7 = 0. What is b?
-2, 1
Let b(k) be the second derivative of 1/6*k**7 - 8/15*k**6 + 7/6*k**4 + 0 + k**2 - 4*k - 11/6*k**3 + 1/5*k**5. Suppose b(v) = 0. Calculate v.
-1, 2/7, 1
Suppose -4*p + 9 + 7 = 0. Let i(m) be the third derivative of 0 + 1/48*m**p - 3*m**2 + 1/240*m**5 + 0*m + 1/24*m**3. Suppose i(w) = 0. Calculate w.
-1
Let y = -16 - -26. Suppose 12*u - 7*u = y. Find f, given that -4/3*f**u - 2*f**4 + 0 + 10/3*f**3 + 0*f = 0.
0, 2/3, 1
Let y(s) be the first derivative of s**4/28 + 3*s**3/7 + 27*s**2/14 + 27*s/7 + 3. Factor y(t).
(t + 3)**3/7
Let h(l) = -8. Let c(v) = -v**2 + v + 24. Let j(f) = 4*c(f) + 11*h(f). Factor j(b).
-4*(b - 2)*(b + 1)
Factor 6/7*q**3 + 0*q - 2/7*q**4 + 0 - 4/7*q**2.
-2*q**2*(q - 2)*(q - 1)/7
Suppose i = 2*p + 7 - 3, -3*p - 20 = -5*i. Let 15/4*o**2 + 3*o**3 - 9/4*o**4 + p - 3/2*o = 0. Calculate o.
-1, 0, 1/3, 2
Find q, given that -52/5*q**2 + 64/5*q - 16/5 + 12/5*q**3 = 0.
1/3, 2
Let a(u) be the third derivative of -u**7/1260 + u**6/240 - u**5/120 + u**4/144 + 7*u**2. Factor a(y).
-y*(y - 1)**3/6
Find i, given that 1/2*i**2 + 3/2*i + 0 = 0.
-3, 0
Let p(m) = m**2 + 4*m - 3. Let u be p(-5). Factor 4*d + 4*d**4 - 3*d**2 - d**2 + u*d**2 - 4*d**3 - 2*d**2.
4*d*(d - 1)**2*(d + 1)
Let c(l) be the first derivative of -l**7/3360 + l**6/1440 + l**5/96 + l**4/32 - 4*l**3/3 + 7. Let g(u) be the third derivative of c(u). Factor g(d).
-(d - 3)*(d + 1)**2/4
Let h = 5 + 47. Let j be h/48 + 2/8. Determine x, given that -2/3*x**3 - j*x**2 + 0 + 0*x = 0.
-2, 0
Let y(p) = 30*p**2 - p. Let s = 1 + -2. Let n be y(s). Let 9*k**2 - n*k**3 + 21*k**2 + 6*k**4 + 9*k**3 + 4 - 18*k = 0. Calculate k.
2/3, 1
Let r = 7 - 3. Factor -3/5*k**5 + 0 + 3/5*k**r - 3/5*k**2 + 3/5*k**3 + 0*k.
-3*k**2*(k - 1)**2*(k + 1)/5
Factor 44*w**2 - 76*w**2 - 51*w**3 + 3*w**3 - 5*w**5 - 24*w**4 + w**5.
-4*w**2*(w + 2)**3
Let m(f) be the first derivative of f**4/10 + f**3/15 - 2*f**2/5 - 4*f - 2. Let v(p) be the first derivative of m(p). Solve v(i) = 0.
-1, 2/3
Let s(r) be the second derivative of 4*r - 3/4*r**4 + 0*r**3 + 6*r**2 - 3/20*r**5 + 0. Factor s(n).
-3*(n - 1)*(n + 2)**2
Let s be ((-2)/(-10))/((-1)/(-5)). Let k be 12 - 13 - -3*s. Factor 20*w + 175/2*w**4 + 49/2*w**5 + 145/2*w**k + 235/2*w**3 + 2.
(w + 1)**3*(7*w + 2)**2/2
Let f be 5/(10/(-4))*-4. Suppose -14*p + f = -10*p. Find l, given that 0 + 2/7*l**3 + 4/7*l**p + 2/7*l = 0.
-1, 0
Let f(d) = -6*d**3 - 8*d**2 - 8*d. Let t(n) = -2*n**3 - 3*n**2 - 3*n. Let k(m) = 3*f(m) - 8*t(m). Factor k(o).
-2*o**3
Suppose -62 + 10*s - 2*s**2 + 62 - 3*s**2 = 0. What is s?
0, 2
Let f(q) be the second derivative of -1/3*q**3 + 0*q**2 - 1/10*q**5 + 1/3*q**4 + 0 - q. Factor f(z).
