+ 3/4*y**3 + 0 + h*y + 1/2*y**2 - 1/4*y**5.
-y**2*(y - 2)*(y + 1)**2/4
Find m such that 2/9*m**3 + 0*m + 0*m**2 - 2/9*m**5 + 0 + 0*m**4 = 0.
-1, 0, 1
Let t(v) = -v**3 - v**2. Let m(n) = 4*n**2 + 2*n - 2. Let w(y) = m(y) + t(y). Let x be w(3). Factor 1/5*d**2 - 2/5*d**3 + 0 + 0*d - 3/5*d**x.
-d**2*(d + 1)*(3*d - 1)/5
Let i(f) = 2*f**3 + 3*f**2 + 10*f - 4. Let m(n) = -n**3 - 2*n**2 - 5*n + 2. Let y(p) = -6*i(p) - 11*m(p). Solve y(k) = 0.
1, 2
Let m be (-9)/(-10) + 12/(-30). Factor 1/4 - m*k + 1/4*k**2.
(k - 1)**2/4
Let v(n) = -3*n**3 + 2*n + 1. Let r be v(-1). Factor m**2 + 2 - 5*m**r + 2*m**4 + 0*m**2.
2*(m - 1)**2*(m + 1)**2
Suppose 3*i - 174 = 4*n, -3*n - 67 = 2*i + 72. Let s be (-10)/n + 12/189. Suppose 0 + 2/7*j**4 + 2/7*j**5 + 0*j - s*j**2 - 2/7*j**3 = 0. What is j?
-1, 0, 1
Determine h so that -578 - 2*h**3 + 578 + 2*h = 0.
-1, 0, 1
Let c(n) be the third derivative of -n**5/75 + n**4/5 - 6*n**3/5 + 19*n**2. Suppose c(i) = 0. Calculate i.
3
Let p(d) = d**2 - 1. Let i(t) = t**3 - 2*t**2 + 3*t - 2. Let x(m) = -3*i(m) + 3*p(m). Factor x(s).
-3*(s - 1)**3
Suppose 0 = 3*w + 2*w. Let h = 415 + -829/2. Find q such that w*q - 1/2*q**2 + h = 0.
-1, 1
Suppose 91 = 29*i + 4. Suppose 0 + 18/5*h**5 - 6*h**2 + 4/5*h - 58/5*h**4 + 66/5*h**i = 0. What is h?
0, 2/9, 1
Let v(k) be the third derivative of k**7/210 + k**6/40 + k**5/20 + k**4/24 - 9*k**2. Factor v(n).
n*(n + 1)**3
Let q(d) be the third derivative of -1/144*d**4 + 0*d**3 - 1/180*d**5 - 1/720*d**6 + 0 - 8*d**2 + 0*d. What is g in q(g) = 0?
-1, 0
Let q(p) be the first derivative of -5*p**3/18 - 5*p**2/6 - 5*p/6 + 19. Factor q(y).
-5*(y + 1)**2/6
Let p(u) be the third derivative of u**8/1344 + u**7/840 - u**6/480 - u**5/240 + 3*u**2. Factor p(o).
o**2*(o - 1)*(o + 1)**2/4
Let x be (-33)/12 + 3 + 10/88. Let -2/11 - x*o - 2/11*o**2 = 0. What is o?
-1
Let b(u) be the first derivative of -u**8/560 - u**7/280 + u**3/3 + 5. Let k(o) be the third derivative of b(o). Find m such that k(m) = 0.
-1, 0
Suppose -25*b**3 + 4*b**3 - 6 - 18*b + 6*b**2 + 39*b = 0. Calculate b.
-1, 2/7, 1
Let n = -1668 - -36705/22. Let k = n + 1/11. Factor -1/4 - 1/4*l**2 + k*l.
-(l - 1)**2/4
Let c(i) be the first derivative of 2*i**3/33 - 4*i**2/11 + 8*i/11 - 15. Factor c(y).
2*(y - 2)**2/11
Let a(s) be the first derivative of -32*s**5/25 + 16*s**4/5 - 2*s**3 - 2*s**2/5 + 2*s/5 + 2. Suppose a(h) = 0. What is h?
-1/4, 1/4, 1
Suppose 8 = b - 0. Suppose -25*j**4 + 4*j**3 + 243*j**5 + b*j**3 - 83*j**4 = 0. What is j?
0, 2/9
Let t be 6/4*32/12. Let 0 + 0*x**3 - 1/2*x**t + 0*x + 1/2*x**5 + 0*x**2 = 0. What is x?
0, 1
Let l(s) be the third derivative of -s**9/22680 - s**4/12 - s**2. Let r(h) be the second derivative of l(h). Factor r(q).
-2*q**4/3
Let b(r) = 2*r**2 + 6*r + 2. Let a be b(-4). Factor 2 - 64*u**2 - 3 + 76*u**3 - 3 + a*u**5 - 44*u**4 + 26*u.
