. Calculate u.
-1, 2
Let v(g) = -11*g - 360. Let x be v(-33). Find s such that 0 - 2/7*s**x - 4/7*s**2 + 0*s = 0.
-2, 0
Let r(k) be the second derivative of 0*k**3 - 1/28*k**4 - 3/140*k**5 + 0 - 8*k + 0*k**2. Let r(a) = 0. Calculate a.
-1, 0
Let u be (-4 - (-1 - 4)) + 1. Factor -1/2*t**u - 1/2*t + 0.
-t*(t + 1)/2
Let r(a) = a**3 + 7*a**2 - a - 2. Let s be r(-7). Suppose 2*i = -1 + s. Factor 4*q**4 - q**2 + 2*q - 2*q**5 - q**2 - 2*q**i.
-2*q*(q - 1)**3*(q + 1)
Let o be 0 + 1 + (-2)/(-2). Factor -12*n**2 + 12*n**2 + 4 - 6*n + o*n**3.
2*(n - 1)**2*(n + 2)
Let t(s) be the third derivative of -s**5/45 + 7*s**4/36 + 4*s**3/9 - 35*s**2. Factor t(m).
-2*(m - 4)*(2*m + 1)/3
Let i(g) be the first derivative of -g**3/2 + 3*g/2 - 45. Suppose i(r) = 0. Calculate r.
-1, 1
Let y(t) be the second derivative of -t**7/112 - t**6/16 - 21*t**5/160 - 3*t**4/32 + 15*t. Find x, given that y(x) = 0.
-3, -1, 0
Let z(o) be the second derivative of 0 - 1/12*o**4 + 1/60*o**5 - 4*o + 0*o**3 - 1/2*o**2. Let m(d) be the first derivative of z(d). Factor m(t).
t*(t - 2)
Let t(z) = -z - 2. Let g be t(-6). Suppose 0*x - g*x = 0. Factor x + 4 + 2*m - 2*m**2 + 0*m.
-2*(m - 2)*(m + 1)
Let z be (30/(-12))/(2/(-4)). Suppose z*t = 2*x, -2*x - 3*t = t. Factor -2/9*s**2 + 2/9 + x*s.
-2*(s - 1)*(s + 1)/9
Let b(o) be the first derivative of -4*o**3/21 + 8*o**2/7 - 7. What is q in b(q) = 0?
0, 4
Let g = -149/3 + 50. Solve 1/3*k**3 - 1/3 - g*k + 1/3*k**2 = 0 for k.
-1, 1
Let c(y) be the first derivative of 0*y**2 + 0*y**3 + 0*y + 1/2*y**5 + 4 + 1/3*y**6 + 1/8*y**4. Find w, given that c(w) = 0.
-1, -1/4, 0
Let a(s) be the second derivative of -4*s + 0*s**4 + 0*s**3 + 0*s**6 - 1/147*s**7 + 0*s**2 + 0 + 1/70*s**5. Suppose a(m) = 0. What is m?
-1, 0, 1
Let -40*l**2 + 3*l + 13*l + 4*l + 25*l**4 - 35*l**3 = 0. Calculate l.
-1, 0, 2/5, 2
Let j = -103 - -107. Let u(r) be the first derivative of -54/5*r**5 - 4*r - 81/2*r**j - 19*r**2 - 1 - 42*r**3. Solve u(l) = 0 for l.
-2, -1/3
Let f = 5/13 + 29/26. Factor -3/2*h**2 + 0 - f*h.
-3*h*(h + 1)/2
Let r(p) be the first derivative of -3 + 2/7*p**4 + 1/7*p**2 + 0*p - 10/21*p**3. Find z such that r(z) = 0.
0, 1/4, 1
Let x be (21/(-5) - -4)*10/(-3). Factor -2/3 - 4/3*o - x*o**2.
-2*(o + 1)**2/3
Let c(n) be the first derivative of n**3/15 - n**2/5 + n/5 + 2. Solve c(j) = 0 for j.
1
Let d be (2/(-6))/(2/(-60)). Factor -2*r**3 - 9*r**5 + r - d*r**3 - r - 24*r**4.
-3*r**3*(r + 2)*(3*r + 2)
Let z(a) be the second derivative of -a**4/21 + 20*a**3/21 - 50*a**2/7 - 7*a + 2. Factor z(b).
-4*(b - 5)**2/7
Let t(m) = 10*m**3 + 18*m**2 + m - 7. Let r(z) = -5*z**3 - 9*z**2 - z + 3. Suppose -5*l + 34 = 4. Let v(h) = l*t(h) + 15*r(h). Find k such that v(k) = 0.
-1, 1/5
Let b(s) be the second derivative of 5*s**7/42 - s**6/6 - s**5/4 + 5*s**4/12 + 14*s. Factor b(w).
