(h) be the first derivative of h**5/15 - 5*h**4/12 + 8*h**3/9 - 2*h**2/3 - 9. Factor f(x).
x*(x - 2)**2*(x - 1)/3
Let f(a) be the third derivative of a**5/60 - a**4/8 - a**3/3 + a**2. Let h be f(4). Suppose -4*m**3 + 2*m**5 + h*m - m + m = 0. What is m?
-1, 0, 1
Let z be 4/(-1) + 16/24*6. Find w such that -1/4*w**3 + 1/4*w**2 + 0*w + z = 0.
0, 1
Let q(w) be the third derivative of w**6/180 + w**5/10 + 3*w**4/4 - 7*w**3/6 - 3*w**2. Let z(b) be the first derivative of q(b). Suppose z(v) = 0. Calculate v.
-3
Factor 6/7*i**2 + 0 + 12/7*i.
6*i*(i + 2)/7
Let z(r) be the first derivative of 5 - 3/4*r - 1/12*r**3 + 1/16*r**4 - 5/8*r**2. Suppose z(w) = 0. Calculate w.
-1, 3
Let p(c) be the second derivative of -c**4/66 - 10*c**3/33 - 25*c**2/11 - 9*c. Factor p(r).
-2*(r + 5)**2/11
Let k = -410 + 1649/4. Factor -3/4*a - k*a**3 - 3/4*a**4 - 9/4*a**2 + 0.
-3*a*(a + 1)**3/4
Let m(g) be the first derivative of -g**4/6 + 4*g**2/3 + 7. Factor m(t).
-2*t*(t - 2)*(t + 2)/3
Suppose 0 - d**2 + 124*d - 7 - 239*d + 123*d = 0. Calculate d.
1, 7
Let w(l) be the first derivative of l**5/10 - l**3/6 + 14. Factor w(a).
a**2*(a - 1)*(a + 1)/2
Factor -3/2 - 11/4*t + 5/4*t**3 + 3*t**2.
(t - 1)*(t + 3)*(5*t + 2)/4
Factor l**3 + 2*l - l + 17*l**2 - 19*l**2.
l*(l - 1)**2
Let k be ((-8)/(-12))/(1 - 2/3). Let j(z) be the second derivative of -1/21*z**3 + 0*z**2 + k*z - 5/42*z**4 - 2/35*z**5 + 0. Factor j(y).
-2*y*(y + 1)*(4*y + 1)/7
Let k(y) = -46*y + 3. Let b be k(0). Factor 4/13 - 2/13*z - 4/13*z**2 + 2/13*z**b.
2*(z - 2)*(z - 1)*(z + 1)/13
Let t(m) be the second derivative of -1/54*m**4 + 1/9*m**3 + 0 - 2/9*m**2 - 3*m. Factor t(p).
-2*(p - 2)*(p - 1)/9
Let x(y) be the second derivative of -y**8/840 - y**7/420 + y**6/180 + y**5/60 - y**3 - y. Let d(i) be the second derivative of x(i). Find u such that d(u) = 0.
-1, 0, 1
Let u(o) be the first derivative of 2*o**7/63 + 4*o**6/45 - o**5/15 - 2*o**4/9 - 6*o + 4. Let s(n) be the first derivative of u(n). Find z, given that s(z) = 0.
-2, -1, 0, 1
Let b be (-7)/28*(-40)/(-6). Let o = b + 23/12. Factor 1/4*n**2 - 1/4*n**3 - 1/4*n**4 + o*n + 0.
-n*(n - 1)*(n + 1)**2/4
Let g(s) = 3*s**3 - 2*s**2 + s. Let q be g(1). Solve -1/4 + l**q + 3/4*l = 0.
-1, 1/4
Let d = -6 + 7. Factor d - y + 10*y - 3*y**2 - 7.
-3*(y - 2)*(y - 1)
Let b be -3 + 16 + -7 - 32/6. Let u = 1 + -1. What is g in b*g + 4/9 + u*g**2 - 2/9*g**3 = 0?
-1, 2
Let o(x) be the first derivative of x**4 - 9 - 8*x**2 + 4/3*x**3 - 16*x. Determine y, given that o(y) = 0.
-2, -1, 2
Let f be ((-1)/(-4))/(1/8). Factor -1/4*x**f + 1/2 + 1/4*x.
-(x - 2)*(x + 1)/4
Let b(r) be the first derivative of 0*r**2 - 1/300*r**5 + r**3 + 0*r**6 + 1/2100*r**7 + 0*r**4 - 4 + 0*r. Let l(c) be the third derivative of b(c). Factor l(i).
2*i*(i - 1)*(i + 1)/5
Let s(p) be the first derivative of 5*p**4/4 - 35*p**3/3 + 40*p**2 - 60*p + 21. Factor s(n).
