t a**3 + 75 - 87 - 4*a**2 + 20*a - q*a**3 = 0.
-3, 1
Let p(u) be the third derivative of u**7/210 - 49*u**6/24 + 15367*u**5/60 - 14641*u**4/8 + 3894*u**2 + 2. Factor p(v).
v*(v - 121)**2*(v - 3)
Let d(t) be the first derivative of 11*t**4/36 + 31*t**3/18 - t**2 + 38*t - 4. Let i(v) be the first derivative of d(v). Factor i(h).
(h + 3)*(11*h - 2)/3
Let m(h) be the second derivative of 105/2*h**2 + 34*h**3 - h - 3/5*h**5 + 163 + 15/2*h**4 - 1/10*h**6. Suppose m(c) = 0. What is c?
-7, -1, 5
Let d(f) be the third derivative of 0*f + 0*f**3 + 0 - 49*f**2 + 2/15*f**5 + 13/360*f**6 - 1/18*f**4. Suppose d(z) = 0. What is z?
-2, 0, 2/13
Let i(f) = -f**3 + 5*f**2 + 9*f + 4. Let s be i(6). Let n be 14/(-77) + 16658/s. Find t, given that -756*t**2 - 2 + n*t**2 + 2 = 0.
0
Let p = -31 + 48. Let a = 21 - p. Solve -7*j**2 - 3*j**2 + 20*j**a - 9 - 20*j**3 + 0 - 5*j**5 - 1 + 25*j = 0 for j.
-1, 1, 2
Find r, given that 504*r + 3*r**2 - 2*r**2 + 144 - 24 - 538*r = 0.
4, 30
Let i(p) be the first derivative of 7*p**5/60 - 47*p**4/24 - 7*p**3/3 - 7*p**2 + 37. Let m(l) be the second derivative of i(l). Factor m(g).
(g - 7)*(7*g + 2)
Factor -21700*u**2 - 149*u + 10853*u**2 + 10848*u**2.
u*(u - 149)
Let 2199085*x - 2*x**3 - 28*x**2 + 4*x**5 - 5*x**5 - 2199061*x + 7*x**4 = 0. Calculate x.
-2, 0, 1, 2, 6
Suppose 3244*y - 3242*y - 14 = 4*v, 0 = -2*y + 2*v + 12. Determine z, given that -4/3*z**4 - 16/3 - 16/3*z + 20/3*z**2 + 20/3*z**3 - 4/3*z**y = 0.
-2, -1, 1, 2
Let r(g) be the first derivative of g**3/24 + 27*g**2/16 + 81*g/4 + 2505. Factor r(l).
(l + 9)*(l + 18)/8
Factor 4*k**2 + 24/7 - 2/7*k**3 - 50/7*k.
-2*(k - 12)*(k - 1)**2/7
Let a = -378 + 380. Let r be (a/6)/(106/795). Let 1 + r*d**3 - 3/2*d**4 - 5/2*d + 1/2*d**2 = 0. Calculate d.
-1, 2/3, 1
Factor 315*d - 4284*d**2 - 85*d - 3*d**3 - 230*d.
-3*d**2*(d + 1428)
Let h = 1386 - 12442/9. Suppose -29*o = -16*o - 26. Factor 2/9 + h*m + 128/9*m**o.
2*(8*m + 1)**2/9
Let h(l) = -l**3 - 6*l**2 - 7*l. Let v be h(-6). Let w = -38 + v. Let -20*k**3 + 0*k**2 + 8*k**w + 4*k**2 + 36*k**5 + 4*k**4 = 0. Calculate k.
-1, 0, 1/3
Let i = -42 - 0. Let r = 42 + i. Solve r*z + z**2 + 0 - z + 1 - z = 0 for z.
1
Let n(j) be the second derivative of j**4/4 + 337*j**3 + 340707*j**2/2 - 288*j. Factor n(v).
3*(v + 337)**2
Let g(o) = -6*o**2 + 93*o - 2406. Suppose 29*i = -43 - 102. Let l(b) = -5*b**2 + 94*b - 2405. Let f(y) = i*l(y) + 4*g(y). Determine j so that f(j) = 0.
49
Suppose 0 = c - 5*b + 18, -3799*c = -3800*c + 2*b - 6. Suppose 48/7 + 3/7*x**3 + 24/7*x**c + 60/7*x = 0. Calculate x.
-4, -2
Let n = -13824 + 13832. Let l(t) be the first derivative of -32 - n*t - 1/3*t**3 - 3*t**2. Factor l(v).
-(v + 2)*(v + 4)
Let t(w) = 791*w - 115444. Let z be t(146). Find u such that -57*u**2 + 75/2*u**3 + 3/2*u**5 + z*u - 12*u**4 - 12 = 0.
