8*s**4 + s**4 - 2*s**3 - 12*s**4 + 2*s**4.
s**2*(s - 1)**2*(s + 1)
Let v(h) = h**2 - 4*h + 2. Let g(c) be the third derivative of -4*c**2 + 5/8*c**4 - 3/2*c**3 - 1/20*c**5 + 0 + 0*c. Let k(t) = 2*g(t) + 9*v(t). Factor k(i).
3*i*(i - 2)
Let u be 81 - (2 - (2 - -3)). Factor -4 + 6*r - 64*r**2 + 10*r + u*r**2.
4*(r + 1)*(5*r - 1)
Let m = -8813 + 35255/4. Factor 3/4*j**2 + 3/2*j**3 + 0 + 0*j + m*j**4.
3*j**2*(j + 1)**2/4
Let p(s) be the second derivative of 0*s**2 + 15*s + 1/4*s**4 - 2/15*s**3 - 2/25*s**5 - 1/50*s**6 + 0. Factor p(h).
-h*(h - 1)*(h + 4)*(3*h - 1)/5
Let o(d) = 2*d + 1. Let n(x) = 2*x**2 - 2*x - 14. Let g(u) = 2*n(u) - 20*o(u). Let g(l) = 0. What is l?
-1, 12
Let t(b) = b**3 + 9*b**2 - 9*b + 12. Let s be t(-10). Let m be ((-1 - s) + 2)/(-2). Solve 1/2*z**3 + 0*z - 1/2*z**2 + 0 - m*z**5 + 1/2*z**4 = 0.
-1, 0, 1
Suppose 4*b + 2514 = -2*b. Let a = b + 2111/5. Find r, given that a + 1/5*r**2 + 8/5*r = 0.
-4
Determine n, given that 9/4*n**3 + 3/2*n**2 - 4*n + 0 + 1/4*n**4 = 0.
-8, -2, 0, 1
Let o(p) = -13*p**3 + 989*p**2 - 76*p. Let m be o(76). Find s such that -8/25*s**2 + m + 6/25*s + 2/25*s**3 = 0.
0, 1, 3
Let 39/4*q - 9/4*q**2 + 15/2 = 0. What is q?
-2/3, 5
Solve 10*l**2 + 2*l + 21*l - l + 24 - 12*l**2 = 0.
-1, 12
Let w(x) be the second derivative of x**6/15 + 2*x**5 - x**4/6 - 20*x**3/3 + 13*x + 11. Factor w(z).
2*z*(z - 1)*(z + 1)*(z + 20)
Let r(b) be the third derivative of -3*b**8/448 - b**7/42 + 59*b**6/480 - 11*b**5/120 - b**4/12 + 5*b**2 - 14. Let r(c) = 0. What is c?
-4, -2/9, 0, 1
Let n(j) be the third derivative of j**5/20 - 3*j**3/2 - 4*j**2. Let i(a) = -a. Let r be (-2 + 3)*(13 + -7). Let o(y) = r*i(y) - n(y). Factor o(c).
-3*(c - 1)*(c + 3)
Let a(z) be the second derivative of -5*z**7/14 - 16*z**6/5 - 171*z**5/20 - 9*z**4/2 - 756*z. Let a(l) = 0. What is l?
-3, -2/5, 0
Let q(k) be the first derivative of -k**5/55 - 5*k**4/66 - 4*k**3/33 - k**2/11 + 42*k - 19. Let y(g) be the first derivative of q(g). Factor y(v).
-2*(v + 1)**2*(2*v + 1)/11
Let b(g) be the first derivative of -g**7/945 + g**5/135 - g**3/27 - 3*g**2/2 - 9. Let s(l) be the second derivative of b(l). Factor s(v).
-2*(v - 1)**2*(v + 1)**2/9
Let i(c) be the second derivative of -c**5/240 + c**3/24 - 9*c**2 - 7*c. Let k(o) be the first derivative of i(o). Factor k(m).
-(m - 1)*(m + 1)/4
Let f(w) = -w - 8. Suppose 7*i + 3 = -53. Let s be f(i). What is u in 4/9*u**3 + 2/9*u**2 + 2/9*u**4 + s*u + 0 = 0?
-1, 0
Let -1/5*q**2 - 4/5 - q = 0. Calculate q.
-4, -1
Let a(u) be the second derivative of -u**5/5 + 5*u**4/3 + 4*u**3 - 164*u. What is c in a(c) = 0?
-1, 0, 6
Let a be (33/4 - 9)*-4. Factor d**a + 1/2*d**5 - 3/2*d + 1/2 - 3/2*d**4 + d**2.
(d - 1)**4*(d + 1)/2
Let d(h) be the second derivative of 1/10*h**5 - 10*h + 0*h**2 + 0 + 8/3*h**3 + h**4. Factor d(j).
