 - 1995. Solve z(w) = 0.
-1, 4, 76
Let d(g) be the second derivative of -10*g**7/21 + 32*g**6/5 - 31*g**5 + 68*g**4 - 184*g**3/3 - g - 42. Solve d(p) = 0.
0, 1, 2, 23/5
Let s be 80/120 - 2734/(-3). Let y be s/532 + 6/(-7). Factor -4/7*x - y + 2/7*x**2.
2*(x - 3)*(x + 1)/7
Let w(i) = -37597*i**2 + 3 + i - 2 + 37596*i**2. Let s(y) = -y**2 + 3*y + 2. Suppose -u - 4*u + 5 = 0. Let v(b) = u*s(b) - 2*w(b). Suppose v(n) = 0. What is n?
-1, 0
Let b(l) be the first derivative of -l**4/6 - 4*l**3 - 36*l**2 + 190*l + 102. Let t(w) be the first derivative of b(w). Determine n so that t(n) = 0.
-6
Let z(r) be the second derivative of -r**2 + 4*r + 1/2*r**3 - 1/12*r**4 + 0. Solve z(h) = 0.
1, 2
Let d(p) be the second derivative of -p**6/10 - 897*p**5/10 - 29850*p**4 - 3999701*p**3 - 23641797*p**2/2 + 948*p - 2. Solve d(f) = 0 for f.
-199, -1
Let j(r) be the third derivative of -r**8/112 - 79*r**7/70 - 45*r**6/4 - 443*r**5/10 - 733*r**4/8 - 219*r**3/2 + 25*r**2 - 82*r. Factor j(q).
-3*(q + 1)**3*(q + 3)*(q + 73)
Determine g, given that 22/5*g**4 - 28/5*g**2 - 2/5*g + 14/5*g**5 - 12/5*g**3 + 6/5 = 0.
-1, 3/7, 1
Let n(p) be the third derivative of -p**8/504 - p**7/15 - 137*p**6/180 - 31*p**5/10 - 9*p**4/2 + 440*p**2. Find c, given that n(c) = 0.
-9, -2, -1, 0
Let f = 3333926/5 - 666784. Factor -s**2 - 1/5*s**4 + f*s**3 + 0 + 0*s.
-s**2*(s - 5)*(s - 1)/5
Factor -3/2*i**4 - 63/2*i**3 + 0 - 825/2*i - 405/2*i**2.
-3*i*(i + 5)**2*(i + 11)/2
Let n(c) be the second derivative of -c**4/54 - 1036*c**3/27 - 268324*c**2/9 + 1826*c. Let n(d) = 0. What is d?
-518
Let i be (-517)/77 + -3 + (-70)/(-7). What is z in i*z**2 - 12/7 - 2/7*z = 0?
-2, 3
Let q(k) be the second derivative of k**5/20 - 5*k**4/4 - 35*k**3/6 + 17*k**2/2 + 140*k. Let f be q(17). Factor 0 - 4/3*l**2 - 2/3*l**3 + f*l.
-2*l**2*(l + 2)/3
Let m(d) be the third derivative of d**8/252 - 4*d**7/35 + 4*d**6/9 + 208*d**5/15 - 1240*d**4/9 + 1600*d**3/3 + 892*d**2. Determine t, given that m(t) = 0.
-6, 2, 10
Let w be (-35)/392*-62 + 0 - (-11 + 16). Let c(a) be the first derivative of 0*a + w*a**4 + 1/14*a**2 + 12 + 9/35*a**5 + 1/3*a**3. Factor c(v).
v*(v + 1)*(3*v + 1)**2/7
Suppose 1094 = 28*u + 86. Factor -58*j**5 - j**2 - 18*j**4 - 23*j**2 + 55*j**5 - u*j**3.
-3*j**2*(j + 2)**3
Let n be 16 - 25/(-800)*-464. Determine z so that -7/2*z**3 + 3*z**2 - 4 - n*z**4 + 6*z = 0.
-2, 2/3, 1
Suppose y + 4*b = 24, -5*y + 4132 = -2*b + 4144. Factor 20/3*l**2 + 5/3*l + y.
5*l*(4*l + 1)/3
Let p(t) be the second derivative of -t**4/36 - 69*t**3/2 - 619*t**2/3 + 1836*t. Factor p(s).
-(s + 2)*(s + 619)/3
Let l(f) = f**2 - 6*f + 2. Let n be l(6). Suppose n*y**3 - 156*y**2 - 12 + 20*y - 6*y**3 + 152*y**2 = 0. Calculate y.
-3, 1
Let s(h) be the first derivative of -126*h**3 - 143*h**2/2 - 10*h - 246. Suppose s(v) = 0. Calculate v.