1, 2
Let 2/11*g**5 + 588/11*g + 586/11*g**2 - 590/11*g**3 - 586/11*g**4 + 0 = 0. Calculate g.
-1, 0, 1, 294
Let g(q) be the second derivative of -5*q**4/12 + 2785*q**3/3 - 5565*q**2/2 + 283*q. Determine h so that g(h) = 0.
1, 1113
Let m(b) = -b + 24. Let w be m(22). Let k(d) be the third derivative of -1/9*d**3 + 0*d**4 + 1/120*d**5 + 9*d**w + 0*d + 1/720*d**6 + 0. Solve k(g) = 0.
-2, 1
Let q = -648 - -650. Let u = 639 + -637. Factor 4/3*c - 2/3*c**u + q.
-2*(c - 3)*(c + 1)/3
Let w(m) be the third derivative of m**9/10584 + m**8/5880 + 125*m**3/6 + 3*m**2 + 60. Let o(y) be the first derivative of w(y). Find g such that o(g) = 0.
-1, 0
Let t(u) be the second derivative of -4*u**6/5 - 11*u**5/5 + 22*u**4/3 + 56*u**3/3 - 48*u**2 - 11*u + 55. Determine z so that t(z) = 0.
-2, 2/3, 3/2
Let o(y) = 2*y**3 - 46*y**2 + 69*y + 126. Let a(g) = -4*g**3 + 92*g**2 - 141*g - 252. Let c(p) = 3*a(p) + 5*o(p). Factor c(i).
-2*(i - 21)*(i - 3)*(i + 1)
Let -17*j**2 + 12*j - 5/2*j**4 - 63/2*j**3 + 0 = 0. Calculate j.
-12, -1, 0, 2/5
Let w(p) = 18*p - 207. Let f be w(12). Let j be ((-450)/48 + f)*-8. Factor 0*u**2 + 2/5*u**5 + 0*u + 0 + 2/5*u**4 + 0*u**j.
2*u**4*(u + 1)/5
Let y(n) be the third derivative of -10/3*n**3 + 0*n - 22/45*n**5 + 37/18*n**4 + 1 - 1/15*n**6 + 1/252*n**8 + 2/63*n**7 - 77*n**2. Factor y(q).
4*(q - 1)**3*(q + 3)*(q + 5)/3
Suppose -4*p + 28 + 0 = 0. Suppose 9*i - p*i - 38 = 0. Solve 8*q**2 + 2*q**3 - 2*q + 13*q**2 - i*q**2 - 2 = 0.
-1, 1
Let o be 7 + 1 - ((1158 - 1149) + -2 + -1). Find w, given that 22*w**3 - 14/3*w**4 - 6*w**o - 98/3*w**5 + 0*w + 0 = 0.
-1, 0, 3/7
Let j be ((-3)/2 - 485/10)/((-19765)/15812). Find c, given that -1/2*c**2 + 19*c + j = 0.
-2, 40
Factor 686/11 + 2/11*a**3 - 1370/11*a + 62*a**2.
2*(a - 1)**2*(a + 343)/11
Determine o, given that -205*o + 152*o**2 - 17 - 2*o**3 + 20*o**3 - 11*o**3 + 63 = 0.
-23, 2/7, 1
Let x = 364 + -362. Let -1386*h**2 - 3*h**3 - x*h**3 + 1391*h**2 = 0. Calculate h.
0, 1
Let j(i) = i**2 + 2*i. Let s(o) = o - 6*o**2 - 3*o + 4*o + 2*o + o**3 - 8*o. Let k(x) = -3*j(x) - s(x). Find h such that k(h) = 0.
0, 1, 2
Let s(f) = f**2 - 24*f - 811. Let k be s(-19). Let w(r) be the first derivative of -1/15*r**5 + k - 3*r - 4*r**2 - 22/9*r**3 - 2/3*r**4. Factor w(a).
-(a + 1)**2*(a + 3)**2/3
Let q(s) be the first derivative of 12*s**2 + 144*s + 1/3*s**3 - 42. Factor q(a).
(a + 12)**2
Let m(w) be the third derivative of -w**6/60 - 7*w**5/15 + 35*w**4/12 + 16*w**3 - 2*w**2 + 72*w + 5. Factor m(j).
-2*(j - 3)*(j + 1)*(j + 16)
Let q(m) be the first derivative of 225*m**4/16 + 865*m**3/4 + 167*m**2 + 44*m + 4774. Factor q(d).
(d + 11)*(15*d + 4)**2/4
Let v(k) be the third derivative of -k**7/70 + 51*k**6/40 + 27*k**5 + k**2 - k + 2061. Solve v(z) = 0.
