n that r(d) = 0.
-1, 2
Let m = -3/62 - -511/310. Factor -m*i**2 - 4/5 - 2*i - 2/5*i**3.
-2*(i + 1)**2*(i + 2)/5
Let y(l) = -l**2 + 9*l - 16. Let v be y(6). Suppose 2 = x - 2*x + m, 0 = -4*x - m + v. What is k in -3*k + x + 21/2*k**2 = 0?
0, 2/7
Let v(z) = z**3 - 3*z**2 + 3*z. Let y be v(2). Factor -9*f - 4*f**3 + 6*f**y + 3 + f**4 + 5*f - 2.
(f - 1)**4
Solve 4/9*b**3 + 2/9*b**4 - 4/9*b + 0*b**2 - 2/9 = 0 for b.
-1, 1
Let i(x) be the second derivative of x**4/60 - x**2/10 + 3*x. Factor i(w).
(w - 1)*(w + 1)/5
Let o(i) be the third derivative of 2*i**5/45 - 7*i**4/36 - 2*i**3/9 + 7*i**2 - 3*i. Let o(j) = 0. Calculate j.
-1/4, 2
Let y(o) be the second derivative of o**6/600 - o**4/120 + o**2 - 5*o. Let i(f) be the first derivative of y(f). Factor i(s).
s*(s - 1)*(s + 1)/5
Let d(c) be the second derivative of 0 + 1/6*c**4 + 1/30*c**6 - 1/6*c**2 + 2/15*c**5 + 0*c**3 + 6*c. Suppose d(h) = 0. What is h?
-1, 1/3
Let c(t) be the second derivative of -t**8/168 + 2*t**7/105 - t**5/15 + t**4/12 + 3*t**2/2 + 3*t. Let q(k) be the first derivative of c(k). Factor q(g).
-2*g*(g - 1)**3*(g + 1)
Let g(d) be the first derivative of 4/9*d**6 - 2/3*d + 2*d**5 + 0*d**2 + 2 + 10/3*d**4 + 20/9*d**3. Suppose g(f) = 0. Calculate f.
-1, 1/4
Let c be (-3)/(-12) + 34/(-8). Let a be (-9)/33*c/6. Determine h so that -2/11*h**2 - 6/11*h**4 + 0*h - a*h**5 + 0 - 6/11*h**3 = 0.
-1, 0
Suppose -3 = 3*f - r + 1, f - 2 = 2*r. Let m be f + (6 - 2)/1. Factor 0 - 2/9*q**3 + 2/9*q**m + 0*q.
-2*q**2*(q - 1)/9
Let m(j) be the second derivative of j**7/231 - 4*j**6/165 + 3*j**5/55 - 2*j**4/33 + j**3/33 + j. Factor m(o).
2*o*(o - 1)**4/11
Suppose -p = -5*p + 8. Suppose p*a = -0*y - 2*y - 2, -3*a - 9 = 0. Solve -d + 2 + y*d**3 - 2*d**2 - 4*d + 3*d = 0.
-1, 1
Suppose 10 = 3*n + 2*q, -4 + 0 = -4*n + 2*q. Let k be 3 + 9/(-24)*n. Factor 1/2*s - 5/4*s**4 + 0 + k*s**3 + 1/4*s**5 - 7/4*s**2.
s*(s - 2)*(s - 1)**3/4
Let h be 48/25 - (-58)/725. Solve -3/7*j**h + 12/7*j - 12/7 = 0 for j.
2
Let r = 141 + -141. Let t(w) be the second derivative of -1/78*w**4 - 9/13*w**2 - 2/13*w**3 + 2*w + r. Factor t(j).
-2*(j + 3)**2/13
Suppose -10/9*z + 8/9 + 2/9*z**2 = 0. What is z?
1, 4
Let l(u) be the second derivative of 2*u**2 + 0 - 2*u + 1/3*u**3 - 1/40*u**5 - 1/12*u**4. What is b in l(b) = 0?
-2, 2
Suppose 4*q = -5*w + 25, 5*q + 0*q = 4*w + 21. Suppose 0*u - 12/5*u**4 + 3/5*u**q + 0 - 6/5*u**2 + 3*u**3 = 0. What is u?
0, 1, 2
Let x(n) be the first derivative of n**4/8 - 3*n**2/4 - n - 12. Factor x(w).
(w - 2)*(w + 1)**2/2
Let p(i) be the second derivative of i**5/80 + i**4/16 + i**3/12 - i. Factor p(k).
k*(k + 1)*(k + 2)/4
Let d(o) = 9*o**3 - 3*o**2 + 3*o + 3. Let k(z) = -19*z**3 + 7*z**2 - 7*z - 7. Let y(p) = -13*d(p) - 6*k(p). Factor y(h).
