= 0.
-1, 0, 1/3
Factor -h**3 - 8*h + 160*h**4 - 14*h**2 - 334*h**4 + 179*h**4.
h*(h - 2)*(h + 1)*(5*h + 4)
Let t be 955/(-15)*(-3 + 0). Let k = -954/5 + t. Factor -k*a**2 - 3/5 + 4/5*a.
-(a - 3)*(a - 1)/5
Let p(k) = -2*k - 8. Let a be p(-5). Factor -4*z**2 - 4 - 5*z**2 + a*z**2 + 3*z**2 + 8*z.
-4*(z - 1)**2
Let 16*r - 7*r**3 - 3*r - 40 + r**4 - 7*r + 6*r**2 + 22*r = 0. Calculate r.
-2, 2, 5
Suppose 23 = 5*f + 8. Suppose f*r - 9 = 5*c, 2*c = 7*c. Factor 15/4*q**2 + 9/4*q + 11/4*q**r + 3/4*q**4 + 1/2.
(q + 1)**3*(3*q + 2)/4
Let m = -1733 + 1735. Determine d so that -d - 1/2*d**m + 0 = 0.
-2, 0
Let a(c) be the first derivative of -c**4 + 12*c + 4/3*c**3 + 10*c**2 - 6. Let a(x) = 0. Calculate x.
-1, 3
Suppose -5*d + 2781 = 2766. Determine i so that -3/5*i**d + 0*i**2 + 0*i + 0 = 0.
0
Determine y, given that 178 + 22 - 103*y - 32*y**4 - 408*y**2 + 243*y + 208*y**3 = 0.
-1/2, 2, 5/2
Let m = -34 + 62. Let o(f) = -f**3 + 2*f**2 + 2*f - 2. Let s be o(2). Suppose 48*z**5 + m*z**3 + z**2 - z**4 - z**2 + 4*z**s + 65*z**4 = 0. Calculate z.
-1/2, -1/3, 0
Let l be 20/8 + (-6)/(-12). Factor -17*k - 3*k**4 - 3*k**2 + 6*k**4 + k**l + 16*k.
k*(k - 1)*(k + 1)*(3*k + 1)
Let q(n) be the second derivative of n**4/90 + 8*n**3/45 + n**2 + 499*n. Factor q(d).
2*(d + 3)*(d + 5)/15
Suppose 6/19*p**3 - 12/19*p + 6/19*p**4 + 0 - 2/19*p**5 - 14/19*p**2 = 0. Calculate p.
-1, 0, 2, 3
Let r = 100102/9 + -11122. Factor r*w + 0 - 2/3*w**2 + 2/9*w**3.
2*w*(w - 2)*(w - 1)/9
Factor 94*s - 2*s**5 - 162*s**2 - s**5 + 6*s**3 + 16*s**4 - 22*s**2 - 318*s + 384 + 5*s**5.
2*(s - 3)*(s - 1)*(s + 4)**3
Let a = 21 + -13. Let f(w) = 3*w - 24. Let r be f(a). Find c such that -6/7*c**4 + r*c + 0 + 2/7*c**2 - 4/7*c**3 = 0.
-1, 0, 1/3
Let i(s) be the third derivative of -s**8/2688 + s**6/320 - s**5/240 - s**2 - 12*s. Find m such that i(m) = 0.
-2, 0, 1
Determine i so that -31*i**2 - 2*i**5 + 110*i**2 + 2*i**4 - 38*i**2 - 35*i**2 + 10*i**3 = 0.
-1, 0, 3
Let s(x) be the third derivative of 0 + 15*x**2 - 1/40*x**6 - 3/2*x**3 - 2*x + 3/20*x**5 + 1/8*x**4. Determine d, given that s(d) = 0.
-1, 1, 3
Let l(c) be the first derivative of c**4 - 3*c**3 + 3*c**2 - c - 133. Suppose l(j) = 0. What is j?
1/4, 1
Let h(z) = -230*z**2 - 234*z. Let q(u) = 2*u**3 + 229*u**2 + 233*u. Let j(d) = 3*h(d) + 2*q(d). Factor j(r).
4*r*(r - 59)*(r + 1)
Let w(d) be the third derivative of d**7/1680 + d**6/60 + d**5/5 - d**4/12 + 18*d**2. Let i(u) be the second derivative of w(u). Factor i(l).
3*(l + 4)**2/2
Let u be 9/108*-9*-4. Suppose 4*d + 14 = -3*c, -d = -c - 2*d - 3. Solve 10/7*p**u - 22/7*p**c - 2/7 + 2*p = 0.
1/5, 1
Let t(u) = u**3 - 25*u**2 - 25*u + 2. Let i be t(26). Factor -q**2 + 27 - i*q - 3 + 5*q**2.
