 s*h + 27*h**5 + 18*h**3 + 26*h**2 = 0.
-1/4, 0, 1, 2
Let s(p) be the second derivative of -p**6/30 + p**4/6 - p**2/2 - 17*p. Let s(t) = 0. What is t?
-1, 1
Suppose 0 = -4*d + 3*f - 7, -21 = -0*d + 2*d - 5*f. Factor 2/7*s**d + 2/7*s + 0.
2*s*(s + 1)/7
Let b(v) = v**2 + 10*v + 13. Let h be b(-9). Suppose m = -h*y + 17, -y - y - 5 = 5*m. Solve -2/3 - 2/3*w**4 - 2/3*w**y - 2/3*w + 4/3*w**2 + 4/3*w**3 = 0.
-1, 1
Let x(z) = 2*z**3 - z**4 + 25 - 3*z**2 + 2*z + 2*z - 21 + 6*z**4. Let b(p) = -p**4 - p**3 + p**2 - p - 1. Let q(v) = 4*b(v) + x(v). Factor q(m).
m**2*(m - 1)**2
Let -12/7*b**2 - 8/7 + 18/7*b + 2/7*b**3 = 0. What is b?
1, 4
Let r(y) be the first derivative of y**4 + 8*y**3/3 - 2. Factor r(f).
4*f**2*(f + 2)
Let b(o) be the second derivative of -3*o**5/4 + 25*o**4/12 - 5*o**3/6 - 5*o**2/2 - o - 21. Determine u, given that b(u) = 0.
-1/3, 1
Suppose l + 5 - 7 = 0. Let f(w) be the second derivative of 0 - 1/48*w**4 - 1/4*w**2 - 1/8*w**3 + l*w. Factor f(r).
-(r + 1)*(r + 2)/4
Find a, given that -15*a**3 - 12*a**2 + 13*a**3 - a + 4*a**4 - a + 4 = 0.
-1, 1/2, 2
Factor 1/8*h**4 - 5/8*h**3 - 1/2 + 5/8*h + 3/8*h**2.
(h - 4)*(h - 1)**2*(h + 1)/8
Let a be (70/(-105))/((-4)/9). Factor 3/2*r**2 - a + 3/2*r**3 - 3/2*r.
3*(r - 1)*(r + 1)**2/2
Let y(q) be the third derivative of q**7/525 - 11*q**6/1200 + 3*q**5/200 - q**4/240 - q**3/60 - 12*q**2. Factor y(x).
(x - 1)**3*(4*x + 1)/10
Find z such that -2/5*z**4 - 18/5*z + 0 - 6*z**2 - 14/5*z**3 = 0.
-3, -1, 0
Let p(k) = k + 21. Let d be p(-19). Factor 0 + 0*n**3 + n - 3/2*n**d + 1/2*n**4.
n*(n - 1)**2*(n + 2)/2
Let u(l) be the third derivative of l**7/210 - l**6/120 - l**5/60 + l**4/24 + 25*l**2 + 2*l. Factor u(k).
k*(k - 1)**2*(k + 1)
Suppose -3 = -b, 4*z + 3*b - 57 = -0*z. Solve z*o**2 - 1 - o - 11*o**2 + 1 = 0 for o.
0, 1
Suppose 13*o - 11*o = 4. Let v(d) be the third derivative of -1/840*d**7 - 1/240*d**5 + 0*d**4 + 0 + 0*d**3 - 1/240*d**6 + 0*d - d**o. Factor v(u).
-u**2*(u + 1)**2/4
Factor 3/2 + 3/4*g**3 + 1/4*g**4 - 3/4*g**2 - 7/4*g.
(g - 1)**2*(g + 2)*(g + 3)/4
Let k(x) be the second derivative of -x**5/100 - x**4/12 - x**3/5 + 16*x - 1. Let k(w) = 0. Calculate w.
-3, -2, 0
Let h(y) be the first derivative of 1/6*y**3 - 3/8*y**4 - y + 5 + 3/4*y**2 + 1/10*y**5. Suppose h(f) = 0. Calculate f.
-1, 1, 2
Let b = 1 + 1. Factor 3*z**4 + 4*z**3 + 2*z + 2*z + 5*z**3 - z + 9*z**b.
3*z*(z + 1)**3
Let i be ((-45)/(-10) - 3) + -1. Let p(d) be the second derivative of d - 1/2*d**2 + 0 + i*d**3 - 1/6*d**4. Factor p(c).
-(c - 1)*(2*c - 1)
Let w(f) be the second derivative of -f**5/110 + f**4/66 + 2*f**3/33 + f. Find r, given that w(r) = 0.
-1, 0, 2
Let k be (2/(-1))/((-2)/4). Suppose -7*f + 22 = -3*f - 5*z, 5*f = -k*z + 7. What is c in -f*c**2 + 2 + 3*c**2 - 2*c**2 = 0?
