h**p + h. Determine j, given that v(j) = 0.
2/9, 2
Let 178/3*k**3 + 8*k + 14/3*k**5 - 128/3*k**2 - 88/3*k**4 + 0 = 0. Calculate k.
0, 2/7, 1, 2, 3
Suppose 0 = -3*q + 112 + 56. Suppose q = 5*d + 26. Suppose -8*i**2 - 4 - 6 + d - 7*i - 11*i = 0. Calculate i.
-2, -1/4
Let c(p) be the third derivative of -1/36*p**4 - 1/60*p**6 + 0*p**3 + 9*p**2 + 1/315*p**7 + 0 + 1/30*p**5 + 0*p. Find h such that c(h) = 0.
0, 1
Let u(h) = -h**5 + h**4 + h**3 - h**2 - 4*h. Let f(c) = c**5 - c**3 + 3*c. Let x(n) = -4*f(n) - 3*u(n). Find o, given that x(o) = 0.
-3, -1, 0, 1
Suppose 14*z + 337 + 1245 = 0. Let l = z - -113. Let 0 + l*c**2 + 0*c + 1/3*c**3 = 0. Calculate c.
0
Let k = 204 + -202. Let s be ((-5)/k + 1)/((-20)/8). Factor 1/5*g**2 - s*g + 2/5.
(g - 2)*(g - 1)/5
Let i be 20/(-28)*(22 - 29). Let q(u) be the second derivative of -14*u + 1/22*u**i + 0 + 4/33*u**3 + 0*u**2 - 1/165*u**6 - 4/33*u**4. Factor q(l).
-2*l*(l - 2)**2*(l - 1)/11
Suppose -4*q + 5*j + 25 = -24, -19 = -2*q - 3*j. Let g(w) = -w**2 - 3*w + 4. Let u(z) = 2*z**2 + 6*z - 7. Let h(c) = q*g(c) + 6*u(c). Solve h(y) = 0.
-2, -1
Let f(h) be the first derivative of -5/17*h**2 - 14 + 2/51*h**3 + 0*h. Factor f(x).
2*x*(x - 5)/17
Let a(z) be the second derivative of -16/135*z**6 - 11/54*z**4 - 64/189*z**7 + 0 + 5*z + 2/5*z**5 + 0*z**2 + 1/27*z**3. Find v such that a(v) = 0.
-1, 0, 1/4
Factor 123/2*m + 321/2*m**3 + 3 + 105/2*m**4 + 333/2*m**2.
3*(m + 1)**3*(35*m + 2)/2
Suppose -2*v + 17 = 2*h - 1, -h - 15 = -2*v. Let n(x) be the second derivative of -3/4*x**2 + 0 - 1/6*x**4 + 1/16*x**5 - 19/24*x**3 - v*x. Factor n(s).
(s - 3)*(s + 1)*(5*s + 2)/4
Factor 2 - 36*b - 44*b - b**3 - 1 + 8 + 7*b**2 + 97*b.
-(b - 9)*(b + 1)**2
Let i be ((-663)/(-52))/(4/(-16)). Let d = 359/7 + i. Determine o, given that 1/7 - d*o + 1/7*o**2 = 0.
1
Let p(g) be the third derivative of 0*g**5 + 0*g + 0*g**3 - 1/120*g**6 + 0 + 0*g**7 + 1/672*g**8 + 1/48*g**4 + 4*g**2. Factor p(j).
j*(j - 1)**2*(j + 1)**2/2
Let l(a) be the second derivative of 7*a**6/120 - a**5/16 - 3*a**4/16 + 5*a**3/24 + a**2/4 - 22*a. Factor l(n).
(n - 1)**2*(n + 1)*(7*n + 2)/4
Let s(r) = -15*r**2 - 9*r - 30. Let m(v) = v**2. Let a(h) = 18*m(h) + s(h). Solve a(i) = 0.
-2, 5
Let n(h) = -4*h - 1. Let f = 20 + -21. Let u be n(f). Let -x + u*x - 2*x**3 + 4*x - 4 = 0. What is x?
-2, 1
Let r(m) be the second derivative of 2*m**7/21 + 8*m**6/15 + 3*m**5/5 - 23*m. Find y such that r(y) = 0.
-3, -1, 0
Let n(t) be the third derivative of 0 - 1/1008*t**8 - 1/24*t**4 + 0*t + 1/90*t**5 - 18*t**2 - 1/9*t**3 + 0*t**7 + 1/90*t**6. Factor n(h).
-(h - 2)*(h - 1)*(h + 1)**3/3
Suppose -2*s + 7*s = 4*v + 31, 0 = s - 3*v - 15. Factor -a**2 - a**3 + 7*a**3 - 5*a**s.
a**2*(a - 1)
Let j(x) be the third derivative of x**8/616 - x**7/105 - 19*x**6/660 - x**5/66 + 79*x**2. Let j(g) = 0. Calculate g.
