2 = 0.
-1, 0, 2/3, 1
Determine c so that 51*c**2 + 3762*c - 1891*c - 51*c**3 - 3*c**5 + 21*c**4 - 1889*c = 0.
0, 1, 2, 3
Suppose -83*m**2 - 268*m + 552 + 162*m**2 - 83*m**2 = 0. Calculate m.
-69, 2
Let m be (0 + -3 - (-24)/9)*-16. Let g = -14/3 + m. Let -4/3*o**3 - 5/3*o**2 + 0 - g*o - 1/3*o**4 = 0. Calculate o.
-2, -1, 0
Let 0*m**3 - 752 - 25*m**2 + 5*m**3 + 15*m + 797 = 0. Calculate m.
-1, 3
Let j(a) be the second derivative of a**6/195 - 4*a**5/13 + 100*a**4/13 - 4000*a**3/39 + 10000*a**2/13 + 85*a. Find y such that j(y) = 0.
10
Let x(z) be the first derivative of -z**6/240 + z**5/120 - 5*z**2/2 + 15. Let q(j) be the second derivative of x(j). Determine w, given that q(w) = 0.
0, 1
Let d(b) be the first derivative of b**3/24 - 15*b**2/4 + 225*b/2 - 270. Factor d(u).
(u - 30)**2/8
Let -3/2*z**2 - 3/2*z**3 + 18 + 12*z = 0. What is z?
-2, 3
Let z(y) = 20*y**2 + 3*y - 5. Let r(c) = -7*c**2 - c + 2. Let l(k) = -17*r(k) - 6*z(k). Let o(n) = 3*n**2 + 3*n + 9. Let d(i) = -9*l(i) - 4*o(i). Factor d(b).
-3*b*(b + 1)
Let z = 41 + -26. Let h = z - 13. Factor 6*b - 7 - h*b + 5 - 2*b**2.
-2*(b - 1)**2
Let l be (-105)/21 - (-7 - 2). Solve -2/3 - 1/6*x**l - 13/6*x**2 - 2*x - x**3 = 0.
-2, -1
Factor 12*b**2 - 3*b**3 - 10*b**4 - 17*b**4 + 4*b + 3*b**5 - 12*b**4 + 31*b**4.
b*(b - 2)**2*(b + 1)*(3*b + 1)
Factor 6*f**2 - 5*f - 3*f**3 + 1/2*f**4 + 3/2.
(f - 3)*(f - 1)**3/2
Let v(o) = -8*o**3 + 27*o**2 - 46*o + 3. Let p(l) = -17*l**3 + 53*l**2 - 94*l + 7. Let k(a) = 3*p(a) - 7*v(a). Factor k(w).
5*w*(w - 4)*(w - 2)
Let n(o) = 13*o**3 + 288*o**2 + 2592*o - 5. Let y(r) = -20*r**3 - 432*r**2 - 3888*r + 8. Let h(c) = 8*n(c) + 5*y(c). Factor h(i).
4*i*(i + 18)**2
Let d be (340/120)/(-17)*42/(-8). Let m(c) be the first derivative of -1/3*c**3 - 7/4*c**2 - 8 + c + d*c**4. Suppose m(k) = 0. What is k?
-1, 2/7, 1
Let h(r) be the third derivative of -r**7/105 + 3*r**6/8 + 5*r**5/12 - 15*r**4/8 - 23*r**3/6 + 3*r**2. Determine m so that h(m) = 0.
-1, -1/2, 1, 23
Let z = 1815 + -1815. Factor z*m**2 + 0 + 1/3*m**3 + 0*m - 1/3*m**4.
-m**3*(m - 1)/3
Let s(b) = -2*b**4 - b**3 + b**2 - b - 1. Let y(w) = -10*w**4 + 4*w**3 + 114*w**2 + 96*w - 4. Let i(l) = 4*s(l) - y(l). Find x, given that i(x) = 0.
-5, -1, 0, 10
Let m(z) = 2*z**2 + z + 1. Let c(n) = n**2 - 7*n - 6. Let o be c(8). Let s be m(o). Factor -9*j - s*j + 1 + 3 + j**2 + 24*j.
(j + 2)**2
Factor 59/2*v - 1/2*v**2 + 30.
-(v - 60)*(v + 1)/2
Let r = -9/1108 + 2797/3324. Factor 2/3 - r*c + 1/6*c**2.
(c - 4)*(c - 1)/6
Let x(b) = b**2 - b + 1. Let s(o) = -9*o**2 - 420*o - 6. Let m(w) = -s(w) - 6*x(w). Factor m(q).
3*q*(q + 142)
Let c be ((-15)/(-990))/(0 + 2). Let y(r) be the third derivative of c*r**4 + 6*r**2 + 0 + 0*r + 0*r**3 + 1/330*r**5. Factor y(b).