-1, 1
Let i(s) be the third derivative of -7*s**6/60 + 3*s**5/10 - s**4/6 - 6*s**2. Factor i(g).
-2*g*(g - 1)*(7*g - 2)
Let i(w) be the third derivative of w**7/525 + w**6/100 + w**5/75 + 6*w**2. Factor i(g).
2*g**2*(g + 1)*(g + 2)/5
Let o(i) be the first derivative of -2 + 1/2*i**4 + 0*i**2 + 0*i + 2/5*i**5 - 2/3*i**3 - 1/3*i**6. Factor o(q).
-2*q**2*(q - 1)**2*(q + 1)
Let u = 13 + -23. Let z = -17/2 - u. Factor 3/2*l**2 + 3*l + z.
3*(l + 1)**2/2
Let w(j) be the third derivative of -j**7/1960 - j**6/840 + j**5/70 + j**4/14 - j**3/2 - 5*j**2. Let n(t) be the first derivative of w(t). Factor n(i).
-3*(i - 2)*(i + 1)*(i + 2)/7
Let w(y) be the first derivative of y**4/4 - y**3/3 + 22. Factor w(o).
o**2*(o - 1)
Factor -3*r**2 - 4*r**3 - 7*r**3 + 9*r**3 + 6*r**2 - r**4.
-r**2*(r - 1)*(r + 3)
Suppose y + 0*y = 2. Let s be ((1 - 1)/y)/(-2). Factor -2/7*m**2 + 4/7*m**3 - 2/7*m**4 + 0 + s*m.
-2*m**2*(m - 1)**2/7
Suppose 4*m - 9 - 3 = 0. Let n = m - 0. Factor 4 + 0*t + 3*t - 15*t**n + 14*t**2 - 6.
-(t - 1)*(3*t - 1)*(5*t + 2)
Suppose 2/5*t + 0 - 1/5*t**2 = 0. Calculate t.
0, 2
Let f(n) be the second derivative of 0*n**6 + 0*n**2 + 0 + 0*n**3 - 2/105*n**7 - 6*n + 1/25*n**5 + 0*n**4. Factor f(m).
-4*m**3*(m - 1)*(m + 1)/5
Let t(r) be the second derivative of r**6/90 + r**5/30 - 5*r**3/6 + 6*r. Let y(z) be the second derivative of t(z). Determine b so that y(b) = 0.
-1, 0
Suppose -7*n + 75 = -2*n. Let y be (-8)/(-20) + 39/n. Find s such that -s**3 + 3*s**y - 3*s**2 - 5*s**3 = 0.
-1, 0
Let x(c) be the first derivative of -c**6/200 - 3*c**5/100 - c**4/20 + c**2/2 - 6. Let g(u) be the second derivative of x(u). Suppose g(h) = 0. Calculate h.
-2, -1, 0
Let q be ((-5)/(-2))/((-355)/(-284)). Solve 6/11*n**q - 2/11*n**3 + 2/11 - 6/11*n = 0 for n.
1
Let o(h) be the third derivative of h**5/540 - h**4/108 + h**3/54 + 8*h**2. Find v such that o(v) = 0.
1
Let y = -4178/11 + 380. Factor 4/11*u**2 + y*u**3 + 0 + 2/11*u.
2*u*(u + 1)**2/11
Let s(z) be the first derivative of 1/2*z**2 - 2*z + 1/24*z**4 + 1/4*z**3 - 1. Let a(k) be the first derivative of s(k). Factor a(x).
(x + 1)*(x + 2)/2
Let o(j) be the second derivative of j**6/360 - j**5/40 - 4*j**3/3 - 3*j. Let d(x) be the second derivative of o(x). Factor d(i).
i*(i - 3)
Suppose 0 = -38*p + 165 + 25. Factor -3/2*t**3 - 1/4*t - t**4 - 1/4*t**p - t**2 + 0.
-t*(t + 1)**4/4
Let g(o) be the third derivative of -1/15*o**6 + 0 - 2/15*o**3 - 1/6*o**4 + 0*o - 1/420*o**8 - 2/105*o**7 - 2/15*o**5 - 2*o**2. Factor g(c).
-4*(c + 1)**5/5
Let j = -321 + 327. Solve 6 + 3/2*i**2 - j*i = 0.
2
Suppose 0 = -p - 4 - 3. Let j(g) = g**3 - 8*g**2 + g - 6. Let o be j(8). Let y(z) = -z**2 + 2. Let f(u) = -3*u**2 + 7. Let b(d) = o*f(d) + p*y(d). Factor b(w).
w**2
Let o(x) = -9*x**2 - x - 1. Let a(p) = -p**2 + p - 1. Let m(h) = 5*a(h) - o(h). Factor m(l).
