 h be -1 - (-1 + 2/(-6)). Let q = -142 + 144. Factor -1/3*s + h*s**q - 2/3.
(s - 2)*(s + 1)/3
Let g(t) be the second derivative of t**5/15 - 4*t**4/9 + 10*t**3/9 - 4*t**2/3 - 23*t. Let g(y) = 0. Calculate y.
1, 2
Let r be -16 - ((-2)/(-1))/1. Let a = -13 - r. Suppose 0*l**a + 2*l**5 + 3*l**4 - l**4 = 0. Calculate l.
-1, 0
Let c = -108 - -114. Let o(y) be the third derivative of 0*y**3 - y**2 + 1/18*y**4 + 0*y - 1/90*y**5 - 1/180*y**c + 0. Factor o(d).
-2*d*(d - 1)*(d + 2)/3
Let h be (18/(-189))/(2/(-3)). Let 1/7 - 2/7*l + h*l**2 = 0. Calculate l.
1
Let d be -12 - -10 - ((-10)/3 - -1). Let d*v + 0 - 1/6*v**2 + 1/6*v**4 - 1/2*v**3 + 1/6*v**5 = 0. What is v?
-2, -1, 0, 1
Let g be 0*(2 + (-1 - 0)). What is v in v**4 + v**2 + v**3 + 0*v**4 + g*v**3 + v**3 = 0?
-1, 0
Let p be (24/(-132))/((-4)/(-62)) + 3. Let v(a) be the first derivative of -p*a + 2/11*a**2 + 1 - 2/33*a**3. Factor v(c).
-2*(c - 1)**2/11
Let v(f) = -4*f - 10. Let h be v(-3). What is x in 3/4*x**h + 3 - 3*x = 0?
2
Let j(b) be the third derivative of -b**8/3192 - 2*b**7/665 - 7*b**6/570 - 8*b**5/285 - 3*b**4/76 - 2*b**3/57 + 7*b**2. Determine r, given that j(r) = 0.
-2, -1
Let p(n) be the first derivative of -4/9*n + 1 + 10/9*n**3 - 19/18*n**4 - 1/9*n**2 + 14/45*n**5. Find a such that p(a) = 0.
-2/7, 1
Let o(z) = z**3 + 8*z**2 + 6*z - 4. Let b be o(-7). Factor 0*s**5 - s**3 + 3*s**4 - 7*s**4 - b*s**5.
-s**3*(s + 1)*(3*s + 1)
Factor 5/3*f**2 + 4/3*f**3 - 7/3*f - 2/3.
(f - 1)*(f + 2)*(4*f + 1)/3
Let b(r) = -r - 5. Let s be b(-8). Let -61*p - 4*p**s + 2*p**4 - 2*p**2 + 0*p**4 + 65*p = 0. What is p?
-1, 0, 1, 2
Let x(o) be the third derivative of 0 - 2/105*o**5 + o**2 + 1/84*o**4 + 2/21*o**3 + 0*o - 1/140*o**6. Factor x(w).
-2*(w + 1)**2*(3*w - 2)/7
Let n be ((-15)/(-10))/((-3)/4). Let h = 5 + -1. Let o(g) = g**2 + 2*g - 1. Let m(u) = -1. Let i(y) = h*m(y) + n*o(y). Factor i(j).
-2*(j + 1)**2
Suppose 5*w + 8*i = 4*i, 0 = 2*w + 2*i. Let t = 2/45 - -16/45. Suppose w - 2/5*o**4 + 4/5*o**2 + 0*o + t*o**3 = 0. Calculate o.
-1, 0, 2
Let l = -76 - -79. Let n = 3 + -7/3. Factor 6*m**l + 8/3*m**5 + 22/3*m**4 + 0 + n*m**2 - 2/3*m.
2*m*(m + 1)**3*(4*m - 1)/3
Let z be (2/((-84)/54))/(-1). What is w in 1/7*w**2 + 6/7*w + z = 0?
-3
Let u = -2/365 - -1103/1460. Find v, given that 0 - 3/4*v**2 + u*v - 3/4*v**3 + 3/4*v**4 = 0.
-1, 0, 1
Determine p so that 2*p**3 - 1/2 - 1/2*p**4 + 2*p - 3*p**2 = 0.
1
Let u be -1 + (2 - 0) + -1. Let s = 0 - u. Solve 5*z**5 + 2*z - 11*z**4 - 6*z**4 + s*z**5 - 4*z**3 + 25*z**3 - 11*z**2 = 0 for z.
0, 2/5, 1
Let j(s) = -3*s**3 - 3*s. Let i(z) = -z**4 - z**3 - z. Suppose -2*g + 3*r = -18, -4*r - 5 = 4*g - 1. Let w(q) = g*i(q) - j(q). Factor w(a).