5*(n - 3)*(n - 2)**2
Let v = 584/3965 + 2/305. Factor -6/13*b - v*b**2 - 4/13.
-2*(b + 1)*(b + 2)/13
Let s(g) be the third derivative of -g**8/840 - 2*g**7/525 + g**5/75 + g**4/60 - 4*g**2. Factor s(q).
-2*q*(q - 1)*(q + 1)**3/5
Let b(o) be the second derivative of o**5/240 + o**4/32 + o**3/12 + 5*o**2 + 11*o. Let q(r) be the first derivative of b(r). Find f such that q(f) = 0.
-2, -1
Factor 0*u**2 - 1/10*u + 1/10*u**3 + 0.
u*(u - 1)*(u + 1)/10
Let y = -186 - -86. Let a be (-65)/y + (-2)/5. Solve a - 1/4*z - 1/4*z**2 + 1/4*z**3 = 0.
-1, 1
Let x(k) be the second derivative of k**7/1260 + k**6/360 - k**5/30 + k**4/4 + k. Let y(m) be the third derivative of x(m). Factor y(b).
2*(b - 1)*(b + 2)
Let m(y) = 2*y**3 - y - 3*y**3 - 5*y**2 + 4*y**2. Let k(n) = -n**3 + 2*n**2 + 5*n. Let s(z) = -k(z) - 2*m(z). What is p in s(p) = 0?
-1, 0, 1
Let m(n) = 4*n**3 - 13*n**2 + 25*n. Let c(d) = 5*d**3 - 14*d**2 + 25*d. Let b(u) = 3*c(u) - 4*m(u). Factor b(k).
-k*(k - 5)**2
Suppose 8/3*y - 4/3*y**3 + 4/3*y**2 + 0 = 0. Calculate y.
-1, 0, 2
Find m, given that -2*m**4 - 235*m**3 + 3*m**4 + 237*m**3 = 0.
-2, 0
Let a = 6 + -4. Determine b so that -b**a - 4 + 4 + 2 - b**3 + b - 1 = 0.
-1, 1
Let v(f) = -8*f + 4. Suppose 3*j - 3*g = 2*g - 27, -5*j = g + 17. Let t(o) = o**2 + 15*o - 7. Let c(k) = j*t(k) - 7*v(k). Factor c(x).
-4*x*(x + 1)
Let t = 1951/7260 - 1/484. Find w such that 2/15*w**5 - 8/15*w**2 + 4/15 - 4/15*w**3 + 2/15*w + t*w**4 = 0.
-2, -1, 1
Let -1/8*x**2 - 1/2 - 5/8*x = 0. Calculate x.
-4, -1
Let z = 2 + -2. Suppose z = 3*i + i - 8. Factor 4/7*n + 2/7 + 2/7*n**i.
2*(n + 1)**2/7
Let a(v) = -v**4 - v**3 - v**2 - 1. Let y(p) = -5*p**4 - 5*p**3 - 2*p**2 - 2. Let u(d) = 2*a(d) - y(d). Factor u(i).
3*i**3*(i + 1)
Let n(a) be the third derivative of a**5/270 + 5*a**4/27 + 100*a**3/27 + 41*a**2. Factor n(g).
2*(g + 10)**2/9
Let f = 9 + -17. Let t be 3/(-4)*f/9. Determine g, given that 0 + 4/3*g**4 + 0*g**2 - t*g**5 + 0*g - 2/3*g**3 = 0.
0, 1
Let o be (2/(-7))/(5/(-140)*4). Factor -6*s + 9*s**o - 6*s**3 + 3/2 + 3/2*s**4.
3*(s - 1)**4/2
Let f = 728 + -2911/4. Factor -3/4*o**2 + 1/4*o**3 - f + 3/4*o.
(o - 1)**3/4
Factor -2/9*m**5 + 20/9*m**2 + 8/9*m - 2/9*m**3 - 8/9*m**4 - 16/9.
-2*(m - 1)**2*(m + 2)**3/9
Let b(g) = 2*g**2 - 2*g + 5. Let p(u) = -7*u**2 + 8*u - 21. Let s(c) = -22*b(c) - 6*p(c). Let s(v) = 0. What is v?
-4, 2
Let b(q) be the third derivative of q**8/2184 + 4*q**7/1365 + q**6/130 + 2*q**5/195 + q**4/156 + 6*q**2. Suppose b(n) = 0. What is n?
-1, 0
Let t(k) be the first derivative of 1/7*k**3 + 3/28*k**4 + 1/14*k**2 + 1/35*k**5 - 1 + 0*k. What is l in t(l) = 0?
