- 42/65*f**6 + f - 4/39*f**3 - 7/39*f**7 - 109/130*f**5 - 6/13*f**4. Solve x(m) = 0.
-1, -2/7, 0
Let j(r) be the second derivative of -r**8/1176 + r**6/420 - 3*r**2/2 - 5*r. Let u(h) be the first derivative of j(h). Let u(v) = 0. Calculate v.
-1, 0, 1
Let p(u) be the second derivative of -u**5/120 + 11*u. Suppose p(i) = 0. Calculate i.
0
Let d = -304 + 914/3. Factor -d + 2/3*h**2 + 2/3*h - 2/3*h**3.
-2*(h - 1)**2*(h + 1)/3
Factor -1/4*w**4 + 3/4*w**2 - 1 + 1/2*w**3 - w.
-(w - 2)**2*(w + 1)**2/4
Let w(a) = a**3 - 9*a**2 + 8*a + 4. Let r be w(8). Let q be 2/(-5) + (-15)/(-25). Find y such that -q*y**r - 1/5*y**2 + 0*y + 0 + 2/5*y**3 = 0.
0, 1
Let y(r) = -22*r**3 + 10*r**3 - 7*r**2 + 4*r**4 - 2*r**2 - r**2. Let l(o) = 3*o**4 - 11*o**3 - 9*o**2. Let q(a) = -6*l(a) + 5*y(a). Find z, given that q(z) = 0.
-2, -1, 0
Suppose 0 = 6*b - 3*b. What is i in -i**5 - i**2 + i**4 + b*i**4 + 2*i**3 - i**3 = 0?
-1, 0, 1
Let d(h) = -7*h**2 + 69*h - 324. Let z(x) = 8*x**2 - 68*x + 324. Let a(l) = 4*d(l) + 3*z(l). Solve a(w) = 0.
9
Suppose 5*c + 28 = -3*r + 6, 5*r = -3*c - 26. Let y be 3/r - 22/(-8). What is s in 3*s - 3*s + 2*s**y + 0*s**2 = 0?
0
Let -2/9*u**2 - 4/9*u - 2/9 = 0. Calculate u.
-1
Suppose 5*f = 5*m - 15, 3*m - 5*f - 11 = -0*m. Find j such that -6*j + 4*j**2 - 2*j**2 + 4 + 0*j**m = 0.
1, 2
Let h(j) be the third derivative of -j**6/1020 - j**5/510 + j**4/102 + 28*j**2. Factor h(v).
-2*v*(v - 1)*(v + 2)/17
Suppose 52*g**2 - 35*g**4 + 46*g - 100*g**5 - 145*g**4 + 92*g**2 - 14*g + 104*g**3 = 0. What is g?
-2, -2/5, 0, 1
Let m(g) be the first derivative of 0*g - 3 + 0*g**2 - 1/8*g**4 + 1/12*g**3 + 1/20*g**5. Suppose m(k) = 0. Calculate k.
0, 1
Let m(u) be the first derivative of -1/27*u**6 - 2 + 0*u + 0*u**2 + 2/27*u**3 - 1/6*u**4 + 2/15*u**5. Factor m(y).
-2*y**2*(y - 1)**3/9
Let l = -78/5 - -254/15. Let w = l + -1. Factor -g - 2/3*g**2 + 2/3*g**3 - 1/3 + g**4 + w*g**5.
(g - 1)*(g + 1)**4/3
Suppose -5 = d - 2*j, 5*d = -5*j + 37 - 2. Factor 0*a**3 + 0*a - 3*a + 0 - 2 + a**d.
(a - 2)*(a + 1)**2
Let v(h) = h**3 - h**2. Let s be v(2). Suppose -10 + s = -2*w. Determine o, given that 4*o**2 + 0*o**2 - 8*o**4 - 6*o**w + 6*o - 2*o**2 - 2 + 8*o**2 = 0.
-1, 1/4, 1
Let k(p) be the first derivative of 0*p**3 + 0*p**4 + 1 + 0*p**2 + 1/90*p**5 - 2*p. Let y(i) be the first derivative of k(i). Find v, given that y(v) = 0.
0
Factor 12*u + 3*u**3 + 4 - 3 - 1 + 15*u**2.
3*u*(u + 1)*(u + 4)
Let g(l) be the third derivative of -l**7/280 + l**5/80 - 3*l**2 - 17. Factor g(h).
-3*h**2*(h - 1)*(h + 1)/4
Let p(c) be the third derivative of c**5/120 + c**4/48 + 6*c**2. Let p(x) = 0. What is x?
-1, 0
Let k(a) be the third derivative of 3/5*a**5 + 1/8*a**6 + a**3 + 9/8*a**4 + 0*a + 0 - a**2. Factor k(o).