4*(q - 6)*(q - 1)
Let o(m) be the second derivative of -m**6/30 + 11*m**5/20 + 7*m**4/6 - 4*m**3 + 141*m. Let o(k) = 0. Calculate k.
-2, 0, 1, 12
Determine l, given that -69/2*l**3 - 39*l**2 + 66*l + 3/2*l**5 + 60 + 12*l**4 = 0.
-10, -1, 2
Let f be 40/(-15) + (2 - -3 - 1). Factor -16/3 - f*b**2 - 20/3*b.
-4*(b + 1)*(b + 4)/3
Let z be (252/150)/(-7)*-5. Solve 2/5*k**2 - z*k + 4/5 = 0 for k.
1, 2
Let -288*r**2 - 1152*r - 24*r**3 - 2/3*r**4 + 0 = 0. What is r?
-12, 0
Let -48*d**5 + 176 - 6*d - 27*d**3 - 120*d**4 - 176 + 39*d**2 = 0. Calculate d.
-2, -1, 0, 1/4
Let m(n) be the third derivative of 0 + 0*n - 221/150*n**5 - 9*n**2 - 16/15*n**4 - 4/15*n**3 + 289/300*n**6. Factor m(g).
2*(g - 1)*(17*g + 2)**2/5
Let l(z) be the third derivative of -7/20*z**5 - z**2 + 0*z + 3/70*z**7 + 3/8*z**4 + 0*z**3 - 7/40*z**6 + 0. Factor l(a).
3*a*(a - 3)*(a + 1)*(3*a - 1)
Let c = -10/299 - -5432/1495. Suppose c + 9/5*d**4 + 21/5*d - 21/5*d**3 - 27/5*d**2 = 0. What is d?
-1, -2/3, 1, 3
Let z(p) be the third derivative of 0*p + 1/300*p**6 + 1/1575*p**7 - 20*p**2 + 0 + 0*p**3 + 1/180*p**4 + 1/150*p**5. Factor z(h).
2*h*(h + 1)**3/15
Let r be (-4 - (3 - 0)) + -3. Let w = r + 12. Suppose -22*y**2 - 6 + 12*y**w + 13*y**2 - 3*y = 0. What is y?
-1, 2
Suppose 9*o = 14*o + 10. Let t(h) = h + 5. Let v be t(o). Factor -9/2 + v*w + 3/2*w**2.
3*(w - 1)*(w + 3)/2
Let k(w) be the first derivative of -5*w**6/14 + 57*w**5/35 + 3*w**4/7 + 276. Factor k(o).
-3*o**3*(o - 4)*(5*o + 1)/7
Let -20*a - 56*a - 3*a**2 - 60 + 26*a - 13*a = 0. What is a?
-20, -1
Let i(j) be the third derivative of 5*j**8/168 + j**7/35 - 13*j**6/15 + 32*j**4/3 - 16*j**3 + 1033*j**2. Suppose i(a) = 0. Calculate a.
-3, -2, 2/5, 2
Let d be (-38)/(-30) - 5*(-12)/150. Let q = d + -1. Factor -1/3 - q*c**2 - c.
-(c + 1)*(2*c + 1)/3
Let f be (5/30)/(4/8) - (-240)/144. Let n = 85/12 - 10/3. Suppose 0 - 27/4*a**3 - 21/4*a**f - 3/4*a**5 - 3/2*a - n*a**4 = 0. What is a?
-2, -1, 0
Let b(u) be the third derivative of -2*u**7/735 + 12*u**6/35 - 648*u**5/35 + 3888*u**4/7 - 69984*u**3/7 + 30*u**2 - u. Suppose b(g) = 0. Calculate g.
18
Let q = 29323 - 146611/5. Solve 3/5*w - q*w**3 + 1/5*w**5 + 2/5*w**2 + 0*w**4 - 2/5 = 0 for w.
-2, -1, 1
Factor 5*o**3 - 23*o**3 + 15*o**3 + 3*o + o**2 - o**4 + 0*o.
-o*(o - 1)*(o + 1)*(o + 3)
Let 16/11*k - 2/11*k**2 + 2/11*k**4 - 16/11*k**3 + 0 = 0. Calculate k.
-1, 0, 1, 8
Let h(t) = -10*t**4 - 69*t**3 + 332*t + 152. Let l(x) = -30*x**4 - 205*x**3 + 995*x + 455. Let p(w) = 25*h(w) - 8*l(w). Suppose p(u) = 0. Calculate u.
-8, -2, -1/2, 2
Suppose 20 = 2*a + 5*i, 4*i + 18 - 34 = -5*a. Let w be (-212)/(-28) - 4 - 1. Determine h, given that -2/7*h + a - w*h**2 - 36/7*h**3 = 0.
-1/3, -1/6, 0
Let v(i) be the first derivative of -i**4/28 - 4*i**3/21 - 3*i**2/14 + 70. What is a in v(a) = 0?
