+ 10*z**2 + 5*z + 3*z**3 = 0. What is z?
-1, 1, 2
Let w(z) be the second derivative of 1/14*z**7 + 0*z**3 - 3/20*z**5 + 3*z + 0 - 1/4*z**4 + 1/10*z**6 + 0*z**2. Factor w(q).
3*q**2*(q - 1)*(q + 1)**2
Let s(f) be the first derivative of f**4/16 - f**3/12 - f**2/4 + 9. Suppose s(v) = 0. Calculate v.
-1, 0, 2
Let q be (3/(-54))/(3/9 - 1). Let w(l) be the second derivative of 1/8*l**2 - l + 1/48*l**4 - q*l**3 + 0. Factor w(r).
(r - 1)**2/4
Let p be -4*((-5)/9 + (-20)/(-90)). Factor -2/3*v**3 + 2/3*v - p*v**2 + 4/3.
-2*(v - 1)*(v + 1)*(v + 2)/3
Let x(u) be the third derivative of -u**6/48 - u**5/24 - 23*u**2. Factor x(y).
-5*y**2*(y + 1)/2
Factor 4*v**2 - 3*v**2 + 6 - 4*v - 3*v + 0.
(v - 6)*(v - 1)
Let y(s) = -s**4 - s. Let x(h) = -3*h**4 - 6*h**2 - h. Let m(v) = -4*v - 2. Let g be m(-1). Let w(a) = g*x(a) - 10*y(a). Suppose w(q) = 0. What is q?
-2, 0, 1
Let z = -41 + 46. Let c(v) be the first derivative of -1/2*v**2 - 1 - v**3 + 0*v**4 + 0*v + 4/5*v**z. Suppose c(b) = 0. Calculate b.
-1/2, 0, 1
Let v(b) = -b**3 + 4*b**2 - b - 3. Let f be v(3). Solve -4*h - 5*h**3 + 7*h**f + 2*h = 0.
-1, 0, 1
Let c be 2/(-11) + (-4)/(-22). Let p(h) be the second derivative of -2*h - h**2 + c - 1/6*h**4 + 2/3*h**3. Factor p(n).
-2*(n - 1)**2
Suppose 2*a + 4*t = -4, a + 4*a + 3*t - 18 = 0. Let u be a*(0 + (-1)/(-2)). Suppose 10*y**4 + 6*y**3 - 6*y**u + 4*y**3 - 10*y**2 - 4*y = 0. Calculate y.
-1, -2/5, 0, 1
Let o be 3 + 66/(-39) + -1. Factor o*d**3 + 0 - 2/13*d**4 + 0*d + 0*d**2.
-2*d**3*(d - 2)/13
Let r(g) be the first derivative of g**6/45 + g**5/15 + g**4/18 + 2*g + 4. Let z(u) be the first derivative of r(u). Factor z(o).
2*o**2*(o + 1)**2/3
Let g be 27/(-18) + 3/2. Let n = g - -2. Factor 0*u + 1/4*u**5 - 1/4*u**3 - 1/4*u**4 + 0 + 1/4*u**n.
u**2*(u - 1)**2*(u + 1)/4
Let j(f) be the first derivative of f**5 + 5*f**4/4 - 10*f**3/3 - 22. Let j(v) = 0. Calculate v.
-2, 0, 1
Let b(p) be the third derivative of -1/48*p**4 + 0*p**3 - p**2 + 0*p + 0 - 1/120*p**5. Determine c so that b(c) = 0.
-1, 0
Let p be -8*(2/(-8) - 0). Suppose -l = t - 3, 8 - 23 = p*l - 5*t. Factor l - 1/4*g + 0*g**4 - 1/4*g**5 + 1/2*g**3 + 0*g**2.
-g*(g - 1)**2*(g + 1)**2/4
Let o(i) = -3*i**4 + 3*i**3 + 29*i**2 - 45*i + 16. Let y(t) = 4*t**4 - 4*t**3 - 44*t**2 + 68*t - 24. Let x(w) = -8*o(w) - 5*y(w). Factor x(q).
4*(q - 1)**3*(q + 2)
Let c(i) be the first derivative of 2*i**3/21 + 4*i**2/7 + 8*i/7 + 3. What is g in c(g) = 0?
-2
Let b be 1/(63*-2)*-2. Let s(h) be the second derivative of b*h**7 - 1/9*h**4 + 0*h**5 + 0*h**2 + 2*h - 1/9*h**3 + 0 + 2/45*h**6. Let s(f) = 0. What is f?
-1, 0, 1
Let y(x) = 13*x**2 - 20*x - 4. Let g(h) = -3*h**2 + 5*h + 1. Let w(s) = 9*g(s) + 2*y(s). Let v be w(4). What is o in o**5 + 3*o**4 - o**4 + o**v = 0?
