at 7/5*d**3 + d**4 + 2/5*d**2 + 0 + 0*d = 0.
-1, -2/5, 0
Let q(n) be the third derivative of -n**5/75 + n**4/10 - 4*n**3/15 + 26*n**2. Let q(s) = 0. Calculate s.
1, 2
Let p(s) be the first derivative of -s**6/30 + s**5/10 - s**4/12 + 3*s - 1. Let t(x) be the first derivative of p(x). Factor t(w).
-w**2*(w - 1)**2
Let x(m) = 6*m**3 - m - 5. Let d(n) = n**3 - 1. Let r(c) = -15*d(c) + 3*x(c). Factor r(q).
3*q*(q - 1)*(q + 1)
Let v(x) be the first derivative of 2*x**6/21 - 12*x**5/35 + 2*x**4/7 + 1. Suppose v(l) = 0. Calculate l.
0, 1, 2
Let c = -1/39 + 167/429. Factor -4/11 + 14/11*q + c*q**4 - 16/11*q**2 - 2/11*q**5 + 4/11*q**3.
-2*(q - 1)**4*(q + 2)/11
Let w(o) be the second derivative of o**5/40 + o**4/12 - 4*o. Suppose w(t) = 0. What is t?
-2, 0
Let w(y) = y**3 + 9*y**2 + 10*y - 3. Let u(g) = -g**2 - g + 1. Let b(t) = 15*u(t) + 3*w(t). Suppose b(r) = 0. What is r?
-2, -1
Let i(p) = -p**2 - 7*p + 3. Suppose 0 = -4*u - 4*s - 48, -22 = u + s + 2*s. Let b be i(u). What is l in 3*l**b + 4/5 - 19/5*l**2 + 0*l = 0?
-2/5, 2/3, 1
Let g = -5 + -3. Let u be 2/(-3) + g/(-3). Factor 8*t**2 + 6 + 10*t + 0 + 2*t**3 - u.
2*(t + 1)**2*(t + 2)
Let v(b) = -b**2 - 8*b + 3. Let o be v(-8). Factor -z**2 + 0*z**3 - z**o - 2*z**4 + 5*z**4 + z**5 - 2*z**4.
z**2*(z - 1)*(z + 1)**2
Let t(c) = 2 + 4*c - 2 - 3*c. Let g be t(3). Factor 0 + 2/3*d**5 - 4/3*d**4 + 0*d**2 + 2/3*d**g + 0*d.
2*d**3*(d - 1)**2/3
Suppose 0 = 3*q - 1 + 4, -3*v + 20 = 4*q. Solve 3*j**4 + 12*j**3 + 18*j**2 + v*j - 7*j**4 - 4*j**5 + 2*j**2 = 0.
-1, 0, 2
Suppose -p + 0 + 2 = 0. Factor p*g**2 - g**2 + g - 2 - 2*g.
(g - 2)*(g + 1)
Let x(u) = u + 4. Let c be x(-2). Let h(d) be the third derivative of -1/96*d**4 + 0*d**3 + 0*d - 1/240*d**5 + 0 + d**c. Solve h(k) = 0 for k.
-1, 0
Let d(y) be the third derivative of y**7/42 - y**6/4 + 5*y**5/12 + 23*y**2. Factor d(f).
5*f**2*(f - 5)*(f - 1)
Let h(c) be the second derivative of c**4/66 + 2*c**3/33 + c**2/11 - 11*c. Suppose h(k) = 0. Calculate k.
-1
Solve 495/2*u**2 - 975/4*u**3 - 93*u + 375/8*u**4 + 12 = 0.
2/5, 4
Let n(t) = -t**3 - 22*t**2 + 23*t. Let a be n(-23). Suppose -1/2*c + a + 0*c**2 + 1/2*c**3 = 0. What is c?
-1, 0, 1
Let y be (400/24)/(2/6). Solve 0 + 40*o + 4 + y*o**2 + 4 + 0 = 0 for o.
-2/5
Let r be (-126)/(-4)*1 + 3. Let u = r - 34. Let -3/4*w + 1/4*w**2 + u = 0. What is w?
1, 2
Suppose -2*k = 4*v - 60, -2*v + 225 = 5*k - 7*v. Let u be 1 - -3 - k/12. Let 0*i**2 + u*i**3 - 2/3*i + 0 = 0. Calculate i.
-1, 0, 1
Let c(q) be the first derivative of -7*q**4/44 - 6*q**3/11 - 5*q**2/22 + 6*q/11 - 25. Let c(l) = 0. Calculate l.
-2, -1, 3/7
Let w(x) be the first derivative of -x**7/70 - 7*x**6/120 + x**4/6 + 3*x**2/2 - 4. Let s(j) be the second derivative of w(j). Let s(h) = 0. What is h?
-2, -1, 0, 2/3
Let d be 4/6 + 0/(-2). Let k be ((-2)/10)/(30/(-50)). Factor 1/3*g**4 + k + 0*g**3 + 0*g - d*g**2.