-2/7, -5/54
Suppose 4*j + 9 = -z - 0, j + 15 = 4*z. Factor 25*b**z + 36*b + 2*b**2 + 31*b**3 + 30*b**2 - 60*b**3.
-4*b*(b - 9)*(b + 1)
Let a(b) be the first derivative of -5*b**4 + 315*b**3 - 235*b**2/2 + 1516. Let a(n) = 0. What is n?
0, 1/4, 47
Let i(s) be the second derivative of -s**7/210 + 7*s**6/120 - s**5/4 + 3*s**4/8 - 45*s**2/2 + 140*s - 2. Let h(b) be the first derivative of i(b). Factor h(p).
-p*(p - 3)**2*(p - 1)
Let g = -101 - -104. Suppose 8 - 4*s**4 - 52*s + 13*s**2 + 16 + 5*s**2 + 10*s**2 + 4*s**g = 0. What is s?
-3, 1, 2
Let n = -4/289971 - -579970/2029797. Suppose -n*f**2 + 0 + 2/7*f - 2/7*f**3 + 2/7*f**4 = 0. Calculate f.
-1, 0, 1
Let u(k) be the second derivative of -2*k**5/5 - 107*k**4/6 + 139*k**3/3 - 28*k**2 + 406*k. Factor u(o).
-2*(o - 1)*(o + 28)*(4*o - 1)
Suppose 2*n + 4*k - 123 = -k, -3*n - 4*k + 174 = 0. Let w be (1/(-2))/(3/n*-3). Determine r so that 1/4*r**w - r + 0 + 0*r**2 = 0.
-2, 0, 2
Let 405*d**2 - 3212*d + 1608 + 933*d**2 + 4*d**3 + 262*d**2 = 0. Calculate d.
-402, 1
Let m(k) = -12*k**2 - 622*k - 8007. Let p be m(-24). Factor -9/2*i**3 - 15/4*i**2 - 3/4*i**4 + 0 + p*i.
-3*i*(i - 1)*(i + 3)*(i + 4)/4
Let d(t) be the third derivative of -t**5/240 + 391*t**4/96 - 65*t**3/4 - 6*t**2 + 24*t. Factor d(n).
-(n - 390)*(n - 1)/4
Factor 1282*t**2 + 253472/5 - 1142048/5*t - 9/5*t**3.
-(t - 356)**2*(9*t - 2)/5
Find v, given that 6/7*v**4 + 2222/7*v**2 - 252 + 242/7*v**3 - 654*v = 0.
-21, -1/3, 2
Let n = -86 + 82. Let d be (-2)/n*((-3)/(-1) + 1). Factor 153*i - 4 + 2*i**3 + d*i**2 + i**2 - 157*i - i**4.
-(i - 2)**2*(i + 1)**2
Let r(p) be the third derivative of 1/180*p**5 - 140*p**2 + 1/6*p**4 - 13/18*p**3 + 0*p + 0. Determine q, given that r(q) = 0.
-13, 1
Let b(a) = -a**3 + 6*a**2 - 13*a. Let t(d) = 2*d**3 - 12*d**2 + 27*d. Let h = 7 + -35. Let u = h - -37. Let c(k) = u*b(k) + 4*t(k). Factor c(v).
-v*(v - 3)**2
Let o(c) be the first derivative of -3*c**4/4 + 2*c**3 + 105*c**2/2 + 815. Factor o(k).
-3*k*(k - 7)*(k + 5)
Suppose -29*u + 2*u + 54 = 0. Find j, given that -19*j**2 - 24*j**2 - 64*j**u - 38*j**2 + 3*j**3 + 82*j**2 = 0.
0, 21
Let x(z) be the second derivative of -1/3*z**3 + 1/189*z**7 - 18 + 2*z - 2*z**2 + 13/27*z**4 + 4/45*z**5 - 8/135*z**6. What is a in x(a) = 0?
-1, 1, 3, 6
Let a(q) = 2*q**2 - 21*q - 3. Let w be a(9). Let c = w + 32. What is u in -42*u + 4*u**3 + 67*u + 64 + 36*u**c + u + 70*u = 0?
-4, -1
Let l(f) be the third derivative of f**8/84 + 4*f**7/35 - f**6/2 - 152*f**5/15 - 40*f**4 + 9336*f**2. Solve l(t) = 0.
-4, -3, 0, 5
Suppose -9*t + 408 = -168. Let a be (2/(-24))/((-8)/t)*6. Suppose 3/2*g**3 + 0*g - 9/4*g**2 + 3/4*g**a + 0 = 0. Calculate g.
-3, 0, 1
Let o be (-369)/(-246)*(-4)/(-4). Factor 0 + o*d**2 - 15/2*d.
