rivative of h(t). Let o(m) = 0. What is m?
-1, 0
Suppose -5*g + 13 - 3 = 0. Let t(x) be the second derivative of -1/6*x**4 + 0 + 0*x**g + x + 1/3*x**3. Suppose t(p) = 0. What is p?
0, 1
Factor 8/7 + 1/7*h**3 + 6/7*h**2 + 12/7*h.
(h + 2)**3/7
Let y(s) = -2*s**2 + 6*s + 4. Let j(v) = 3*v**2 - 7*v - 5. Let f(r) = -4*j(r) - 5*y(r). Find b such that f(b) = 0.
-1, 0
Let o = -15 - -17. Let a(c) be the second derivative of 1/40*c**5 + 1/24*c**4 - 1/60*c**6 + 0*c**3 + 0*c**o - 1/84*c**7 + 0 - c. Find d, given that a(d) = 0.
-1, 0, 1
Let o(y) = -y**3 - y. Let m(g) = g**3 - 3*g + 2. Let f(d) = m(d) - o(d). Let s(v) = -1. Let w(b) = -f(b) - 2*s(b). Determine p so that w(p) = 0.
-1, 0, 1
Let p(m) be the first derivative of 4/105*m**6 + 1/42*m**4 + 0*m**2 + 3*m + 1/14*m**5 - 1 + 0*m**3. Let r(d) be the first derivative of p(d). Factor r(n).
2*n**2*(n + 1)*(4*n + 1)/7
What is l in -20*l**5 - 4*l**2 - l - 38*l**4 - 14*l**4 + 9*l + 8*l**2 - 36*l**3 = 0?
-1, 0, 2/5
Find x such that 17/4*x + 1/8*x**2 + 289/8 = 0.
-17
What is y in -18*y**3 + 2*y**4 + 22*y**4 + 92*y**2 - 4*y - 116*y**2 + 2*y**3 + 20*y**5 = 0?
-1, -1/5, 0, 1
Let z(q) = 3*q + 10. Let y be z(-3). Let v = 6/5 - y. Find o such that 9/5 + v*o**2 - 6/5*o = 0.
3
Let -4/7 + 0*x - 1/7*x**3 + 3/7*x**2 = 0. Calculate x.
-1, 2
Suppose -g - 9 + 13 = 0. Let k(d) be the second derivative of 1/6*d**g + 0*d**3 + 0 - 1/10*d**5 + 0*d**2 + 3*d. Factor k(x).
-2*x**2*(x - 1)
Let q(y) = y**3 - y**2 - y. Let h(n) be the second derivative of -3*n**5/5 + 2*n**3/3 - 3*n. Let u(f) = h(f) + 8*q(f). Determine j so that u(j) = 0.
-1, 0
Let f(o) be the first derivative of -3*o**5/5 + 3*o**3 + 3*o**2 - 15. Solve f(q) = 0.
-1, 0, 2
Let x(g) be the third derivative of 2*g**2 + 0*g**3 - 7/600*g**6 + 3/100*g**5 + 0 - 1/60*g**4 + 0*g. Determine z so that x(z) = 0.
0, 2/7, 1
Let u(p) be the second derivative of 0*p**2 + 3*p + 0*p**4 + 1/10*p**5 + 0 - 1/3*p**3. Solve u(d) = 0 for d.
-1, 0, 1
Let r(j) be the second derivative of -j**5/150 + j**4/60 + 2*j**3/15 - 3*j**2/2 + 3*j. Let g(w) be the first derivative of r(w). Find k, given that g(k) = 0.
-1, 2
Let d = 147 - 147. Solve -1/2*o**3 + d + 1/3*o**2 - 1/3*o**4 + 1/2*o**5 + 0*o = 0 for o.
-1, 0, 2/3, 1
Let i(h) = -h**2 + 3. Let g be i(3). Let a = 8 + g. Find p, given that 0*p**a - p**4 + 3*p**3 + p - 4 + 4 - 3*p**2 = 0.
0, 1
Suppose 9*x = -29*x. Factor -12/5*d**2 + 3/5*d**4 + 0 + x*d + 0*d**3.
3*d**2*(d - 2)*(d + 2)/5
Let j = 41 + -40. Let g(z) be the first derivative of -1/5*z**5 + 0*z**2 + 0*z + 0*z**3 + j - 1/8*z**4 - 1/12*z**6. Factor g(l).
-l**3*(l + 1)**2/2
Suppose 0 = -b - 2*b - 2*n + 45, -n = -3*b + 45. Let l be (4/b)/(6/15). Solve 0 + 0*k**3 - 1/3*k**5 + 2/3*k**4 - l*k**2 + 1/3*k = 0 for k.