2*(l + 2)*(2*l - 1)
Let r(o) be the first derivative of 1/2*o**2 - 2 + 0*o + 3/8*o**4 + 5/6*o**3. Factor r(d).
d*(d + 1)*(3*d + 2)/2
Let t be 76/28 - 4/(-14). Suppose 0 = -y + t*y. Solve y*n - 1/3*n**3 + 0*n**2 + 0 = 0.
0
Let -2/5*n**2 + 0 + 6/5*n = 0. What is n?
0, 3
Suppose 8*z**2 - 39*z - 6*z + 16 + 9*z = 0. Calculate z.
1/2, 4
Let n(o) be the third derivative of o**6/120 + 2*o**5/15 - 3*o**4/8 + o**3/2 - 3*o**2. Let s be n(-9). Let 0 + 0*g**2 - 1/2*g + 1/2*g**s = 0. Calculate g.
-1, 0, 1
Let d = 0 - -3. Find n such that 4*n**5 - 7*n**3 - 4*n**4 - 3*n**5 + 3*n**d - 2*n**5 = 0.
-2, 0
Let o(c) = c. Let s(q) = -q**3 - q**2 + 4*q + 1. Suppose 5*x + 3*v = -21 - 1, 2*x + 5*v + 24 = 0. Let k(j) = x*s(j) + 6*o(j). Suppose k(z) = 0. Calculate z.
-1, 1
Let d be 4/10 + 18/5. Factor -y + y**2 + d - 4.
y*(y - 1)
Let d(m) be the third derivative of 0 + 1/75*m**5 + 1/300*m**6 + 0*m - 2/15*m**3 - 1/60*m**4 + 4*m**2. Determine i, given that d(i) = 0.
-2, -1, 1
Determine o so that 0*o - 32/7*o**3 - 4/7*o**4 - 64/7*o**2 + 0 = 0.
-4, 0
Let t(p) be the second derivative of p**4/6 - 7*p**3/3 + 10*p**2 - 33*p. Factor t(r).
2*(r - 5)*(r - 2)
Suppose 3*c = 7*c - 8. Solve 15 - 6*s + 16 - c*s**2 - 35 = 0.
-2, -1
Let w be -2*(-2)/20 - 25/125. Solve w - 2/7*y**2 + 0*y = 0 for y.
0
Let k = -4 - -9. Suppose u - 15 = -3*o, 18 = k*o - 2. Suppose 0*y**2 + 3*y**3 - 4*y**u - 3*y - 1 - 3*y**2 = 0. Calculate y.
-1
Let 26*k**3 + 7*k - 35*k - 9*k**2 - 8*k - 11*k**3 - 12 = 0. Calculate k.
-1, -2/5, 2
Let f(j) = -j**2 + 1. Suppose -3*q + 2*q - 1 = 0. Let h(x) = -2*x**2 + x + 1. Let s(n) = q*f(n) + h(n). Determine o, given that s(o) = 0.
0, 1
Let s be (55/(-22))/((-2)/16). Let y be (-3)/(s/(-8) - -1). Find r such that -2/5*r**3 - 4/5*r**y + 0 - 2/5*r = 0.
-1, 0
Let b(k) be the second derivative of k**4/3 + 20*k**3/3 + 50*k**2 + 20*k. Let b(w) = 0. What is w?
-5
Factor -a**2 + 5*a - 26*a - 12 + 14*a.
-(a + 3)*(a + 4)
Let z = -27 - -82/3. Let f(n) be the first derivative of 1/9*n**3 + 1 - z*n**2 + 0*n. What is x in f(x) = 0?
0, 2
Let z(f) be the second derivative of -f**7/280 - f**6/120 - f**3/3 + 6*f. Let h(n) be the second derivative of z(n). Determine o, given that h(o) = 0.
-1, 0
What is k in k**2 - 6 - 13*k + 0*k**2 - k**2 + 5*k**2 = 0?
-2/5, 3
Let w(x) = -x**2 + 5*x + 2. Let q be w(5). Factor 2*c**2 - 2*c**2 + c**q - 1.
(c - 1)*(c + 1)
Suppose 0 = 5*d + 15, 5*q + 162 = 5*d - 203. Let f = q - -230/3. Factor -2/3*l**3 + 2/3*l**2 + 0 + f*l - 2/3*l**4.
-2*l*(l - 1)*(l + 1)**2/3
Let v(f) = f**2 + 6*f + 10. Let c be v(-5). Factor 4*o**3 - o**3 - o**3 + 0*o**5 - o - o**c.
-o*(o - 1)**2*(o + 1)**2
Factor -s**2 - 13*s**3 - 3*s**2 + 6*s**2.