43*h**4 - 20*h**3 - 397*h**4 - 6*h**2 - h**3 - 9*h**3 - 18*h**5 + 8*h = 0. Calculate h.
-4/9, 0, 1
Let 6/5*y**3 - 2/5*y**4 + 28/5 + 46/5*y**2 + 66/5*y = 0. What is y?
-2, -1, 7
Let p = -13 - 7. Let x = p - -26. Factor -3*h**2 + h**2 + 9*h**2 - x*h**2.
h**2
Let x(j) = 18*j**4 + 13*j**3 - 160*j**2 + 5*j - 5. Let r(u) = 8*u**4 + 6*u**3 - 80*u**2 + 2*u - 2. Let l(z) = -5*r(z) + 2*x(z). Factor l(a).
-4*a**2*(a - 4)*(a + 5)
Suppose -3*x - 15 = 0, -3*k = -8*k + 4*x + 45. Let k*o**3 - 31*o**4 + 5*o**5 + 49*o**4 - 28*o**4 = 0. Calculate o.
0, 1
Let d(u) be the second derivative of -u**9/10584 + u**7/2940 - u**3 + 11*u. Let l(y) be the second derivative of d(y). Factor l(q).
-2*q**3*(q - 1)*(q + 1)/7
Factor 1/4*o**2 - 1/4*o - 5.
(o - 5)*(o + 4)/4
Find b such that -16*b + 100/7*b**2 + 4/7*b**3 - 208/7 = 0.
-26, -1, 2
Let q(a) be the third derivative of -a**6/96 - 11*a**5/48 - 15*a**4/8 - 15*a**3/2 - 296*a**2. Suppose q(k) = 0. What is k?
-6, -3, -2
Suppose 4*v = -3*h + 76, 0*h + 74 = 3*h + 2*v. Factor -h*q**3 - 35*q**5 + 31*q**5 - 15*q**4 - 4*q - q**4 + 12*q**2 - 28*q**2.
-4*q*(q + 1)**4
Let f(w) be the third derivative of -w**8/2520 - 32*w**7/1575 - 361*w**6/900 - 163*w**5/45 - 115*w**4/9 - 200*w**3/9 - 68*w**2. Factor f(n).
-2*(n + 1)**2*(n + 10)**3/15
Let c(t) be the third derivative of t**5/15 + 4*t**4/3 + 32*t**3/3 - 4*t**2 + 36. Solve c(v) = 0 for v.
-4
Let h be 7 - 167/12 - -7. Let k(a) be the second derivative of 1/24*a**4 - 3*a - h*a**3 - 1/4*a**2 + 1/40*a**5 + 0. Determine i so that k(i) = 0.
-1, 1
Let p(m) = m**2 + 3. Let i be p(8). Let y = i - 21. Let -2*d**4 - y*d + 46*d + 2*d**2 + 2*d**3 - 2*d**5 = 0. What is d?
-1, 0, 1
Let j(w) be the third derivative of -w**5/210 + w**4/12 + 8*w**3/21 - 428*w**2 - 1. Factor j(q).
-2*(q - 8)*(q + 1)/7
Let a(w) be the first derivative of w**6/2520 + w**5/120 - 5*w**3 + 36. Let t(o) be the third derivative of a(o). Factor t(g).
g*(g + 7)/7
Let g = 1078/17 - 5373/85. Factor 0*k**2 + 0*k + g*k**3 + 0.
k**3/5
Let r(q) be the third derivative of -1/6*q**5 + 0*q - 1/3*q**3 + 2/35*q**7 + 3/8*q**4 - 5/336*q**8 - 1/30*q**6 + 0 + 28*q**2. Find w, given that r(w) = 0.
-1, 2/5, 1
Suppose -c = 2*b - 9, 4*b - 25 = -5*c - 4. Suppose -2*o + 5*o**3 - 4*o**2 + b*o**3 - 11*o**3 = 0. Calculate o.
-1, 0
Let s(p) = -4*p**3 - 173*p**2 - 334*p - 203. Let k(h) = -h**3 - 57*h**2 - 111*h - 67. Let d(r) = 19*k(r) - 6*s(r). Suppose d(b) = 0. Calculate b.
-1, 11
Factor -190 - r**2 + 28*r + 150 - 3*r**2.
-4*(r - 5)*(r - 2)
Let r(t) = -16*t**3 - 140*t**2 + 140*t. Let h(i) = -19*i**3 - 141*i**2 + 140*i. Let z(x) = -4*h(x) + 5*r(x). Solve z(c) = 0 for c.
-35, 0, 1
Let x(m) = -m**4 + m**3 - m**2. Let a(p) = 2*p**4 + 50*p**3 - 174*p**2 + 208*p - 80. Let g(d) = -a(d) - 6*x(d). Factor g(t).
