*h + 4)**3
Let w(i) = -2. Let a(p) = -2*p - p + 2*p - p**2 - 7. Let q = 21 + -19. Let l(k) = q*a(k) - 9*w(k). Factor l(x).
-2*(x - 1)*(x + 2)
Let w(k) be the first derivative of 2*k - 4 - 1/4*k**4 + 5/2*k**2 - 1/5*k**5 + k**3. Let w(a) = 0. Calculate a.
-1, 2
Let a(h) be the first derivative of 12*h**5 + 95*h**4/4 - 45*h**2/2 - 10*h + 12. Let a(q) = 0. What is q?
-1, -1/4, 2/3
Factor -1/2 - 25/2*b**2 - 5*b.
-(5*b + 1)**2/2
Let j = 82 - 82. Let b(x) be the third derivative of 1/150*x**5 + 1/60*x**4 + j + 0*x**3 - 3*x**2 + 0*x. Suppose b(w) = 0. What is w?
-1, 0
Suppose 18 = -7*o + 32. Let 0 - 2/3*r + 2/9*r**o = 0. What is r?
0, 3
Let o = -129/154 + 10/11. Let h(d) be the second derivative of 0*d**3 + 0 + o*d**7 + d**4 + 0*d**2 - 4*d + 6/5*d**5 + 1/2*d**6. Factor h(y).
3*y**2*(y + 1)*(y + 2)**2
Find k such that -22/5*k**2 - 8/5 + 6/5*k**3 + 24/5*k = 0.
2/3, 1, 2
Let m = -6673/6 + 44207/30. Let d = m - 360. Let -5*q**2 + 19/5*q**3 - 4/5 + 16/5*q + 1/5*q**5 - d*q**4 = 0. Calculate q.
1, 2
Solve 4/5 - 1/5*s**3 + 0*s - 3/5*s**2 = 0 for s.
-2, 1
Let g(v) be the first derivative of 0*v**2 + 2/9*v**3 + 0*v**4 - 2/15*v**5 + 0*v + 3. Let g(k) = 0. Calculate k.
-1, 0, 1
Let u(f) be the first derivative of 1 - 1/10*f**2 + 1/20*f**4 - 1/5*f + 1/15*f**3. Factor u(g).
(g - 1)*(g + 1)**2/5
Factor 0 - 2/9*i - 2/9*i**2.
-2*i*(i + 1)/9
Suppose -y + 9 = -3*w, -6*y - 5*w + 2 = -2*y. Let h(k) be the second derivative of 3*k - 2/15*k**y + 1/5*k**2 + 1/30*k**4 + 0. Find m such that h(m) = 0.
1
Let v be 4/(-14) + 258/21. Let a(y) = -3 + 1 + 6 - 3. Let m(p) = -10*p**2 - 4*p - 12. Let b(k) = v*a(k) + m(k). What is h in b(h) = 0?
-2/5, 0
Let h be (-3)/108*(-3)/1. Let j(d) be the second derivative of -1/30*d**6 + h*d**4 - 1/6*d**3 + d + 0*d**2 + 1/20*d**5 + 0. Factor j(z).
-z*(z - 1)**2*(z + 1)
Let c(v) be the third derivative of -v**6/360 + v**5/45 - v**4/24 - 3*v**2. Determine p, given that c(p) = 0.
0, 1, 3
Let g(f) be the first derivative of -f**6/6 + f**5/5 + 4. Let g(d) = 0. Calculate d.
0, 1
Let d be 1 + (11 - 6) + -2. Factor 196/3*m**d + 32/3*m + 280*m**3 - 1372/3*m**5 + 0 + 304/3*m**2.
-4*m*(m - 1)*(7*m + 2)**3/3
Let l(o) = 1 + 0 - 5*o**3 + 2*o**2 + 6*o**3 + o**3 - 2*o. Let r be l(1). Factor -f**r - 9*f**4 + 2*f**5 - 2*f**2 + 3*f**4 + 7*f**3.
2*f**2*(f - 1)**3
Let l(q) = -5 - q**2 + 3*q**2 + 9*q - 4*q**2. Let h(u) = 1 + 2*u + 3*u**2 - 2*u**2 - 2*u. Let w(i) = -5*h(i) - l(i). Suppose w(r) = 0. What is r?
-3, 0
Let v(d) be the first derivative of d**7/14 - d**6/6 - d**5/20 + 5*d**4/12 - d**3/3 + 4*d + 4. Let l(h) be the first derivative of v(h). Factor l(f).
f*(f - 1)**2*(f + 1)*(3*f - 2)
Let q(x) be the first derivative of 3 + 0*x - 2/3*x**3 + 3*x**2. Factor q(a).
-2*a*(a - 3)
Let y(p) be the first derivative of -1/9*p**3 + 0*p + 2 - 1/3*p**2. Find h, given that y(h) = 0.
