 - 1)**2*(s + 9)/7
Let y(x) be the first derivative of -3/5*x**5 + 10 + 0*x + 3/4*x**4 + 0*x**3 + 0*x**2. Find d, given that y(d) = 0.
0, 1
Let d(v) = -v**3 + v**2 + 22*v - 10. Let u be d(5). Let n(f) be the third derivative of 1/80*f**6 - 3*f**2 + 0*f + 0 + u*f**4 + 0*f**5 + 0*f**3. Factor n(o).
3*o**3/2
Let x be ((-8)/5 - -2)/((-10)/(-100)). Determine j so that 23*j**4 - j**5 - 4*j - 54*j**x - 13*j**2 + 0*j**2 - 15*j**3 + 24*j**4 = 0.
-4, -1, 0
Let j(s) be the second derivative of s**7/42 + 2*s**6/15 + s**5/5 - s**4/6 - 5*s**3/6 - s**2 - 72*s. Let j(w) = 0. Calculate w.
-2, -1, 1
Let z(p) be the first derivative of -3*p**5/40 + 15*p**4/16 - 33*p**3/8 + 27*p**2/4 - 857. Factor z(t).
-3*t*(t - 4)*(t - 3)**2/8
Let v(y) be the first derivative of y**3 - 3*y**2 + 24 + 3/4*y**4 + 0*y. Suppose v(a) = 0. What is a?
-2, 0, 1
Let p(h) be the first derivative of -4*h**6/15 + 14*h**5/25 + 9*h**4/20 - 11*h**3/15 + h**2/5 + 465. Find v, given that p(v) = 0.
-1, 0, 1/4, 1/2, 2
Let x(o) be the second derivative of o**7/252 + o**6/180 - 22*o. Determine r so that x(r) = 0.
-1, 0
Let i(p) be the second derivative of p**8/2688 - p**7/840 + p**5/240 - p**4/192 - 4*p**2 + 8*p. Let z(g) be the first derivative of i(g). Factor z(v).
v*(v - 1)**3*(v + 1)/8
Suppose 10 - 17 = 4*u + 5*l, 5*u - 5*l = 25. Factor 1/2*m**u + 0 - m.
m*(m - 2)/2
Suppose 0*z - z + m = -3, 0 = -3*z + 2*m + 10. Determine b, given that -16*b**3 + 529*b**5 - 10*b**z + b - b - 531*b**5 - 8*b**2 = 0.
-2, -1, 0
Let z be (-108)/(-352) + (-3)/24 - (-340)/187. Factor -z*b + 0 + 4/3*b**2 + 2/3*b**3.
2*b*(b - 1)*(b + 3)/3
Suppose 5*y + 7 - 17 = 0. Suppose 6 = y*c + 2. Factor 13 - 4 - 3*k - 6*k**2 + 0*k**c + 0*k**2.
-3*(k - 1)*(2*k + 3)
Find q, given that -12/5 - 58/5*q - 8/5*q**3 - 42/5*q**2 = 0.
-3, -2, -1/4
Let n(v) be the third derivative of v**7/42 - v**5/12 - 140*v**2. Factor n(x).
5*x**2*(x - 1)*(x + 1)
Let z(f) be the first derivative of -f**4/4 - 2*f**3/3 + 10*f**2 - 24*f + 26. Solve z(i) = 0 for i.
-6, 2
Let i(p) = -2*p**3 - 2*p**2 - 2*p. Let l(y) = 14*y**3 - 121*y**2 + 77*y + 66. Let j(b) = 6*i(b) + l(b). Factor j(m).
(m - 66)*(m - 1)*(2*m + 1)
Let k(n) = -7 - 4*n - 5*n + 8*n. Let p be k(-4). Let v(w) = 7*w**2 + 2*w. Let g(y) = -6*y**2 - 3*y. Let h(s) = p*v(s) - 4*g(s). Factor h(m).
3*m*(m + 2)
Let s(y) be the third derivative of -y**5/60 - 5*y**4/12 + y**3 - 2*y**2. Let r be s(-6). Factor r*f**2 - 5 - 28*f**2 + 3.
2*(f - 1)*(f + 1)
Find q, given that 1/5*q**4 - 2/5*q + 0 + 2/5*q**3 - 1/5*q**2 = 0.
-2, -1, 0, 1
Let j(t) be the first derivative of -t**5/60 - 7*t**4/24 - t**3 + t**2/2 - 9. Let y(p) be the second derivative of j(p). Factor y(f).
-(f + 1)*(f + 6)
Suppose -6751*n = -6753*n + 4. Factor 0*a**4 + 0*a + 0 + 0*a**n - 1/4*a**5 + 1/4*a**3.
