d derivative of -2/51*f**3 + 0 + 3/17*f**2 - 1/102*f**4 - 44*f. What is t in o(t) = 0?
-3, 1
Suppose -371 = -77*w + 784. Let d(j) be the second derivative of w*j - 1/36*j**4 + 1/40*j**5 + 0 - 1/36*j**3 + 0*j**2. What is i in d(i) = 0?
-1/3, 0, 1
Let x = 1288387/106 - 12155. Let l = 5/53 - x. Factor -l*b**2 + 1/2*b**3 + 0*b + 0.
b**2*(b - 1)/2
Let y(f) be the second derivative of 10/21*f**2 - 11/63*f**3 + 0 + 1/126*f**4 + 57*f. Factor y(m).
2*(m - 10)*(m - 1)/21
Let h = -783631/3 + 261212. Factor 28/3*a**3 - h*a**4 - 6*a - 11*a**2 + 0.
-a*(a - 3)**2*(5*a + 2)/3
Let o(a) be the first derivative of 7*a**5/30 - 41*a**4/24 + 29*a**3/9 - 2*a**2 + 1542. Solve o(n) = 0 for n.
0, 6/7, 1, 4
Suppose 33*s - 73 = 92. Let u(g) be the third derivative of -2/105*g**7 - 5/3*g**s + 0*g + 0*g**3 + 0 + 0*g**4 - 40*g**2 + 1/3*g**6. Let u(q) = 0. What is q?
0, 5
Let q(y) = 4*y**3 + 1488*y**2 + 2*y - 8. Let c(v) = -15*v**3 - 4463*v**2 - 7*v + 28. Let o(a) = 4*c(a) + 14*q(a). Find m such that o(m) = 0.
0, 745
Let z(q) be the first derivative of -2*q + 37 - 7/2*q**2 - q**3. Factor z(p).
-(p + 2)*(3*p + 1)
Let r = 4344734/9 - 483316. Let v = r + 568. Factor v + 16/9*i**2 - i - 1/9*i**5 + 2/3*i**4 - 14/9*i**3.
-(i - 2)*(i - 1)**4/9
Let g(i) be the third derivative of 1/30*i**4 - 31*i + 0 - 2*i**2 - 1/300*i**5 + 0*i**3. Factor g(p).
-p*(p - 4)/5
Let x be (6/2)/(72/(-48)) - (-2 + -5). Let f(t) be the first derivative of 0*t**4 - 1/2*t**2 - 7 - 1/10*t**x + 0*t + 1/2*t**3. Factor f(m).
-m*(m - 1)**2*(m + 2)/2
Factor 37/10*l**2 - 2*l - 19/10 + 1/5*l**3.
(l - 1)*(l + 19)*(2*l + 1)/10
Suppose 4*m + 56 = 15974*z - 15970*z, -3*z - 4*m = 28. Determine n, given that -n - 1/3*n**z + 2/3 + n**3 - 1/3*n**2 = 0.
-1, 1, 2
Let k(b) be the first derivative of -b**5 + 15*b**4/4 + 5*b**3 - 35*b**2/2 - 30*b + 2634. Find x, given that k(x) = 0.
-1, 2, 3
Suppose 4*r + 3*f = 7*r - 141, 32 = r + 4*f. What is v in r + v**2 + 12*v + 74 - 131 = 0?
-13, 1
Let d be 0 + (-2)/14 - 3784/(-1204). Suppose d*i = -3*i - 7*i. Solve 0*q + i + 1/4*q**2 = 0 for q.
0
Suppose l = -2*t - 2, -t - 2 = 3*l - 6. Let r be (-2)/(-2) - (t + 44/(-20)). Determine v so that r*v + 12/5 - 2*v**2 = 0.
-2/5, 3
Factor -3/7*l**2 + 0 - 15/7*l.
-3*l*(l + 5)/7
Factor 0 + 3/2*d**5 - 3/2*d**4 - 6*d - 27/2*d**3 - 33/2*d**2.
3*d*(d - 4)*(d + 1)**3/2
Determine v, given that 2/25*v**2 + 67712 - 736/5*v = 0.
920
Let v(j) be the third derivative of 0 - 1/15*j**5 - 46/3*j**3 - 4*j**4 + 0*j - 105*j**2. Factor v(b).
-4*(b + 1)*(b + 23)
Let z = 13 + 1. Suppose -8 = 3*y - z. Determine f, given that -f + y + 5*f - f**2 - 3*f = 0.
-1, 2
Find t such that -56*t - 9*t**3 + 32*t - 21*t**2 + 42*t + 0*t**2 = 0.
