rst derivative of -p**3/6 + 3*p**2 - 18*p + 8. Determine i so that m(i) = 0.
6
Let g(p) = 5*p**2 + 13*p - 16. Let a(t) = -3*t**2 - 9*t + 11. Let m(l) = 8*a(l) + 5*g(l). Let r be m(6). Factor 2 - 3*v + 6*v + v + 2*v**r.
2*(v + 1)**2
Let a(j) = -13*j**2 + 3*j. Let z(r) = -6*r**2 + 2*r. Let v(f) = 2*a(f) - 5*z(f). Suppose v(y) = 0. Calculate y.
0, 1
Let s(m) = m**3 + m**2 - 2*m. Let o be s(-2). Let c(y) be the first derivative of o*y**2 + 0*y - 3 - 1/9*y**3. Factor c(n).
-n**2/3
Let o(s) = s + 14. Let b be o(-12). Let t = -75 + 78. Factor -2/5*n**4 + 0 + 2/5*n + 2/5*n**b - 2/5*n**t.
-2*n*(n - 1)*(n + 1)**2/5
Let d(z) be the third derivative of 1/75*z**5 + 0*z**3 - z**2 + 0*z + 1/60*z**4 + 1/300*z**6 + 0. Suppose d(t) = 0. Calculate t.
-1, 0
Let a be (-1)/(-2) - (-25)/2. What is d in -2*d - 4*d**3 + 4 - a*d + d + 14*d**2 = 0?
1/2, 1, 2
Let k = 281/566 - -1/283. Factor -k*t - 1/2*t**2 + 0.
-t*(t + 1)/2
Let v(u) be the first derivative of u**4/26 - 7*u**2/13 + 12*u/13 + 29. Solve v(n) = 0.
-3, 1, 2
Let x(w) = 10*w**2 - 56*w - 16. Let l(r) = 3*r**2 - 18*r - 5. Let j(k) = -16*l(k) + 5*x(k). What is t in j(t) = 0?
-4, 0
Let j be ((-12)/8)/(1/(-4)). Let o(y) be the second derivative of -y + 0*y**3 + 0*y**2 - 1/90*y**5 + 0 + 0*y**4 + 1/135*y**j. Determine w so that o(w) = 0.
0, 1
Let f(w) be the second derivative of -5*w + 0*w**3 - 1/3*w**4 + 0*w**2 - 4/15*w**6 - 9/10*w**5 + 0. Factor f(g).
-2*g**2*(g + 2)*(4*g + 1)
Let n(f) be the second derivative of -f**4/3 - 10*f**3/3 - 12*f**2 + 12*f. Solve n(z) = 0 for z.
-3, -2
Suppose 42 = -6*r + 60. Let t(j) be the first derivative of -2*j - 2*j**3 + 4*j**2 - r + 8/5*j**5 - 2*j**4. Determine d, given that t(d) = 0.
-1, 1/2, 1
Let w(p) be the first derivative of -4*p**5/5 - 9*p**4 - 20*p**3 + 50*p**2 - 12. Factor w(a).
-4*a*(a - 1)*(a + 5)**2
Let j(b) be the third derivative of -b**4/12 - b**3/3 - 2*b**2. Let p(a) = -a**2 - 2*a - 3. Let s(n) = 3*j(n) - 2*p(n). Suppose s(q) = 0. Calculate q.
0, 1
Let w be 21 - (6 + -1 + -2). Suppose 4*m + 5*h = m - 6, -5*h = -m + w. Find f such that 0*f**3 - 17*f**5 - f**3 - f**m + 49*f**5 = 0.
-1/4, 0, 1/4
Let q(j) = 3*j**2 - 3*j. Let u(k) = k**2 + k + 1. Let a(i) = q(i) - 6*u(i). Find s such that a(s) = 0.
-2, -1
Let g(n) = n**2 + 7*n - 4. Let d be g(-8). Factor -3*j**3 - d*j - 4*j**2 + 13*j**2 - 2*j.
-3*j*(j - 2)*(j - 1)
Let x(h) be the second derivative of -h**5/270 - h**4/36 - 2*h**3/27 + 2*h**2 - h. Let b(f) be the first derivative of x(f). Factor b(l).
-2*(l + 1)*(l + 2)/9
Let r = 2807 - 25237/9. Solve 4/9 - 2/3*i**3 + 22/9*i**2 - 4/3*i**5 + 2*i - r*i**4 = 0 for i.
-1, -2/3, -1/2, 1
Suppose 4 + 24 = 4*u. Let d(f) be the third derivative of -1/30*f**6 + 1/4*f**4 - 1/35*f**u + 1/3*f**3 + 0 + 1/15*f**5 + 2*f**2 - 1/168*f**8 + 0*f. Factor d(p).
