ne f so that d(f) = 0.
-7, -6, -2, -1
Let x(j) be the second derivative of j**7/2520 - 17*j**6/360 - 2*j**4 - j**2 + 263*j. Let v(k) be the third derivative of x(k). Factor v(f).
f*(f - 34)
Let m be 5/3 - 107/(-32100)*1075. Find g, given that 3/4 + 19/4*g + g**4 + m*g**3 + 33/4*g**2 = 0.
-3, -1, -1/4
Let q(z) be the first derivative of 2*z**5/35 - 5*z**4/7 - 32*z**3/21 + 58*z**2/7 - 66*z/7 - 9. What is w in q(w) = 0?
-3, 1, 11
Let v(i) be the second derivative of 54*i**2 - 1/3*i**4 + 12*i + 0 - 4*i**3. Let v(d) = 0. What is d?
-9, 3
Let w be (-4 - -3)/((-6)/(-7) - 1). Let p be ((70/25)/w)/((-1)/(-5)). Find h such that -8 + 12*h**2 - 4*h**4 + p*h + 2*h - 7*h**3 + 3*h**3 = 0.
-2, -1, 1
Let x(j) = 3*j**2 - 141*j - 292. Let c be x(49). Factor 1/5*g**c - 14/5*g + 49/5.
(g - 7)**2/5
Let a(f) be the second derivative of 1/35*f**5 - 18*f + 5/56*f**4 + 1/7*f**3 - f**2 + 0 + 1/280*f**6. Let d(h) be the first derivative of a(h). Factor d(g).
3*(g + 1)**2*(g + 2)/7
Let g(x) = 3*x**2 - 103*x + 236. Let a be g(32). Let u be (18/5)/((-3)/(-10)). Factor -6*b**2 + a + 6*b - 15*b + 15*b**3 - u*b**2.
3*(b - 1)**2*(5*b + 4)
Suppose 6*v = 15*v - 18. Let -39*x**2 - 27*x**4 + 12*x**2 - 12 - 60*x - 6*x**3 + 96*x**3 - 12*x**v = 0. Calculate x.
-1/3, 2
Suppose 5*a + 2 = -3, 0 = 3*g - 5*a + 13. Let v be (1/3)/(73/12 + g). Factor -3*w**2 - w**2 + 2*w**5 + 20*w**v + 2*w - 18*w**4 + 2 - 4*w**3 + 0*w**5.
2*(w - 1)**2*(w + 1)**3
Suppose 11*h - 21*h + 1500 = 0. Factor -h + 6*a**2 + 11*a**2 - 2*a**2 - 277*a + 152*a - 244*a.
3*(a - 25)*(5*a + 2)
Suppose -1125*r - 1396*r = 1245*r + 316*r. Let l = 201 - 1807/9. Let 0 - 1/9*f**4 + 1/3*f**2 + r*f + l*f**3 = 0. What is f?
-1, 0, 3
Let c = 1253081/8 - 156635. Factor 0 + c*g**2 + 3*g.
g*(g + 24)/8
Let d = -2486 - -2489. Let m(w) be the first derivative of -12 + 0*w**4 - 20/3*w**3 + 0*w + 0*w**2 + d*w**5 + 5/6*w**6. Find k, given that m(k) = 0.
-2, 0, 1
Determine f, given that -1/6*f**3 - 156800/3*f - 560/3*f**2 + 0 = 0.
-560, 0
Suppose -r = -2*r + 317. Let s = r - 317. Suppose 0 - 2/9*w**2 + s*w = 0. Calculate w.
0
Suppose 0*j + 6 = -5*c + 4*j, 2*c = -3*j + 16. Suppose -c*z = 3*z - 80. Factor 3*b**2 + 14*b - z*b - 13*b.
3*b*(b - 5)
Factor 1866/17*k + 932/17 + 4/17*k**2.
2*(k + 466)*(2*k + 1)/17
Let -25*w + 3*w**2 + 27*w + 40*w + 15*w - 60 = 0. What is w?
-20, 1
Let z(o) = 14*o**3 - 60*o**2 + 30*o + 116. Let t(f) = -16*f**3 + 61*f**2 - 27*f - 118. Let r(y) = 6*t(y) + 7*z(y). Factor r(j).
2*(j - 26)*(j - 2)*(j + 1)
Let y = 819 + -812. Factor r**3 - 4*r**2 + y*r**2 + 15*r**2 - 2*r**2 - 2*r**3.
-r**2*(r - 16)
Suppose -32*g - g = -81345. Let b = g - 7391/3. Suppose 40/3*t**2 + 4*t**3 + 4 + 38/3*t - 2/3*t**5 - b*t**4 = 0. What is t?
-2, -1, 3
Let y(v) be the second derivative of -v**5/210 - v**4/126 + 8*v**3/21 - 12*v**2/7 - 11645*v. Determine a, given that y(a) = 0.
