*f**3.
4*f*(f + 1)**3
Let j(y) = 21*y + 23. Let f be j(-1). What is r in 0 - 1/6*r**f + 1/6*r = 0?
0, 1
Let o = 10 - 9. Let x(m) be the first derivative of -m**2 + 4/3*m**3 - 2/5*m**5 - 1/3*m**6 + m**4 - 2*m + o. Solve x(d) = 0 for d.
-1, 1
Let p(k) = -k**4 + k + 1. Let o be (8/10)/(2/15). Let h(j) = 2*j**4 + j**2 - 3*j - 3. Let m(n) = o*p(n) + 2*h(n). Factor m(y).
-2*y**2*(y - 1)*(y + 1)
Let s(t) be the second derivative of -t**4/60 + t**2/10 - 11*t. Suppose s(r) = 0. What is r?
-1, 1
Factor -6/13*o - 8/13 + 2/13*o**2.
2*(o - 4)*(o + 1)/13
Let h(k) be the second derivative of -121*k**4/48 + 11*k**3/4 - 9*k**2/8 - 37*k. Factor h(p).
-(11*p - 3)**2/4
Let h be 12/5 + 3 + -5. Suppose 4/5 + h*d**2 - 6/5*d = 0. What is d?
1, 2
Let m(o) = -13*o**3 + 2*o**4 + 5*o**2 - 3*o - 6*o**4 - 4 + 10*o**3. Let r(n) = -4*n**4 - 2*n**3 + 6*n**2 - 2*n - 4. Let d(t) = 2*m(t) - 3*r(t). Factor d(v).
4*(v - 1)**2*(v + 1)**2
Factor -3/5*r**2 + 1/5*r**3 + 2/5*r + 0.
r*(r - 2)*(r - 1)/5
Let m(j) be the second derivative of j**7/735 + j**6/210 - j**4/42 - j**3/21 + 5*j**2/2 + j. Let u(q) be the first derivative of m(q). Solve u(g) = 0.
-1, 1
Let r(j) be the second derivative of -2*j**7/21 - 2*j**6/45 + 2*j**5/15 - 17*j. Let r(b) = 0. What is b?
-1, 0, 2/3
Let y be -1 - 7/(-10)*2. Suppose 5*h + 20 = 4*a, -5*h + 2*a - 10 = -0*a. Find s such that 0*s + 0*s**2 - y*s**4 + h - 2/5*s**5 + 0*s**3 = 0.
-1, 0
Let 18 - 4*b**2 + 3*b**3 + 6*b**2 + b**2 + 9*b**2 - 33*b = 0. What is b?
-6, 1
Let m(q) be the third derivative of -q**8/672 - q**7/420 + q**6/120 + q**5/60 - q**4/48 - q**3/12 + 8*q**2. Let m(z) = 0. Calculate z.
-1, 1
Let r(y) be the third derivative of y**6/120 - 3*y**5/20 + 9*y**4/8 + y**3 - 3*y**2. Let a(t) be the first derivative of r(t). Factor a(m).
3*(m - 3)**2
What is u in u + 74 - 74 - u**2 = 0?
0, 1
Determine f, given that 3/5*f**3 + 0 - 11/5*f**2 + 6/5*f = 0.
0, 2/3, 3
Suppose p + 5 = 6*p. Find r, given that p - 2*r + 3/4*r**2 = 0.
2/3, 2
Let t(g) be the third derivative of 2*g**7/105 - g**6/15 + g**5/15 - 3*g**2. Let t(d) = 0. Calculate d.
0, 1
Let y = -94431/5 + 18950. Let s = y + -63. Factor -2/5*p**3 - s*p**2 + 0 - 2/5*p.
-2*p*(p + 1)**2/5
Let z(n) = 5*n**2 - 2*n + 1. Let i = 2 - 1. Let k be z(i). Let 1 - k*w + 8*w - w**2 + 0*w - 4*w**3 = 0. What is w?
-1, -1/4, 1
Let b(r) be the second derivative of 0 + 1/12*r**4 + 0*r**3 - 2*r**2 - 2*r. Determine j, given that b(j) = 0.
-2, 2
Let m(s) = 9*s**2 + 18*s + 8. Let h(z) = 3*z**2 + 6*z + 3. Let r(a) = -8*h(a) + 3*m(a). Suppose r(y) = 0. What is y?
-2, 0
Determine h, given that -1/6*h**3 + 2/3 - 1/6*h**2 + 2/3*h = 0.
-2, -1, 2
Let m(a) be the third derivative of -a**6/480 - a**5/48 - a**4/12 - a**3/6 + 5*a**2. Let m(y) = 0. Calculate y.
