1*i**3 - r = 0.
-1, 0, 2
Let x = -4/4965 + 222/1655. Let w(a) be the second derivative of 4*a**2 - a**5 - 14/3*a**3 + 16*a + 0 + x*a**6 + 3*a**4. Factor w(z).
4*(z - 2)*(z - 1)**3
Let c = 217 - 215. Factor -c*a**4 + 86*a**3 - 19*a + 20*a**2 + 77*a**3 + a**5 - 169*a**3 + 6.
(a - 2)*(a - 1)**3*(a + 3)
Let r(z) be the first derivative of 4*z**3/15 - 6*z**2 + 104*z/5 + 596. Find n such that r(n) = 0.
2, 13
Let p = 1939/2 - 14542/15. Let m(f) be the first derivative of -2/15*f**3 + p*f**4 + 1/5*f**2 - 2/15*f - 7. What is y in m(y) = 0?
1
Solve -99*j + 686*j**4 - 677*j**4 + 331*j**5 + 189 + 2*j**3 - 102*j**2 - 330*j**5 = 0 for j.
-7, -3, 1, 3
Let l be (-380)/10 - (-2 - -4 - 1). Let g = 43 + l. Determine p so that 1 + g*p + 8*p**3 + p + 14*p**2 + 2*p = 0.
-1, -1/2, -1/4
Let i = -5451 + 5453. Let d(r) be the first derivative of -3/4*r**4 - 1/10*r**5 - 2*r**3 - 5/2*r**i - 20 - 3/2*r. Factor d(f).
-(f + 1)**3*(f + 3)/2
Let t = -3678 - -22069/6. Let a(l) be the third derivative of 0*l**3 + 1/210*l**7 - 3*l**2 + 0 - 7/60*l**5 + t*l**4 + 1/60*l**6 + 0*l. Factor a(y).
y*(y - 1)**2*(y + 4)
Let d be (-1)/((-24)/(-16))*(-27)/(-6). Let o be 39/65 - d/45. Find b, given that o*b**2 + 4/3 - 1/3*b**3 + 7/3*b = 0.
-1, 4
Let c = 2679/13820 - -17/2764. Determine t so that -31/5*t**3 + 51/5*t**2 - c*t**5 + 12/5 + 9/5*t**4 - 8*t = 0.
1, 2, 3
Let v(b) be the first derivative of b**5/30 + 41*b**4/6 + 1681*b**3/3 + 49*b**2/2 - 177. Let k(f) be the second derivative of v(f). Factor k(n).
2*(n + 41)**2
Let j(z) be the second derivative of -4 + 0*z**2 + 0*z**3 - 1/21*z**7 + z - 400/3*z**4 - 48*z**5 - 14/5*z**6. Suppose j(d) = 0. What is d?
-20, -2, 0
Let a(h) be the third derivative of -1/45*h**6 - 8/315*h**7 + 0*h + 0*h**3 + h**2 - 38 + 4/15*h**5 + 1/2*h**4 + 1/252*h**8. Factor a(c).
4*c*(c - 3)**2*(c + 1)**2/3
Let y(d) = -d**4 - 1558*d**3 + 302634*d**2 + 304191*d. Let p(t) = -1558*t**3 + 302636*t**2 + 304194*t. Let g(w) = -6*p(w) + 4*y(w). Factor g(a).
-4*a*(a - 390)**2*(a + 1)
Let c(q) be the first derivative of 63/16*q**4 - 15 - 363/8*q**2 + 0*q + 3/20*q**5 + 99/4*q**3. Factor c(r).
3*r*(r - 1)*(r + 11)**2/4
Let z(o) be the third derivative of -1/24*o**4 + 0*o**3 + 1/120*o**6 - 71*o**2 - 1/210*o**7 + 1/60*o**5 + 0 + 0*o. Factor z(i).
-i*(i - 1)**2*(i + 1)
Factor 7409*s**4 + 15*s + 61*s**3 + 55 - 7415*s**4 - 76*s - 49*s**2.
-(s - 1)**2*(s + 1)*(6*s - 55)
Let w be 1/((-1 - 0)*1). Let q be 2*(-1)/(-2 + w + 2). Solve -7*u**2 + 0*u**3 + 2*u**3 - 3*u**q + 12*u**2 = 0.
-1, 0
Let o(d) be the third derivative of -d**6/240 - 5*d**5/2 - 7599*d**4/16 - 22201*d**3/6 - 1654*d**2 + 4. Determine z so that o(z) = 0.
-149, -2
Let y(k) be the third derivative of -2*k**7/105 - k**6/40 + 41*k**5/60 - 7*k**4/4 + 4*k**3/3 - 3*k**2 - 22. Find i, given that y(i) = 0.
