a**4 + 0 + m*a**3 + 0*a**2 + 2*a. Determine n, given that q(n) = 0.
-2, 0
Let r(o) be the first derivative of -o**4/3 - 8*o**3/3 - 22*o**2/3 - 8*o + 22. Find g such that r(g) = 0.
-3, -2, -1
Let w(x) be the first derivative of -x**4/4 + 3*x**3/4 - x**2/4 - 7. Factor w(q).
-q*(q - 2)*(4*q - 1)/4
Solve 2/3*k**3 + 16*k**4 - 4*k**2 + 32/3*k**5 + 0 + 2/3*k = 0 for k.
-1, 0, 1/4
Let l = 5 + -3. Suppose 3 = -b + 2*b. Factor 2*x**2 - l - b*x + 3*x.
2*(x - 1)*(x + 1)
Let u = 1 - -7. Let i = u - 5. Let 2*y**3 + 5 + y**2 - 3*y**2 - 2*y - i = 0. What is y?
-1, 1
Let l(k) = 3*k**2 + 24*k + 3. Let w be l(-8). What is c in -1/2*c + 1/2*c**4 + c**w - 1/2*c**5 + 1/2 - c**2 = 0?
-1, 1
Let c(j) be the third derivative of -j**6/100 - 2*j**5/75 + 13*j**4/60 - 2*j**3/5 + 37*j**2. Find b such that c(b) = 0.
-3, 2/3, 1
Let t(r) be the second derivative of r**6/15 - r**5/5 + r**4/6 + 7*r. Factor t(x).
2*x**2*(x - 1)**2
Let d(s) be the first derivative of 5*s**4/4 - 10*s**3/3 - 5*s**2/2 + 10*s + 11. Factor d(m).
5*(m - 2)*(m - 1)*(m + 1)
Let t = -3/1082 + -30257/14066. Let c = -170/91 - t. Factor -c*s**2 + 0 + 2*s**4 + 8/7*s**5 + 4/7*s**3 + 0*s.
2*s**2*(s + 1)**2*(4*s - 1)/7
Let c(f) be the second derivative of f**7/126 + 2*f**6/45 + f**5/12 + f**4/18 + f + 11. Let c(i) = 0. What is i?
-2, -1, 0
Let a(m) be the third derivative of m**5/120 + m**4/48 + 11*m**2. Solve a(z) = 0 for z.
-1, 0
Let n = 329/1005 - -2/335. Let k(v) be the second derivative of 0 - 1/36*v**4 + v + n*v**2 + 1/18*v**3. Factor k(z).
-(z - 2)*(z + 1)/3
Suppose -4*o = -4*a + 20, 5*a + 5 = 2*o - 3*o. Factor 0*j**2 + j**4 - 1/2*j**3 + a - 1/2*j**5 + 0*j.
-j**3*(j - 1)**2/2
Let z(i) be the third derivative of i**7/630 - i**6/216 + i**5/540 + i**4/216 - 22*i**2. Factor z(f).
f*(f - 1)**2*(3*f + 1)/9
Let k = 32 - 30. Let t(z) be the first derivative of -4/3*z**k + 3 - 2/3*z**3 + 8/3*z. Let t(h) = 0. What is h?
-2, 2/3
Let i be 10/(-6) + (-6)/(-9). Let c be (1/i)/((-2)/8). Factor -7/5*p**2 + 0 - 8/5*p**3 - 2/5*p - 3/5*p**c.
-p*(p + 1)**2*(3*p + 2)/5
Let p(v) be the third derivative of 2/15*v**6 + 1/840*v**8 - 32/15*v**3 - 8/15*v**5 - 2/105*v**7 + 4/3*v**4 + 0*v - 3*v**2 + 0. Let p(c) = 0. Calculate c.
2
Let o(f) be the first derivative of f**8/8400 + f**7/4200 - f**6/1800 - f**5/600 + f**3 - 3. Let k(x) be the third derivative of o(x). Factor k(u).
u*(u - 1)*(u + 1)**2/5
Let l = -1259/15 - 7/5. Let q = l + 86. Find a such that q*a + 2/3*a**4 - 2/3*a**3 - 2*a**2 + 4/3 = 0.
-1, 1, 2
Let l(z) be the first derivative of -z**4/18 + 4*z**3/27 + 7*z**2/9 + 8*z/9 + 7. Factor l(m).
-2*(m - 4)*(m + 1)**2/9
Let v(g) be the first derivative of -g**7/42 - g**6/40 + g**5/30 + g**2 + 3. Let l(d) be the second derivative of v(d). Find n, given that l(n) = 0.
-1, 0, 2/5
Let q be -11 - -5 - (-19)/3. Factor -q*v**4 + 0 - 8/3*v - 4*v**2 - 2*v**3.
