i(a) be the first derivative of n(a). Determine w so that i(w) = 0.
-1, 0
Factor 0 - 72/7*r**4 + 27/7*r**5 + 66/7*r**3 - 24/7*r**2 + 3/7*r.
3*r*(r - 1)**2*(3*r - 1)**2/7
Let l(j) = j**3 - 15*j**2 + 13*j + 16. Let a be l(14). Suppose a*u = -c + 2, 0 = -3*c + 3*u - 3. Factor c*k - 2/5*k**2 + 0.
-2*k**2/5
Let t(l) be the second derivative of -4*l**7/21 + 2*l**6/15 + 3*l**5/5 - l**4/3 - 2*l**3/3 - 9*l. Determine y so that t(y) = 0.
-1, -1/2, 0, 1
Let m(h) be the second derivative of h**6/240 + h**5/120 - h**4/48 - h**3/12 - 3*h**2/2 + 2*h. Let p(c) be the first derivative of m(c). Solve p(v) = 0 for v.
-1, 1
Factor 0 + 0*u - 3/7*u**4 - 12/7*u**2 - 12/7*u**3.
-3*u**2*(u + 2)**2/7
Let n(v) be the third derivative of -v**6/600 + 17*v**5/300 - 2*v**4/3 + 32*v**3/15 - 11*v**2. Factor n(m).
-(m - 8)**2*(m - 1)/5
Let b(h) be the second derivative of h**5/60 + h**4/18 - 11*h. Factor b(g).
g**2*(g + 2)/3
Let w = -471 + 11779/25. Let g(b) be the first derivative of -1/15*b**6 + 1 + 0*b + 0*b**4 + 1/5*b**2 - 4/15*b**3 + w*b**5. Let g(q) = 0. Calculate q.
-1, 0, 1
Let q be (6/(-9) + -1)/1. Let x = -4/3 - q. Factor 1/3*t**3 - 1/3*t + 1/3*t**2 - x.
(t - 1)*(t + 1)**2/3
Suppose -z = 3*b - 0*z - 5, 0 = 2*b + 3*z + 6. Factor -2*t**2 - 5/2*t - 1 - 1/2*t**b.
-(t + 1)**2*(t + 2)/2
Solve 0 - 4*d**4 - 22/3*d**3 + 0*d - 2/3*d**5 - 4*d**2 = 0.
-3, -2, -1, 0
Let l = 40/201 - -9/67. Let 2/3 - 2/3*g**2 - 1/3*g**3 + l*g = 0. What is g?
-2, -1, 1
Determine r so that 24/7 + 12/7*r - 6/7*r**2 - 3/7*r**3 = 0.
-2, 2
Let o(i) = -4*i - 18. Let z be o(-6). Let c(w) be the first derivative of 56/5*w**5 + 0*w**3 + 2*w**4 + 0*w + 0*w**2 + 49/3*w**z - 1. Factor c(r).
2*r**3*(7*r + 2)**2
Let x be (-12)/42 + (-114)/(-105). Suppose 0*o**2 + 0 + x*o**3 + 0*o**4 - 2/5*o**5 - 2/5*o = 0. Calculate o.
-1, 0, 1
Suppose 0 = -9*u - 13 + 31. Suppose 0 - 6/5*r - 3/5*r**u + 3/5*r**3 = 0. Calculate r.
-1, 0, 2
Solve -6*g**3 + 3*g**5 - 3/2*g**4 + 3*g + 3*g**2 - 3/2 = 0 for g.
-1, 1/2, 1
Let t(p) = -p**3 + 7*p**2 - 9*p - 5. Let j be t(5). Let m(d) be the second derivative of 0*d**3 - 2*d + j + 0*d**2 + 1/36*d**4 + 1/60*d**5. Factor m(c).
c**2*(c + 1)/3
Let x be -1 + 3*(-2)/(-6). Suppose -4/9*s**2 + x + 2/9*s + 2/9*s**3 = 0. Calculate s.
0, 1
Let i(u) be the first derivative of -u**4/12 + u**3/3 - 4*u/3 - 8. Let i(j) = 0. Calculate j.
-1, 2
Suppose 6 = -398*c + 401*c. Let 1/2 - 1/2*z**4 - 1/4*z**5 + 2*z**c + 7/4*z + 1/2*z**3 = 0. Calculate z.
-1, 2
Let m(u) = -22*u + 110. Let w be m(5). Factor 0*c + 7/2*c**4 - c**2 + 5/2*c**3 + w.
c**2*(c + 1)*(7*c - 2)/2
Let j be (57/(-38))/((-3)/4). Let r(c) be the third derivative of 0*c**4 + 2*c**j + 1/30*c**5 - 1/3*c**3 + 0*c + 0. What is a in r(a) = 0?
-1, 1
Let l(z) be the third derivative of -z**5/60 + z**3/6 + 7*z**2. Solve l(i) = 0.
