1, 0
Let m(i) be the second derivative of -2*i**4 - 6*i**3 - 3*i**2 + i. Let v(q) = 24*q**2 + 37*q + 5. Let s(w) = -4*m(w) - 3*v(w). What is f in s(f) = 0?
-1, -3/8
Factor -3*q**3 - 3428280*q + 3400649 + 21223 + 1509*q**2 + 4902*q**2.
-3*(q - 1068)**2*(q - 1)
Let n(j) be the second derivative of -j**6/60 - 273*j**5/40 + 137*j**4/12 + j - 463. Factor n(a).
-a**2*(a - 1)*(a + 274)/2
Let c(m) be the third derivative of 0 - 1/80*m**6 + 0*m - 11/40*m**5 - 222*m**2 + 0*m**3 - 5/8*m**4. Suppose c(v) = 0. What is v?
-10, -1, 0
Suppose -2*k + 5*k = -18. Let l be ((-6)/(-4))/(0 + (-3)/k). Solve -26*w + 2*w**2 + 20*w + w**l + w**2 + 2*w**3 = 0.
-2, 0, 1
Let -27/2 + 1/2*i**2 - 13*i = 0. Calculate i.
-1, 27
Let v(u) be the first derivative of u**3/7 + 201*u**2/14 - 204*u/7 + 1008. Factor v(j).
3*(j - 1)*(j + 68)/7
Let t(j) be the second derivative of -j**6/160 + 3*j**5/16 - 3*j**4/2 - 8*j**3 + 103*j**2/2 + 63*j. Let k(m) be the first derivative of t(m). Factor k(a).
-3*(a - 8)**2*(a + 1)/4
Let x(c) be the third derivative of c**5/270 + 29*c**4/6 - 1048*c**3/27 + 2394*c**2. Factor x(w).
2*(w - 2)*(w + 524)/9
Let z(b) = -3*b**3 - 21*b**2 - 2*b + 1. Let n be z(-7). Suppose -159 + 189 = n*w. Factor 1/4*j**w + 3/4*j**3 - 1/4*j**4 + 0 - 3/4*j.
-j*(j - 3)*(j - 1)*(j + 1)/4
Let q(p) = -p - 7*p**2 + p**2 + 2*p + 1 + 19*p**2. Let o(i) = i**3 + i**2 + i + 1. Let h(r) = 3*o(r) - 3*q(r). Factor h(j).
3*j**2*(j - 12)
Let a(j) = 3*j**2 - 8 + 11 + 3*j - j**2. Let t be a(-1). Factor 6*n**2 - 7*n**t - n**2 + 8 - 6*n.
-2*(n - 1)*(n + 4)
Let j be (2/(-10))/((-528)/30 + 17) + 814/726. Factor 64/11 + 1/11*a**2 + j*a.
(a + 8)**2/11
Let c(o) be the second derivative of 3 + 12*o**2 + 1/3*o**4 + 10/3*o**3 - 15*o. Suppose c(t) = 0. Calculate t.
-3, -2
Let t(j) be the second derivative of j**5/110 - 247*j**4/66 - 248*j**3/33 - 9417*j. Find o such that t(o) = 0.
-1, 0, 248
Factor 89*b + 261 - 2*b**2 + 509 + 110 - 3*b - 18*b.
-2*(b - 44)*(b + 10)
Let d(q) be the first derivative of -q**6/30 - 2*q**5/5 - 3*q**4/5 + 8*q**3/3 + 32*q**2/5 + 1072. Let d(t) = 0. Calculate t.
-8, -2, 0, 2
Let t(c) = -2*c**3 - 6*c**2 - 11*c - 23. Let y be t(-3). Let z be 24/y + -3 - (-442)/170. Let -2/11 + 2/11*g**z + 0*g = 0. What is g?
-1, 1
Let d(o) be the third derivative of -1/30*o**6 + 0*o + 13/6*o**4 + 0 + 20/3*o**3 + 2/15*o**5 + 229*o**2. Let d(h) = 0. Calculate h.
-2, -1, 5
Let a(s) be the third derivative of -s**8/24 - 137*s**7/35 + 1399*s**6/60 - 1661*s**5/30 + 67*s**4 - 124*s**3/3 + 792*s**2. Suppose a(h) = 0. What is h?
-62, 2/7, 1
Let z(k) be the third derivative of 3 + 1/448*k**8 + k**2 + 0*k + 0*k**3 + 0*k**4 + 7/40*k**5 - 19/160*k**6 + 1/70*k**7. Find q, given that z(q) = 0.
-7, 0, 1, 2
Let a = 181024/15 + -36203/3. Suppose 18/5*z**2 + 12/5*z - 3/5*z**3 - a*z**4 - 24/5 = 0. Calculate z.