2*(u - 1)**4*(5*u - 2)
Suppose 6*t = t - 20. Let c be t + 3 + (-8)/(-6). Factor -1/3 - y**2 - c*y**3 - y.
-(y + 1)**3/3
Factor -2/3 + z - 1/3*z**2.
-(z - 2)*(z - 1)/3
Let x(j) be the third derivative of j**6/120 + 7*j**5/60 + 3*j**2. Let a be x(-7). Let 0*h**3 + 0 + 0*h - 1/3*h**4 + a*h**2 - 1/3*h**5 = 0. What is h?
-1, 0
Let -1/2*h**2 - 2 + 2*h = 0. Calculate h.
2
Let j(c) = -3*c - 1. Let r be j(-3). Factor -34*i + r + 4*i**3 + 9*i + 13*i.
4*(i - 1)**2*(i + 2)
Let d(o) = 3*o**4 + o**3 + 4*o**2 - 8*o + 7. Let b = 7 + -14. Let y(r) = r**4 + r**3 + 2*r**2 - 4*r + 3. Let v(t) = b*y(t) + 3*d(t). Factor v(n).
2*n*(n - 2)*(n - 1)*(n + 1)
Let o be (-4 - -4) + (-3)/(-27). Let q(x) be the second derivative of o*x**3 + 3*x + 0 + 1/6*x**2 + 1/36*x**4. Determine w, given that q(w) = 0.
-1
Factor -1/2*p**5 + 0*p - 1/2*p**3 + 0*p**2 + 0 + p**4.
-p**3*(p - 1)**2/2
Let p(g) be the first derivative of 0*g**2 + 0*g**3 + 5 - 1/18*g**4 - 1/27*g**6 + 0*g + 4/45*g**5. Factor p(d).
-2*d**3*(d - 1)**2/9
Let l(s) be the second derivative of 0 + s - 1/30*s**6 + 0*s**3 + 0*s**2 - 1/10*s**5 - 1/12*s**4. Factor l(w).
-w**2*(w + 1)**2
Suppose 0 = -3*b + 5*b. Let p = 24 + -21. Factor b*t**2 + 0 + 2/5*t**p + 0*t.
2*t**3/5
Let w(t) be the third derivative of -t**5/75 + t**4/10 + 14*t**2. Find i such that w(i) = 0.
0, 3
Let c(f) = 12*f**2 - 3*f - 6. Let x(y) = 25*y**2 - 6*y - 12. Let g(j) = 7*c(j) - 3*x(j). Factor g(d).
3*(d - 1)*(3*d + 2)
Factor -12 + 0*q**2 - 9*q**2 - 6*q**3 + 89*q + 3*q**4 + 79*q - 144*q.
3*(q - 2)*(q - 1)**2*(q + 2)
Factor 0*d**3 - 4*d + 0*d - 4*d**3 - 12*d**2 - 4*d.
-4*d*(d + 1)*(d + 2)
Factor 72/7*g**3 + 4/7*g**5 - 12/7 - 4*g**4 + 52/7*g - 88/7*g**2.
4*(g - 3)*(g - 1)**4/7
Suppose -q = -2, 0 = 3*a - 2*a + 4*q + 3. Let c = a - -19. Find p, given that 6*p - p**4 - 4 + 2*p**3 + 2*p**2 - c*p**3 + 3*p**4 = 0.
-1, 1, 2
Let j = -14 - -12. Let r be (-12)/18*j/1. Factor r*y**4 + 0*y - 2/3*y**2 + y**5 + 0 - 1/3*y**3.
y**2*(y + 1)**2*(3*y - 2)/3
Let v(z) = -z**3 - z**2 + z. Let a(k) = 4*k**3 + 10*k**2 + 6*k. Suppose 3*o - 12 = -6. Let g(s) = o*v(s) + a(s). Let g(n) = 0. Calculate n.
-2, 0
Let g(u) = -15*u**2 - 35*u + 20. Let b(v) = -2*v**2 - 5*v + 3. Let s(k) = 20*b(k) - 3*g(k). Find w such that s(w) = 0.
-1, 0
Factor -1/7*h**3 - 1/7 + 1/7*h**2 + 1/7*h.
-(h - 1)**2*(h + 1)/7
Let k be (-8)/40*(30/(-4))/3. Factor 1/2*z**2 + k*z - 1/2*z**3 - 1/2*z**4 + 0.
-z*(z - 1)*(z + 1)**2/2
Let i(v) be the first derivative of 2*v**6/3 + 4*v**5/5 - v**4 - 4*v**3/3 - 3. Factor i(r).
4*r**2*(r - 1)*(r + 1)**2
Let v(b) be the third derivative of 0*b + 1/160*b**6 + 1/1344*b**8 + 0*b**4 - 1/240*b**5 + 0 + 0*b**3 - b**2 - 1/280*b**7. Find p such that v(p) = 0.
