46*n - b*n**2 + 0*n**2 = 0.
0, 14
Factor 9*i**3 - 1141 + 11*i**2 + 4*i**2 + i**4 - 25*i + 1141.
i*(i - 1)*(i + 5)**2
Factor 1/6*v + 25/6*v**5 + 20/3*v**4 - 4/3*v**2 + 0 + v**3.
v*(v + 1)**2*(5*v - 1)**2/6
Let i(h) be the second derivative of 5*h**4/12 - 50*h**3/3 - 345*h**2/2 + 82*h + 2. Factor i(v).
5*(v - 23)*(v + 3)
Let b = 30 + -419/14. Let p(d) be the first derivative of -2/21*d**3 + 0*d**2 + 0*d + b*d**4 - 5. Factor p(h).
2*h**2*(h - 1)/7
Let b(o) be the first derivative of -15*o**5/7 + 85*o**4/7 - 179*o**3/7 + 24*o**2 - 64*o/7 - 39. Suppose b(r) = 0. What is r?
1/3, 1, 8/5
Let p(a) be the second derivative of -3*a**5/35 - 10*a**4/21 - 6*a**3/7 - 4*a**2/7 - 135*a. Factor p(n).
-4*(n + 1)*(n + 2)*(3*n + 1)/7
Let -3316*v - 35 + v**4 - 1993 + 1190*v**2 - 2404*v + 11*v**4 - 6*v**2 + 280*v**3 = 0. Calculate v.
-13, -1/3, 3
Let y be (-1)/6 + (-250)/(-60). Let j(u) be the second derivative of 0 - 2/21*u**3 - 1/42*u**4 + y*u + 3/7*u**2. Factor j(s).
-2*(s - 1)*(s + 3)/7
Let s(n) be the second derivative of -n**6/24 - n**5/4 + 5*n**4/6 + 45*n**2/2 - 29*n. Let r(h) be the first derivative of s(h). Factor r(q).
-5*q*(q - 1)*(q + 4)
Let p = -36/71 + 143/142. Let r(l) be the second derivative of l**3 - 3/4*l**4 - p*l**2 + 0 + 1/5*l**5 + l. Factor r(a).
(a - 1)**2*(4*a - 1)
Let c(t) = t**5 + t**3 + t + 1. Let g = -9 + 15. Let f = g + -2. Let y(a) = -5*a**5 + 2*a**4 - 5*a**3 - 4*a - 4. Let q(m) = f*c(m) + y(m). Factor q(w).
-w**3*(w - 1)**2
Determine k so that -2*k**3 - 792*k - 275 - 78*k**2 - 1021 + 2*k**2 = 0.
-18, -2
Suppose -22*m + 20*m - 184 = 0. Let r = m - -94. Factor 4/11 - 2/11*u - 2/11*u**r.
-2*(u - 1)*(u + 2)/11
Suppose -13*c + 7*c + 12 = 0. Let t be (((-2 + c)/(-4))/(-1))/1. Find y such that 2/7*y + 3/7*y**2 - 1/7*y**5 - 3/7*y**4 - 1/7*y**3 + t = 0.
-2, -1, 0, 1
Suppose 16 = -0*i + 8*i. Factor -6 - i*q**2 - 3*q**4 - 3*q**3 + 5*q**2 + 3*q + 6*q**2.
-3*(q - 1)**2*(q + 1)*(q + 2)
Let j be 72/24*(-4 + 5). Let v(w) be the first derivative of -1/4*w**4 - 2*w + 3/2*w**2 + 3 + 0*w**j. Suppose v(n) = 0. Calculate n.
-2, 1
Let f = 382/3 - 126. Let v = 2200/7 - 6586/21. Factor v*m**3 + 10/3*m - f - 8/3*m**2.
2*(m - 2)*(m - 1)**2/3
Let y(l) be the second derivative of l**6/120 + l**5/40 - l**4/6 - 3*l**3/4 - 9*l**2/8 - 254*l. Factor y(m).
(m - 3)*(m + 1)**2*(m + 3)/4
Let g = 7 - 7. Suppose 0 = 5*o - 3*a - 11, 0*o + 20 = 2*o + 4*a. Find k, given that k**2 - k**o - 1/2*k**5 + 1/2*k**3 + 0*k + g = 0.
-2, -1, 0, 1
Let f(n) be the first derivative of -n**7/420 + n**5/40 - n**4/24 + 3*n**2 + 1. Let a(x) be the second derivative of f(x). Determine o so that a(o) = 0.
-2, 0, 1
Let u(p) be the first derivative of 3*p**4/14 + 4*p**3/3 + 17*p**2/7 + 12*p/7 - 462. Find z such that u(z) = 0.
-3, -1, -2/3
Suppose 173*d**4 - 426*d**3 - 12 - 245*d**4 - 458*d**2 - 134*d + 270*d**4 = 0. Calculate d.
