*(q - 1)
Suppose -t - 3*h = -14, 2*h = -5*t + 3*h + 6. Factor 7*r**3 - r**t - r**3 - 3*r**2.
2*r**2*(3*r - 2)
Determine b, given that -6*b**4 + 5*b**2 + 3*b + 31*b**5 - 34*b**5 + b**2 = 0.
-1, 0, 1
Let b(j) be the first derivative of 4*j**5/5 + 3*j**4/4 + j**3/3 + j**2 - 2. Let t(u) = -u**3 - u**2. Let y(v) = -b(v) - 5*t(v). Factor y(f).
-2*f*(f - 1)*(f + 1)*(2*f - 1)
Let r(o) = -o**3 - 2*o**2 - 3*o + 6. Let z(w) = -3*w**3 - 6*w**2 - 8*w + 17. Let c(u) = -11*r(u) + 4*z(u). Factor c(b).
-(b - 1)*(b + 1)*(b + 2)
Solve -6/5*p + 3/5 + 3/5*p**2 = 0.
1
Let j(s) be the first derivative of s**5/90 + s**4/9 + 4*s**3/9 + 5*s**2/2 - 5. Let v(f) be the second derivative of j(f). Solve v(i) = 0 for i.
-2
Let b(h) be the second derivative of 0*h**4 - 1/420*h**5 + 3*h + 0 + 0*h**2 - 1/6*h**3 + 1/1260*h**6. Let v(o) be the second derivative of b(o). Factor v(i).
2*i*(i - 1)/7
Factor 4/3*y**2 - 4/3 - 2/3*y + 2/3*y**3.
2*(y - 1)*(y + 1)*(y + 2)/3
Factor 0 + y + 1/2*y**2.
y*(y + 2)/2
Let r = 99 + -94. Factor 0*l**2 - 4/5*l**3 + 0*l + 0 + 9/5*l**r - 16/5*l**4.
l**3*(l - 2)*(9*l + 2)/5
Let u(g) = 9*g + 498. Let n be u(-55). Factor 2/11*z**4 + 0 + 2/11*z - 2/11*z**2 - 2/11*z**n.
2*z*(z - 1)**2*(z + 1)/11
Suppose 0 = -6*h - h + 3*h. Find f such that -1/4*f**3 - 1/2*f**2 + h - 1/4*f = 0.
-1, 0
Let n(s) be the first derivative of 0*s + 2 + 1/6*s**3 + 1/4*s**2. Find b, given that n(b) = 0.
-1, 0
Let n be (2/(-4))/((-4 - 3) + -5). Let r(l) be the third derivative of -1/210*l**7 + 1/20*l**5 - 1/120*l**6 + 0 + n*l**4 + 0*l - 1/3*l**3 - 4*l**2. Factor r(i).
-(i - 1)**2*(i + 1)*(i + 2)
Let l = 16/17 - -155/34. Let v = l + -5. Suppose -1/4*s**3 + 0 - v*s**2 - 1/4*s = 0. What is s?
-1, 0
Let l = 175/747 - 1/83. Let a(i) be the second derivative of -l*i**4 - 2*i + 0*i**3 + 4/5*i**5 + 1/3*i**7 + 0*i**2 - 41/45*i**6 + 0. Solve a(s) = 0 for s.
0, 2/7, 2/3, 1
Let d(s) be the second derivative of -s**6/6 - s**5 - 5*s**4/4 + 10*s**3/3 + 10*s**2 - 18*s. Factor d(v).
-5*(v - 1)*(v + 1)*(v + 2)**2
Let r(g) be the third derivative of g**5/330 - g**4/44 - 19*g**2. Factor r(v).
2*v*(v - 3)/11
Let k(t) be the second derivative of t**7/42 + 4*t**6/75 + t**5/100 - t**4/30 + 3*t. Find y, given that k(y) = 0.
-1, 0, 2/5
Let n(p) be the third derivative of -p**8/16800 + p**7/6300 + p**4/24 + 4*p**2. Let r(m) be the second derivative of n(m). Factor r(h).
-2*h**2*(h - 1)/5
Let n be (1/2)/(6/36). Let x be 3 + (n - 4) + -2. Factor 1/3*r**2 + 0 + x*r - 1/3*r**3.
-r**2*(r - 1)/3
Factor 0*n + 0 + 8/11*n**2 + 8/11*n**3 + 2/11*n**4.
2*n**2*(n + 2)**2/11
Let b(p) be the first derivative of p**4/20 + p**3/15 - p**2/5 - 4. Factor b(g).
g*(g - 1)*(g + 2)/5
Factor -12 + 30*d - 3/4*d**4 - 99/4*d**2 + 15/2*d**3.
