be -2*(-1 - (-15)/25). Suppose -l*x + 2/5 + 2/5*x**2 = 0. Calculate x.
1
Let a(v) = v**3 - 7*v**2 + 7*v - 6. Let j be a(6). Let r = -397/3 + 133. What is q in j*q + 0 + 0*q**2 + r*q**4 - 4/3*q**3 = 0?
0, 2
Let g be (9/(-24))/((-3)/4). Suppose -5*c - 4*w + 1 = 0, c - w + 1 = 3*c. Factor g*v**4 - 3/2*v**2 - c + 5/2*v - 1/2*v**3.
(v - 1)**3*(v + 2)/2
Suppose -j = -0*j - 7. Factor 5*m + 2*m + m**2 - j*m + m**3.
m**2*(m + 1)
Let k(g) be the second derivative of -g**6/780 - g**5/390 + g**4/156 + g**3/39 + 2*g**2 + 5*g. Let s(p) be the first derivative of k(p). Factor s(l).
-2*(l - 1)*(l + 1)**2/13
Suppose -u + 4*j = 5, 1 = u + j - 9. Factor -27*c + 4*c**3 - 14*c**3 - 18*c**2 + u*c**3.
-3*c*(c + 3)**2
Let h be 38/42 + 4/(-7). Let d(c) be the second derivative of 0 - h*c**3 - 1/75*c**6 + 1/10*c**4 + 2/5*c**2 - 3*c + 1/50*c**5. Find a, given that d(a) = 0.
-2, 1
Let m(u) be the third derivative of -u**7/42 + u**6/12 + u**5/12 - 5*u**4/12 + 12*u**2. Solve m(n) = 0 for n.
-1, 0, 1, 2
Let m(d) = -d + 13. Let i be m(-7). Suppose -a - 16 = -i. Factor 4/3*y**a - y**2 + 0*y**3 + 0 - 1/3*y.
y*(y - 1)*(2*y + 1)**2/3
Suppose n = 5*r - 9, -r - 5*n + 2 = -5. Let 3*a**2 - 1 + 11*a + 2 - r*a + 5 = 0. What is a?
-2, -1
Let c(z) be the second derivative of z**8/2240 - 3*z**7/1120 + z**5/40 + 2*z**3/3 + 3*z. Let p(w) be the second derivative of c(w). Find r, given that p(r) = 0.
-1, 0, 2
Suppose f - 3*f + 8 = 0. Factor g**3 - g**2 + 5*g**4 - g - 2*g**3 - 4*g**f + 2*g.
g*(g - 1)**2*(g + 1)
Let i(w) be the first derivative of -w**7/210 + w**6/75 - w**5/300 - w**4/60 + 4*w**2 - 8. Let c(u) be the second derivative of i(u). Solve c(h) = 0 for h.
-2/5, 0, 1
Suppose -g + 1 + 3 = 0. Suppose -3*z = -g*z. Factor z - 2/5*u**5 + 0*u**3 + 2/5*u - 4/5*u**2 + 4/5*u**4.
-2*u*(u - 1)**3*(u + 1)/5
Let m(p) be the first derivative of 3 - 27/2*p**2 - 27*p - 3*p**3 - 1/4*p**4. Factor m(k).
-(k + 3)**3
Let p = 11 + -7. Determine v, given that -1 - 7*v + 1 + 2*v**5 - 4*v**p + 4*v**2 + 5*v = 0.
-1, 0, 1
Let q(w) be the first derivative of -w**5/100 + 3*w - 1. Let k(n) be the first derivative of q(n). Factor k(a).
-a**3/5
Let n(p) be the first derivative of p**4/28 - p**3/21 - p**2/7 - 48. Factor n(y).
y*(y - 2)*(y + 1)/7
Let d(k) = k**3 - k**2 - k + 1. Let u(b) = -8*b**3 + 96*b**2 - 568*b + 480. Let i(s) = -4*d(s) - u(s). Solve i(p) = 0.
1, 11
Let q(s) be the third derivative of s**7/2520 - s**6/720 - s**4/12 + 3*s**2. Let l(d) be the second derivative of q(d). Solve l(v) = 0 for v.
0, 1
Factor 0 - 2/5*w - 24/5*w**4 - 26/5*w**3 - 12/5*w**2 - 8/5*w**5.
-2*w*(w + 1)**2*(2*w + 1)**2/5
Let j(z) = z + 9. Let b be j(-4). Suppose 0 = -m - 0*l + l + 5, -b*m - 5*l + 5 = 0. Find c, given that -2/11*c**m - 2/11*c**2 + 2/11*c + 2/11 = 0.
