0*r - 6*r**2 + 45 + 7*r**2 + r**2 + 3*r**s = 0.
3
Let y(c) = c**3 + 6*c**2 + 24*c + 114. Let k be y(-5). Let l(g) be the first derivative of k + 4/5*g**3 + 2*g**2 - 8/5*g. Find x, given that l(x) = 0.
-2, 1/3
Suppose -615*w + 628*w = 52. Solve 2/11*x**3 - 2/11*x - 2/11*x**2 + 0 + 2/11*x**w = 0.
-1, 0, 1
Let u = 1726 - 1722. Let x(s) be the second derivative of 1/20*s**5 - 1/6*s**3 - 22*s + 0 + 1/12*s**u - 1/2*s**2. Factor x(b).
(b - 1)*(b + 1)**2
Suppose -10 = 5*v - 5*a, -41 = -7*v + 10*a - 14*a. Factor d**4 + 8/3*d + 20/3*d**2 + 0 + 14/3*d**v.
d*(d + 2)**2*(3*d + 2)/3
Let f(w) = w**2 + 3*w + 5. Let o be ((-2)/4)/(-7 + 29/4). Let a be f(o). Factor 27*m - 33*m - 11*m**2 + a*m**2 + 5*m**4 + 6*m**3 + 3*m**4.
2*m*(m - 1)*(m + 1)*(4*m + 3)
Let v(j) = 6*j**2 + 2284*j - 240. Let h(o) = 17*o**2 + 6851*o - 660. Let n(b) = 4*h(b) - 11*v(b). Let n(i) = 0. Calculate i.
-1140, 0
What is n in -25/6*n**2 - 1/6*n**3 + 0 - 4*n = 0?
-24, -1, 0
Let k be (-3 - (5 + (-60)/6)) + 2. Let o(l) = -l**2 + 10*l - 21. Let q be o(k). Suppose -8/3*h - 8/3*h**q + 2/3*h**4 + 4*h**2 + 2/3 = 0. What is h?
1
Let b(k) be the first derivative of k**4/14 + 106*k**3/3 + 105*k**2 - 2214*k/7 + 2924. Let b(u) = 0. Calculate u.
-369, -3, 1
Let t(k) be the third derivative of k**9/5040 - k**8/560 - k**7/168 + 13*k**4/24 + 11*k**2 + 4*k. Let j(i) be the second derivative of t(i). Factor j(m).
3*m**2*(m - 5)*(m + 1)
Let o(v) = 25*v**3 - 1204*v**2 - 739*v + 490. Let g(a) = 225*a**3 - 10835*a**2 - 6650*a + 4410. Let m(j) = -6*g(j) + 55*o(j). Factor m(i).
5*(i - 49)*(i + 1)*(5*i - 2)
Suppose 4*c + 4*s = 68, 2*c - 75 = -2*c + 3*s. Let k be (-10)/(-12)*10 - c/54. Solve -x + 4 + 16*x**3 + 3*x**2 - 7*x**2 - 7*x**3 - k*x**3 = 0 for x.
-1, 1, 4
Suppose -409 - 50 = -m. Suppose m*y - 464*y + 10 = 0. Let 4/15*v**y - 2/5*v - 2/5*v**4 + 2/15*v**5 + 4/15*v**3 + 2/15 = 0. Calculate v.
-1, 1
Let k = -1471003/336 - -4378. Let c(q) be the third derivative of 1/6*q**7 + 0 - 5/8*q**6 + 3/4*q**5 + 0*q**3 + 0*q + 18*q**2 - k*q**8 + 0*q**4. Factor c(f).
-5*f**2*(f - 3)**2*(f - 1)
Let f(i) = 2*i**3 + i. Let a(o) = -o**2 + 2*o + 17. Let w be a(5). Let d(g) = -3*g**3 + g**2 - 2*g. Let x(r) = w*d(r) + 4*f(r). Factor x(m).
2*m**2*(m + 1)
Let m = -265 - -288. Suppose -m*n + w = -22*n, 4*n = 3*w. Factor n + 4/5*j**5 + 16/5*j**3 + 0*j**2 - 16/5*j**4 + 0*j.
4*j**3*(j - 2)**2/5
Let i = 342849 + -342847. Factor 0*w + 1/2*w**4 + 0 + 6*w**i - 4*w**3.
w**2*(w - 6)*(w - 2)/2
Let l(u) be the third derivative of 1/4*u**6 + 2/3*u**5 + 26*u**2 - 4/21*u**7 + 0 - 35/24*u**4 + 0*u + 5/336*u**8 + 0*u**3. Factor l(w).
5*w*(w - 7)*(w - 1)**2*(w + 1)
Let f be ((-4)/(-14))/((-72)/(-144)). Suppose 0 = -2*i - b + 3 - 1, -4*i + 3*b = -14. Suppose 0 - 2/7*c**4 - f*c**i + 6/7*c**3 + 0*c = 0. Calculate c.
