nd derivative of b(h). What is n in z(n) = 0?
0, 1
Let z be (11/33)/(1/5). Factor -x**4 - 7/3*x**3 - z*x**2 + 0 - 1/3*x.
-x*(x + 1)**2*(3*x + 1)/3
Let i(f) be the third derivative of 1/4*f**4 - f**2 - 1/2*f**3 - 1/20*f**5 + 0 + 0*f. Determine b, given that i(b) = 0.
1
Suppose 0 = -3*j - 5*u + 8, -2*u + 5 = 5*j - 2. Let l be (1 + j)/((-3)/(-12)). Suppose p**2 - 4*p**3 - 3*p**4 + l*p**4 + 2*p**5 - 4*p**5 = 0. Calculate p.
0, 1/2, 1
Let l = 277/3 + -92. Factor 1/3*n**5 + 0 + 0*n**2 + l*n**4 + 0*n**3 + 0*n.
n**4*(n + 1)/3
Let o(d) = 3*d**3 - 6*d**2 + 3. Let c(q) = 6*q**3 - 12*q**2 + q + 5. Let k(m) = -3*c(m) + 5*o(m). Suppose k(a) = 0. What is a?
0, 1
Let m be 3/(27/12) - 44/66. Factor -1/3*c**2 - m*c - 1/3.
-(c + 1)**2/3
Let g(t) = t - 13. Let d be ((-20)/6)/(8/(-36)). Let c be g(d). Let 0*r + 0 - 2/3*r**2 - c*r**4 - 2*r**3 - 2/3*r**5 = 0. What is r?
-1, 0
Let r(p) be the first derivative of -p**4/22 + 2*p**3/33 + 2*p**2/11 + 9. Factor r(y).
-2*y*(y - 2)*(y + 1)/11
Let h(i) = -i**2 - 7*i - 6. Let x be h(-5). Let g be 39/15 - x/(-10). Factor -l**4 + 0*l**3 - 4*l**g + 3*l**3 + l + l**2 + 0*l**2.
-l*(l - 1)*(l + 1)**2
Let b(y) be the first derivative of -y**4/4 - 2*y**3/3 + 21. Find i such that b(i) = 0.
-2, 0
Let x(a) be the second derivative of -a**7/105 + a**5/30 + a**2/2 - 3*a. Let z(b) be the first derivative of x(b). Determine i so that z(i) = 0.
-1, 0, 1
Let t be -1*(-1)/1 - 1. Determine v so that 10*v**5 - 6*v**5 + 8*v**4 + 4*v**3 + t*v**4 = 0.
-1, 0
Let q(t) = 3*t + 0*t**3 - 2*t - 3*t**2 + 3 + t**3 - 4*t**3. Let k(v) = 7*v**3 + 7*v**2 - 2*v - 7. Let f(y) = 2*k(y) + 5*q(y). Factor f(m).
-(m - 1)*(m + 1)**2
Suppose 3*v - 8*v = 5*r - 535, -4*v - 20 = 0. Let l be r/(-64) - -3*1. Suppose l*f**3 + 1/2*f**2 + 0 + 0*f = 0. Calculate f.
-2/5, 0
Let k(h) be the third derivative of -h**5/12 - 5*h**4/6 + 23*h**2. Let k(u) = 0. What is u?
-4, 0
Solve -2935*p**4 - 42*p**2 + 4*p**3 + 2920*p**4 + 107*p**3 = 0.
0, 2/5, 7
Suppose 4*t - 104 = -16. Find x, given that 123*x + 2 + 2 - 149*x + t*x**2 = 0.
2/11, 1
Let -6/7 + 27/7*n + 6/7*n**2 - 27/7*n**3 = 0. What is n?
-1, 2/9, 1
Let a = 0 + 1. Suppose 3 = d + a. Factor g**4 - 3*g**d - 2*g**2 + 4*g**2.
g**2*(g - 1)*(g + 1)
Suppose 2*j - 10 = -0*j. Factor 2*x**3 + j*x**4 - x - x**4 + x + 2*x**5.
2*x**3*(x + 1)**2
Suppose -5*t + 16 = -2*q, 4*q - t = -5*t + 24. Let y(j) be the first derivative of 0*j + 0*j**2 - 2/15*j**3 + q. Solve y(z) = 0 for z.
0
Let q(i) be the second derivative of -49*i**4/6 + 59*i**3/6 - 11*i**2/2 - 3*i. Let v(x) = -98*x**2 + 60*x - 12. Let g(j) = 4*q(j) - 3*v(j). Factor g(y).
-2*(7*y - 2)**2
Suppose 0*n + 3*j + 1 = -n, -5*n = -j - 11. Find h, given that -2*h + 7*h + h - 3*h**n = 0.
