0*f**2 + 1/48*f**4 + 0. Let a(t) = 0. Calculate t.
0
Let k(t) = 16*t**3 + 25*t**2 + 2*t - 7. Let x(c) = 11*c**3 + 17*c**2 + c - 5. Let p(d) = -5*k(d) + 7*x(d). Solve p(n) = 0 for n.
-1, 0
Let d be (-2)/(-8) + 30/8. Let c(w) = w**3 - w**2 - w - 1. Let s(p) = 36*p**3 - 36*p**2 - 6*p - 2. Let x(y) = d*c(y) - s(y). Factor x(z).
-2*(z - 1)*(4*z - 1)*(4*z + 1)
Solve 6*o**5 - 5*o**4 + 15*o**2 - 10*o**2 - o**5 - 5*o**3 = 0.
-1, 0, 1
Let y be 0 - (0 + 92/(-28) - -3). Factor -y*t + 0 + 2/7*t**2.
2*t*(t - 1)/7
Let d(m) be the first derivative of -m**3/6 + 3*m**2/8 - m/4 - 6. Find l such that d(l) = 0.
1/2, 1
Let l = -20/303 + 2866/34239. Let d = 105/452 + l. Determine w, given that -1/4*w**3 - d + 1/4*w + 1/4*w**2 = 0.
-1, 1
Let m(u) be the second derivative of 3*u - 1/30*u**4 + 0 - 1/5*u**2 - 2/15*u**3. Find a, given that m(a) = 0.
-1
Determine y so that -5*y**4 + 5*y**2 - 3*y**3 + 20*y - 14*y**3 - 3*y**3 = 0.
-4, -1, 0, 1
Let n(r) be the first derivative of -3 - 1/12*r**3 + 1/4*r**2 + 0*r. Factor n(u).
-u*(u - 2)/4
Let k(g) = -g**3 + 10*g**2 - 9*g + 3. Let p be k(9). Let d(o) be the first derivative of 4/3*o**p - 1/4*o**4 + 2*o - 3 - 5/2*o**2. Solve d(b) = 0.
1, 2
Let b(s) = s - 4. Let r be b(8). Suppose 5*p - r*p = 0. Factor p*x + 0 + 2/3*x**4 + 0*x**3 - 2/3*x**2.
2*x**2*(x - 1)*(x + 1)/3
Suppose -3*j - 1300 = -8*j. Let u be j/84 - (-9)/(-21). Let 2/3*v**5 - 10/3*v + 8/3*v**3 + 4/3*v**2 + 4/3 - u*v**4 = 0. Calculate v.
-1, 1, 2
Let d(y) be the second derivative of 2*y**7/21 - 2*y**6/3 + 3*y**5/5 + 3*y**4 + y + 6. Factor d(z).
4*z**2*(z - 3)**2*(z + 1)
Factor -35*m**2 + 21*m**2 + 17*m**2.
3*m**2
Suppose -20 = -0*z - 4*z. Suppose -2*h = 5*k + h - 40, -32 = -4*k + z*h. Solve 2*a + a**2 - k*a + 6 - 2 + a**2 = 0.
1, 2
Suppose 0 = 5*c - 9*c + 16. Factor 2/5*v**2 - 2/5*v**c - 2/5*v**3 + 0 + 2/5*v**5 + 0*v.
2*v**2*(v - 1)**2*(v + 1)/5
What is l in -16*l + 12*l**2 + 13*l - 12*l**4 - 28*l**3 + 11*l + 20*l**5 = 0?
-1, -2/5, 0, 1
Let r = -9106/17 + 536. Suppose -2/17*s + 0 - r*s**2 = 0. What is s?
-1/3, 0
Let c(k) be the first derivative of k**6/15 - 8*k**5/25 + 3*k**4/10 + 8*k**3/15 - 4*k**2/5 - 23. Let c(a) = 0. Calculate a.
-1, 0, 1, 2
Let f(c) be the second derivative of c**6/120 - c**5/80 - c**4/24 + 10*c. Determine m so that f(m) = 0.
-1, 0, 2
Suppose 0 + 4*z**3 + 2*z + 0*z**4 - 2/3*z**5 - 16/3*z**2 = 0. Calculate z.
-3, 0, 1
Let a(g) = g**3 - 5*g**2 + 2. Let z be -5*((-4)/(-2))/(-2). Let n be a(z). Find f, given that 2 - 2*f**3 - 2*f**2 + f**3 + 4*f - n*f - f**3 = 0.
-1, 1
Let b(i) be the second derivative of -1/195*i**6 - 3*i + 0*i**2 + 1/39*i**4 + 0 - 1/130*i**5 + 0*i**3. Suppose b(o) = 0. What is o?