3*(o + 1)**2*(5*o + 2)
Let o = 3 + 0. Factor 2*d**o - 3*d**3 + 2*d**2 - d**3.
-2*d**2*(d - 1)
Let c = 593/2 + -290. Let j = -5 + c. Factor -1 + j*i + 5/2*i**2.
(i + 1)*(5*i - 2)/2
Let u(w) = w**3 - w - 3. Let d(m) = -m**3 + m + 7. Let c(j) = -3*d(j) - 7*u(j). Factor c(s).
-4*s*(s - 1)*(s + 1)
Let v = 35521/80 + -444. Let l(r) be the second derivative of 0*r**2 + v*r**5 - r - 1/24*r**4 + 0 + 1/24*r**3. Let l(p) = 0. What is p?
0, 1
Let b(t) = -t**2 + 4*t - 3. Let h be b(3). Suppose h*z = 5*z. Determine k so that 2/3*k + z + 5/3*k**3 + 7/3*k**2 = 0.
-1, -2/5, 0
Let h(f) be the third derivative of f**7/210 - f**6/180 - 7*f**5/480 - f**4/96 - 7*f**3/6 + 6*f**2. Let n(k) be the first derivative of h(k). Factor n(y).
(y - 1)*(4*y + 1)**2/4
Solve -3/5*q**3 + 0 + 6/5*q - 3/5*q**2 = 0 for q.
-2, 0, 1
Solve -1/6*v**5 + 0 - 1/3*v**2 + 0*v**4 + 1/2*v**3 + 0*v = 0.
-2, 0, 1
Let q = 79/1695 - 3/226. Let d(n) be the second derivative of -q*n**6 + 0*n**2 + 0*n**4 + n + 0 - 1/20*n**5 + 0*n**3. Factor d(b).
-b**3*(b + 1)
Let t(x) = 3*x**4 + 4*x**3 - 7*x**2 - 4. Let q(v) = v**3 - v**2 - 1. Let b(m) = -4*q(m) + t(m). Factor b(n).
3*n**2*(n - 1)*(n + 1)
Let z(n) be the second derivative of n**8/1890 - n**7/3780 - n**3/2 - 4*n. Let b(q) be the second derivative of z(q). Determine h, given that b(h) = 0.
0, 1/4
Let r(f) be the first derivative of 4*f**5 - 25*f**4/4 + 5*f**3/3 - 27. Solve r(y) = 0 for y.
0, 1/4, 1
Suppose 14/3*m**3 + 160/3*m - 128/3 - 24*m**2 - 1/3*m**4 = 0. Calculate m.
2, 4
Let z be ((-1)/2)/(2/(-4)). Let p be 0 + 2*z/8. Factor m**2 + 0 + 0*m + p*m**4 + m**3.
m**2*(m + 2)**2/4
Let f(u) = 2*u + 2. Let w be f(4). Suppose 0 = 2*z + 3*z - w. Find x, given that 28/5*x**4 + 22/5*x + 48/5*x**z + 4/5 + 6/5*x**5 + 52/5*x**3 = 0.
-1, -2/3
Let y(m) be the third derivative of -m**5/300 - m**4/10 - 11*m**3/30 - 40*m**2 + 2. Factor y(c).
-(c + 1)*(c + 11)/5
Let p(w) be the third derivative of -1/420*w**7 - 1/40*w**6 - 1/4*w**4 + 2*w**2 - 1/3*w**3 + 0 + 0*w - 13/120*w**5. Factor p(j).
-(j + 1)**2*(j + 2)**2/2
Let w(r) be the third derivative of 27*r**6/320 - 3*r**5/160 - 5*r**4/16 - r**3/4 - 31*r**2. Solve w(p) = 0 for p.
-2/3, -2/9, 1
Let x(z) = 2*z**2 - 3*z - 2. Let j(y) = -10*y**2 + 16*y + 10. Let l(p) = 3*j(p) + 16*x(p). Solve l(f) = 0.
-1, 1
Let x(c) be the second derivative of -c**7/56 - c**6/10 - 3*c**5/80 + 5*c**4/8 + c**3/2 - 3*c**2 - 7*c. Solve x(a) = 0 for a.
-2, 1
Let o = -326 + 1636/5. Factor -2*w**2 + o*w + 18/5 + 2/5*w**3.
2*(w - 3)**2*(w + 1)/5
Let c be (16/(-18))/((-10)/270*6). Determine b, given that -4/11*b**2 + 10/11*b**c - 12/11*b**3 - 6/11 + 14/11*b - 2/11*b**5 = 0.
-1, 1, 3
Let h(j) = 5*j**4 - 5*j**2. Let w(i) = 2*i**4 - 2*i**2. Let c(v) = -3*h(v) + 7*w(v). What is m in c(m) = 0?
