*2 - 11 - 23*w + 10 - 12.
(w - 24)*(w + 1)
Factor 16/5*b**4 + 0*b - 16/5*b**3 - 4/5*b**5 + 0 + 0*b**2.
-4*b**3*(b - 2)**2/5
Let x(z) be the first derivative of -7*z**5/20 - 15*z**4/8 - 29*z**3/12 - 3*z**2/4 - 6. Let x(c) = 0. What is c?
-3, -1, -2/7, 0
Let b(p) be the third derivative of -p**5/12 - 5*p**4/4 + 35*p**3/6 - 110*p**2. Factor b(w).
-5*(w - 1)*(w + 7)
Let b(d) be the first derivative of -d**5/120 + 7*d**3/36 - d**2/2 + 26*d - 38. Let o(t) be the first derivative of b(t). Factor o(w).
-(w - 2)*(w - 1)*(w + 3)/6
Suppose 0 = -4*p - p + 175. Factor -14*i**2 + 33*i - 30*i**3 - 43*i**4 + 2*i**5 - p*i - 10*i**5 + 17*i**4.
-2*i*(i + 1)**3*(4*i + 1)
Let x be 56*15/1080 - 6/8. Let c(y) be the third derivative of -5*y**2 + x*y**4 + 1/270*y**5 + 2/27*y**3 + 0*y + 0. Factor c(t).
2*(t + 1)*(t + 2)/9
Let r(q) be the first derivative of -q**5/10 - q**4/8 + 10*q**3/3 + 780. What is j in r(j) = 0?
-5, 0, 4
Let h = -1382 + 1387. Let r(o) be the third derivative of 1/35*o**7 - 1/10*o**h - 1/8*o**4 + 8*o**2 + 0*o**3 + 0*o**6 + 0 + 1/112*o**8 + 0*o. Factor r(d).
3*d*(d - 1)*(d + 1)**3
Let z(w) be the second derivative of -7/33*w**3 - 1/165*w**6 - 2/11*w**2 - 3/22*w**4 - 1/22*w**5 - 8*w + 0. Factor z(i).
-2*(i + 1)**3*(i + 2)/11
Let c(t) be the second derivative of t**4/66 + 112*t**3/33 + 3136*t**2/11 + 708*t. Factor c(k).
2*(k + 56)**2/11
Let x = 18248 - 310214/17. Factor x*i**3 + 16/17*i**2 + 42/17*i + 36/17.
2*(i + 2)*(i + 3)**2/17
Let w(i) be the third derivative of -10*i**2 + 0*i - 1/385*i**7 + 1/110*i**5 + 0*i**3 + 1/330*i**6 + 0 - 1/66*i**4. Solve w(s) = 0 for s.
-1, 0, 2/3, 1
Let w(g) = -5*g + 25. Let a be w(3). Suppose 2*o - 5 = x, a*o - 5*o - 13 = 3*x. Factor 16/3*q + 2/3*q**o + 32/3.
2*(q + 4)**2/3
Let g(m) be the second derivative of -m**7/105 - 4*m**6/15 - 17*m**5/50 + 19*m**4/15 + 122*m - 1. Solve g(s) = 0.
-19, -2, 0, 1
Factor 0 + 6/11*w**5 + 216/11*w + 666/11*w**3 + 654/11*w**2 + 234/11*w**4.
6*w*(w + 1)**3*(w + 36)/11
Let g(t) = -3 + 3 + t. Let u(o) = -3*o**3 - 10*o**2 - 2*o + 2. Let w be u(-3). Let l(j) = -3*j**2 + 15*j + 6. Let b(m) = w*l(m) + 12*g(m). Factor b(s).
3*(s - 2)*(s + 1)
Factor 1805/3*l**2 + 2940 + 2660*l.
5*(19*l + 42)**2/3
Let c = 622 + -622. Let r(k) be the second derivative of 1/2*k**6 + 3/5*k**5 + 1/7*k**7 + 1/4*k**4 + 0*k**3 + 0 + 6*k + c*k**2. Factor r(l).
3*l**2*(l + 1)**2*(2*l + 1)
Let y(v) = -5*v**2 - 136*v - 252. Let x(h) = 10*h**2 + 271*h + 502. Let a(k) = -4*x(k) - 9*y(k). Find s, given that a(s) = 0.
-26, -2
Let r(d) be the first derivative of 4*d**5/15 - d**4/2 - 2*d**3/3 + 2*d**2/3 - 34. Suppose r(x) = 0. What is x?
-1, 0, 1/2, 2
Suppose -2 = -3*f + 3*m + 1, -20 = -5*m. Factor -i**2 + 11*i**3 - f*i**5 + i**2 + 15*i**4 + 9*i**3.