-1, 0
Let n(o) be the second derivative of o**7/189 - o**6/27 + o**5/9 - 5*o**4/27 + 5*o**3/27 - o**2/9 + 6*o. Factor n(i).
2*(i - 1)**5/9
Let b(r) = -7*r**5 - 14*r**3 - 12*r**2 + 9*r + 6. Let w(o) = -8*o**5 - o**4 - 15*o**3 - 13*o**2 + 9*o + 7. Let m(z) = 7*b(z) - 6*w(z). Factor m(f).
-f*(f - 3)**2*(f - 1)*(f + 1)
Suppose 21 = 4*u + h, -5*h + 4 - 19 = 0. Let c be (u/21)/(1/4). Factor 2/7*y + 12/7*y**3 + 0 - 8/7*y**2 + 2/7*y**5 - c*y**4.
2*y*(y - 1)**4/7
Let z(x) be the first derivative of 1/9*x**4 - 2/9*x**2 - 2/9*x - 4 + 0*x**3 + 2/45*x**5. Factor z(p).
2*(p - 1)*(p + 1)**3/9
Let w(j) be the second derivative of 2*j**7/21 - 8*j**6/15 + 4*j**5/5 + 2*j**4/3 - 10*j**3/3 + 4*j**2 + 27*j. Let w(q) = 0. Calculate q.
-1, 1, 2
Let l(u) = -u**3 + 5*u**2 - 4*u - 1. Let r be l(3). Suppose r*d = 2*x - 7*x, -3*d - 3 = 2*x. Factor 2 - 2*w**3 - 3*w**3 + 2*w**4 - 8*w + 12*w**2 - x*w**3.
2*(w - 1)**4
Let i(p) be the first derivative of p**9/5292 - p**7/1470 + 4*p**3/3 + 2. Let d(l) be the third derivative of i(l). Suppose d(g) = 0. What is g?
-1, 0, 1
Let b(v) be the third derivative of -v**5/270 + v**4/18 - v**3/3 - 6*v**2. Determine i, given that b(i) = 0.
3
Let k(i) be the third derivative of i**7/840 + i**6/120 + i**5/60 + 2*i**2. Find a, given that k(a) = 0.
-2, 0
Let z(t) be the third derivative of t**5/20 - t**3/2 + 5*t**2. Find l such that z(l) = 0.
-1, 1
Factor 2/23*s**2 - 6/23*s + 4/23.
2*(s - 2)*(s - 1)/23
Factor 4*p**4 - 2*p**3 + 8*p**3 - p**3 + 4*p**2 + 3*p**3.
4*p**2*(p + 1)**2
Let i = 99 - 94. Find n, given that 0*n + 0 + 3/4*n**4 - 3/4*n**3 + 1/4*n**2 - 1/4*n**i = 0.
0, 1
Let p(w) be the third derivative of 125*w**8/84 + 10*w**7/21 - 19*w**6/3 + 6*w**5/5 + 27*w**4/2 - 18*w**3 + 16*w**2. Let p(u) = 0. Calculate u.
-1, 3/5
Let a(m) be the first derivative of -m**4/2 + 2*m**3 - 2*m**2 + 9. Factor a(b).
-2*b*(b - 2)*(b - 1)
Let v(a) be the third derivative of a**5/15 + 5*a**4/3 + 50*a**3/3 + 25*a**2. Find b such that v(b) = 0.
-5
Suppose 10 + 15 = 5*p. Let s(r) = r**3 + r**2 - r + 1. Let h(y) = 3*y**3 + 7*y**2 - 5*y + 5. Let x(g) = p*s(g) - h(g). Factor x(b).
2*b**2*(b - 1)
Let r(b) be the second derivative of -b**5/90 - b**4/18 - b**3/9 - 3*b**2/2 + b. Let s(q) be the first derivative of r(q). Factor s(u).
-2*(u + 1)**2/3
Let f = 54 - 51. Let x(j) be the first derivative of -1/7*j**4 + 0*j**2 - 2/35*j**5 - 2/21*j**f + 3 + 0*j. Solve x(z) = 0.
-1, 0
Let i(l) be the second derivative of -14*l**6/15 - l**5/5 - 13*l. Let i(x) = 0. What is x?
-1/7, 0
Let s(u) be the first derivative of 2*u**3/15 - 3*u**2/5 - 8*u/5 + 1. Determine j so that s(j) = 0.
-1, 4
Let y(t) = -t**3 - 10*t**2 - t - 5. Let o be y(-10). Find f, given that -o*f**5 + 28*f**4 + 3*f**2 - 19*f**4 + 2*f**5 - 9*f**3 = 0.
0, 1
Suppose 0 = -2*h + 3*h. Le