-2*(p - 1)*(p + 1)**4
Suppose -4*c + 6*c + c**2 + 6*c**2 - 1 + 4*c**3 + 0*c**2 = 0. What is c?
-1, 1/4
Let y be (3/12)/(9/6). Let t(i) be the first derivative of -2 + 0*i - 1/4*i**2 + y*i**3. Let t(w) = 0. Calculate w.
0, 1
Let w(a) be the first derivative of -9/2*a**2 + 3/4*a**4 - 10 - 6*a + 0*a**3. Factor w(f).
3*(f - 2)*(f + 1)**2
Let m(v) be the third derivative of 13/20*v**5 - 3/40*v**6 + 0 - 5/3*v**4 + 0*v - 3*v**2 + 2*v**3. Determine s, given that m(s) = 0.
2/3, 3
Suppose -17 = 2*o - i, 3 + 2 = o + 4*i. Let q = o - -10. Factor 18*j**5 - 114*j**2 + 26*j**4 + q - 11 - 104*j**4 + 134*j**3 + 48*j.
2*(j - 1)**3*(3*j - 2)**2
Let v(q) be the first derivative of -3/20*q**5 - 2 + 3*q + 0*q**2 + 1/30*q**6 + 1/4*q**4 - 1/6*q**3. Let g(m) be the first derivative of v(m). Factor g(b).
b*(b - 1)**3
Factor -32/3 - 1/6*m**2 - 8/3*m.
-(m + 8)**2/6
Let z(d) be the second derivative of -d**6/15 + 7*d**5/30 + d**4/18 - 7*d**3/9 + 2*d**2/3 + 6*d. Find t such that z(t) = 0.
-1, 1/3, 1, 2
Solve 0 + 0*x**4 + 0*x - 9/5*x**3 + 6/5*x**2 + 3/5*x**5 = 0.
-2, 0, 1
Factor 0 + 2/17*x**4 - 4/17*x - 8/17*x**3 + 10/17*x**2.
2*x*(x - 2)*(x - 1)**2/17
What is m in 11/3*m + 1/3*m**3 - 2 - 2*m**2 = 0?
1, 2, 3
Let s(t) = 14*t**2 - 68*t + 150. Let z(y) = -5*y**2 + 23*y - 50. Let k(i) = -3*s(i) - 8*z(i). Factor k(a).
-2*(a - 5)**2
Suppose -y = -0*y - 3. Factor -g - 2*g**3 + g**3 + y*g**2 - g**2.
-g*(g - 1)**2
Suppose -12*a = 4*z - 11*a, -3*a = -4*z. Let 7/4*j**3 + 1/2*j**4 + z*j + 0 - 7/4*j**5 - 1/2*j**2 = 0. Calculate j.
-1, 0, 2/7, 1
Let p(n) be the first derivative of -n**6/27 + 14*n**5/45 + n**4/9 - 28*n**3/27 - n**2/9 + 14*n/9 + 22. Determine g, given that p(g) = 0.
-1, 1, 7
Suppose j**4 - 8126 + 8126 = 0. What is j?
0
Let b be 11 - 2 - (-3)/(-1). Factor 2*p**4 - 2*p**2 - b*p**5 - 3*p**3 + 4*p**5 + 5*p**3.
-2*p**2*(p - 1)**2*(p + 1)
Let -6*h**2 + 2*h**3 + 94 + 4*h - 94 + 0*h**3 = 0. What is h?
0, 1, 2
Let j = 431 + -431. Factor 2/5*y**3 + 8/5*y**2 + 6/5*y + j.
2*y*(y + 1)*(y + 3)/5
Let g = -331/9 + 37. Determine m so that g*m**3 - 2/3*m**2 - 2/9 + 2/3*m = 0.
1
Suppose -2/11*y**5 - 20/11*y**2 - 10/11*y - 2/11 - 10/11*y**4 - 20/11*y**3 = 0. Calculate y.
-1
Let j(i) be the first derivative of -1/2*i**4 - i**2 + 0*i + 4/3*i**3 - 2. Factor j(o).
-2*o*(o - 1)**2
Let v(h) be the first derivative of 2/3*h**3 + 0*h + 1 - 1/180*h**6 - 1/12*h**4 + 1/30*h**5 + 0*h**2. Let i(p) be the third derivative of v(p). Solve i(b) = 0.
1
Let w = -946 + 946. Factor -1/5*z**4 - 1/5 + 0*z + w*z**3 + 2/5*z**2.
-(z - 1)**2*(z + 1)**2/5
Let s(x) be the second derivative of -x**6/5 - x**5 + 3*x**4/2 + 4*x**3/3 + 2*x + 9. Suppose s(d) = 0. Calculate d.
-4, -1/3, 0, 1
Let h(m) be the third derivative of m**5/150 - m**4/15 + 4*m**3/15 + 13*m**2. Solve h(t) = 0 for t.