-1, 1
Let u(l) be the third derivative of l**6/1620 - l**5/270 + l**4/108 + 4*l**3/3 + 5*l**2. Let s(y) be the first derivative of u(y). Suppose s(q) = 0. What is q?
1
Suppose 3 - 15 = -6*m. Let c(w) be the first derivative of 3/4*w**4 + 0*w**3 + 0*w - 1 - 3/2*w**m. Find q such that c(q) = 0.
-1, 0, 1
Solve 0*r - 1/3*r**2 + 0 + 1/3*r**3 = 0 for r.
0, 1
Let j(i) be the second derivative of -1/12*i**3 + 5/48*i**4 + 0*i**2 + 1/120*i**6 - 2*i - 1/20*i**5 + 0. Determine b so that j(b) = 0.
0, 1, 2
Let t(g) = 0*g - 6*g - 3*g**2 - 4*g - 14. Let p(y) = -6*y**2 - 19*y - 29. Let q(z) = 2*p(z) - 5*t(z). Solve q(x) = 0.
-2
Suppose -3*q + 12 = -k, 4 = k + 2*q - q. Factor 0 + 0*i + 2/5*i**2 - 6/5*i**4 - 4/5*i**5 + k*i**3.
-2*i**2*(i + 1)**2*(2*i - 1)/5
Let a(u) be the second derivative of -3*u**5/2 + 17*u**4/6 - 32*u**3/15 + 4*u**2/5 + 4*u. Solve a(r) = 0 for r.
1/3, 2/5
Let g = -26 + 28. Let x(v) be the first derivative of 3 + 0*v - 8/5*v**5 + 11/8*v**4 + 7/12*v**6 + 0*v**g - 1/3*v**3. Factor x(u).
u**2*(u - 1)**2*(7*u - 2)/2
Let i(a) be the third derivative of a**8/840 - a**6/300 - a**2. Suppose i(d) = 0. What is d?
-1, 0, 1
Suppose 5*u - 6 = -1. Let h be u*2/(6/9). Factor 5*l - 5 - 3*l + 2*l**h + 5 + 4*l**2.
2*l*(l + 1)**2
Let g be (-2 + 1)*(-3 + 4). Let z be (g - (-4)/10)*-5. Factor 2*x**5 - 5*x**3 + x**z + 2*x**3.
2*x**3*(x - 1)*(x + 1)
Let d(t) be the first derivative of -2*t**5/75 - 4*t**4/5 - 48*t**3/5 - 288*t**2/5 - 864*t/5 - 14. Factor d(j).
-2*(j + 6)**4/15
Factor -191 - 26*p + 4*p**2 + 66*p + 291.
4*(p + 5)**2
Let m = 159043/80 + -1988. Let c(w) be the second derivative of -1/48*w**4 + 0 + 0*w**2 + 3*w + 0*w**3 - m*w**5. Let c(p) = 0. What is p?
-1/3, 0
Let w(c) be the second derivative of 3*c**5/160 - c**4/32 - c**3/8 - 21*c. Solve w(q) = 0 for q.
-1, 0, 2
Let v(z) be the second derivative of 1/105*z**6 - 1/21*z**4 + 0 + 0*z**2 - 3*z + 1/70*z**5 + 0*z**3. Factor v(x).
2*x**2*(x - 1)*(x + 2)/7
Suppose 4*l - 5*h + 3*h = -2, 2*l = 4*h - 10. Let b(y) = -2*y**2 - 3. Let i(r) = -1. Let o(c) = l*b(c) - 3*i(c). Factor o(w).
-2*w**2
Factor -13*g + g - 4*g**2 - 4*g - 16.
-4*(g + 2)**2
Factor 1/3*u**2 + 1/3 - 2/3*u.
(u - 1)**2/3
Suppose -12*x = -11*x. Let t(d) be the first derivative of 1/10*d**4 + 0*d**3 + 2/25*d**5 + 2 + x*d**2 + 0*d. Suppose t(r) = 0. Calculate r.
-1, 0
Suppose -1 - 5 = -3*m. Let f(i) = -2*i - 2 + 3*i + 3 + 2*i**m. Let c(g) = -1. Let z(r) = 2*c(r) + f(r). Factor z(h).
(h + 1)*(2*h - 1)
Suppose 5*j - 18 = 2*j. Let m be ((-20)/(-6))/(j/9). Factor 8*x**4 - 17*x**3 + 38*x**2 + 8 - 2*x**5 - 7*x - 8*x**3 - 21*x + x**m.
-(x - 2)**3*(x - 1)**2
Let v(z) be the second derivative of -2*z - 1/30*z**4 + 0*z**3 + 0 + 0*z**2. Factor v(q).