-2, 0
Let s = 39/8 - 27/8. Suppose -s*z - 1/4 - 3*z**2 - 5/2*z**3 - 3/4*z**4 = 0. What is z?
-1, -1/3
Let f = 20/17 + -343/306. Let u(b) be the first derivative of 0*b**5 + 0*b - 1/12*b**4 + 2 + 0*b**2 + 0*b**3 + f*b**6. Factor u(k).
k**3*(k - 1)*(k + 1)/3
Let j(z) = -9*z**2 - 7*z - 7. Let x(w) = 5*w**2 + 3*w + 4. Let y(g) = 4*j(g) + 7*x(g). Let k be y(-7). Factor -1/2*a**3 + 0*a**2 + 1/2*a + k.
-a*(a - 1)*(a + 1)/2
Let r(n) be the third derivative of -1/4*n**3 + 0 - 1/140*n**7 - 1/40*n**6 + 1/16*n**4 - 5*n**2 + 0*n + 1/20*n**5 + 1/224*n**8. Suppose r(d) = 0. Calculate d.
-1, 1
Suppose 10 = -2*n + 7*n. Let 5 - n*y - 4 - 11*y**3 + y - 9*y**2 - 4*y**4 = 0. Calculate y.
-1, 1/4
Determine u so that 0 + 16/3*u**5 + 20/3*u**2 - 20/3*u**4 - 4*u**3 - 4/3*u = 0.
-1, 0, 1/4, 1
Factor 0*s - 6/7*s**4 - 12/7*s**2 + 2/7 + 16/7*s**3.
-2*(s - 1)**3*(3*s + 1)/7
Factor 4/3 + t - 1/3*t**2.
-(t - 4)*(t + 1)/3
Let y(n) be the second derivative of n**5/20 - 5*n**4/12 + 4*n**3/3 - 2*n**2 + 25*n. Factor y(r).
(r - 2)**2*(r - 1)
Let r be (-14)/5 + 9 + -6. Let o(w) be the second derivative of 0*w**2 + 0*w**3 + 0*w**4 + 2*w - 1/5*w**6 + 0 - r*w**5. Factor o(d).
-2*d**3*(3*d + 2)
Let z(m) be the third derivative of m**11/831600 - m**10/189000 + m**9/151200 - m**5/20 - 3*m**2. Let p(w) be the third derivative of z(w). Factor p(i).
2*i**3*(i - 1)**2/5
Let w(n) be the third derivative of -n**9/22680 + n**7/1260 - n**6/540 - n**4/4 - n**2. Let c(j) be the second derivative of w(j). Let c(h) = 0. Calculate h.
-2, 0, 1
Let k(m) be the second derivative of 3*m + 0 + 1/15*m**4 - 1/10*m**2 + 1/10*m**3. Factor k(u).
(u + 1)*(4*u - 1)/5
Let c(p) be the second derivative of 0*p**4 - 2/45*p**6 + 0 + 1/30*p**5 + 7*p + 1/63*p**7 + 0*p**2 + 0*p**3. Determine f so that c(f) = 0.
0, 1
Factor -2/3*a**2 + 0*a + 0 + 4/3*a**3 - 2/3*a**4.
-2*a**2*(a - 1)**2/3
Let k(t) be the third derivative of t**9/60480 + t**8/6720 + t**7/2520 + t**5/30 + 3*t**2. Let j(z) be the third derivative of k(z). Factor j(b).
b*(b + 1)*(b + 2)
Let d(t) = t**4 + t**2. Let a(w) = 2*w**4 + 8*w**3 + 6*w**2. Let z(k) = a(k) - 8*d(k). Factor z(c).
-2*c**2*(c - 1)*(3*c - 1)
Let b be 0 + (-8)/(-6) + 36/54. Solve 4/11*s**3 + 2/11*s**5 + 0*s**b + 6/11*s**4 + 0 + 0*s = 0 for s.
-2, -1, 0
Let l = 32 + -36. Let k be ((-2)/7)/(l/7). Suppose 0*w**2 + 0 - k*w + 1/2*w**3 = 0. What is w?
-1, 0, 1
Let b be (-4)/(-6)*(-12)/(-14). Suppose -b*y**3 + 2/7*y**4 + 0*y**2 + 4/7*y - 2/7 = 0. Calculate y.
-1, 1
Suppose -12*r = 20*r - 9*r. Factor 0*l - 1/5*l**4 + r*l**3 + 2/5*l**2 - 1/5.
-(l - 1)**2*(l + 1)**2/5
Let v be 4/(-12) + (0 - (-2 + 1)). Determine a, given that 2/3*a - 5/3*a**2 + 0 + 5/3*a**4 - v*a**3 = 0.