2*j*(j + 2)*(j + 4)
Suppose -7*h = 16*h - 138. Let s(j) be the first derivative of 0*j - h - 3/5*j**5 - j**3 + 0*j**2 - 3/2*j**4. Factor s(v).
-3*v**2*(v + 1)**2
Let l(m) be the second derivative of -m**7/126 - 7*m**6/90 - m**5/4 - 5*m**4/36 + 8*m**3/9 + 2*m**2 + 116*m. Suppose l(j) = 0. What is j?
-3, -2, -1, 1
Let l = 9 - 5. Suppose 0 = d + l - 6. What is t in -5*t - 3 + 53*t - 9 - 21*t**d = 0?
2/7, 2
Let w be (-2 + 4 + 1)*2. Suppose -w + 45 = 13*q. Factor 2/3*b**4 - 2/3*b**5 + 0*b + 0 + 0*b**2 + 0*b**q.
-2*b**4*(b - 1)/3
Let k = 8 + -6. Solve -123*w + 39*w - 3*w**5 - 75*w**3 + 24*w**4 + 114*w**k - 16 + 40 = 0.
1, 2
Let p = 5 - 1. Let u be ((-18)/(-390))/(-1) - (-1)/5. Suppose 50/13*k**2 + 14/13*k**p + 38/13*k**3 + u*k**5 + 8/13 + 32/13*k = 0. Calculate k.
-2, -1
Let s(g) be the second derivative of -g**6/18 - 5*g**5/12 - 10*g**4/9 - 10*g**3/9 - 45*g. Let s(j) = 0. Calculate j.
-2, -1, 0
Factor -528/7*h**4 + 0 + 16/7*h**5 + 0*h - 136/7*h**2 - 540/7*h**3.
4*h**2*(h - 34)*(2*h + 1)**2/7
Let k(i) = 2*i + 4 - 3*i - 6 + 0*i. Let d be k(-5). Let -6*x**2 + 0*x**3 - x**d - 2 - 6*x - x**3 = 0. Calculate x.
-1
Let w(m) = -2*m**3 - 11*m. Let q be w(0). Let p(u) be the second derivative of q*u**2 - 11*u + 1/60*u**4 + 0 + 0*u**3. Factor p(r).
r**2/5
Let c(a) = 10*a**2 - 256*a - 250. Let d(p) = -3*p**2 + 85*p + 83. Let q(v) = -5*c(v) - 16*d(v). Factor q(x).
-2*(x + 1)*(x + 39)
Let b(h) = h + 9. Let g be b(-15). Let t be (-3 - 252/(-88))/(g/8). Factor t*l**4 - 6/11*l**2 + 8/11 - 4/11*l**3 + 8/11*l.
2*(l - 2)**2*(l + 1)**2/11
Let z(y) be the second derivative of -1/15*y**6 + 1/5*y**5 - 8/3*y**3 + 0*y**2 + 2/3*y**4 + 0 - 14*y. Factor z(o).
-2*o*(o - 2)**2*(o + 2)
Let p(o) be the second derivative of 2*o**6/15 + 9*o**5/5 + 3*o**4 - 170*o**3/3 - 300*o**2 + 193*o - 2. Suppose p(x) = 0. Calculate x.
-5, -2, 3
Let k be ((-41)/1)/(-1 - (-4)/6). Factor k*d**2 - d**3 - 3*d**3 - 107*d**2.
-4*d**2*(d - 4)
Let d = 57 + -79. Let a be (2/d)/((-37)/148). Determine k, given that 0 + 2/11*k**2 + a*k - 2/11*k**3 = 0.
-1, 0, 2
Let p = 1820 - 3637/2. Determine t so that -7/4*t**4 + 7/4*t**2 + 0 - 5/4*t**3 + p*t**5 - 1/4*t = 0.
-1, 0, 1/6, 1
Solve -33*o**3 + 21*o**2 + 53*o**3 - o - o - 39*o**3 = 0 for o.
0, 2/19, 1
Let z(a) be the second derivative of a**6/10 - 9*a**5/20 + a**4/2 + 69*a + 2. Find r, given that z(r) = 0.
0, 1, 2
Let w be (130/(-52) - -2)*-30. Solve -15/2*p**5 + 0 + w*p**2 + 48*p**4 - 24*p + 189/2*p**3 = 0 for p.
-1, 0, 2/5, 8
Let d be (28/21)/((-1)/(-3)). Let f be (-3 + 3)/3 + d. Suppose -f*y - 3*y**2 + 6*y + y = 0. Calculate y.
0, 1
Let d(m) be the third derivative of m**5/20 - 15*m**4/2 + 450*m**3 - 187*m**2. Determine o so that d(o) = 0.
