1/6*r**4 + 1/6*r - 1/6*r**3 + 1/3 = 0. Calculate r.
-1, 1, 2
What is l in -7*l**4 + 245*l**2 + 119*l + 54*l**3 + 2*l**4 - 87*l**3 - 769*l + 83*l**3 = 0?
-5, 0, 2, 13
Let r = -5401 + 5401. Let u(p) be the third derivative of 0*p + 7*p**2 - 1/40*p**6 + 1/336*p**8 - 1/60*p**5 + r*p**3 + 1/210*p**7 + 1/12*p**4 + 0. Factor u(h).
h*(h - 1)**2*(h + 1)*(h + 2)
Let w(q) be the first derivative of -9*q**4/32 + 11*q**3/6 - 17*q**2/4 + 4*q - 6334. Find h, given that w(h) = 0.
8/9, 2
Let y(q) be the third derivative of 7*q**6/90 + q**5/2 + 4*q**4/3 - q**3/6 + 62*q**2. Let a(m) be the first derivative of y(m). Solve a(w) = 0.
-8/7, -1
Find v, given that 0 + 73/3*v**2 + 2/3*v**4 + 0*v + 25*v**3 = 0.
-73/2, -1, 0
Let o(z) be the first derivative of -24 - 1/20*z**5 - 4*z - 5/2*z**3 + 7/12*z**4 + 9/2*z**2. Let r(i) be the first derivative of o(i). Factor r(y).
-(y - 3)**2*(y - 1)
Let j(a) = 21*a**2 - 1400*a - 2812. Let c(f) = -38*f**2 + 2800*f + 5626. Let l(x) = 4*c(x) + 7*j(x). Suppose l(p) = 0. Calculate p.
-2, 282
Let s(a) be the second derivative of -5*a**4/12 + 105*a**3 - 19827*a**2/2 - 62*a. Let d(v) = -5*v**2 + 630*v - 19830. Let j(x) = 6*d(x) - 5*s(x). Factor j(u).
-5*(u - 63)**2
Let f(j) be the first derivative of 1/24*j**4 - 46 + 2*j - 23/12*j**2 + 5/9*j**3. Factor f(d).
(d - 1)**2*(d + 12)/6
Let c(q) be the third derivative of 1/840*q**7 - 1/240*q**6 - 121*q**2 + 0*q**3 + 0 + 0*q**5 + 0*q + 0*q**4. Factor c(x).
x**3*(x - 2)/4
Let f(c) be the first derivative of -c**4/7 - 8*c**3/21 + 2*c**2/7 + 8*c/7 - 1863. Find b, given that f(b) = 0.
-2, -1, 1
Let x(c) be the first derivative of -1/45*c**4 - 18 + 17/3*c**3 + 0*c**5 + 0*c + 0*c**2 + 1/2700*c**6. Let d(u) be the third derivative of x(u). Factor d(i).
2*(i - 2)*(i + 2)/15
Let z be ((-70)/(-6))/(3/9). Suppose -12 = z*k - 38*k. Solve k*y + 15 + 20*y**2 - 44*y - 25*y = 0 for y.
1/4, 3
Suppose 102*b - 3038 = -2834. Solve 5/3*y**b - 7*y - 26/3 = 0.
-1, 26/5
Let 165*w - 393 + 184*w**2 - 1815 + 189*w**2 + 186*w**2 - 562*w**2 = 0. What is w?
23, 32
Suppose -2322*v**2 + 941*v**2 - 2804*v**3 - 2253*v**2 - 562*v**4 - 15*v**2 - 756*v + 8*v**5 + 450 + 209*v**2 = 0. Calculate v.
-3, -1, 1/4, 75
Let j(l) be the first derivative of 176/5*l + 2/3*l**3 - 13 - 222/5*l**2. Suppose j(u) = 0. Calculate u.
2/5, 44
Find z, given that 0*z - 662/9*z**2 + 2/9*z**3 + 0 = 0.
0, 331
Let -14*t**2 - 2/5*t**3 - 186/5 - 254/5*t = 0. What is t?
-31, -3, -1
Let i be 87/27 - (8/(-9))/(-4). Let v(d) = 6*d. Let r be v(i). Factor -g**3 - 207*g**2 - r*g + 8 + 219*g**2 - g**3.
-2*(g - 4)*(g - 1)**2
Let b(s) be the second derivative of -s**4/3 - 784*s**3/3 + 786*s**2 + 18*s - 120. Factor b(c).
-4*(c - 1)*(c + 393)
Suppose -429 = -31*k + 408. Factor -177*n - k*n**2 - n**2 - 3*n**3 - 144 + 14*n + 7*n - 20*n**2.
