 + 2*l - 4*l**4.
-l*(l - 1)**2*(4*l + 1)
Let l(w) = -3*w**3 + 8*w**2 - 12*w + 10. Let b(j) = 10*j**2 - 43*j**2 - 41 + 13*j**3 + 37*j + 11*j. Let s(p) = 2*b(p) + 9*l(p). Find h such that s(h) = 0.
2
Let x(n) be the third derivative of n**5/30 - 7*n**4/6 - 105*n**2. Suppose x(q) = 0. What is q?
0, 14
Let w(j) be the first derivative of j**4/4 + 49*j**3/3 - 101*j**2/2 + 51*j + 13. Factor w(b).
(b - 1)**2*(b + 51)
Let a be -7*(693/(-98) - -7). Factor 25/2 - 5*x + a*x**2.
(x - 5)**2/2
Let z(s) be the first derivative of s**6/120 - s**5/15 + s**4/8 + 15*s**2/2 + 14. Let a(x) be the second derivative of z(x). Solve a(n) = 0.
0, 1, 3
Let d(z) be the second derivative of -5*z**7/84 - 3*z**6/10 - 11*z**5/20 - z**4/3 + z**3/4 + z**2/2 + 24*z - 5. Factor d(s).
-(s + 1)**4*(5*s - 2)/2
Let s(w) be the first derivative of 2*w**2 + 0*w - 4/3*w**3 + 8. What is q in s(q) = 0?
0, 1
Suppose 5*h + 6 = -f, -4*f - f + 4*h = -28. Find z such that 0*z**4 + 9*z**4 + 4*z**5 - 2*z**f + 2*z**3 - z**4 = 0.
-1, -1/2, 0
Let j(h) be the first derivative of -h**5/30 + h**3/3 + 2*h**2/3 + 18*h + 4. Let i(s) be the first derivative of j(s). Solve i(v) = 0 for v.
-1, 2
Let h(s) = s**3 - 9*s**2 + 16*s - 11. Let j be h(7). Find f, given that 12 + 160*f**3 + 24*f - 77*f**j + 15*f**2 - 80*f**3 = 0.
-2, -1
Find k, given that -98*k**4 + 154 - 546*k**3 + 1473*k**2 - 389*k**2 + 756*k - 12*k - 42 = 0.
-7, -2/7, 2
Suppose 3*m + t + 10 = 0, -3*t + 6 = 4*m + 16. Let h be m/20 - (-6)/5. Factor h + 6*r**2 - 2*r**3 + 3 + 4*r**3 - 3*r - 2*r**4 - 7*r.
-2*(r - 1)**3*(r + 2)
Let r(f) = 2*f**4 + 2*f**3 - 2*f**2 + 1. Let w(a) = 5*a**4 - 28*a**3 + 7*a**2 + 24*a - 14. Let z(j) = -2*r(j) - w(j). What is x in z(x) = 0?
-1, 2/3, 1, 2
Let y(h) = h**3 - 11*h**2 - 24*h - 21. Let f be y(13). Let x(u) be the third derivative of u**2 - 1/4*u**3 + 0*u - 1/12*u**4 + 0 - 1/120*u**f. Factor x(m).
-(m + 1)*(m + 3)/2
Let x(g) = -g**3 + 6*g**2 + g - 3. Let v(m) = m + 15. Let o be v(-9). Let f be x(o). Factor -f*y**2 + 0*y**2 + 3*y**3 + 9*y**4 + y**2 + 3*y**5 - 6*y - 7*y**2.
3*y*(y - 1)*(y + 1)**2*(y + 2)
Suppose 2*z + z + 16 = 4*q, -5*z = -5*q + 20. Suppose -4*n + 17 = g - z*g, 2*n - 1 = g. Factor 4*b**g + 0*b + 15*b**4 + 0*b - 11*b**4.
4*b**4*(b + 1)
Suppose -92 = -20*p - 3*p. Find z, given that 41*z**3 - 6*z**2 + 2 + 6 + p*z - z**4 - 23*z**3 - 23*z**3 = 0.
-2, 1
Let b = -36 + 37. Let m be (3/(-5))/(38/(-20) + b). Factor 4/9 - m*i + 2/9*i**2.
2*(i - 2)*(i - 1)/9
Let a be (-58)/(-5) + (-680)/68. Factor 8/5 - a*w + 2/5*w**2.
2*(w - 2)**2/5
Let o(v) be the second derivative of -v**5/15 - v**4/2 - 4*v**3/3 + 11*v**2/2 + 7*v. Let w(p) be the first derivative of o(p). Factor w(g).
-4*(g + 1)*(g + 2)
Let i be (-3)/(-21) - 3/(-273). Let i*x**2 - 8/13*x + 6/13 = 0. What is x?