-1/3, -2/11, 3
Let n(i) be the second derivative of 11*i**5/14 + 37*i**4/7 + 76*i**3/7 + 8*i**2/7 + 135*i. Determine w, given that n(w) = 0.
-2, -2/55
Suppose 2*d + 5 = -1. Let z be (d/20)/(-1*(-2)/(-16)). Let 0 + z*n**2 - 6/5*n**4 + 3/5*n**5 + 0*n**3 - 3/5*n = 0. What is n?
-1, 0, 1
Let x = 23053 + -23050. Factor 3*j - 9/2*j**x + 21/2*j**4 - 9/2*j**5 + 0 - 9/2*j**2.
-3*j*(j - 1)**3*(3*j + 2)/2
Let b(f) = 3*f + 29. Let q be b(-10). Let r be -12*(-6)/96 + (q - -1). Factor 1/4*j**3 + 1 + 0*j - r*j**2.
(j - 2)**2*(j + 1)/4
Let y(l) be the third derivative of -l**6/24 + 2*l**5 - 75*l**4/8 + 55*l**3/3 + 20*l**2. Factor y(k).
-5*(k - 22)*(k - 1)**2
Suppose -2 = h - 2*h. Suppose b = 4*o - 21, 5*o - h*b = -0*b + 30. Factor 1/2*y - 1/2*y**3 + 1/2*y**o - 1/2*y**2 + 0.
y*(y - 1)**2*(y + 1)/2
Let y = 7136 - 7136. Solve y - 3/5*z**2 + 6/5*z = 0.
0, 2
Let r = -7809/10 - -781. Let l(g) be the second derivative of -1/60*g**4 - 3/100*g**5 + 0 + r*g**3 + 1/5*g**2 - 1/150*g**6 - 8*g. Let l(q) = 0. Calculate q.
-2, -1, 1
Factor 18/5 + 2/5*l**3 - 18/5*l**2 - 2/5*l.
2*(l - 9)*(l - 1)*(l + 1)/5
Let -137288/13 - 2/13*s**2 - 1048/13*s = 0. Calculate s.
-262
Suppose -4*h - 3*a + 94 = 0, -3*h - 3*a + 62 = -5*a. Let v be h*6/48 + -1 + 2. Factor -3/4*t**3 + 9/4*t**2 + 3/2 + v*t - 3/4*t**4.
-3*(t - 2)*(t + 1)**3/4
Let f(s) be the second derivative of s**4/21 - 16*s**3/21 - 13*s + 2. Let f(q) = 0. What is q?
0, 8
Let k(q) be the third derivative of -1/12*q**3 + 7/240*q**6 + 1/60*q**5 - 13*q**2 - 1/420*q**7 - 7/96*q**4 - 1/192*q**8 + 0*q + 0. Find a such that k(a) = 0.
-1, -2/7, 1
Let g(h) be the second derivative of -h**6/240 - 11*h**5/160 - h**4/4 + 29*h - 3. Solve g(v) = 0 for v.
-8, -3, 0
Factor -352/15*p + 15488/15 + 2/15*p**2.
2*(p - 88)**2/15
Suppose -4128*m = -4116*m. Factor 2/11*x**5 + 0 + 48/11*x**3 + m*x + 32/11*x**2 + 18/11*x**4.
2*x**2*(x + 1)*(x + 4)**2/11
Let w be -4*1/(-5*10/50). Factor 2/3*a**w - 4/3*a + 4/3*a**3 - 2/3*a**2 + 0.
2*a*(a - 1)*(a + 1)*(a + 2)/3
Let n(w) be the second derivative of w**6/40 - 3*w**5/16 + 9*w**4/16 - 7*w**3/8 + 3*w**2/4 - 49*w. Factor n(h).
3*(h - 2)*(h - 1)**3/4
Let a(c) be the second derivative of 5*c**4/12 + 15*c**3 + 85*c**2/2 - 2*c + 3. Let a(f) = 0. Calculate f.
-17, -1
Factor -45*p + 285*p + 7*p**2 + 4*p**2 - 7*p**2 + 0*p**2 + 236.
4*(p + 1)*(p + 59)
Let j(p) = -10*p**3 + 2*p**2 - 5. Let y(q) = q**3 + 1. Let h = 91 - 92. Let b(i) = h*j(i) - 5*y(i). Determine r, given that b(r) = 0.
0, 2/5
Let l(z) be the third derivative of z**8/1680 - z**7/350 + z**6/600 + z**5/100 - z**4/60 + 104*z**2. Factor l(k).
k*(k - 2)*(k - 1)**2*(k + 1)/5
Let h = 39 + -27. Suppose h - 12 - 3*i**4 - 9*i**3 - 2*i**2 - 4*i**2 = 0. Calculate i.