0, 2
Suppose -v - 5 = -5*y, 5*y = -2*v + 4 + 16. Factor 0*j**3 - 4/5*j**y + 2/5*j + 4/5*j**4 - 2/5*j**5 + 0.
-2*j*(j - 1)**3*(j + 1)/5
Let m be -4*(-2)/8*-2. Let i be (1 + -1)/(0 - m). Determine c so that 0*c + 2/3*c**5 + i + 2/3*c**2 + 2*c**4 + 2*c**3 = 0.
-1, 0
Let m(o) = -o**2 + 2*o. Let f be m(1). Let l be 0/((3 - 2)*f). What is q in 4*q**3 - q**3 - 4*q + 18*q**4 + q**3 - 18*q**2 + l*q**2 = 0?
-1, -2/9, 0, 1
Factor -9/4*w**4 + 15/2*w**3 - 3*w**2 + 0 - 6*w.
-3*w*(w - 2)**2*(3*w + 2)/4
Let m(s) be the third derivative of s**6/120 + s**5/60 - s**4/24 - s**3/6 - 2*s**2. Find o such that m(o) = 0.
-1, 1
Let m(g) be the third derivative of g**6/540 - g**5/270 - g**4/54 + 6*g**2. Factor m(r).
2*r*(r - 2)*(r + 1)/9
Suppose f + 20 = 6*f. Let y(d) be the first derivative of 0*d**3 - 2 + 1/2*d - 1/4*d**f - 1/10*d**5 + 1/2*d**2. Factor y(u).
-(u - 1)*(u + 1)**3/2
Let v(z) = z**3 + 5*z**2 - z - 3. Let x be v(-5). Let g be 2 - (-3 + (-2 - -3)). Determine j so that -j**g - j**3 + x*j**2 - 2*j**3 + 2*j**4 = 0.
0, 1, 2
Suppose 2*x - 3*k - k - 4 = 0, -5*x - 65 = 5*k. Let b = -3 - x. Factor 2*z + 3 - b*z + z**3 - 6 + 1.
(z - 2)*(z + 1)**2
Suppose p = -0*p + 4. What is q in 4*q**2 - 8*q**5 - 4*q**p + 2*q**5 - 2*q + 8*q**5 = 0?
-1, 0, 1
What is n in 1/7*n**2 + 0 + 4/7*n**3 - 4/7*n**5 + 0*n - 1/7*n**4 = 0?
-1, -1/4, 0, 1
Let x(m) = m**3 + 8*m**2 - 2*m - 12. Suppose -32 = 6*c - 2*c. Let y be x(c). Factor 1/4*i**y + 1/4*i**3 + 0 - 1/4*i**2 - 1/4*i.
i*(i - 1)*(i + 1)**2/4
Let l(j) = -2*j**2 - 5*j - 2. Let m be 6/21 - 48/21. Let t be l(m). Factor -2/5*d - 2/5*d**3 + t - 4/5*d**2.
-2*d*(d + 1)**2/5
Let i = 1757/15 - 117. Let l(r) be the first derivative of 0*r**4 + 0*r**3 - 1 - 5/18*r**6 + 0*r + 0*r**2 + i*r**5. Suppose l(v) = 0. Calculate v.
0, 2/5
Suppose -9*k**2 + 3*k**3 - 6*k**3 + 6*k**3 + 33*k**2 + 48*k = 0. What is k?
-4, 0
Let r(c) be the first derivative of 3*c**4/32 + c**3/4 - 3*c**2/16 - 3*c/4 + 27. Factor r(p).
3*(p - 1)*(p + 1)*(p + 2)/8
Let k(l) be the third derivative of 0*l**7 + 0*l**3 - 1/10*l**5 - 1/112*l**8 + 0*l**4 + 3/40*l**6 + 0*l + 0 + 7*l**2. Find v such that k(v) = 0.
-2, 0, 1
Let l(s) be the first derivative of -3*s**4/28 + 3*s**2/2 - 18*s/7 + 31. Find h such that l(h) = 0.
-3, 1, 2
Let y(m) = 9*m**2. Let v(j) = 2*j**2. Let g be 2/9 - (-3016)/117. Let s(n) = g*v(n) - 6*y(n). Factor s(r).
-2*r**2
Let h(k) be the second derivative of -k**6/300 - 2*k**2 + k. Let g(j) be the first derivative of h(j). Factor g(w).
-2*w**3/5
Let w(d) = d**2 + 6*d - 4. Let z(t) = 4*t**2 + 18*t - 12. Suppose 4*a = l - 35, -3*a - 5*l - 11 + 2 = 0. Let p(b) = a*w(b) + 3*z(b). Find m such that p(m) = 0.
-2, 1/2
Let d(c) = c**3 + 4*c**2 - 6*c - 4. Let x be d(-4). Suppose 4*y + x = 4*o - 0*y, 17 = 4*o - 3*y. Let -3*i**2 + 5 + 4*i**o - 6 = 0. Calculate i.