-3*a**4
Let h(x) be the third derivative of -x**5/75 + x**4/15 - 2*x**3/15 - 8*x**2. Find t such that h(t) = 0.
1
Let 3 + 8*w + 16*w**2 - 6*w - 17*w**2 = 0. Calculate w.
-1, 3
Let u(c) be the third derivative of 1/3*c**3 + 1/24*c**4 + 0 - c**2 - 1/20*c**5 + 0*c. Factor u(i).
-(i - 1)*(3*i + 2)
Let w(p) be the third derivative of p**8/26880 - p**7/2016 + p**6/360 - p**5/120 + p**4/6 - 5*p**2. Let x(y) be the second derivative of w(y). Factor x(g).
(g - 2)**2*(g - 1)/4
Let z(h) be the third derivative of -h**5/12 + 5*h**4/12 - 5*h**3/6 + 17*h**2. Factor z(o).
-5*(o - 1)**2
Let a be 3*(2 + -3 - -2). Solve 3*m + 0*m + 0*m - a*m**3 = 0.
-1, 0, 1
Let b(a) be the first derivative of 5/12*a**3 + 1/20*a**5 - 4 + 0*a + 1/4*a**4 + 1/4*a**2. Factor b(y).
y*(y + 1)**2*(y + 2)/4
Let x(u) be the first derivative of -u**4/3 + 4*u**3/9 + 21. Factor x(t).
-4*t**2*(t - 1)/3
Determine v, given that v - v**3 - v**2 - 2*v**3 - v**2 + 4*v**3 = 0.
0, 1
Let b be (-11148)/5222 + (-33)/(-11). Let z = b + -3/373. What is y in -z*y**4 + 2/7 - 2/7*y**5 + 6/7*y + 4/7*y**2 - 4/7*y**3 = 0?
-1, 1
Suppose -5*p + 5*k + 50 = 0, 6*k + 20 = 2*k. Let o(q) be the third derivative of -1/9*q**3 - 1/12*q**4 - 1/180*q**6 + 0 - 1/30*q**p + 0*q + 3*q**2. Factor o(d).
-2*(d + 1)**3/3
Let w = 11 - 11. Factor w*i - i - i**2 + 3*i**2 + 2 - 3*i.
2*(i - 1)**2
Let w(z) be the first derivative of -5/3*z**3 + 7/24*z**6 + 1/10*z**5 - 7 + 0*z - 21/16*z**4 - 1/2*z**2. Find t, given that w(t) = 0.
-1, -2/7, 0, 2
Suppose r + 0*r = -4*x + 10, -4*r - 3*x = -27. Let c be (-3)/((-3)/r*21). Factor -4/7*l**2 + 6/7*l**4 - 6/7*l - 2/7 + c*l**5 + 4/7*l**3.
2*(l - 1)*(l + 1)**4/7
Let q be (8/(-28) - 5/(-42))*-2. Let m(y) be the second derivative of -y + 1/6*y**4 - 1/10*y**5 + q*y**3 + 0 - y**2. Factor m(b).
-2*(b - 1)**2*(b + 1)
Let d = 4 + -4. Let 2/5*y**2 + d + 2/5*y = 0. Calculate y.
-1, 0
Let p(t) be the first derivative of 4 + 2/33*t**3 + 0*t - 1/11*t**2. Solve p(u) = 0 for u.
0, 1
Let c(j) be the third derivative of -j**2 + 0*j + 0 - 2/27*j**3 + 5/108*j**4 + 1/90*j**5. Factor c(o).
2*(o + 2)*(3*o - 1)/9
Let d(j) = j**3 - 3*j**2 + 2*j + 2. Let c be d(3). Suppose 2*a - 23 = -5*q, -c*q + 2*a = -3*q - 27. Factor 0*t**4 + 2*t**4 + 5*t**q - 3*t**5.
2*t**4*(t + 1)
Let b(x) = x**4 + x**3 - 7*x**2 - 4*x + 3. Let o(p) = 2*p**4 + p**3 - 6*p**2 - 3*p + 2. Let z(d) = -4*b(d) + 6*o(d). What is a in z(a) = 0?
-1, -1/4, 0, 1
Let d be 56/168*-6*(-6)/7. Factor 2/7*g**4 + d*g**2 - 8/7*g**3 - 8/7*g + 2/7.
2*(g - 1)**4/7
Let i(k) = k - 3. Let v be i(5). Suppose v*x = 3*x. Let 2/3*a**2 + 0*a**3 + x*a + 0 - 2/3*a**4 = 0. What is a?
-1, 0, 1
Let x be 2/(-19) - (-14)/133. Let o(u) be the first derivative of -2 - 4/15*u**3 + 3/10*u**4 + x*u + 0*u**2 + 2/5*u**5. Let o(k) = 0. Calculate k.
-1, 0, 2/5
Let y be (6/24)/(2 - 1). What is s in 1/4 + 3/4*s**2 - y*s**3 - 3/4*s = 0?