-3, 0, 2/3
Let g = -19517 - -2790998/143. Let q = g - 1/143. Let -q*y**3 - 64/13*y**2 - 190/13*y - 100/13 = 0. Calculate y.
-5, -2/3
Let r = 579 + -4045/7. Suppose -o + 16 = 4*u, 3*u = -0*u - 5*o + 29. Factor 0 + r*s + 4*s**2 + 12/7*s**u.
4*s*(s + 2)*(3*s + 1)/7
Let h = 207 + -186. Let a(s) = s**2 + s. Let k(g) = 2*g + 2*g**2 + g**2 + g**2. Let j(o) = h*a(o) - 6*k(o). Solve j(l) = 0 for l.
0, 3
Let a(f) be the third derivative of -f**4/8 + 5*f**3/6 + 12*f**2. Let o be a(1). Suppose m**2 + 37 - m**4 - 37 + 0*m**o = 0. Calculate m.
-1, 0, 1
Let y(b) = 64*b**2 + 239*b. Let q(h) = 204*h**2 + 716*h. Let v(o) = -5*q(o) + 16*y(o). Solve v(c) = 0 for c.
-61, 0
Suppose 121 + 1/3*p**3 + 55/3*p - 19/3*p**2 = 0. What is p?
-3, 11
Let x(d) be the second derivative of -d**5/5 - 4*d**4 + 170*d**3/3 - 1734*d. Factor x(i).
-4*i*(i - 5)*(i + 17)
Suppose 0 = 4*m - 5 - 15. Suppose -2*h = 5*z - 20, -3*z = -m*z + 5*h + 8. Factor -2*p**4 - 5*p**5 - p - 3*p**2 + 5*p**4 + 3*p + z*p**5 - p**3.
-p*(p - 2)*(p - 1)**2*(p + 1)
Let n be 2*(-2)/(-12)*((-805)/(-112) + -7). Let f(l) be the second derivative of 1/2*l**2 + 12*l - n*l**4 - 1/80*l**5 + 0*l**3 + 0. Solve f(s) = 0.
-2, 1
Let a(m) be the first derivative of -6301250*m**3/33 - 7100*m**2/11 - 8*m/11 + 11401. Determine u so that a(u) = 0.
-2/1775
Let g(t) be the second derivative of 1/55*t**6 + 0*t**2 + 0 - 12/11*t**3 + 16/11*t**4 + 7/22*t**5 - 15*t. What is d in g(d) = 0?
-6, 0, 1/3
Let j = -3/7403 - -133269/37015. Determine k, given that -j*k**2 + 3/5*k**3 + 33/5*k - 18/5 = 0.
1, 2, 3
Find j, given that -24/7*j + 116/7*j**2 - 12*j**3 + 16/7*j**4 + 0 = 0.
0, 1/4, 2, 3
Let f = 75 - 73. Suppose -2*i = -3*t + 9, 4*t - f*i + 6 - 18 = 0. Determine p so that -6*p + 6*p**2 - 6*p**3 - 437 + 439 + 4*p**t = 0.
1
Suppose 178/3*b**2 - 1588/9*b + 352/3 - 2/9*b**3 = 0. What is b?
1, 2, 264
Factor 40*h - 1/2*h**3 - 17/2*h**2 - 42.
-(h - 2)**2*(h + 21)/2
Let k = 59046 - 59041. Let 0 - 8*o**2 + 0*o + 116/7*o**3 + 4/7*o**k - 64/7*o**4 = 0. What is o?
0, 1, 14
Find n such that n**4 - 12*n**4 - 349*n**2 - 55*n**3 - 95*n + 399*n + n**5 + 480*n**2 + 504 + 374*n = 0.
-3, -1, 4, 14
Let z = 56179 - 56177. Let -2/11*v**z - 10/11 - 12/11*v = 0. Calculate v.
-5, -1
Let c(u) be the second derivative of 0*u**3 + 1/135*u**6 - 5/54*u**4 + 0 + 73*u + 4/9*u**2 + 0*u**5. Let c(j) = 0. What is j?
-2, -1, 1, 2
Let p be (-88)/(-42) + -3*44/1386. Let d(b) be the first derivative of 2/3*b - 1/6*b**2 + p - 7/15*b**5 - 5/3*b**3 - 19/12*b**4. Factor d(f).
-(f + 1)**3*(7*f - 2)/3
Let h(r) be the second derivative of -5*r**4/12 - 115*r**3/2 + 925*r**2 + 143*r + 3. Factor h(x).
-5*(x - 5)*(x + 74)
Let f(z) be the first derivative of -17*z**2 - 2/21*z**4 - 1/105*z**5 + 0*z + 33 + 0*z**3. Let h(m) be the second derivative of f(m). Let h(o) = 0. What is o?