30
Let -30*v**2 - 70*v**3 - 2*v**4 + 220 + v**4 - 135*v**2 - 4*v**4 + 20*v = 0. What is v?
-11, -2, 1
Factor 0 + 52/5*c**2 + 7/5*c**4 - 37/5*c**3 - 12/5*c.
c*(c - 3)*(c - 2)*(7*c - 2)/5
Let r be 1/(65/29920) + -1. Let c = r + -459. Suppose -c - 80/13*i**4 - 8/13*i**3 + 2/13*i + 36/13*i**2 = 0. What is i?
-1/2, 2/5, 1/2
Suppose 0 = 5*f + 2*q - 14, -f + 2 - 1 = q. Suppose p + 13 = f*h + 29, -p + 2*h = -8. Determine c, given that p - 4/11*c + 2/11*c**2 = 0.
0, 2
Let m(f) be the first derivative of -3*f**4/4 + 41*f**3/2 - 165*f**2 + 150*f + 157. Factor m(q).
-3*(q - 10)**2*(2*q - 1)/2
Let g(x) be the third derivative of -x**8/112 + x**7/10 - 9*x**6/20 + 11*x**5/10 - 13*x**4/8 + 3*x**3/2 - 47*x**2 + 10*x. Factor g(f).
-3*(f - 3)*(f - 1)**4
Let z(l) be the third derivative of -l**5/60 + 2*l**4/3 - 19*l**3/6 + 20*l**2. Let x(a) = -a**2 + 1. Let s(o) = -3*x(o) - z(o). Factor s(t).
4*(t - 2)**2
Let k(s) be the first derivative of s**6/30 - 7*s**5/25 + 9*s**4/10 - 22*s**3/15 + 13*s**2/10 - 3*s/5 + 359. Factor k(u).
(u - 3)*(u - 1)**4/5
Let y(i) = -i**2 + 62*i - 381. Let o be y(55). Let k(c) be the third derivative of -2/7*c**3 - 3*c**2 + 0 + 0*c - 2/21*c**o - 1/105*c**5. Factor k(d).
-4*(d + 1)*(d + 3)/7
Find c such that 409*c**3 + 3*c**5 - 77*c**2 - 43*c**2 - 48 - 132*c + 6*c**4 - 442*c**3 = 0.
-2, -1, 4
Let p = -5309/30 + 177. Let m(y) be the third derivative of p*y**6 + 0 + 0*y**3 - 1/120*y**7 + 2*y**2 + 0*y + 0*y**4 - 1/60*y**5. Factor m(b).
-b**2*(b - 2)*(7*b - 2)/4
Let x(p) be the third derivative of -p**5/60 + p**4/24 - p**3/6 + 6*p**2. Let s(u) = 2*u**2 - 2*u - 3. Let j(f) = s(f) - 3*x(f). Factor j(g).
5*g*(g - 1)
Find c, given that 1/5*c**2 + 12/5*c + 36/5 = 0.
-6
Let q(w) be the second derivative of w**6/540 - w**5/270 + 3*w**2 + 10*w. Let k(f) be the first derivative of q(f). Factor k(l).
2*l**2*(l - 1)/9
Let s be (-1)/(-10)*0 - 0. Factor s - 1/6*i**2 - 1/2*i.
-i*(i + 3)/6
Solve 140*p - 1/3*p**4 - 75 - 166/3*p**2 - 28/3*p**3 = 0.
-15, 1
Let z be 4/(-3 + -1) + -4. Let m = z + 9. Determine v, given that -49*v**m + v - 3*v**3 + 3*v + 50*v**4 = 0.
-1, 0, 2
Suppose -3*b = -c + 2*b + 7, 3*c + b - 5 = 0. What is w in 35*w**c - 19*w**2 - 4*w - 12*w**2 = 0?
0, 1
Let l(d) be the third derivative of 5/3*d**3 - 1/6*d**5 + 0*d - 1/24*d**6 + 5/24*d**4 + 0 - 28*d**2. Factor l(v).
-5*(v - 1)*(v + 1)*(v + 2)
Suppose -4*f + 21 = -5*l, -5*l + 11 + 0 = 4*f. Suppose -2*c + 8 = -d, -f*c + d = 3*d. Factor -3/4*z**4 + 3/4*z**c + 0 + 3/4*z - 3/4*z**3.
-3*z*(z - 1)*(z + 1)**2/4
Let l(w) = w**2 - 29*w + 26. Let a be l(28). Let t be -1*1/4 + (-2)/a. Suppose t*s**2 + 1/4 - s = 0. What is s?
1/3, 1
Let t(s) be the second derivative of 0 - 1/5*s**4 + 0*s**3 + 4/25*s**5 - 2/75*s**6 + 4*s + 0*s**2. Factor t(j).
-4*j**2*(