-2*q**2/5
Let h = -3 - -8. Let s(r) be the third derivative of 0*r + 1/30*r**6 + 0 + 1/24*r**4 + 2*r**2 + 0*r**3 + 1/12*r**h. Factor s(w).
w*(w + 1)*(4*w + 1)
Let m(i) be the third derivative of -1/120*i**5 + 0 + 1/3*i**3 + 1/720*i**6 + 0*i + 0*i**4 - 2*i**2. Let w(c) be the first derivative of m(c). Factor w(r).
r*(r - 2)/2
Let c(j) = 2*j - 2. Let b be c(-3). Let o(h) = -h**3 - 7*h**2 + 9*h + 11. Let a be o(b). Factor 2*r + 15*r**a - 3*r**3 - 2*r**2 + 12*r**2.
2*r*(2*r + 1)*(3*r + 1)
Let s(k) = -17*k**3 - 27*k**2 - 9*k + 4. Let p(i) = -16*i**3 - 26*i**2 - 8*i + 4. Suppose 8 = -2*o + 4. Let h(l) = o*s(l) + 3*p(l). Factor h(m).
-2*(m + 1)**2*(7*m - 2)
Let x be (-5 - -8)/(6/8). Let k(s) be the second derivative of 0 + 0*s**2 + 1/36*s**x - 1/18*s**3 + s. Factor k(j).
j*(j - 1)/3
Let o(l) be the third derivative of l**9/241920 - l**8/80640 - l**5/60 + 2*l**2. Let a(u) be the third derivative of o(u). Solve a(w) = 0 for w.
0, 1
Suppose -5*z - 15 = -0*z, 0 = -2*b - 3*z - 3. Let m(l) = -l + 7. Let f be m(5). Factor -3 + 3 + 2*s**b + 2 - f*s - 2*s**2.
2*(s - 1)**2*(s + 1)
Let c(k) be the first derivative of k**5/60 + 3*k**2/2 - 6. Let l(d) be the second derivative of c(d). Factor l(p).
p**2
Let x(c) = -c - 6 + 2*c - 2. Let p be x(8). Factor p - 1/2*v - 1/2*v**2.
-v*(v + 1)/2
Suppose 1/2 + o + 1/2*o**2 = 0. What is o?
-1
Let z(w) be the first derivative of -25/18*w**4 - 4/9*w**2 - 40/27*w**3 + 0*w - 1. Factor z(j).
-2*j*(5*j + 2)**2/9
Let p(b) = -b**3 - 10*b**2 - 15*b + 5. Let i be p(-8). Let r = -3 - i. Find k, given that r - 3*k + 3/2*k**2 = 0.
0, 2
Suppose 7*u - 5*u = 4. Factor -4/5*p + 2/5 + 2/5*p**u.
2*(p - 1)**2/5
Let c(w) be the third derivative of w**6/480 + w**5/240 - w**4/96 - w**3/24 + 19*w**2. What is q in c(q) = 0?
-1, 1
Suppose 0*u + 9 = 3*u. Suppose 0 = u*b - 4*b. Find w, given that 0*w**4 + 0*w**2 + 0*w + 1/3*w**3 + b - 1/3*w**5 = 0.
-1, 0, 1
Let c(p) = -2*p + 1. Let l be c(-1). Suppose 3*d - z - 7 = 11, -4*d - z + 24 = 0. Let d*m**2 + 0*m**l - 4*m**3 + 0*m**3 - 4*m + m**4 + 1 = 0. Calculate m.
1
Suppose -2*y = 2*y - 12. Factor 4*c - 3*c + 21*c**2 + y*c + 2*c.
3*c*(7*c + 2)
Determine w so that 0 - 1/4*w**4 + 1/4*w**2 + 0*w + 0*w**3 = 0.
-1, 0, 1
Let t(l) be the third derivative of -l**7/1260 - l**6/360 + l**5/120 + l**4/36 - l**3/9 + 23*l**2. Factor t(s).
-(s - 1)**2*(s + 2)**2/6
Suppose 0 = 2*x - 22 + 18. Let k(g) be the first derivative of -1/2*g**x + 3 - 1/6*g**6 - 3/2*g**4 + 4/5*g**5 + 4/3*g**3 + 0*g. Factor k(z).
-z*(z - 1)**4
Let o(r) be the third derivative of 2*r**8/21 + 44*r**7/105 + 9*r**6/20 + 5*r**5/24 + r**4/24 + r**2. Factor o(q).
q*(q + 2)*(4*q + 1)**3/2
Let b(j) be the third derivative of -2*j**7/245 + j**6/210 + 4*j**2. What is q in b(q) = 0?
0, 1/3
Let b(r) be the first derivative of -r**5/2 + 13*r**4/6 + 2*r**3 