175 + r**6/300 - r**5/50 - r**4/30 - 26*r**2. Let o(d) = 0. Calculate d.
-2, -1, 0, 1
Suppose -38 - 38 = -4*l. Factor 4*p**2 - l*p + 47*p + 65*p - 13*p + 400.
4*(p + 10)**2
Let a = 147/5 - 439/15. Let n(r) be the first derivative of -1/5*r**2 + 2/25*r**5 + 1/10*r**4 - a*r**3 + 2 + 0*r. Factor n(m).
2*m*(m - 1)*(m + 1)**2/5
Let l(c) = 3*c**4 + 16*c**3 + 88*c**2 + 202*c + 125. Let k(o) = -16*o**4 - 80*o**3 - 439*o**2 - 1011*o - 625. Let d(i) = 2*k(i) + 11*l(i). Solve d(z) = 0.
-5, -1
Let j(g) be the first derivative of -g**7/189 - 4*g**6/135 + g**5/90 + 2*g**4/27 - 21*g - 28. Let d(z) be the first derivative of j(z). Solve d(f) = 0 for f.
-4, -1, 0, 1
Suppose 3*x + 6 = 4*x. Suppose -10 = -v - x. Factor -7 + v + 3 - y**2 + y**3.
y**2*(y - 1)
Let a be 39/42 + 33/154*(-16)/(-6). Let 21/4*v + 3/2 + a*v**2 - 9/4*v**3 = 0. Calculate v.
-1, -1/3, 2
Let l(b) be the first derivative of 46/9*b**3 + b**4 + 2*b - 16/3*b**2 + 8/9*b**6 - 56/15*b**5 - 3. Let l(m) = 0. What is m?
-1, 1/2, 3
Let i(d) = d**2 - 21*d - 44. Let s be i(23). What is k in k**2 + 5*k + 15*k**3 - 49*k**2 + 30 - s*k**2 = 0?
-2/3, 1, 3
Let h = -125935/17 + 7409. Factor 2/17*j**2 + 0*j - h.
2*(j - 3)*(j + 3)/17
Let y = 26168/7 + -3736. Determine k, given that 0 + 1/7*k**3 + y*k + 8/7*k**2 = 0.
-4, 0
Let n(t) = -2*t**2 - 25*t - 9. Let p be n(-12). Suppose 4*d - 28 = -4*v, -4*d - 8 + 34 = p*v. Factor -4/9*o - 2/9*o**v - 2/9.
-2*(o + 1)**2/9
Let o(n) be the first derivative of -2*n**5/15 - 23*n**4/6 - 112*n**3/3 - 132*n**2 - 539. Factor o(s).
-2*s*(s + 6)**2*(s + 11)/3
Let b = -706 - -1823/3. Let i = -97 - b. Solve 0*f**2 - 4/3*f**3 + i*f - 2/3 + 2/3*f**4 = 0 for f.
-1, 1
Let z(g) = -g**3 - 7*g**2 + 8*g. Let p be z(-8). Let h(u) = 18*u + 237. Let r be h(-13). Factor 0*c**r - 1/2*c**4 + c + 3/2*c**2 + p.
-c*(c - 2)*(c + 1)**2/2
Let m(j) be the third derivative of 1/30*j**5 + j**2 - 1/210*j**7 + 0*j + 1/120*j**6 + 0*j**4 + 0*j**3 + 0. Factor m(y).
-y**2*(y - 2)*(y + 1)
Let t(b) be the second derivative of b**5/4 + 35*b**4/12 + 25*b**3/2 + 45*b**2/2 - 13*b. Factor t(f).
5*(f + 1)*(f + 3)**2
Let g be (1 - -1) + 0 + 0 + 2. Let k(i) be the second derivative of -g*i - 4/3*i**4 - 7/3*i**3 - 2*i**2 - 3/10*i**5 + 0. Find p such that k(p) = 0.
-1, -2/3
Find f such that 7/2*f**2 - 2*f**3 + f + 0 = 0.
-1/4, 0, 2
Factor 3*a**3 + 5/9*a**4 + 2/3 + 5*a**2 + 29/9*a.
(a + 1)**2*(a + 3)*(5*a + 2)/9
Let l = 69 - 65. Determine k, given that -340 - l*k + 4*k**2 + 332 + 0*k**2 = 0.
-1, 2
Suppose -10 = -2*s + 4*z, 0 = -s - z - 3*z + 23. Find m such that 55*m**2 + s*m**3 + 64 + 175*m - 6*m**3 + 61 = 0.
-5, -1
Find q, given that -28/19*q**4 - 352/19*q - 146/19*q**3 - 128/19 - 2/19*q**5 - 344/19*q**2 = 0.
-4, -1
Let q(s) be the third derivative of s**7/10 + s**6/8 - 9*s**5/20 - 5*s**4/8 + s**3 + 232*s**2. Factor q(n).