-2*z*(z - 1)**2
Factor 8/9*a + 20/9*a**2 - 16/9 - 2/9*a**3 - 2/9*a**5 - 8/9*a**4.
-2*(a - 1)**2*(a + 2)**3/9
Let y(a) be the first derivative of -a**4/36 - a**3/18 + 7*a + 4. Let p(i) be the first derivative of y(i). Factor p(v).
-v*(v + 1)/3
Let z(o) be the second derivative of o**5/20 + o**4/2 - o**3/3 - 7*o**2/2 + 4*o. Let b be z(-6). Factor -b*g - 3 + 2*g**2 - 4*g - 3*g + g**2 + 12*g**3.
3*(g - 1)*(g + 1)*(4*g + 1)
Suppose 0 = -61*b + 64*b. Let n(i) be the second derivative of -7/120*i**6 - 2*i - 1/16*i**4 - 3/20*i**5 + 0*i**2 + 1/12*i**3 + b. Suppose n(r) = 0. What is r?
-1, 0, 2/7
Let r = 7 - 4. Factor -17 - r*u**2 + 11 + 6.
-3*u**2
Suppose 4/9*s**3 - 2/9*s**2 + 2/9 - 4/9*s = 0. What is s?
-1, 1/2, 1
Let q(l) be the first derivative of -15*l**4/4 + 25*l**3/3 + 5*l**2 + 12. What is w in q(w) = 0?
-1/3, 0, 2
Let a(w) be the second derivative of 0*w**2 - 5*w - 1/6*w**4 + 0 + 0*w**3 + 1/10*w**5. Solve a(o) = 0.
0, 1
Let d(p) = p**2 + 7*p + 2. Let i be d(-6). Let h(m) = m**2 - m + 1. Let c(n) = -n + 1. Let u(o) = i*h(o) + 4*c(o). Solve u(z) = 0.
0
Let r(v) be the first derivative of 2*v**3 - 2*v**4 - 8*v + 2/5*v**5 - 7 + 4*v**2. Factor r(i).
2*(i - 2)**2*(i - 1)*(i + 1)
Let y(p) be the first derivative of 3 + 3/2*p**3 + 1/2*p**2 + 0*p - 2/5*p**5 + 3/8*p**4. Factor y(n).
-n*(n - 2)*(n + 1)*(4*n + 1)/2
Let z = 1208 + -1202. Factor -20/7*v**3 - 18/7*v**5 - z*v**4 + 12/7*v**2 + 6/7*v - 2/7.
-2*(v + 1)**3*(3*v - 1)**2/7
Let t(a) be the third derivative of -a**7/1260 + a**6/270 - a**5/180 + a**3/3 + a**2. Let k(x) be the first derivative of t(x). Determine l so that k(l) = 0.
0, 1
Factor -1/3*z**3 - 2*z**2 + 10/3 - z.
-(z - 1)*(z + 2)*(z + 5)/3
Let k(t) be the third derivative of -t**6/40 - 13*t**5/30 - 8*t**4/3 - 16*t**3/3 + 41*t**2. Let k(u) = 0. What is u?
-4, -2/3
Let x(r) be the first derivative of r**5/20 - r**3/2 - r**2 + 6*r - 2. Let o(v) be the first derivative of x(v). Determine c so that o(c) = 0.
-1, 2
Let s = -85 - -85. Let f(z) be the third derivative of 0*z**3 - 3*z**2 + 0*z + 1/60*z**5 + s + 1/12*z**4. Factor f(x).
x*(x + 2)
Let q(s) = -6*s**3 + 54*s**2 - 162*s + 154. Let r(w) = 4*w**3 - 36*w**2 + 108*w - 103. Let j(k) = 5*q(k) + 8*r(k). Solve j(t) = 0.
3
Let h(a) be the second derivative of -a**8/280 - a**7/60 - a**6/36 - a**5/60 - a**3/3 - a. Let b(f) be the second derivative of h(f). Factor b(c).
-2*c*(c + 1)**2*(3*c + 1)
Let r(u) = -3*u**5 + 6*u**4 + u**3 - 3*u**2 - 5*u + 5. Let y(w) = 2*w**5 - 3*w**4 + 2*w**2 + 3*w - 3. Let p(i) = 3*r(i) + 5*y(i). Factor p(x).
x**2*(x + 1)**3
Let n(m) = -m**3 + 10*m**2 + 14*m - 30. Let j be n(11). Factor 1/3*p**2 + 0 - 1/3*p**4 + 0*p**j + 1/6*p**5 - 1/6*p.
p*(p - 1)**3*(p + 1)/6
Suppose -6 = -4*q + 5*q. Let p be 24/(-80)*8/q. Find f, given that 2/5*f**2 + p*f + 0 = 0.
