
5*m*(m - 10)*(m + 1)**2/4
Suppose 19*x = 8*x + 385. Suppose 3*r**2 + 88*r - 44*r - x*r = 0. Calculate r.
-3, 0
Factor 4057 + 2*b**3 + 11248*b - 302*b**2 + 3587 + 3908.
2*(b - 76)**2*(b + 1)
Let s(a) be the first derivative of -a**6/90 - a**5/30 - 14*a**3/3 - 1. Let n(q) be the third derivative of s(q). Let n(l) = 0. Calculate l.
-1, 0
Let l(c) be the second derivative of -c**6/10 - 3*c**5/20 + 10*c**4 + 56*c**3 + 104*c. Factor l(q).
-3*q*(q - 7)*(q + 4)**2
Let c = -717684685/813043 + 2/116149. Let k = c - -885. Factor k*n + 4/7*n**2 + 12/7.
4*(n + 1)*(n + 3)/7
Let s(w) = -26*w**2 + 10*w + 25. Let c(l) = 5*l**2 - 2*l - 5. Let y(a) = -11*c(a) - 2*s(a). Let j(q) = 1. Let g(x) = -4*j(x) + y(x). Factor g(u).
-(u - 1)*(3*u + 1)
Let -400 - 40/3*q + 2/3*q**3 + 28/3*q**2 = 0. What is q?
-10, 6
Let r(b) = -9*b - 5*b - 13*b**2 + 3*b + 12 - b**3. Let t be r(-12). Let -3/4*z + 0 + 3/4*z**3 + t*z**2 = 0. Calculate z.
-1, 0, 1
Let u(j) be the third derivative of -j**5/30 + 5*j**4/6 - 25*j**3/3 - 18*j**2 - 3. Factor u(p).
-2*(p - 5)**2
Suppose -3*z - 12 = -7*z + 4*l, 3*z = 5*l + 15. Let b be ((-44)/(-33) - 0)/(24/6). Factor 1/3*w**2 + z*w - b.
(w - 1)*(w + 1)/3
Let o(c) be the first derivative of 1/12*c**3 - 14 - 1/8*c**2 + 0*c. Factor o(w).
w*(w - 1)/4
Let h be (0 + 0 + 0)/(-3). Let p(u) be the first derivative of -5/4*u**4 - 5*u**3 + h*u - 5*u**2 + 2. Suppose p(y) = 0. What is y?
-2, -1, 0
Solve -39*v**2 + 8*v + v - 2602*v**3 + 12*v + 0*v + 2617*v**3 + 3*v**4 = 0.
-7, 0, 1
Solve 17/3*p + 49/6*p**2 - 17/6*p**4 + 0 + 1/6*p**5 - 1/2*p**3 = 0.
-1, 0, 2, 17
Let x(u) be the third derivative of -1/630*u**5 + 2*u + 1/63*u**4 + 0 - 15*u**2 - 1/21*u**3. Factor x(b).
-2*(b - 3)*(b - 1)/21
Factor 0 + 0*h + 0*h**2 - 56/3*h**3 - 1/3*h**4.
-h**3*(h + 56)/3
Let r = 3665/1572 + -32/393. Solve 9*z**4 + 3*z**3 - r*z**2 + 0 - 3/4*z = 0.
-1/2, -1/3, 0, 1/2
Let h(i) be the third derivative of 15*i**2 + 0 - 2/15*i**3 + 0*i + 1/300*i**5 - 1/40*i**4. Suppose h(d) = 0. What is d?
-1, 4
Let t be (0/647)/(1 - (-2)/2). Factor t + 10/3*g + 2/3*g**2.
2*g*(g + 5)/3
Suppose -12 = -3*j - 285. Let v = j - -371/4. Factor 0 - 5/4*p**2 + 1/2*p**5 + 9/4*p**3 - v*p**4 + 1/4*p.
p*(p - 1)**3*(2*p - 1)/4
Let n(l) be the second derivative of l**7/168 + l**6/24 + 9*l**5/80 + 7*l**4/48 + l**3/12 - 20*l + 1. Factor n(q).
q*(q + 1)**3*(q + 2)/4
Suppose 0 = -4*x - 2*k - 8 + 34, 0 = -4*x - 5*k + 23. Let h be 600/42 - 2/x. Determine d, given that 2*d + h*d**2 - 9*d**3 + 16*d**3 - 32*d**4 + 9*d**3 = 0.
-1/4, 0, 1
Factor -20568*c**2 + 432*c**3 + 20140*c**2 - 2*c**4 - 2*c**4.
-4*c**2*(c - 107)*(c - 1)
Suppose 0 = -15*x + 3*x + 252. Let s be ((-4)/x)/((-2)/3). Let 2/7*z**3 + 0 + 0*z - s*z**2 = 0. What is z?