-6, 2, 3
Suppose 101*t - 640 = 69*t. Suppose -t = -5*q + 5*x, -4*x + 3*x - 4 = 4*q. Let q - 1/4*g**2 - 3/4*g = 0. What is g?
-3, 0
Let w(x) = 7*x**2 - 8*x + 7. Let v be 28*(-8)/36 - (-6)/27. Let t(p) = -15*p**2 + 17*p - 15. Let d(q) = v*t(q) - 13*w(q). Factor d(c).
-(c - 1)**2
Let c be ((-6)/(120/5675))/((-63)/28). Let f = c + -377/3. Factor 8/9*q - 16/9 - 2/9*q**3 + f*q**2.
-2*(q - 2)**2*(q + 2)/9
Suppose -3*g = -9*b + 11*b - 30, -g + 14 = 2*b. Suppose -k = g*x - 5*x + 9, -4*k = 4*x + 4. Factor 0*v + 0*v**2 - 3*v**4 + 9/2*v**k - 3/2*v**5 + 0.
-3*v**3*(v - 1)*(v + 3)/2
Let y(w) = -2*w**3 + 23*w**2 + 38*w + 13. Let j be y(13). Determine b so that j - 4946*b**2 + 17*b - 54 - 2*b**3 - 35*b - 36*b + 4928*b**2 = 0.
-3
Let x be (-2)/(-8) + 7*(-2)/(-8). Let v be (x/1)/(-2) + 3. Factor 6*w**2 + 8 - w**v - 13.
5*(w - 1)*(w + 1)
Let 44*c + 37 + 2*c**2 - c**2 + 8 - 67*c + 37*c = 0. Calculate c.
-9, -5
Let d be (10/95)/(((-594)/418)/(-9)). Suppose u - 3*z - 2 = 0, -3*z + 4*z = 0. Factor d*j + 2/15*j**u + 4/5.
2*(j + 2)*(j + 3)/15
Let j(l) = -4*l**2 - 2. Let c(p) be the third derivative of 7*p**5/60 + 5*p**3/6 + 62*p**2. Let t(z) = 6*c(z) + 11*j(z). Factor t(x).
-2*(x - 2)*(x + 2)
Let c(p) be the second derivative of -p**7/63 - 46*p**6/45 - 673*p**5/30 - 1304*p**4/9 + 7424*p**3/9 - 4096*p**2/3 - 238*p - 2. Factor c(f).
-2*(f - 1)**2*(f + 16)**3/3
Let s(n) be the first derivative of 0*n**2 - 1/42*n**4 - 8 - 1/70*n**6 + 0*n - 1/35*n**5 + 13/3*n**3. Let g(h) be the third derivative of s(h). Factor g(m).
-4*(3*m + 1)**2/7
Let z(j) = -8*j**2 + 144*j - 748. Let h(x) = -27*x**2 + 407*x - 2246. Let q(r) = 2*h(r) - 7*z(r). Factor q(g).
2*(g - 93)*(g - 4)
Let n(g) = -2*g**2 - 8*g - 4. Let a(u) = 32*u**2 - 23307*u - 5816. Let w(c) = -a(c) - 6*n(c). Factor w(q).
-5*(q - 1168)*(4*q + 1)
Let y = 465 + -584. Let z be (-14)/(490/y) + (-1)/5. Factor 1/5*v**3 - 8/5*v**2 + 0 + z*v.
v*(v - 4)**2/5
Suppose 24 = 2*z + 4*n, 3*z - 27 = -z - n. Factor -13*a**3 - 2*a**3 + 4 + z*a**3 + 4*a + 5*a**3 - a**4 - 3*a**2.
-(a - 1)*(a + 1)*(a + 2)**2
Suppose 0 + 8/3*q**4 - 184/15*q**2 + 28/15*q**3 + 2/15*q**5 + 38/5*q = 0. What is q?
-19, -3, 0, 1
Let w(l) be the first derivative of -2*l**5/35 + l**4/7 + 2*l**3/3 + 4*l**2/7 - 4531. Let w(k) = 0. Calculate k.
-1, 0, 4
Let l(m) be the second derivative of 7*m**5/4 + 145*m**4/12 - 5*m**3/3 - 60*m**2 - m - 73. Factor l(o).
5*(o + 1)*(o + 4)*(7*o - 6)
Let d(o) be the first derivative of o**3 - 48*o**2 + 768*o + 896. Factor d(q).
3*(q - 16)**2
Let l(v) be the first derivative of 7*v**2 - 3*v - 3/4*v**3 + 167. Suppose l(f) = 0. Calculate f.
