d + 1)**2*(d + 2)/10
Let f be 8/(-10) - (-12)/15. Suppose 0 = -2*x - 5*l + 1504, -4*l - 1 + 9 = f. Suppose -x + 4*k**2 + 747 = 0. Calculate k.
0
Suppose -3/4*j**4 - 3/2 - 21/4*j - 15/4*j**3 - 27/4*j**2 = 0. What is j?
-2, -1
Let v(d) be the first derivative of -d**5/12 + 5*d**3/6 - 9*d**2/2 + 3. Let n(b) be the second derivative of v(b). Factor n(z).
-5*(z - 1)*(z + 1)
Let a(k) = -k**3 + k**2 - 6*k + 3. Let x be a(0). Suppose 45 = 17*z - 6. Determine y, given that 3/2*y**5 + 3*y**4 - 3/2*y**z - x*y**2 + 0 + 0*y = 0.
-2, -1, 0, 1
Let v(o) = 50*o**4 + 67*o**3 + 67*o**2 - 19*o + 19. Let i(k) = 16*k**4 + 22*k**3 + 22*k**2 - 6*k + 6. Let d(a) = 19*i(a) - 6*v(a). Let d(r) = 0. Calculate r.
-2, 0
Let w be -3 + 7 + 0 - (-4)/8*-8. Determine q so that -1/2*q + 1/2*q**2 + w = 0.
0, 1
Factor 9*s**2 + 9*s**3 + 403 + 400 + 3*s**4 + 3*s - 803.
3*s*(s + 1)**3
Let w = 5909 - 29543/5. Find v such that 12/5*v - w*v**2 - 18/5 = 0.
3
Let k = -27 + -172. Let x = -199 - k. Determine l so that -20/3*l**4 + 8/3*l**3 + 0*l**2 + x + 0*l = 0.
0, 2/5
Let c(n) be the second derivative of -100*n**2 - 130*n**3 - 7/5*n**5 - 24*n**4 + 18*n + 0. Factor c(t).
-4*(t + 5)**2*(7*t + 2)
Let r be (-4968)/(-7728)*((-7)/(-6))/1. What is i in -12 - r*i**2 + 6*i = 0?
4
Factor 212*c**2 - 11236*c - 4/3*c**3 + 595508/3.
-4*(c - 53)**3/3
Factor -8/5*m**2 - 2/5*m**3 - 64/5 + 56/5*m.
-2*(m - 2)**2*(m + 8)/5
Let k be 16/(-6)*(-12)/16. Let b be (k + -1 + 0/(-2))*0. What is c in 8/7*c**2 - 2/7*c**3 - 8/7*c + b = 0?
0, 2
Let w(j) = -2*j - 8. Suppose c + 2*g = -10, 0 = 4*c - g + 3*g + 28. Let u be w(c). Factor -3*o**2 - 7 + 3 - 4*o + u*o**3 + o**4 + 5*o**2 + o**2.
(o - 1)*(o + 1)*(o + 2)**2
Let j(w) = -2*w**2 + 33*w + 57. Let u be j(18). Let q(g) be the first derivative of -8/7*g + 4 - 1/7*g**4 + 2/3*g**u - 4/7*g**2. Find z such that q(z) = 0.
-1/2, 2
Let n(b) be the second derivative of b**7/126 - b**6/30 - 7*b**5/60 + 7*b**4/36 + b**3 + 4*b**2/3 - 123*b. What is z in n(z) = 0?
-1, 2, 4
Suppose 3*i + 64 = -2*q, 4*i - 3*q = -2*q - 100. Let r be (-8)/35 - i/56. Find d, given that -2/5*d - r + 0*d**2 + 2/5*d**3 + 1/5*d**4 = 0.
-1, 1
Let g(n) be the third derivative of n**7/2520 - n**6/144 - n**5/20 + 29*n**4/24 - 14*n**2. Let v(c) be the second derivative of g(c). Factor v(l).
(l - 6)*(l + 1)
Let p(k) = k**2 + k + 1. Let f(t) = 20*t**3 - 12*t**2 + 4. Let a be 3/(-9) - -2*(-3)/9. Let m(s) = a*f(s) + 4*p(s). Solve m(l) = 0 for l.
-1/5, 0, 1
Solve 22*y - 2*y**3 - 15 + 0*y**3 - 2*y**2 + 12*y - 15 = 0.
-5, 1, 3
Let h(g) be the third derivative of -g**8/504 + g**7/315 + g**6/60 - g**5/90 - g**4/18 - 9*g**2. Let h(q) = 0. What is q?
-1, 0, 1, 2
Let h be (2 + (-68)/30)*(-87)/174. Let x(l) be the third derivative of -3*l**2 + 0*l - h*l**3 + 0 - 1/300*l**5 + 1/30*l**4. Suppose x(o) = 0. What is o?
