 -4*z + 4 = -2*z. Suppose -m = -5 + z. Factor 2*s + m*s**3 - 4*s - s**3.
2*s*(s - 1)*(s + 1)
Determine z so that -9/8 + 9*z**2 - 3/8*z = 0.
-1/3, 3/8
Let c(a) be the second derivative of a**7/294 + a**6/70 + 3*a**5/140 + a**4/84 - 20*a. Factor c(n).
n**2*(n + 1)**3/7
Suppose 19*i**5 - 2 + 11*i + 13*i**4 + 26*i**5 - 11*i**2 - 7*i**3 - 49*i**5 = 0. Calculate i.
-1, 1/4, 1, 2
Factor 4/13*w + 2/13*w**2 + 0.
2*w*(w + 2)/13
Factor -27/5 + 18/5*y - 3/5*y**2.
-3*(y - 3)**2/5
Let c = -768/7 - -110. Solve -c*s**3 - 2/7 + 2/7*s**2 + 2/7*s = 0.
-1, 1
Let a(b) be the first derivative of 0*b - 1 + 2*b**2 - 1/2*b**4 - 2/3*b**3. Find k, given that a(k) = 0.
-2, 0, 1
Determine h so that -3*h**5 - h**4 + 3 - 8*h**4 - 3*h**3 + 9*h - 3*h**3 - 2*h**2 + 8*h**2 = 0.
-1, 1
Suppose 56 = 3*v - 61. Suppose -2*j + 15 = 3*p + j, v = 3*p - 5*j. Factor 0*y**2 - 2 - 2*y**2 + 10*y + p*y**2 - 2.
2*(y + 2)*(3*y - 1)
Let k(i) be the second derivative of -10*i**7/63 + 28*i**6/45 - 7*i**5/15 - 2*i**4/9 - 29*i. Find z, given that k(z) = 0.
-1/5, 0, 1, 2
Let b(q) = q + 4. Let x be b(-6). Let d be 20/14*(-4)/x. Factor 2/7*u**5 + d*u**3 - 2/7 - 10/7*u**4 - 20/7*u**2 + 10/7*u.
2*(u - 1)**5/7
Let s(o) be the second derivative of o**4/60 - o**3/5 + 9*o**2/10 + 4*o. What is j in s(j) = 0?
3
Let y = -2/675 + 152/675. Determine h so that -y*h**2 + 4/9 + 2/9*h = 0.
-1, 2
Let p(g) be the second derivative of -g**6/25 + 9*g**5/100 + g**4/20 - 3*g**3/10 + 3*g**2/10 + 6*g. Find y, given that p(y) = 0.
-1, 1/2, 1
Let h(p) = 4*p**3 + 12*p**2. Let q(w) = -4*w**3 - 11*w**2 - w. Let d(l) = 3*h(l) + 4*q(l). Factor d(o).
-4*o*(o + 1)**2
Let z(p) be the first derivative of 0*p**4 + 0*p + 0*p**3 + 2 + 0*p**2 + 1/5*p**5. Factor z(n).
n**4
Let d(m) be the second derivative of 2*m**6/15 - m**5 + 7*m**4/3 - 2*m**3 - 12*m. Determine h so that d(h) = 0.
0, 1, 3
Let n(m) be the second derivative of -m**5/4 - 7*m**4/12 + 4*m**3/3 + 2*m**2 - 10*m. Determine g so that n(g) = 0.
-2, -2/5, 1
Let k be 0/(6/(-2) + 2). Suppose -x - x + 26 = k. Suppose -x*m**2 - 5*m**4 - 2/3 + 5*m + 41/3*m**3 = 0. What is m?
1/3, 2/5, 1
Let a(y) be the third derivative of y**8/1008 - y**7/315 - y**6/120 + 2*y**5/45 - y**4/18 + 9*y**2. Factor a(f).
f*(f - 2)*(f - 1)**2*(f + 2)/3
Factor -3/2*k**5 + 0 + 0*k + k**3 + 0*k**2 - 1/2*k**4.
-k**3*(k + 1)*(3*k - 2)/2
Find t such that 48/5 - 24/5*t + 3/5*t**2 = 0.
4
Let p(n) be the second derivative of -1/6*n**4 + 0*n**3 + 0 + 1/14*n**7 + 0*n**2 - n - 1/20*n**5 + 2/15*n**6. Suppose p(k) = 0. Calculate k.
-1, 0, 2/3
Let u(j) = -j**3 - 8*j**2 + 9*j - 3. Let b be u(-9). Let t be (-1 - b/(-9)) + 2. Let 0 + 2/3*f**2 + t*f = 0. Calculate f.