1
Suppose -3*w - c - c = 0, 3*c = 3*w - 15. Let j(n) = 2*n - 2. Let i be j(w). Factor 3*z - 4*z + 2 - 3*z**2 + 2*z**i.
-(z - 1)*(z + 2)
Find d, given that -2/9*d**3 + 0*d + 0 + 2/9*d**4 + 2/9*d**5 - 2/9*d**2 = 0.
-1, 0, 1
Factor 2*z**3 + z**5 + 24*z**4 - 18*z**4 + 3*z**5 - 12*z**4.
2*z**3*(z - 1)*(2*z - 1)
Let f(l) be the third derivative of 0*l + 4*l**2 + 1/20*l**5 + 1/112*l**8 - 1/70*l**7 + 0*l**4 + 0*l**3 - 1/40*l**6 + 0. What is a in f(a) = 0?
-1, 0, 1
Let r = -5 + 5. Suppose 2*u = -r*u - k + 5, -5*u + 13 = 3*k. Find j, given that 0 + 2/7*j**3 - 4/7*j**u + 2/7*j = 0.
0, 1
Let n = -41250/413 + 2100/59. Let j = -64 - n. Factor -2/7*s - 4/7*s**2 + 4/7*s**4 + 0*s**3 + j*s**5 + 0.
2*s*(s - 1)*(s + 1)**3/7
Suppose 0 = -0*o + 2*o - q - 8, 3*o = 4*q + 22. Let 0*k + 3*k**o - 6 + 2*k - 5*k = 0. What is k?
-1, 2
Let r be 7/((-70)/(-48)) - 4. Find v such that 2/5*v + 2/5*v**5 - r*v**3 + 2/5*v**4 + 2/5 - 4/5*v**2 = 0.
-1, 1
Let u(b) be the second derivative of 0*b**3 - 1/10*b**2 + 0 + 10*b + 1/60*b**4. Factor u(f).
(f - 1)*(f + 1)/5
Let i(f) be the third derivative of 1/840*f**7 + 1/160*f**6 + 0*f + 0*f**3 - 8*f**2 + 0*f**4 + 0*f**5 + 0. Determine j so that i(j) = 0.
-3, 0
Let z(q) be the third derivative of 1/12*q**4 + 0 + 0*q**3 - 3*q**2 - 1/30*q**5 + 0*q. Factor z(x).
-2*x*(x - 1)
Let a(z) be the third derivative of 1/54*z**4 - z**2 + 0 + 0*z**3 + 1/270*z**5 + 0*z. Factor a(q).
2*q*(q + 2)/9
Let g(l) = l + 1. Let a(r) = -r**2 + r + 1. Let p(n) = 6*a(n) + 2*g(n). Find u such that p(u) = 0.
-2/3, 2
Let p be (-112)/(-24) - (-1)/3. Factor 2*q**2 - 6 - p*q**2 + 4*q + 6*q**2 - q.
3*(q - 1)*(q + 2)
Let y(p) = -p**2 + 10*p + 13. Let r be y(11). Factor 1008*u**3 + 80*u + 16/3 + 891*u**4 + 243*u**5 + 1304/3*u**r.
(u + 1)*(u + 2)*(9*u + 2)**3/3
Let d be -1*1 + 10 + -7. Let f = d + 1. What is w in 4/7*w**f - 6/7*w**2 + 0*w + 2/7 = 0?
-1/2, 1
Let j(c) be the third derivative of -c**8/1176 + c**7/735 + c**6/140 - c**5/210 - c**4/42 - 43*c**2. Suppose j(f) = 0. Calculate f.
-1, 0, 1, 2
Let y(m) be the third derivative of 1/672*m**8 + 1/30*m**6 + 0*m**3 - 3/16*m**4 - 5*m**2 - 1/20*m**5 + 0*m + 0 + 1/70*m**7. Determine o, given that y(o) = 0.
-3, -1, 0, 1
Let g(f) be the first derivative of -f**6/150 + f**4/60 - 2*f - 1. Let w(v) be the first derivative of g(v). Factor w(z).
-z**2*(z - 1)*(z + 1)/5
Find i such that -18/17*i**3 - 4/17*i**2 + 72/17*i + 16/17 = 0.
-2, -2/9, 2
Suppose -f**2 - 16/7*f - 4/7 = 0. What is f?
-2, -2/7
Let n = -7 - -4. Let b(j) = 9*j**2 + 4*j - 8. Suppose -4 = 3*i + 11. Let p(z) = -5*z**2 - 2*z + 4. Let v(k) = i*p(k) + n*b(k). Let v(o) = 0. What is o?
-2, 1
Let p(r) be the third derivative of -r**8/13440 + r**7/1680 - r**6/480 + r**5/240 - r**4/8 - 5*