-1, 1
Factor 9 + 7*t**2 - 15 - 14 + 2 - 61*t.
(t - 9)*(7*t + 2)
Let c = 1335 - 4003/3. Factor -c*l + 1/3 + 1/3*l**2.
(l - 1)**2/3
Let k(p) = 21*p**3 - 10*p**2 - 48*p - 12. Let c(o) = 21*o**3 - 9*o**2 - 48*o - 12. Let m(j) = -5*c(j) + 6*k(j). Factor m(s).
3*(s - 2)*(s + 1)*(7*s + 2)
Let s = -6 + 10. Let k be 7/s - 6/(-8). Let k*i**2 - 2*i**3 - 1/2*i + 0 = 0. What is i?
0, 1/4, 1
Let b(w) be the second derivative of 0 + 0*w**2 + 0*w**3 + 1/30*w**5 + 1/36*w**4 - 4*w + 1/90*w**6. Factor b(p).
p**2*(p + 1)**2/3
Let t = 20 + -10. Determine l, given that 21*l + 27 + 5*l + t*l + 12*l**2 = 0.
-3/2
Suppose 123*t - 16 = 119*t. Factor -2/3*g**2 + 2/3*g**3 + 1/3*g**t + 1/3 - 1/3*g - 1/3*g**5.
-(g - 1)**3*(g + 1)**2/3
Let m = -34 - -37. Factor -4/3*y**2 - 2/3*y**m - 2/3*y + 0.
-2*y*(y + 1)**2/3
Suppose -2*z + 2*c = 134, 5*z - 4*c - 204 = -543. Let a = 287/4 + z. Let 0*o**2 + 0 - 3/4*o**3 + 0*o - a*o**4 = 0. What is o?
-1, 0
Factor -24/7 - 12/7*z + 15/7*z**3 + 3/7*z**4 + 18/7*z**2.
3*(z - 1)*(z + 2)**3/7
Let k be 4/(-2) - -2 - -2. Let d(a) be the second derivative of 1/6*a**4 + 0*a**2 - 1/3*a**3 + 0 - k*a. Factor d(b).
2*b*(b - 1)
Solve -1/5*b**2 - 1/5*b + 0 = 0.
-1, 0
Let c(r) = -3*r**2 - 13*r + 8. Let k(b) = -b**2 - 6*b + 4. Let w(q) = 4*c(q) - 10*k(q). Find a such that w(a) = 0.
2
Suppose 0 = 2*a - 5*s + 7, -4*a - 4*s = s - 31. Let w(c) be the second derivative of 0 + 1/8*c**2 + 1/48*c**a + c - 1/12*c**3. Let w(g) = 0. Calculate g.
1
Let x(j) be the second derivative of -j**4/3 + 22*j**3/3 + 70*j. Factor x(z).
-4*z*(z - 11)
Let x(h) be the first derivative of 6 + 1/12*h**4 + 0*h + 1/3*h**3 + 1/3*h**2. Let x(u) = 0. What is u?
-2, -1, 0
Let b(j) be the first derivative of -j**6/30 - 3*j**5/25 - j**4/10 + 2*j**3/15 + 3*j**2/10 + j/5 - 4. Find z, given that b(z) = 0.
-1, 1
Let s(o) = o**3 + 22*o**2 + o + 22. Let n be s(-22). Let -a**3 + 5/3*a**2 + 1/3*a**5 - 2/3*a + n - 1/3*a**4 = 0. What is a?
-2, 0, 1
Let x = 116 - 113. Determine w so that -3/5*w**x - 3/5 + 3/5*w**2 + 3/5*w = 0.
-1, 1
Let 2/3*y**3 + 0 + 6*y - 4*y**2 = 0. What is y?
0, 3
Let q = -2 - 0. Let p be 3/3 - q/(-6). Suppose d**4 + p*d**3 - 1/3 + 1/3*d**5 - d - 2/3*d**2 = 0. What is d?
-1, 1
Let j(n) = n + 8. Let f be j(-7). Let u = f + 1. Factor 3*l**3 - u*l**3 + l**2 + 0*l**2 + l**2.
l**2*(l + 2)
Let f = 23 - 21. Determine d, given that -4*d + 17 - 21 + 4*d**3 - 8*d**f + 2*d**4 + 10 = 0.
-3, -1, 1
Let z be 10/(-45) - (-178)/(-9). Let m be (-36)/(-10) + (-8)/z. What is s in -11/2*s**2 - 3/2*s**m + 19/4*s**3 + 11/4*s - 1/2 = 0?
1/2, 2/3, 1
Let w = -37 - -57. Suppose 0 = 4*p - 9*p + w. Factor 3/2*d**p - 81/2 + 0*d - 12*d**3 + 27*d**2.
3*(d - 3)**3*(d + 1)/2
Let h(g) be the first derivative of 12*g**5/35 - 2*g**4/7 - 4*g**3/21 - 2. Solve h(r) = 0.