-a**3*(a - 1)*(a + 1)/4
Let h = -26673/11 + 2425. Factor h - 2/11*b**2 + 0*b.
-2*(b - 1)*(b + 1)/11
Let g(w) = -24*w**2 - 16*w + 14. Let d(p) = 12*p**2 + 8*p - 8. Let l(x) = 7*d(x) + 4*g(x). Solve l(j) = 0 for j.
-2/3, 0
Let y be 204/255*10/96. Let u(m) be the first derivative of -1/20*m**5 + 0*m**2 + y*m**3 + 1/24*m**6 + 0*m - 1/16*m**4 + 7. Solve u(j) = 0.
-1, 0, 1
Let l = 16 + -21. Let u(c) = c**4 + 3*c**3 + c**2 + 3*c - 8. Let m(k) = -k**3 + 1. Let a(r) = l*u(r) - 30*m(r). What is s in a(s) = 0?
-1, 1, 2
Let o(u) be the second derivative of -5*u + 0*u**3 - 1/100*u**5 - u**2 + 0 + 0*u**4. Let l(s) be the first derivative of o(s). Factor l(j).
-3*j**2/5
Let l(u) be the third derivative of u**7/60 + 47*u**6/240 + 21*u**5/40 + 13*u**4/48 - 5*u**3/6 + 15*u**2 - 2. Factor l(i).
(i + 1)**2*(i + 5)*(7*i - 2)/2
Let z(m) = -5*m**2 + 137*m - 977. Let p(f) = -5*f**2 + 138*f - 978. Let s(h) = 3*p(h) - 2*z(h). Let s(i) = 0. What is i?
14
Let l(j) = -j**2 - 11*j + 26. Let v be l(2). Let o(i) be the third derivative of 0*i**5 + 0*i**3 + v + 1/36*i**4 - 1/180*i**6 + 0*i - 6*i**2. Factor o(f).
-2*f*(f - 1)*(f + 1)/3
Let q(r) be the first derivative of 3/2*r**2 + r**3 - 1/8*r**4 - 5 - 1/20*r**5 + 0*r. Let f(u) be the second derivative of q(u). Factor f(j).
-3*(j - 1)*(j + 2)
Let w(z) be the third derivative of 0 + 1/120*z**5 + 25/3*z**3 + 0*z + 5/12*z**4 - 10*z**2. Let w(f) = 0. Calculate f.
-10
Let t = -29641/5 + 5929. What is d in 0 - 4/5*d + t*d**3 + 6/5*d**2 = 0?
-2, 0, 1/2
Let k be -4*-2*(239/(-80) + 3)*6. Determine y so that k*y + 4/5*y**2 + 1/5*y**3 + 0 = 0.
-3, -1, 0
Suppose 0 = 112*x + 148*x - 780. Find u, given that -280/11*u - 374*u**x + 16/11 + 242*u**4 + 156*u**2 = 0.
2/11, 1
Let b(c) be the third derivative of c**7/1470 + c**6/210 - c**5/35 - 4*c**4/21 + 32*c**3/21 + 39*c**2 + 2. Determine f, given that b(f) = 0.
-4, 2
Let g(u) be the second derivative of -u**7/98 - u**6/35 + 3*u**5/20 - u**4/7 - 63*u - 1. Find h, given that g(h) = 0.
-4, 0, 1
Solve 6/17*v**3 - 2/17*v**2 - 4/17*v + 0 + 2/17*v**4 - 2/17*v**5 = 0 for v.
-1, 0, 1, 2
Let v be (-2 - 4*-3) + 0/(-6). Let 5*d**2 + 3*d + 4*d**2 + 6*d**3 + 10*d**2 - v*d**2 = 0. Calculate d.
-1, -1/2, 0
Let p(b) = 4*b**2 + 40*b - 6. Let w(g) = g**2 - 2. Let y(l) = -p(l) + 2*w(l). Let i be y(-20). Find q such that -2/5*q + 0 + 2/5*q**i = 0.
0, 1
Solve -3/4*h**4 - 3/4 + 0*h + 3/2*h**2 + 0*h**3 = 0 for h.
-1, 1
Suppose 1 - 3/2*h**2 + 1/2*h = 0. What is h?
-2/3, 1
Let h(k) = -k**2 + 9*k - 21. Let w be h(5). Let g be w/(-4) + (-2)/8. What is x in -1/2*x**3 + 0 + g*x**4 + 0*x**2 + 1/4*x**5 + 1/4*x = 0?
-1, 0, 1
Let u(b) = -10*b**3 + 14*b**2 + 40*b. Let q(r) = -r**3 + 2*r**2. Let f(k) = -8*q(k) + u(k). Factor f(s).