2
Let x(m) = -m**2 + 4. Let g be x(0). Let h(u) be the first derivative of -7/9*u**6 + 0*u + 2 - 2/3*u**2 - 46/15*u**5 - 9/2*u**g - 26/9*u**3. Solve h(r) = 0.
-1, -2/7, 0
Suppose 2*g = -3*g + 50. Factor 99 - 4*u - 99 - g*u**2.
-2*u*(5*u + 2)
Let d(f) be the first derivative of -11*f**7/2100 + f**6/450 - 8*f**3/3 + 8. Let q(w) be the third derivative of d(w). Find i such that q(i) = 0.
0, 2/11
Let u(x) = -x**3 + 6*x**2 + 4*x. Let l be u(6). Let t be ((-4)/14)/(l/(-21)). Factor 1/4*s**5 + 0 + t*s**4 + 0*s**3 + 0*s**2 + 0*s.
s**4*(s + 1)/4
Let o(i) be the third derivative of i**5/105 + i**4/7 - 6*i**2. Factor o(b).
4*b*(b + 6)/7
Let f(s) be the second derivative of 3*s - 1/3*s**3 - 1/21*s**7 + 0*s**4 + 0*s**6 + 0*s**2 + 0 + 1/5*s**5. Determine r, given that f(r) = 0.
-1, 0, 1
Let n(t) = t - 10. Let g be n(5). Let f be (-7)/(g - -4) - 4. Let -2/7*m**4 - 10/7*m**f - 4/7 - 2*m - 18/7*m**2 = 0. Calculate m.
-2, -1
Let v = 91 - 89. Let s(w) be the third derivative of -1/180*w**6 - 1/180*w**5 + 1/72*w**4 + 0*w**3 + 0*w + 4*w**v + 0. Factor s(a).
-a*(a + 1)*(2*a - 1)/3
Let k(z) = -45*z**3 + 126*z**2 + 96*z - 24. Let v(i) = 9*i**3 - 25*i**2 - 19*i + 5. Let n(g) = -5*k(g) - 24*v(g). Factor n(c).
3*c*(c - 4)*(3*c + 2)
Let p(t) = 14*t**2 + 7*t - 1. Let b = 23 - 20. Let j(l) = -70*l**2 - 36*l + 6. Let d(s) = b*j(s) + 14*p(s). Let d(v) = 0. Calculate v.
-1, 2/7
Let r = -47 + 49. Factor -4/7 - 54/7*t**2 - 46/7*t**3 - 26/7*t - r*t**4.
-2*(t + 1)**3*(7*t + 2)/7
Let q(s) = s + 5. Let i be q(-5). Suppose i = j - 3 + 1. Solve -f**j + 6*f - 4*f - f**2 = 0 for f.
0, 1
Let u(d) be the first derivative of d**4/2 - 2*d**3/3 - 2*d**2 + 28. Factor u(c).
2*c*(c - 2)*(c + 1)
Let q(p) be the third derivative of p**7/945 - p**5/270 - 2*p**2. Find u such that q(u) = 0.
-1, 0, 1
Let g be 2*(0 + 1)*(-44)/(-264). Factor 1/3*o**4 + g*o**3 + o - 5/3*o**2 + 0.
o*(o - 1)**2*(o + 3)/3
Let h be ((-1)/4)/(-19 - -18). Solve -1/4*z**3 + 0*z + 0 - 1/2*z**4 - h*z**5 + 0*z**2 = 0 for z.
-1, 0
Suppose 7*w - 2*w = -5*l + 370, 0 = -3*l + 9. Let t = 785/11 - w. Find a, given that -t*a**2 - 2/11 - 6/11*a = 0.
-1, -1/2
Suppose -3*k**4 + k**5 - k + 257*k**2 - 255*k**2 + k**4 = 0. What is k?
-1, 0, 1
Let d(m) = 6*m**3 + 7*m**2 + 6*m. Let z(f) = 3*f**3 + 3*f**2 + 3*f. Let s(t) = 3*d(t) - 5*z(t). Solve s(y) = 0.
-1, 0
Factor 0*w + 0 - 4*w**2 - 16/3*w**3 - 4/3*w**4.
-4*w**2*(w + 1)*(w + 3)/3
Let c(q) be the third derivative of q**3/6 - 2*q**2. Let n(x) = -2*x**2 + 6*x - 10. Let k(z) = 6*c(z) + n(z). Determine h, given that k(h) = 0.
1, 2
Let u = -30 + 51. Let h be (-7)/u - 2/(-6). Factor h - 1/5*n + 1/5*n**2.
n*(n - 1)/5
Solve 21*f - 21*f + 7*f**3 + 4*f**5 - 5*f**5 + 6*f**2 = 0 for f.
-2, -