.
-(h - 2)**2*(h + 1)
Suppose 10 = 5*u - 0*u. Let g = 5/52 - -381/364. Suppose -6/7*b**4 + 2/7*b**u + 4/7*b + 0 - g*b**3 = 0. Calculate b.
-1, 0, 2/3
Factor 0 + 0*i - 14/3*i**2 + 2/3*i**3.
2*i**2*(i - 7)/3
Let t(m) be the first derivative of -m**8/3360 - m**7/420 - 10*m**3 + 26. Let j(q) be the third derivative of t(q). Factor j(c).
-c**3*(c + 4)/2
Suppose -7*b = 54 - 89. Let n(o) be the third derivative of -1/360*o**6 + 0*o - 1/72*o**4 + 0*o**3 - 4*o**2 - 1/90*o**b + 0. Let n(c) = 0. What is c?
-1, 0
Let 166/17*o**3 + 0 - 2/17*o**4 - 3526/17*o**2 + 3362/17*o = 0. What is o?
0, 1, 41
Factor -6*d + 14*d**2 + 3*d**4 - 19*d**2 - 4*d**2.
3*d*(d - 2)*(d + 1)**2
Let v(f) be the second derivative of -f**5/60 - 11*f**4/36 + 25*f**3/18 - 13*f**2/6 - 266*f + 2. Determine r, given that v(r) = 0.
-13, 1
Suppose -2*t - 2*p = 0, -t + 2 = 2*t + 2*p. Let -25*y**4 - 5*y**5 + 96*y**t + 61*y - 43*y + 40 - 11*y**2 + 92*y - 5*y**3 = 0. What is y?
-4, -1, 2
Let o(i) be the third derivative of -i**8/476 - 121*i**7/1785 - 149*i**6/255 + 48*i**5/17 + 3136*i**4/51 + 2048*i**3/51 - 302*i**2. Find h such that o(h) = 0.
-8, -1/6, 4
Let s(y) = y**2 - 3*y. Let a be s(3). Suppose -4*f - o + 21 = a, -4*f - 5 = -3*o - 6. Let -29 + 10*p**f + 14*p**5 + 0*p**4 - 4*p**3 + 29 = 0. What is p?
-1, 0, 2/7
Let h(i) be the second derivative of -1/100*i**5 + 0 - 2/5*i**2 - 1/12*i**4 - 4/15*i**3 + 3*i. Factor h(s).
-(s + 1)*(s + 2)**2/5
Let r(g) = -1. Let c(f) = 2*f + 2. Let k be c(-2). Let w(v) = -v**3 - 8*v**2 - 16*v + 2. Let d(p) = k*r(p) - w(p). Suppose d(y) = 0. Calculate y.
-4, 0
Let h(k) be the second derivative of 0 + 0*k**4 + 0*k**3 - 16*k + 0*k**2 - 27/35*k**5 + 6/35*k**6 - 1/98*k**7. Let h(m) = 0. Calculate m.
0, 6
Let z(m) = -m**2 + m. Let v(r) = 3*r**2 - 294*r + 21316. Let h(k) = v(k) + 2*z(k). Factor h(b).
(b - 146)**2
Let d = -1732 - -1759. Factor -9/4*o**5 - 6*o - d*o**2 + 0 - 57/4*o**4 - 63/2*o**3.
-3*o*(o + 2)**3*(3*o + 1)/4
Let p be (-4)/(-8)*(-4 + 4). Suppose -2*c + 3*m - 5 = 0, 5*c + p = 2*m + 4. Solve 3*v**3 - 11*v**2 + v**2 - 5*v**2 + 12 + 6*v**c = 0.
-1, 2
Factor -86/5*y**2 + 0 + 2/5*y**3 + 164/5*y.
2*y*(y - 41)*(y - 2)/5
Let s = 29 - 11. Let x(f) = f**3 + 9*f**2 + f + 13. Let g be x(-9). Let 6*a - 4 + 4 - 3*a**g - 6*a**3 + 21*a**2 - s*a**4 = 0. Calculate a.
-1, -2/7, 0, 1
Let t(r) be the second derivative of -9/10*r**3 + 2 + 25*r - 1/100*r**5 + 3/20*r**4 + 27/10*r**2. Suppose t(o) = 0. Calculate o.
3
Let p = 120 - 116. Let x(v) = -v**2 - 10*v - 7. Let r be x(-9). Factor w**4 - 14*w**2 + 14*w**r + 3*w**p.
4*w**4
Let m = 46 - 22. Suppose 0 = 5*j + m - 49. Factor 0 + 2/3*x**4 + 0*x + 1/3*x**j + 1/3*x**3 + 0*x**2.
x**3*(x + 1)**2/3
Factor 266*y**3 - 145*y**2 - 528*y**3 + 267*y**3.
