o - 7*o**2 + 0*o**3 + o**3 + 10*o.
o*(o - 6)*(o - 1)
Let p = -264 - -268. Solve p*t + 3*t + 5*t**2 + 9*t - 14*t + 4*t + t**3 = 0 for t.
-3, -2, 0
Let a = 40/9 + -34/9. Let v(u) be the first derivative of -11/15*u**2 + a*u - 1/30*u**4 + 14/45*u**3 + 6. Factor v(k).
-2*(k - 5)*(k - 1)**2/15
Suppose -4*n = 3*j + j + 4, -3*n - j = -5. Let g be (40/(-75))/(n - (-40)/(-12)). Factor 16/5*c - 2/5*c**4 + 2/5*c**5 - 2*c**3 + 2/5*c**2 + g.
2*(c - 2)**2*(c + 1)**3/5
Let x(p) be the third derivative of -p**5/540 + 13*p**4/216 + 5*p**3/9 + 1245*p**2 - p. Factor x(n).
-(n - 15)*(n + 2)/9
Let j(h) be the third derivative of h**7/420 + 31*h**6/240 + 7*h**5/10 - h**4/12 - 28*h**3/3 + 1621*h**2. Factor j(o).
(o - 1)*(o + 2)**2*(o + 28)/2
Let x be (4/(-22) - (-126)/(-154))*0. Let t be x*(50/(-15))/10. Factor -15/2*a**4 + 0*a - 25/2*a**5 + 0*a**3 + t*a**2 + 0.
-5*a**4*(5*a + 3)/2
Let g(a) = -3*a**3 + 2*a**2 - a - 1. Let m be g(1). Let k be (12/9)/(2/m - -4). Factor -k*n**4 - 44/5*n**2 - 16/5*n**3 - 48/5*n - 18/5.
-2*(n + 1)**2*(n + 3)**2/5
Let v(n) be the second derivative of 3/5*n**2 + 3 - 1/6*n**3 - 3*n + 1/60*n**4. Solve v(q) = 0 for q.
2, 3
Let d(r) be the second derivative of -r**7/360 - r**6/108 - r**5/120 - 11*r**3 + r**2 - 7*r - 10. Let b(v) be the second derivative of d(v). Solve b(o) = 0.
-1, -3/7, 0
Suppose -56*h**4 + 48 + 275*h**5 + 739*h**2 - 144*h**3 - 656*h - 21*h**4 - 27*h**2 - 250*h**5 = 0. Calculate h.
-3, 2/25, 2
Let p(l) be the first derivative of -l**4/10 - 164*l**3/15 + 1718. Determine c, given that p(c) = 0.
-82, 0
Let m be 54374/10524 - (-292)/120. Find h, given that 28/15 + 8*h**2 + 8/15*h**3 + m*h = 0.
-14, -1/2
Find l, given that 38/7*l**3 + 18/7*l**4 + 96/7 + 2/7*l**5 - 16*l - 6*l**2 = 0.
-4, -3, 1
Let i(j) be the first derivative of -5*j**6/6 - 12*j**5 + 20*j**4 + 170*j**3/3 - 315*j**2/2 + 130*j - 5871. Suppose i(g) = 0. Calculate g.
-13, -2, 1
Suppose -30 + 6 = -6*p. Find r, given that -12 + 2*r**3 + 227*r**p + 9*r**2 - 8*r**3 + 12*r - 230*r**4 = 0.
-2, 1
Let a = -245 + 260. Determine b so that -a*b**3 - 4*b**4 + 15*b + 5612*b**2 + 18 + b**4 - 5627*b**2 = 0.
-3, -2, -1, 1
Suppose -25*m = -37*m + 1800. Find z, given that -3518*z - m + 5*z**2 + 7271*z - 3608*z = 0.
-30, 1
Factor -407*t + 11*t**5 - 32 - 51*t**4 - 337*t**2 - 403*t + 630*t - 251*t**3.
(t - 8)*(t + 1)**3*(11*t + 4)
Let z = -841/6 + 2165/12. Let h = z - 1055/28. Factor -h - 3/7*f**3 + 18/7*f**2 + 3/7*f.
-3*(f - 6)*(f - 1)*(f + 1)/7
Factor 2/7*h**5 + 240*h**3 + 0*h + 0 - 224*h**2 - 114/7*h**4.
2*h**2*(h - 28)**2*(h - 1)/7
Let u = -67 + 45. Let m = 28 + u. Find b such that -9*b**2 - 3*b - m + 8*b + 10*b + 0 = 0.
2/3, 1
Let u be (6/(-10))/((-156)/6 - 30545/(-1192)). Factor -u*b**3 + 26/5*b - 8/5 + 26/5*b**2.