-1, 0, 1
Suppose 4*t - 67 = -5*k + t, 0 = -5*k + 5*t + 35. Let z = 16 - k. Factor -x**2 + 0*x**3 - x**4 + 3*x**3 - 6*x**3 - x**z - 2*x**4.
-x**2*(x + 1)**3
Let j(v) = v**5 + v**4 - v**2 - v + 1. Let t(i) = 10*i**5 + 6*i**4 - 6*i**3 + 2*i**2 - 12*i + 8. Let h(x) = -8*j(x) + t(x). Factor h(z).
2*z*(z - 1)**3*(z + 2)
Suppose -2*f = -g - f + 1, 5 = -5*f. Suppose 0 = d + 5, 0 = 5*z - g*d + d - 20. Factor u + 2*u**3 + 0*u**z + u**5 - 4*u**3.
u*(u - 1)**2*(u + 1)**2
Let d be -9*(16/12 - 2). Suppose 3*t - 3*q + d - 15 = 0, 0 = -4*t + 2*q + 6. Determine m so that -1/2 + 1/2*m**2 + t*m = 0.
-1, 1
Let b(s) be the third derivative of -1/30*s**5 + 0*s + 0*s**4 + 0 + 0*s**6 + 3*s**2 + 1/105*s**7 + 0*s**3. Factor b(q).
2*q**2*(q - 1)*(q + 1)
Let l(j) be the second derivative of 0 + 0*j**3 - 3/20*j**5 - j + 1/14*j**7 - 1/4*j**4 + 0*j**2 + 1/10*j**6. Let l(f) = 0. Calculate f.
-1, 0, 1
Suppose 47*f - 40*f = 0. Factor 0*c + 1/3*c**5 + 0 + f*c**4 + 0*c**2 - 1/3*c**3.
c**3*(c - 1)*(c + 1)/3
Let d = -2 + 2. Let r be d/8 - (-16)/14. Factor -8/7 - r*a - 2/7*a**2.
-2*(a + 2)**2/7
Factor -1/4*i**2 - 9/4 + 3/2*i.
-(i - 3)**2/4
Suppose -2*d = 4*o - 22, -7*o + 15 = d - 4*o. Find b, given that -1 + 2*b**2 - b**4 + 3/2*b**5 + 3/2*b - d*b**3 = 0.
-1, 2/3, 1
Let o(q) be the third derivative of -q**8/2240 + q**6/80 - q**5/20 - q**4/24 - 3*q**2. Let i(h) be the second derivative of o(h). What is c in i(c) = 0?
-2, 1
Let t = -1 + 1. Let w(o) = -o**3 + 21*o**2 + 21*o + 24. Let x be w(22). Factor 0*s**x + 2/7*s**3 - 2/7*s + t.
2*s*(s - 1)*(s + 1)/7
Let z = 976 - 3903/4. Factor 1/4*j**3 + 1/8 - 1/8*j**4 + 0*j**2 - z*j.
-(j - 1)**3*(j + 1)/8
Let d(b) be the third derivative of -b**6/600 + b**5/75 - b**4/24 + b**3/15 - 22*b**2. Determine v, given that d(v) = 0.
1, 2
Let n(f) be the second derivative of f**4/36 + 2*f**3/9 + 2*f**2/3 + 6*f. Factor n(w).
(w + 2)**2/3
Let p(r) = r**4 - r**3 + r**2 - r. Let m(i) = 14*i**4 + 8*i**3 + 22*i**2 - 4*i. Let d(b) = -m(b) + 8*p(b). Suppose d(a) = 0. What is a?
-1, -2/3, 0
Let g(q) be the third derivative of -q**7/336 - q**6/160 + q**5/40 + q**4/8 + 7*q**2. Let p(j) be the second derivative of g(j). Factor p(n).
-3*(n + 1)*(5*n - 2)/2
Suppose 8*q - 5*q = 6. Factor 2/9*j**q - 2/9 - 2/9*j**3 + 2/9*j.
-2*(j - 1)**2*(j + 1)/9
Let h(g) be the third derivative of 0*g + 1/120*g**5 + 1/48*g**4 - 3*g**2 + 0 + 0*g**3. Determine z, given that h(z) = 0.
-1, 0
Let k be -12*(-1 - (-1)/2). Let w = k - 4. Factor 0 - 1/2*z + 1/2*z**w + 1/2*z**3 - 1/2*z**4.
-z*(z - 1)**2*(z + 1)/2
Let w(d) be the third derivative of -1/6*d**3 - 3*d**2 + 1/24*d**4 + 0 + 0*d + 1/30*d**5. Factor w(i).
(i + 1)*(2*i - 1)
Let h = -64 - -66. Suppose -4*g - 3*p = -2*p - 5, -15 = -5*g - 3*p. Factor g*z - 6/5*z**3 + 0 - 6/5*z**4 - 2/5*z**h - 2/5*z