1, 3
Factor -26*f + 236 - 260 + 0*f**3 + 2*f**3.
2*(f - 4)*(f + 1)*(f + 3)
Factor -2/7*f**2 + 38/7*f + 12.
-2*(f - 21)*(f + 2)/7
Let r(j) be the third derivative of 0*j**3 + 0*j + 5*j**2 + 2/105*j**7 + 0*j**4 - 1/10*j**6 + 0 + 2/15*j**5. Factor r(f).
4*f**2*(f - 2)*(f - 1)
Let u(p) be the first derivative of 4/3*p**3 + 10*p**2 + 11 + 0*p. Find f, given that u(f) = 0.
-5, 0
Let z(v) be the first derivative of -1/15*v**6 + 6 + 3*v + 1/3*v**4 + 0*v**5 + 0*v**3 - v**2. Let d(n) be the first derivative of z(n). Factor d(a).
-2*(a - 1)**2*(a + 1)**2
Determine v so that -36*v**3 + 14*v**2 + 43*v + 2*v - 13*v + 35*v**3 = 0.
-2, 0, 16
Let s(a) be the third derivative of 0*a**4 + 0*a + 0 - 1/210*a**5 + 0*a**3 - 4*a**2 - 1/735*a**7 - 1/210*a**6. Find r such that s(r) = 0.
-1, 0
Factor 6/11*a**4 - 24/11*a**2 + 1/11*a**5 + 16/11*a + 0 + 1/11*a**3.
a*(a - 1)**2*(a + 4)**2/11
Let c(a) = -4*a**3 - 16*a**2 - 36*a - 4. Let g(w) = -2*w**3 - 15*w**2 - 37*w - 3. Let j(r) = 3*c(r) - 4*g(r). Factor j(b).
-4*b*(b - 5)*(b + 2)
Let g(v) be the second derivative of 8/15*v**3 + 0*v**2 - 1/30*v**4 - 7*v - 3. Factor g(n).
-2*n*(n - 8)/5
Let n(p) be the second derivative of 0 + 0*p**3 - 1/18*p**6 + 0*p**2 - 5/36*p**4 + 1/6*p**5 - 12*p. Solve n(t) = 0 for t.
0, 1
Let n(w) be the third derivative of w**6/160 + 3*w**5/40 - 61*w**4/32 - 33*w**3/4 + 7*w**2 - 1. Suppose n(a) = 0. Calculate a.
-11, -1, 6
Suppose 14*i + 17*i = 0. Let v(o) be the second derivative of 0*o**3 - 2*o - 1/54*o**4 + 1/9*o**2 + i. Let v(y) = 0. What is y?
-1, 1
Let c(a) be the first derivative of 3*a**4/28 - a**3 + 45*a**2/14 - 27*a/7 - 491. Determine m so that c(m) = 0.
1, 3
Let x(u) = u**2 + 3*u - 11. Let g be x(-5). Let f(v) = 5 + 0 + 1 - 5. Let m(b) = 3*b**2 - 12*b + 6. Let d(h) = g*m(h) - 6*f(h). Solve d(z) = 0 for z.
2
Let i be 3/4 + 1581/68. Factor -12*c + 29*c**3 - 15*c**3 - 14*c**3 + i*c**2 - 9*c**3 + 3*c**5 - 6*c**4.
3*c*(c - 2)*(c - 1)**2*(c + 2)
Factor -40 + 87*p**2 + 6*p**4 - 25*p**3 + 55 - 20*p**3 - 63*p.
3*(p - 5)*(p - 1)**2*(2*p - 1)
Suppose -4*t + 15 = -13. Let m(l) be the third derivative of 0*l**3 - 2/315*l**t - 2/45*l**6 - 1/9*l**5 - 1/9*l**4 + 0 + 8*l**2 + 0*l. Solve m(n) = 0 for n.
-2, -1, 0
Let f(x) be the second derivative of x**7/1260 - x**6/60 - 7*x**5/60 + x**4/12 + 2*x**3/3 + 13*x. Let g(a) be the third derivative of f(a). Factor g(n).
2*(n - 7)*(n + 1)
Find r such that 130/3*r**2 - 202/3*r**3 + 0 + 2*r**4 + 22*r = 0.
-1/3, 0, 1, 33
Determine j so that 0*j - 1/5*j**3 - 1/5*j**2 + 1/5*j**5 + 0 + 1/5*j**4 = 0.
-1, 0, 1
Let p(h) be the third derivative of h**6/220 - 7*h**5/330 + 4*h**3/33 - 160*h**2. Factor p(m).
2*(m - 2)*(m - 1)*(3*m + 2)/11
Let j = 260/19 + -2302/171. What is m in j*m - 4/9 + 2/9*m**2 = 0?
