 2*v**2 - 10*v**2 + 0.
-3*(v - 5)**2
Suppose -v - 3*d + 17 = 0, -v + 4*d - 2*d = 8. Let j be ((-6)/(-42))/(2/4). Factor 4/7*p - 2/7 - j*p**v.
-2*(p - 1)**2/7
Let j(v) be the second derivative of v**6/165 + v**5/22 + 3*v**4/22 + 7*v**3/33 + 2*v**2/11 - 6*v. Factor j(n).
2*(n + 1)**3*(n + 2)/11
Let y(f) be the first derivative of -7*f**5/25 + 9*f**4/20 + f**3/3 - 9*f**2/10 + 2*f/5 - 3. What is c in y(c) = 0?
-1, 2/7, 1
Factor 16*y + 10 - 25*y**2 - 15*y**3 - 5*y**3 + 19*y.
-5*(y - 1)*(y + 2)*(4*y + 1)
Let n = 481/6 - 80. Determine g, given that -1/2*g + 1/3 + 0*g**2 + n*g**3 = 0.
-2, 1
Solve -4*y**4 + 4*y**5 + 13*y**5 - 21*y**5 = 0.
-1, 0
Let w be 68/119*(-14)/(-2). Solve -2/3*p**2 + 0 + 0*p + 1/3*p**w + 1/3*p**3 = 0.
-2, 0, 1
Let w be 4/(-6)*(-1 - 16/(-22)). Determine b so that 6/11*b + 4/11 - 6/11*b**3 - 2/11*b**4 - w*b**2 = 0.
-2, -1, 1
Let y(l) be the second derivative of -l**4/12 + l**2/2 - 2*l. Factor y(v).
-(v - 1)*(v + 1)
Let c(a) = -5*a**2 - 35*a - 33. Let o(g) = -16*g**2 - 106*g - 100. Let i(b) = -10*c(b) + 3*o(b). Let i(d) = 0. What is d?
-15, -1
Find q, given that -36/5*q - 12*q**5 - 8/5 + 96/5*q**3 - 8/5*q**2 + 16/5*q**4 = 0.
-1, -2/5, -1/3, 1
Let f(j) = -j**3 + 6*j**2. Let p(o) = 2*o**2. Let r(i) = -2*f(i) + 7*p(i). Factor r(w).
2*w**2*(w + 1)
Let c(x) = 243*x**5 + 363*x**4 + 108*x**3 + 24*x**2. Let p(z) = z**4 - z**3 + z**2. Let j(k) = c(k) - 12*p(k). Factor j(m).
3*m**2*(m + 1)*(9*m + 2)**2
Let c(p) be the second derivative of -p**9/22680 - p**8/10080 - p**4/12 - 3*p. Let d(k) be the third derivative of c(k). Factor d(l).
-2*l**3*(l + 1)/3
Let x(a) be the first derivative of -1 + 0*a**2 + 1/2*a**4 + a + 1/10*a**5 + 2/3*a**3. Let h(c) be the first derivative of x(c). Factor h(d).
2*d*(d + 1)*(d + 2)
Suppose -2*u = 3*u - 25. Suppose -2*y = 5*w - 34, u*y + 7 = -0*w - w. Let -w + f**2 - 3*f**2 - 8*f + 0 = 0. Calculate f.
-2
Let r(i) = -i**3 - 3*i**2 - 3*i - 2. Let l be r(-2). Let a(d) be the first derivative of -2 - 3/2*d**2 - 2*d + 1/4*d**4 + l*d**3. Factor a(o).
(o - 2)*(o + 1)**2
Let l(c) be the first derivative of 0*c**2 - 7 + 0*c - 1/12*c**3. Factor l(w).
-w**2/4
Let g(v) be the first derivative of -v**2/2 + 7*v - 3. Let y be g(5). Suppose -z**3 - 1/3*z + 1/3*z**4 + 0 + z**y = 0. What is z?
0, 1
Let r be (-348)/5 - 2/5. Let w be (-316)/r - 2/(-7). Find a such that -w*a + 12/5*a**2 + 16/5 - 2/5*a**3 = 0.
2
Suppose 3 = -2*c + 21. Let u = -1 + c. Factor 0*d + 2*d - u*d**2 + 0*d + 0*d.
-2*d*(4*d - 1)
Factor 2*d**4 + 0*d + 1/3*d**2 + 5/6*d**5 + 0 + 3/2*d**3.
d**2*(d + 1)**2*(5*d + 2)/6
Let t be (((-12)/(-15))/1)/(2/15). Let m(f) be the second derivative of 0*f**2 + 0*f**3 - 1/6*f**4 - 1/15*f**t - 1/5*f**5 - 4*f + 0. Find p such that m(p) = 0.
-1, 0
Suppose -9*y - 2 = -10*y. Factor -2*b**y + 0 - 4/3*b**4 + 1/3*b + 3*b**3.