-1, 0, 1
Factor 0 + 1/11*z + 1/11*z**4 - 1/11*z**2 - 1/11*z**3.
z*(z - 1)**2*(z + 1)/11
Suppose -o = -5*o + 8. Let i be (-14)/(-35) + o/(-5). Factor i*l + 0*l**2 + 0 + 3/2*l**3.
3*l**3/2
Solve -48/7*v - 3/7*v**5 - 75/7*v**2 - 57/7*v**3 - 12/7 - 3*v**4 = 0.
-2, -1
Let g(n) be the third derivative of n**8/168 - 2*n**7/63 + 7*n**6/135 - 4*n**5/135 - n**2. Find q such that g(q) = 0.
0, 2/3, 2
Let i(l) be the third derivative of l**9/2160 + 3*l**8/2240 + l**7/1260 + 7*l**4/24 + 6*l**2. Let b(f) be the second derivative of i(f). Solve b(g) = 0 for g.
-1, -2/7, 0
Factor 11*t - 2338 + 2338 + 21*t + 4*t**2.
4*t*(t + 8)
Let l(u) be the second derivative of 7*u**6/30 + 4*u**5/5 - 2*u**4 - 32*u**3/3 - 8*u**2 + 20*u. Suppose l(f) = 0. What is f?
-2, -2/7, 2
Let c(p) = -48*p**4 - 48*p**3 - 27*p**2. Let o(m) = 7*m**4 + 7*m**3 + 4*m**2. Let f be (27 + 1)/(-4) - -3. Let a(w) = f*c(w) - 27*o(w). Factor a(v).
3*v**3*(v + 1)
Suppose 4*h + 2 = -d + 16, -3*h + d + 14 = 0. Find m, given that -2*m - 2*m**h + 10*m**3 - 4*m**4 - 2*m**2 + 2*m**2 - 2*m**2 = 0.
-1/3, 0, 1
Suppose 2*d + 3*g = 20 - 31, 2*g + 10 = 0. Factor -1/4*h**3 - 3*h + d + 3/2*h**2.
-(h - 2)**3/4
Let x(t) be the first derivative of 2*t**5/15 - 2*t**3/9 + 7. Factor x(m).
2*m**2*(m - 1)*(m + 1)/3
Let p(y) be the first derivative of -5*y**3/4 - 5*y**2/8 - 1. Let p(n) = 0. What is n?
-1/3, 0
Factor 0*d**2 + 0 + 2/5*d**3 + 1/5*d**4 - 1/5*d**5 + 0*d.
-d**3*(d - 2)*(d + 1)/5
Let l(y) be the first derivative of 3*y**3 - 24*y**2 - 36*y + 14. Factor l(f).
3*(f - 6)*(3*f + 2)
Suppose -12*y + 22 = -y. Suppose -2/7*l - 2/7*l**y + 0 = 0. Calculate l.
-1, 0
Let o = 2 - -2. Suppose 3*t + 5*f + 6 = 0, -t + o*f + 9 = 2*f. Determine b so that -1/5*b**4 - 2/5*b**t + 0*b**2 + 1/5 + 2/5*b = 0.
-1, 1
Let s = 15/4 - 7/2. Let j be 3/(-12)*3 + 1. Find p such that 0 + j*p**2 - s*p = 0.
0, 1
Suppose i - 44 = -i + 4*c, -3*i + 33 = 5*c. Suppose -d = -4*d - x + 11, -i = -5*d - 4*x. Suppose 0 + 2/11*o + 2/11*o**d + 6/11*o**3 + 6/11*o**2 = 0. What is o?
-1, 0
Let z(j) be the first derivative of -2*j**3/15 - 2*j**2/5 - 2*j/5 + 17. Suppose z(g) = 0. Calculate g.
-1
Find v, given that 1/5*v**2 + 0 + 0*v = 0.
0
Suppose 4*c + 3*d - 5 = 0, 1 = 5*c + 5*d - 4. Let k = 1/9 + 13/45. Factor 4/5*i + k*i**c + 0.
2*i*(i + 2)/5
Factor d - 3/2*d**2 + 1/2*d**4 + 0 + 0*d**3.
d*(d - 1)**2*(d + 2)/2
Let r(b) be the second derivative of b**7/84 + b**6/30 - b**5/40 - b**4/12 - 17*b. Find u, given that r(u) = 0.
-2, -1, 0, 1
Let u(y) = y**2 + 2*y + 1. Let h be u(-3). Solve -2 - 4*w**h + 3*w**2 + w + w**4 + 2*w**4 - w**3 = 0 for w.
-2, -1, 1
Let h = -59 + 179/3. Factor 4/3*d**3 + 0*d + 0 - h*d**4 - 1/3*d**5 + 8/3*d**2.
-d**2*(d - 2)*(d + 2)**2/3
Suppose 3*o + 2*o = 20. Find j, given that -3*j**o + 4*j - 3*j**3 - 7*j - 6*j**3 - 9*j**2 = 0.
