 0*s**4 + 0*s**3 + 1/420*s**6 - 6*s**2 + 2/735*s**7 + 0*s + 0*s**5. Suppose p(d) = 0. Calculate d.
-1, 0
Let k(g) be the first derivative of -g**4/4 - 2*g**3/9 + g**2/6 + 1. Factor k(v).
-v*(v + 1)*(3*v - 1)/3
Suppose -2*d = -d - 2. Suppose 5*r - 6 = d*r. Let -2*i + 0*i**4 - 5*i**4 + 4*i**4 - 3*i**r + i - 3*i**3 = 0. Calculate i.
-1, 0
Let u be -3 + (5 - 0) - 3. Let t be (u - -1)*(-3)/(-6). Factor 1/2*y**3 + t*y + 0*y**2 + 0.
y**3/2
Let p(c) be the second derivative of c**5/70 - 2*c. Factor p(m).
2*m**3/7
Let 225/2*u + 45/2*u**2 + 3/2*u**3 + 375/2 = 0. Calculate u.
-5
Let w(t) = -t**2 - 6*t - 5*t - 5 + 2*t - 1. Let z(u) = 3*u**2 + 36*u + 24. Let k(a) = 9*w(a) + 2*z(a). Determine s, given that k(s) = 0.
-2, -1
Let w(d) be the first derivative of d**5/150 - d**4/60 - 3*d**2/2 + 4. Let l(h) be the second derivative of w(h). Suppose l(a) = 0. What is a?
0, 1
Let t = 3 + 0. Let h(v) be the third derivative of -1/672*v**8 + 0*v**6 + 1/210*v**7 + 0 + 2*v**2 + 0*v + 0*v**t + 1/48*v**4 - 1/60*v**5. Solve h(i) = 0 for i.
-1, 0, 1
Let -3/5*v**2 - 18/5 - 3*v = 0. Calculate v.
-3, -2
Let j(l) = l**3 - l + 1. Suppose -u = -14 + 13. Let z(d) = 3*d**4 + d**3 - 9*d**2 - 7*d + 7. Let w(p) = u*z(p) + 5*j(p). Factor w(r).
3*(r - 1)**2*(r + 2)**2
Let z be -9 - 372/(-42) - (-26)/35. Let 12/5*i + 18/5*i**2 + z*i**4 + 3/5 + 12/5*i**3 = 0. What is i?
-1
Let k = 16 + -12. Suppose 7*q - 2*r = k*q + 4, 0 = -3*q - 2*r - 4. Factor 0*m**3 + 4/7*m**2 - 2/7 + q*m - 2/7*m**4.
-2*(m - 1)**2*(m + 1)**2/7
Let d(y) be the third derivative of -1/10*y**5 - 3*y**2 + 0*y**3 + 1/8*y**4 + 1/40*y**6 + 0 + 0*y. Factor d(r).
3*r*(r - 1)**2
Let q be 0/5 + (3 + -4)*0. Factor 0*t + q + 2/3*t**2 - 2*t**3 - 2/3*t**5 + 2*t**4.
-2*t**2*(t - 1)**3/3
Let u(c) = c**3 - 3*c**2 + 4*c + 8. Let m(o) = 2*o**3 - 4*o**2 + 6*o + 12. Let a be (2/4)/(1/(-16)). Let s(i) = a*u(i) + 5*m(i). Factor s(f).
2*(f - 1)*(f + 1)*(f + 2)
Let i(j) be the second derivative of j**4/48 + j**3/8 - 4*j. Factor i(d).
d*(d + 3)/4
Let z(d) be the third derivative of -d**7/1260 + d**6/180 - d**4/6 - 4*d**2. Let f(b) be the second derivative of z(b). Factor f(p).
-2*p*(p - 2)
Let d(c) be the second derivative of -2*c**5/15 - 5*c**4/9 + 23*c**3/36 - c**2/4 - 23*c. Factor d(f).
-(f + 3)*(4*f - 1)**2/6
Let h(t) be the first derivative of t**6/120 - t**5/40 + 2*t**3/3 + 1. Let b(z) be the third derivative of h(z). Suppose b(w) = 0. Calculate w.
0, 1
Suppose -6*h + 4*h + 4 = 0. Let t(q) be the second derivative of -3/5*q**h + q + 0 + 1/10*q**3 + 1/10*q**4 - 3/100*q**5. Factor t(z).
-3*(z - 2)*(z - 1)*(z + 1)/5
Let m(v) = 4*v - 2 + 0 + 4 + v**2. Let a be m(-4). Factor -a*u**2 + 2 + u - u.
-2*(u - 1)*(u + 1)
Determine q so that 25*q + 9*q**4 + 26*q**2 - 20*q**3 - 16*q**2 + 10 - 29*q**4 - 5*q**5 = 0.