5*w**2*(w - 1)**2*(w + 1)
Let m(n) be the first derivative of -n**7/105 + n**6/30 - n**4/6 + n**3/3 - 5*n**2/2 - 1. Let w(j) be the second derivative of m(j). What is r in w(r) = 0?
-1, 1
Find w, given that -347*w + 4*w**2 + 172*w + 165*w + w**2 = 0.
0, 2
Let u be (-4 + 7)*8/6. Let m be 1/((2 + -1)/2). Factor m*a + a**u + a - a - 1 - 2*a**3.
(a - 1)**3*(a + 1)
Let v(f) = f**3 + 3*f**2 - 8*f - 1. Let y be v(2). Factor 0*p**2 + 1/6*p**4 + 1/3*p - 1/3*p**y - 1/6.
(p - 1)**3*(p + 1)/6
Factor 11*r**4 + 5*r**4 - 10*r**2 - 10*r**3 + 2*r**2 - 18*r**3.
4*r**2*(r - 2)*(4*r + 1)
Let c = -862 + 864. Find f, given that 1/7*f**3 + 0*f**c - 1/7*f + 0 = 0.
-1, 0, 1
Let c(b) = 3*b - 30. Let z be c(10). Let k(a) be the second derivative of 2*a + 2/9*a**3 - 1/6*a**2 - 1/90*a**6 + z - 1/6*a**4 + 1/15*a**5. Factor k(d).
-(d - 1)**4/3
Let d(p) be the third derivative of 0*p**4 + 1/180*p**6 + 0*p + 0*p**3 - 1/90*p**5 + 0 + 4*p**2. Factor d(k).
2*k**2*(k - 1)/3
Let b(g) be the third derivative of -g**8/336 - g**7/30 - 19*g**6/120 - 5*g**5/12 - 2*g**4/3 - 2*g**3/3 - 4*g**2. Suppose b(m) = 0. Calculate m.
-2, -1
Let z = 427/654 - -3/218. Solve -r - z - 1/3*r**2 = 0.
-2, -1
Let d(r) = r. Let k(z) = z**2 - 4*z. Let q(b) = -35*d(b) - 5*k(b). Factor q(s).
-5*s*(s + 3)
Let t be 0 - (-3 + -1 + -1). Suppose d - 2 = 4*y, 0 = -t*d + d - 2*y + 8. Factor d*j**3 + 2*j**2 - 4*j**4 + 2*j**3 + 3*j**3.
-j**2*(j - 2)*(4*j + 1)
Let s = 1659/2 - 828. Factor a + s - 1/2*a**2.
-(a - 3)*(a + 1)/2
Suppose -4 = d + 3*d. Let i(c) = -c**4 + c**3 - 1. Let s(b) = -13*b**4 + 37*b**3 - 27*b**2 - 3*b + 8. Let n(h) = d*s(h) - 2*i(h). Find p, given that n(p) = 0.
-2/5, 1
Let x be (-72)/30*(-10)/4. Let n(h) be the second derivative of -1/2*h**2 - 1/10*h**5 + 1/6*h**3 + 0 + 1/42*h**7 - 3*h + 1/6*h**4 - 1/30*h**x. Factor n(w).
(w - 1)**3*(w + 1)**2
Suppose -4*o - 35 = -11*o. Let s(d) be the first derivative of 0*d - 2 + 6/25*d**o - 3/4*d**4 - 3/10*d**2 + 4/5*d**3. Find x such that s(x) = 0.
0, 1/2, 1
Let p(o) = 3*o**3 + 5*o**2 - 8*o - 5. Let r(n) = 2*n**3 + 2*n**2 - 4*n - 2. Let v(y) = 2*p(y) - 5*r(y). Factor v(m).
-4*m*(m - 1)*(m + 1)
What is y in 45*y + 17*y**2 + 58*y**2 + 0*y**4 - 5*y**3 + 10 + 15*y**4 + 60*y**3 = 0?
-1, -2/3
Suppose 0 = n - 5*j + 2*j + 13, j = 5. Let -3/4*v - 1/4*v**n - 1/2 = 0. Calculate v.
-2, -1
Let s(o) = o**3 - 5*o**2 + o - 4. Let v be s(5). Let h be v + 1 - (4 - 2). Determine t so that h - 1 - 3 + 2*t**2 - 2*t = 0.
-1, 2
Let t(c) be the first derivative of 2*c**3/21 + 2*c**2/7 - 6*c/7 - 11. Factor t(u).
2*(u - 1)*(u + 3)/7
Let i(l) be the third derivative of -l**8/480 - l**7/140 - l**6/180 + l**4/12 + 5*l**2. Let w(r) be the second derivative of i(r). Factor w(q).
-2*q*(q + 1)*(7*q + 2)
Let o be 14/(-4) - -3 - 81/(-90). Factor -2/5*n**2 - 2/5*n + 2/5*n**4 + 0 + o*n**3.