-1, 0
Let s = 3/25 + 16/75. Let w(o) be the third derivative of 0 + 1/12*o**4 - s*o**3 + 1/30*o**5 + 0*o - 2*o**2 - 1/60*o**6. Suppose w(b) = 0. What is b?
-1, 1
Suppose -2*i + 2*l = -4 - 2, 3*i - 12 = 4*l. Let f(o) be the second derivative of 0*o**3 - 1/45*o**6 + 0 + i*o**2 - 1/18*o**4 - 1/15*o**5 - 3*o. Factor f(w).
-2*w**2*(w + 1)**2/3
Factor 3/2 + 9/2*j**2 - 9/2*j - 3/2*j**3.
-3*(j - 1)**3/2
Let b(l) = -3*l - 4. Let o be b(-2). Find v, given that 1 - 5*v**2 + 8 + 3*v**3 - 3*v - 3 - v**o = 0.
-1, 1, 2
Let i(o) be the second derivative of -1/5*o**2 + 3*o + 2/15*o**3 - 1/30*o**4 + 0. Let i(q) = 0. Calculate q.
1
Let g be 4/(-42)*-3 + 102/(-357). Let h be 10/(-36) - (-1)/2. Solve g + 0*o**2 - 2/9*o + h*o**3 = 0.
-1, 0, 1
Let g(n) = n**3 + n**2 - n - 1. Let b be g(-1). Solve a**4 + 0*a**4 + b*a**2 - a**2 + 0*a**4 = 0.
-1, 0, 1
Let y(b) be the second derivative of -b**6/1080 + b**3/6 + 2*b. Let a(q) be the second derivative of y(q). Factor a(p).
-p**2/3
Let n(t) be the third derivative of 7*t**2 - 1/120*t**6 + 1/30*t**5 + 0 + 1/24*t**4 + 0*t - 1/3*t**3. Factor n(l).
-(l - 2)*(l - 1)*(l + 1)
Let i(v) be the first derivative of v**5/30 - v**4/18 - 4*v + 4. Let a(m) be the first derivative of i(m). Factor a(l).
2*l**2*(l - 1)/3
Let p = 8 + -4. Let w(x) be the first derivative of -1/16*x**p + 1/4*x**2 + 0*x + 1 - 1/12*x**3. Determine c, given that w(c) = 0.
-2, 0, 1
Let q(o) be the third derivative of o**5/390 - o**4/52 + o**2. Factor q(d).
2*d*(d - 3)/13
Let y(i) = 6*i**2 + 6. Suppose 0 = -5*n + 2*m - 7, 5*m + 23 = -4*n - 9. Let q(d) = 5*d**2 + d + 5. Let o(x) = n*y(x) + 4*q(x). Solve o(p) = 0 for p.
-1
Let p(x) be the second derivative of 7/24*x**4 - 1/2*x**2 - 5/12*x**3 + 0 - 2*x. Let p(g) = 0. Calculate g.
-2/7, 1
Let p(s) be the third derivative of -s**5/30 - 5*s**4/6 - 25*s**3/3 - 11*s**2. Factor p(f).
-2*(f + 5)**2
Let c(v) be the third derivative of -11/96*v**4 + 0 + 1/6*v**6 + 0*v - 1/30*v**5 + 7*v**2 + 1/12*v**3. Factor c(f).
(4*f - 1)**2*(5*f + 2)/4
Let q(w) be the third derivative of w**6/15 - w**4/4 - w**3/3 + w**2. Factor q(m).
2*(m - 1)*(2*m + 1)**2
Let f(x) be the first derivative of 0*x**5 + 0*x**2 + 0*x + 9/8*x**4 - 1/4*x**6 + x**3 - 3. Suppose f(w) = 0. Calculate w.
-1, 0, 2
Let n(r) be the first derivative of 8*r**5/35 - 5*r**4/14 + 2*r**3/21 + 2. Suppose n(b) = 0. What is b?
0, 1/4, 1
Let r = 29 + -23. Let w(b) = -b**3 + 6*b**2 - b + 9. Let k be w(r). Let -24/11*c - 2/11*c**k - 12/11*c**2 - 16/11 = 0. What is c?
-2
Let n(a) = -a**3 - a**2 + 2*a. Let x(b) = b + 16. Let l be x(-15). Let s be n(l). Factor 4/3*o**2 + s*o + 0 + 2/3*o**3.
2*o**2*(o + 2)/3
Let v(n) be the third derivative of -1/14*n**3 - 1/280*n**6 + 1/56*n**4 + 0 + 0*n + 1/140*n**5 - 5*n**2. Find b such that v(b) = 0.
-1, 1
Let x(f) be the first derivative of f**4/24 - f**3/9 + f**2/12 + 27. Determine q, given that x(q) = 0.
0, 1
Factor -4/3*c**3 - 16/3 - 20/3*c**2 - 32/3*c.
