25*r**5 + 0*r**3 + 1/15*r**6. Determine y so that k(y) = 0.
0, 1, 2
Let q(j) be the second derivative of -3*j**5/20 + j**4/4 - 6*j. Factor q(r).
-3*r**2*(r - 1)
Let s(o) = 21*o**2 - 45*o + 24. Let q(x) = 5*x**2 - 11*x + 6. Let w(y) = 26*q(y) - 6*s(y). Suppose w(v) = 0. What is v?
1, 3
Factor 10/7*a**2 - 2/7 + 6/7*a**3 + 2/7*a.
2*(a + 1)**2*(3*a - 1)/7
Let g(a) be the first derivative of -a**4/14 + 2*a**3/21 + 2*a**2/7 + 6. Factor g(x).
-2*x*(x - 2)*(x + 1)/7
Let k(v) be the second derivative of v**5/30 - v**3/3 - 2*v**2/3 - 20*v. Find i, given that k(i) = 0.
-1, 2
Let r = 31 - 28. Let a(n) be the first derivative of -2/15*n**r + 0*n + 1/5*n**2 + 2. Factor a(d).
-2*d*(d - 1)/5
Factor 2/5*f**2 - 6/5*f**3 + 6/5*f - 4/5 + 2/5*f**4.
2*(f - 2)*(f - 1)**2*(f + 1)/5
Let n(t) = -1. Let j(r) = -5*r - 3. Let c be j(-2). Let p(h) = h + c + h**2 - h - 2*h. Let l(o) = 6*n(o) + p(o). Solve l(b) = 0.
1
Let o be (-30 - -36) + -5 + 1 + 1. Let w(b) be the first derivative of b + o + b**2 + 1/3*b**3. Factor w(a).
(a + 1)**2
Let v = 56 + -56. Factor 0*t**3 + v + 1/3*t**2 + 0*t - 1/3*t**4.
-t**2*(t - 1)*(t + 1)/3
Factor 3 + 2 + 2*b**2 - 3 + 4*b.
2*(b + 1)**2
Suppose -30 = -j - 5*i, 4*j = 3*i + 7 - 2. Factor 0*n**2 + 0*n - 2/9*n**3 + 0 + 0*n**4 + 2/9*n**j.
2*n**3*(n - 1)*(n + 1)/9
Let k(s) be the first derivative of s**6/30 + 7*s**5/60 - s**4/12 + 5*s**2/2 - 5. Let j(x) be the second derivative of k(x). Let j(u) = 0. What is u?
-2, 0, 1/4
Factor 2/9*s**2 + 0 + 2/9*s**3 - 2/9*s**4 - 2/9*s.
-2*s*(s - 1)**2*(s + 1)/9
Suppose -2*p = -3 - 5. Let g(q) = q**2 - 7*q + 7. Let u be g(6). Let -p*a**2 + 0*a**2 + a**4 + 2*a**2 + u = 0. What is a?
-1, 1
Let g(b) = 14*b**2 + 16*b - 12. Let d(f) = 13*f**2 + 16*f - 11. Let a(s) = -4*d(s) + 3*g(s). Solve a(k) = 0.
-2, 2/5
Find g, given that -8/15*g**2 - 4/15 + 2/15*g**3 + 2/3*g = 0.
1, 2
Let v(k) be the first derivative of -7*k**6/16 + 3*k**5/8 + 27*k**4/32 - 5*k**3/8 - 3*k**2/8 - 6. Find l, given that v(l) = 0.
-1, -2/7, 0, 1
Let q(r) be the second derivative of -1/5*r**3 + 3*r + 1/10*r**2 + 0 + 3/20*r**4. Determine b so that q(b) = 0.
1/3
Let n(p) be the first derivative of -10*p**3/3 - 55*p**2/2 - 25*p - 54. Suppose n(h) = 0. What is h?
-5, -1/2
Let m(i) = 5*i**4 + 3*i**3 - 2*i**2 + 4*i + 12. Let p(x) = 4*x**4 + 2*x**3 - 3*x**2 + 4*x + 11. Let r(t) = -3*m(t) + 4*p(t). What is s in r(s) = 0?
-2, -1, 2
Let z(n) be the first derivative of -n**4 + 16*n**3/3 + 2*n**2 - 16*n + 3. Factor z(f).
-4*(f - 4)*(f - 1)*(f + 1)
Let f(n) = -n**2 - 3*n - 5. Let s(x) = x**2 + 4*x + 6. Let l(g) = 6*f(g) + 5*s(g). Let j(b) = b**2 - b. Let v(t) = -4*j(t) - 2*l(t). What is a in v(a) = 0?
0
Suppose 3*n - 33 = -9. Let l(h) = -h**2 + 10*h - 14. Let k be l(n). Factor 2*t**k + 3/2*t - 1/2.