-2, 1, 2
Let u = -22055 + 22055. Let s(v) be the second derivative of 1/4*v**3 + u*v**2 + 0 - 1/16*v**4 - 15*v. Let s(b) = 0. Calculate b.
0, 2
Let x(l) be the first derivative of -3*l**3 - 3773*l**2/2 - 838*l - 1882. Factor x(m).
-(m + 419)*(9*m + 2)
Suppose -9 + 27 = -6*f. Let g(z) = -6*z - 16. Let n be g(f). Factor 2 + 12*w - 2 + 12*w**n - 15*w**2.
-3*w*(w - 4)
Let u be (-1634)/430 + (-770)/(-100) - 36/(-10). Suppose -5*f - 2*n + 20 = 0, -1 = f - n + 2. Factor 3/4*y**f + u - 33/4*y.
3*(y - 10)*(y - 1)/4
Let y(b) = 54*b - 35. Let r be y(-4). Let a = 255 + r. Factor 0 + 0*h + 0*h**2 + 2/9*h**3 + 2/3*h**a.
2*h**3*(3*h + 1)/9
Let k = -58200 - -58204. Determine x, given that x**2 - 1/3*x**k - 2/3 + 1/3*x - 1/3*x**3 = 0.
-2, -1, 1
Let o(f) be the second derivative of f**7/10080 - f**6/96 + 15*f**5/32 - 43*f**4/6 - 6*f - 2. Let j(s) be the third derivative of o(s). Solve j(y) = 0.
15
Suppose -l - 5*p + 7 = 3, 0 = l - 3*p - 12. Suppose 2*m - l = -m. Let 2*q + q - 2*q**2 - m*q - 2*q = 0. Calculate q.
-1, 0
Let h(v) be the first derivative of -16*v**5/5 + 38*v**4 - 99*v**3 + 121*v**2/2 - 14*v + 1837. Let h(j) = 0. Calculate j.
1/4, 2, 7
Suppose -143*k - 582 = -120*k - 217*k. Factor 11/3*b + 1 - b**k + 5/3*b**2.
-(b - 3)*(b + 1)*(3*b + 1)/3
Let a(m) be the second derivative of m**4/66 - 346*m**3/33 + 345*m**2/11 - 7*m - 55. Factor a(c).
2*(c - 345)*(c - 1)/11
Let z(i) be the third derivative of -i**7/4410 - 23*i**6/1260 - 67*i**4/24 - 69*i**2. Let g(s) be the second derivative of z(s). Factor g(h).
-4*h*(h + 23)/7
Suppose -8*z + 23 + 73 = 0. Suppose -z + 44 = 8*a. What is r in 6*r**4 - 2*r**4 - 8*r**a + 4*r**3 = 0?
0, 1
Factor -2/5*m**3 - 2000 - 204/5*m**2 - 1080*m.
-2*(m + 2)*(m + 50)**2/5
Find m such that -391876/13 + 193434/13*m + 2/13*m**3 + 96*m**2 = 0.
-313, 2
Let b be 6/(-14) + -2 + 134766/14. Let g = b - 9606. Let 20*q**3 + 16/7 - 32/7*q - g*q**2 = 0. Calculate q.
-2/5, 2/7, 1
Let w(i) be the first derivative of i**5/60 + 3*i**4/4 + 17*i**3/6 + 25*i**2/2 - i + 2. Let g(t) be the second derivative of w(t). Factor g(x).
(x + 1)*(x + 17)
Let r(p) = -3*p**3 - 40*p**2 + 129*p. Let o(f) = f**3. Let g(l) = 6*o(l) + 3*r(l). Suppose g(a) = 0. Calculate a.
-43, 0, 3
Let q(z) be the second derivative of -1/357*z**7 + 0*z**2 + 2/255*z**6 + 9*z + 2/85*z**5 - 1/17*z**3 + 0 - 1/51*z**4. Let q(n) = 0. What is n?
-1, 0, 1, 3
Let f = -6414 + 6416. Factor -f*m**3 + 0 - 8/3*m**2 - 8/9*m.
-2*m*(3*m + 2)**2/9
Let y = -511 - -625. Let i be y/18 - (2 - -3). Factor z**4 + 0 - 1/3*z**2 - i*z**3 + 2/3*z.
z*(z - 1)**2*(3*z + 2)/3
Let q be 64*(728/(-28))/(-130). Factor -q*v**2 + 0 + 144/5*v**3 - 256/5*v + 4/5*v**5 - 44/5*v**4.
4*v*(v - 4)**3*(v + 1)/5
Find s such that -1365*s**2 + 2240 + 129*s**2 + 6*s**3 - 1124*s - 1565*s**2 - 557*s**2 = 0.