5*y**2*(y - 29)
Suppose 2*z**3 + z**2 + 44*z + 14*z**2 - z**3 - 30*z = 0. Calculate z.
-14, -1, 0
Let m = -121 + 176. Factor 8*w**2 - 3*w**2 + m - 10*w - 70.
5*(w - 3)*(w + 1)
Let t be ((-1)/3)/((-5)/30). Factor -16 + 3*q**4 - 4*q**t - 16*q**3 + 16*q**2 + 11*q + q**4 + 5*q.
4*(q - 2)**2*(q - 1)*(q + 1)
Suppose -14/9*t - 34/9*t**2 - 4/9*t**3 + 16/9 = 0. Calculate t.
-8, -1, 1/2
Let r(o) be the first derivative of 4/5*o + 11/10*o**2 + 3/5*o**3 + 1/20*o**4 + 6 - 1/25*o**5. Determine m, given that r(m) = 0.
-1, 4
Let r(z) be the second derivative of z**7/36 - 11*z**6/18 + 299*z**5/60 - 37*z**4/2 + 99*z**3/4 + 63*z**2/2 - 889*z. Factor r(t).
(t - 7)*(t - 3)**3*(7*t + 2)/6
Suppose 3*s - 23 = -2*j + j, 3*j - s - 19 = 0. Suppose i = -i + j. Determine r, given that -3*r**3 + 2*r**2 - r**i + r**2 + 3*r**5 - 6*r**2 + 4*r**4 = 0.
-1, 0, 1
Let c(y) = 2*y**4 - 14*y**3 + 13*y**2 - y - 3. Let v(t) = -4*t**4 + 30*t**3 - 27*t**2 + t + 7. Let g(s) = -7*c(s) - 3*v(s). Find i, given that g(i) = 0.
0, 1, 2
Solve 0 + m**4 + 4/3*m - 1/3*m**3 - 4*m**2 = 0 for m.
-2, 0, 1/3, 2
Let t(s) be the second derivative of -5*s**7/42 - s**6/2 + 3*s**5/2 + 25*s**4/6 - 35*s**3/2 + 45*s**2/2 + 22*s - 3. Factor t(c).
-5*(c - 1)**3*(c + 3)**2
Let k(p) be the third derivative of 0*p + 0 - 9*p**2 - 9/8*p**4 - 3/10*p**5 + 0*p**3 - 1/40*p**6. Factor k(r).
-3*r*(r + 3)**2
Suppose 2*m + 3*m = -4*k - 17, 2*m + 12 = k. Let o(g) be the second derivative of 0 - 1/24*g**4 + 7*g + 1/24*g**3 - 1/80*g**5 + 1/4*g**k. Factor o(n).
-(n - 1)*(n + 1)*(n + 2)/4
Let d(a) be the second derivative of -a**9/9072 + a**8/672 - a**4/12 + a**3/6 - 4*a - 3. Let o(g) be the third derivative of d(g). Solve o(k) = 0.
0, 6
Factor -28*x**2 + 20 - 14*x - 16 + 68*x.
-2*(x - 2)*(14*x + 1)
Let t = 62 - 60. Suppose -4*i - 24*i**3 + i**t - 4*i**5 - 3*i**2 - 2*i**2 - 12*i**2 - 16*i**4 = 0. What is i?
-1, 0
Let f(a) = -a**2 + 4*a - 1. Let v(p) = -10*p**2 - 4*p + 26. Let h(w) = -6*f(w) + v(w). Solve h(i) = 0 for i.
-8, 1
Factor -12 - 2*u**2 - 2*u**3 + 6*u**2 - 50163*u + 50173*u.
-2*(u - 3)*(u - 1)*(u + 2)
Let n be 707/(-63) - -11 - (-224)/360. Factor -4/5*j + n*j**2 + 0.
2*j*(j - 2)/5
Let r(b) be the third derivative of 11*b**2 - 1/80*b**6 + 1/40*b**5 + 0*b + 0 - 1/4*b**3 + 1/16*b**4. Determine h so that r(h) = 0.
-1, 1
Let l(a) be the second derivative of -9*a + 0*a**3 - 1/70*a**5 + 0*a**2 - 1/21*a**4 + 0. Factor l(x).
-2*x**2*(x + 2)/7
Let w(g) = g**3 + 199*g**2 + 2680*g + 6351. Let d(u) = 3*u**3 + 397*u**2 + 5356*u + 12701. Let y(p) = 3*d(p) - 5*w(p). Factor y(b).
4*(b + 3)*(b + 23)**2
Let u be 0/((8/(-2) - -6)/(-2)). Let a(s) be the third derivative of 2/9*s**3 - 1/90*s**5 + u*s + 0 - 5*s**2 + 1/36*s**4. Suppose a(w) = 0. What is w?