-2, -1, 0
Let l = 1183/20 + -59. Let f(a) be the second derivative of -5*a - 1/30*a**6 - 1/12*a**4 + a**2 - 1/2*a**3 + 0 + l*a**5. Determine w so that f(w) = 0.
-1, 1, 2
Let v(a) be the third derivative of -a**7/210 - 2*a**6/15 - a**5/3 + 50*a**4/3 - 313*a**2. What is w in v(w) = 0?
-10, 0, 4
Let s(g) be the third derivative of -3/70*g**7 + 0*g + 1/40*g**6 + 0*g**3 - 1/36*g**4 - 3/112*g**8 + 0 - 9*g**2 + 7/180*g**5. Let s(a) = 0. What is a?
-1, -2/3, 0, 1/3
Suppose 16*h + 83 = -90 + 173. Factor 2/3*v + 2/3*v**3 + h + 4/3*v**2.
2*v*(v + 1)**2/3
Let g be 0/4 - 6/(-16). Factor -3/8*u + g*u**3 + 3/8 - 3/8*u**2.
3*(u - 1)**2*(u + 1)/8
Let w(n) be the first derivative of 5*n**3/3 - 127*n**2/2 + 50*n - 31. Factor w(m).
(m - 25)*(5*m - 2)
Let v = 6 + -10. Let c be 4 + -6 + (1 - v). Factor -12*f**2 + 8*f**3 + 2*f - f - 2*f**4 - 2 + 4*f + c*f.
-2*(f - 1)**4
Let f = 726 + -2901/4. Let s(d) be the second derivative of 0 + 1/24*d**4 - 7*d - f*d**2 - 1/6*d**3. Factor s(j).
(j - 3)*(j + 1)/2
Let n = -2419/7 - -31461/91. Determine f so that 2/13 - 8/13*f**3 + 8/13*f - n*f**2 = 0.
-1, -1/4, 1
Factor -144/5*j + 288/5 - 2/15*j**3 + 18/5*j**2.
-2*(j - 12)**2*(j - 3)/15
Let o(x) = -13*x**2 + 1. Let w be o(1). Let v = w + 33. Determine b, given that -16*b**2 - b**4 + v + b**4 + 11 - b**5 + 8*b**3 + 2*b**4 - 16*b = 0.
-2, 2
Let r(j) = -j**2 - j - 1. Let y(f) = f**2 + 9*f + 5. Let s be y(-9). Let q(o) = s + 5*o + 3*o**2 + o - 2 - 3*o**3. Let w(a) = -q(a) - 3*r(a). Factor w(x).
3*x*(x - 1)*(x + 1)
Suppose -4*z - 5*c + 53 - 535 = 0, 5*c = 3*z + 344. Let q = z - -121. Suppose 46/3*i**q - 8*i**2 - 34/3*i**4 + 3*i**5 + 1/3*i + 2/3 = 0. What is i?
-2/9, 1
Let m be ((-35)/567*-9)/((-28)/(-6) - 3). Factor 5/3*u**3 + m*u**4 - 1/3*u**2 - 4/3 - 8/3*u - 1/3*u**5.
-(u - 2)**2*(u + 1)**3/3
Let d(s) = -2*s**2 + 12. Let a(q) = -q + 19. Let g be a(14). Let c(z) = -4*z**2 - z + 24. Let w(x) = g*d(x) - 2*c(x). Factor w(n).
-2*(n - 3)*(n + 2)
Let z(u) be the second derivative of 7*u**7/2 - 42*u**6 + 3771*u**5/20 - 751*u**4/2 + 294*u**3 - 108*u**2 + u - 15. Find m such that z(m) = 0.
2/7, 2, 3
Suppose 375*h + 12 = 461*h - 160. Factor -2/9*p**3 - 14/9*p**2 - h - 10/3*p.
-2*(p + 1)*(p + 3)**2/9
Suppose 8 - 2*z**2 + 9*z**2 - 9*z**2 = 0. What is z?
-2, 2
Let d(q) be the third derivative of q**5/240 - 5*q**4/32 + 7*q**3/12 + 305*q**2. Factor d(g).
(g - 14)*(g - 1)/4
Let i = -3488 - -3490. Factor c - c**i + 0 - 15/4*c**3.
-c*(3*c + 2)*(5*c - 2)/4
Let m be ((-14 - (-232)/16)/(2/8))/1. Let -1/6*l**5 - 325/6*l + 125/6 - 53/3*l**3 + 145/3*l**m + 17/6*l**4 = 0. What is l?
1, 5
Solve -4*j**2 - 23*j**3 + 42*j**5 + 40*j**4 + 1 + 17*j**3 - 1 = 0.
-1, -2/7, 0, 1/3
Factor -3*n**4 + 108*n**2 + 18*n**