-2*(b - 4)*(b + 1)*(4*b - 1)/5
Let i(b) be the second derivative of b**4/90 - b**3/9 - 2*b**2/5 - 31*b + 18. Factor i(a).
2*(a - 6)*(a + 1)/15
Let x = 24786 + -24784. Let o(v) be the first derivative of -1/3*v**x + 0*v + 5/12*v**4 - 1/3*v**3 - 23. Find u such that o(u) = 0.
-2/5, 0, 1
Let m(c) = -15*c - 244. Let y be m(-16). Let x be -7 + (y - (-7 + (-44)/10)). Find u, given that -8/5*u - 8/5 + x*u**4 + 8/5*u**3 + 6/5*u**2 = 0.
-2, -1, 1
Let f(j) = -95*j**2 - 666*j - 4. Let m be f(-7). Let i(x) be the first derivative of 0*x + 1/14*x**4 + 3/7*x**2 + 29 + 8/21*x**m. Factor i(a).
2*a*(a + 1)*(a + 3)/7
Let x(w) = w**2 + 2. Let z(v) = 2 + 3*v + 2 + 10*v**2 + 0 - 6*v - 8. Let a(n) = -x(n) + z(n). Factor a(y).
3*(y - 1)*(3*y + 2)
Let h(a) = 83*a**2 - 9184*a + 1525. Let r(w) = -104*w**2 + 11479*w - 1906. Let d(k) = -14*h(k) - 11*r(k). Suppose d(t) = 0. What is t?
1/6, 128
Let p be 38/240 - (798/(-90) - -9). Let h(g) be the third derivative of p*g**4 - 2/15*g**3 + 12*g**2 + 0*g + 0 + 1/300*g**5. Suppose h(i) = 0. Calculate i.
-4, 1
Suppose -3*o + 4*j + 13 = 0, 3*o + 4*j - 8 + 3 = 0. Let r be (-2 - -7)*(1070/150 + -7). Find w such that -24 + r*w**o - 26/3*w**2 + 32*w = 0.
1, 6
Let r = -461616 - -2299332/5. Let o = -1737 - r. Factor -3*z**2 - 49/5 - o*z - 1/5*z**3.
-(z + 1)*(z + 7)**2/5
Let q be ((-12)/(-4) + -3)*191/382. Let o(h) be the third derivative of q*h - 11/8*h**4 - 30*h**2 + 1/40*h**6 + 0 + 3*h**3 + 1/5*h**5. Factor o(x).
3*(x - 1)**2*(x + 6)
Let a = -101359/360 + -41/360. Let k = a + 282. Solve -k*g**5 - g**4 + 0*g + 4/3*g**2 + 0 + 0*g**3 = 0.
-2, 0, 1
Factor 14*s**2 - 1206 + 6*s**2 - 597*s - 30*s**2 + 10*s**2 + 3*s**2.
3*(s - 201)*(s + 2)
Let k(q) be the second derivative of 15*q**7/14 + 17*q**6/6 - q**5/2 - 15*q**4/2 - 35*q**3/6 + 5*q**2/2 - 2*q - 170. Factor k(u).
5*(u - 1)*(u + 1)**3*(9*u - 1)
Let c be 228/360 - ((-949)/(-130) - 7). Solve r - c*r**3 - 6 + 4/3*r**2 = 0 for r.
-2, 3
Let y be -48 - 1/2*0. Let q = y + 50. Let n(g) = 14*g**2 + 4*g + 3. Let i(l) = 1. Let z(b) = q*n(b) - 6*i(b). Determine w so that z(w) = 0.
-2/7, 0
Let g be ((-460)/80 + 4)/(-4 - -2). Let n(w) be the first derivative of 1/16*w**4 + 1/2*w**3 + g*w**2 + 5/8*w - 17 - 1/40*w**5. Find o, given that n(o) = 0.
-1, 5
Suppose 12*f + 16 - 54 - 22 = 0. Let v(y) be the third derivative of 4/105*y**7 - 17*y**2 + 0 - 1/30*y**6 - 2/15*y**f + 0*y + 0*y**3 + 1/6*y**4. Factor v(q).
4*q*(q - 1)*(q + 1)*(2*q - 1)
Suppose 0 - 1/2*u**2 + 2271/2*u = 0. Calculate u.
0, 2271
Let y(p) = -7*p**2 - 3. Let g(m) = -m**3 - m**2. Let b(d) = g(d) - y(d). Let t be b(6). Factor -15*w**2 - 9*w - 19*w**3 + 3*w - 4*w + 14*w**t.
-5*w*(w + 1)*(w + 2)
Let o(q) be the second derivative of -q**6/135 - 2*q**5/45 + q**4/18 + 10*q**3/27 - 8*q**2/9 + 297*q. Suppose o(v) = 0. Calculate v.