-5*i**3*(i - 4)*(i + 1)
Let o(x) = -2*x**3 - 110*x**2 - 1539*x - 4611. Let c(b) = 10*b**3 + 552*b**2 + 7696*b + 23056. Let y(r) = 3*c(r) + 16*o(r). Factor y(a).
-2*(a + 4)*(a + 24)**2
Let d be (-4)/(-5)*35/2. Suppose 5*g + 4 = d. Factor -4*v**4 + v**5 + v**2 - 4*v**5 + 3*v**2 - g*v + 5*v**5.
2*v*(v - 1)**3*(v + 1)
Let i(y) be the second derivative of -y**4/24 - 3*y**3/4 - 5*y**2 - 91*y + 3. Factor i(k).
-(k + 4)*(k + 5)/2
Let z = 2/14233 - -85384/99631. Factor 2/7*g**2 - z*g - 8/7.
2*(g - 4)*(g + 1)/7
Let t(g) = g**2 + 29*g + 212. Let c be t(-15). Let v(k) be the first derivative of -1/8*k**c + 1/16*k**4 + 0*k + 1/12*k**3 - 1 - 1/20*k**5. Factor v(x).
-x*(x - 1)**2*(x + 1)/4
Factor -3/5*j**2 + 213/5*j - 42.
-3*(j - 70)*(j - 1)/5
Let s(u) be the second derivative of 5*u**7/42 + u**6/6 - 3*u**5/4 - 25*u**4/12 - 5*u**3/3 - 28*u. Suppose s(p) = 0. What is p?
-1, 0, 2
Let o(u) = u**2 - 1. Let h(m) = -30*m**3 + 242*m**2 + 237*m + 55. Let v(k) = h(k) + o(k). Solve v(z) = 0.
-1/2, -2/5, 9
Suppose -3*d - 60 = -8*d. Let 8*s**2 + 4 - 8*s**3 + 7*s - d*s**4 - 7*s - 4*s**5 + 12*s = 0. Calculate s.
-1, 1
Factor -25/3 - 17*m**2 + 5/3*m**3 + 45*m.
(m - 5)**2*(5*m - 1)/3
Let i(d) be the third derivative of d**6/72 + d**5/24 - 5*d**4/12 + 11*d**3/6 + 11*d**2. Let k(w) be the first derivative of i(w). Factor k(s).
5*(s - 1)*(s + 2)
Let w be 9 + (5 - 11) + -1. Factor 4/9*m**3 - 8/9 - 8/9*m - 2/9*m**4 + 2/3*m**w.
-2*(m - 2)**2*(m + 1)**2/9
Let q(p) be the first derivative of 2*p**3/45 - 8*p**2/15 + 32*p/15 - 603. Let q(s) = 0. Calculate s.
4
Let u(f) be the first derivative of f**4/16 - f**3/4 + 13*f - 18. Let v(t) be the first derivative of u(t). Factor v(x).
3*x*(x - 2)/4
Let 16*l + 502*l**3 + 208*l**2 - 60*l**3 + 234*l**3 = 0. Calculate l.
-2/13, 0
Factor 9 + 3/8*u**2 + 21/4*u.
3*(u + 2)*(u + 12)/8
Let k(n) be the second derivative of -338/3*n**4 - 34*n - 16/3*n**2 + 2197/15*n**5 + 104/3*n**3 + 0. Let k(d) = 0. What is d?
2/13
Suppose 2*j = -2*j, 3*j = 2*h. Let n be (h/1)/(8 - 10). Factor 3/4 + n*t - 3/4*t**2.
-3*(t - 1)*(t + 1)/4
Find m such that 0 + 2/5*m**3 + 0*m**2 - 8/5*m = 0.
-2, 0, 2
Let j = -889/11 + 1789/22. Determine l so that 0 - j*l**3 - l - 3/2*l**2 = 0.
-2, -1, 0
Solve -2*g**4 + g**3 + g**4 - 10*g**2 + 6*g - 3*g**3 + 3*g**4 + 4*g**3 = 0 for g.
-3, 0, 1
Let r(q) be the first derivative of q**7/210 + q**6/120 - q**5/30 - 31*q**2/2 + 36. Let h(w) be the second derivative of r(w). Determine n so that h(n) = 0.
-2, 0, 1
Let i(d) = -5*d**5 - 3*d**4 + 2*d**2. Let b(g) = g**5 + g**4 - g**2. Suppose 0 = -2*y - 8 - 4. Let s(w) = y*b(w) - i(w). Find t such that s(t) = 0.
-2, 0, 1
Let h(j) be the third derivative of -j**7/105 - j**6/20 + j**4/3 + 9*j**2 - 12. Factor h(v).
-2*v*(v - 1)*(v + 2)**2
Let r(n) = n + 9. Let z be r(-13). Let h be z/14 - (136/(-35) + 2). Factor -26/5*b**2 + 8/5 - 2*b**3 - h*b.