-4, 0
Let r(y) be the second derivative of -y**5/12 - 55*y**4/6 - 1210*y**3/3 + 15*y**2/2 - 143*y. Let j(w) be the first derivative of r(w). Factor j(m).
-5*(m + 22)**2
Solve -1072*k - 167/2*k**2 + 1152 + 13/4*k**3 + 1/4*k**4 = 0.
-16, 1, 18
Let n(f) be the first derivative of -2*f**5/5 - 40*f**4 - 1066*f**3 + 80*f**2 + 3200*f - 1479. Factor n(y).
-2*(y - 1)*(y + 1)*(y + 40)**2
Let q(x) be the second derivative of -9/2*x**2 - x + 2 + 17/4*x**3 + 7/40*x**5 + 5/3*x**4. Determine w, given that q(w) = 0.
-3, 2/7
Suppose 2*w + 4*b - 2*b = 0, -4*b = 20. Let m be ((-177)/(-36) - w)*-16. Suppose 0 + 0*x**2 + 4/3*x - m*x**3 = 0. Calculate x.
-1, 0, 1
Find p, given that 252/5 - 8/5*p**2 - 118/5*p + 2/5*p**3 = 0.
-7, 2, 9
Factor -15*y - 2*y + 3*y**2 - 876 + 130*y - 320*y.
3*(y - 73)*(y + 4)
Let k(s) be the third derivative of -s**6/60 + 9*s**5/2 - 1829*s**4/4 + 59177*s**3/3 - s**2 - 2*s + 246. Find p, given that k(p) = 0.
17, 59
Suppose 23*q = -2*q + 50. Determine z so that -3*z - 3*z - 1730*z**2 + 21*z**3 + 1715*z**q = 0.
-2/7, 0, 1
Let c(k) = k + 19. Let z be c(-8). Suppose -3*d - 5*w + z = 0, 78*w + 6 = 4*d + 76*w. Factor b + 2/7 + 3/7*b**d.
(b + 2)*(3*b + 1)/7
Let i be (-3)/12 - (-1770)/(-80). Let k = -22 - i. Factor 0*y**2 + 0*y + 3/8*y**3 + k*y**4 + 0.
3*y**3*(y + 1)/8
Let h(n) be the third derivative of n**6/1140 - 214*n**5/285 + 853*n**4/228 - 142*n**3/19 + 1166*n**2. Factor h(b).
2*(b - 426)*(b - 1)**2/19
Let b(c) be the third derivative of -c**6/200 - c**5/50 + 21*c**4/10 + 36*c**3 - 18*c**2 + 30. Factor b(u).
-3*(u - 10)*(u + 6)**2/5
Let m(z) be the second derivative of z**6/15 + 17*z**5/10 + 47*z**4/3 + 56*z**3 + 10557*z. Factor m(r).
2*r*(r + 4)*(r + 6)*(r + 7)
Suppose z + 28 = n + 5, 2*n + 2*z - 26 = 0. Suppose -3*j**2 + 24*j**3 - 4*j**3 - 4*j**4 - 128*j + n*j**2 + 9*j**2 - 128 = 0. Calculate j.
-2, -1, 4
Let b = 77135 + -5399277/70. Let u = -29/14 + b. Factor 1/5*o**2 - 1/5*o**3 + 0 + u*o.
-o*(o - 2)*(o + 1)/5
Let i(v) be the first derivative of 3/25*v**5 - 188 + 3/5*v**2 - 9/5*v**3 - 3/10*v**4 + 24/5*v. Determine q so that i(q) = 0.
-2, -1, 1, 4
Let n(k) be the first derivative of -2*k + 1/24*k**4 + 1/18*k**3 + 0*k**2 + 1/120*k**5 + 9. Let w(s) be the first derivative of n(s). Factor w(m).
m*(m + 1)*(m + 2)/6
Let b(n) be the third derivative of 4*n + 0 - 14*n**2 + 2/195*n**5 + 1/780*n**6 - 1/156*n**4 - 4/39*n**3. Let b(h) = 0. Calculate h.
-4, -1, 1
Factor -7*v**3 + 13*v**3 - 9*v**3 + 517*v**2 - 2*v**3 + 68*v**2.
-5*v**2*(v - 117)
Let w = -1255602 - -11301476/9. Factor -2/9*y**3 + w + 94/9*y**2 - 1150/9*y.
-2*(y - 23)**2*(y - 1)/9
Factor 107528*c**3 - 20 + 0 - 25*c**2 - 107533*c**3 - 40*c.
-5*(c + 1)*(c + 2)**2
Factor -2/9*a**2 - 148/3 + 226/9*a.
-2*(a - 111)*(a - 2)/9
Let p(u) be the second derivative of 0