-v*(v + 2)**3/3
Let g(j) = j + 10. Let m be g(-8). Suppose m*n - 5*c - 11 = 0, 2*n + 2*c = 3*c + 7. Let 6*k**2 + 14*k**n - 8*k**4 + 0*k**4 + 4 - 14*k - 2*k**4 = 0. Calculate k.
-1, 2/5, 1
Let m(x) be the second derivative of x**6/660 - x**4/44 + 2*x**3/33 + x**2/2 - 3*x. Let u(g) be the first derivative of m(g). Determine i, given that u(i) = 0.
-2, 1
Let n be (-2 - 1)/((-3)/10). Let q be 2/n - (-38)/10. Factor -6*l**2 + 0*l**2 - 1 - q*l**3 - 2*l**4 + l**4 - 4*l.
-(l + 1)**4
Let a(k) = 4*k**3 - k**2 + k. Let v be a(1). Determine l, given that -4 - 21*l**3 + 2*l + 19*l**3 + 8*l**2 - v*l**2 = 0.
-1, 1, 2
Let b(z) be the second derivative of z**7/4200 + z**6/900 + z**5/600 - z**3/3 - 4*z. Let r(i) be the second derivative of b(i). Let r(h) = 0. What is h?
-1, 0
Suppose 4*b + 5*l - 23 = -2, 2*l = -b + 3. Let w = -5 + b. What is g in -g**5 - 2*g**w - g**5 + 0*g**4 + 0*g**5 = 0?
-1, 0
Let d(x) be the third derivative of 0*x**3 + 6*x**2 - 1/144*x**4 + 0*x + 0 + 1/360*x**5. Factor d(t).
t*(t - 1)/6
Let o = -1 + 5. Let q = 8 - o. Solve -2*i**5 + 0*i**5 - i**3 + 2*i**4 + i**q = 0.
0, 1/2, 1
Let c(y) = y**2 - 5*y - 4. Let d be c(6). Solve -4 + 2 + 4*z**2 - d*z**2 = 0 for z.
-1, 1
Let i(k) be the second derivative of -1/30*k**4 + 1/105*k**7 + 0*k**2 + 0 - 1/50*k**5 + 0*k**3 + 1/75*k**6 + 8*k. Factor i(u).
2*u**2*(u - 1)*(u + 1)**2/5
Let w(y) = -y**2 + 7*y + 2. Let c be w(7). Suppose 0*k - 6 = -c*k. Let 2*o**3 - 2*o**5 - o**3 + k*o**3 - 2*o = 0. Calculate o.
-1, 0, 1
Let m(v) = -5*v**4 + 7*v**3 + 4*v**2 + 2*v. Let p(n) = 6*n**4 - 8*n**3 - 5*n**2 - 3*n. Let u(l) = 3*m(l) + 2*p(l). Factor u(s).
-s**2*(s - 2)*(3*s + 1)
Let w(g) be the second derivative of -3*g + 1/24*g**3 - 1/80*g**5 - 1/48*g**4 + 1/8*g**2 + 0. Factor w(t).
-(t - 1)*(t + 1)**2/4
Let s be 9/42 - (-8)/28. Let d(z) be the first derivative of -s*z**2 + 0*z**4 + 1 + 0*z - 2/5*z**5 + 1/6*z**6 + 2/3*z**3. Factor d(q).
q*(q - 1)**3*(q + 1)
Let w be ((-11)/44*-2)/(14/24). Factor 2/7 - 2/7*f**3 + w*f**2 - 6/7*f.
-2*(f - 1)**3/7
Let x = 49/12 - 23/6. Factor x*j**4 - 1/4*j - 1/4*j**2 + 1/4*j**3 + 0.
j*(j - 1)*(j + 1)**2/4
Find k such that 2/7*k**2 + 0 + 2/7*k = 0.
-1, 0
Suppose p - 13 = -5*c, 2*c + 5*p + 0*p = 19. Suppose -q - c*q + 9 = 0. Factor -2/5*y**q + 2/5*y + 0*y**2 + 0.
-2*y*(y - 1)*(y + 1)/5
Let t(v) = -v**3 - 14*v**2 + 16*v + 20. Let y be t(-15). Let d = 0 - 0. Factor -2*h**5 + h**y + d*h**3 + h**3.
-h**3*(h - 1)*(h + 1)
Let b be 6/1 - (9 + -7). Factor g**3 - 4*g**3 - g**b + 2*g**4 - 6*g**2 + 2*g**4.
3*g**2*(g - 2)*(g + 1)
Determine r, given that -6*r - 7 + 6 + 4*r**2 + 3 = 0.
1/2, 1
Let r(d) be the first derivative of -d**4/22 - 4*d**3/33 + d**2/11 + 4*d/11 + 13. Factor r(t).