-2, 1
Let t = 49 - 70. Let a be ((-15)/t + -1)/(10/(-20)). Solve -4/7*c**4 + 8/7*c**2 + a*c**3 - 2/7*c**5 - 2/7*c - 4/7 = 0.
-2, -1, 1
Let n = 291101/23764 + 2/5941. Suppose -n*a**3 - 21/4*a**2 + 6*a - 1 = 0. What is a?
-1, 2/7
Let r be (-3)/(-5) - 18/30. Let q(k) be the second derivative of 0*k**3 + 3/2*k**2 - 1/4*k**4 - 9*k + r. Factor q(o).
-3*(o - 1)*(o + 1)
Let n = 21 - 10. Find r, given that r + 2*r**2 - 16*r**5 + n*r**5 + 4*r**5 - 2*r**4 = 0.
-1, 0, 1
Let o(s) be the second derivative of s**6/2160 - s**4/36 - 5*s**3/2 + 14*s. Let f(n) be the second derivative of o(n). Find g, given that f(g) = 0.
-2, 2
Let d(m) be the third derivative of 5*m**8/336 - 7*m**6/24 - m**5/2 + 596*m**2. Factor d(s).
5*s**2*(s - 3)*(s + 1)*(s + 2)
Let i(u) = 3*u**3 - 48*u**2 - 81*u + 144. Let z(k) = 7*k**2 - k. Let p(w) = -i(w) + 3*z(w). Let p(q) = 0. What is q?
-2, 1, 24
Let p(h) be the second derivative of 2/9*h**3 - 1/18*h**4 + 0*h**2 + 0 - 16*h - 1/30*h**5. Factor p(c).
-2*c*(c - 1)*(c + 2)/3
Let v(n) be the second derivative of n**4/16 - 5*n**3/2 + 59*n. Factor v(q).
3*q*(q - 20)/4
Let t(r) be the first derivative of -13*r**2 + 0*r - 44 + 2/3*r**3. Factor t(n).
2*n*(n - 13)
Suppose -z + 6 = 2*z. Suppose 2*y - 4*p = -10, 0 = y - p + 2*p - 7. Find k, given that -8*k**4 - 3*k**5 - 5*k**4 + 4*k + 4*k**z + 4*k - 14*k**y = 0.
-2, -1, 0, 2/3
Let 34/13*n**2 - 4/13 - 30/13*n = 0. Calculate n.
-2/17, 1
Factor -2/21*w**5 + 4/7*w + 10/7*w**3 - 2/7*w**4 - 34/21*w**2 + 0.
-2*w*(w - 1)**3*(w + 6)/21
Let x(p) be the third derivative of -4/21*p**7 + 4/15*p**5 + 0*p + 0 + 2/3*p**4 - 7/30*p**6 + 0*p**3 + p**2 - 1/28*p**8. What is n in x(n) = 0?
-2, -1, 0, 2/3
Let v(r) = -56*r**3 - 152*r**2 - 64*r + 32. Let s(f) = -1 - 3 + 38*f**2 - 3 + 16*f - 1 + 14*f**3. Let i(j) = 18*s(j) + 4*v(j). Factor i(b).
4*(b + 1)*(b + 2)*(7*b - 2)
Let 1/6*j**3 - 169/3 + 39/2*j + 4*j**2 = 0. Calculate j.
-13, 2
Let i(v) = -15*v + 407. Let b be i(27). Find w, given that -8/5*w - 6/5 - 2/5*w**b = 0.
-3, -1
Let q(m) be the first derivative of 3*m**2/2 - 4*m - 4. Let r be q(5). Determine z, given that 14 - 5 - r + 3*z - z**2 = 0.
1, 2
Let z = -13 - -1. Let w be (-4)/20 - (z/(-15))/(-2). Factor -4/5*d + 8/5*d**2 - w*d**3 + 0 - 3/5*d**4.
-d*(d - 1)*(d + 2)*(3*d - 2)/5
Suppose -p - x + 3 + 0 = 0, -3*p + 17 = -5*x. Let i be p/60*(7 - 4). Factor -1/5*n**5 - 1/5*n**2 + i*n**4 + 0*n + 1/5*n**3 + 0.
-n**2*(n - 1)**2*(n + 1)/5
Suppose 0 = -4*c + 425 - 401. Let h(o) be the third derivative of -c*o**2 + 0 + 0*o + 1/36*o**4 + 0*o**3 + 1/180*o**6 - 1/45*o**5. Suppose h(a) = 0. What is a?
0, 1
Let c(o) be the first derivative of o**3/4 - 148. Factor c(m).
3*m**2/4
Let b(f) be the third derivative of -7*f**6/360 + 13*f**5/60 + f**4/3 - f**3 + 5*f**2. Let z