, given that i(h) = 0.
-1, -1/4, 1/2
Let y be 1 + 3 + 6/(-3). Suppose -2*t + 4 = -y. Solve 0*k + 2/5*k**t + 0 - 1/5*k**4 - 1/5*k**2 = 0 for k.
0, 1
Let w(t) be the first derivative of 25*t**6/6 + 4*t**5 + t**4 + 6. Suppose w(m) = 0. Calculate m.
-2/5, 0
Let f(j) = -3*j**4 + 2*j**3. Let b(p) = -4*p**4 + 3*p**3. Let a(r) = 5*b(r) - 7*f(r). Factor a(u).
u**3*(u + 1)
Let 12/5*t**3 + 32/5*t**4 + 0*t + 12/5*t**5 + 0 - 8/5*t**2 = 0. Calculate t.
-2, -1, 0, 1/3
Let b(y) = y**3 + y**2 + y. Let k = 23 - 21. Let i(z) = z**3 + 2 + 0*z + 3*z + 0*z**3. Let f(l) = k*i(l) - 4*b(l). Determine v, given that f(v) = 0.
-2, -1, 1
Let f be (33/6 - -1)*2. Suppose -23 = -5*j - f. Factor 0 + 2/3*m**4 - 2/3*m - 2/3*m**j + 2/3*m**3.
2*m*(m - 1)*(m + 1)**2/3
Suppose -27 = -0*z - 9*z. Let a(r) be the first derivative of 1/15*r**z + 2/25*r**5 + 3 + 0*r + 0*r**2 - 3/20*r**4. Find y, given that a(y) = 0.
0, 1/2, 1
Let w(k) be the first derivative of -3*k**5/20 + k**4/4 - k - 2. Let f(l) be the first derivative of w(l). Determine t so that f(t) = 0.
0, 1
Suppose -5*z + 0 + 50 = 0. Let b be 14/(-35) + 4/z. Factor 1/5*n**2 + 0 + b*n - 1/5*n**3.
-n**2*(n - 1)/5
Suppose 0 = -5*b + 18 - 3. Let w be 5 + b/(-1) + 3. Factor 8*c**4 + 12*c**3 + 1 + 2*c - c**5 + 3*c**w + 8*c**2 - 1.
2*c*(c + 1)**4
Let u(o) be the second derivative of -o**7/840 + o**5/120 - o**3/24 + o**2 - 4*o. Let h(b) be the first derivative of u(b). Find w, given that h(w) = 0.
-1, 1
Let m = -2 + 4. Let n(s) = 42*s**2 + s. Let u be n(-1). What is q in -q**3 - u*q**4 - 24*q**4 + 3 - 50*q**5 + 28*q + 23*q**3 + 61*q**m + 1 = 0?
-1, -1/2, -2/5, 1
Let l(c) be the first derivative of -c**4/18 + 4*c**3/27 - c**2/9 + 3. Factor l(p).
-2*p*(p - 1)**2/9
Let v(a) be the second derivative of -a**6/180 - a**5/30 + 4*a**3/3 - a. Let j(z) be the second derivative of v(z). Factor j(n).
-2*n*(n + 2)
Let w(u) = 5*u**5 + 4*u**4 - 2*u**3 - 3*u - 4. Let f(s) = -6*s**5 - 5*s**4 + 2*s**3 + 4*s + 5. Let x(l) = 4*f(l) + 5*w(l). Factor x(j).
j*(j - 1)**2*(j + 1)**2
Let t = -7 - 12. Let g = 21 + t. Factor 3/5*k**g - 2/5*k**3 - 4/5 + 4/5*k - 1/5*k**4.
-(k - 1)**2*(k + 2)**2/5
Let n(l) = 81*l + l**2 - 81*l. Let x(m) = 8*m**2 + m - 2. Let k(i) = -14*n(i) + 2*x(i). Suppose k(y) = 0. What is y?
-2, 1
Let b be 10/(-25) + (-363)/(-900). Let f(s) be the third derivative of -2*s**2 + 0*s**4 + 0*s - 1/150*s**5 + 0*s**3 + 0 - b*s**6. Suppose f(k) = 0. What is k?
-1, 0
Let l = 4 - 1. What is m in 2*m**l + 1 + 7*m - m - 8*m - m**4 = 0?
-1, 1
Factor -1/3*r**2 - 1/3*r + 2/3.
-(r - 1)*(r + 2)/3
Factor 14*n**3 + 23*n - 35*n - 3*n**4 - 5*n**3.
-3*n*(n - 2)**2*(n + 1)
Let l = 383/970 + 1/194. Suppose l*n**2 + 6/5 - 8/5*n = 0. What is n?
1, 3
Let 3/2*g**2 + 7/2*g + 1 = 0. What is g?
-2, -1/3
Determine r, given that -1/2*r**3 - 3/2*r - 3/2*r**2 - 1/2 = 0.