0, 1, 2
Let r be 2*1 + 140/(-252)*-9. Let o(m) be the third derivative of 0 + 0*m**3 - 2/105*m**r + 0*m - 1/5*m**5 + 0*m**4 + 2/15*m**6 + 6*m**2. What is v in o(v) = 0?
0, 1, 3
Let w(q) be the third derivative of -q**5/30 - 13*q**4/6 + 272*q**3/3 + 1331*q**2. Suppose w(i) = 0. What is i?
-34, 8
Let r = -13/1866 + 135197/121290. Let w = -4/13 + r. Solve -44/5*y + 24/5 - w*y**3 + 24/5*y**2 = 0.
1, 2, 3
Determine q so that -332/5 + 332/5*q**2 - 2/5*q**3 + 2/5*q = 0.
-1, 1, 166
Let p(l) be the first derivative of 9/4*l**2 - 3/8*l**4 + 0*l**3 + 3*l - 67. Factor p(w).
-3*(w - 2)*(w + 1)**2/2
Let p = 5/143 - -4531/1287. Factor p + 58/9*a**2 - 2/3*a**3 - 28/3*a.
-2*(a - 8)*(a - 1)*(3*a - 2)/9
Let b(t) be the first derivative of 53/18*t**4 - 16*t - 19/3*t**2 - 239 + 134/27*t**3 + 2/5*t**5. Suppose b(r) = 0. Calculate r.
-3, -8/9, 1
Factor -1 + 18 + 532*h**2 + 128325*h - 127253*h - 1.
4*(h + 2)*(133*h + 2)
Let g(p) = -11*p**2 - 50*p + 745. Let n(l) = 6*l**2 + 25*l - 389. Let h(r) = -5*g(r) - 9*n(r). Factor h(u).
(u - 7)*(u + 32)
Let t be (8 - 3)/5*15. Suppose 5*m = 5*g - t, 2*m + 22 = -4*g + 34. Factor 0*c**2 + 15/2*c**3 - 10*c**4 + 0*c + 5/2*c**5 + m.
5*c**3*(c - 3)*(c - 1)/2
Let o = 571426 - 571424. Determine d, given that 3/7*d**3 - 3*d**o - 27/7 + 45/7*d = 0.
1, 3
Suppose 162*w - 161*w - 3*d + 6 = 0, d = 5*w + 2. Let t(j) be the second derivative of -14/3*j**3 + 1/6*j**4 + 49*j**2 + w + 36*j. Factor t(r).
2*(r - 7)**2
Let j be ((-13)/4)/((-84)/(-24))*982. Let g = j - -913. Factor -g - 6*p**2 + 8/7*p**3 + 6*p.
2*(p - 4)*(p - 1)*(4*p - 1)/7
Let z(b) be the third derivative of -13*b**8/3696 - 103*b**7/2310 - 7*b**6/132 + b**5/6 + 83*b**4/264 - 7*b**3/66 + 8*b**2 + 15*b - 2. Let z(i) = 0. What is i?
-7, -1, 1/13, 1
What is h in 11/2*h**2 - 1/2*h**4 - 6*h**3 + 2*h**5 + 0 - h = 0?
-2, 0, 1/4, 1
Find s such that -149 - 151/2*s - 1/2*s**2 = 0.
-149, -2
Suppose 4 = 6*n - 8. Suppose n*x + 3*k + 13 - 141 = 0, x - 64 = 2*k. Factor 0*l**4 + 4*l**2 - 96*l + 4*l**3 + x + 4*l**4 + 20*l**3.
4*(l - 1)**2*(l + 4)**2
Let t(w) = -31*w - 8. Let n be t(-3). Suppose 91*k - n*k = 18. Solve -5/6*p**k + 5/6*p + 0*p**2 + 0 = 0.
-1, 0, 1
Suppose 2560*z + 38343 - 104903 = 0. Find s such that 5*s**2 + z*s + 169/5 = 0.
-13/5
Let c(j) be the second derivative of 4/5*j**2 + 1/105*j**7 + 0 - 1/25*j**6 - 1/50*j**5 - 4/5*j**3 + 11/30*j**4 - 26*j. Find o, given that c(o) = 0.
-2, 1, 2
Let v(c) be the second derivative of c**10/20790 + c**9/6930 - c**8/4928 + c**7/13860 - c**4/4 + 6*c. Let y(n) be the third derivative of v(n). Solve y(q) = 0.
-2, 0, 1/4
Let t(i) = 5*i**2 + 2*i - 1. Let k be t(1). Let p = 8 - k. Suppose -5*f - p*f**2 + f**4 + 228*f**3 - 2 - f**2 - 227*f**3 = 0. Calculate f.