-3*(d - 4)**2*(d - 1)**2/4
Let x(p) = -10*p**2 - 4*p. Let d(t) = -3*t**2 - t. Let j(f) = -7*d(f) + 2*x(f). Let g be j(1). Factor 2/9*w**4 + g + 0*w + 2/9*w**2 + 4/9*w**3.
2*w**2*(w + 1)**2/9
Let c(i) be the third derivative of -i**7/1960 + i**5/280 + i**3/2 - 2*i**2. Let u(k) be the first derivative of c(k). Let u(d) = 0. Calculate d.
-1, 0, 1
Let l(j) = 2*j**2 - 3*j**2 + 1 - 5*j - 5 + 4*j. Suppose -4*b - 23 = 1. Let i(v) = 3*v**2 + 3*v + 11. Let r(m) = b*i(m) - 17*l(m). Determine z so that r(z) = 0.
-2, 1
Let c(t) be the first derivative of 0*t - 2/21*t**3 + 5 + 1/14*t**4 + 0*t**2. Suppose c(z) = 0. Calculate z.
0, 1
Suppose 3 = 6*k - 9. Factor 1/4*f**3 - 1/4*f + 0 + 1/4*f**k - 1/4*f**4.
-f*(f - 1)**2*(f + 1)/4
Let q(m) be the third derivative of 0*m + 0*m**3 + 1/60*m**6 + 0 + 3*m**2 - 1/30*m**5 + 0*m**4. Factor q(c).
2*c**2*(c - 1)
Suppose 0*z + 3*r + 1 = 2*z, -4*r = -2*z - 2. Let s be (-186)/(-15) - 2/z. Let 3*f**2 + 6*f - 7*f + s + 13*f = 0. What is f?
-2
Let w = 93 + -89. Let r(a) be the third derivative of 0 + 0*a**3 + 0*a - 1/90*a**6 - 4*a**2 - 1/36*a**w - 1/630*a**7 - 1/36*a**5. Factor r(f).
-f*(f + 1)**2*(f + 2)/3
Let j(a) be the third derivative of -1/210*a**7 - 4*a**2 + 0*a - 1/30*a**6 - 1/6*a**4 + 0 - 1/10*a**5 - 1/6*a**3. Factor j(b).
-(b + 1)**4
Let n(m) be the first derivative of -2*m**6/3 - 2*m**5 - 3*m**4/2 + 2*m**3/3 + m**2 + 10. Factor n(s).
-2*s*(s + 1)**3*(2*s - 1)
Let c(p) be the second derivative of p**8/4620 + p**7/1540 - p**6/990 + p**3/6 + 2*p. Let q(w) be the second derivative of c(w). Solve q(l) = 0 for l.
-2, 0, 1/2
Let p(w) be the second derivative of w**5/20 + w**4/6 + w**3/6 - 3*w. Factor p(c).
c*(c + 1)**2
Let s(p) = -8*p**4 + p**3 - 9*p. Let u(g) = -2*g**4 - 2*g. Let w(n) = -4*s(n) + 18*u(n). Determine r, given that w(r) = 0.
-1, 0
Let f be -6 - -1*(-125)/(-20). Factor -f*w + 1/4*w**2 - 1/4 + 1/4*w**3.
(w - 1)*(w + 1)**2/4
Determine r so that 4/9*r + 2/9*r**2 - 2/3 = 0.
-3, 1
Let p = -6 - -11. Determine r so that -6/5*r**2 - 3/5*r + 6/5*r**3 + 3/5*r**4 - 3/5*r**p + 3/5 = 0.
-1, 1
Suppose -4*j = j + 30. Let a be ((-16)/j)/((-1)/(-3)). Solve 2*k**5 - 5*k**3 + a*k + 4 - 2*k**2 - k**4 + 3*k**2 - k**5 = 0 for k.
-1, 2
Let u(a) be the first derivative of -a**6/420 - 2*a**5/105 - a**4/21 + a**2 - 2. Let l(d) be the second derivative of u(d). Solve l(t) = 0.
-2, 0
Let o(l) be the third derivative of l**7/6300 - l**6/900 - l**4/12 + 6*l**2. Let c(x) be the second derivative of o(x). Factor c(w).
2*w*(w - 2)/5
Suppose -26*z**3 + 12 - 15*z - 8 - 7*z + 38*z**2 + 6*z**4 = 0. Calculate z.
1/3, 1, 2
Let g(n) be the first derivative of n**4 + 2*n**3 - 3*n**2 - 4*n + 17. Factor g(l).
2*(l - 1)*(l + 2)*(2*l + 1)
Let p be 1 + -5 - (3 - (11 + -1)). Suppose -7/2*o**p + 1/2*o**2 - 5/2*o**4 - 1/2*o**5 + 4*o + 2 = 0. What is o?