-b*(b - 1)**2*(4*b - 1)/3
Let o be -3 + 4/2 + (-39)/(-13). Suppose -2/15*h**o + 0 + 4/15*h = 0. What is h?
0, 2
Suppose 5*o + 2 - 12 = 0. Solve -2*w**2 - 2*w**2 + 2*w**o = 0.
0
Let h(o) be the third derivative of 0 + 1/10*o**6 + 0*o - 2/15*o**5 + 1/168*o**8 - 4/105*o**7 + 0*o**3 - 3*o**2 + 1/12*o**4. Suppose h(k) = 0. What is k?
0, 1
Solve -4/5*c**2 + 2/5*c**5 + 0 + 0*c - 6/5*c**3 + 0*c**4 = 0 for c.
-1, 0, 2
Let f(t) be the first derivative of -5*t**3/3 + 25*t**2/2 - 16. Factor f(k).
-5*k*(k - 5)
Let r = -218/133 + 42/19. Suppose 4 = -h + 7. Factor -2/7*y - 4/7*y**2 + 2/7*y**h + r.
2*(y - 2)*(y - 1)*(y + 1)/7
Factor 36*i + i**2 + 8*i**2 - 2*i**2 - 162 - 9*i**2.
-2*(i - 9)**2
Let z = 5 + -2. Factor w**2 + 3*w**4 + 0*w**2 - w**5 + 2*w**z + w**3 + 2*w**5.
w**2*(w + 1)**3
Let z(v) be the third derivative of v**6/960 + v**5/480 - 5*v**4/192 + v**3/16 + 2*v**2. Factor z(u).
(u - 1)**2*(u + 3)/8
Let m be (772/(-150))/((-2)/10). Let f = m + -76/3. Solve 1/5 + 1/5*z**2 + f*z = 0 for z.
-1
Let b(r) = -82*r**4 + 623*r**3 - 1215*r**2 + 833*r - 187. Let y(p) = 55*p**4 - 415*p**3 + 810*p**2 - 555*p + 125. Let k(j) = -5*b(j) - 7*y(j). Factor k(d).
5*(d - 6)*(d - 1)**2*(5*d - 2)
Let i(w) = 8*w**3 - 29*w + 21. Let o(z) = 12*z**3 - 44*z + 32. Let g(r) = 8*i(r) - 5*o(r). Solve g(u) = 0 for u.
-2, 1
Let x(d) be the first derivative of -1/4*d**4 - 5/6*d**2 - 7/9*d**3 - 1 - 1/3*d. Let x(m) = 0. What is m?
-1, -1/3
Factor 4/3*h - 1/3*h**2 - 1.
-(h - 3)*(h - 1)/3
Find a such that -1/3*a**3 + 2/9*a**2 + 0 + 0*a**4 + 1/9*a**5 + 0*a = 0.
-2, 0, 1
Let p(r) be the third derivative of -r**7/840 + r**5/120 - r**3/24 + 8*r**2. Let p(y) = 0. What is y?
-1, 1
Let o(d) be the second derivative of -1/36*d**4 + 1/60*d**5 + 2*d + 1/6*d**2 + 0 - 1/18*d**3. Suppose o(i) = 0. Calculate i.
-1, 1
Factor -w - 4*w - w**4 + 0*w + 3*w**2 + w**3 + 2.
-(w - 1)**3*(w + 2)
Let v be 0/((-2)/2*-3). Factor -11*b**4 - 2 + 12*b**4 - 5*b + v*b**3 - 3*b**2 + b**3.
(b - 2)*(b + 1)**3
Suppose 3*m - 3 = -5*h + 7, -5*m - 10 = -5*h. Let o be 4/h - 35/20. Factor 1/2*s**3 + o*s - 3/4*s**2 + 0.
s*(s - 1)*(2*s - 1)/4
Let u(b) be the first derivative of 0*b + 4/3*b**3 - 14/3*b**6 + 9 + 76/5*b**5 + 4*b**2 - 15*b**4. Solve u(h) = 0 for h.
-2/7, 0, 1
Factor -3*w**2 - 28 - 2*w - w + 34.
-3*(w - 1)*(w + 2)
Suppose -4*c + 0 + 12 = 0. Factor -t - 9*t - 2*t + 6*t**3 - 8 - 2*t**c.
4*(t - 2)*(t + 1)**2
Let l(d) = 3*d**3 - 3*d**2 + 7*d - 7. Let r(x) = 2*x**3 - 2*x**2 + 4*x - 4. Let c(f) = -4*l(f) + 7*r(f). Let c(i) = 0. Calculate i.
0, 1
Let s be 12/(-42) + (-144)/(-14). Suppose -4*x + 5 - 6*x**3 - 3*x**2 + 0 - 2 + s*x = 0. What is x?