-2*s*(s - 4)*(s + 5)
Let u(a) be the first derivative of 2*a**5/35 - 2*a**4/7 - 12*a**3/7 - 20*a**2/7 - 2*a + 25. Let u(k) = 0. What is k?
-1, 7
Let x = -1/240 - -2521/240. Let q be ((-209)/5)/19*(-195)/26. Solve -x*u**2 - 3 - q*u + 33/2*u**3 + 27/2*u**4 = 0 for u.
-1, -2/9, 1
Let a(k) be the second derivative of 5/2*k**3 + 1/4*k**4 + 0 - 13*k + 9*k**2. Factor a(v).
3*(v + 2)*(v + 3)
Let m(p) be the third derivative of p**7/1995 - 3*p**6/380 - 7*p**5/190 - 11*p**4/228 + 61*p**2. Factor m(b).
2*b*(b - 11)*(b + 1)**2/19
Let q(s) = s**2 + 5*s - 2. Let t(g) = 3*g. Let d be t(-2). Let r be q(d). Factor -2*x**2 - 2*x**4 + 2*x**r - 2*x**4 - 4*x**3.
-2*x**2*(x + 1)**2
Let q(b) be the first derivative of -5*b**3/3 - 150*b**2 - 4500*b - 138. Factor q(w).
-5*(w + 30)**2
Let q(x) be the second derivative of x**4/48 - 79*x**3/24 - 10*x**2 - 572*x. Factor q(w).
(w - 80)*(w + 1)/4
Solve -52*y**3 + 3*y**5 - 144*y**3 - 48*y + 14*y**2 - 8*y**4 + 23*y**5 + 210*y**2 + 2*y**5 = 0 for y.
-3, 0, 2/7, 1, 2
Solve 0 - 1/4*s**2 - 39/2*s = 0.
-78, 0
Let q(p) be the first derivative of 5 + 1/5*p**5 + 0*p**3 + 3/4*p**4 - 2*p**2 + 0*p. Determine a so that q(a) = 0.
-2, 0, 1
Suppose 5*y + 3*a + 3 = 0, 5*y + 0*a - 5*a - 45 = 0. Factor 4/7*h**2 - 2/7*h - 2/7*h**y + 0.
-2*h*(h - 1)**2/7
Let f(w) = -6*w - 4. Let h(o) = -o**2 + 4*o - 5. Let l be h(2). Let y be f(l). Factor -1/7*k**y + 1/7*k + 1/7*k**4 - 1/7*k**3 + 0.
k*(k - 1)**2*(k + 1)/7
Suppose 42*m**3 + 882/19*m**2 - 82/19*m**4 + 2/19*m**5 + 0 + 0*m = 0. Calculate m.
-1, 0, 21
Let m be ((-564)/63 - -9)/(2*1). Let u(n) be the third derivative of 1/24*n**6 + 0*n**3 + 0*n**5 + 0*n**4 + m*n**7 + 0*n + 0 + 4*n**2. Factor u(q).
5*q**3*(q + 1)
Let p(u) be the third derivative of -u**7/504 - u**6/144 - 13*u**4/24 + 15*u**2. Let q(r) be the second derivative of p(r). Factor q(z).
-5*z*(z + 1)
Let i be (213/78 + -3)*-1. Let w(v) be the first derivative of -4 + i*v**4 + 0*v**2 - 2/13*v**3 - 4/65*v**5 + 0*v. Suppose w(l) = 0. What is l?
0, 1/2, 3
Let s be (6*3/27)/((-14)/(-6)). Suppose 355*b - 354*b - 2 = 0. Find m, given that s*m**3 - 2/7*m + 0*m**b - 1/7 + 1/7*m**4 = 0.
-1, 1
Let b(c) be the third derivative of c**8/168 + c**7/35 - c**6/6 + c**5/15 + 3*c**4/4 - 5*c**3/3 + 8*c**2 - 1. Factor b(q).
2*(q - 1)**3*(q + 1)*(q + 5)
Factor 28*r**2 - 64*r + 23 + 36 - 11 - 3*r**3 - r**3.
-4*(r - 3)*(r - 2)**2
Suppose x - 2*s - 3*s = -16, 5*s - 10 = 0. Let y = -16/3 - x. Factor -8/3 - y*v**2 + 8/3*v.
-2*(v - 2)**2/3
Let d(v) be the first derivative of -2*v**3/51 + 2*v**2/17 + 286*v/17 + 301. Solve d(t) = 0.
-11, 13
Let v(g) be the third derivative of 1/3*g**4 + 0*g - 8/9*g**3 + 1/180*g**6 - 1/15*g**5 + 0 + 8*g**2. Factor v(f).
2*(f - 2)**3/3
Let j be (-490)/(-28)*16/21. Factor -j*f + 8/3 + 6*f**2.
2*(f - 2)*(9