-2, 0, 1
Suppose -3*n - 5 = 2*n. Let s be (n/1 + 1)*-1. Find o such that -o + s*o + o**4 + o**3 - 2*o**4 + o**2 = 0.
-1, 0, 1
Suppose 0*n + n + 10 = 2*u, -u + 2*n = -11. Factor 4/11*q - 2/11*q**2 + 2/11*q**4 + 0 - 4/11*q**u.
2*q*(q - 2)*(q - 1)*(q + 1)/11
Suppose 0*c + 5*c - 25 = -5*g, 5*g = 5*c - 5. Factor -q**4 - 1 + q**4 - q**4 - q**5 + 2*q**c + 2*q**2 - q.
-(q - 1)**2*(q + 1)**3
Find m such that 18/17*m**2 + 28/17*m**3 + 18/17*m**4 + 4/17*m**5 + 4/17*m + 0 = 0.
-2, -1, -1/2, 0
Factor -2*v**2 + 6*v**2 + 3*v + 8 - 2*v**2 - 11*v.
2*(v - 2)**2
Let i = -5 - -5. Let d(h) be the first derivative of -1/20*h**5 + i*h + 0*h**2 + 1/16*h**4 - 1 + 0*h**3. Factor d(k).
-k**3*(k - 1)/4
Let l(n) be the first derivative of -n**5/180 + n**2/2 + 4. Let z(c) be the second derivative of l(c). Factor z(i).
-i**2/3
Let y be (4/6)/(2/(-12)). Let c be 0/y*1/(-2). Factor c*s**2 - 2/9 + 4/9*s + 2/9*s**4 - 4/9*s**3.
2*(s - 1)**3*(s + 1)/9
Let o(u) be the first derivative of 1/4*u**4 - 1 + 0*u - 1/3*u**3 + 0*u**2. Suppose o(j) = 0. What is j?
0, 1
Factor 47*g**2 - 6*g + 0 - 94*g**2 + 4 + 416*g**3 - 97*g**2.
2*(4*g - 1)**2*(13*g + 2)
Let h(q) be the third derivative of 1/112*q**8 + 0*q**7 + 3/8*q**4 - 1/10*q**6 - 1/10*q**5 + 0 - 5*q**2 + q**3 + 0*q. Suppose h(r) = 0. What is r?
-1, 1, 2
Let d(a) be the third derivative of 4/21*a**3 - 6*a**2 + 0*a - 2/21*a**4 - 1/420*a**6 + 1/42*a**5 + 0. Find y, given that d(y) = 0.
1, 2
Suppose -3*q + 4*q = 4*m + 12, -m - q + 2 = 0. Let w be 2/(-3) - 4/m. Find j such that 14/3*j - 10/3*j**2 - w = 0.
2/5, 1
Let r(c) = 3*c**2 + c. Let w be r(-1). Let j(l) = l**3 + 3*l**2 - 3*l + 3. Let i be j(w). Factor i - 3*z**2 - 17.
-3*z**2
Suppose 0 = 4*d + d. Let v(k) be the third derivative of -1/60*k**5 - 2*k**2 + 0*k + 1/12*k**4 + d - 1/6*k**3. Factor v(y).
-(y - 1)**2
Let w(d) be the first derivative of -d**6/9 + 2*d**5/3 - 7*d**4/6 - 2*d**3/9 + 8*d**2/3 - 8*d/3 + 3. Determine h so that w(h) = 0.
-1, 1, 2
Let z = -229/8 - -3457/120. Let r(u) be the third derivative of 2/15*u**3 + 2/25*u**5 - 3/100*u**6 + 0*u + 2*u**2 + z*u**4 + 0. Suppose r(t) = 0. What is t?
-1/3, 2
Suppose 0*k = -k + 5, 4*z = k + 3. Let s(l) be the second derivative of -1/20*l**4 + 1/10*l**3 + 3/5*l**z + 0 + l. Find d, given that s(d) = 0.
-1, 2
Let f(k) be the third derivative of k**5/60 + 5*k**4/24 + 2*k**3/3 - 8*k**2. Factor f(x).
(x + 1)*(x + 4)
Let x(u) be the third derivative of 0*u**3 - 1/420*u**7 + 0 - 1/30*u**5 - 1/60*u**6 + 3*u**2 + 0*u**4 + 0*u. Let x(t) = 0. Calculate t.
-2, 0
Let f(c) be the first derivative of c**6/36 + c**5/5 + 5*c**4/24 - 26. Factor f(q).
q**3*(q + 1)*(q + 5)/6
Let k(t) be the third derivative of -t**6/40 + 3*t**5/40 - t**4/16 - 9*t**2. Factor k(h).
-3*h*(h - 1)*(2*h - 1)/2
Suppose -5*v - 3 = -p, -7*p = -3*p - 4*v - 12. Let a(c) be the third derivative of 1/30*c**5 + 0*c - 1/12*c**4 + 0 + 0*c**p + c**2. Solve a(r) = 0.