-9, 0, 60
Let o(f) = 8*f**2 - 1218*f + 1223. Let z(h) = 4*h**2 - 608*h + 610. Let v(j) = 6*o(j) - 13*z(j). Factor v(p).
-4*(p - 148)*(p - 1)
Let p = 72 + -69. Suppose 0 = p*z - 18 + 6. Factor 5*i**5 + 70*i**3 - 20*i**4 + 22*i**2 + 45*i - 102*i**2 + 102 - 112 - 10*i**z.
5*(i - 2)*(i - 1)**4
Let c be 5 - ((-11)/(-3) + 20/(-30)). Find j such that 35*j**4 - 17*j**4 - 13*j**4 - 5*j**c = 0.
-1, 0, 1
Suppose 6*a + 393 = 447. Suppose -14*m + a*m - n = 1, 4*m - 4*n - 4 = 0. Factor 1/4*s**5 + 0*s + s**4 + m + 1/2*s**2 + 5/4*s**3.
s**2*(s + 1)**2*(s + 2)/4
Let v(j) be the first derivative of 2*j**3/3 + 14*j**2 - 30*j + 30. Let v(d) = 0. Calculate d.
-15, 1
Factor -46 + 2/3*o**3 + 91/3*o**2 - 49/3*o.
(o + 1)*(o + 46)*(2*o - 3)/3
Let o(v) be the first derivative of -1/10*v**5 + 9 + 1/8*v**4 + 5*v**3 + 0*v + 1/30*v**6 + 0*v**2. Let l(j) be the third derivative of o(j). Factor l(b).
3*(2*b - 1)**2
Let x = 1964 - 1963. Let c be -2*71383/(-78) - x. Factor -c - 28*w**2 - 2/3*w**3 - 392*w.
-2*(w + 14)**3/3
Let q(f) be the third derivative of -f**5/180 + 5*f**4/18 - 19*f**3/18 - 628*f**2. Solve q(m) = 0 for m.
1, 19
Let n(l) = l**2 - 17*l - 35. Let w be n(19). Suppose 5*s - 177 = -4*h, 36 = h - w*s - 21. Solve -7*q + 324 + 4*q + h*q + 4*q**2 + 27*q = 0.
-9
Suppose 5*m - 7 - 2 = 3*l, 5*l = -3*m - 15. Let z = 80089 - 80089. Factor -8/9*k**4 + z*k - 2/9*k**5 + 0*k**2 + m - 8/9*k**3.
-2*k**3*(k + 2)**2/9
Let s(f) be the second derivative of 5 - 841/42*f**4 + 116/21*f**3 + f - 4/7*f**2. Suppose s(u) = 0. What is u?
2/29
Solve 557 + 33*n - 103 - 189 - 97 + 133*n - 2*n**2 = 0.
-1, 84
Let x(t) be the second derivative of -t**4/16 + 23*t**3/8 + 6*t - 62. Solve x(l) = 0 for l.
0, 23
Suppose -495 = -13*t + 207. Suppose t*y**2 + 15*y**3 + 50 + 46*y**2 + 0*y**3 + 135*y = 0. What is y?
-5, -1, -2/3
Let i(u) = 9*u - 7. Let p be i(1). Factor -14*w**2 - 63*w + 79 - 94 + 2*w**p.
-3*(w + 5)*(4*w + 1)
Let q(n) = 11*n + 355. Let y be q(-31). Let x be ((-21)/((-147)/y))/(2/2). Factor 32*b + 38/5*b**x + 2/5*b**3 - 40.
2*(b - 1)*(b + 10)**2/5
Suppose 5*j - 5 = 6*x - 11*x, -5*x = j - 1. Let v(p) be the second derivative of -1/40*p**6 + 0*p**4 + 9/80*p**5 + x*p**2 + 0 - 21*p - 1/2*p**3. Factor v(f).
-3*f*(f - 2)**2*(f + 1)/4
Let p(q) = 41*q + 211. Let v be p(-5). Let y(h) = -h**3 + 10*h**2 + 13*h - 10. Let d(s) = -2*s**2 - s + 1. Let j(t) = v*d(t) + y(t). Factor j(k).
-(k - 1)**2*(k + 4)
Let m = 135 + -135. Suppose -12 = -6*z - m*z. Factor 1/2*t**z + 0*t - 2.
(t - 2)*(t + 2)/2
Let p(t) be the first derivative of 0*t**3 + 1/39*t**6 + 6 + 14/65*t**5 + 0*t**2 - 9/13*t**4 + 0*t. Solve p(r) = 0 for r.
-9, 0, 2
Let d(i) be the first derivative of i**7/840 - i**5/240 + 97*i**2 + 13. Let z(n