0, 1
Let a = 21980 - 21977. Solve 2/7*b**2 - 4/7*b + 0 + 2/7*b**a = 0.
-2, 0, 1
Let r(x) be the second derivative of x**4/4 - 54*x**3 + 4374*x**2 - 3*x + 50. Let r(b) = 0. What is b?
54
Let a(m) be the second derivative of -m**5/4 + 5*m**4/3 + 55*m**3/6 + 15*m**2 + 17*m. Factor a(j).
-5*(j - 6)*(j + 1)**2
Let q be (-54)/(-12)*10/3. Factor -40*i + q*i**2 + 34*i + i**2 - i**2.
3*i*(5*i - 2)
Let a(h) be the first derivative of h**4/7 + 236*h**3/21 + 262. Factor a(m).
4*m**2*(m + 59)/7
Let x(k) be the first derivative of k**6/2 + 6*k**5/5 - 21*k**4/4 - 20*k**3 - 18*k**2 + 59. Factor x(y).
3*y*(y - 3)*(y + 1)*(y + 2)**2
Let f be ((-78)/65)/(4/(-70)). Let c = f - 21. Factor c*j**2 - 9*j**2 - 6*j + 0*j + 3*j**4.
3*j*(j - 2)*(j + 1)**2
Let b(d) = -d**3 - 8*d**2 + 9*d + 4. Let i be b(-9). Let w be (i/10)/(5/50). Factor 0 + 1/3*o**3 + 1/3*o**2 + 0*o - 1/3*o**w - 1/3*o**5.
-o**2*(o - 1)*(o + 1)**2/3
Factor 1299*z**3 + 0*z + 0*z - 1298*z**3.
z**3
Let v(s) be the first derivative of -s**4/22 + 4*s**3/33 + 20*s**2/11 + 48*s/11 - 97. What is l in v(l) = 0?
-2, 6
Let u(r) be the first derivative of r**5/40 + 7*r**4/8 + 13*r**3/4 + 19*r**2/4 + 25*r/8 - 23. Find t such that u(t) = 0.
-25, -1
Let j(l) be the first derivative of -25*l**4/3 - 520*l**3/9 + 232*l**2/3 - 32*l + 197. Determine t, given that j(t) = 0.
-6, 2/5
Let l(y) be the second derivative of -7*y**4/48 - 9*y**3/8 + y**2/2 - 3*y + 92. Suppose l(h) = 0. Calculate h.
-4, 1/7
Let n(g) be the second derivative of -g**6/15 + 4*g**5/5 + 15*g**4/2 + 12*g**3 - 4*g + 53. Determine f so that n(f) = 0.
-3, -1, 0, 12
Let s = -526 + 526. Let q(u) be the third derivative of 2/21*u**4 + 0*u - 1/210*u**5 - 16/21*u**3 + s - 7*u**2. What is z in q(z) = 0?
4
Factor 91*b**4 - 576*b**2 - 256*b - 4*b**5 - 388*b**3 - 307*b**4 + 144*b**4.
-4*b*(b + 1)**2*(b + 8)**2
Solve s**2 - 2*s - 5*s**2 + 22055*s**3 - 22057*s**3 = 0 for s.
-1, 0
Let b(o) be the second derivative of 0 + 15*o + 7/18*o**3 + 1/2*o**2 + 1/9*o**4. Determine f, given that b(f) = 0.
-1, -3/4
Let m be ((-1)/((-24)/9))/((-33)/(-11)) + 0. Suppose -3*n + 3 + 3 = 0. Factor 1/8*h**n + 0 - m*h.
h*(h - 1)/8
Let i = 52/9 - 49/9. Factor i*m**5 + 4*m**3 - 2*m**4 + 0 + 0*m - 8/3*m**2.
m**2*(m - 2)**3/3
Let l(b) = -b**3 + 2*b**2 - 1. Let t(m) = -4*m**3 - 147*m**2 - 7803*m - 132654. Let f(r) = -3*l(r) + t(r). Factor f(c).
-(c + 51)**3
Let a(o) be the first derivative of -o**4/32 + 119*o**3/4 - 42483*o**2/4 + 1685159*o + 1053. What is h in a(h) = 0?
238
Let i(q) = -6*q - 60. Let a be i(-10). Let b be (2/(-16))/((-3)/4). Find z such that a - 1/3*z**2 + b*z + 1/6*z**3 = 0.
0, 1
Let d(f) = -4*f**2 - 6*f + 5*f + 6*f**2 - f**2 - 56. Let m be d(8). Find v, given that m - 1/2*v**2 - v = 0.
-2, 0
Let h = -4278/5 - -856. Factor h + 4/5*f**3 - 4/5*f**2 - 2/5*f + 2/5*f**4 - 2/5*f**5.