-2, -1
Factor -80/11*i**3 - 4/11*i + 0 + 32/11*i**4 + 34/11*i**2.
2*i*(i - 2)*(4*i - 1)**2/11
Let c(d) be the third derivative of 9*d**5/20 + 7*d**4/8 - d**3 - d**2. Solve c(l) = 0.
-1, 2/9
Let p(h) be the second derivative of -1/210*h**5 + 0*h**3 + 0*h**4 - h**2 - h + 0. Let r(m) be the first derivative of p(m). Factor r(u).
-2*u**2/7
Let o be 2 + (-58)/(-9) - 8. Let -2/9*x**2 - o*x - 2/9 = 0. What is x?
-1
Let s(b) = b**2 + 15*b + 29. Let o be s(-13). Let j(v) be the third derivative of -1/240*v**5 + 0 + 0*v + 1/48*v**4 - o*v**2 + 0*v**3. Factor j(x).
-x*(x - 2)/4
Let w(s) = 3 - 6*s**2 + 5*s + s**2 + 4*s**2. Let j be w(5). Suppose a**2 - 2*a**4 - a**4 - j + 5*a**2 + 0*a**2 = 0. What is a?
-1, 1
Solve 13*x**3 + 15/2*x**4 - 17/2*x**2 - 2 - 10*x = 0 for x.
-2, -2/5, -1/3, 1
Let r be (1/2)/(1/6). Suppose -2 + q**2 + q**2 - 2*q**2 - q - q**4 + q**r + 3*q**2 = 0. Calculate q.
-1, 1, 2
Let i(r) = -4*r**3 - 1. Let q be i(-1). Suppose -c = 0, q*c + 16 = 3*w + w. Factor -2*h**4 - 2*h**3 + h**2 - 2*h**2 + 0*h**w + h**4.
-h**2*(h + 1)**2
Let n(g) be the third derivative of 1/90*g**5 - 1/540*g**6 + 0*g + 0 - 1/2*g**3 + 0*g**4 + g**2. Let u(v) be the first derivative of n(v). Solve u(h) = 0.
0, 2
Let d = 25 - 21. What is u in -9*u**5 - 2*u**3 - 42*u**3 - 19*u**5 + 64*u**d + 4*u**2 + 4*u**2 = 0?
0, 2/7, 1
Let j(a) = a**2 - 1. Let x be j(1). Factor -2*v**3 + v**2 - v**3 + x*v**2.
-v**2*(3*v - 1)
Suppose 8 = 20*g - 16*g. Let 0 + 2/5*f**g + 0*f + 4/5*f**3 + 2/5*f**4 = 0. What is f?
-1, 0
Let j(v) be the second derivative of -1/2*v**4 + 9*v - v**3 - 1/10*v**5 + 0 - v**2. Solve j(p) = 0 for p.
-1
Let r = -28 - -48. Suppose r = -h + 6*h. Determine k so that -1 + 2 - 2*k - 3*k**2 + h*k**2 = 0.
1
Let j(u) be the first derivative of u**4/20 + 2*u**3/15 - u**2/10 - 2*u/5 - 21. Factor j(q).
(q - 1)*(q + 1)*(q + 2)/5
Let z(r) be the first derivative of -r**4/9 - r**3/9 + r**2/3 - r - 3. Let u(v) be the first derivative of z(v). Suppose u(i) = 0. Calculate i.
-1, 1/2
Let a(i) be the first derivative of 27*i**6/2 + 9*i**5 - 8*i**4 + 4*i**3/3 + 7. Suppose a(f) = 0. Calculate f.
-1, 0, 2/9
What is g in 55/2*g - 15 - 10*g**3 - 5/2*g**2 = 0?
-2, 3/4, 1
Let t(w) be the third derivative of 0*w**6 + 0*w + 0*w**3 + 0 - 1/90*w**5 - 4*w**2 + 0*w**4 + 1/315*w**7. Find u, given that t(u) = 0.
-1, 0, 1
Let p(j) be the second derivative of -7*j + 1/9*j**3 - 2/9*j**2 - 1/54*j**4 + 0. Let p(g) = 0. What is g?
1, 2
Let x = -158/3 + 53. Let v(f) be the second derivative of -f**2 + 0 - x*f**3 + 2*f + 1/8*f**4. Solve v(n) = 0 for n.
-2/3, 2
Let b be ((-21)/(-12))/((-3)/60). Let t be (-7)/b + 28/10. Determine x, given that 6/5*x - 3/5*x**4 + 0*x**2 + 3/5 - 6/5*x**t = 0.
-1, 1
Suppose 2*l**3 - 14*l**2 + 5*l**2 + 9*l**2 = 0. What is l?
