
-55, 1
Let n(y) be the third derivative of y**8/189 - 13*y**7/945 - 7*y**6/270 + 13*y**5/270 + y**4/18 - 123*y**2. Find u such that n(u) = 0.
-1, -3/8, 0, 1, 2
Let z be (-1)/(-2) + 155/(-62) - 40/(-18). Solve 0 - 8/9*y + z*y**3 + 2/9*y**4 - 8/9*y**2 = 0.
-2, -1, 0, 2
Find k such that -9/7*k**2 - 1/7*k**3 - 16/7 - 24/7*k = 0.
-4, -1
Let k = -1201/5 - -241. Let u = 12/5 + -2. Factor k - 56/5*j**2 - u*j.
-2*(4*j - 1)*(7*j + 2)/5
Suppose 16*j = -9*j - 158*j. Factor -1/7*d**2 + 4/7*d + j.
-d*(d - 4)/7
Let l(r) be the second derivative of r**5/160 + r**4/16 + 5*r**3/48 - 3*r**2/4 + 3*r - 3. Factor l(z).
(z - 1)*(z + 3)*(z + 4)/8
Factor -i**2 + 0 + 0 - 12*i**2 + 8*i**2 + 70*i.
-5*i*(i - 14)
Let o(m) be the second derivative of -1/18*m**3 + 0 - 18*m - 1/6*m**2 + 1/60*m**5 + 1/36*m**4. Factor o(n).
(n - 1)*(n + 1)**2/3
Suppose -4*t - 5*h + 36 = 0, 6*h = 2*t + h + 12. Let -4*w - 2*w**4 - 3*w**4 - 7 + 12*w**2 + w**4 + t*w**3 - 1 = 0. Calculate w.
-1, 1, 2
Let z(y) be the third derivative of y**7/1260 - y**6/360 - y**5/120 + y**4/18 - y**3/9 + 946*y**2. Factor z(u).
(u - 2)*(u - 1)**2*(u + 2)/6
Let r(x) be the second derivative of -x**5/5 + 17*x**4 - 528*x**3 + 6776*x**2 - 53*x + 8. Factor r(l).
-4*(l - 22)**2*(l - 7)
Let z be ((-48)/(-16))/(13 + -5). Factor -3/8*o + 0 - z*o**2.
-3*o*(o + 1)/8
Factor 0*r + 0 + 8/11*r**4 + 0*r**2 + 10/11*r**3 - 2/11*r**5.
-2*r**3*(r - 5)*(r + 1)/11
Let x(u) be the third derivative of u**8/140 - 37*u**7/350 - 3*u**6/8 - 23*u**5/100 + 11*u**4/40 + 177*u**2. Find l, given that x(l) = 0.
-1, 0, 1/4, 11
Suppose 0 = -4*k + 2*k + 22. Factor 4*z**4 + 96*z + 144*z**2 + 12*z**3 - 56*z**2 - k*z**3 + 36 + 31*z**3.
4*(z + 1)**2*(z + 3)**2
Suppose 0 = -17*m + 11 + 295. Suppose m*k - 20 = 8*k. Factor t - 1/2*t**k - 1/2.
-(t - 1)**2/2
Let y(i) be the third derivative of -i**7/420 - 3*i**6/80 - i**5/15 + 2*i**2 - 1. Determine q, given that y(q) = 0.
-8, -1, 0
Let b(d) be the first derivative of -9 + 0*d**3 + 1/10*d**4 - 1/5*d**2 + 0*d. Solve b(q) = 0.
-1, 0, 1
Let a(t) = -2*t**4 - t**3 + 1. Let p(x) = -8*x**4 - 67*x**3 - 117*x**2 - 35*x + 23. Let v(z) = -6*a(z) + p(z). Factor v(g).
(g - 17)*(g + 1)**2*(4*g - 1)
Let q(w) be the first derivative of 0*w**2 + 0*w**3 - 1/14*w**5 + 1/15*w**6 - 4 + 11*w - 1/21*w**4. Let d(p) be the first derivative of q(p). Factor d(k).
2*k**2*(k - 1)*(7*k + 2)/7
Let c = -51 + 51. Let h(d) be the first derivative of 2 + c*d - 1/3*d**3 - 1/2*d**2. Suppose h(k) = 0. Calculate k.
-1, 0
Let f(k) = k**3 + 9*k**2 + 9*k + 8. Let j be f(-8). Suppose y + j = -h + 1, -2*y - 5*h - 1 = 0. Factor -2*r**4 - 2*r**y - 2*r**3 + 2*r + 0*r**2 + 5*r**2 - r**2.