-1, 2
Let l(h) = h + 7. Let i be l(-2). Determine j, given that 0*j**4 + 2*j**5 + 5*j**3 + 2*j**4 - i*j**3 - 4*j**3 = 0.
-2, 0, 1
Let l = 311 - 146. Let k be (-2)/((-20)/6) + 121/l. Factor -8/3 - k*m + 4/3*m**2.
4*(m - 2)*(m + 1)/3
Let l(q) = q**2 + 21*q + 90. Let v be l(-15). Suppose 16 + 10 = 13*z. Find u such that 0 + 4/3*u**5 + 20/3*u**3 + 16/3*u**4 + 8/3*u**z + v*u = 0.
-2, -1, 0
Solve -50/3*h + 625/3 + 1/3*h**2 = 0.
25
Let -300*r + 223 + 90*r**2 + 115 - 5*r**3 + 63 - 121 = 0. What is r?
2, 14
Let i(n) be the first derivative of 0*n**4 - n**3 + 1/1800*n**6 + 0*n**5 + 0*n**2 + 0*n + 6. Let s(j) be the third derivative of i(j). Factor s(d).
d**2/5
Let i(z) be the second derivative of 7*z**4/6 - 103*z**3/3 - 30*z**2 + 21*z. Factor i(o).
2*(o - 15)*(7*o + 2)
Suppose 0 = 3*p + 5*h - 35, -1 = -3*p - 2*h + 22. Suppose 3*b + 24 = p*k, -3*b + 0 = 4*k - 3. Solve 1/2*t**k + 0 - t + 1/2*t**2 = 0 for t.
-2, 0, 1
Suppose -8*m = -3*m - 55. Let g = m + -183/17. Factor -2/17*b**3 + 2/17*b + 4/17 - g*b**2.
-2*(b - 1)*(b + 1)*(b + 2)/17
Let c(h) = 5*h + 5. Let l be c(3). Let g = l + -18. Factor 4*u**g - u**2 - u**2 - u**2.
u**2
Let c(y) be the third derivative of 3/20*y**5 + 1/140*y**7 - 2*y**2 + 1/16*y**6 + 0 + 0*y - 1/4*y**4 - 2*y**3. Factor c(l).
3*(l - 1)*(l + 2)**3/2
Let w(h) = h**2 + 7*h + 11. Let y be w(-4). Let s be (1 - (-3 + 3) - 3)*y. Determine b so that -7/5*b**s + 2/5 - b = 0.
-1, 2/7
Let b(h) be the first derivative of h**6/6 + 16*h**5/5 + 7*h**4/2 - 16*h**3/3 - 15*h**2/2 + 110. Factor b(g).
g*(g - 1)*(g + 1)**2*(g + 15)
Let p be (-4)/(-7) - 24/(-7). Factor 0*l**4 + l**2 + 2*l**2 - 3*l**p.
-3*l**2*(l - 1)*(l + 1)
Let u(q) be the third derivative of -q**8/336 + q**7/84 + q**6/72 - q**5/12 + 4*q**3/3 - 11*q**2. Let s(m) be the first derivative of u(m). Factor s(p).
-5*p*(p - 2)*(p - 1)*(p + 1)
Let r = -41 + 80. Factor -4 - r*n**3 + 24*n**2 + 12*n + 3*n**3 + 4*n**3.
-4*(n - 1)*(2*n + 1)*(4*n - 1)
Let -204*g**4 + 75*g**2 - 400*g + 395*g**3 - 670*g**2 + 299*g**4 + 500 + 5*g**5 = 0. Calculate g.
-10, -1, 1
Let k(h) = 5*h**3 + 5*h**2 - 12. Let s(i) = 11*i**3 + 8*i**2 - 24. Let a(c) = -5*k(c) + 2*s(c). Solve a(z) = 0 for z.
-2, 1
Let f be (-34)/(-10) + 12/(-30). Suppose f*s + 105 = 3*o, s = 4*o - 99 - 26. Find k such that 16*k**4 - 24*k**3 + 4*k - 4*k**2 + o*k**3 - 22*k**3 = 0.
-1/2, 0, 1/2, 1
Solve -972 - 702*d + 231*d**2 + 363/2*d**3 = 0.
-18/11, 2
Let s be (-40)/(-25)*(-130)/(-104). Find x such that 2/15*x**s + 0 + 2/15*x = 0.
-1, 0
Let t(j) = -j + 1. Let h(a) = 3*a**4 - 6*a**3 - 3*a**2 + 2*a + 4. Let s(q) = h(q) - 4*t(q). Find x, given that s(x) = 0.
-1, 0, 1, 2
Let c(b) be the third derivative of -b**7/105 + b**6/15 + b**5/5 - b**4/3 - 5*b**3/3 + 300*b**2. Solve c(d) = 0.
-1, 1, 5
Suppose 5*s - 15 = 5*o, -7*o - 3 = -3*o - s. Let d(x) be th