 a(v).
2*(v - 1)**2*(7*v - 2)/9
Suppose 3*v - 2*v + 9 = 4*x, -5*x + 15 = 0. Let k be (-4)/v*81/(-72). Factor -3/2*t**2 + k + 0*t.
-3*(t - 1)*(t + 1)/2
Suppose 7 = 5*p - 23. Let -3 + 10*l**3 + 7 + 9*l - 19*l - p*l**4 + 2*l**2 = 0. What is l?
-1, 2/3, 1
Let k = 10 + -7. Suppose -5*l = -k*g - 22, 2*l - g = 4*l. Find o, given that -1 + l*o**2 - o + 0*o**4 + 5*o**3 + 2*o**4 + o**2 = 0.
-1, 1/2
Let v(g) be the second derivative of -g**6/50 + 9*g**5/50 - 13*g**4/20 + 6*g**3/5 - 6*g**2/5 + 2*g. What is d in v(d) = 0?
1, 2
Let i(u) be the first derivative of 7*u**7/3 - 7*u**6/5 - 12*u**5/5 - 2*u**4/3 + 2*u + 4. Let f(y) be the first derivative of i(y). Factor f(p).
2*p**2*(p - 1)*(7*p + 2)**2
Let p(y) be the third derivative of -7*y**6/120 + 3*y**5/50 + y**4/8 + y**3/15 + 18*y**2. Factor p(s).
-(s - 1)*(5*s + 1)*(7*s + 2)/5
Let w(i) be the second derivative of i**6/90 + i**5/15 + i**4/6 + 2*i**3/9 - 5*i**2/2 + 5*i. Let y(j) be the first derivative of w(j). Factor y(g).
4*(g + 1)**3/3
Let v(b) be the second derivative of -b**4/3 + 2*b**2 - b. Factor v(w).
-4*(w - 1)*(w + 1)
Let t = 1/96 + 5/32. Let x(r) be the second derivative of 0*r**2 + 1/3*r**3 + r + 0 + t*r**4. Determine z, given that x(z) = 0.
-1, 0
Factor 5*x**2 - 2*x**2 + x + 0*x - 2*x**2.
x*(x + 1)
Let 2*o**3 + 2*o**3 - 39 + 2*o**2 - 5*o - 7*o - o**4 + 30 = 0. What is o?
-1, 3
Let q(w) be the third derivative of w**6/1980 - w**5/330 + w**4/132 - w**3/3 + 6*w**2. Let d(f) be the first derivative of q(f). Factor d(b).
2*(b - 1)**2/11
Let t be ((-1)/(-7)*7)/(1*3). Let o(v) be the first derivative of 1/4*v**2 + 0*v - t*v**3 - 3/8*v**4 + 3. Suppose o(g) = 0. What is g?
-1, 0, 1/3
Suppose 5/4*b**3 + 7/2*b**2 - 1/2 + 7/4*b = 0. Calculate b.
-2, -1, 1/5
What is b in 0 + 0*b + 0*b**2 - 2/7*b**3 = 0?
0
Suppose 3*x - 5*f = -17, -2*f = -5*x + 3 - 6. Let b be (-1 - 0)*x + 4. Let 5/2*k - 1 - 1/2*k**b - 3/2*k**2 + 1/2*k**4 = 0. What is k?
-2, 1
Determine i so that 60*i - 54 + 9*i**2 - 4*i**2 + 57 + 177 = 0.
-6
Let q(s) = s - 6. Let r be q(10). Suppose 2*j**3 - 3*j**2 - j**3 + j**r - j + 2*j**2 = 0. Calculate j.
-1, 0, 1
Let a(h) be the second derivative of -h**4/22 - 5*h**3/33 - 2*h**2/11 + 2*h. Factor a(q).
-2*(q + 1)*(3*q + 2)/11
Factor -3*d**4 + 2*d**2 - 2*d - 4*d - 93*d**3 - 17*d**2 + 81*d**3.
-3*d*(d + 1)**2*(d + 2)
Let -5*v - 17 + 7 - 7*v - 2 - 3*v**2 = 0. Calculate v.
-2
Let y be -2 - (7*-1 - -1). What is n in 4*n**4 - 3*n**y + n**4 - n**2 - n**2 = 0?
-1, 0, 1
Find s such that -20*s - 10*s**3 - 20*s**2 - 8 - 1/4*s**5 - 5/2*s**4 = 0.
-2
Suppose 3*q - 10 = -2*q. Suppose 0*l**3 + 10*l**2 + 2*l**3 - 8*l**4 - q + 6*l - 8*l**3 = 0. Calculate l.
-1, 1/4, 1
Suppose -6*j**4 - 6*j**3 + 5*j**4 + 4*j**2 + 3*j**4 = 0. Calculate j.
0, 1, 2
Let d(o) = 5*o**3 - 5*o**2 + 10*o - 1. Let r(a) = 4*a**3 - 6*a**2 + 10*a - 2. Let f(m) = 4*d(m) - 6*r(m). Factor f(p).