-2*(b + 1)*(b + 2)*(5*b - 2)/5
Let s(a) = -3 - 19*a**4 - 4*a**2 + a**2 - 4*a + 21*a**4. Let u(b) = 6*b**4 - 10*b**2 - 12*b - 8. Let m(h) = -8*s(h) + 3*u(h). Let m(l) = 0. Calculate l.
-1, 0, 2
Let h(p) = -3*p**2 + 13*p + 1. Let l be h(4). Suppose z + 4*s = -0*z + 25, -3*z = -4*s + l. Factor -2/7*m**4 + 0 + 2/7*m**3 - 2/7*m**z + 0*m + 2/7*m**2.
-2*m**2*(m - 1)*(m + 1)**2/7
Let j(t) be the third derivative of 1/24*t**4 + 1/2*t**3 + 0 + 0*t - 3*t**2 + 1/10*t**5. Let y(k) = -k**2 - 1. Let p(z) = -j(z) - 5*y(z). Factor p(i).
-(i - 1)*(i + 2)
Let b = -11 + 19. Let r be (6/b)/((-8)/(-32)). Find s, given that 0 + 3*s**4 - 6*s**2 - r + 3*s**3 + 3 = 0.
-2, 0, 1
Suppose -96/7 - 87/7*f**4 - 9/7*f**5 - 306/7*f**3 - 492/7*f**2 - 360/7*f = 0. What is f?
-4, -2, -1, -2/3
Let g(c) be the third derivative of c**6/40 + c**5/2 - 11*c**4/8 - 263*c**2. Solve g(t) = 0.
-11, 0, 1
Let -270*a**5 - 1/2 - 29/4*a + 243*a**4 + 117/2*a**3 - 95/4*a**2 = 0. What is a?
-1/6, 2/5, 1
Let u be ((-2)/(-2))/((-7)/14). Let t be (u + 3)/((-1)/(-2)). What is p in -4*p**4 + 9*p**3 - p - 2*p**3 - 4*p**2 + 2*p**t = 0?
-1/4, 0, 1
Let y(w) be the first derivative of w**6/21 - 3*w**4/14 - 4*w**3/21 - 42. Factor y(f).
2*f**2*(f - 2)*(f + 1)**2/7
Let i = -55 + 59. Suppose 72/19*v - 28/19*v**2 + 174/19*v**i - 40/19*v**5 - 194/19*v**3 + 16/19 = 0. Calculate v.
-2/5, -1/4, 1, 2
Factor -33/7*o - 3/7*o**3 + 12/7 + 27/7*o**2 - 3/7*o**4.
-3*(o - 1)**3*(o + 4)/7
Let q be (8 + -13)/(10/(-6)). Suppose -3*o - 3*c + 6 = 0, 0 = o - 3*c + 2 + 4. What is x in 1/2*x - 1/4*x**2 + o - 1/4*x**q = 0?
-2, 0, 1
Let y(d) = 8*d**4 + 10*d**3 + 10*d**2 - 3*d + 3. Let k(v) = v**4 + 2*v**3 + v**2 - v + 1. Let w(i) = 21*k(i) - 3*y(i). Factor w(r).
-3*(r - 2)**2*(r - 1)*(r + 1)
Let l be (-52)/(-23) + 12/(-8)*(-24)/(-18). Factor 0 - 2/23*t**3 + l*t + 4/23*t**2.
-2*t*(t - 3)*(t + 1)/23
Let x = 14 + -12. Let q be 5 - x/(2/1). Find k, given that -7*k + k**2 - q*k - k + 10*k = 0.
0, 2
Suppose -224 = -5*u - 19. Solve 37*k + 8 + 4*k**3 - u*k - 4 - 4*k**2 = 0 for k.
-1, 1
Suppose 2054 + 12*k**2 - 3*k**4 + 7*k**4 - 4109 + 2055 - 20*k**3 + 36*k = 0. Calculate k.
-1, 0, 3
Let p be 2*(-5 - (-4)/4 - -6). Let g(l) = l**3 - 4*l**2 + 3. Let f be g(p). Factor -3*s**f + 0*s**2 + 0*s + 0 + 3/2*s**4.
3*s**3*(s - 2)/2
Let s(g) be the second derivative of -g**7/168 + g**6/40 + g**5/40 - g**4/8 - g**3/24 + 3*g**2/8 + 5*g + 3. What is n in s(n) = 0?
-1, 1, 3
Let i = -99094/17 + 5832. Let 14/17*q**4 + i*q**2 - 38/17*q**3 + 8/17 - 2/17*q**5 - 32/17*q = 0. What is q?
1, 2
Let f = 4/3721 - -2898647/11163. Let p = f + -255. Find o such that 10/3*o - 6*o**2 + p*o**4 + 4/3 - 10/3*o**3 = 0.
-1, -2/7, 1
Let b(