(t + 1)*(4*t - 1)/2
Suppose -19*a + 24*a = 35. Factor -a*m**2 - 4/3 + 3*m**3 + 16/3*m.
(m - 1)*(3*m - 2)**2/3
Suppose -56 = -2*z - 4*f + f, -5*z + 117 = -4*f. Solve -z*q - 21*q**2 + 5 - 11*q + 7 = 0.
-2, 2/7
Let f(w) be the second derivative of 0*w**2 - 1/3*w**4 + 1/3*w**3 + 0 + 1/10*w**5 + w. Find g such that f(g) = 0.
0, 1
Let w = 4/11 + 69/22. Factor -1 - w*o - 5/2*o**2.
-(o + 1)*(5*o + 2)/2
Let c(n) be the third derivative of n**7/42 + n**6/40 - n**5/5 + n**4/6 - 6*n**2. Determine g so that c(g) = 0.
-2, 0, 2/5, 1
Let k(g) = g**2 + 13*g - 6. Let x be k(-12). Let q be ((-4)/x)/((-1)/(-6)). Let 2/3*p**2 + q - 2*p = 0. Calculate p.
1, 2
Let k(d) be the third derivative of 5*d**2 + 0 + 1/12*d**4 + 1/2*d**3 + 1/180*d**5 + 0*d. Factor k(s).
(s + 3)**2/3
Let i(t) = -t + 7. Let v be i(5). Factor -2*y**2 - y - 2*y + 4*y**3 + 8 - 6*y**v - y.
4*(y - 2)*(y - 1)*(y + 1)
Let o(a) be the first derivative of a**4/16 - a**3/3 + a**2/2 - 29. Factor o(s).
s*(s - 2)**2/4
Suppose -5*j - 3 = -18. Suppose 5 = c - j*z - 0*z, -5*z = 5. Suppose -1/2*v**c - v - 1/2 = 0. What is v?
-1
Find u, given that 46*u**4 + 26*u**2 - 19*u**5 - 4*u - 10*u**5 - 54*u**3 + 15*u**5 = 0.
0, 2/7, 1
Let h(t) be the second derivative of -1/6*t**3 + t - 1/48*t**4 + 0 - 1/2*t**2. Let h(f) = 0. Calculate f.
-2
Let l(m) be the first derivative of m**5/30 - m**4/18 - 3*m - 3. Let n(q) be the first derivative of l(q). Factor n(f).
2*f**2*(f - 1)/3
Let a(p) = p**2 + 10*p + 10. Let b be a(-9). Let d be (-20 - -20)/(b*-1). Suppose 0 - 3/2*c**3 + 3/2*c + d*c**2 = 0. What is c?
-1, 0, 1
Let o(z) be the third derivative of 0 + 1/36*z**6 + 0*z + 2*z**2 + 1/4*z**4 + 2/9*z**3 + 2/15*z**5. Factor o(k).
2*(k + 1)**2*(5*k + 2)/3
Let n = -152 + 457/3. Let w = 94/3 - 31. Factor 1/3*p - 1/3*p**3 + n - w*p**2.
-(p - 1)*(p + 1)**2/3
Let s(v) be the third derivative of v**6/660 - v**4/44 - 2*v**3/33 - 4*v**2. Factor s(x).
2*(x - 2)*(x + 1)**2/11
Let y = -227 + 1593/7. Factor 2/7*c**5 - y*c**2 + 2/7*c - 4/7*c**3 + 2/7 + 2/7*c**4.
2*(c - 1)**2*(c + 1)**3/7
Let c(n) = -2*n**4 - 6*n**3 + 4*n**2 + 12*n + 10. Let t(z) = 2*z**4 + 6*z**3 - 3*z**2 - 11*z - 9. Let k(a) = 5*c(a) + 6*t(a). Factor k(b).
2*(b - 1)*(b + 1)**2*(b + 2)
Suppose -4*b + s = -59, 4*b + 0*b + 4*s - 44 = 0. Find a, given that -10*a**4 - 2 - b*a - 5*a**5 - 2 + 14*a**2 + 22*a**3 - 3*a**5 = 0.
-2, -1, -1/4, 1
Let k(c) = c**4 + 3 + c**3 - 2 + 5*c**2 - 4*c**2. Let p(o) = -28*o**4 + 34*o**3 + 4*o**2 - 4*o + 2. Let j(x) = -2*k(x) + p(x). Determine r so that j(r) = 0.
-1/3, 0, 2/5, 1
Let r(l) = 35*l + 45. Let b(z) = z**2 - z - 1. Let n(y) = 5*b(y) + r(y). Solve n(g) = 0 for g.
-4, -2
Factor -i**3 - 4*i**4 + 4*i**5 - 13*i**3 + 6*i**3.
