 z(f) be the first derivative of -f**4/14 + 4*f**3/21 + 9. Solve z(k) = 0 for k.
0, 2
Let o(f) = -38*f + 2. Let k be o(3). Let z be (-2)/11 - k/132. Solve z*d**2 + 2/3 - 4/3*d = 0 for d.
1
Suppose -2*i = -6*i. Let n be i + 34/(-14) - -3. Factor n*x**3 - 2/7*x + 2/7 + 2/7*x**4 - 4/7*x**2 - 2/7*x**5.
-2*(x - 1)**3*(x + 1)**2/7
Let h(q) be the second derivative of 0 - 1/15*q**4 - 3*q - 1/6*q**3 - 1/10*q**2. Factor h(m).
-(m + 1)*(4*m + 1)/5
Factor 27/5*n**2 + 0*n + 1/5*n**5 + 27/5*n**3 + 0 + 9/5*n**4.
n**2*(n + 3)**3/5
Let r = -9/62 - -347/682. Suppose 0 - r*l**2 - 2/11*l**3 - 2/11*l = 0. What is l?
-1, 0
Let f(i) be the third derivative of 0*i**5 + 2*i**2 - 1/12*i**3 + 0*i - 1/480*i**6 + 1/32*i**4 + 0. Let f(y) = 0. Calculate y.
-2, 1
Let r = 25 + -23. Let z(j) be the first derivative of 36/7*j**r - 54/7*j**3 - 8/7*j - 3. Determine n so that z(n) = 0.
2/9
Let h(q) be the third derivative of q**5/30 - q**4/6 + q**3/3 + q**2. Suppose h(w) = 0. What is w?
1
Let b be -1*6 + -15 + 13. Let u be 9/6 + (b - -11). Suppose -9/2*f - u*f**2 - 3/2 - 3/2*f**3 = 0. What is f?
-1
Let l be (-1 + -4)/(2/8). Let c be 6/40 - 5/l. Suppose -4/5*v**2 + 0 - c*v**3 - 2/5*v = 0. Calculate v.
-1, 0
Let a = 25 - -10. Suppose 2*i = 5*w + a, 3*i + w - 10 = -0*w. Factor -2/5*f**i + 0*f + 0*f**2 + 0 - 2/5*f**3 + 4/5*f**4.
-2*f**3*(f - 1)**2/5
Let f be ((-174)/(-145))/(1 + 3/(-5)). Suppose -9/2*d - 5/2*d**f + 1 + 6*d**2 = 0. What is d?
2/5, 1
Let z(w) be the first derivative of w**6/180 - w**5/15 + w**4/3 - w**3 + 1. Let g(h) be the third derivative of z(h). Factor g(s).
2*(s - 2)**2
Let r(o) be the second derivative of 0 - 1/36*o**4 + 1/6*o**2 + 0*o**3 + 3*o. What is b in r(b) = 0?
-1, 1
Let s be (-58)/(-30) + (-2)/(-5). Let w(l) be the first derivative of -2 + 2*l - s*l**3 - 5/2*l**2. Suppose w(u) = 0. Calculate u.
-1, 2/7
Let y(a) be the first derivative of -a**4/20 + 3*a**2/10 + 2*a/5 - 24. Factor y(q).
-(q - 2)*(q + 1)**2/5
Find r such that -2/5*r**3 - 1/5*r**4 + 0*r**2 + 0*r + 0 = 0.
-2, 0
Suppose 0 = 2*n - 12 + 10. Let h(z) be the first derivative of 1/6*z**2 + 0*z - 2/15*z**5 + 2/9*z**3 + n - 1/12*z**4. Factor h(w).
-w*(w - 1)*(w + 1)*(2*w + 1)/3
Determine d so that -8*d**2 + d + 2*d - 3*d + 4*d**4 + 4 = 0.
-1, 1
Factor -o - o**3 + 6*o - 5*o + o**5.
o**3*(o - 1)*(o + 1)
Suppose 0 = -32*o + 28*o + 148. Let h = 75/2 - o. Factor -r**4 - h*r**5 + 0 + 0*r + 0*r**2 - 1/2*r**3.
-r**3*(r + 1)**2/2
Let x be ((-246)/(-48) - 4)/(3/2). Factor 3/4*o**2 + x*o**4 - 1/2 + 7/4*o**3 - 3/4*o.
(o + 1)**3*(3*o - 2)/4
Let u(z) be the second derivative of z**6/225 - z**5/75 + 2*z**3/45 - z**2/15 - 5*z. Factor u(d).
2*(d - 1)**3*(d + 1)/15
Suppose 6*n - 12 = 6. Let -1/5*b**n + 2/5*b**2 + 0*b - 3/5*b**4 + 0 = 0. What is b?