-1, 2/3, 560
Suppose -196*l = 2072 - 2856. Let -5/2*p**l + 15/2 + 20*p + 0*p**3 + 15*p**2 = 0. What is p?
-1, 3
Let b(f) = -55*f**2 + 35*f - 30. Suppose -2*c - 2*s + 79 = 21, 5 = c - 5*s. Let m(l) = -2*l**2. Let g(k) = c*m(k) - b(k). Factor g(t).
5*(t - 6)*(t - 1)
Let m(c) be the first derivative of 70 + 1/45*c**5 - 1/54*c**6 + 0*c + 1/36*c**4 - 1/27*c**3 + 0*c**2. Let m(d) = 0. Calculate d.
-1, 0, 1
Let q(y) be the third derivative of y**7/840 + y**6/12 - 41*y**5/240 - 12*y**2 - 64. Determine s so that q(s) = 0.
-41, 0, 1
Let m = -359 - -364. Let w(i) be the first derivative of 0*i**2 + m - 4/3*i**3 + 16*i. Find l such that w(l) = 0.
-2, 2
Let o(a) = -a**2 + 5*a + 26. Let v be o(8). Find m, given that -4 + 385*m - 21*m**2 + 3*m**v - 407*m = 0.
-1, -2/9
Factor 83 + 86/3*o + 1/3*o**2.
(o + 3)*(o + 83)/3
Let v(q) be the second derivative of -2*q**6/3 + 14*q**5/5 + 16*q**4 + 68*q**3/3 + 10*q**2 + 6*q - 43. Let v(b) = 0. Calculate b.
-1, -1/5, 5
Let l(k) be the second derivative of -1/2*k**3 - 1/10*k**5 + 0*k**2 - 2*k**4 - 15*k + 0 - 1/480*k**6. Let v(w) be the second derivative of l(w). Factor v(s).
-3*(s + 8)**2/4
Let u(h) = h**3 + 146*h**2 + 4180*h + 751. Let n be u(-107). Solve -4/5*l**4 + 4/5*l**n - 24/5*l**3 + 24/5*l + 0 = 0 for l.
-6, -1, 0, 1
Let u(a) be the first derivative of -a**3/4 - 411*a**2/4 - 2439*a/4 - 1322. What is o in u(o) = 0?
-271, -3
Suppose 0 = -7*t + 264 + 30. Let j be 0*(4 + (t/(-9) - -1)). What is g in -8 + 4*g**2 + 1 + 8*g + 11 + j*g**2 = 0?
-1
Let q = -2346 - -2349. Solve 20577/5 + 171/5*u**2 + 3249/5*u + 3/5*u**q = 0 for u.
-19
Let a be (4/39)/(46/1196). Factor 14/3*o**3 + a + 46/3*o**2 + 40/3*o.
2*(o + 1)*(o + 2)*(7*o + 2)/3
Let d(o) = 5*o**3 - 49*o**2 + 88*o + 114. Let u be d(4). Solve 2/7*b**4 + 10/7*b**u + 0 + 4/7*b + 8/7*b**3 = 0 for b.
-2, -1, 0
Let o be 216/42 - 6 - -6. Suppose 26*z - 106 + 28 = 0. What is j in o - 32/7*j**2 + 24/7*j**z - 4/7*j**4 - 24/7*j = 0?
-1, 1, 3
Factor 2/13*s**3 + 80/13*s**2 + 0 + 6*s.
2*s*(s + 1)*(s + 39)/13
Let n be 260/((-18)/24 + (-1)/4). Let z be ((-39)/n)/(15/(-12) + 2). Factor 1/5*j**2 + z*j**3 - 4/5 - 4/5*j.
(j - 2)*(j + 1)*(j + 2)/5
Suppose 3*g = -4*q + 2*g - 86, -40 = 2*q + 2*g. Let d be q/(-110) - (1 - 22/15). Find j such that 8/3 - 8/3*j**2 - d*j + 2/3*j**3 = 0.
-1, 1, 4
Let z be (-1751)/515 - 645/(-175). Factor 0*q**2 + 0 + 1/7*q**4 - z*q**3 + 1/7*q**5 + 0*q.
q**3*(q - 1)*(q + 2)/7
Let k(a) = -13*a**3 - 5*a**2 + 17*a - 9. Suppose -11*f + 1 - 23 = 0. Let i(t) = 31*t**3 + 11*t**2 - 35*t + 18. Let u(x) = f*i(x) - 5*k(x). Factor u(g).
3*(g - 1)**2*(g + 3)
Let q(o) be the first derivative of 4*o**3/3 - 34*o**2 + 64*o + 4559. Determi