-4*(c + 1)*(c + 2)**2/3
Factor g**3 - 6*g + 21*g**2 + 3*g**3 - 4*g**3 + 12*g**3.
3*g*(g + 2)*(4*g - 1)
Factor 2*k**4 + 10*k**3 + 9*k - k + 14*k**2 + 0*k**4 - 2*k.
2*k*(k + 1)**2*(k + 3)
Determine k, given that 1/11*k + 0 - 7/11*k**2 + 12/11*k**3 = 0.
0, 1/4, 1/3
Suppose 6*s + 25 = s. Let h = 5 + s. Solve -y**2 + h*y**3 - 2*y**2 + y**3 + 2*y = 0.
0, 1, 2
Factor -20*f**2 + 68*f**3 - 28*f**3 + 24*f**4 + f**4.
5*f**2*(f + 2)*(5*f - 2)
Let v(k) = -k**3 + 8*k**2 - 8*k + 9. Let r be v(7). Suppose -3*f + r + 4 = 0. Factor -4*j**2 + 1 - f + 5*j**2.
(j - 1)*(j + 1)
Find n such that -2/3*n**3 + 16/3 - 8*n + 4*n**2 = 0.
2
Let -6/17*s**2 + 2/17*s**5 - 4/17*s + 2/17*s**3 + 6/17*s**4 + 0 = 0. What is s?
-2, -1, 0, 1
Suppose b = -4*b + 25. Factor -2*f**b - 2*f**2 - 3*f**5 - f**3 + 3*f**4 + 3*f - 1 + 4*f**5 - f**3.
-(f - 1)**4*(f + 1)
Let q(p) be the first derivative of p**3/18 + p**2/6 - 4*p/3 - 2. Factor q(n).
(n - 2)*(n + 4)/6
Suppose -3*x + 4*j = -26, 0 = x - 2*j - 12 - 0. Solve 26*w**3 - 8 + 2*w - 18*w**4 + 0*w**5 + 3*w**5 - 10*w + 26*w**x - 21*w**5 = 0 for w.
-1, -2/3, 2/3, 1
Let k be -2 + (3 - -2) - 1. Suppose -k*q - 5*y - 11 = -0*q, -2*y - 2 = 2*q. Find x such that -x**3 + q*x**4 - 3/4*x**5 + 7/4*x - 1/2 - 3/2*x**2 = 0.
-1, 2/3, 1
Let k(n) be the second derivative of -n**6/90 + n**5/60 + n**4/6 - 2*n**3/9 - 4*n**2/3 - 16*n. Factor k(u).
-(u - 2)**2*(u + 1)*(u + 2)/3
Let r = 3 - 4. Let b(d) = -d**3 + 1. Let a be b(r). Factor 0*s - 2/3*s**a + 2/3.
-2*(s - 1)*(s + 1)/3
Suppose -c + 4*c = 0. Suppose h + 2*h - 6 = c. Let -h*j + 4/5 + 6/5*j**2 = 0. Calculate j.
2/3, 1
Determine x so that -10*x**3 - 1 - 3*x**4 - 10*x**2 - 3*x - 2*x - 2*x**4 - x**5 = 0.
-1
Suppose -3*m = 3*k - 6, 0 = 5*k - m - 21 + 5. Suppose 0*h**2 + 2/5*h**k - 2/5*h**5 + 0 + 0*h + 0*h**4 = 0. What is h?
-1, 0, 1
Let r(p) = -5 - p - 2 + 7 + p**3. Let k(d) = 6*d**3 - 9*d**2 - 18*d - 3. Let l(h) = -k(h) + 9*r(h). Factor l(b).
3*(b + 1)**3
Let u be ((-2)/4)/(2/(-257)). Let q = u - 64. Factor 1/4*k**2 + 0*k + 0 + 1/4*k**3 - q*k**5 - 1/4*k**4.
-k**2*(k - 1)*(k + 1)**2/4
Let q = -11 + 3. Let p(s) = s**2 + 9*s + 11. Let f be p(q). Suppose 4*y**5 - 5*y**5 + 0*y**5 + y**f = 0. Calculate y.
-1, 0, 1
Let t = 733/4092 + 1/372. Factor 0 - t*b**3 + 0*b + 2/11*b**2.
-2*b**2*(b - 1)/11
Let r be (-12)/(-12) + 4/2 - 3. Determine g, given that -1/6*g**5 + 1/6*g**4 + r*g + 1/6*g**3 - 1/6*g**2 + 0 = 0.
-1, 0, 1
Suppose 3*k - h - 4*h + 2792 = 0, -5*h = 5*k + 4600. Let r = 4664/5 + k. Let -2*z**5 + 0 - 16/5*z**2 - r*z**4 + 0*z - 56/5*z**3 = 0. Calculate z.
-2, -2/5, 0
Let t(u) be the fi