-3*(h - 1)*(h + 1)**2
Let m(g) = 3*g - 4. Let a be m(4). Solve -2*j**3 - 5*j - j + a*j = 0 for j.
-1, 0, 1
Let g(a) be the second derivative of a**4/24 + 3*a**3/2 + 81*a**2/4 + a - 16. Factor g(y).
(y + 9)**2/2
Let k = 13 + -11. Let y be 22/6 + (-2)/3. Factor -k*a**y - 4*a**4 - 2*a**5 + 2 - 2.
-2*a**3*(a + 1)**2
Solve 0*y + 0*y**2 + 0 + 0*y**4 - 2/7*y**5 + 2/7*y**3 = 0.
-1, 0, 1
Let s = -8 - -9. Let l be 1/1*s*0. Factor -5/3*c**3 + l*c + 1/3*c**2 - c**5 + 0 + 7/3*c**4.
-c**2*(c - 1)**2*(3*c - 1)/3
Let t(b) = -b + 1. Let d be t(0). Suppose -2*v - d = -v - 3*o, 0 = 4*v - 3*o - 5. Factor -4*f - f - v*f**2 + 4*f - 2 - 3*f.
-2*(f + 1)**2
Let u(i) be the third derivative of -i**8/16800 + i**7/2100 - i**6/900 + i**4/4 - 3*i**2. Let w(r) be the second derivative of u(r). Factor w(s).
-2*s*(s - 2)*(s - 1)/5
Suppose 5*o = 3*m + 23 + 3, m = -4*o + 14. Factor 6*c**o + 2 + 0*c**3 - 3*c + 6*c**3 - 3*c + 2*c**4 - 10*c**2.
2*(c - 1)*(c + 1)**2*(4*c - 1)
Let y be 18/21*(-14)/(-3). Let t = 2 + 1. Let 2*b**5 - 2*b + 3*b**3 + b**t - y*b**5 = 0. What is b?
-1, 0, 1
Let i(n) = -n**3 - 5*n**2 + 6*n. Let l be i(-6). Let r = 131 + -915/7. Suppose l*z**3 + 0*z - 4/7*z**2 + r + 2/7*z**4 = 0. What is z?
-1, 1
Let h(l) be the first derivative of -5*l**4/4 + 8*l**3/3 - 8*l**2/5 - 17. Factor h(j).
-j*(5*j - 4)**2/5
Let f(t) = -2*t**2 + 10*t - 2. Let a = -6 - -11. Let o(h) = 2*h**2 - 9*h + 2. Let j(m) = a*f(m) + 6*o(m). Find g, given that j(g) = 0.
1
Let s(j) be the first derivative of -j**3/8 + 3*j**2/8 + 3. Factor s(z).
-3*z*(z - 2)/8
Let o(x) be the second derivative of x**6/80 + x**5/40 + x**4/48 + x**3/2 - x. Let b(j) be the second derivative of o(j). Suppose b(u) = 0. Calculate u.
-1/3
Suppose 3*k + 3*t = -0*k - 21, 3*k + 13 = t. Let s = 10 + k. Determine m so that 3*m**2 + s - 6 + 2 + 3*m + m**3 = 0.
-1
Let h(i) = 8*i**2 - 9*i + 11. Let r(d) = -7*d**2 + 9*d - 10. Let v(p) = 4*h(p) + 5*r(p). Factor v(x).
-3*(x - 2)*(x - 1)
Let o be (-27)/6*(-6)/9. Suppose -o*j + j = 0. Factor -2*u**2 - 1/2*u**4 + 0 + j*u + 2*u**3.
-u**2*(u - 2)**2/2
Let h be -10*(9/5 + -1). Let w = h - -10. Determine n so that -n**3 + 2*n**3 + n**2 - w*n**2 = 0.
0, 1
Let u = 103 - 103. Let z(c) be the third derivative of -1/21*c**3 - 1/210*c**6 + 1/735*c**7 + 0*c - 3*c**2 + 0 + 1/42*c**4 + u*c**5. Factor z(d).
2*(d - 1)**3*(d + 1)/7
Let i(b) be the third derivative of b**7/10080 + b**6/1440 + b**5/480 + b**4/6 + b**2. Let q(w) be the second derivative of i(w). Let q(r) = 0. What is r?
-1
Let t(f) be the third derivative of 0 + 0*f**5 + 0*f**3 + 0*f + 1/96*f**4 - 3*f**2 - 1/480*f**6. Factor t(z).
-z*(z - 1)*(z + 1)/4
Suppose 29*z - 22*z = 0. Solve -2/5*y + z + 1/5*y**2 = 0 for y.
0, 2
Let k(t) be the third derivative of t**5/12 + 5*t**4/4 + 15*t**3/2 - 12*t**2. Factor k(d).
