ctor 0 - 1/4*q**v - 1/4*q.
-q*(q + 1)/4
Find k, given that 15/2 - 35*k + 95/2*k**2 - 20*k**3 = 0.
3/8, 1
Suppose -7*t + 145 = 124. Suppose 3/5*k**t + 0 - 1/5*k - 2/5*k**4 + 0*k**2 = 0. Calculate k.
-1/2, 0, 1
Suppose 0*z - 4 = -z, -u + 5*z = 18. Let t(o) be the second derivative of 0*o**u - 1/15*o**5 + 0 + 0*o**3 + 4*o - 1/45*o**6 + 0*o**4. Solve t(c) = 0.
-2, 0
Suppose -5*h + 5 = -5*v, 3*v - 1 = 5*h - 4. Let o be 2/(-3) - 56/(-66). Factor h*l - o*l**2 + 0.
-2*l**2/11
Factor 2*j + 2/3*j**2 + 0.
2*j*(j + 3)/3
Let a(b) = -4*b**5 + 9*b**4 - 11*b**3 + 3. Let s(y) = 4*y**5 - 8*y**4 + 12*y**3 - 4. Let t(d) = 4*a(d) + 3*s(d). Factor t(f).
-4*f**3*(f - 2)*(f - 1)
Suppose d - 21 = -4*z, -4*z + 48 = 5*d - 3*z. Find b, given that -9*b**4 + b**5 + d*b - 4*b**5 + 3 + 6*b**4 - 6*b**4 - 6*b**3 + 6*b**2 = 0.
-1, 1
Let f(g) be the second derivative of g**4/12 + g**3/2 - 2*g**2 + 6*g. Let q be f(-4). Solve 0*k + 1/4*k**4 + 3/4*k**3 + 1/2*k**2 + q = 0.
-2, -1, 0
Solve 2*f - 2*f + 4*f + 0*f**2 + 2*f**2 + 2 = 0 for f.
-1
Suppose 15 = t + 2*t, 2*t - 10 = -5*c. Factor 7*a + 3*a**2 + 3*a**2 + c*a**3 + 2*a**3 - 3*a.
2*a*(a + 1)*(a + 2)
Let f(o) be the second derivative of o**4/60 + o**3/30 - 7*o. Factor f(g).
g*(g + 1)/5
Let w(u) = u**2 + 5*u + 2. Let p be w(-5). Suppose 4*b = -4*d - 4, 16 = -2*b + b - 4*d. Factor a**2 - 2*a**5 - p*a**4 - 4*a**3 + 5*a**3 + a**b + a**5.
-a**2*(a - 1)*(a + 1)**2
Suppose -3*i = 2*r - 56 + 38, i + 4*r = 6. Factor i*m**2 - 1 + 3/2*m + 7/2*m**3.
(m + 1)**2*(7*m - 2)/2
Let t be (3/(-2))/((-1)/(-2)). Let r = t - -4. Suppose 1 - r + a**2 - a = 0. What is a?
0, 1
Suppose -5*f - 108 = 72. Let h be 1/4 - 9/f. Find x such that -x**3 - 1/2*x**4 - 1/2 + x**2 + 1/2*x**5 + h*x = 0.
-1, 1
Let c(o) be the first derivative of 3 - 1/9*o**3 - 2/3*o**2 - o. What is l in c(l) = 0?
-3, -1
Suppose 5*u = 4*b + 4, 0 = b + 3*b - 4*u. Let r = 1 + b. Factor 2*d**4 - 2*d**5 - 5*d**5 + r*d**5.
-2*d**4*(d - 1)
Suppose 0 = -s - 3*s. Suppose s = -3*m - 3 + 9. Suppose 3*t**m - 2*t**3 + t**2 - 3*t + t = 0. What is t?
0, 1
Let q = -10 - 0. Let x be 14/q*14/(-49). Suppose 0*t - 2/5*t**2 + x = 0. Calculate t.
-1, 1
Suppose h + 3*u - 4*u = 19, 55 = 3*h - u. Factor 16*r**3 - 3*r - 6*r**4 + 11*r**3 - h*r**3.
-3*r*(r - 1)**2*(2*r + 1)
Let g(q) be the second derivative of -1/18*q**4 + 1/18*q**3 + 0 + q**2 + q + 1/60*q**5. Let c(a) be the first derivative of g(a). Factor c(y).
(y - 1)*(3*y - 1)/3
Let l(u) be the third derivative of -u**8/336 - u**7/70 + u**6/24 + u**5/20 - u**4/6 - 23*u**2. Determine i, given that l(i) = 0.
-4, -1, 0, 1
Suppose 0 = 2*y + 2*z - 0*z - 16, -5*y - 4*z + 36 = 0. Factor 2*f**2 + 5*f**5 - 8*f**5 - 2*f**y + 2*f + 4*f**5 - 3*f.
f*(f - 1)**3*(f + 1)
Let k be 14/4*(192/(-42))/(-8). Factor -22/15*a**k - 14/5*a**3 - 4/15*a - 2/3*a**5 + 0 - 34/15*a**4.