2*b*(b + 1)/11
Let -35*g**4 + 8 + 38*g**3 + 38*g**3 + 53*g**4 + 106*g**2 + 64*g - 8*g = 0. Calculate g.
-2, -1, -2/9
Let b(z) be the first derivative of -z**5/100 - z**4/15 - z**3/6 - z**2/5 + 8*z + 18. Let l(c) be the first derivative of b(c). Factor l(h).
-(h + 1)**2*(h + 2)/5
Let b(g) be the first derivative of -4*g**6/3 - 50*g**5 - 263*g**4/2 - 116*g**3/3 + 459. Suppose b(c) = 0. What is c?
-29, -2, -1/4, 0
Let w(u) = 8*u**2 - 15*u - 11*u + 38*u + u**3 + 4. Let l be w(-6). Suppose -2/3*b - 10/3*b**l + 6*b**3 + 0 - 2*b**2 = 0. What is b?
-1/5, 0, 1
Suppose p - 6*p = -3*w + 9, 3*p - 3*w + 3 = 0. Let z = 5 + p. Determine h so that 0*h**2 - 2*h + 6*h**2 - 4*h**2 - 4*h**z = 0.
-1, 0
Suppose -2*q - 10 = -4*h, h + h - 25 = 5*q. Let s(g) = g**4 + g**3. Let o(u) = -9*u**4 - 21*u**3 - 15*u**2 - u + 2. Let l(w) = q*o(w) - 10*s(w). Factor l(z).
5*(z + 1)**3*(7*z - 2)
Let f(n) be the second derivative of -1/105*n**6 + 0*n**3 - 1/21*n**4 + 0*n**2 - 35*n + 0 - 3/70*n**5. Factor f(u).
-2*u**2*(u + 1)*(u + 2)/7
Let k(q) = -4*q + 9. Let p be k(1). Let v(b) be the first derivative of 12/25*b**p + 4/5*b + 1/15*b**6 - 4 + 32/15*b**3 + 7/5*b**4 + 9/5*b**2. Factor v(y).
2*(y + 1)**4*(y + 2)/5
Let j = -517056 - -178384478/345. Let d = j + -4/69. Factor 2/5*x**2 + d - 4/5*x.
2*(x - 1)**2/5
Let l = 464/3 - 9277/60. Let y(p) be the third derivative of 0*p**4 + 1/70*p**7 + p**2 + 0 + 0*p**3 + 1/20*p**5 + l*p**6 + 0*p. Solve y(b) = 0.
-1, 0
Let q(n) be the third derivative of -n**6/280 + 19*n**5/140 - 9*n**4/28 + 24*n**2. Factor q(r).
-3*r*(r - 18)*(r - 1)/7
Let x(m) = -45*m**4 - 179*m**3 - 231*m**2 - 40*m. Let l(d) = 9*d**4 + 36*d**3 + 46*d**2 + 8*d. Let w(v) = 22*l(v) + 4*x(v). Suppose w(r) = 0. What is r?
-2, -2/9, 0
Suppose -a = 3*h + 10, -3*a - h - 4*h = 14. Let 154*w**2 - 49*w**a - 54*w**2 - 6*w - 53*w**2 = 0. Calculate w.
-3, 0
Suppose -7*m + 8*m = 19. Suppose -m*a + 0*a = 4*a. Suppose 1/2*l**4 + a*l + 1/6*l**2 - 1/6*l**5 + 0 - 1/2*l**3 = 0. Calculate l.
0, 1
Suppose 12 + 2 = p. Suppose 6 = 10*t - p. Determine z, given that 1/2 - 1/4*z**t - 1/4*z = 0.
-2, 1
Let v = 1583/1855 - -1/265. Suppose -2*t + 4 = 5*j, -3*j - 1 = -2*t + 3. Solve 3/7*n + j + v*n**2 = 0 for n.
-1/2, 0
Suppose -4*g - 44 = -2*o, -3*o - 14 + 71 = -3*g. Solve -30 + 21*q - 33 + 54 - o*q**2 + 4*q**3 = 0 for q.
1, 3/2
Let m(i) = -i**4 - i**3 - 2. Let w(y) = 2*y**4 + 22*y**3 + 15*y**2 - 45*y - 6. Let g(f) = 3*m(f) - w(f). Factor g(u).
-5*u*(u - 1)*(u + 3)**2
Suppose 4*g + 0 - 7/2*g**2 - 1/2*g**3 = 0. Calculate g.
-8, 0, 1
Let p(v) be the first derivative of -4/21*v**3 + 0*v + 4/7*v**2 + 5 - 1/7*v**4. Determine l, given that p(l) = 0.
-2, 0, 1
Factor 3*m**4 + 0*m**3 + 45*m**3 - 288*m + 49*m**3 - 528*m**2 - 7*m**4.