5*(d + 3)**2
Suppose -2*s = -2 - 0, 3*l - 289 = -s. Let c be 19/24 + (-12)/l. Solve -c*w - 2/9*w**2 - 4/9 = 0 for w.
-2, -1
Let s = 11/7 + 27/14. Let g(r) be the first derivative of 6/5*r**5 + 1 + 0*r + r**2 + s*r**4 + 10/3*r**3. Suppose g(q) = 0. Calculate q.
-1, -1/3, 0
Factor -9/4*x - 3*x**2 + 0 - 3/4*x**3.
-3*x*(x + 1)*(x + 3)/4
Let y = 342 - 340. Suppose 16/5*n**y + 0*n + 108/5*n**4 + 0 + 72/5*n**3 + 54/5*n**5 = 0. Calculate n.
-2/3, 0
What is b in -2/3*b**3 + 0*b**2 + 2/3*b - 1/3 + 1/3*b**4 = 0?
-1, 1
Let i be (-3)/(-28) - (-3)/21. Let p(j) be the first derivative of 1/12*j**3 + 1/4*j - 1 + i*j**2. Factor p(a).
(a + 1)**2/4
Find r such that -187*r - 7*r + 22*r - 9*r**2 + 72 - 11*r**2 = 0.
-9, 2/5
Suppose 4*p - 4*l = 324, -4*l = -5*p - 2*l + 402. Let y = 52 + -16. Factor 2 + 64*f + 14 + 24*f**2 + y*f**4 - 11*f**4 - p*f**3.
(f - 2)**2*(5*f + 2)**2
Let u(w) be the second derivative of w**5/50 - w**4/3 + 4*w**3/5 + 72*w**2/5 + 14*w. Factor u(y).
2*(y - 6)**2*(y + 2)/5
Let u(x) be the third derivative of -x**6/1440 - x**5/240 - x**4/96 + x**3/6 - 2*x**2. Let c(v) be the first derivative of u(v). Determine o so that c(o) = 0.
-1
Let d = 22 + -109/5. Let i be -3 - (-5 - (-2)/1). Factor i - 1/5*p + d*p**2 + 1/5*p**3 - 1/5*p**4.
-p*(p - 1)**2*(p + 1)/5
Let o(k) be the second derivative of 1/15*k**6 + 1/6*k**4 + 1/5*k**5 - 3*k + 0*k**3 + 0 + 0*k**2. Determine g, given that o(g) = 0.
-1, 0
Suppose -6*j + 180 = -0*j. Let k = 34 - j. Factor 0 + 0*r + 2/3*r**k + 2/3*r**5 - 2/3*r**2 - 2/3*r**3.
2*r**2*(r - 1)*(r + 1)**2/3
Suppose 4*j - j = 5*d - 31, -4*d - 4*j = -12. Factor 5*z**2 - d*z**2 + 2*z**3 - z - z**5.
-z*(z - 1)**2*(z + 1)**2
Let l(t) = 5*t**2 - 1. Let m be l(1). Let i = 7 - m. Factor 2*z**i - 2 + 2 - 2*z**2.
2*z**2*(z - 1)
Let q = -25 + 29. Let o be (1/6)/(3/q). Factor 0 + 2/9*y**3 - o*y**2 + 2/9*y**4 - 2/9*y.
2*y*(y - 1)*(y + 1)**2/9
Suppose 2 = h + 1, 0 = -2*j - 4*h + 12. Suppose j*q = -q. Factor 4/7*c + q - 10/7*c**2 - 2/7*c**4 + 8/7*c**3.
-2*c*(c - 2)*(c - 1)**2/7
Let v(a) = -a - 3. Let z be v(-6). Factor -1/4*b**z - 3/4*b - 1/4 - 3/4*b**2.
-(b + 1)**3/4
Factor 16/7*j**2 + 0*j**4 + 2/7*j**5 - 6/7*j + 0 - 12/7*j**3.
2*j*(j - 1)**3*(j + 3)/7
Let q be -2 + ((-18)/(-1))/3. Let b(o) = -o**2 - 4*o + 3*o**3 + 0*o**2 - 2*o. Let k(z) = -3*z**3 + z**2 + 5*z. Let p(t) = q*k(t) + 3*b(t). Factor p(h).
-h*(h - 1)*(3*h + 2)
Suppose 2*n - 5*n = 0. Let q(m) be the third derivative of 0*m**4 + 1/180*m**5 + n + 0*m + 0*m**3 - 1/360*m**6 - m**2. Factor q(w).
-w**2*(w - 1)/3
Suppose -4*l = l - 20. Suppose -l*g + 19 = -5. Solve -a**2 + 3 - 5*a + a**3 - 2*a + g*a - 2 = 0 for a.
-1, 1
Let a(y) be the third derivative of y**8/4800 + 2*y**7/1575 + y**6/900 + 5*y**4/24 - 6*y**2. 