-1, 1
Let m(u) = -10*u**2 - 5*u + 40. Let d(q) = 5*q**2 + 3*q - 20. Let p(w) = -5*d(w) - 3*m(w). Factor p(a).
5*(a - 2)*(a + 2)
Let c(b) be the third derivative of b**9/151200 + b**8/50400 + b**5/30 - 5*b**2. Let v(m) be the third derivative of c(m). Factor v(o).
2*o**2*(o + 1)/5
Let t(l) be the first derivative of 3/14*l**2 - 1/14*l**6 + 6/35*l**5 + 0*l**4 - 4 + 0*l - 2/7*l**3. What is j in t(j) = 0?
-1, 0, 1
Let 0*t + 0 + 10/3*t**4 + 26/9*t**3 - 4/9*t**2 = 0. Calculate t.
-1, 0, 2/15
Let v be 1/1 + (45 - -5). Suppose 29 = 4*r - 4*p - v, -2*p + 110 = 4*r. Factor 11*a + 45*a**2 + 12*a**3 + 0*a**2 + r*a - 12.
3*(a + 2)**2*(4*a - 1)
Let y(m) be the second derivative of m**6/120 + m**5/20 + 2*m**3/3 + 2*m. Let g(r) be the second derivative of y(r). Solve g(v) = 0.
-2, 0
Let d(l) be the second derivative of l**5/20 + l**4/4 + l**3/2 - l**2 + 4*l. Let z(c) be the first derivative of d(c). Factor z(i).
3*(i + 1)**2
Find z such that -22/7*z + 4/7 - 8/7*z**4 - 16/7*z**3 + 6/7*z**5 + 36/7*z**2 = 0.
-2, 1/3, 1
Let c(k) = -k + 4. Let p be c(2). Let r = 75 + -73. Let 0 - p*o**4 - 1/2*o**2 + 0*o - r*o**3 = 0. What is o?
-1/2, 0
Let w be -111 + 4/((-4)/3). Let v = -568/5 - w. Solve 0 - 2/5*j**5 + 2/5*j**3 + 0*j + 2/5*j**4 - v*j**2 = 0.
-1, 0, 1
Suppose -16 - 20 = 3*z. Let j be (-2)/6*9/z. Factor -j - 1/2*y - 1/4*y**2.
-(y + 1)**2/4
Let n(i) = i**3 - 6*i**2. Let l be n(6). Let o be (l - 0)/(-3) + 2. Factor -g**3 + g**o + 0*g + g**4 - 2*g**4 + g.
-g*(g - 1)*(g + 1)**2
Let b = 3 - 2. Let q be b + 9/3 - 2. Factor -q + p + 1 - 2*p**2 + 3*p**2 - p**3.
-(p - 1)**2*(p + 1)
Let h(g) = -16*g**4 + 4*g**3 - 2*g**2 - 14*g. Let q(f) = -f**4 - f. Let m(k) = 2*h(k) - 28*q(k). Factor m(s).
-4*s**2*(s - 1)**2
Suppose 4/17*j - 18/17*j**2 - 10/17*j**3 + 0 = 0. Calculate j.
-2, 0, 1/5
Let i = 283 + -280. Let a be 2/(-3) + (-56)/(-66). Suppose -a*u**5 + 0 - 4/11*u + 14/11*u**2 + 10/11*u**4 - 18/11*u**i = 0. Calculate u.
0, 1, 2
Let p = -1984/5 + 397. Find l, given that p*l**3 - 1/5*l - 1/5*l**2 + 1/5 = 0.
-1, 1
Let n = -2 - -5. What is d in 6*d**2 - 6 + n*d + 6 + d = 0?
-2/3, 0
Find m such that 1/6*m - 1/3*m**2 + 0 + 1/6*m**3 = 0.
0, 1
Let b(c) be the third derivative of c**5/390 + c**4/78 - c**3/13 + 4*c**2. Factor b(r).
2*(r - 1)*(r + 3)/13
Let m(l) be the first derivative of 16*l**5/35 - 10*l**4/7 - 31*l**3/21 + 11*l**2/7 - 3*l/7 + 24. Suppose m(t) = 0. What is t?
-1, 1/4, 3
Let t(k) be the second derivative of -k**6/345 - 7*k**5/230 - 17*k**4/138 - 17*k**3/69 - 6*k**2/23 + 2*k - 25. Suppose t(c) = 0. Calculate c.
-3, -2, -1
Let w = -634 - -6980/11. Factor -2/11 - w*g**2 - 2/11*g**3 - 6/11*g.
-2*(g + 1)**3/11
Let b(i) be the third derivative of -i**8/560 + i**7/140 - i**6/120 - i**3/3 - 5*i**2. Let r(l) be the first der