-4, 1/4, 1, 2
Let r(m) be the third derivative of -m**8/896 - 5*m**7/336 + m**6/240 + 5*m**5/24 + m**4/6 + 1128*m**2. Find l, given that r(l) = 0.
-8, -2, -1/3, 0, 2
Factor -2/3*n**4 + 0 + 160/3*n + 32/3*n**2 - 10/3*n**3.
-2*n*(n - 4)*(n + 4)*(n + 5)/3
Let x(u) be the first derivative of -u**6/24 + 2*u**5/5 - 9*u**4/16 - 3*u**3/2 + 13239. Solve x(k) = 0 for k.
-1, 0, 3, 6
Let n = -1079/716 + 679219/218380. Let s = 12/61 + n. Solve 0 + 12/5*p**2 - 12/5*p + s*p**3 = 0 for p.
-2, 0, 2/3
Let c(h) = 92*h**2 - 4470*h + 8866. Let n(t) = 27*t**2 - 1490*t + 2956. Let y(z) = 2*c(z) - 7*n(z). Factor y(r).
-5*(r - 296)*(r - 2)
Let v(k) be the third derivative of -k**6/24 - 113*k**5/6 + 1135*k**4/24 - k**2 - 1618*k. Factor v(b).
-5*b*(b - 1)*(b + 227)
Let q(r) be the first derivative of 4/3*r**3 - 2/3*r**4 - 1/60*r**6 + 1/6*r**5 + 7*r**2 + 0*r + 1. Let o(c) be the second derivative of q(c). Factor o(g).
-2*(g - 2)**2*(g - 1)
Let z(v) be the first derivative of -v**3/3 - 827*v**2/2 - 2472*v + 8247. Factor z(y).
-(y + 3)*(y + 824)
Factor 0*m + 22/13*m**3 + 0 + 8/13*m**4 + 12/13*m**2 - 2/13*m**5.
-2*m**2*(m - 6)*(m + 1)**2/13
Let j be 56 - -1*(-5 - -2). Let v = j + -51. Solve q**2 - 3*q + v*q**4 + 20*q**5 + 10*q**4 - 18*q**3 - 23*q**5 + 11*q**2 = 0.
0, 1
Let w(r) be the third derivative of 0 - 100/3*r**3 + 107*r**2 + 145/6*r**4 + 6/5*r**6 + 0*r - 44/5*r**5. Solve w(m) = 0.
5/6, 2
Suppose 270 - 4*s - 96*s - 59761*s**3 + 12*s**2 + 59764*s**3 - 53*s = 0. What is s?
-10, 3
Let p be (-96)/(-171) + (756/(-399))/(-18). Let f(u) = -u**3 - 9*u**2 + 2. Let q be f(-9). Factor 1/3*m**3 + p - 5/3*m + m**q - 1/3*m**4.
-(m - 1)**3*(m + 2)/3
Solve 2842/19*f - 5676/19 - 2/19*f**2 = 0.
2, 1419
Let p = 14819/5484 - 65/1828. Determine v so that -14*v**2 + 0 + p*v**3 + 10/3*v = 0.
0, 1/4, 5
Let f be (39/6 - 8)/(705/(-94)). Let j = 0 + 2. Solve -3/5*s**j + f*s**4 + 2/5 + 1/5*s**3 - 1/5*s = 0 for s.
-2, -1, 1
Let j(k) = -65*k - 508. Let b be j(-8). Let g(c) be the third derivative of -b*c**2 + 4/21*c**3 + 1/14*c**4 + 0*c**5 + 0*c + 0 - 1/210*c**6. Factor g(p).
-4*(p - 2)*(p + 1)**2/7
Let m(s) be the second derivative of s**7/63 - 16*s**6/45 + 7*s**5/5 - 20*s**4/9 + 13*s**3/9 + 704*s. Factor m(c).
2*c*(c - 13)*(c - 1)**3/3
Let q(n) be the third derivative of n**8/294 - 44*n**7/735 - 31*n**6/84 - 88*n**5/105 - 83*n**4/84 - 2*n**3/3 - 2392*n**2. Let q(s) = 0. Calculate s.
-1, -1/2, 14
Let t(c) be the first derivative of -7*c**6/9 - 64*c**5/5 + 161*c**4/6 + 236*c**3/3 - 532*c**2/3 + 80*c - 11384. Let t(i) = 0. Calculate i.
-15, -2, 2/7, 1, 2
Suppose -5*r = 70 - 80. Find a, given that -32*a - 3*a**3 - 8*a - 27*a + 6*a**r + 91*a = 0.
-2, 0, 4
Let p(x) = 5*x**2 + 181*x + 215. Let q be p(-35). Let c(a) be the first derivative of -q + a**4 - 8/3*a**3 + 0*a + 0*a**2. Factor c(h).