-2*r*(r - 1)*(r + 1)**2
Let r(a) be the first derivative of 4*a**5/5 - 2*a**4 + 16*a**3/3 - 9. Let w(d) = -d**2. Let o(g) = -r(g) - 12*w(g). What is j in o(j) = 0?
0, 1
Let i(b) be the third derivative of 3*b**6/20 + 2*b**5/3 + b**4/3 - 2*b**2 + 11*b. Factor i(a).
2*a*(a + 2)*(9*a + 2)
Let a(k) be the second derivative of k**5/10 + k**4/3 - k**3/3 - 2*k**2 - 6*k - 3. Find z such that a(z) = 0.
-2, -1, 1
Let o(s) be the third derivative of -s**7/1890 + s**6/108 - 5*s**5/108 + 112*s**2. Find i such that o(i) = 0.
0, 5
Let n(u) be the second derivative of 8*u**7/9 + 796*u**6/45 + 7103*u**5/60 + 5009*u**4/18 + 470*u**3/3 - 300*u**2 + 46*u - 2. Solve n(v) = 0 for v.
-6, -5/4, 2/7
Factor 4/5*g**2 + 2/5 + 6/5*g.
2*(g + 1)*(2*g + 1)/5
Let s(k) be the third derivative of k**5/15 + k**4 + 16*k**3/3 + 94*k**2. Suppose s(f) = 0. What is f?
-4, -2
Factor 2/3*f**2 + 0*f + 1/6*f**3 + 0.
f**2*(f + 4)/6
Let y(l) be the first derivative of l**6/210 + l**5/105 - 20*l**3/3 + 14. Let u(f) be the third derivative of y(f). Find i such that u(i) = 0.
-2/3, 0
Let s(k) be the second derivative of -1/18*k**4 + 0 + 1/120*k**5 + 18*k + 0*k**2 + 0*k**3. Factor s(i).
i**2*(i - 4)/6
Factor 27/4 + 5/2*z**3 + 1/4*z**5 + 7/4*z**4 - 9/2*z**2 - 27/4*z.
(z - 1)**2*(z + 3)**3/4
Let z = 757/14 + -103/2. Factor 2*k**3 - 2/7*k**4 + 0 - 30/7*k**2 + z*k.
-2*k*(k - 3)**2*(k - 1)/7
Let z be (1/5*-27 + 82 + -78)*-3. Factor -6/5*u - z*u**4 - 33/5*u**2 + 0 - 48/5*u**3.
-3*u*(u + 1)**2*(7*u + 2)/5
Let c(w) be the third derivative of w**8/588 + 8*w**7/735 + w**6/210 - 2*w**5/35 - 32*w**2 + 3*w. Suppose c(z) = 0. What is z?
-3, -2, 0, 1
Let a(s) be the first derivative of -3*s**5/5 + 9*s**4/4 + 3*s**3 - 21*s**2/2 - 18*s - 628. Factor a(w).
-3*(w - 3)*(w - 2)*(w + 1)**2
Let j(q) = 14*q**3 - 4*q**2 - 45*q - 10. Let n(l) = 5*l**3 - l**2 - 15*l - 3. Let x(p) = -6*j(p) + 17*n(p). Factor x(i).
(i + 1)*(i + 3)**2
Let q be ((-20)/10 + 2)*2/2. Solve -3/4*o - 3/4*o**2 + q = 0 for o.
-1, 0
Let m = 8 - 4. Determine d so that -32 - 16*d**4 + 4*d**3 + m*d**5 - 20*d + d + 3*d + 40*d**2 = 0.
-1, 2
Suppose -4*y + 2*o - 7 = o, 0 = y + o + 8. Let f = y - -31. Factor -4 + 0 + 8 + 49*h**2 + f*h.
(7*h + 2)**2
Find n such that -1756 + 5*n**2 - 4024 - 10*n**2 - 340*n = 0.
-34
Factor 3*o**2 + 4366 - 8660 + 124*o + 4335.
(o + 41)*(3*o + 1)
Let p(n) be the third derivative of -n**8/336 - n**7/210 + n**6/40 + n**5/12 + n**4/12 - n**2 + 3. Factor p(g).
-g*(g - 2)*(g + 1)**3
Factor -4/5*g**4 + 0*g + 4/5*g**3 - 4/5*g**5 + 4/5*g**2 + 0.
-4*g**2*(g - 1)*(g + 1)**2/5
Let d(i) be the second derivative of i**4/6 + 16*i**3/3 + 64*i**2 - 259*i. Factor d(v).
2*(v + 8)**2
Let q(r) = -4*r**2 - 5*r + 2. Let o(c) = 5*c**2 - 11*c**2 + c + 7*c**2 - 1.