3*(n - 1)*(n + 1)**2*(7*n - 2)
Let g(a) be the first derivative of a**5/20 - a**4/2 + 3*a**3/2 - 2*a**2 - 7*a + 8. Let p(d) be the first derivative of g(d). Factor p(m).
(m - 4)*(m - 1)**2
Solve 8/13*s - 40/13 - 98/13*s**3 + 490/13*s**2 = 0 for s.
-2/7, 2/7, 5
Let s(j) be the first derivative of j**7/210 - j**6/45 - j**5/30 + j**4/3 - 20*j**3/3 + 3. Let w(n) be the third derivative of s(n). Let w(o) = 0. What is o?
-1, 1, 2
Solve 1/6*x**5 + 1/2*x**3 - 2/3*x - 2/3*x**4 + 2/3*x**2 + 0 = 0 for x.
-1, 0, 1, 2
Suppose 26 = 2*g + 5*x, -5*g - 13 = -8*g - x. Let j be 3/(-4)*4 + g. Factor 0 + 0*w + j*w**2 - 1/3*w**3 - 7/6*w**4.
-w**3*(7*w + 2)/6
Let n(t) be the second derivative of -2/15*t**6 + 5/6*t**3 - 7*t - 1/5*t**5 + t**2 + 1/6*t**4 + 0 - 1/42*t**7. Solve n(g) = 0 for g.
-2, -1, 1
Let b be (14/18)/(((-392)/(-48))/7). Factor 0 + 2*k**3 - 2/3*k**4 - 2*k + b*k**2.
-2*k*(k - 3)*(k - 1)*(k + 1)/3
Find m such that 450/7*m**3 - 138/7*m**2 + 0 + 30/7*m**5 - 48/7*m - 42*m**4 = 0.
-1/5, 0, 1, 8
Find a, given that -90 + 165/2*a - 25*a**2 + 5/2*a**3 = 0.
3, 4
Let l be (-1)/(((-14)/(-3))/((-4)/6)). Let b(k) be the second derivative of -l*k**3 + 0 + 1/14*k**4 + 1/7*k**2 + 9*k - 1/70*k**5. Factor b(q).
-2*(q - 1)**3/7
Let s = 2/31181 + 24664165/93543. Let t = s - 263. Factor -8/3 - t*v**3 + 2/3*v**2 + 8/3*v.
-2*(v - 2)*(v - 1)*(v + 2)/3
Suppose 0 = -2*o - 2*i + 60, o + 4*i - 29 = -8. Let s be (o/(-44)*16/(-9))/4. Factor -2/3 - s*g**2 - g.
-(g + 1)*(g + 2)/3
Suppose n - 11 = 4*n + 4*d, 0 = 2*n - d - 11. Suppose 4*h + 3*q = 24, n*q + 1 = -h + 4*q. Factor 5*w**5 - 4*w**5 + 0*w**5 - w**h + 0*w**5.
w**3*(w - 1)*(w + 1)
Let w = 362 + -218. Let p = w + -708/5. Factor -18/5 - p*y - 2/5*y**2.
-2*(y + 3)**2/5
Suppose -3*t + 105 = 2*t. Let x(r) = 9*r**2 + 69*r + 21. Let i be (-7)/4 - (-10)/(-40). Let s(z) = z**2 + 7*z + 2. Let w(a) = i*x(a) + t*s(a). Factor w(k).
3*k*(k + 3)
Let u be ((-7)/15 - 12/36)*25. Let h be u/(-96)*2 - (-1)/4. Factor -2/3*n**2 + h + 0*n.
-2*(n - 1)*(n + 1)/3
Let i(p) = -2*p**2 + 38*p - 3. Let q(v) = 5*v**2 - 78*v + 7. Let y(t) = 7*i(t) + 3*q(t). Let y(g) = 0. Calculate g.
-32, 0
Let f(u) be the third derivative of -u**6/360 - 79*u**5/180 - 190*u**4/9 + 800*u**3/9 + 3*u**2 - 42*u. Factor f(k).
-(k - 1)*(k + 40)**2/3
Let g(c) be the third derivative of -1/240*c**6 + 1/4*c**3 - 1/40*c**5 + 21*c**2 + 0*c + 0 + 1/48*c**4. Suppose g(y) = 0. Calculate y.
-3, -1, 1
Find l, given that -2/17*l**2 + 128/17*l - 126/17 = 0.
1, 63
Factor 34*t**4 + 13*t**2 + 26*t**3 - 18*t + 12*t - 27*t**4.
t*(t + 1)*(t + 3)*(7*t - 2)
Let 0 + 1/11*o**2 + 5/11*o = 0. Calculate o.