-3*(n + 2)**2*(n + 12)
Let y(a) be the third derivative of 5*a**6/12 + 25*a**5/4 + 43*a**4/6 - 7*a**3/2 + 2297*a**2. Factor y(x).
(x + 7)*(5*x + 3)*(10*x - 1)
Let d be ((705/84)/5 - (2047/(-92) + 24))*-4. Factor -36/7 + d*g**2 + 2*g.
2*(g - 2)*(g + 9)/7
Let x(j) be the second derivative of 3*j**5/20 + 33*j**4/2 + 129*j**3/2 + 96*j**2 + 2567*j. What is w in x(w) = 0?
-64, -1
Let q = 6229/4150 + -2/2075. Suppose p + 27 = 4*p. What is r in 9*r**2 + p + q*r**3 + 33/2*r = 0?
-3, -2, -1
Let n(f) = -20*f**2 + 16 - 66*f + 242*f + 159*f - 331. Let u(b) = 3*b**2 - 48*b + 45. Let d(y) = -2*n(y) - 15*u(y). Suppose d(s) = 0. What is s?
1, 9
Let 2/3*f**3 + 6490/3*f + 224/3*f**2 + 12100/3 = 0. Calculate f.
-55, -2
Let d be -38 + 52 - (-85)/5. Let f(m) be the first derivative of -2/15*m**5 - 32/3*m**2 + 0*m**3 + 0*m + d + m**4. What is s in f(s) = 0?
-2, 0, 4
Factor -1/7*o**3 + 143/7*o + 20*o**2 - 282/7.
-(o - 141)*(o - 1)*(o + 2)/7
Let i be 12940/(-1254) + 12/(-114) + 0. Let o = i + 155/11. Solve -1/3 + 1/3*m + 2*m**2 + o*m**4 - 14/3*m**3 - m**5 = 0 for m.
-1/3, 1
Suppose -235/2 + 3/2*d**2 - 352*d = 0. What is d?
-1/3, 235
Factor -b**2 + 3/11*b**4 - 1/11*b**3 - 4/11 - 12/11*b + 1/11*b**5.
(b - 2)*(b + 1)**3*(b + 2)/11
Let c(t) be the second derivative of -607*t**5/20 + t**4/12 + 11*t**3 - t**2 - 55*t. Let s(f) = 405*f**3 - 44*f + 1. Let n(a) = -5*c(a) - 7*s(a). Factor n(r).
(5*r - 1)**2*(8*r + 3)
Factor -2*m**4 - 34*m**3 - 42*m**3 + 102*m**2 + 20*m**3 - 124*m + 80*m**2.
-2*m*(m - 2)*(m - 1)*(m + 31)
Let h = 99 - 97. Suppose -7 = -3*d + h. Let -17/2*t**2 - t - 4*t**4 + 0 - 39/2*t**d + 8*t**5 = 0. What is t?
-1, -1/4, 0, 2
Let s be 1/(-3) + 49/21. Let v(z) = -2*z**2 - 30*z - 30. Let x be v(-13). Find o, given that 2*o**2 + x*o - 22*o - 6*o**s = 0.
0
Let v(d) be the first derivative of 160*d**2 + 400*d - 76/3*d**3 + d**4 - 186. Factor v(x).
4*(x - 10)**2*(x + 1)
Let n(c) = -5*c**3 - 58*c**2 + 1948*c + 18. Let i(w) = -6*w**3 - 53*w**2 + 1950*w + 21. Let h(k) = -6*i(k) + 7*n(k). Suppose h(z) = 0. What is z?
0, 44
Let c be 59/72 + (-896)/2016. Let o(x) be the first derivative of 22 - 3/16*x**2 + c*x**3 - 9/8*x + 3/32*x**4. Find f such that o(f) = 0.
-3, -1, 1
Let n be (3 - (-177)/6)*1. Let i = 4359 + -4357. What is b in -n*b**2 - i - 25/2*b**3 - 16*b = 0?
-2, -2/5, -1/5
Let i(c) be the first derivative of c**4/14 - c**2/7 - 3362. Factor i(w).
2*w*(w - 1)*(w + 1)/7
Let s(q) be the first derivative of 2*q + 5887/16*q**4 + 1247/6*q**3 + 65/2*q**2 - 123. Determine o so that s(o) = 0.
-2/7, -2/29
Suppose 154*t**3 - 2560*t + 1356*t**2 - 756 - 965 + 121 + 4*t**4 = 0. What is t?