-1, 2
Let j = 591432/7 - 84476. Suppose 66/7*b**2 + 2/7*b**4 - 10/7*b - j - 22/7*b**3 = 0. Calculate b.
-1, 2, 5
Let y be 12/(-38 - 10)*(-1 - 3). Let g be (-24)/(-6) + (-2 - y) - 1. Suppose 0*i**2 - 2/17*i + 2/17*i**3 + g = 0. What is i?
-1, 0, 1
Let f = -12301 + 12303. Suppose 1/6*b**4 - 1/3*b**2 - 1/2*b**3 + f*b - 4/3 = 0. What is b?
-2, 1, 2
Let n(m) be the second derivative of -m**6/345 + 7*m**5/46 + 33*m**4/23 + 88*m**3/69 - 320*m**2/23 + 1170*m. Determine o so that n(o) = 0.
-4, -2, 1, 40
Let d(z) be the first derivative of -8788*z + 40*z**4 - 4/5*z**5 - 90 + 5408*z**2 - 728*z**3. Factor d(w).
-4*(w - 13)**3*(w - 1)
Suppose -2*n - 2*n = 0, 4*o = -3*n + 3496. Let x = o + -6098/7. Factor x*g + 50/7 + 2/7*g**2.
2*(g + 5)**2/7
Let m(d) be the third derivative of -d**5/510 + 52*d**4/51 - 205*d**3/17 + 111*d**2 - 2*d. Factor m(n).
-2*(n - 205)*(n - 3)/17
Find d, given that -12/5*d**2 + 177/5 - 141*d = 0.
-59, 1/4
Let i be (768/18 - 2)/((-8)/(-12)). Solve 168*z - 225 + 1373*z**2 - 690*z**2 + i - 687*z**2 = 0 for z.
1, 41
Factor 786/7*l + 3/7 - 789/7*l**2.
-3*(l - 1)*(263*l + 1)/7
Suppose 38 = 4*q + 2*a, -3*q + 3*a = 25 - 40. Suppose 4*p - 4*b = -q, 2*b + 3 = -4*p + 5*b. Determine i, given that 0 - 6/17*i**2 + 4/17*i + 2/17*i**p = 0.
0, 1, 2
Let 0 + 157/3*f**3 + f**4 + 1345/3*f**2 + 3175/3*f = 0. What is f?
-127/3, -5, 0
Let f be 1/(17/51)*-2 - 100/(-12). Factor 5/2 - 1/6*v**2 + f*v.
-(v - 15)*(v + 1)/6
Let q(t) be the third derivative of t**5/180 + 71*t**4/36 - 9*t**2 - 145*t. Let q(h) = 0. Calculate h.
-142, 0
Factor -22*v**3 - 101*v**2 - 5*v**4 - 720 - 384*v**2 - 1320*v + 132*v**3.
-5*(v - 12)**2*(v + 1)**2
Let q(c) = -11*c**3 - 515*c**2 + 7*c + 505. Let u(p) = 114*p**3 + 5154*p**2 - 72*p - 5049. Let l(k) = 21*q(k) + 2*u(k). Find i, given that l(i) = 0.
-169, -1, 1
Let s be 35/35 + (26 - 1). Let o be 70/(-280) + s/8. Solve -48/5*z - 4/5*z**o + 32/5 + 24/5*z**2 = 0.
2
Let y(x) be the first derivative of 2*x**3/11 - 304*x**2/11 + 202*x/11 - 1916. Factor y(f).
2*(f - 101)*(3*f - 1)/11
Let n be ((-16)/(-6)*2)/(23349/(-1629) + 28 + -1). Solve -10/19*m**3 + 2/19*m**5 + 24/19 - 30/19*m**2 + 6/19*m**4 + n*m = 0 for m.
-3, -2, -1, 1, 2
Find a such that 0 + 68/7*a + 1254/7*a**2 - 74/7*a**3 = 0.
-2/37, 0, 17
Let b(n) be the third derivative of n**8/336 + 9*n**7/70 + 7*n**6/4 + 5*n**5/3 - 125*n**4 + 111*n**2 + 4. Factor b(m).
m*(m - 3)*(m + 10)**3
Let q be -5 - ((-2)/7 + 88254/630). Let m = q + 146. Factor -m*f**2 + 3*f**3 + 0 + 21/5*f**4 + 0*f.
3*f**2*(f + 1)*(7*f - 2)/5
Factor -440*a + 796*a + 900 - 561*a - 5*a**2.
-5*(a - 4)*(a + 45)
Let k(c) be the second derivative of 2*c**5/35 + 71*c**4/21 + 10*c**3/3 + 588*c. Suppose k(n) = 0. What is n?
-35, -1/2, 0
Let h(k) be the first derivative of -k**3/7 - 72*k**