-5, 0
Let j(d) = d**3 + 12*d**2 - d - 16. Let a(v) = 12*v**2 - 15. Suppose 8 = -0*l - 2*l. Let g(f) = l*a(f) + 3*j(f). Let g(p) = 0. What is p?
-1, 1, 4
Let l(h) be the second derivative of -2*h**2 + 0 + 2/15*h**6 - 17/20*h**5 - 12*h + 0*h**4 + 17/6*h**3. What is n in l(n) = 0?
-1, 1/4, 1, 4
Factor 2*j**2 + j**2 - 66*j + 7*j**2 - 2*j**2 - 5*j**2.
3*j*(j - 22)
Let v(d) be the first derivative of -d**6/12 + 13*d**5/10 - 6*d**4 + 6*d**3 + 56. Solve v(u) = 0 for u.
0, 1, 6
Let v(x) be the first derivative of -2/27*x**3 + 2/9*x**2 + 9 + 2/3*x. Factor v(z).
-2*(z - 3)*(z + 1)/9
Let k be (-944)/(-6) + 3/9. Let t = -157 + k. Factor 22/3*r**2 + t + 10/3*r**3 + 14/3*r.
2*(r + 1)**2*(5*r + 1)/3
Let h(o) be the first derivative of -o**6/9 + 2*o**5/3 + 13*o**4/6 + 14*o**3/9 - 206. Factor h(u).
-2*u**2*(u - 7)*(u + 1)**2/3
Factor f**4 - 21*f**2 + 7901*f**3 - 7956*f**3 - 35*f**2.
f**2*(f - 56)*(f + 1)
Determine w so that 0*w**3 + 0*w - 8/11 - 2/11*w**4 + 10/11*w**2 = 0.
-2, -1, 1, 2
Let s(r) be the first derivative of 3*r**7/350 - r**6/40 + r**5/100 + r**4/40 - 7*r**2/2 + 11. Let u(n) be the second derivative of s(n). Factor u(i).
3*i*(i - 1)**2*(3*i + 1)/5
Let j = -335 + 234. Let r = 304/3 + j. Factor 0 + 0*c + 0*c**2 - r*c**3 + 1/3*c**4.
c**3*(c - 1)/3
Suppose 3*z = -0*z - 15. Let k(w) = -2*w - 8. Let g be k(z). Let o(i) = -2*i**2 - 17*i - 13. Let q(x) = x - 1. Let c(r) = g*o(r) + 10*q(r). Factor c(h).
-4*(h + 3)**2
Let u(s) be the second derivative of -s**4/54 + 19*s**3/27 - 2*s**2 - 18*s + 2. Let u(f) = 0. What is f?
1, 18
Factor 18*c - 484 + 241 + 3*c**2 + 258.
3*(c + 1)*(c + 5)
Factor -531*b - 658*b + 616*b - 583*b - b**3 + 68*b**2.
-b*(b - 34)**2
Determine q so that -10/7 + 3/7*q + 1/7*q**2 = 0.
-5, 2
Factor -2/13*v**3 + 0 + 0*v + 0*v**2.
-2*v**3/13
Let n(b) = 5*b**2 - 5*b - 14. Let c be n(-3). Let l = -44 + c. Factor 0*w**4 + 0*w + 0*w**l + 2/11*w**5 + 0 + 0*w**3.
2*w**5/11
Let t(x) = 2 + x**5 - 5 + 3*x**3 - 4*x**3 - 9*x**2 - 7*x + 2 + 3*x**4. Let u(j) = j**4 + j**3 - j**2 + 1. Let y(k) = 2*t(k) - 2*u(k). Factor y(h).
2*(h - 2)*(h + 1)**4
Let y(b) = -b - 4. Let i be y(-6). Suppose -v = -19 - i. Solve 1 + 11 + z + 3*z**3 - z - 3*z**5 - v*z**2 + 9*z**4 = 0 for z.
-1, 1, 2
Let q(y) be the third derivative of 22*y**2 + 0*y + 1/75*y**5 - 1/300*y**6 + 4/15*y**3 + 7/60*y**4 + 0. Factor q(s).
-2*(s - 4)*(s + 1)**2/5
Determine m, given that -2/3*m**2 - 4418/3 - 188/3*m = 0.
-47
Let k(r) be the first derivative of -r**4/4 - 14*r**3/3 - 30*r**2 - 72*r - 48. Factor k(z).
-(z + 2)*(z + 6)**2
Let c(p) be the second derivative of -5*p**7/42 - 5*p**6/3 - 5*p**5 + 25*p**4/6 + 35*p**3/2 - 69*p - 2. Solve c(t) = 0 for t.
-7, -3, -1, 0, 1
Let f(s) be the second derivative of -s**4/48 - 3*s**3/4 + 117*s. Determine n so that f(n) = 0.
-18, 0
Find b, given that -28/9*b**3 - 56/9*b + 68/3*b**2 +