4*h**2*(h - 2)
Suppose -344 = 16*y - 408. Factor 11*j**3 + 36*j**2 - 3*j**y + j**4 + 105*j - 99*j - 53*j**2.
-j*(j - 3)*(j - 2)*(2*j - 1)
Let l = -43/8624 + 86369/25872. Factor l - 1/3*g**2 - 3*g.
-(g - 1)*(g + 10)/3
Let r(m) be the second derivative of m**6/24 + 23*m**5/6 - 235*m**4/24 - 62*m**2 + 100*m. Let g(n) be the first derivative of r(n). Factor g(i).
5*i*(i - 1)*(i + 47)
What is c in 11932*c**2 - 10615*c**4 + 139*c - 19720*c**3 + 101*c - 2160 - 525*c**5 + 10588*c**2 = 0?
-18, -3, -2/7, 2/5, 2/3
Factor -2*p**3 - 93*p**2 + 39*p**2 + 7*p**2 - p**3 - 16*p**2.
-3*p**2*(p + 21)
Let a(o) = -13*o - 35. Suppose 0 = -5*k - 4*b - 3, -2*k + b + 6 = 15. Let x be a(k). Factor 5/2*q**x + 65/2*q**2 + 10 + 15*q**3 + 30*q.
5*(q + 1)**2*(q + 2)**2/2
Let j be (21/(-196))/((-4)/14 + 1/7). Let j*h**3 + 0*h + 3/2*h**4 + 0 + 3/4*h**5 + 0*h**2 = 0. Calculate h.
-1, 0
Let m be 175/70 + 99/(-40). Let n(q) be the third derivative of -1/2*q**3 + m*q**6 + 1/20*q**5 - 1/8*q**4 + q**2 + 0 + 0*q. Suppose n(a) = 0. Calculate a.
-1, 1
Suppose 4*h = 4*w - 24, -h = -2*w - 2*h + 9. Determine g so that -6*g**5 + 787*g - 695*g + 2*g**4 - g**w - 16 + 77*g**3 - 148*g**2 = 0.
-4, 2/7, 1, 2
Determine x, given that 2/5*x**2 + 28 + 74/5*x = 0.
-35, -2
Let l(s) be the first derivative of s**5/2 + 5*s**4/2 + 5*s**3/2 - 5*s**2 - 10*s + 163. Factor l(i).
5*(i - 1)*(i + 1)*(i + 2)**2/2
Suppose 1 + 5 = 3*p. Suppose 132 = -240*u + 159*u + 125*u. What is d in -2 + 2 - 2*d**p - 5 + 4*d + u = 0?
1
Let r(g) = -5*g - 3. Let n be r(-1). Suppose -6 = -n*h - h. Factor 1244*z**3 + z**h - z - 1247*z**3 + z**4 + 2*z**2.
z*(z - 1)**3
Factor -400/3 + 100/9*p - 2/9*p**2.
-2*(p - 30)*(p - 20)/9
Let t(v) be the first derivative of v**5/450 - v**4/45 - 19*v**2 - 34. Let l(p) be the second derivative of t(p). Solve l(k) = 0 for k.
0, 4
Let d be 252/66 + (-8)/(-44). Suppose -14 = -d*a - 2. Find s, given that 17*s**2 - 270*s**a + 260*s**3 + 10*s - 15*s**4 - 2*s**2 = 0.
-1, -2/3, 0, 1
Suppose 50*v - 6 = 44*v. Let l be v/(-3) + (-12)/360*-55. Solve -l*x + 3/2*x**5 + 0*x**3 + 3*x**2 - 3*x**4 + 0 = 0.
-1, 0, 1
Let i be (1*8/(-52))/(100/(-65)). Let n(d) be the second derivative of 0*d**2 + 0 - 1/6*d**4 + 19*d + 2/3*d**3 - i*d**5. Factor n(s).
-2*s*(s - 1)*(s + 2)
Let m be 7260*(-4 - 285/(-70)) - 3. Let o = m - 515. Factor 0*a + 0 + 0*a**4 + 6/7*a**3 - o*a**2 - 2/7*a**5.
-2*a**2*(a - 1)**2*(a + 2)/7
Let m(z) = -3*z**3 + 197*z**2 + 196*z - 2. Let y be m(-1). Suppose 128/7*p + 0 - 96/7*p**y - 30/7*p**3 - 2/7*p**4 = 0. What is p?
-8, 0, 1
Let a be (2308/(-8))/((-3)/(-6)). Let n = 582 + a. Factor 0 + 1/3*y**2 + 1/3*y**n + y**3 + 0*y + y**4.
y**2*(y + 1)**3/3
Let z(i) be the