4*(t - 10)*(t - 2)*(t - 1)**2
Let b = 261 + -261. Let q(n) be the third derivative of b*n**3 + 0*n**4 + 1/45*n**5 + 1/504*n**8 + 5*n**2 + 0 + 0*n**7 - 1/60*n**6 + 0*n. Factor q(u).
2*u**2*(u - 1)**2*(u + 2)/3
Let p be (3 + 0)/((-3)/(-64)). Let k = p + -446/7. Suppose 6/7*u**2 + 0 - k*u - 6/7*u**3 + 2/7*u**4 = 0. Calculate u.
0, 1
Solve 75625/4 + 1/4*z**2 - 275/2*z = 0.
275
Suppose -5*g + 3 = -17. Factor 4*d - 9*d**g - d + 9*d**2 + 0*d - 4*d**3 + d**3.
-3*d*(d - 1)*(d + 1)*(3*d + 1)
Let s = -16 + 21. Suppose 27 = l + 7*a - 2*a, 2*a = s*l. Factor 3 - 4*c - 4*c**2 + 4*c**2 - 5 + l*c**4 + 4*c**3.
2*(c - 1)*(c + 1)**3
Suppose -11*s + 168 = 125*s - 240. Factor 6/11*v**2 - 4/11*v + 0 + 0*v**s - 2/11*v**4.
-2*v*(v - 1)**2*(v + 2)/11
Let l(s) be the second derivative of s**4/60 - 2*s**3/5 + 16*s**2/5 + 2*s + 13. Solve l(r) = 0.
4, 8
Let d(b) be the third derivative of -1/3*b**3 - 2*b**2 + 0*b**6 + 0 + 1/280*b**7 + 0*b**4 + 0*b**5 + 0*b. Let q(z) be the first derivative of d(z). Factor q(c).
3*c**3
Let f = 0 - -3. Suppose -k = -1 - f. What is q in -4 + 6*q**2 + 4*q**3 - q + 1 - 3*q**5 + 1 - 4*q**k = 0?
-1, 2/3, 1
Let c(q) be the first derivative of q**4 - 8*q**3 - 54*q**2 + 183. Factor c(i).
4*i*(i - 9)*(i + 3)
Let y = -1106/9 + 4738/45. Let a = 802/45 + y. Factor -a*g**2 + 4/9*g - 2/9.
-2*(g - 1)**2/9
Solve 87*x + 21 - 57*x**3 - 12*x**4 + 171*x**2 + 86*x - 296*x = 0 for x.
-7, 1/4, 1
Suppose 0 = v + 3*x + 136 - 118, 2*v - x - 13 = 0. Factor 6*u**4 + 0 - 21/2*u**v + 3*u**2 + 3/2*u.
3*u*(u - 1)**2*(4*u + 1)/2
Factor 6*p**3 - 2*p**4 - 3*p**4 + 2*p**4 + 122*p**2 - 125*p**2.
-3*p**2*(p - 1)**2
Let q(d) be the second derivative of 0 + 0*d**5 - 1/15*d**3 + 0*d**2 + 2/75*d**6 + d - 1/15*d**4 + 1/105*d**7. Factor q(z).
2*z*(z - 1)*(z + 1)**3/5
Let m be ((-20)/30)/((-2)/216). Let i = 362/5 - m. Factor i - 4/5*u + 2/5*u**2.
2*(u - 1)**2/5
Suppose 4*d = -5*t - 5 + 3, -4*d = -4*t + 20. Factor 15*i**3 - 4*i**4 - 21*i**2 + 2*i**4 + t*i + 7*i - i**4.
-3*i*(i - 3)*(i - 1)**2
Suppose -5*p + 5*r + 60 = 0, 5*p + 25 = -4*r + 22. Factor -8/3*z**4 + 0*z + 10/3*z**3 + 0 + 2/3*z**p - 4/3*z**2.
2*z**2*(z - 2)*(z - 1)**2/3
Suppose 4*k - 18 = -2*p, -4*p = 3*k - 267 + 241. Factor 0*q - 1/4*q**3 + 0 - 1/4*q**k.
-q**2*(q + 1)/4
Let k(p) = -2*p**4 - 12*p**3 - 16*p**2 - 2. Let w be 2*(3 + (-16)/4). Let x(h) = -10*h**4 - 60*h**3 - 79*h**2 - 11. Let a(j) = w*x(j) + 11*k(j). Factor a(m).
-2*m**2*(m + 3)**2
Let z = -43 + 37. Let j be 13 + -11 + (-4)/z. Determine h so that 2/3*h**2 - 8/3*h + j = 0.
2
Let v(k) be the second derivative of -1/147*k**7 - 13*k + 1/7*k**2 - 1/35*k**6 + 1/21*k**4 + 0 - 1/35*k**5 + 1/7*k**3. Let v(y) = 0. What is y?