2
Let g(y) be the second derivative of y**8/1680 + 2*y**7/315 + y**6/45 + 7*y**4/12 - 14*y. Let q(a) be the third derivative of g(a). Solve q(s) = 0 for s.
-2, 0
Let f = 713 + -704. Let w(u) be the first derivative of 0*u**2 + 3/5*u**5 - 9/2*u**4 + f*u**3 + 8 + 0*u. Factor w(t).
3*t**2*(t - 3)**2
Let a(m) be the first derivative of m**6/1620 + m**5/540 - 11*m**3/3 + 15. Let y(r) be the third derivative of a(r). Factor y(c).
2*c*(c + 1)/9
Suppose -5*d - k = -576, -d = k - 79 - 37. Suppose 0 = -i + d - 113. Factor 2/7*z**3 - 2/7*z**i + 0*z + 0.
2*z**2*(z - 1)/7
Let w(n) = 2*n**4 + 10*n**2 + 8*n. Let z(o) = o**4 - o**3 + 10*o**2 + 9*o. Let h(s) = 3*w(s) - 4*z(s). Factor h(t).
2*t*(t - 2)*(t + 1)*(t + 3)
Let u(r) be the second derivative of -9/7*r**2 + 0 - 1/2*r**3 - 1/28*r**4 + 32*r. Suppose u(f) = 0. What is f?
-6, -1
Let -12*h - 17*h + 120 - 3*h**2 + 2*h**2 + 36*h = 0. What is h?
-8, 15
Suppose 48/19 - 174/19*a**2 - 68/19*a + 10/19*a**5 + 126/19*a**4 + 58/19*a**3 = 0. Calculate a.
-12, -1, 2/5, 1
Let o(g) be the second derivative of 11*g**4/78 + 31*g**3/39 - 6*g**2/13 + 10*g. What is p in o(p) = 0?
-3, 2/11
Let g(x) = -102 + x - x**2 + 102. Let q(z) = -z**2 + 26*z - 45. Let m(y) = -4*g(y) - q(y). Find c, given that m(c) = 0.
3
Find l such that 0*l - 5/6*l**3 + 7/2*l**2 - 8/3 = 0.
-4/5, 1, 4
Let y be ((-15)/10)/((-9)/10284). Factor 469*f**4 - 13*f**5 - 36*f**5 + 108 + y*f**2 - 1579*f**3 - 864*f + 401*f**2.
-(f - 3)**3*(7*f - 2)**2
Let d(r) be the second derivative of r**8/336 + r**7/56 - r**5/6 + 13*r**3/6 - 12*r. Let c(w) be the second derivative of d(w). Factor c(p).
5*p*(p - 1)*(p + 2)**2
Let c(m) = -3*m**3 - 12*m**2 - 9*m. Let g(b) = -1 - 5*b**2 - 6*b**2 + 0*b**3 - 12*b**3 - 9*b + 9*b**3. Let n(w) = 2*c(w) - 3*g(w). Factor n(d).
3*(d + 1)**3
Let j be 48/(-40)*80/(-48). Let g(c) be the second derivative of 0 - 1/24*c**4 - 1/2*c**j - 1/4*c**3 - 3*c. What is h in g(h) = 0?
-2, -1
Let a(h) be the first derivative of 18*h**4 + 49*h**3 + 39*h**2 + 3*h - 682. Factor a(r).
3*(r + 1)**2*(24*r + 1)
Let t be -4 - 1 - (-7)/((-21)/(-16)). Let v(w) be the first derivative of t*w**3 - 1 + 0*w**2 + 0*w. Factor v(c).
c**2
Let g(f) be the third derivative of f**6/160 + 29*f**5/80 + 7*f**4/8 - 255*f**2 - 2. Let g(s) = 0. Calculate s.
-28, -1, 0
Suppose -117/4 + 9*h + 1/4*h**2 = 0. What is h?
-39, 3
Suppose 4*c = 3*c. Suppose -x + a - 2 = c, 2*a = -2*x - a + 16. Factor -2 + 3*f**2 + 3*f**4 + 7*f**3 + 5*f**2 - 6*f**x + f**2 - 3*f.
(f + 1)**3*(3*f - 2)
Let d = -3/83 + 771/664. Let b(v) be the first derivative of -3/2*v + 4 + d*v**2 - 1/4*v**3. Factor b(a).
-3*(a - 2)*(a - 1)/4
Solve -5*n + 5939*n**2 - 27*n - 5935*n**2 = 0 for n.
0, 8
Find o such that 192*o**3 - 28*o**5 - 34 + 281*o - 322*o**2 + 10 - 121*o - 4*o**4 + 26*o**4 = 0.