-1
Factor -16*z**2 - 2 + 4 + 0 + 2*z**4 + 12*z**2.
2*(z - 1)**2*(z + 1)**2
Let 7*v**2 + 4*v**2 + 0*v**2 + 5*v**3 - 6*v**2 = 0. Calculate v.
-1, 0
Let k be (-15)/10 - 1/(-2). Let r be k - -1*(-14)/(-8). Suppose 0*h - 1 + r*h**2 - 1/4*h**3 = 0. Calculate h.
-1, 2
Let g(d) = -d**3 - 4*d**2 - 3*d - 12. Let y be g(-4). Let z(t) be the first derivative of 0*t + 2 + y*t**2 - 2/21*t**3. Factor z(f).
-2*f**2/7
Let d be (1/(-21))/(-13 + 3). Let r(a) be the third derivative of 1/42*a**4 + 0 + 0*a + 1/21*a**3 + d*a**5 + 2*a**2. Factor r(m).
2*(m + 1)**2/7
Let v(o) = -10*o**5 - 7*o**4 + 30*o**3 + 13*o**2 + 7*o. Let h(w) = -5*w**5 - 3*w**4 + 15*w**3 + 7*w**2 + 3*w. Let c(a) = 7*h(a) - 3*v(a). Factor c(u).
-5*u**2*(u - 2)*(u + 1)**2
Suppose -7*y + j + 21 = -2*y, 2*y = -5*j + 3. Suppose y*f + 3*b = 19, 3*b - 4 + 5 = f. Factor -24*z**2 - 5*z - 3*z - 35*z**f - 50*z**5 + 95*z**4 + 22*z**3.
-2*z*(z - 1)**2*(5*z + 2)**2
Let a(n) be the first derivative of n**4/4 - n**3/3 - 6. Solve a(p) = 0.
0, 1
Let s be 4/3 + (8/(-3))/(-4). Let c = 2 - 0. Factor s*l - 2/3*l**c - 4/3.
-2*(l - 2)*(l - 1)/3
Let s(r) be the second derivative of 2*r**6/45 - 2*r**5/15 + 4*r**3/9 - 2*r**2/3 - 3*r. Find h, given that s(h) = 0.
-1, 1
Suppose 291 - 306 = -5*m. Suppose -1/6*n**5 + 1/6*n + 0*n**m - 1/3*n**4 + 1/3*n**2 + 0 = 0. Calculate n.
-1, 0, 1
Let b be -2 - (273/(-90) + 1). Let p(m) be the second derivative of b*m**4 + 0 - 1/15*m**3 + 0*m**2 + 4*m. Factor p(f).
2*f*(f - 1)/5
Let j(q) be the first derivative of -1/6*q**3 + 0*q**2 + 1/20*q**5 + 0*q**4 + 1 + 1/4*q. Factor j(k).
(k - 1)**2*(k + 1)**2/4
Suppose 5*g = -5*u, 0 = -2*u - 3*u - 4*g. Let r(y) be the second derivative of 0 + 2*y + u*y**2 - 1/100*y**5 - 1/60*y**4 + 0*y**3. Find o, given that r(o) = 0.
-1, 0
Let u(p) = -4*p + 2*p**2 + 2*p - 3 + 0*p + 3*p. Suppose 2*k - 9 = 5*k. Let g(n) = -3*n**2 - n + 4. Let q(w) = k*g(w) - 4*u(w). Factor q(s).
s*(s - 1)
Suppose 6*j - 8 = 2*j. Let k(g) be the second derivative of -g**2 - 1/6*g**4 + 0 - 2/3*g**3 - j*g. Find v, given that k(v) = 0.
-1
Let v(g) be the first derivative of -4*g**5/5 - 4*g**4 - 16*g**3/3 - 11. Suppose v(x) = 0. What is x?
-2, 0
Factor -2*k**2 + 9*k + 2 - k - 8 - 2.
-2*(k - 2)**2
Let h(i) be the first derivative of i**5/40 + i**4/8 + i**3/6 + i - 4. Let z(y) be the first derivative of h(y). Factor z(g).
g*(g + 1)*(g + 2)/2
Suppose 4*h + 52 = 4*d + 16, 4*d + 3*h - 8 = 0. Suppose -8*i + d*i + 12 = 0. Determine o so that -4/9*o + 0*o**2 + 2/9 - 2/9*o**i + 4/9*o**3 = 0.
-1, 1
Let y(n) = -n**3 - 7*n**2 + 3*n - 40. Let s be y(-8). Factor 3/5 + 0*l**3 - 6/5*l**2 + s*l + 3/5*l**4.
3*(l - 1)**2*(l + 1)**2/5
Let n(c) be the first derivative of 0*c**3 - 2 + 0*c**2 + 1/24*c**4 + c - 1/40*c**5. Let d(o) be the first derivative of n(o). Solve d(u) = 0.