-1/3, 0, 1
Factor -2*d**5 - 2*d + d + 2*d + d + 4*d**2 - 4*d**4.
-2*d*(d - 1)*(d + 1)**3
Let r(d) be the second derivative of 0 + 1/2*d**2 - 1/42*d**4 + 1/210*d**5 - 2*d + 1/21*d**3. Let l(c) be the first derivative of r(c). Factor l(o).
2*(o - 1)**2/7
Let h(t) be the first derivative of -1 - 2/27*t**3 + 0*t - 1/18*t**4 + 1/27*t**6 + 2/45*t**5 + 0*t**2. Factor h(o).
2*o**2*(o - 1)*(o + 1)**2/9
Let y(r) be the first derivative of -r**3/3 - 7*r**2/2 + 10*r + 4. Let g be y(-8). Solve -1/4*t + 0 - 1/4*t**g = 0.
-1, 0
Suppose -2*g - 10 = 0, -3*p + 21 = -2*p - 3*g. Suppose -q = 1 - p. Factor -h**q - h**4 - 3*h**4 + 3*h**5 + 2*h**3.
2*h**3*(h - 1)**2
Find p such that 121/4*p**2 + 1 + 11*p = 0.
-2/11
Let n(l) = -l**3 + 7*l**2 + 9*l - 8. Let k be n(8). Let w(s) be the second derivative of -1/4*s**2 + 1/48*s**4 + k - 1/24*s**3 - s. Factor w(u).
(u - 2)*(u + 1)/4
Let j be (14/(-35))/(1 - 3). Let 0*m**2 + 1/5*m**3 - j*m + 0 = 0. What is m?
-1, 0, 1
Let -12*q**4 - 6*q**2 - 9*q + 3*q**5 + 9*q + 15*q**3 = 0. Calculate q.
0, 1, 2
Let x(y) be the third derivative of 0*y**3 + 0*y + 0 + 1/84*y**4 + 3*y**2 - 1/210*y**5. Factor x(v).
-2*v*(v - 1)/7
Suppose 2*y = -4*v - 3*y + 10, 3*v + y = 2. Suppose v = 9*o - 10*o. Factor 2/3*a - 2/3*a**2 + o.
-2*a*(a - 1)/3
Let m be (960/(-54))/10*(-6)/8. Factor -m*o**3 + 0*o**2 + 4/3*o + 0.
-4*o*(o - 1)*(o + 1)/3
Let x(i) = -6*i**5 - 18*i**4 - 30*i**3 - 6*i**2 + 33*i + 21. Let z(a) = a**5 - a**3 + a + 1. Let n(k) = x(k) + 3*z(k). Factor n(w).
-3*(w - 1)*(w + 1)*(w + 2)**3
Suppose -2*z + 7*l - 4*l + 12 = 0, 5*z - l = 17. Let j = 35/27 + 1/27. Factor 0 - j*p**2 - 2/3*p - 2/3*p**z.
-2*p*(p + 1)**2/3
Suppose -5*u = -u, -60 = 5*f - 5*u. Let q be (-6)/12 + (-22)/f. Factor -4/3*i**3 + 0*i**2 - 2/3 + 2/3*i**4 + q*i.
2*(i - 1)**3*(i + 1)/3
Suppose 8 + 3*b + 9*b**2 - b**2 - 12*b**3 - 4*b + 29*b = 0. Calculate b.
-1, -1/3, 2
Suppose -d + 2*d - 2 = 0. Factor 4*k**d - k + 4*k + k**2 - 2*k**2.
3*k*(k + 1)
Let m(k) = 8*k**3 - 4*k**2 - 6. Let s(j) = -j**3 + 1. Let g(h) = -m(h) - 6*s(h). Suppose g(q) = 0. What is q?
0, 2
Let y(f) = f**3 + 3*f**2 + 2. Let u be y(-3). Let a(b) = -2*b - 29. Let l be a(-15). Determine w, given that 1/4*w**u + l + w = 0.
-2
Factor 3/4*c**4 + 0 + 3/2*c - 3/2*c**3 - 3/4*c**2.
3*c*(c - 2)*(c - 1)*(c + 1)/4
Let c(o) = o**3 - 8*o**2 + 7*o - 4. Let t be c(7). Let x be (7 + -7)*2/t. Determine b so that 5/2*b**4 + 0*b + 9/4*b**3 + x + 1/2*b**2 + 3/4*b**5 = 0.
-2, -1, -1/3, 0
Let p(y) be the second derivative of y**8/6720 + y**7/1680 - 2*y**3/3 + 8*y. Let h(i) be the second derivative of p(i). Factor h(r).
r**3*(r + 2)/4
Let o(p) = p**3 - 7*p**2 + 6*p + 3. Let s be o(6). Factor -2*l**4 + l**4 - 8 + 3*l + l**s - 7*l + 6*l**2