-1, 0
Let r(c) be the first derivative of -1/24*c**4 - c**2 + 1/3*c**3 - 2*c + 1. Let f(p) be the first derivative of r(p). Factor f(t).
-(t - 2)**2/2
Suppose 0 = -0*p - 5*p. What is u in 4/3*u**2 + 2/3*u + 2/3*u**3 + p = 0?
-1, 0
Let n(r) = 2*r**2 + 7*r - 4. Let c(u) = -u**2 - 8*u - 6. Let x be c(-6). Let l(y) = 2*y**2 + 8*y - 4. Let g(t) = x*n(t) - 5*l(t). Factor g(h).
2*(h - 1)*(h + 2)
Let n be (1 - 10/14)*7. Find o, given that 8*o**3 - 6*o**3 + 7*o**3 + 6*o**3 - 9*o**4 - 6*o**n = 0.
0, 2/3, 1
Let f(i) be the third derivative of i**7/7560 - i**6/2160 - i**5/180 - i**4/12 - 2*i**2. Let y(v) be the second derivative of f(v). Factor y(g).
(g - 2)*(g + 1)/3
Let s(w) be the third derivative of -w**8/168 - 2*w**7/105 + 11*w**6/60 + 2*w**5/5 - 3*w**4 - 29*w**2. Determine n so that s(n) = 0.
-3, 0, 2
Let b(n) be the second derivative of -1/20*n**5 + 0*n**2 + 0 + 5*n + 1/12*n**3 + 1/24*n**4. Factor b(t).
-t*(t - 1)*(2*t + 1)/2
Let m(c) be the second derivative of 5*c + 3/40*c**5 + 0*c**2 - 5/24*c**4 + 0 + 1/6*c**3. Factor m(i).
i*(i - 1)*(3*i - 2)/2
Let l(j) be the third derivative of 3*j**7/140 - j**6/80 - 9*j**5/40 + 9*j**4/16 - j**3/2 + 3*j**2. Solve l(o) = 0 for o.
-2, 1/3, 1
Let b = -7/45 + 229/315. Determine f, given that -2/7*f**3 + 0*f**2 + 6/7*f + b = 0.
-1, 2
Suppose -6 = -c - c. Factor 0*j + 3/4*j**4 - j**c + 1/4*j**2 + 0.
j**2*(j - 1)*(3*j - 1)/4
Let y(j) be the first derivative of -j**3/15 + 3*j**2/10 - 2*j/5 + 30. Factor y(z).
-(z - 2)*(z - 1)/5
Let k(m) be the third derivative of m**8/84 + 2*m**7/5 + 49*m**6/10 + 343*m**5/15 - 13*m**2. Factor k(s).
4*s**2*(s + 7)**3
Let z be (-5)/30*7*(-8)/14. Let q(y) be the second derivative of 4/3*y**3 + z*y**4 + 0 + 1/10*y**5 + 0*y**2 + y. What is a in q(a) = 0?
-2, 0
Let k(c) be the second derivative of c**6/1800 + c**5/300 - c**4/40 + c**3 - 6*c. Let r(t) be the second derivative of k(t). Let r(d) = 0. Calculate d.
-3, 1
Let i(w) be the first derivative of w**6/6 - w**5/5 + 6. Let i(l) = 0. Calculate l.
0, 1
Let l(f) = 5*f**2 + 12*f. Let d(c) = 10*c**2 + 25*c. Let q(a) = 2*d(a) - 5*l(a). Factor q(z).
-5*z*(z + 2)
Factor 0 - o - 3/2*o**2 + 9/2*o**3.
o*(3*o - 2)*(3*o + 1)/2
Factor -1/3*u**2 - 4/3 - 4/3*u.
-(u + 2)**2/3
Let m(n) = -n**2 - 1. Let p(g) = -12*g**2 - 2*g - 3. Let c(z) = -22*m(z) + 2*p(z). Suppose c(a) = 0. What is a?
-4, 2
Let k be (1/1)/((-3)/(-12)). Let f(r) be the first derivative of -1/4*r**k + 5/9*r**3 - 2 - 1/3*r**2 + 0*r. Let f(y) = 0. What is y?
0, 2/3, 1
Let f(s) be the first derivative of s**7/21 + 2*s**6/15 + s**5/10 - 5*s + 3. Let j(m) be the first derivative of f(m). Factor j(y).
2*y**3*(y + 1)**2
Let j(h) be the first derivative of -2 + 2 + h**3 + 2 + h**2. Determine x, given that j(x) = 0.
-2/3, 0
Let p(o) be the first derivative of -o**4/6 - 2*o**3/9 + 2*o**2/3 - 3. Suppose p(y) = 0. Calculate y.