-1, 0
Let v be (-21)/28 + 11/(-2). Let j = 13/2 + v. Factor -1/2*o**2 - 1/4*o + j + 1/4*o**4 + 1/2*o**3 - 1/4*o**5.
-(o - 1)**3*(o + 1)**2/4
Let p be (-45)/(-20) + (-3 - (-30)/8). Let k(l) be the second derivative of 1/50*l**5 + 0*l**2 + 0*l**p + 3*l + 0 - 1/30*l**4. Let k(h) = 0. Calculate h.
0, 1
Let d(u) be the first derivative of -4*u**3/3 + 6. Solve d(z) = 0.
0
Let o be 0 + (-151)/3*1. Let b = o - -51. Factor b*d**2 + 0 - 2/3*d**4 + 2/3*d - 2/3*d**3.
-2*d*(d - 1)*(d + 1)**2/3
Let b(c) be the first derivative of -c**4/24 + c**3/12 + c**2/2 + 4*c + 5. Let r(l) be the first derivative of b(l). Solve r(n) = 0.
-1, 2
Let q(b) be the first derivative of b**7/210 + b**6/60 - b**4/12 - b**3/6 - b**2/2 - 3. Let m(z) be the second derivative of q(z). Find g, given that m(g) = 0.
-1, 1
Find i, given that -4/19*i**2 + 0*i + 0 + 6/19*i**3 + 0*i**4 - 2/19*i**5 = 0.
-2, 0, 1
Let j(f) = -57*f**3 + 228*f**2 - 258*f + 24. Let i(r) = -114*r**3 + 455*r**2 - 517*r + 48. Let m(u) = 6*i(u) - 13*j(u). Factor m(p).
3*(p - 2)**2*(19*p - 2)
Suppose 3*s - 7*s + 26 = 2*r, -7 = -4*r + s. Factor 0 + 2/13*b**r - 4/13*b - 2/13*b**2.
2*b*(b - 2)*(b + 1)/13
Suppose -2*d + 17 = 3*v + 2*d, -2*v - 5*d + 23 = 0. Let s be (-12)/(3/v) - 2. What is w in 0*w - 1/2*w**s + 0 = 0?
0
Suppose -6 = -l - 2*l. Let i = 6 - l. Determine o so that -5 + 2*o**2 + 4 + i*o + 3 = 0.
-1
Let b(x) be the first derivative of 10/9*x**6 - 1/3*x**2 - 5/4*x**4 - 8/15*x**5 - 4 + 11/9*x**3 + 0*x. Determine r so that b(r) = 0.
-1, 0, 2/5, 1/2
Let y(d) be the second derivative of -d + 0 + 1/6*d**4 + 4*d**2 - 3/10*d**5 + 8/3*d**3. Factor y(m).
-2*(m - 2)*(m + 1)*(3*m + 2)
Let x(d) be the first derivative of -d**6/360 - d**5/120 + d**4/12 + 7*d**3/3 - 1. Let l(m) be the third derivative of x(m). Factor l(k).
-(k - 1)*(k + 2)
Let p(a) = -36*a**4 - 120*a**3 - 188*a**2 - 148*a + 22. Let f(q) = -5*q**4 - 17*q**3 - 27*q**2 - 21*q + 3. Let s(t) = 44*f(t) - 6*p(t). Factor s(y).
-4*y*(y + 1)*(y + 3)**2
Let i(x) be the third derivative of -x**8/84 - 2*x**7/35 + x**6/30 + x**5/5 + 21*x**2. Solve i(r) = 0 for r.
-3, -1, 0, 1
Let a = -35101/3 - -11569. Let u = -130 - a. Factor 2/3*t**2 - 2*t**3 + 0 + u*t.
-2*t*(t - 1)*(3*t + 2)/3
Let n be (-7)/(-3) + 4/6. Solve -a**2 + 3*a**3 - 2*a**3 - 2*a**n - a**2 = 0.
-2, 0
Let h(u) be the first derivative of -3/11*u**2 - 1 + 4/11*u + 2/33*u**3. Factor h(q).
2*(q - 2)*(q - 1)/11
Let p be 2/9 + (-1 - (-68)/18). Solve 2/3*u**2 + 2/9*u**4 + 0 - 2/9*u - 2/3*u**p = 0 for u.
0, 1
Suppose -16 = 4*l, 5*l + 20 = 3*t + 3*l. Determine b, given that 1/3 + 1/3*b**5 - b**t + 2/3*b**3 + 2/3*b**2 - b = 0.
-1, 1
Let s(r) be the second derivative of -r**5/230 + r**4/69 + r**3/69 - 2*r**2/23 + r. Suppose s(i) = 0. Calculate i.