-2, -1, 1
Let b(v) = 6*v**3 + 10*v**2 - 24. Let k(n) = -2*n**3 - 3*n**2 + 8. Let w(u) = 3*b(u) + 8*k(u). Factor w(z).
2*(z - 1)*(z + 2)**2
Let u(r) be the first derivative of r**6/18 - 2*r**5/15 - 5*r**4/12 + 10*r**3/9 + 2*r**2/3 - 8*r/3 + 36. Find i, given that u(i) = 0.
-2, -1, 1, 2
Let w(k) be the first derivative of 1/2*k**4 - 1/5*k**5 + 0*k**3 - k**2 + k - 4. Find a such that w(a) = 0.
-1, 1
Let q(f) be the second derivative of 2*f**6/15 - 7*f**4/3 + 4*f**3 - 23*f. Factor q(j).
4*j*(j - 2)*(j - 1)*(j + 3)
Find p such that 0*p + 1/3*p**2 + 1/3*p**5 - 1/3*p**3 + 0 - 1/3*p**4 = 0.
-1, 0, 1
Let r(u) = 2*u**3 + 3*u**2 + u + 3 + 0 + 2*u + 0*u. Let b be r(5). Solve -6*q**2 - 243*q**4 - 51*q**4 - 2*q**2 + 84*q**3 + b*q**5 = 0.
0, 2/7
Let f = -5 - -5. Let r(v) be the second derivative of 1/24*v**3 - 2*v + 0*v**2 + 1/80*v**5 + f - 1/24*v**4. Solve r(t) = 0.
0, 1
Let l(y) be the third derivative of 0 - 7/200*y**6 - 2/5*y**3 + 0*y + 5*y**2 + 19/100*y**5 - 1/5*y**4. Factor l(d).
-3*(d - 2)*(d - 1)*(7*d + 2)/5
Let i = 5 + -8. Let y be ((-4)/(-3))/((-2)/i). Factor 2*d**3 + d**2 + 2*d + 3*d**y + 0*d.
2*d*(d + 1)**2
Suppose 4*g = -g - 15, 3*z - 4*g = 27. Factor 3 - 3 - 2*m**4 - 2*m**z - 2*m**4 - 2*m**3.
-2*m**3*(m + 1)**2
Let r(w) be the first derivative of -w**6/12 + w**5/5 - w**3/3 + w**2/4 + 2. Find o such that r(o) = 0.
-1, 0, 1
Let 4/3*c - 6*c**2 + 0 + 14/3*c**3 = 0. Calculate c.
0, 2/7, 1
Let a be (-6)/(1 + 3/(-1)). Factor 2 + 15*q**3 - 13*q**a - 4*q**2 + q**2 - 3*q.
(q - 2)*(q + 1)*(2*q - 1)
Let k be 340/(-80) + (-10)/(-2). Let u(s) be the first derivative of 15/8*s**2 - k*s - 9/4*s**3 + 21/16*s**4 + 1 - 3/10*s**5. Factor u(w).
-3*(w - 1)**3*(2*w - 1)/4
Let s(z) = -z**2 - 7*z + 7. Let w be s(-6). Solve -b**5 - 2*b**4 - b**5 + 15*b**2 - w*b**2 + 2*b**3 = 0.
-1, 0, 1
Factor -11*j - j + 5*j**2 + 10 - 3*j.
5*(j - 2)*(j - 1)
Let x(l) be the first derivative of 2*l**3/9 - 4*l**2/3 + 8*l/3 + 17. Suppose x(a) = 0. What is a?
2
Suppose 0*v = 3*v. Suppose 5*k - 4*i + 12 = k, 3*k + 5*i - 31 = 0. Factor 1/3*r**k + 2/3*r + v.
r*(r + 2)/3
Let v be 19/4 - (-1)/4. Suppose 1 - v = -b. Factor 0*g + 1/4*g**b + 0 + 0*g**2 + 1/4*g**3.
g**3*(g + 1)/4
Let l be 3/((-54)/(-56)) + 8/(-72). Let y(m) be the second derivative of 0*m**l - 3*m + 0 + 1/36*m**4 + 0*m**2. Factor y(z).
z**2/3
Let i(c) = 5*c**2 - 24*c + 36. Let k(w) = -w**2 + 4*w - 6. Let l(s) = -6*i(s) - 34*k(s). Factor l(z).
4*(z - 1)*(z + 3)
Let i(t) be the first derivative of t**7/210 + t**6/90 - t**5/30 - t**4/6 + 5*t**3/3 - 5. Let a(k) be the third derivative of i(k). Factor a(p).
4*(p - 1)*(p + 1)**2
Solve 8/3*h**3 - 4/3*h**5 + 4/3*h**4 - 8/3*h**2 - 4/3*h + 4/3 = 0 for h.
-1, 1
Let h = 1036 + -1036. Factor -3/5*j**2 + h - 3/5*j.