-2, -1, 1
Factor 0*f - f**2 + 0 - 3/2*f**3.
-f**2*(3*f + 2)/2
Let r(d) be the second derivative of d**6/1260 + d**5/140 + d**4/42 - d**3/2 + 2*d. Let f(u) be the second derivative of r(u). Find v, given that f(v) = 0.
-2, -1
Let n(m) be the second derivative of -2*m**7/3 - 6*m**6/5 + m**5 + 3*m**4 + 4*m**3/3 + 6*m. Find r such that n(r) = 0.
-1, -2/7, 0, 1
Factor 25*b**3 + 114*b**2 + 10*b**3 + 36*b**2 + 40 + 180*b.
5*(b + 2)**2*(7*b + 2)
Let o(k) be the first derivative of -k**6/6 - 2*k**5/5 + 3*k**4/4 + 4*k**3/3 - 2*k**2 - 31. What is h in o(h) = 0?
-2, 0, 1
Let 8/5 - 22/5*u**4 + 4/5*u**3 + 66/5*u**2 - 56/5*u = 0. What is u?
-2, 2/11, 1
Let j(m) be the first derivative of -20*m**5 - 5*m**4 + 64*m**3/3 - 8*m**2 - 29. Determine p so that j(p) = 0.
-1, 0, 2/5
Let b(o) be the first derivative of -2/3*o**2 - 5/36*o**4 + 4/9*o**3 - 4 + 1/60*o**5 - 2*o. Let z(w) be the first derivative of b(w). Factor z(g).
(g - 2)**2*(g - 1)/3
Let -32/11 - 2/11*h**2 + 16/11*h = 0. Calculate h.
4
Let q(d) = -d**3 - 8*d**2 + 10*d + 13. Let s be q(-9). Suppose z = -z + s. Find f such that -3/2*f**z - 1/2*f**3 - 3/2*f - 1/2 = 0.
-1
Let s(k) be the second derivative of k**4/42 - 2*k**3/21 - 3*k**2/7 - 12*k. Factor s(i).
2*(i - 3)*(i + 1)/7
Let d = -196 + 1766/9. Determine b, given that 0*b - 2/9*b**3 + 0 - d*b**2 = 0.
-1, 0
Let x be -3*2*(-1)/2. Determine b so that 0*b**5 + 2*b**5 - b**3 - b**x + 0*b**3 = 0.
-1, 0, 1
Let q = -2082/5 + 418. Factor q + 2/5*j**2 - 8/5*j.
2*(j - 2)**2/5
Let t = 6 - 4. Let u be (t/12)/((-8)/(-24)). Find h, given that -u + 5/4*h + 1/2*h**2 - 5/4*h**3 = 0.
-1, 2/5, 1
Let f(q) be the first derivative of 4/21*q**3 - 4/7*q + 1/14*q**4 - 1 - 1/7*q**2. Factor f(l).
2*(l - 1)*(l + 1)*(l + 2)/7
Let k(s) be the second derivative of 1/15*s**6 - 1/21*s**7 + 0 + 1/2*s**5 - 8/3*s**3 - 1/6*s**4 - s - 4*s**2. Factor k(q).
-2*(q - 2)**2*(q + 1)**3
Let p = 163/7980 - 1/266. Let v(k) be the second derivative of 1/15*k**3 - k + 0 + 1/10*k**2 + p*k**4. Solve v(l) = 0.
-1
Factor -45*f - 27*f + 14 - 6*f**4 - 84*f**2 - 30 - 38*f**3.
-2*(f + 2)**3*(3*f + 1)
Let x = -10 - -24. Let i be x/3 - 6/9. What is g in -3*g**3 + 9*g**5 - 6*g + 9*g**4 + 6*g**2 - 21*g**2 + 6*g**i = 0?
-1, -2/3, 0, 1
Let h(r) be the second derivative of r**6/6 + 2*r**5 + 25*r**4/4 - 20*r**3/3 - 40*r**2 + 4*r. Factor h(f).
5*(f - 1)*(f + 1)*(f + 4)**2
Let l(p) = 18*p**3 - 9*p**2 - 12*p. Let b(j) = j**3 - j**2 - j. Let z(c) = -15*b(c) + l(c). Factor z(y).
3*y*(y + 1)**2
Factor -1/4*r**5 + r**3 + 2*r**2 + 0*r + 0 - 1/2*r**4.
-r**2*(r - 2)*(r + 2)**2/4
Let r(a) be the first derivative of a**7/2100 + a**6/450 - a**5/300 - a**4/30 - a**3/3 - 4. Let m(c) be the third derivative of r(c). Factor m(d).