2*n*(n - 1)*(n + 1)**2/5
Let n(y) = -y**5 + y**3 + y**2 + 1. Suppose z = 1 - 16. Let w(c) = -6*c**5 + 2*c**4 + 4*c**3 + 5*c**2 + 5. Let v(r) = z*n(r) + 3*w(r). Let v(f) = 0. What is f?
0, 1
Let c(s) = -s**3 - s + 1. Let k(y) = -5*y**3 - 20*y**2 - 53*y + 3. Let p(f) = -3*c(f) + k(f). Factor p(b).
-2*b*(b + 5)**2
What is w in 4/11 + 2/11*w - 2/11*w**2 = 0?
-1, 2
Let o(i) = -i**3 + i**3 - 4*i**3 + 6*i**2 + 2. Let p(b) = 7*b**3 - 11*b**2 + b - 3. Let m(w) = 11*o(w) + 6*p(w). Find v such that m(v) = 0.
-1, 2
Suppose -3*s**4 - 6*s**3 - 10*s**2 + 2*s**5 + 0*s**4 + 18*s**2 - s**4 + 8*s = 0. What is s?
-1, 0, 2
Let o(b) = -b**2 + 3*b + 4. Let x be o(4). Let w be (-3)/1*(x + -1). Solve 4/3*h - 1/3*h**4 + 4/3*h**5 - 1/3 - 8/3*h**w + 2/3*h**2 = 0.
-1, 1/4, 1
Let h(t) = t**2. Let r(b) = -3*b**2 - 2*b + 1. Let a(y) = -4*h(y) - r(y). Suppose a(u) = 0. What is u?
1
Let n(d) be the second derivative of -1/24*d**4 - 1/12*d**3 + 1/40*d**5 + 1/4*d**2 + 3*d + 0. Factor n(l).
(l - 1)**2*(l + 1)/2
Let p(h) = -2. Let r(s) = -2*s**2 + 2*s + 12. Let i(f) = -12*p(f) - 2*r(f). Factor i(d).
4*d*(d - 1)
Let y be ((-1)/2)/(33/(-22)). Find s, given that 1/3 + 2/3*s**3 + y*s**5 - s - s**4 + 2/3*s**2 = 0.
-1, 1
Let 2/9 + 16/9*w + 32/9*w**2 = 0. Calculate w.
-1/4
Let l(i) = -i**3 - 3*i**2 + 4*i + 6. Let f(k) = k**2 - 1. Let c(x) = 2*f(x) + l(x). Suppose c(w) = 0. What is w?
-2, -1, 2
Solve -3*w + 2 + 5*w - 2*w**2 - 3*w + w**2 = 0.
-2, 1
Let y(x) be the first derivative of 2/35*x**5 + 0*x - 1/7*x**2 + 1/14*x**4 + 5 - 2/21*x**3. Factor y(k).
2*k*(k - 1)*(k + 1)**2/7
Factor -1/2*p**2 + 0 + p - p**3 + 1/2*p**4.
p*(p - 2)*(p - 1)*(p + 1)/2
Let t(i) be the first derivative of i**3/9 + i**2/6 - 6. Factor t(x).
x*(x + 1)/3
Suppose -4*v - 20 = -i, 0 = -4*i + 2*v + 4 + 6. Suppose -1/3*f**3 + 0 + 1/3*f + i*f**2 = 0. What is f?
-1, 0, 1
Factor 0 - 3/7*z**4 + 0*z - 3/7*z**2 - 6/7*z**3.
-3*z**2*(z + 1)**2/7
Suppose -146 = -3*g + 127. Suppose -1299 - g = -5*t. Suppose -96*w**5 - t*w**3 - 272*w**4 - 4 - 7*w - 19*w + 2 - 126*w**2 = 0. Calculate w.
-1, -1/3, -1/4
Let g(r) = r**2 + 3*r - 6. Let h be g(-5). Let j(k) be the first derivative of 4 + k - 3/2*k**2 + k**3 - 1/4*k**h. What is o in j(o) = 0?
1
Let o be -2 + (560/147 - 4/6). Let f(n) = n**2 + n + 3. Let k be f(0). What is q in o*q**2 + 4/7 + 10/7*q + 2/7*q**k = 0?
-2, -1
Suppose 2*x = 5*x. Let v(j) be the second derivative of -2*j + x*j**2 + 5/54*j**4 + 1/27*j**3 + 2/45*j**5 + 0. Factor v(p).
2*p*(p + 1)*(4*p + 1)/9
Solve 0 + 0*c**3 + 9/5*c**4 - 3/5*c**2 - 6/5*c**5 + 0*c = 0 for c.
-1/2, 0, 1
Let o(b) be the second derivative of 2*b**6/25 - 3*b**5/20 - 7*b**4/20 + b**3/5 -