-2*(f - 1)**3*(f + 1)**2/5
Let k(q) be the first derivative of -26*q**3/3 - 15*q**2 - 4*q - 79. Factor k(v).
-2*(v + 1)*(13*v + 2)
Suppose 5*g = 3*d + 5 + 6, 12 = 4*d. Let q be ((-120)/50)/((-36)/45). Factor -6/5*t**q + 0 + 2/5*t**2 + 0*t + 6/5*t**g - 2/5*t**5.
-2*t**2*(t - 1)**3/5
Let y(i) = 12*i**4 - 41*i**3 + 13*i**2 + 13*i + 3. Let k(w) = -w**2 + w. Let x(d) = -20*k(d) - 5*y(d). Find r such that x(r) = 0.
-1/3, -1/4, 1, 3
Let r be 48/448 + 2/10. Let j = r - 2/35. Suppose -1/4 + 1/4*n + 1/4*n**2 - j*n**3 = 0. What is n?
-1, 1
Let k(u) be the third derivative of 0*u + 14*u**2 - 1/20*u**5 + 0 - 1/4*u**4 + 0*u**3. Factor k(w).
-3*w*(w + 2)
Let x(m) be the third derivative of m**7/1400 + m**6/180 - 3*m**5/200 - m**4/30 + 25*m**3/6 - 24*m**2. Let a(s) be the first derivative of x(s). Solve a(t) = 0.
-4, -1/3, 1
Let k = -974 + 978. Factor 0 - 2/7*o**2 + 1/7*o**k - 1/7*o**3 + 0*o.
o**2*(o - 2)*(o + 1)/7
Let y(l) = -4*l**2 + 20*l + 20. Let i(s) = -s. Let z(v) = -4*i(v) - y(v). Factor z(b).
4*(b - 5)*(b + 1)
Suppose -50*b + 54*b = 12. Let z(i) be the second derivative of -3/2*i**2 - 2*i + 0 + 1/6*i**4 + 5/6*i**b. Factor z(m).
(m + 3)*(2*m - 1)
Let z(m) = -m + 30. Let x be z(19). Factor -2*y**3 - 9*y**2 + 9*y + 7*y**3 + 11*y - x*y**2.
5*y*(y - 2)**2
Let t(n) be the third derivative of -1/240*n**6 + 0*n**3 + 0*n**5 + 0 + 1/144*n**4 + 1/630*n**7 + 9*n**2 + 0*n. Factor t(z).
z*(z - 1)**2*(2*z + 1)/6
Let r = 113 - 79. Factor 4*k + 13 - r + 18 - k**2.
-(k - 3)*(k - 1)
Let q(j) be the first derivative of -4*j - 1/3*j**3 - 5/2*j**2 + 28. Solve q(a) = 0.
-4, -1
Let h(t) = 2*t**2 - 2*t + 5. Let m(j) = j**2 - j + 4. Let n(z) = -4*h(z) + 6*m(z). Determine a so that n(a) = 0.
-1, 2
Let w(z) be the first derivative of -4*z**3/9 - 112*z**2/3 - 3136*z/3 + 16. Factor w(d).
-4*(d + 28)**2/3
Let s(c) = -3*c + 42. Let t be s(9). Let j = t - 10. Let 0 - 3/2*q**3 + 0*q**2 - 3*q**4 - 3/2*q**j + 0*q = 0. Calculate q.
-1, 0
Let m be (-755)/(-765) - 0 - 1. Let u = 143/765 - m. Factor 1/5*b**3 + 0 + u*b - 2/5*b**2.
b*(b - 1)**2/5
Let o = 175913/3405 - -4/1135. Let p = 52 - o. Factor 1/3*q**3 - p*q + 0*q**2 + 0.
q*(q - 1)*(q + 1)/3
Let d(u) = 85640*u**2 + 9745*u + 280. Let q(m) = -6117*m**2 - 696*m - 20. Let c(n) = 4*d(n) + 55*q(n). Determine z, given that c(z) = 0.
-2/35
Suppose -148/3*p**3 - 2/21*p**5 - 1254/7*p - 4*p**4 - 3272/21*p**2 - 1444/21 = 0. What is p?
-19, -2, -1
Let n(t) be the second derivative of t**7/2240 - 3*t**5/320 - t**4/32 - 4*t**3/3 - t. Let c(m) be the second derivative of n(m). Factor c(b).
3*(b - 2)*(b + 1)**2/8
Let o(z) = -z**2 - 8*z + 2. Let n be o(2). Let u be (6/90*12)/(n/(-10)). Factor 0 - 4/9*q + u*q**2.
4*q*(q - 1)/9
Let k(c) = -5*c**3 - 10*c**2 + 12*c + 26. Let d(j)