0
Let m(x) = -x**3 - 6*x**2 + 9*x + 16. Let v be m(-7). Factor 3/2*w**v + 3/2 - 3*w.
3*(w - 1)**2/2
Let a(t) = -t**2 - 5*t - 3. Let p be a(-4). Let d(m) = 14*m**4 - 4*m**2 - 12*m + 2. Let k(v) = v**4 - v. Let i(s) = p*d(s) - 12*k(s). Factor i(q).
2*(q - 1)**2*(q + 1)**2
Let d(s) be the second derivative of 5*s**7/126 + 7*s**6/90 - 13*s**5/60 - 31*s**4/36 - 10*s**3/9 - 2*s**2/3 - 5*s. Find t such that d(t) = 0.
-1, -2/5, 2
Suppose 4*l - 20 = -4*m, 5*m + 0*m - 25 = 3*l. Solve -1/3*p**3 + 0 + 0*p + l*p**2 = 0 for p.
0
Suppose 5*h - 5*v = -230, 4*v = -5*h - 192 - 2. Let b be 11/(-5) + h/(-14). Factor b*o**2 + 2/5 + o + 1/5*o**3.
(o + 1)**2*(o + 2)/5
Let y(m) be the second derivative of m**6/1260 - m**5/210 + m**4/84 - m**3/2 - 4*m. Let g(f) be the second derivative of y(f). Solve g(j) = 0 for j.
1
Let x(i) be the third derivative of 1/20*i**6 + 1/336*i**8 + 0*i + 1/15*i**5 + 1/24*i**4 + 0*i**3 + 0 + 2/105*i**7 - 3*i**2. Factor x(w).
w*(w + 1)**4
Suppose 0 = -2*p + q + 2*q + 14, 28 = 5*p - 4*q. Suppose -p*w = w + 5*b - 5, -4*b - 4 = 0. Factor -4/5 - 22/5*z - 34/5*z**3 - 2*z**4 - 42/5*z**w.
-2*(z + 1)**3*(5*z + 2)/5
Let v(t) = -8*t**3 + 5*t**2 + 3*t + 2. Let y(k) = -9*k**3 + 6*k**2 + 3*k + 3. Let q(z) = 3*v(z) - 2*y(z). Solve q(m) = 0 for m.
-1/2, 0, 1
Let k(b) be the second derivative of b**8/6720 + b**7/1260 - b**4/3 + 9*b. Let d(x) be the third derivative of k(x). Determine g, given that d(g) = 0.
-2, 0
Let u(q) be the second derivative of -q**4/54 - q**3/27 + 27*q. Factor u(d).
-2*d*(d + 1)/9
Suppose -2*c - c - 2*b - 1 = 0, 0 = -4*c + 3*b + 27. Factor 6/5*i**c + 8/5*i + 16/5*i**2 + 0.
2*i*(i + 2)*(3*i + 2)/5
Let x(f) be the third derivative of -f**7/2520 + f**5/120 - f**4/36 - f**3/6 + 3*f**2. Let a(p) be the first derivative of x(p). What is t in a(t) = 0?
-2, 1
Let s(n) be the second derivative of -n**6/720 - n**5/240 + n**3/6 - n. Let c(j) be the second derivative of s(j). Find o such that c(o) = 0.
-1, 0
Suppose z = 4*f - 8*f + 14, 2*f = 3*z. Find v, given that 10 + 39*v - 6*v**z - 4 + 45*v**2 - 84*v**3 = 0.
-2/7, -1/4, 1
Let s(l) be the second derivative of l**6/420 - l**5/70 + l**4/28 - l**3/21 - 5*l**2/2 + 4*l. Let p(t) be the first derivative of s(t). Solve p(y) = 0 for y.
1
Let s = 15 - 12. Factor -m - m**s - 2*m**2 + 5*m**2 + 2*m**2 - 3*m**2.
-m*(m - 1)**2
Factor 56/5*i + 8/5 + 98/5*i**2.
2*(7*i + 2)**2/5
Let v = 9 - 18. Let j = v - -11. Factor 8 - 8 - s + 2*s**j - 3*s.
2*s*(s - 2)
Let k(y) be the third derivative of -7/40*y**6 + 0 - 2/35*y**7 + 2*y**2 + 1/10*y**5 + 0*y**4 + 0*y + 0*y**3. Determine i, given that k(i) = 0.
-2, 0, 1/4
Factor -12*m**3 - 132*m + 121/2 + 1/2*m**4 + 83*m**2.
(m - 11)**2*(m - 1)**2/2
Let k(u) be the second derivative of 1/15*u**6 + 1/5*u**5 - 2/3*u**3 + 3*u + 0*