-4*(p - 2)*(p - 1)**2
Let b(d) be the second derivative of 0*d**2 - 1/24*d**3 - 1/48*d**4 + 0 + 5*d. What is t in b(t) = 0?
-1, 0
Let f(n) be the third derivative of -n**8/168 - 2*n**7/105 + n**6/6 + 4*n**5/15 - 11*n**4/4 + 6*n**3 - 24*n**2 - 2*n. What is s in f(s) = 0?
-3, 1, 2
Let c = -8 - -3. Let q be 4/50*(0 - c). Factor 6/5*f + 6/5*f**4 - q*f**5 - 4/5*f**2 - 2/5 - 4/5*f**3.
-2*(f - 1)**4*(f + 1)/5
Let a be ((-70)/(-15) + -4)/((-2)/(-9)). Let 0 + 0*f + 14/5*f**4 - 18/5*f**a + 4/5*f**2 = 0. Calculate f.
0, 2/7, 1
Factor -46 + 69*r + 40 - 233*r**2 + 53*r**2.
-3*(4*r - 1)*(15*r - 2)
Suppose -2*z + 40 = -4*d + 12, 0 = -3*z - d + 7. Factor 2*v**3 + z*v**2 - 2*v**3 - 3*v**4 - 1 - 2*v + 2*v**3 + 0*v**4.
-(v - 1)**2*(v + 1)*(3*v + 1)
Let v(u) be the first derivative of u**6/4 + u**5/5 - u**4/2 - u**3/3 + u**2/4 + 48. Solve v(c) = 0 for c.
-1, 0, 1/3, 1
Let q be ((-8)/(-24))/((-8)/(-6)). Let d(b) be the first derivative of 1 + 1/16*b**4 + 3/8*b**2 - 1/4*b**3 - q*b. What is x in d(x) = 0?
1
Let r(z) be the third derivative of -z**8/112 - z**7/105 + z**6/120 + 4*z**2. Factor r(b).
-b**3*(b + 1)*(3*b - 1)
Suppose 2 + 1 = y. Let l be -1 - ((-18)/15)/(4/5). Factor 1/2*j**y + 1/4 - l*j + 0*j**2 - 1/4*j**4.
-(j - 1)**3*(j + 1)/4
Let u = 31 + -26. Factor 3*p**u + 3*p**2 + 6*p + 9*p**2 + 27*p**3 + 15*p**4 + 9*p**2.
3*p*(p + 1)**3*(p + 2)
Let w(a) = a**4 + a**3 + a**2 - a + 1. Let t(p) = -2*p**5 + 12*p**3 + 20*p**2 - 18*p + 6. Let l(x) = -t(x) + 6*w(x). Factor l(u).
2*u*(u - 1)**2*(u + 2)*(u + 3)
Let o(r) = -r**5 + 4*r**4 + 4*r**3 - r**2 + 3*r. Let n(s) = -s**5 + 5*s**4 + 5*s**3 - s**2 + 4*s. Let d(t) = 3*n(t) - 4*o(t). Factor d(z).
z**2*(z - 1)**2*(z + 1)
Let a be -2 + 2 + -3 + 3. Factor a*z**2 - 2/3*z**4 + 0 + 0*z + 2/3*z**3.
-2*z**3*(z - 1)/3
Let z(p) = p**2 - 30*p + 198. Let m(a) = -a + 1. Let w(r) = 2*m(r) - z(r). Determine u so that w(u) = 0.
14
Let x be (-3)/6*2*0. Let m(c) = c + 2. Let h be m(x). Factor -2 - 9*t**h + 3 + 8*t**2.
-(t - 1)*(t + 1)
Factor 3/7*w**4 + 0*w + 0*w**3 + 0 - 3/7*w**2.
3*w**2*(w - 1)*(w + 1)/7
Suppose 0 + 10/9*r + 2/9*r**3 + 4/3*r**2 = 0. What is r?
-5, -1, 0
Let m be ((-6)/11 + 1)/((-1425)/(-1710)). Let 8/11 - 2/11*z**2 + m*z = 0. Calculate z.
-1, 4
Let i be (-3 - 9/(-1))*4/32. Suppose 0 + 3/4*j**3 + 0*j**2 - i*j = 0. What is j?
-1, 0, 1
Let y(x) be the first derivative of -x**8/1400 + x**7/1050 + x**6/900 + x**3/3 - 4. Let i(o) be the third derivative of y(o). Factor i(b).
-2*b**2*(b - 1)*(3*b + 1)/5
Let b be 8/(-4) + -3*10/(-12). Let o(d) be the first derivative of -b*d**2 - 1/3*d - 1/12*d**4 - 1 - 1/3*d**3. Let o(s) = 0. Calculate s.