0, 1
Suppose 0 = 9*a - 22 + 4. Let m(o) be the third derivative of 0*o + 1/120*o**5 - a*o**2 - 1/48*o**4 + 0 - 1/6*o**3. Find q, given that m(q) = 0.
-1, 2
Suppose -42*a**2 - 7*a**4 + 6*a**3 + 10*a**4 + 42*a**4 + 12 - 27*a**5 - 15 + 21*a = 0. Calculate a.
-1, 1/3, 1
Determine d, given that -4/5*d + 0 + 2/5*d**4 + 0*d**3 - 6/5*d**2 = 0.
-1, 0, 2
Let y(j) be the first derivative of -j**6/1260 + j**5/140 - j**4/42 + j**3/3 + 8. Let u(m) be the third derivative of y(m). Determine o, given that u(o) = 0.
1, 2
Determine o so that 4/11*o**4 + 4/11 - 8/11*o**2 - 28/11*o**3 + 14/11*o + 14/11*o**5 = 0.
-1, -2/7, 1
Let b = -395/3 + 132. Factor 1/3*v**4 + 0 + v**2 + b*v + v**3.
v*(v + 1)**3/3
Let b(p) be the first derivative of -p**2 - 7*p - 3. Let c be b(-5). Find m, given that 2*m - 4*m + 3*m + m**c + 2*m**2 = 0.
-1, 0
Let c = 5 + -1. Let m be 1*-3*1*-1. Factor t**2 + t + t**c - 2*t**4 - 2*t**m + t**3.
-t*(t - 1)*(t + 1)**2
Let g(y) = 5*y**4 + 3*y**3 - 3*y**2 + 5*y - 6. Let p(s) = s**4 + s**3 + s - 1. Let q(a) = -g(a) + 6*p(a). Determine x, given that q(x) = 0.
-1, 0
Let d(z) be the first derivative of -z**6/24 + 7*z**5/20 - 9*z**4/8 + 5*z**3/3 - z**2 - 56. Suppose d(v) = 0. Calculate v.
0, 1, 2
Let r = -70 + 72. Let h be (-2)/6 + (-4)/(-6). Factor -h*d + 0 - d**3 - d**r - 1/3*d**4.
-d*(d + 1)**3/3
Let r(h) = -h**3 - h + 3. Let b be r(0). Find j, given that 0*j**b - 3*j - 3*j**2 - 1 + 3*j**3 - 4*j**3 = 0.
-1
Let g(j) = j**2 - 10*j - 7. Let u be g(11). Factor 0*o + 0*o**2 - 3/5*o**u - 1/5*o**5 + 0 - 2/5*o**3.
-o**3*(o + 1)*(o + 2)/5
Let -2/11*h + 2/11*h**2 - 4/11 = 0. Calculate h.
-1, 2
Factor -6*t**4 - 511*t + 4 - 3*t**5 + 6*t**2 + 514*t - 4.
-3*t*(t - 1)*(t + 1)**3
Suppose -2*z = 2*w - 1 + 7, -4*z = -4*w - 28. Let a(g) be the second derivative of 0*g**3 + 0*g**2 - 1/50*g**5 + 0 - z*g + 0*g**4. Let a(h) = 0. What is h?
0
Let d be (697/85 + -9)*(-6 - -1). Find b such that 0 + 0*b**3 - 6/7*b**2 + 2/7*b**d - 4/7*b = 0.
-1, 0, 2
Determine b, given that -2/3*b**5 + 4*b**3 - 2/3*b**4 + 8/3*b**2 - 16/3*b + 0 = 0.
-2, 0, 1, 2
Let r(m) be the second derivative of m**8/4200 + m**7/700 + m**6/300 + m**5/300 - m**3/6 - 3*m. Let c(w) be the second derivative of r(w). Factor c(g).
2*g*(g + 1)**3/5
Let p(u) be the second derivative of 0*u**2 + 1/30*u**5 + 2*u - 1/18*u**4 + 0*u**3 + 0. Find f, given that p(f) = 0.
0, 1
Let o(w) be the third derivative of -w**6/840 - w**5/210 + w**4/168 + w**3/21 + 12*w**2. Factor o(g).
-(g - 1)*(g + 1)*(g + 2)/7
Let y(r) be the first derivative of 1/27*r**6 - 2/45*r**5 - 1/18*r**4 + 5 + 0*r**2 + 2/27*r**3 + 0*r. Factor y(u).
2*u**2*(u - 1)**2*(u + 1)/9
Let c(u) = -u + 12. Let q be c(9). Factor -5*r**2 - 8 + 3*r + q*r**2 + 3*r + 2