-1, 0, 2/3
Let k be 1/10*(-4)/(-18). Let d(p) be the second derivative of 0*p**2 + 0*p**3 + 1/18*p**4 + p + 0 - 1/63*p**7 - k*p**6 + 1/30*p**5. Find b such that d(b) = 0.
-1, 0, 1
Let -3*h**2 - 24 - 123 - 271*h + 229*h = 0. Calculate h.
-7
Factor 2/19*f**3 + 0 + 6/19*f**2 + 4/19*f.
2*f*(f + 1)*(f + 2)/19
Suppose 21*x + 41*x**3 - 6*x**2 - 22*x**3 - 28*x**3 - 6 = 0. Calculate x.
-2, 1/3, 1
Let r(p) = 11*p**4 - 9*p**3 + p**2 - 11*p - 8. Let b(n) = 7*n**4 - 6*n**3 + n**2 - 7*n - 5. Let l(q) = 8*b(q) - 5*r(q). Find x such that l(x) = 0.
0, 1
Let l(q) = 11*q**2 - q - 4. Suppose 5*o + 79 = -26. Let m = o - -15. Let z(n) = -n**2 - n + 1. Let u(p) = m*z(p) - l(p). Determine a so that u(a) = 0.
2/5, 1
Factor 8/3*b + 4/3*b**2 + 0.
4*b*(b + 2)/3
Let g(t) = -t**2 + 2*t. Let z be g(2). Suppose z*j = 3*j. Factor 2 + 2*l**3 + j*l - l - 2*l**2 - l.
2*(l - 1)**2*(l + 1)
Let c(l) be the first derivative of l**4/8 - l**3/6 + 15. Find z such that c(z) = 0.
0, 1
Let k(p) = 2*p**2 + 4*p + 2. Suppose -g + 3 = -2*g. Let y(q) = -q**2 - 2*q - 1. Let l(h) = g*k(h) - 5*y(h). Factor l(d).
-(d + 1)**2
Let z(g) = -7*g**4 - g**3 + 5*g**2 + g - 4. Let t(r) = 36*r**4 + 4*r**3 - 24*r**2 - 4*r + 21. Let c(d) = 2*t(d) + 11*z(d). Suppose c(x) = 0. Calculate x.
-1, 2/5, 1
Let q be -1*(2 + (0 - 4)). Factor 6*a + 1 - a**q - 6*a.
-(a - 1)*(a + 1)
Let g(x) = 2*x + 24. Let c be g(-11). Suppose -3*w + 0 = -9. Find q such that -c*q**3 - 3*q**3 + 6*q**w + 0*q**3 = 0.
0
Let x(z) be the first derivative of -z**4/2 + z**2 + 11. Factor x(m).
-2*m*(m - 1)*(m + 1)
Factor -1/2*b**3 - 1/2*b**2 + 1/2*b**5 + 0 + 0*b + 1/2*b**4.
b**2*(b - 1)*(b + 1)**2/2
Let n = -265 - -15901/60. Let w(b) be the third derivative of -n*b**4 + 0 + 0*b + 1/300*b**5 + 3*b**2 + 1/30*b**3. Let w(l) = 0. What is l?
1
Let j(h) be the second derivative of -1/2*h**2 + 0*h**4 - 1/60*h**5 + 2*h + 0*h**3 + 0. Let d(u) be the first derivative of j(u). Factor d(y).
-y**2
Let d(u) be the third derivative of -u**6/40 + u**5/10 - u**4/8 - 2*u**2 + 22. Determine b, given that d(b) = 0.
0, 1
Let o(d) = 4*d**2 - 3*d - 3. Suppose 2*p - 7*p = 15. Let r(x) = -9*x**2 + 7*x + 7. Let a(s) = p*r(s) - 7*o(s). Suppose a(n) = 0. What is n?
0
Let b be ((-4)/12)/((-1)/(-21)). Let j = -4 - b. Factor -4 + 2*y**j + 4 - 4*y**3.
-2*y**3
Let d(m) be the first derivative of 1/120*m**6 - 2 + 0*m + 0*m**3 - m**2 + 1/60*m**5 + 0*m**4. Let n(h) be the second derivative of d(h). Factor n(b).
b**2*(b + 1)
Let y(o) be the first derivative of 7*o**4/20 + o**3/2 - 3*o**2/5 - 2*o - 10. Let r(p) be the first derivative of y(p). What is s in r(s) = 0?
-1, 2/7
Find z such that 0*z - z**4 + 0 - 1/2*z**5 + 1/2*z**3 + z**2 = 0.
-2, -1, 0, 1
Let t be (1/3)/(2/6). Let w(m) = -4 - 58*m**2 + 59*m**2 - m + 3. Let z(q) = -q**2 + q + 3. Let l(n) = t*z(n) + 3*w(n). Factor l(x).