-3, -1, 0
Let i(y) be the second derivative of -y**7/21 - 4*y**6/15 - 3*y**5/10 - 177*y. Factor i(d).
-2*d**3*(d + 1)*(d + 3)
Let n(t) be the first derivative of -t**4/8 - t**3 - 3*t**2 - 4*t + 133. Factor n(d).
-(d + 2)**3/2
Let z = 1769 - 1767. Let n(a) be the first derivative of 1/10*a**5 + 1/2*a + 1/12*a**6 - 1/4*a**4 + 8 + 1/4*a**z - 1/3*a**3. What is g in n(g) = 0?
-1, 1
Let s(t) be the third derivative of -4*t**5/15 - 5*t**4/6 - 2*t**3/3 + 5*t**2 + t. Factor s(m).
-4*(m + 1)*(4*m + 1)
Let v(k) be the second derivative of k**6/75 + 3*k**5/25 + k**4/6 + 28*k - 3. Determine o, given that v(o) = 0.
-5, -1, 0
Factor 1/2*a**3 - 7/6 + 17/6*a - 13/6*a**2.
(a - 1)**2*(3*a - 7)/6
Let i(x) = 1. Let h(z) = 2*z**2 + 5*z - 3. Let r(j) = j**2 - 13*j - 10. Let n be r(13). Let g(s) = n*i(s) - 2*h(s). Factor g(v).
-2*(v + 2)*(2*v + 1)
Suppose 3*i - 9 = -3*k, -4*k + 3 = -i + 2*i. Let l be (-2 - (1 - i))/1. Find c such that -2/3*c**2 + 0*c + l + 2*c**3 = 0.
0, 1/3
Let l = -65/6 + 43/2. Let h(v) be the first derivative of 1 + 2/3*v**3 - 1/24*v**4 - 4*v**2 + l*v. Let h(j) = 0. Calculate j.
4
Let q(i) be the second derivative of -25*i**7/42 - 19*i**6/2 - 17*i**5/4 + 95*i**4/4 + 55*i**3/3 + 4*i - 22. What is a in q(a) = 0?
-11, -1, -2/5, 0, 1
Suppose 15*t - 8*t - 56 = 0. Suppose 12*x = t*x. What is a in 245*a**3 + x - 1225/2*a**4 + 50*a**2 - 20*a = 0?
-2/7, 0, 2/7, 2/5
Suppose -9 = 3*d + 6. Let s(u) = u**3 + 5*u**2 - u - 2. Let m be s(d). Solve k**2 - 2*k**2 - 2*k + m*k**2 = 0 for k.
0, 1
Let s(j) be the third derivative of -j**6/120 - j**5/12 - j**4/12 + 4*j**3/3 - 96*j**2. Factor s(i).
-(i - 1)*(i + 2)*(i + 4)
Suppose 0 = 5*y - 0*y - 5*g, 0 = 5*y - 3*g. Let h(t) be the second derivative of y + 5/12*t**3 + 5*t - 1/2*t**2 - 1/12*t**4. Factor h(i).
-(i - 2)*(2*i - 1)/2
Let t(c) be the second derivative of 2*c**6/15 + 6*c**5/5 + 13*c**4/3 + 8*c**3 + 8*c**2 + 26*c. What is j in t(j) = 0?
-2, -1
Let q = -497/36 - -57/4. Suppose -4/9 - 4/9*h**4 - 4/9*h**5 - q*h + 8/9*h**2 + 8/9*h**3 = 0. Calculate h.
-1, 1
Suppose -7/2 + 1/2*k**2 + 3*k = 0. Calculate k.
-7, 1
Let v(m) = -m**4 + 4*m**3 + 5*m**2 - 2*m - 2. Let d(j) = j**4 - 5*j**3 - 6*j**2 + 3*j + 3. Let i(z) = -2*d(z) - 3*v(z). Factor i(s).
s**2*(s - 3)*(s + 1)
Let b(p) be the third derivative of p**5/120 + 5*p**4/8 + 91*p**2. Find w such that b(w) = 0.
-30, 0
Let g(y) be the second derivative of 588*y**5/5 + 434*y**4 + 345*y**3/2 + 27*y**2 - 4*y + 53. Factor g(j).
3*(j + 2)*(28*j + 3)**2
Let 2/7*f**3 + 18/7 + 30/7*f + 2*f**2 = 0. Calculate f.
-3, -1
Solve -3*r**3 + 23*r**2 - 11*r**3 + 15*r - 22 + 6*r - 7*r**3 - r**4 = 0.
-22, -1, 1
Let p(x) be the first derivative of -x**4/14 - 12*x**3/7 - 15*x**2 - 400*x/7 + 224. Determine h, given that p(h) = 0.
-8, -5
Le