3*d*(d - 5)/2
Let m be (-8)/15*(-120)/96*1. Let z be 2*-1*2/(-6). Factor m*c**3 - 2*c**2 + 4/3 + z*c**4 - 2/3*c.
2*(c - 1)**2*(c + 1)*(c + 2)/3
Let c be 1 + 35/(-45) - 302/(-18). Let -34*k**2 + 22*k**2 + c*k**2 + 50*k + 81 + 22 - 23 = 0. Calculate k.
-8, -2
Let l(q) = q**2 - 28*q + 171. Let d(t) = 3*t**2 - 57*t + 336. Let j(m) = 4*d(m) - 9*l(m). Factor j(z).
3*(z - 5)*(z + 13)
Let c = -118 - -124. Let x(s) be the first derivative of -c*s + 1/2*s**3 + 0*s**2 - 10. Let x(q) = 0. Calculate q.
-2, 2
Suppose 0 = -w + 3. Factor -168*y + 74*y**2 + 36 + 92*y**w - 213*y**3 + 179*y**2.
-(y - 1)*(11*y - 6)**2
Let n be ((-3)/(-4) - 0)/(-21*125/(-7000)). Find z, given that -4/11 + 2/11*z**n + 2/11*z = 0.
-2, 1
Let t be (-9)/7 + 2/7. Let k be (t - 94/(-6))*(-45)/(-30). Suppose 2*l - 28*l**2 + 4*l + 2*l**3 + k*l**2 - 2 = 0. Calculate l.
1
Suppose -23 = 24*a - 23*a. Let q be 2/(-14)*(-41 - a). Determine x, given that q - 12/7*x + 2/7*x**2 = 0.
3
Suppose -4*d - 450 = t, -3*t + 0*d = -5*d + 1350. Let x be (-45)/t - 2/(-4). Factor x*o**2 + 9/5*o - 12/5.
3*(o - 1)*(o + 4)/5
Let n = -1968 - -1970. Suppose -4*m = -10*d + 5*d + 26, -n = 3*d + 2*m. Find p, given that 6/11 + 4/11*p - 8/11*p**d - 4/11*p**3 + 2/11*p**4 = 0.
-1, 1, 3
Let r(j) be the third derivative of 5/28*j**7 - 23/24*j**6 + 10*j**4 + 102*j**2 + 0*j + 0 - 1/96*j**8 + 1/3*j**5 + 32/3*j**3. Find m such that r(m) = 0.
-1, -2/7, 4
Determine r, given that 32*r - 9 + 0*r**4 - 55 - 4*r**3 - 33*r**4 + 12*r**2 + 32*r**4 = 0.
-4, 2
Let t(h) be the third derivative of h**5/300 - h**4/8 - 92*h**3/15 + 2259*h**2. Determine p, given that t(p) = 0.
-8, 23
Let q(u) = -2*u**3 - 133*u**2 + 918*u - 2261. Let h be q(-73). Find d, given that -16/3*d + 5 + 1/3*d**h = 0.
1, 15
Let h(z) be the first derivative of -z**5/140 - z**4/7 - z**3/2 - 59*z**2 + 118. Let i(g) be the second derivative of h(g). Factor i(w).
-3*(w + 1)*(w + 7)/7
Suppose 156 = 57285*r - 57207*r. What is m in 2/5*m**r + 64/5*m + 0 = 0?
-32, 0
Find v, given that -2/17*v**3 + 470/17*v + 148/17*v**2 - 616/17 = 0.
-4, 1, 77
Let i be 156/238 - ((-15)/28 + (-249)/(-996)). Suppose -2/17*u**2 - i*u - 14/17 = 0. Calculate u.
-7, -1
Let r(w) = -7*w**3 + 27*w**2 + 241*w + 731. Let u(i) = 32*i**3 - 108*i**2 - 963*i - 2925. Let p(b) = 18*r(b) + 4*u(b). Factor p(h).
2*(h + 9)**3
Let c(q) be the second derivative of q**4/6 - 658*q**3/15 - 264*q**2/5 + 401*q + 4. Factor c(d).
2*(d - 132)*(5*d + 2)/5
Let j(q) = -q**3 - 24*q**2 - 139*q - 3333. Let r be j(-24). Factor 117649/2 - 7203/2*o + 147/2*o**2 - 1/2*o**r.
-(o - 49)**3/2
Factor -93*j**2 - 13*j + 372 + 96*j**2 - 92*j.
3*(j - 31)*(j - 4)
Let k be 5 + (63/35 - (-3)/15). What is g in 50*g + k*g**4 + 13*g**4 - 20*g**2 + 64*g**