-1, 1
Let l(b) be the second derivative of -b**6/75 - b**5/5 - 29*b**4/30 - 32*b**3/15 - 12*b**2/5 - 149*b. Determine t, given that l(t) = 0.
-6, -2, -1
Let a = 259 - 1291/5. Factor -121/5*b**2 + 44/5*b - a.
-(11*b - 2)**2/5
What is x in 94/3*x**2 - 8*x**4 - 11/3*x**5 + 8/3 + 29/3*x**3 + 20*x = 0?
-2, -1, -2/11, 2
Let l = 3 - 6. Let j be (-1)/3 + (-7)/l. Let -4 + 15*z**3 - 1 + 24*z**j - 1 + 3*z = 0. What is z?
-1, 2/5
Let o(b) = -b**4 + 19*b**3 - b**2 - 27*b + 3. Let d(s) = -4*s**4 + 96*s**3 - 4*s**2 - 136*s + 16. Let u(q) = -3*d(q) + 16*o(q). Factor u(y).
-4*y*(y - 3)*(y - 2)*(y + 1)
Let p = 1956 - 1945. Let w(i) be the first derivative of p - 5/4*i**4 + 5/3*i**3 + 0*i - i**5 + 5/2*i**2. Factor w(k).
-5*k*(k - 1)*(k + 1)**2
Suppose 5*s**5 - 20*s**4 - 110*s**2 + 120*s**3 - 13*s**4 - 206*s + 241*s - 17*s**4 = 0. Calculate s.
0, 1, 7
Let o(j) be the first derivative of -j**7/2520 + j**6/135 - 13*j**5/360 + j**4/12 - 16*j**3/3 - 22. Let i(c) be the third derivative of o(c). Factor i(y).
-(y - 6)*(y - 1)**2/3
Let g be (24/(-56))/(15/(-14)). Factor -6/5 - g*t**2 + 8/5*t.
-2*(t - 3)*(t - 1)/5
Let t(w) be the second derivative of -w**5/4 - 65*w**4/12 + 40*w**3/3 + 70*w**2 - 2*w - 10. Suppose t(x) = 0. What is x?
-14, -1, 2
Let s(h) be the third derivative of -h**7/1050 + h**6/120 - h**5/75 - 20*h**2. Factor s(m).
-m**2*(m - 4)*(m - 1)/5
Let k be (-1 + 18/14)/(-5 - (-792)/154). Factor -6/11*d - 2/11*d**3 - 2/11 - 6/11*d**k.
-2*(d + 1)**3/11
Suppose -2*o + p + 10 = 0, -5*p = 5*o - 2 - 23. Let g be o + (5 + -2 - 6). Solve -1/4*i**4 + 1/4*i**g + 1/4*i**5 + 0 + 0*i - 1/4*i**3 = 0.
-1, 0, 1
Let a(q) be the first derivative of -3*q**5/40 + 3*q**4/8 + q**3 + 23*q - 15. Let g(l) be the first derivative of a(l). Factor g(c).
-3*c*(c - 4)*(c + 1)/2
Let k(o) = 14*o**5 - o**4 + 3*o**3 - 9*o**2. Let j(a) = -3*a**5 - a**3 + 2*a**2. Let c(w) = -9*j(w) - 2*k(w). Factor c(n).
-n**3*(n - 3)*(n + 1)
Let x(j) be the third derivative of -j**7/8820 + j**6/1890 - 13*j**3/6 - 10*j**2. Let k(t) be the first derivative of x(t). Determine u, given that k(u) = 0.
0, 2
Let v(c) be the third derivative of -c**5/20 + 29*c**4/2 - 1682*c**3 + 133*c**2. Solve v(y) = 0.
58
Let l(m) be the first derivative of -m**4/2 + 2*m**3/33 - 34. Factor l(h).
-2*h**2*(11*h - 1)/11
Suppose 7*i + 180 = 37*i. Let m(y) be the first derivative of -3/10*y**5 - i + 3*y**2 - 15/8*y**4 + 12*y - 3*y**3. Factor m(w).
-3*(w - 1)*(w + 2)**3/2
Let v be 2 - 0 - 3 - -88. Factor 0*f**3 + 86*f - v*f + f**3.
f*(f - 1)*(f + 1)
Let k be 64/12*(-30)/(-4). Let f be (-6)/(k/12 + -4). Find v such that -9*v**3 - 21*v**2 + 3*v**3 - 9*v - 3*v**4 - f*v**3 = 0.
-3, -1, 0
Let p(w) be the second derivative of w**6/40 + w**5/20 + w**2 + 9*w. Let s(r) be the first derivative of p(r). Factor s(a).
3*a**2*(a + 1)
Suppose 3 = k + 1. Let w be ((12/(-10)