(g - 1)**2*(g + 1)**2/3
Let s(r) = -11*r**3 - 11*r**2 + r + 6. Let w(j) = 16*j**3 + 16*j**2 - 2*j - 9. Let n(m) = 7*s(m) + 5*w(m). Factor n(v).
3*(v - 1)*(v + 1)**2
Let r(f) = -f + 4. Let p be r(9). Let b(h) = -6*h**4 + 2*h**3 - 2. Let a(z) = -z**5 - 13*z**4 + 4*z**3 - 5. Let l(n) = p*b(n) + 2*a(n). Let l(q) = 0. What is q?
0, 1
Factor -7/3*p**3 - p**4 - 1/3 - 8/3*p**2 - 3/2*p - 1/6*p**5.
-(p + 1)**4*(p + 2)/6
Determine a so that -2/7 - 1/7*a + 1/7*a**2 = 0.
-1, 2
Let x(z) = -z - 37. Let k be x(-9). Let q = k + 28. Factor 1/3*m**2 + 1/3*m**3 + q*m + 0.
m**2*(m + 1)/3
Let c(q) be the second derivative of 0*q**3 + 0*q**2 - 1/12*q**4 - 5*q + 2/21*q**7 - 1/5*q**5 + 1/30*q**6 + 0. Factor c(o).
o**2*(o - 1)*(o + 1)*(4*o + 1)
Factor 2*l**3 - 4*l**3 - 6*l**5 + 37*l**4 + 4*l**3 - 33*l**4.
-2*l**3*(l - 1)*(3*l + 1)
Let j(p) be the third derivative of 0*p**4 + 1/378*p**8 - 2*p**2 - 1/270*p**5 + 0 + 0*p - 1/105*p**7 + 0*p**3 + 1/90*p**6. Factor j(c).
2*c**2*(c - 1)**2*(4*c - 1)/9
Factor 5*a**3 - 1 + 1 - 6*a**5 + 10*a**4 + 11*a**5.
5*a**3*(a + 1)**2
Find o, given that -2*o**4 + 2*o**2 + 11*o**5 - 6*o**5 - 4*o**5 - 2*o**5 + o = 0.
-1, 0, 1
Factor -5*v**4 - 4*v**3 - 3*v**3 - 5*v**3 - 5*v - 3*v**3 - 15*v**2.
-5*v*(v + 1)**3
Suppose -3*u - 3 = 6, 2*t = -u + 3. Solve -w**2 - 3*w**2 + w**4 + 4*w**2 - 3*w**t + 3*w**2 - w = 0.
0, 1
Let g = 15 - 9. Suppose -g*k + 5*k = 0. Factor 0*r**2 + k + 0*r + 2/3*r**3.
2*r**3/3
Suppose -4/3*v**4 + 16/3*v + 4 - 8/3*v**2 - 16/3*v**3 = 0. What is v?
-3, -1, 1
Let n be (15/9)/(2/12). Suppose 4*k = -k + n. Determine q so that 1/5*q + 2/5*q**k + 0 + 1/5*q**3 = 0.
-1, 0
Let d(b) = b**3 + 6*b**2 - b - 4. Let n be d(-6). Suppose -n*a = -6 + 2. Solve s - 5*s - a*s**4 + 4*s**3 + 0*s**4 + 2 + 0*s**4 = 0.
-1, 1
Let i(c) = -c**2 + 1. Let w(s) = 3*s**2 - 3*s - 2. Let k(v) = -4*i(v) - w(v). Let t be k(-4). Factor -a - 1/3*a**t - 2/3.
-(a + 1)*(a + 2)/3
Suppose i + 2*n + 111 = -2*i, 47 = -i - 4*n. Let g be 27/45 - (-11)/i. Factor g*p**2 + 0 + 0*p.
2*p**2/7
Let c(h) be the third derivative of 0 + 1/72*h**4 + 1/45*h**5 + 0*h - 1/9*h**3 - 1/120*h**6 - 5*h**2. Factor c(w).
-(w - 1)**2*(3*w + 2)/3
Let u(r) = -2*r + 28. Let a be u(14). Factor 0*k**2 + 0*k + 1/2*k**3 - 1/2*k**5 + a*k**4 + 0.
-k**3*(k - 1)*(k + 1)/2
Let m(s) be the third derivative of 1/30*s**5 + 1/120*s**6 - 4/3*s**3 - 1/6*s**4 + 0 + 0*s + 4*s**2. Factor m(i).
(i - 2)*(i + 2)**2
Let v(g) be the third derivative of g**8/84 - g**6/5 + 8*g**5/15 - g**4/2 - 10*g**2. Factor v(u).
4*u*(u - 1)**3*(u + 3)
Let x(s) be the first derivative of s**3/6 - 2*s**2 + 7*s/2 + 14. What is j in x(j) = 0?