2*x*(x - 1)
Let r(y) = -y**2 + 4*y - 1. Let i be r(3). Let x = 397/3 - 131. Find w, given that 1/3*w**4 + 4/3*w**i + 0*w + 0 + x*w**3 = 0.
-2, 0
Suppose 4*q = 5*c + 6*q + 24, 3*c + 33 = 5*q. Let n = c + 23. Let h - 3*h + 11*h**2 - 21*h**3 - 5*h**5 + 0*h + n*h**4 = 0. Calculate h.
0, 2/5, 1
Let k(s) be the first derivative of s**6/3 - 3*s**4/2 + 4*s**3/3 + 5. Factor k(i).
2*i**2*(i - 1)**2*(i + 2)
Let z(q) be the third derivative of -q**8/336 + q**7/210 + q**6/120 - q**5/60 - q**2. Factor z(k).
-k**2*(k - 1)**2*(k + 1)
Let d(u) be the first derivative of -u**6/240 - u**5/20 - u**4/4 - 2*u**3/3 + u**2 + 2. Let j(w) be the second derivative of d(w). What is f in j(f) = 0?
-2
Factor -11*z**3 + 8*z**3 - 3*z**2 + 6*z**2.
-3*z**2*(z - 1)
Let z(v) be the first derivative of -9/2*v**2 + 3 + v**3 + 0*v. Factor z(s).
3*s*(s - 3)
Let q(l) be the second derivative of -1/3*l**3 - 1/3*l**4 + l**2 - 1/21*l**7 + 0 + l + 1/5*l**5 + 1/15*l**6. What is v in q(v) = 0?
-1, 1
Let u(v) = -5*v**2 - 5*v. Let y(r) = -r**2 - r. Let q(n) = u(n) - 6*y(n). Factor q(f).
f*(f + 1)
Solve -31 - 18*u + 7*u**2 + 35 - 4*u**2 + 11*u**2 = 0.
2/7, 1
Let q = 16 + -13. Solve 0*k**q - 4*k + 9*k**5 - 6*k**2 + 6*k**4 + 4*k - 9*k**3 = 0 for k.
-1, -2/3, 0, 1
Factor -9*s**2 + 12 - 32*s - s**3 + 3*s**4 - 5*s**3 + 44*s.
3*(s - 2)**2*(s + 1)**2
Let h(p) = p**2 + 15*p + 26. Let n be h(-13). Let y(m) be the third derivative of 1/360*m**6 + 1/72*m**4 + 0*m**3 - m**2 + 1/90*m**5 + 0*m + n. Factor y(t).
t*(t + 1)**2/3
Let b = 169/9 + -148/9. Factor 0 + 2/3*c + c**2 - b*c**4 - c**5 - c**3.
-c*(c + 1)**3*(3*c - 2)/3
Let d = -3/98 - -29/147. Determine h, given that d*h**2 + 1/2 + 2/3*h = 0.
-3, -1
Suppose 0*z - 2/7*z**3 + 0 + 2/7*z**2 = 0. Calculate z.
0, 1
Let k(h) be the third derivative of -h**6/15 + 11*h**5/30 - 5*h**4/6 + h**3 - 3*h**2. Find f, given that k(f) = 0.
3/4, 1
Let k(m) = m**3 - 9*m**2 - 2*m + 11. Let s be k(9). Let r = s + 9. Factor 0*q + 1/4*q**r - 1/4.
(q - 1)*(q + 1)/4
Let i(b) = -7*b**3 + 2*b**2. Let x(v) = -6*v**3 + 2*v**2. Let y(h) = 5*i(h) - 6*x(h). Factor y(w).
w**2*(w - 2)
Let q(t) = t**2 + 5*t. Let z be q(-5). Suppose z*u = -u + 5. Factor 0*y + 1/3*y**u + 0*y**4 + 0*y**2 + 0 + 0*y**3.
y**5/3
Let a(p) = -p + 7. Let l be a(5). Factor -s**l - 1/3 + 1/3*s**3 + s.
(s - 1)**3/3
Let n(m) be the second derivative of 3*m**5/50 - m**4/15 - m**3/5 + 2*m**2/5 + m + 2. Factor n(a).
2*(a - 1)*(a + 1)*(3*a - 2)/5
Let f(b) be the first derivative of -b**4/10 - 2*b**3/3 - 8*b**2/5 - 8*b/5 + 2. Let f(w) = 0. What is w?
-2, -1
Let p(x) = 2*x**2 - 4*x. Let h be p(3). Suppose 0*i**2 + 3 + h*i - i**2 + 4*i**2 = 0. Calculate i.
-1
Let r(o) = -2*o**3 - 2*o**2 + o + 1. Let s be r(-2). Deter