-4, -2, 1
Let m(z) be the first derivative of -5*z**4/4 + 715*z**3/3 - 25915*z**2/2 + 25205*z - 5583. Solve m(j) = 0.
1, 71
Factor -16/9*k - 2/9*k**2 - 32/9.
-2*(k + 4)**2/9
Let d(a) be the first derivative of -a**6/18 - 4*a**5/3 + 13*a**4/4 + 326*a**3/9 - 526*a**2/3 + 280*a - 4094. Let d(p) = 0. Calculate p.
-21, -5, 2
Let x(i) be the first derivative of -5*i**6/3 - 114*i**5/5 - 811*i**4/10 - 194*i**3/5 - 28*i**2/5 - 339. Suppose x(a) = 0. What is a?
-7, -4, -1/5, 0
Let d(h) be the first derivative of 2/7*h + 0*h**3 - 107 - 1/28*h**4 + 3/14*h**2. What is a in d(a) = 0?
-1, 2
Suppose 235*x**3 + 500*x + 89*x**2 + 427*x**4 - 432*x**4 + 560*x**2 + 91*x**2 = 0. Calculate x.
-2, -1, 0, 50
Let f(d) = -9*d**2 - 119*d + 116. Let o(a) = a**2 - 2*a + 1. Let v(c) = -c. Let p(j) = o(j) - 3*v(j). Let k(m) = f(m) + 4*p(m). Factor k(x).
-5*(x - 1)*(x + 24)
Solve 483*m**3 + 575758 - 479*m**3 - 173847*m + 2382039*m + 1626498 + 5940*m**2 = 0 for m.
-742, -1
Factor 134*u**2 - 74*u**2 - 157*u - 59*u**2 - 354 + 36.
(u - 159)*(u + 2)
Factor -12 + 67 + 50*x**2 + 19*x**2 + 49 - 4*x**3 + 204*x + 27*x**2.
-4*(x - 26)*(x + 1)**2
Let p(b) be the second derivative of -b**4/60 - 182*b**3/5 - 149058*b**2/5 + 74*b. What is m in p(m) = 0?
-546
Factor 4*r**2 + 9*r**3 + 32*r**3 + 13*r**2 + 70*r - 40*r**3.
r*(r + 7)*(r + 10)
Let g(u) = 20*u**3 - 444*u**2 + 31*u + 3. Let w(m) = -218*m**3 + 4884*m**2 - 340*m - 34. Let v(a) = 68*g(a) + 6*w(a). Solve v(y) = 0.
0, 1/13, 17
Factor 2/17*q**2 + 14/17*q + 24/17.
2*(q + 3)*(q + 4)/17
Suppose -5*c - 3*a = -14 + 4, 5*c - 10 = -4*a. Factor j**2 - j**2 + 14*j - 2*j**c.
-2*j*(j - 7)
Factor b**5 - 17*b**3 + b**3 + 5*b**4 + 81*b**3 + 9*b**4 + 76*b**2 + 24*b**2.
b**2*(b + 4)*(b + 5)**2
Suppose -5*k = 92 - 187. Factor 7*f + 2 + k*f + 2*f**2 - 20 - 10*f.
2*(f - 1)*(f + 9)
Let k = -540 - -546. Factor 4*b - k*b**2 - 3*b**5 - 13*b + 3*b**4 + 6*b**3 + 6*b + 3.
-3*(b - 1)**3*(b + 1)**2
Suppose -k + 15 = 2*y, -11*k + 3*y = -10*k - 10. Suppose -4*h + 19 = -k. Factor -10*s**4 - h*s**5 - 18*s**3 - 14*s**2 + s**5 + 3*s**5 - 4*s + 2*s**5.
-2*s*(s + 1)**3*(s + 2)
Let l be -6 + (-8)/84*3912 + 0. Let f = l - -379. Factor -6/7*z**2 + 6/7*z**3 - 9/7*z + 3/7*z**5 + 9/7*z**4 - f.
3*(z - 1)*(z + 1)**4/7
What is w in 0*w - 2/5*w**5 + 0*w**3 + 8/5*w**2 - 6/5*w**4 + 0 = 0?
-2, 0, 1
Let l(z) be the first derivative of -z**5/35 + 4*z**3/7 + 8*z**2/7 + 1491. Factor l(u).
-u*(u - 4)*(u + 2)**2/7
Let b(x) = 16*x**3 + 2*x - 7. Let a be b(2). Factor a*t**2 + 31*t**2 - 4056*t - 9424 - 3*t**3 + t**3 + 44576.
-2*(t - 26)**3
Let b(t) = -2*t**3 + 391*t**2 - 569*t - 2520. Let r be b(194). Factor 1/5*d**3 + 483/5*d + 529/5 - 9*d**r.
(d - 23)**2*(d + 1)/5
Let j(x) be the third derivative of 