-1, -1/2, 1
Let m(f) = -f**2 + f. Let j be m(0). Let d = -5 - j. Let s(y) = y**2 - 1. Let g(c) = 6*c**2 - c - 5. Let n(h) = d*s(h) + g(h). Factor n(l).
l*(l - 1)
Let v(i) = i**2 + 8*i - 9. Let g be v(-9). Suppose 1 = -3*n + 5*w + 3, -4*n + 4*w + 16 = g. Solve 3 - f - 2*f**2 - 11 + n*f = 0.
2
Let i(v) be the third derivative of -v**7/1260 + v**6/720 + 13*v**2. Factor i(p).
-p**3*(p - 1)/6
Let p(u) = -2*u - 6. Let z be p(-4). Factor 2*x**2 - 3*x - 2*x + x + z*x.
2*x*(x - 1)
Let q(a) be the second derivative of -a**5/120 + a**4/16 - a**3/6 - a**2/2 + 4*a. Let n(z) be the first derivative of q(z). Solve n(i) = 0 for i.
1, 2
Solve 54 - 4*d**3 - 8*d**2 - 54 - 4*d = 0.
-1, 0
Let q(m) be the second derivative of m**5/5 + m**4/2 - m**3 - 2*m**2 - 7*m. Find h such that q(h) = 0.
-2, -1/2, 1
Factor 46/3*r**4 + 0 - 18*r**3 - 4/3*r - 14/3*r**5 + 26/3*r**2.
-2*r*(r - 1)**3*(7*r - 2)/3
Let l = -12 - -15. Let 3*h**3 - l*h**4 - 3*h**2 - 3*h + 6*h**4 + 0*h**3 = 0. Calculate h.
-1, 0, 1
Suppose -3*z = -2*r - 7, 5*z - 8 = 4*z - 5*r. Let b(c) be the first derivative of -10/21*c**z - 3 - 8/7*c + 16/7*c**2 - 1/2*c**4. Find w, given that b(w) = 0.
-2, 2/7, 1
Suppose 3*u = -0*u. Suppose u*h - h = -2. Factor 0 + 0*g**3 + 1/3*g**h + 0*g - 1/3*g**4.
-g**2*(g - 1)*(g + 1)/3
Suppose -5 = -a - 2*c + 9, 5*c = -4*a + 41. Find z such that 7*z**3 - 5*z**2 + 5*z**a + 4*z**2 - 4*z - 7*z**2 = 0.
-2, -2/5, 0, 1
Let r(v) be the second derivative of v**5/4 + 5*v**4/4 + 5*v. Factor r(u).
5*u**2*(u + 3)
Suppose -3*q + 4 = -5. Factor 17*c**3 - 3*c**2 + 8*c**3 + 9*c**q - 31*c**3.
3*c**2*(c - 1)
Let z(p) be the first derivative of p**5/180 - p**4/72 - p**3/9 - 2*p**2 - 2. Let t(c) be the second derivative of z(c). Let t(x) = 0. Calculate x.
-1, 2
Let y(t) be the third derivative of -t**6/420 - 3*t**2. Determine n, given that y(n) = 0.
0
Let p(v) = 3*v**3 + 3*v**2 + 6*v - 6. Let r be p(-5). Let g be 2/3 - (-128)/r. Let 0 - g*h**3 - 2/7*h + 4/7*h**2 = 0. What is h?
0, 1
Let j(p) = 3*p**4 - 12*p**3 - 2*p**2 + 36*p - 29. Let x(t) = 8*t**4 - 35*t**3 - 7*t**2 + 109*t - 86. Let o(v) = 11*j(v) - 4*x(v). Factor o(n).
(n - 1)**2*(n + 5)**2
Suppose 4 = 4*k - 4*n, 0*n - 4*n + 23 = 5*k. Factor 5*p**2 + 3*p**2 + 0*p**2 - 6*p + k - 5*p**2.
3*(p - 1)**2
Let g be (-2)/(-3) + (-4)/(-3). Factor 0 - 1/5*q**3 + 1/5*q**4 + 0*q**g + 0*q.
q**3*(q - 1)/5
Let z = 16/3 - 5. Let r(n) be the first derivative of -1/9*n**3 + 1/3*n**2 - z*n + 1. Determine c, given that r(c) = 0.
1
Suppose -260/9*a**3 - 1250/9 + 700/9*a**2 + 38/9*a**4 - 250/9*a - 2/9*a**5 = 0. Calculate a.
-1, 5
Let x(n) be the second derivative of -n**5/60 - 5*n**4/36 - 4*n**3/9 - 2*n**2/3 + 15*n. Let x(z) = 0. Calculate z.
-2, -1
Let n(a) be the second derivative of a**8/1008 - a**6/180 + a**4/72 + a**2 + a. Let h(c) be the first derivative of n(c). Factor h(i).
i*(i 