-2*(t - 1)*(t + 1)*(t + 2)/11
Let o(w) = -4*w**4 + 25*w**3 - 17*w**2 - 12*w + 21. Let s = 1 + -7. Let t(q) = q**4 - 6*q**3 + 4*q**2 + 3*q - 5. Let a(i) = s*o(i) - 26*t(i). Factor a(v).
-2*(v - 2)*(v - 1)**2*(v + 1)
Let m be (3 + 44/(-12))/(-4). Let v(a) be the second derivative of -m*a**3 + 0 - 1/24*a**4 + a + 0*a**2. Find p such that v(p) = 0.
-2, 0
Factor 3*j**2 + 6*j + j**2 - 36 + 5*j**2 - j**2 - 2*j**3.
-2*(j - 3)**2*(j + 2)
Factor -1058/3 - 2/3*x**2 + 92/3*x.
-2*(x - 23)**2/3
Let h = 12 - 10. Let r(g) be the second derivative of -1/3*g**3 + h*g + 0 + 1/10*g**5 + 1/6*g**4 - g**2. Factor r(n).
2*(n - 1)*(n + 1)**2
Let x(j) be the second derivative of -j**7/147 + j**6/15 - 19*j**5/70 + 25*j**4/42 - 16*j**3/21 + 4*j**2/7 + 29*j. Factor x(p).
-2*(p - 2)**2*(p - 1)**3/7
Let z(j) be the first derivative of j**6/420 + j**5/210 - j**4/84 - j**3 - 1. Let n(v) be the third derivative of z(v). Solve n(b) = 0.
-1, 1/3
Let k(f) be the second derivative of -f**5/30 + f**4/18 - f. Factor k(y).
-2*y**2*(y - 1)/3
Let o(x) be the second derivative of -x**4/90 - 2*x**3/45 + x**2/5 + 7*x. Factor o(i).
-2*(i - 1)*(i + 3)/15
Let l(v) be the first derivative of v**4/16 + v**3/3 + 5*v**2/8 + v/2 + 4. Let l(p) = 0. Calculate p.
-2, -1
Let d(y) be the first derivative of y**7/4620 + y**6/660 + y**5/220 + y**4/132 + y**3/3 + 3. Let h(g) be the third derivative of d(g). Let h(t) = 0. What is t?
-1
Let k(p) be the first derivative of 1/11*p**2 + 0*p**3 - 1/22*p**4 + 0*p + 7. Factor k(w).
-2*w*(w - 1)*(w + 1)/11
Let t be ((-69)/(-92))/((-6)/(-4)). Factor 0 + 0*p**2 + 1/4*p**4 + 0*p - t*p**3.
p**3*(p - 2)/4
Let k(x) = -2*x**5 + 8*x**4 - 4*x**3 - 15*x**2 - x - 5. Let h(m) = 3*m**5 - 9*m**4 + 3*m**3 + 15*m**2 + 6. Let f(j) = 5*h(j) + 6*k(j). Factor f(a).
3*a*(a - 2)*(a + 1)**3
Suppose 184 = 4*s - 476. Suppose -2*n + 7*n = s. Factor -n*q + 6*q + 54*q**3 + 36*q**2 - 81*q**4 + 3*q.
-3*q*(3*q - 2)**2*(3*q + 2)
Find z, given that -64/5 + 12/5*z**2 + 2/5*z**3 + 0*z = 0.
-4, 2
Suppose 0 = -17*c + 41 - 7. Let p(b) be the second derivative of 0*b**3 + 0*b**c + 0 - 1/36*b**4 - 1/60*b**5 - 2*b. Solve p(j) = 0.
-1, 0
Let m(t) = -t - 3 + 0*t + 4. Suppose 9*s - 4*s = -25. Let h(w) = 2*w**3 + 6*w**2 + 11*w - 3. Let n(z) = s*m(z) - h(z). Factor n(q).
-2*(q + 1)**3
Let p(y) = -y**2 + 2*y + 3. Let l(j) = -j**2 + 2*j + 4. Let s(x) = -4*l(x) + 5*p(x). Suppose s(a) = 0. Calculate a.
1
Let g(d) = -d**3 - 11*d**2 - 9*d + 13. Let i be g(-10). Let 1/2*l**i - 1/4*l + 1/4*l**4 + 1/4 - 1/2*l**2 - 1/4*l**5 = 0. Calculate l.
-1, 1
Let a(i) be the first derivative of -i**3/7 - 3*i**2/7 + 9*i/7 - 15. Find d such that a(d) = 0.
-3, 1
Factor -25*h**2 + 32*h**2 - h - h**5 - 9*h**3 + 5*h**4 - h.
-h*(h - 2)*(h - 1)**3
Let 