-2*a*(a + 1)**3*(5*a + 2)/15
Let o(p) be the first derivative of -p**7/840 + p**5/120 + p**3/3 + 3. Let k(b) be the third derivative of o(b). Factor k(c).
-c*(c - 1)*(c + 1)
Let f(l) = 2*l - 8. Let t be f(4). Let s = -3 - -5. Factor 0 - 1/3*p**3 + t*p - 1/3*p**s.
-p**2*(p + 1)/3
Let k be -1 - ((-2)/(-9) + 55/(-45)). Factor k*y + 0 - 1/3*y**3 + 1/3*y**2.
-y**2*(y - 1)/3
Suppose 3*l - 3 = 0, -8 + 3 = -5*r - 5*l. Factor -2 + r + 6*p**2 - 6 + 6*p**3 + 12*p**3 - 16*p.
2*(p - 1)*(3*p + 2)**2
Let d be -4*(3/(-3) - -2). Let u be ((-6)/(-22))/((-6)/d). Solve 0*w + 0 + 2/11*w**4 + u*w**3 + 0*w**2 = 0 for w.
-1, 0
Let k(c) be the third derivative of -3*c**5/140 + 11*c**4/168 - c**3/21 + 19*c**2. Factor k(n).
-(n - 1)*(9*n - 2)/7
Let n = -2 + -2. Let r(x) = x - 2 - 7*x - 7*x**2 + x. Let q(i) = -6*i**2 - 4*i - 1. Let z(u) = n*q(u) + 3*r(u). Find v, given that z(v) = 0.
-1, 2/3
Let b(v) be the first derivative of -5*v**6/6 + 6*v**5 - 35*v**4/2 + 80*v**3/3 - 45*v**2/2 + 10*v - 5. Factor b(t).
-5*(t - 2)*(t - 1)**4
Let r(h) = h**3 - h**2 + h + 1. Let d(l) = -2*l**5 - 5*l**4 + 5*l**3 - 10*l**2 + 9*l + 9. Let y(v) = 4*d(v) - 36*r(v). Factor y(a).
-4*a**2*(a + 1)**2*(2*a + 1)
Let a(v) be the second derivative of v**4/48 - 5*v**3/24 - 2*v - 6. Factor a(u).
u*(u - 5)/4
Let q = -200 + 1805/9. Let a(v) be the first derivative of -1 + 0*v - 1/18*v**6 + 1/4*v**4 + q*v**3 + 1/3*v**2 - 1/15*v**5. Determine i, given that a(i) = 0.
-1, 0, 2
Let z(t) be the first derivative of -3 - 1/3*t**4 - t**2 - 1/30*t**5 - 4/3*t**3 + 0*t. Let y(c) be the second derivative of z(c). Factor y(h).
-2*(h + 2)**2
Let x(v) be the third derivative of -v**6/780 + v**5/390 + v**4/156 - v**3/39 - 13*v**2. What is j in x(j) = 0?
-1, 1
Let o(z) be the first derivative of 1/2*z + 1/10*z**5 - 1/4*z**4 - 1/3*z**3 + 3 + 1/12*z**6 + 1/4*z**2. Solve o(t) = 0 for t.
-1, 1
Let j(r) be the third derivative of r**6/780 - r**5/65 - 45*r**2. Determine t, given that j(t) = 0.
0, 6
Let l(b) be the second derivative of -b**6/1080 + b**4/72 - b**3/3 - b. Let q(f) be the second derivative of l(f). Let q(c) = 0. What is c?
-1, 1
Let o(b) be the third derivative of b**6/120 + b**5/60 - b**4/24 - b**3/6 - 5*b**2. Suppose o(s) = 0. Calculate s.
-1, 1
Factor -2/11*l**2 + 0 - 2/11*l.
-2*l*(l + 1)/11
Let a(t) be the third derivative of -t**5/120 - 5*t**4/24 - 25*t**3/12 + 11*t**2. Solve a(b) = 0.
-5
Let y be (-19 + 1)*(-6)/4. Let v(c) = -6*c**4 + 69*c**3 + 21*c**2. Let z(d) = d**4 - 10*d**3 - 3*d**2. Let s(h) = y*z(h) + 4*v(h). Find f, given that s(f) = 0.
-1, 0
Let f be (-86)/(-18) + 4/18. Suppose -f*w + 6 = -2*w. What is k in 0 + 4/9*k - 14/9*k**4 - 22/9*k**w + 32/9*k**3 = 0?
0, 2/7, 1
What is z in -2/7*z**3 - 3/7*z**2 + 2/7*z + 0 + 3/7*z**4 = 0?