0, 1
Factor -2/5*h**2 + 4/5*h + 0 + 2/5*h**4 - 4/5*h**3.
2*h*(h - 2)*(h - 1)*(h + 1)/5
Let s = -17 - -35/2. Suppose 11*b - 9*b = 6. Factor 1/2 + s*x**b - 1/2*x - 1/2*x**2.
(x - 1)**2*(x + 1)/2
Suppose 0 = -5*o - 24 + 34. Let n(l) be the first derivative of -3/4*l**4 - 1/2*l**2 + o + 4/3*l**3 + 0*l. Factor n(c).
-c*(c - 1)*(3*c - 1)
Let k(j) = 2*j + 35. Let h be k(-16). Suppose -2/3*b**2 + 1/3*b - 1/3*b**h + 2/3 = 0. What is b?
-2, -1, 1
Suppose 4*l = 3*d + 6, -5*d - 5 - 5 = 0. Suppose l*f + 945 = 5*f. Find b, given that -f*b**3 - 72 - 81*b**4 - 14*b**2 + 255*b**2 + 69*b + 15*b - 43*b**2 = 0.
-3, -2/3, 2/3
Solve 16/7*p - 8/7 + 38/7*p**2 + 2*p**3 = 0.
-2, -1, 2/7
Factor -4/3*p**4 + 0 + 0*p**2 + 2/3*p**3 + 2/3*p**5 + 0*p.
2*p**3*(p - 1)**2/3
Suppose -k - 6 + 4 + 5*k - 2*k**2 + 8 = 0. What is k?
-1, 3
Let b(y) be the first derivative of 0*y**2 - 1/12*y**4 + 0*y**3 + 0*y + 1. Find s, given that b(s) = 0.
0
Suppose -4*r - 7*r = -3*r. Let n(j) be the third derivative of 3*j**2 + 0*j**3 - 1/180*j**5 + 0 + r*j + 1/72*j**4. Factor n(c).
-c*(c - 1)/3
Let v(y) be the second derivative of -4*y**6/15 + 3*y**5/5 + y**4 - 4*y**3/3 - 2*y. Determine h, given that v(h) = 0.
-1, 0, 1/2, 2
Let p(d) = d**2 + 10*d + 2. Let z be p(-10). Let o = 0 + z. Factor 1/3 - 1/3*s**o + 0*s.
-(s - 1)*(s + 1)/3
Let r be (-5 + 3)/((-9)/18). What is x in -2/9*x - 2/3*x**2 + 2/9*x**3 + 0 + 2/3*x**r = 0?
-1, -1/3, 0, 1
Let f(a) = -a**5 - a**4 + a**3 + a**2 - a. Let s(z) = 10*z**5 + 7*z**4 - 10*z**3 - 7*z**2 + 6*z. Let x(j) = 6*f(j) + s(j). Solve x(c) = 0 for c.
-1, -1/4, 0, 1
Let v(l) be the third derivative of -l**8/168 - l**7/140 + l**6/240 - 6*l**2. What is d in v(d) = 0?
-1, 0, 1/4
Suppose -4*h = h - 260. Let g = -154/3 + h. Let -7/3*l - g - l**2 = 0. What is l?
-2, -1/3
Let r = 5 + -3. Suppose 0 = r*s - a - 4, 5*a + 3 = 5*s - 7. Factor 0 - 2/5*c**3 + 0*c**s + 2/5*c.
-2*c*(c - 1)*(c + 1)/5
Let b(h) be the first derivative of h**6/24 + 3*h**5/4 + 75*h**4/16 + 125*h**3/12 - 33. Factor b(s).
s**2*(s + 5)**3/4
Let v(y) = -29*y + 12. Let t be v(-6). Let g = t - 1300/7. Factor 0 - 2/7*d + g*d**2.
2*d*(d - 1)/7
Let r = -35 + 23. Let d be (-75)/(-10)*(-2)/r. Suppose 0 + 7/4*v**2 - 1/2*v - d*v**3 = 0. What is v?
0, 2/5, 1
Let q(x) = x + 13. Let n be q(-3). Let v = n + -10. Let 1/6*j**5 + 0*j**2 - 1/6*j**4 + 0*j**3 + 0*j + v = 0. What is j?
0, 1
Let s(p) be the third derivative of -p**9/2646 - 3*p**8/1960 - p**7/1470 + p**3 - 4*p**2. Let v(y) be the first derivative of s(y). Factor v(w).
-2*w**3*(w + 2)*(4*w + 1)/7
Let f(g) = -4*g**2 - 123*g + 31. Let v be f(-31). Find c, given that 7/4*c**3 + v - 1/2*c**2 + 0*c - 3/2*c**4 = 0.
0, 1/2, 2/3
Let s = 4 + -7. Let o be 9/(-12)*s - 2. Factor 0 - 1/4*k**4 + 3/4*k**3 + o*k