2*(d - 1)*(d + 1)*(d + 2)/5
Let w = 961/7 + -137. Let -4/7 - 2/7*p + w*p**2 = 0. Calculate p.
-1, 2
Suppose 0 = -2*t + x - 4 + 13, 5*x = -3*t - 6. Factor 2*c**2 + 56 - 56 + c - 3*c**t.
-c*(c - 1)*(3*c + 1)
Let j(p) = -2*p + 8. Let o be j(4). Let n(m) be the third derivative of o*m**5 + 0*m + m**2 + 1/6*m**4 + 1/3*m**3 + 0 - 1/105*m**7 - 1/30*m**6. Factor n(b).
-2*(b - 1)*(b + 1)**3
Let r(t) be the second derivative of -t**5/24 + 5*t**4/36 - 15*t. What is j in r(j) = 0?
0, 2
Suppose -t + 8 = 3*t. Factor -3/2*l**t - 3*l - 3/2.
-3*(l + 1)**2/2
Let p(b) be the first derivative of -b**6/36 + b**5/30 - 8. Factor p(l).
-l**4*(l - 1)/6
Suppose 47*u - 54*u = -21. Factor 0*j - 2/9*j**2 + 0 - 2/9*j**u.
-2*j**2*(j + 1)/9
Let j(o) be the second derivative of o**7/42 - o**5/10 + o**3/6 + 2*o. Factor j(l).
l*(l - 1)**2*(l + 1)**2
Let d(f) be the third derivative of f**7/1050 + 7*f**6/600 + f**5/20 + 13*f**4/120 + 2*f**3/15 + 12*f**2. Find j such that d(j) = 0.
-4, -1
Let k(l) be the third derivative of -1/105*l**7 + 0*l**6 + 1/6*l**4 + 1/10*l**5 + 0*l**3 + 0 + 5*l**2 + 0*l. Factor k(z).
-2*z*(z - 2)*(z + 1)**2
Let g = 646 - 642. Let 0*u + 2/11*u**2 + 0 + 8/11*u**3 + 8/11*u**g = 0. Calculate u.
-1/2, 0
Suppose -b + 3*b - 6 = 0. Suppose -10 = -5*k + b*k. Factor 2*z**3 - 6*z**5 + k*z**4 + 4*z**4 - 5*z**4.
-2*z**3*(z - 1)*(3*z + 1)
Let y(g) be the first derivative of -g**6/120 - g**5/30 - g**4/24 + g**2 + 3. Let i(h) be the second derivative of y(h). Factor i(o).
-o*(o + 1)**2
Let g be 15 + -8 - 5 - 2. Factor -3/7*f**4 - 6/7*f**3 - 3/7*f**2 + g + 0*f.
-3*f**2*(f + 1)**2/7
What is t in -2/9*t**3 - 8/9 + 2/9*t**2 + 8/9*t = 0?
-2, 1, 2
Let v be 33/12 - 2/(-8). Suppose -v*z + 8 = -z. Let 6*t + 4*t**4 + 0*t - 9*t**2 - t**z = 0. What is t?
-2, 0, 1
Determine o so that -9*o**2 + 23*o**2 + 9*o + 4*o**3 - 2*o**4 + 3*o - 4*o = 0.
-1, 0, 4
Let y(r) be the first derivative of -3*r**3/4 - 3*r**2/8 + 8. Factor y(p).
-3*p*(3*p + 1)/4
Let j(h) be the third derivative of h**7/4200 + h**6/600 + h**5/200 + 5*h**4/24 - h**2. Let p(v) be the second derivative of j(v). Factor p(o).
3*(o + 1)**2/5
Let t(n) = -n**3 + 6*n**2 - 6*n + 5. Let u be t(5). Suppose -2/5*j**3 + u*j + 2/5*j**2 + 0 = 0. What is j?
0, 1
Let w(a) be the third derivative of 0 - 1/39*a**3 + 0*a**4 + 4*a**2 + 1/390*a**5 + 0*a. Solve w(i) = 0.
-1, 1
Let y(x) = x**3 + x**2 - 2*x + 1. Let n be y(1). Let o(a) = 3*a + 1. Let v be o(n). Solve -v*b - 2*b**3 + 1 + 3*b - b**2 + 3*b**3 = 0.
-1, 1
Suppose 0 + 5/2*t**4 + 5/2*t**5 - 15/2*t**3 - 5*t - 25/2*t**2 = 0. What is t?
-1, 0, 2
Let i(k) = -k**2 + 43*k + 142. Let c be i(46). Factor 0 - 3/5*v**c + 0*v**3 + 12/5*v**2 + 0*v.
-3*v**2*(v - 2)*(v + 2)/5
Let a(d) be the first derivative of d**4/2 + 2*d**3/3 - d**2 - 2*d - 6. Factor a(i).
2*(