-1, 0, 2/3, 1
Find q such that -11/7*q + 1/7*q**3 - 10/7*q**2 + 0 = 0.
-1, 0, 11
Suppose 0 = -10*o + 8*o - o. Find w, given that 1/6*w**3 + 1/6*w - 1/3*w**2 + o = 0.
0, 1
Let t = -8 + 11. Factor i**2 + 3 + i**2 - t + 4*i.
2*i*(i + 2)
Suppose 4*n = 5*s - 0*n - 10, s - 2 = -4*n. Factor 0*l + 0 - 3/5*l**3 + 3/5*l**s.
-3*l**2*(l - 1)/5
Let g(m) be the third derivative of m**6/360 - m**5/360 - m**4/144 - m**2. Factor g(y).
y*(y - 1)*(2*y + 1)/6
Factor 2*u - 1/2*u**2 - 2.
-(u - 2)**2/2
Let q(m) = 6*m**3 - m**2 + 2*m + 7. Let s(h) = 0*h**3 - 2*h**3 + 5 + 3*h**3 - 4. Let x(c) = -2*q(c) + 14*s(c). Solve x(a) = 0.
-2, 0, 1
Let v be (-4)/(-10)*-1*-30. Suppose -4*w = -v + 4. Solve 2/9*c**w + 0*c - 2/9 = 0 for c.
-1, 1
Let u(d) = d + 2. Let p be u(2). Factor -s**p - 7*s**3 - 2*s**3 + s**5 + 2*s**3 + 5*s**3.
s**3*(s - 2)*(s + 1)
Let y = -25 + 27. Let a(k) be the second derivative of -3/10*k**6 + 9/20*k**5 + 0 + 1/14*k**7 + 0*k**3 - 1/4*k**4 - y*k + 0*k**2. What is u in a(u) = 0?
0, 1
Let l(c) be the first derivative of -4*c**5/5 - 15. Factor l(z).
-4*z**4
Solve 4*n - 16*n**2 - n + 5*n - 1 = 0.
1/4
Factor -4/9*d**2 + 0 - 4*d**4 + 0*d + 8/3*d**3 + 16/9*d**5.
4*d**2*(d - 1)**2*(4*d - 1)/9
Let a(t) be the third derivative of t**6/360 - t**5/60 + t**4/24 - t**3/18 + 20*t**2. Factor a(x).
(x - 1)**3/3
Let b(f) = f + 8. Suppose -3*k - 2*k = 30. Let m be b(k). Factor -9*j + 250*j**4 - 7*j - 304*j**3 + 29*j**2 + 91*j**m + 4*j**3.
2*j*(5*j - 2)**3
Solve -3/8*q**3 + 3/2*q**2 - 15/8*q + 3/4 = 0 for q.
1, 2
Let p(r) be the first derivative of 2*r**5/5 + r**4 - 2*r**3 - 4*r**2 + 8*r + 9. Solve p(m) = 0.
-2, 1
Let g = -3/25 - -13/25. Suppose -g + 2/5*w + 2/5*w**2 - 2/5*w**3 = 0. What is w?
-1, 1
Let o(i) be the third derivative of i**5/270 - i**4/108 + 7*i**2. Solve o(v) = 0 for v.
0, 1
Let h(n) be the third derivative of n**8/560 + n**7/140 + n**6/120 + 5*n**3/6 - 5*n**2. Let u(g) be the first derivative of h(g). Solve u(x) = 0 for x.
-1, 0
Suppose b = 5*y - 9, 2 - 15 = -5*y - 3*b. Factor 1 - 11*a**y - a**3 + a - a**2 + 11*a**2.
-(a - 1)*(a + 1)**2
Let z be -8*6/(24/14). Let s = 30 + z. Find c, given that c - 35/2*c**4 - 3/4*c**3 + 0 + 49/4*c**5 + 5*c**s = 0.
-2/7, 0, 1
Let h(a) be the first derivative of a**4/34 + 10*a**3/51 + 4*a**2/17 + 31. Factor h(u).
2*u*(u + 1)*(u + 4)/17
Let x(f) = f**3 - 8*f**2 + 5*f + 8. Let h(r) = -2*r**3 + 15*r**2 - 9*r - 15. Suppose -4*y = g - 3*y - 6, 0 = -3*y. Let p(a) = g*h(a) + 11*x(a). Factor p(j).
-(j - 2)*(j - 1)*(j + 1)
Let q be 62/4*(-6 + 2). Let y be q/(-5) + 3/5. Factor 2*o**3 + y*o**4 + 5*o**4 - 14*o**5 - 6*o**3.
-2*o**3*(o - 1)*(7*o - 2)
Let u(k) = -k**2 - 1. Let a = 1 - 7. Let m(d) = -21*d**2 + 6*d - 6. Let v(b) = a*u(b) + m(