-1, -1/3, 0, 5
Let v be -6 + (1115/(-225) - -11). Let o(s) be the second derivative of v*s**3 + 0 + 4*s + 0*s**2 + 1/150*s**5 - 1/30*s**4. Suppose o(a) = 0. What is a?
0, 1, 2
Factor 1/9*t**5 + 13/9*t + 2/3 + 4/9*t**2 - 2/9*t**4 - 2/3*t**3.
(t - 3)*(t - 2)*(t + 1)**3/9
Let z(m) be the first derivative of 0*m + 4*m**2 + 1/3*m**3 + 1/60*m**5 + 1/8*m**4 - 3. Let r(x) be the second derivative of z(x). Factor r(i).
(i + 1)*(i + 2)
Suppose 5*s + 2*m - 268 = -0*m, 5*s = 2*m + 252. Let -2*i**3 + 50*i - 2 + s*i + 2*i**2 - 100*i = 0. Calculate i.
-1, 1
Let h = -14 + 16. What is r in h*r - 8*r**2 - 2*r**5 + 4*r**3 + 2*r**4 + 4 + 2*r**4 + r - 5*r = 0?
-1, 1, 2
Let r(t) be the second derivative of -t**4/18 + 12*t**3 + 109*t**2/3 - 58*t. Factor r(q).
-2*(q - 109)*(q + 1)/3
Let s = 524 + -518. Let z(w) be the third derivative of 1/6*w**4 + 0 - 4/105*w**7 - 1/84*w**8 + 0*w**s + 2/15*w**5 + 0*w**3 + 0*w + 4*w**2. Factor z(q).
-4*q*(q - 1)*(q + 1)**3
Let s(z) be the first derivative of z**6/180 + z**5/10 + 2*z**4/3 + 16*z**3/9 + z**2 - 15. Let p(u) be the second derivative of s(u). Factor p(y).
2*(y + 1)*(y + 4)**2/3
Suppose -15 = 5*s - 4*r + 1, -r + 4 = 4*s. Let c be s/(0 + (1 - 5)*1). Find i such that 1/3*i**2 + c*i + 0*i**3 + 0 - 1/3*i**4 = 0.
-1, 0, 1
Suppose -4*o + v + 2*v = -21, 4*v = -o - 9. Suppose 0 = -o*g + 2*g + 6. Suppose -11 + g*n**3 - 21*n**2 + 9*n**4 + 11 + 6*n = 0. Calculate n.
-2, 0, 1/3, 1
Let d(x) be the first derivative of 2*x**3/27 - 6*x**2 + 162*x - 21. Factor d(v).
2*(v - 27)**2/9
Let n(g) = -g**2 - 3*g - 24. Let i be n(0). Let s be ((-8)/(-10))/(i/(-20)). Factor 0 - 2/3*j**4 - 2/3*j**3 + s*j**2 + 2/3*j.
-2*j*(j - 1)*(j + 1)**2/3
Let x be (-3)/15 + 463/1190. Let u = x - 1/14. Suppose u*t**4 + 0 - 4/17*t**3 + 0*t + 2/17*t**2 = 0. Calculate t.
0, 1
Let h(l) be the second derivative of -l + 1/70*l**5 + 1/14*l**4 + 0 - 4/7*l**2 + 0*l**3. Factor h(q).
2*(q - 1)*(q + 2)**2/7
Factor -3/2*q**3 + 51/2*q**2 + 27*q + 0.
-3*q*(q - 18)*(q + 1)/2
Suppose 142/7*x**2 + 8/7 - 104/7*x - 46/7*x**3 = 0. Calculate x.
2/23, 1, 2
Suppose 12*d - 145 = -17*d. Let t(c) be the second derivative of 5/3*c**3 + c + 0*c**2 + 5/6*c**6 + 5/12*c**4 - 2*c**d + 0. What is n in t(n) = 0?
-2/5, 0, 1
Let m be ((-14)/(-28))/(18/(-28)). Let s = m + 23/18. Factor 1/6*a**2 + s*a + 1/3.
(a + 1)*(a + 2)/6
Let m(d) be the third derivative of d**8/280 + d**7/30 - 7*d**6/180 - d**5/6 + 3*d**3 + 40*d**2. Let x(j) be the first derivative of m(j). Factor x(g).
2*g*(g - 1)*(g + 5)*(3*g + 2)
Let v(n) = -6*n**2 - n - 2. Let k(m) = 11*m**2 + 18*m + 21. Let g(z) = -3*k(z) - 6*v(z). Factor g(u).
3*(u - 17)*(u + 1)
Suppose -6*m + 4*m = -10. Suppose 0 = m*r + 1 - 11. Let -8 - 7*i - 3*i**2 + 19*i - i**r = 0. Calculate i.