-1, 0, 2/5, 1
Let o = 53/24 - 15/8. Let b(g) be the second derivative of 0*g**2 - o*g**3 - g + 0 + 1/6*g**4. Factor b(c).
2*c*(c - 1)
What is j in 184*j**2 + j**3 - 376*j**2 + 187*j**2 + 8*j**4 + 1 + 4*j**5 - j = 0?
-1, 1/2
Let o(j) = -2*j**4 - 6*j**3 - 6*j**2 - 2*j. Let n(f) = -5*f**4 - 17*f**3 - 19*f**2 - 7*f. Let r = 17 + -24. Let g(c) = r*o(c) + 2*n(c). Let g(u) = 0. What is u?
-1, 0
Let y(h) be the second derivative of h**5/8 + 15*h**4/8 + 45*h**3/4 + 135*h**2/4 + 4*h. Suppose y(q) = 0. What is q?
-3
Let w(p) be the third derivative of -p**6/40 + p**5/20 + p**4/8 - p**3/2 - p**2. Suppose w(t) = 0. Calculate t.
-1, 1
Suppose 4*d - 5*i + 10 = -0*d, d = 2*i - 4. Factor -9 - 12 - 3 - 3*k**3 + d - 36*k - 18*k**2.
-3*(k + 2)**3
Suppose 5*u - 4 - 6 = 0. Factor 0*s**2 + 2*s**4 + u*s**5 - s**2 - s**2 - 2*s**3.
2*s**2*(s - 1)*(s + 1)**2
Suppose -2*m + 45 = 2*q + 49, 3*q + 5*m = -16. Let y = 436 + -4792/11. Determine j so that 0*j + 2/11*j**q + 0 - y*j**2 = 0.
0, 2
Let b(t) be the second derivative of 0*t**2 - 3/80*t**5 + 0 + 1/168*t**7 - 1/12*t**3 + 5/48*t**4 + 4*t - 1/120*t**6. Factor b(r).
r*(r - 1)**3*(r + 2)/4
Let 0*u + 1/4*u**2 - 1/4 = 0. Calculate u.
-1, 1
Let k(x) be the first derivative of 0*x - 1 + 2/5*x**5 - 2/3*x**3 - 1/2*x**4 + x**2. What is c in k(c) = 0?
-1, 0, 1
Let j be 520/600 + (-1)/5. Solve 0 + 0*v - 7/3*v**3 + j*v**2 = 0 for v.
0, 2/7
Let k(y) = -9*y**2 - 2*y - 8. Let x(u) = -u**2 - 1. Let o(s) = 3*s**2 + 2*s + 3. Let r be o(-3). Let a(v) = r*x(v) - 3*k(v). Factor a(l).
3*l*(l + 2)
Let v(i) be the third derivative of -5*i**8/336 + i**7/21 - i**6/24 - 11*i**2. Factor v(k).
-5*k**3*(k - 1)**2
Let t = 3 - 14/5. Let g = t + 3/10. Suppose -1/2*u**5 - g*u**2 + 0*u + 1/2*u**4 + 0 + 1/2*u**3 = 0. What is u?
-1, 0, 1
Let r be -1*(-5)/((-10)/(-6)). Factor -u - u**3 + 0*u + 2*u - r*u + 3*u**2.
-u*(u - 2)*(u - 1)
Suppose 14*f - 18 = 5*f. Let i(z) be the third derivative of 0 - f*z**2 + 0*z**4 + 0*z**3 + 0*z**5 - 1/120*z**6 - 1/336*z**8 - 1/105*z**7 + 0*z. Factor i(r).
-r**3*(r + 1)**2
Suppose 10 - 10 = -24*d. Factor d*o + 0 + 2/9*o**5 + 4/9*o**2 + 10/9*o**3 + 8/9*o**4.
2*o**2*(o + 1)**2*(o + 2)/9
Let q(o) = -2*o**2 - 52*o + 18. Let g(v) = -v**2 - 21*v + 7. Let l(u) = 12*g(u) - 5*q(u). Factor l(d).
-2*(d - 3)*(d - 1)
Let u(t) be the second derivative of -t**7/84 - t**6/10 - 3*t**5/10 - t**4/3 - 11*t. Factor u(j).
-j**2*(j + 2)**3/2
Let t(p) = 13*p - 9*p**2 - 3*p**3 + 0*p**3 + 1 - 9 - p. Let d(m) = 8*m**3 + 26*m**2 - 35*m + 23. Let g(o) = 4*d(o) + 11*t(o). Solve g(b) = 0.
1, 2
Let r(g) be the third derivative of 1/132*g**4 + 1/660*g**6 + 0*g**3 - g**2 + 0 - 1/165*g**5 + 0*g. What is q in r(q) = 0?
0, 1
Let o = 5 - 3. Factor -2*s**2 - 19 - 13 + 16*s + 2*s**o - 2*s**2.
-2*(s - 4)**2
Le