2/9, 6
Let k(v) = -8*v**4 - 1070*v**3 + 15190*v**2 - 104. Let w(m) = m**4 + 119*m**3 - 1688*m**2 + 12. Let a(j) = -6*k(j) - 52*w(j). Factor a(c).
-4*c**2*(c - 29)**2
Let c(g) be the second derivative of -g**7/273 - 38*g**6/39 - 5952*g**5/65 - 118784*g**4/39 + 524288*g**3/39 + 1209*g + 2. Factor c(k).
-2*k*(k - 2)*(k + 64)**3/13
Let j be (1*45)/(-6 + 6 - -1). Find r, given that -2*r**3 - 48*r**2 - 135 + 63*r**2 - j*r + 6*r**3 + r**3 = 0.
-3, 3
Determine y, given that -372/7*y**2 - 3/7*y**3 - 54 + 753/7*y = 0.
-126, 1
Let m(i) be the third derivative of -13/60*i**5 + 17/8*i**4 + 6 - 3*i**2 - 11/120*i**6 + 1/70*i**7 + 3*i**3 + 0*i. Solve m(r) = 0.
-2, -1/3, 3
Let l(n) be the first derivative of 2*n**5 + 5/6*n**6 - 25/4*n**4 + 0*n - 10*n**3 + 0*n**2 + 2. Solve l(y) = 0.
-3, -1, 0, 2
Let i be (4/(-78))/(1854/(-16068)). Let h = 830/1989 - -6/221. Factor h*p**3 - i*p**4 + 14/9*p + 16/9*p**2 + 4/9 - 2/9*p**5.
-2*(p - 2)*(p + 1)**4/9
Suppose 4*c = 5*a - 13, 4*c - 4*a + 10 = 2. Let i(n) = 15*n**2 - 365*n - 430. Let o(y) = y**2 - 28*y - 33. Let z(q) = c*i(q) - 40*o(q). Factor z(w).
5*(w + 2)*(w + 3)
Let q(m) be the second derivative of 3*m**2 + 0 - 3/5*m**5 - 1/42*m**7 + 229*m + 1/6*m**4 + 13/6*m**3 - 4/15*m**6. Factor q(f).
-(f - 1)*(f + 1)**3*(f + 6)
Let g be -23 + ((-2033)/(-95) - 5) + 7. Factor -16/5 + 1/10*s**2 + g*s.
(s - 4)*(s + 8)/10
Let a be (-143)/(-65) + -2 + (-2)/10. Suppose a = m - 3*m - 2*b - 8, 5*b = m - 20. Factor 2/13*s**2 + m*s + 32/13*s**4 + 0 - 16/13*s**3.
2*s**2*(4*s - 1)**2/13
Let h(q) = -17*q**3 - q - 9. Let d(v) = v**3 - 22*v**2 + 24*v - 54. Let t be d(21). Let a(f) = -4*f**3 - 2. Let u(b) = t*a(b) - 2*h(b). Solve u(c) = 0.
-1, 0, 1
Suppose g + 2*g - 9 = 0. Suppose -g*n + 2*m = -n - 14, 3*n + 7 = -4*m. What is w in -w - 8*w**2 - w**2 - 4*w**3 + w**2 - n*w = 0?
-1, 0
Suppose -3/7*w**3 - 30/7*w - 3*w**2 + 0 = 0. Calculate w.
-5, -2, 0
Let x be (-1 + (-15)/(-45))/((-7)/((-315)/(-10))). Factor 0 + 0*q + 8/7*q**x - 4/7*q**4 + 60/7*q**2.
-4*q**2*(q - 5)*(q + 3)/7
Let b(a) = -7*a + 30. Let x be 14/3 - (-60)/(-90). Let o be b(x). Find t, given that -4 + 5*t**o + 1/2*t**5 - t**4 + 2*t - 5/2*t**3 = 0.
-2, -1, 1, 2
Let b(u) be the first derivative of 5/6*u**4 + 30*u + 7/3*u**3 - 28 + 1/10*u**5 + 3*u**2. Let d(w) be the first derivative of b(w). Factor d(c).
2*(c + 1)**2*(c + 3)
Find g such that -10/9*g**5 - 64/9*g**3 + 74/9*g + 52/9 + 136/9*g**4 - 188/9*g**2 = 0.
-1, -2/5, 1, 13
What is z in 2*z**4 - 2574*z**2 + 233*z**3 + 25*z - 21*z**3 + 19*z - 44*z = 0?
-117, 0, 11
Let y(c) be the second derivative of c**4/30 - 218*c**3/5 + 106929*c**2/5 - 10*c + 68. Let y(l) = 0. What is l?
327
Let n(b) be the first derivative of 4*b**3/3 + 34*b**2 - 947. Let n(m) = 0. Calculate m.
-17, 0
Let p(q) be the first derivative of 107 + 5/3*q**3 - 45*q**2 + 