-1
Let b be 1/(-1)*(-4)/2. Let d be (-1)/(b + (-10)/4). Solve d*w**2 + 4 + 1 - 6*w - 1 = 0.
1, 2
Let b(l) be the third derivative of -l**8/23520 + l**7/8820 - l**4/8 + 2*l**2. Let k(z) be the second derivative of b(z). Factor k(g).
-2*g**2*(g - 1)/7
Let a = -2/23 + 31/92. Factor a*y - 3/4*y**2 + 0 + 1/2*y**3.
y*(y - 1)*(2*y - 1)/4
Solve -6 + 4*a**2 + 20*a - 9*a**2 + 5 - 14 = 0.
1, 3
Let p(f) be the first derivative of 1/10*f**4 - 2/15*f**3 - 1/5*f**2 + 2/5*f + 1. Factor p(o).
2*(o - 1)**2*(o + 1)/5
Let b(v) = 3*v**2 - v - 2. Let f be (-4)/((-2)/1*1). Let g(z) = -4*z**2 + 2*z + 3. Let s(a) = f*g(a) + 3*b(a). Factor s(q).
q*(q + 1)
Suppose 2*q - 3 = -0*v + v, 0 = -2*q + 2*v + 2. Let o(w) be the first derivative of -1/2*w**4 - 1/6*w**6 - 2/3*w**3 + 3/5*w**5 + 3 + 3/2*w**q - w. Factor o(l).
-(l - 1)**4*(l + 1)
Let s = -10 + 10. Suppose s = -0*x + 2*x. Solve -1/3*f**2 + x - 1/3*f**3 + 0*f = 0 for f.
-1, 0
Let b(l) = -8*l + 77. Let z be b(9). Factor -2/11*k**2 + 0 + 6/11*k**z + 0*k + 10/11*k**4 + 2/11*k**3.
2*k**2*(k + 1)**2*(3*k - 1)/11
Let z(t) be the third derivative of t**6/40 + t**5/12 - t**4/12 - 14*t**2 - 3*t. Factor z(f).
f*(f + 2)*(3*f - 1)
Suppose 2*b = 4*p + b - 15, -5*p = -5*b - 30. Suppose -1/5 + 2/5*u**2 + 0*u - 1/5*u**4 + 0*u**p = 0. What is u?
-1, 1
Let v(w) = 4 + 5*w**3 - 2*w**4 + 9*w**2 + w - 6*w**3 + 8*w**3. Let t(x) = x**4 - x**3 - x**2 + x - 1. Let y(m) = 6*t(m) + 2*v(m). Let y(q) = 0. What is q?
-1
Let j(v) be the second derivative of v**7/70 + v**6/50 - 3*v**5/100 - v**4/20 - 5*v. Find t such that j(t) = 0.
-1, 0, 1
Let p be 4*(0 + -1) - 0. Let j be 2/p - 5/(-2). Factor -3 + h**j + 3 - 4*h + 4.
(h - 2)**2
Let n(j) be the third derivative of -j**5/4 + 5*j**4/6 + 10*j**3/3 + 2*j**2 - 35*j. Factor n(b).
-5*(b - 2)*(3*b + 2)
Let n(d) be the second derivative of d**5/16 - 5*d**4/12 + 5*d**3/24 + 15*d**2/4 - 32*d. What is p in n(p) = 0?
-1, 2, 3
Let f be 2/(-4 - -5)*(-3)/(-9). Suppose f - 1/3*x - 1/3*x**2 = 0. What is x?
-2, 1
Let m be (-8)/(-68) - (2/17 - 2). Factor m + 7/2*d**3 - 9/2*d**2 - 6*d.
(d - 2)*(d + 1)*(7*d - 2)/2
Let k(n) = n**3 + 5*n**2 + 6*n. Let o be k(-4). Let c = o - -8. Factor c*h**2 - h + h**3 - 1/2*h**4 + 1/2.
-(h - 1)**3*(h + 1)/2
Suppose -2*s + 3*s - 2 = 0. Solve 3*x**2 + 0*x**s - 3*x**3 + 0*x**3 + 0*x**2 = 0 for x.
0, 1
Let t(d) be the second derivative of 3*d + 0*d**3 + 1/147*d**7 + 0*d**2 - 1/35*d**6 + 3/70*d**5 + 0 - 1/42*d**4. Solve t(b) = 0 for b.
0, 1
Let f be (8/(-6))/(8/36). Let c be ((-2)/f)/(2/12). Factor c*o**5 - o**4 + o**4.
2*o**5
Let g = -7 - -10. Let s = -10 - -12. Solve d**g - 6*d**2 + 4*d + 5*d**3 + d - s*d**4 - 3*d = 0 for d.
0, 1
Let i(o) be the first derivative of o**3/12 - o/4 - 4. Factor i(m).
(m - 1)*(m + 1)/4
Solve 0 + 8/3*w**3 + 2/3*w**4 - 2/3*w**5 + 0