-2, 0, 1
Let r(l) = -1. Let i(u) = -4*u**2 - 16*u - 20. Let x(p) = i(p) - 4*r(p). Suppose x(n) = 0. Calculate n.
-2
Let l = -1/6 - -11/30. Find z, given that l + 1/5*z - 1/5*z**3 - 1/5*z**2 = 0.
-1, 1
Let p be 2/(-2) - 0/(-1). Let s(q) = -2*q**5 + 2*q**4 + 6*q**3 + 2*q**2. Let x(f) = -7*f**2 + f**5 + 7*f**2 + f**4. Let r(w) = p*s(w) - 4*x(w). Factor r(c).
-2*c**2*(c + 1)**3
Let n be (4/5)/((-16)/(-40)). Let g(j) = -j - 1. Let m be g(-3). Determine z so that -z - 3*z + 2*z**n + m*z = 0.
0, 1
Find n such that 5*n**3 + 3*n + 0*n**2 + 3*n**2 + 3*n**2 - 2*n**3 = 0.
-1, 0
Let o = 191 - 946/5. Suppose 9/5*h**3 + 0*h + 3/5*h**2 + 0 + o*h**4 + 3/5*h**5 = 0. Calculate h.
-1, 0
Let k be (111/(-171))/(15/(-18)). Let d = k - -2/95. Factor 0 + 2/5*a**2 + d*a - 2/5*a**3.
-2*a*(a - 2)*(a + 1)/5
Let w be (-46)/(-3) - 16/(-24). Factor -14*u + 6*u - 2*u**4 - 6*u**3 - 4*u**3 - w*u**2.
-2*u*(u + 1)*(u + 2)**2
Let l be 18/(-12)*4/(-9). Factor -l*b + 1/3 + 1/3*b**2.
(b - 1)**2/3
Let h(m) be the first derivative of 4*m**4/17 + 52*m**3/51 + 23*m**2/17 + 12*m/17 - 43. Solve h(v) = 0 for v.
-2, -3/4, -1/2
Let a = -3 + 6. Let q(z) be the first derivative of 1 + 0*z + 0*z**2 + 2/15*z**a. Suppose q(k) = 0. Calculate k.
0
Let f(m) be the first derivative of 0*m + 0*m**2 + 2/15*m**3 - 4. Let f(l) = 0. Calculate l.
0
Let v(z) be the first derivative of 2/7*z**2 + 2 - 2/5*z**5 + 0*z - 22/21*z**3 + 8/7*z**4. Factor v(w).
-2*w*(w - 1)**2*(7*w - 2)/7
Factor -4/3*k + 14/3*k**2 - 8/3*k**3 - 2/3.
-2*(k - 1)**2*(4*k + 1)/3
Let y(j) be the third derivative of 3*j**2 + 1/6*j**3 + 1/120*j**5 + 1/16*j**4 + 0 + 0*j. Factor y(i).
(i + 1)*(i + 2)/2
Let g(o) be the second derivative of o**7/540 + 2*o**6/135 + o**5/45 + o**4/12 + 3*o. Let y(n) be the third derivative of g(n). Find z, given that y(z) = 0.
-2, -2/7
Let a(o) be the second derivative of -o**7/105 + o**6/75 + o**5/25 - o**4/15 - o**3/15 + o**2/5 + 9*o. Factor a(v).
-2*(v - 1)**3*(v + 1)**2/5
Let h(n) = -n**5 + n**4 - n**3 - n**2 + n - 1. Let g(o) = 10*o**5 - 5*o**4 + 7*o**3 - 3*o**2 + 9. Let l(y) = 2*g(y) + 18*h(y). Suppose l(m) = 0. Calculate m.
-3, 0, 1
Suppose 4/9*n**3 + 2/9*n**4 + 0*n + 0 + 0*n**2 = 0. Calculate n.
-2, 0
Let w = 393 - 390. Determine s, given that 48/5*s**2 - 64/5*s + 2/5*s**4 + 32/5 - 16/5*s**w = 0.
2
Let j(r) be the third derivative of -r**9/332640 - r**8/36960 + r**6/990 + r**5/20 + r**2. Let t(d) be the third derivative of j(d). Find b such that t(b) = 0.
-2, 1
Let x = 232/4191 + 2/381. Let b(a) be the third derivative of 1/165*a**5 - x*a**3 - 1/132*a**4 + 0*a + 1/660*a**6 - 4*a**2 + 0. Solve b(j) = 0 for j.
-2, -1, 1
Let f(v) be the third derivative of -1/120*v**6 + 0 - 5*v**2 + 0*v**5 + 1/24*v**4 + 0*v**3 + 0*v. Factor f(b).
-b*(b - 1)*(b + 1)
Let h be (-145