-3, 2/7, 1/2, 1, 2
Let w(x) be the second derivative of 25*x**4/66 - 80*x**3/33 + 64*x**2/11 + 5*x + 18. Solve w(m) = 0 for m.
8/5
Factor 4/11 - 46/11*n - 24/11*n**2.
-2*(n + 2)*(12*n - 1)/11
Determine m, given that 1/3*m**4 + 8/3*m - 5/3*m**3 + 2/3*m**2 + 0 = 0.
-1, 0, 2, 4
Let p = -114 + 346/3. Suppose -248 = -22*q - 204. Factor -2/3*v + 2/3*v**3 + 4/3 - p*v**q.
2*(v - 2)*(v - 1)*(v + 1)/3
Solve -6/13*k**4 + 0 + 32/13*k - 46/13*k**3 + 20/13*k**2 = 0.
-8, -2/3, 0, 1
Let d = -7311 + 21983/3. Factor 5*j**3 + d*j**2 - 20/3 - 15*j.
5*(j - 1)*(j + 4)*(3*j + 1)/3
Let b be 28 - 9 - 79/7. Let -3*y**4 - 3/7*y**5 - b*y**3 - 9/7 - 66/7*y**2 - 39/7*y = 0. Calculate y.
-3, -1
Let s(p) = p**3 - p - 1. Let v(q) = -9*q**3 + 20*q - 5*q**2 + 21*q - 11 - 12*q. Let w(t) = 4*s(t) + v(t). Factor w(d).
-5*(d - 1)**2*(d + 3)
Let u(y) = 7*y - 155. Let x be u(23). Let d(v) be the first derivative of 1/2*v**x + v**3 - 3/5*v**5 - 3/4*v**4 + 0*v**2 + 0*v - 2. Let d(j) = 0. What is j?
-1, 0, 1
Let l(n) = n**2 + 4*n - 7. Let i be l(-6). Suppose i*f + x = -0*f + 53, 0 = 4*f + 4*x - 36. Factor f - 8 - 4*d**2 + 0*d**2 + 13.
-4*(d - 2)*(d + 2)
Factor -1/3*d**2 + 16/3 + 2*d.
-(d - 8)*(d + 2)/3
Let k = 1 - -1. Suppose 8 = 4*x, 5*x = 267*r - 263*r - 2. Factor 3/2*c**4 - 3*c**k + 0*c**r + 0*c + 3/2.
3*(c - 1)**2*(c + 1)**2/2
Let j be ((-36)/80)/(255/(-80) - -3). Factor -2/5*c**4 + 6/5 + j*c**2 + 16/5*c + 0*c**3.
-2*(c - 3)*(c + 1)**3/5
Factor 53*o - 102 - 224*o - 4*o**3 + 4*o**3 + 3*o**3 - 96*o**2 - 30*o.
3*(o - 34)*(o + 1)**2
Factor 12544 + 2691*c + 4*c**2 - 3139*c + 0*c**2.
4*(c - 56)**2
Let y = -988/5 - -198. Let y*k**3 + 8/5*k + 0 + 8/5*k**2 = 0. What is k?
-2, 0
Let u(w) be the first derivative of -w**4/4 - 11*w**3/3 + 45*w**2/2 + 567*w + 543. Suppose u(h) = 0. Calculate h.
-9, 7
Factor -6 + 1/2*y**2 + 2*y.
(y - 2)*(y + 6)/2
Let i(r) be the first derivative of 245*r**4/4 + 350*r**3/3 - 130*r**2 + 40*r + 82. Factor i(t).
5*(t + 2)*(7*t - 2)**2
Factor 2/17*n**2 - 2/17*n + 2/17*n**3 - 2/17*n**4 + 0.
-2*n*(n - 1)**2*(n + 1)/17
Let t = -996 + 3985/4. Factor t*k + k**2 + k**4 + 0 + 1/4*k**5 + 3/2*k**3.
k*(k + 1)**4/4
Factor 24*z + 25 - 6*z**2 + 3*z**2 + 2.
-3*(z - 9)*(z + 1)
Let j(t) be the third derivative of -2*t**7/945 + t**6/180 - t**4/108 + 10*t**2 + 2. Factor j(n).
-2*n*(n - 1)**2*(2*n + 1)/9
Let w(u) = -u**4 - 3*u**3 - 4*u**2 - 3*u - 2. Let o(j) = -j**3 - j**2 + j + 2. Let n(h) = -o(h) - w(h). Suppose n(v) = 0. What is v?
-2, -1, 0
Suppose -3*w + 5*w - 24 = -4*r, 3*w = 5*r - 30. What is v in r + 2*v + 1/6*v**2 = 0?
-6
Let o(d) be the second derivative of -d**5 - 3*d**4 - 2/15*d**6 - 4*d**2 - 14/3*d**3 + 0 + 23*d. Factor o(a).
-4*(a + 1)**