-1, 0
Let x(f) be the first derivative of -4*f**5/15 - f**4 - 4*f**3/9 + 2*f**2 + 8*f/3 - 7. Determine c so that x(c) = 0.
-2, -1, 1
Let y(o) be the third derivative of -o**5/20 + o**4/2 - 2*o**3 - 4*o**2. What is c in y(c) = 0?
2
Let f(l) be the second derivative of 1/10*l**6 + 0 + 0*l**2 + 0*l**3 + 1/4*l**4 + 5*l + 3/10*l**5. Solve f(r) = 0.
-1, 0
Let q(w) be the third derivative of -w**5/510 - w**4/51 - 4*w**3/51 - 37*w**2. Solve q(g) = 0 for g.
-2
Let l(c) be the first derivative of 1 + 3/2*c**2 - c**3 + 0*c. Suppose l(v) = 0. What is v?
0, 1
Suppose 4*f + h = 13, -f - 2*h = -6*h + 1. Let x be ((-3)/(-4))/f*10. Factor x*c**4 - 3/2*c**3 + 1 - 7/2*c**2 + 3/2*c.
(c - 1)**2*(c + 1)*(5*c + 2)/2
Let w(t) be the first derivative of -t**2 + 0*t**3 + t + 4 + 1/2*t**4 - 1/5*t**5. Suppose w(p) = 0. Calculate p.
-1, 1
Let i be 1/(-3)*(4 - 7). Let f = i + 1. Find n, given that 3 - 4 - 2*n**4 + f*n + 3*n**4 - 2*n**3 = 0.
-1, 1
Let g(k) = 10*k**3 + k**2 + k. Let m be g(-1). Let r(t) = t**2 + t - 1. Let x = -11 + 9. Let u(l) = -4*l**2 - 6*l + 5. Let j(y) = m*r(y) + x*u(y). Factor j(q).
-2*q*(q - 1)
Let q(o) = o**2 - 4*o - 3. Let l be q(5). Factor 0*y - 6/7*y**l + 8/7 - 2/7*y**3.
-2*(y - 1)*(y + 2)**2/7
Factor -4*v**3 - 11/5*v**4 + 2/5*v + 0 - 7/5*v**2.
-v*(v + 1)**2*(11*v - 2)/5
Let g(c) be the third derivative of 0*c + 0 + 0*c**4 - 1/175*c**7 + 2*c**2 - 1/100*c**6 - 1/840*c**8 + 0*c**3 - 1/150*c**5. Solve g(b) = 0 for b.
-1, 0
Let g(m) be the second derivative of 5*m + 0 + 1/8*m**3 + 1/48*m**4 + 1/4*m**2. Factor g(q).
(q + 1)*(q + 2)/4
Let p = -2 + 4. Let x = -7 - -10. Let -1 + p + 2*q**2 - x = 0. What is q?
-1, 1
Let x = -102 + 102. Find n such that -1/8*n**2 + 1/4*n + x - 1/8*n**3 = 0.
-2, 0, 1
Let v(b) be the second derivative of b**4/78 + 4*b**3/13 + 36*b**2/13 + 23*b. Factor v(f).
2*(f + 6)**2/13
Let x(u) be the first derivative of u**5/30 + u**4/12 - 3*u**2/2 - 5. Let y(n) be the second derivative of x(n). Factor y(f).
2*f*(f + 1)
Let j(i) be the first derivative of 5*i**6/6 + 12*i**5/5 + i**4 - 10*i**3/3 - 9*i**2/2 - 2*i + 3. Find k, given that j(k) = 0.
-1, -2/5, 1
Let u be (63/(-6))/(1/(-2)). Let f be u/(-12) + (2 - 0). Factor -1/4*a**2 + 0 + f*a.
-a*(a - 1)/4
Suppose 13*x + 16*x = 0. Determine k, given that 0*k - 4*k**2 - 4/3*k**3 + x = 0.
-3, 0
Let t(n) be the first derivative of n**3/3 - n**2 - 7. Determine k, given that t(k) = 0.
0, 2
Suppose -9 = -2*q - q. What is n in -5*n**2 - 6*n**2 + 3*n + 11*n**2 - q*n**3 = 0?
-1, 0, 1
Let d(g) be the first derivative of g**5/170 - g**3/51 + 5*g - 4. Let k(y) be the first derivative of d(y). Factor k(u).
2*u*(u - 1)*(u + 1)/17
Let g(m) be the first derivative of 4*m**5/5 + 5*m**4 + 32*m**3/3 + 8*m**2 + 6. Let g(l) = 0. What is l?
-2, -1, 0
Determine p, given that -4/13*p - 6/13*p**2 + 0 = 0.