0, 1
Let k = 21 + -15. Let o be (k/(-7))/(4/112). Let s(l) = -l. Let a(i) = -i**2 - 12*i - 4. Let g(w) = o*s(w) + 3*a(w). Let g(y) = 0. What is y?
-2
Let f(r) be the third derivative of 3*r**2 - 1/120*r**6 + 0*r + 0*r**4 - 2/3*r**3 + 0 + 1/20*r**5. Factor f(c).
-(c - 2)**2*(c + 1)
Let j be 2 - 8 - 96/(-14). What is c in 2/7*c**3 + 0 + j*c**4 + 2/7*c**5 - 4/7*c - 6/7*c**2 = 0?
-2, -1, 0, 1
Let m(u) be the first derivative of 6/5*u + 12/5*u**3 - 27/10*u**2 + 5 - 3/5*u**4. Factor m(a).
-3*(a - 2)*(2*a - 1)**2/5
Let u(q) be the third derivative of -q**8/336 + q**6/120 - 18*q**2. Factor u(w).
-w**3*(w - 1)*(w + 1)
Let q(x) be the first derivative of 14*x**6/3 + 43*x**5/5 - 39*x**4/4 - 28*x**3/3 - 2*x**2 + 8. Find m such that q(m) = 0.
-2, -2/7, -1/4, 0, 1
Let o = 8 - 10. Let a be o + (-4)/((-24)/15). Factor 0*z + 0 + 1/4*z**4 + a*z**3 + 1/4*z**2.
z**2*(z + 1)**2/4
Let i(k) = 16*k**2 - 35*k - 2. Let f(o) = 95*o**2 - 210*o - 10. Let h(g) = 4*f(g) - 25*i(g). Factor h(b).
-5*(b - 2)*(4*b + 1)
Let -i**2 + 3*i**2 - 5*i**2 - 9*i = 0. What is i?
-3, 0
Suppose -1 = 3*d - 5*b, 4*d = d - 2*b + 13. Suppose d*k = 8*k - 10. Factor k*q**4 - 3*q + q - 3*q**2 - 6*q**3 + 4*q**2 + 5*q**2.
2*q*(q - 1)**3
Let v be (-1)/(-3) + (-296)/(-30). Let a = -49/5 + v. Find b such that 0 + 0*b**2 + 0*b + a*b**3 = 0.
0
Suppose -10*r + 9*r = 5*u + 25, -15 = -5*r + 3*u. What is j in 0*j**2 + 0 - 2/5*j**3 + 0*j + 2/5*j**5 + r*j**4 = 0?
-1, 0, 1
Let q(u) = 29*u**2 - 65*u + 31. Let d(n) = 5*n**2 - 11*n + 5. Let x(f) = 34*d(f) - 6*q(f). Solve x(w) = 0 for w.
2
Let j(w) be the first derivative of -2/9*w**3 + 2 + 0*w**4 + 0*w**2 + 1/15*w**5 + 1/3*w. Let j(x) = 0. What is x?
-1, 1
Let x(z) be the first derivative of -1/4*z**4 + 0*z**3 + 1/6*z**6 + 0*z**2 + 3 + 0*z**5 + 0*z. Factor x(j).
j**3*(j - 1)*(j + 1)
Let k be 5/150 + (65/(-75) - -1). Factor 1/6*l**3 - 1/6*l - 1/6*l**2 + k.
(l - 1)**2*(l + 1)/6
Let a(d) be the third derivative of d**6/120 - d**5/12 + d**4/3 - 2*d**3/3 + 13*d**2. Let a(h) = 0. Calculate h.
1, 2
Factor -1/6*u**4 + 2/3*u**2 + 0*u + 0 + 0*u**3.
-u**2*(u - 2)*(u + 2)/6
Let m(v) be the third derivative of -v**5/12 - 5*v**4/12 + 5*v**3/2 - 12*v**2. Suppose m(p) = 0. Calculate p.
-3, 1
Let c(j) be the first derivative of -j**6/4 - 3*j**5/2 + 39*j**4/8 - 7*j**3/2 - 17. Factor c(p).
-3*p**2*(p - 1)**2*(p + 7)/2
Factor 0*k**3 - 56*k**2 - 55 - 9*k**2 + 115*k + 5*k**3.
5*(k - 11)*(k - 1)**2
Let s(i) = -2*i**2 - 3*i - 5. Let g(y) = -y**2 - y - 2. Let p(f) = 10*g(f) - 4*s(f). Solve p(w) = 0 for w.
0, 1
Let s = 2 + 3. Let l(b) be the first derivative of -4/3*b**2 + 5*b**s + 52/9*b**3 - 55/6*b**4 + 0*b + 1. Factor l(d).
d*(3*d - 2)*(5*d - 2)**