-20, -1/2, 2
Let s(a) be the third derivative of 0*a - 2/525*a**7 - 1/40*a**4 + 1/1680*a**8 - 59*a**2 + 0 + 0*a**3 + 1/75*a**5 + 1/300*a**6. Factor s(h).
h*(h - 3)*(h - 1)**2*(h + 1)/5
Let n(v) be the first derivative of v**6/72 + 5*v**5/12 + 15*v**4/8 - 11*v**3 + 82. Let k(y) be the third derivative of n(y). Solve k(l) = 0 for l.
-9, -1
Let z(n) be the third derivative of 0*n**3 - 1/60*n**6 + 0 - 1/1512*n**8 - 7/270*n**5 - 1/189*n**7 + 0*n - 207*n**2 - 1/54*n**4. Solve z(c) = 0.
-2, -1, 0
Let n(i) be the second derivative of 147*i**6/2 + 10689*i**5/20 - 573*i**4/4 - 63*i**3/2 + 15*i**2 + 1955*i. Let n(o) = 0. Calculate o.
-5, -2/15, 1/7
Let a(f) = 88*f + 10826. Let y be a(-123). Let 10/13*r**y + 0 - 28/13*r + 2/13*r**3 = 0. What is r?
-7, 0, 2
Let x(n) = 2*n**2 - 38*n - 60. Let v be x(22). Determine d, given that 20*d**2 - 12*d**4 - 25*d**4 - 9*d**4 + v*d**3 - 140*d + 24 + 2*d**4 + 68*d**3 = 0.
-1, 2/11, 1, 3
Suppose -5*t + 1 = 11*t - 47. Let z(s) be the first derivative of 0*s + 10 - 1/2*s**6 + 12*s**2 + 3*s**5 - 4*s**t - 9/2*s**4. Suppose z(r) = 0. What is r?
-1, 0, 2
Let o = 1652/129 - 522/43. Let k(x) be the first derivative of 23 - 2*x + o*x**2 - 2/27*x**3. Factor k(l).
-2*(l - 3)**2/9
Suppose -76 = -3*p - 5*m, 1917*p + 52 = 1922*p - m. Factor -2/3*h**3 + 34/3*h**2 + 0 + p*h.
-2*h*(h - 18)*(h + 1)/3
Let l(m) be the first derivative of 3*m**4/14 + 2*m**3/7 - 24*m**2/7 + 75*m + 58. Let r(f) be the first derivative of l(f). Determine a so that r(a) = 0.
-2, 4/3
Let y(p) be the third derivative of p**5/60 - 9*p**4/4 + p**2 + 193. Factor y(a).
a*(a - 54)
What is b in 3/2*b**3 + 6697152*b + 6690816 + 12675/2*b**2 = 0?
-2112, -1
Let o(j) be the third derivative of 4*j**7/105 - 11*j**6/60 - 19*j**5/30 - j**4/3 + 1923*j**2. Factor o(f).
2*f*(f - 4)*(f + 1)*(4*f + 1)
Let l(n) = -n**3 + 6*n**2 + 2*n - 42. Let m be l(4). Let h be (3 - m) + (42/(-10) - -2). Factor h*v**2 - 2/5*v**3 - 6*v + 18/5.
-2*(v - 3)**2*(v - 1)/5
Factor -8*t - 5*t**3 + 5*t**3 - 2*t**3 + 8*t**2.
-2*t*(t - 2)**2
Let h(w) be the second derivative of -w**5/30 + 7*w**4/48 - w**3/4 - 23*w**2/2 + 2*w + 93. Let v(l) be the first derivative of h(l). Factor v(p).
-(p - 1)*(4*p - 3)/2
Factor 0 + 1/2*a**3 - 22*a**2 - 96*a.
a*(a - 48)*(a + 4)/2
Factor 0*x + 0*x**2 + 0 - 144*x**3 - 2/15*x**4.
-2*x**3*(x + 1080)/15
Suppose 5*j = p - 261 + 285, -j - 4*p = 12. Find k such that 4/5*k**2 - j - 16/5*k = 0.
-1, 5
Let x(s) be the second derivative of s**6/10 - 9*s**5/5 + 27*s**4/4 + 52*s**3 - 504*s**2 + 2331*s. Factor x(j).
3*(j - 7)*(j - 4)**2*(j + 3)
Let c = 148 + -144. Find k, given that 12*k - 59*k**c + 53*k**4 + 25*k**2 + 2*k**3 - k**2 - 3*k**5 + 7*k**3 = 0.
-2, -1, 0, 2
Factor 4/3*x**2 + 112/3*x + 0.
4*x*(x + 28)/3
Let s(n) be the third derivative of n**7/315 - 419*n**6/36 - 233*n**5/10 + 2095*n**4/36 + 2096*n**3/9 + 1140*n**2. Let s(q) 