1, 7
Let z(v) = -32*v**5 + 44*v**4 - 12*v**3 - 8*v**2 - 8*v - 8. Let t(o) = 21*o**5 - 29*o**4 + 8*o**3 + 5*o**2 + 5*o + 5. Let b(p) = -8*t(p) - 5*z(p). Factor b(q).
-4*q**3*(q - 1)*(2*q - 1)
Factor 5*y**2 - 2*y**3 + 9*y**4 - 8*y**3 + 8*y - 10*y**3 + 2*y**3 - 4.
(y - 1)**2*(3*y - 2)*(3*y + 2)
Let r(u) be the first derivative of -2/3*u**3 + 2*u**2 - 2 + 0*u. Factor r(v).
-2*v*(v - 2)
Let b(a) = 4*a + 28. Let p be b(-7). Factor 1/2*f + 0 + p*f**4 + 1/2*f**5 - f**3 + 0*f**2.
f*(f - 1)**2*(f + 1)**2/2
Let 0 + 2/7*f**2 - 2/7*f = 0. What is f?
0, 1
Let u be 2 + 76/57*(-3)/(-2). Factor 0 + 2/5*n - 2/5*n**3 - n**2 + n**u.
n*(n - 1)*(n + 1)*(5*n - 2)/5
Let a(p) be the third derivative of 2*p**2 - 1/30*p**6 + 0*p**3 + 0 + 1/15*p**5 - 2/105*p**7 + 1/6*p**4 + 0*p. Factor a(v).
-4*v*(v - 1)*(v + 1)**2
Let r(s) be the second derivative of s**6/120 + 3*s**5/160 + s**4/96 + s. Determine p, given that r(p) = 0.
-1, -1/2, 0
Suppose -c - 1 = w - 2*w, -w + 3*c = -3. Let f be (1/3)/(1 - 0). Suppose w + 1/3*u**2 + f*u**3 - 2/3*u = 0. What is u?
-2, 0, 1
Let p(h) be the second derivative of 2*h - 1/30*h**3 + 1/30*h**4 - 1/75*h**6 + 0*h**5 + 0 + 0*h**2 + 1/210*h**7. Factor p(t).
t*(t - 1)**3*(t + 1)/5
Suppose 0 = 2*a - 3*s + 69, a = -2*a - s - 76. Let q be a/(-15) - (-2)/10. Factor b**3 - b**4 + 2*b**q - b - b**2 + 0*b.
-b*(b - 1)**2*(b + 1)
Let g(y) be the third derivative of -y**7/8820 - y**6/1260 + y**4/24 + 7*y**2. Let x(w) be the second derivative of g(w). Solve x(o) = 0 for o.
-2, 0
Let y(s) = -397*s**3 + 523*s**2 - 108*s - 42. Let c(j) = -398*j**3 + 522*j**2 - 107*j - 43. Let p(n) = 3*c(n) - 2*y(n). Find w such that p(w) = 0.
-1/5, 3/4
Let d(z) = 3*z**2 + 2*z - 1. Let w be d(1). Suppose 3*f + 2*f - 23 = c, -w*c + 3*f - 7 = 0. Factor 2/3*b - 1/3 - 1/3*b**c.
-(b - 1)**2/3
Let n(v) be the first derivative of v**5/120 - v**4/36 - v**3/36 + v**2/6 - v - 1. Let l(x) be the first derivative of n(x). Factor l(p).
(p - 2)*(p - 1)*(p + 1)/6
Let t(m) = -13*m**2 - m + 9. Let w(a) = -4 + 1 + 3*a**2 - 2 + 3. Let b(g) = 2*t(g) + 9*w(g). Determine c so that b(c) = 0.
0, 2
Let h = -4 - -6. Suppose 3*y - 2 = -4*a - 0, -4 = 2*a + 4*y. Determine g, given that -g**2 - 7*g**h + a*g**3 - 5*g**3 - 4*g = 0.
-2, -2/3, 0
Let h(u) be the third derivative of -1/15*u**5 + 0 - 1/3*u**4 + 0*u + 3*u**2 + 0*u**3. What is t in h(t) = 0?
-2, 0
Let h(u) be the first derivative of 2/3*u - 4/15*u**5 - 1/2*u**4 + 3 + u**2 + 2/9*u**3. Find a, given that h(a) = 0.
-1, -1/2, 1
Let f be 2/4 + (-5)/(-10). Let p = -1 + f. Factor -14*o**3 - 3*o**2 - o**2 + p*o**2.
-2*o**2*(7*o + 2)
Suppose -2 = -2*s + 2. Let a be 1/s*(-52)/(-39). Factor g + a*g**2 + 0*g**4 - 2/3 - 4/3*g**3 + 1/3*g**5.
(g - 1)**3*(g + 1)*(g + 2)/3
Let d(s) be the second derivative of -s**8/5040 - s**7/1260 - s*