1, 2
Suppose -4*i = h + 2, -2*h + 5*i - 4 - 13 = 0. Let l be -3 + (-45)/h + -4 + 0. Factor 5/4*b - 1/4*b**5 - b**3 - b**4 + 1/2 + l*b**2.
-(b - 1)*(b + 1)**3*(b + 2)/4
Let n(v) be the third derivative of 11*v**7/105 - v**6/3 + 7*v**5/30 + v**4/6 + 64*v**2. Determine x, given that n(x) = 0.
-2/11, 0, 1
Let r(k) be the first derivative of -k**3/3 - k**2/2 + k + 5. Let q(x) = -16*x**2 + 12*x. Let i(u) = -q(u) + 4*r(u). Suppose i(j) = 0. Calculate j.
1/3, 1
Let r(w) be the third derivative of 0*w + 1/140*w**5 + 0*w**4 + 11*w**2 - 2/21*w**3 + 0 - 1/840*w**6. Solve r(q) = 0.
-1, 2
Let i = -240714/7 - -34388. Let i*u**3 + 0*u**2 - 2/7*u + 0 = 0. What is u?
-1, 0, 1
Find i, given that 33*i**5 + 6*i**2 - 583*i**3 - 112*i**4 - 31*i**5 + 106*i**2 + 2149*i**3 - 1568*i = 0.
-1, 0, 1, 28
Let k be (-168)/(-70) + (26/10 - 2). Let m(g) be the second derivative of 0*g**2 + 0*g**k - g + 0 - 1/4*g**4. Factor m(i).
-3*i**2
Let q(a) be the third derivative of a**7/350 - 3*a**6/100 - 11*a**5/100 + 3*a**4/2 + 10*a**3 + 80*a**2. Factor q(g).
3*(g - 5)**2*(g + 2)**2/5
What is s in -12*s**4 + 0*s**5 - 53*s**3 - 27*s**2 + 3*s**5 - 15*s**2 - 4*s**3 = 0?
-2, -1, 0, 7
Let f(l) be the second derivative of -l**6/10 - 9*l**5/10 - 9*l**4/4 - 2*l**3 - 33*l. Factor f(b).
-3*b*(b + 1)**2*(b + 4)
Solve 69/8*d + 63/4 + 3/8*d**2 = 0 for d.
-21, -2
Let -4/11*f**2 + 0*f - 2/11*f**3 + 2/11*f**4 + 0 = 0. What is f?
-1, 0, 2
Suppose -13 + 7 = -2*v. Factor 66*s**2 + v*s**4 + 58*s + 35*s**3 + 2*s**4 - 13*s + 9*s**2.
5*s*(s + 1)*(s + 3)**2
Let v be 2 - ((-4)/6 - 2/6). Factor -22*f**v - 2*f**3 - 2*f**2 - 15*f**4 - 3*f**5 - f**2 - 9*f**2.
-3*f**2*(f + 1)*(f + 2)**2
Suppose -75*c = -62*c - 39. Let n(h) be the third derivative of 0*h - 8*h**2 + 0*h**c + 0*h**5 + 0 + 1/30*h**6 - 2/3*h**4. Determine w so that n(w) = 0.
-2, 0, 2
Let f = -101 - -119. Let o = 18 - f. Factor 3/2*v**3 + 0*v + 0 + 1/2*v**4 + o*v**2.
v**3*(v + 3)/2
Let l(r) be the first derivative of -r**3/15 + 3*r**2/5 - r + 173. Factor l(p).
-(p - 5)*(p - 1)/5
Let r(n) = -6*n**2 - 31*n - 30. Suppose -7 = -7*b - 35. Let m(z) = 65*z**2 + 340*z + 330. Let l(j) = b*m(j) - 45*r(j). Determine p, given that l(p) = 0.
-2, -3/2
Let f = 643 + -640. Let c(u) be the first derivative of -3 - 1/3*u**2 - u + 1/9*u**f. Determine i, given that c(i) = 0.
-1, 3
Let t(o) = 3*o**3 - 17*o**2 + 59*o + 365. Let m(r) = 7*r**3 - 33*r**2 + 120*r + 731. Let f(d) = 2*m(d) - 5*t(d). Factor f(j).
-(j - 11)**2*(j + 3)
Factor 1/2*a**2 + 1/2*a**3 + 0 - 1/2*a - 1/2*a**4.
-a*(a - 1)**2*(a + 1)/2
Let u(o) be the second derivative of 3*o + 0*o**4 + 1/30*o**5 - 1/18*o**3 + 0*o**2 - 1/126*o**7 + 0 + 0*o**6. Factor u(y).
-y*(y - 1)**2*(y + 1)**2/3
Let b(k) be t