-2*m*(m - 12)**2*(2*m + 1)
Let f(p) be the second derivative of p**7/16380 + p**6/2340 + p**5/780 + 3*p**4/2 + 4*p. Let b(z) be the third derivative of f(z). Factor b(l).
2*(l + 1)**2/13
Let b(z) = -3*z + 2. Let p(n) = -2*n**2 - 24*n + 76. Let g(l) = 10*b(l) - p(l). What is r in g(r) = 0?
-4, 7
Solve 105/11*x**3 + 52/11*x**4 + 9/11*x**5 + 12/11*x + 82/11*x**2 - 8/11 = 0.
-2, -1, 2/9
Factor -2/5*k**5 + 0*k + 0 - 32/5*k**2 - 66/5*k**3 - 36/5*k**4.
-2*k**2*(k + 1)**2*(k + 16)/5
Let r = -183/100 + 52/25. Let h(v) be the second derivative of 8*v + r*v**2 - 1/60*v**6 + 7/24*v**3 + 1/6*v**4 + 1/40*v**5 - 1/168*v**7 + 0. Factor h(i).
-(i - 2)*(i + 1)**4/4
Let -93 + 14 - 7*v**3 - 81 - 143*v - 197*v - 3*v**3 + 5*v**4 - 195*v**2 = 0. Calculate v.
-4, -1, 8
Let a(l) = 2*l**3 + l**2. Let z(w) = 21*w**3 - 67*w**2 - 2028*w - 17576. Let g(y) = 22*a(y) - 2*z(y). Factor g(n).
2*(n + 26)**3
Suppose 117*n**3 + 49*n**3 - 111*n**2 - 40*n**5 + 23*n**3 + 56 - 164 - 288*n - 8*n**5 + 72*n**4 = 0. What is n?
-1, -3/4, 2
Let s(k) be the first derivative of k**5/20 + 3*k**4/4 + 9*k**3/2 + 13*k**2/2 - 8. Let p(f) be the second derivative of s(f). Find c such that p(c) = 0.
-3
Let m(l) be the second derivative of 1/21*l**7 - 4*l + 8/3*l**3 - 1/2*l**5 + 1/6*l**4 - 1/15*l**6 + 0 + 4*l**2. Factor m(c).
2*(c - 2)**2*(c + 1)**3
Factor 2/19*u**2 - 42/19*u + 40/19.
2*(u - 20)*(u - 1)/19
Let h(l) = l**4 - 10*l**3 - 27*l**2 + 8*l + 24. Let p(y) = 6*y**4 - 60*y**3 - 163*y**2 + 47*y + 144. Let o(b) = 39*h(b) - 6*p(b). Solve o(v) = 0 for v.
-2, -1, 1, 12
Let f be (4 + -4)*1/3. Suppose 3*x + 1 - 25 = f. Factor -4*s - x*s**2 + 16*s**2 + 0*s - 12*s**2.
-4*s*(s + 1)
Let s(d) = -17*d**2 - 64*d - 105. Let w(b) = -8*b**2 - 32*b - 52. Let j(f) = 4*s(f) - 9*w(f). Solve j(i) = 0 for i.
-6, -2
Let k be 5 - (0 - 4 - -6). Suppose h + k*h + 2*h = 0. Factor 0 + 0*v + 2/19*v**4 + 4/19*v**3 + h*v**2.
2*v**3*(v + 2)/19
Suppose 52 + 160/3*q + 4/3*q**2 = 0. What is q?
-39, -1
Let t be -9*12/1296 + (4 - (-581)/60). Factor 8/5 + t*k**2 + 76/5*k.
4*(k + 1)*(17*k + 2)/5
Let t be -2 - (3 + (-1447)/222). Let a = t - 2/111. Factor 0 - 9/2*b**2 + a*b**3 + 0*b.
3*b**2*(b - 3)/2
Let i(y) be the first derivative of -y**4/24 - 7*y**3/18 + 3*y**2/2 - 101. Find p such that i(p) = 0.
-9, 0, 2
Suppose -15 + 3 = -6*r. Let p(w) = w**3 - w**2 - 6*w + 2. Let k(b) = 9*b**3 - 9*b**2 - 60*b + 21. Let m(v) = r*k(v) - 21*p(v). Solve m(c) = 0 for c.
-1, 0, 2
Let k(a) = 8*a - 12. Let u be k(5). Factor 7 - u + 5 + 10 - 8*d - 2*d**2.
-2*(d + 1)*(d + 3)
Solve -60*x**3 + 256*x + 4*x**4 - 121*x**2 + 0*x**4 - 71*x**2 - 8*x**4 = 0 for x.
-8, 0, 1
Let w be (1 + 7)*-4*(-7)/56. Let b be 246/20 + w + (-76)/20. Factor -5 - b*t**2 + 35/2*t.
-5*(t - 1)*(5*t - 2)/2
Let x(o) be the third derivative of o**6/48 + 7*o**5/90 - 