4*i**3*(i - 2)*(i + 1)
Let m(p) be the third derivative of p**7/945 - p**5/90 + p**4/54 - 19*p**2. Factor m(b).
2*b*(b - 1)**2*(b + 2)/9
Let v(t) be the third derivative of -t**8/2352 + t**6/420 - t**4/168 + 9*t**2. Suppose v(f) = 0. Calculate f.
-1, 0, 1
Let s(v) be the second derivative of 0*v**4 + 0*v**3 + 9/14*v**7 + 5*v - 3/10*v**5 + 0*v**2 - 7/10*v**6 + 0. Factor s(g).
3*g**3*(g - 1)*(9*g + 2)
Let y(n) be the first derivative of -2*n**3/39 - n**2/13 + 12*n/13 + 2. Factor y(w).
-2*(w - 2)*(w + 3)/13
Let j(l) = -8*l**2 - 7. Let o(x) = 4*x**2 + 3. Let i(y) = 3*j(y) + 7*o(y). Find k, given that i(k) = 0.
0
Let l = 0 - 0. Suppose c = -l*c + 3. Determine r, given that -r**2 + r**3 + 0*r**3 + 0*r**c = 0.
0, 1
Factor 6/11*m + 10/11*m**2 - 18/11 + 2/11*m**3.
2*(m - 1)*(m + 3)**2/11
Suppose 365*d = 363*d + 10. Let f(n) be the third derivative of -n**2 - 3/50*n**d - 1/50*n**6 - 1/10*n**3 + 0 - 1/10*n**4 - 1/350*n**7 + 0*n. Factor f(w).
-3*(w + 1)**4/5
Let o(x) be the second derivative of -x**4/18 - x**3/9 + 2*x**2/3 + 3*x. Let o(w) = 0. Calculate w.
-2, 1
Factor 4/3 + 2/3*p - 2*p**2 - 2/3*p**3 + 2/3*p**4.
2*(p - 2)*(p - 1)*(p + 1)**2/3
Let r = 3 - 3. Let w(x) be the third derivative of 0*x + r - x**2 - 1/3*x**3 - 1/30*x**5 + 1/6*x**4. Factor w(s).
-2*(s - 1)**2
Let u(p) be the third derivative of p**8/504 + p**7/126 + p**6/120 - p**5/180 - p**4/72 + 22*p**2. Suppose u(x) = 0. What is x?
-1, 0, 1/2
Let h(q) be the third derivative of q**10/604800 - q**9/80640 + q**8/26880 - q**7/20160 + q**5/30 + q**2. Let w(g) be the third derivative of h(g). Factor w(z).
z*(z - 1)**3/4
Let 8/17*k**5 + 14/17*k**2 + 4/17*k + 0 - 14/17*k**4 - 12/17*k**3 = 0. What is k?
-1, -1/4, 0, 1, 2
Let a = 2/703 - -1392/4921. Solve -3/7*o**4 + 0*o + 0 - a*o**3 - 1/7*o**5 + 0*o**2 = 0.
-2, -1, 0
Suppose 10/11*b**3 + 0 + 14/11*b**2 + 4/11*b = 0. Calculate b.
-1, -2/5, 0
Let p = -1/61 + 63/122. Let g be 4/(-10) - 54/(-60). Factor -p*w**2 + 0 - g*w.
-w*(w + 1)/2
Let -9/5*s + 0 - 3/5*s**3 + 12/5*s**2 = 0. What is s?
0, 1, 3
Let p(w) = 0*w - 35 + 2*w**2 - 7*w**2 - 20*w + 6. Let n(q) = -11*q**2 - 41*q - 59. Let h(d) = 2*n(d) - 5*p(d). Let h(l) = 0. What is l?
-3
Let s = -15 + 17. Let i(n) be the first derivative of 1/3*n + 0*n**s - 1/9*n**3 - 1. What is m in i(m) = 0?
-1, 1
Let s(v) be the third derivative of v**6/240 + v**5/30 + 5*v**4/48 + v**3/6 - 41*v**2. Factor s(r).
(r + 1)**2*(r + 2)/2
Suppose 1 - 7*q**2 + q**3 - 5 + 16*q - 5*q - 1 = 0. What is q?
1, 5
Let p(a) be the third derivative of -a**8/7840 - a**7/8820 - a**4/12 + 2*a**2. Let d(r) be the second derivative of p(r). Solve d(y) = 0.
-1/3, 0
Let b(l) be the first derivative of -l**3/15 + l**2/5 + 8*l/5 + 34. Factor b(s).
-(s - 4)*(s + 2)/5
Let r(i) be the first derivative of -i**6/2520 + i**5/210 - i**4/56 + 2*i**3 + 8. Let j(g) be 