 0
Let r be (-23)/(1035/(-210))*18/21. Let x(w) be the first derivative of 1/6*w**2 + 0*w - 2/9*w**3 + 1/12*w**r + 15. Suppose x(i) = 0. What is i?
0, 1
Suppose -8*m = -75 + 59. Let b be (-5)/(-6) - ((-1)/m)/1. Let -4/3*o + b + 1/3*o**2 = 0. What is o?
2
Suppose 3*z - 109 = o, -2*o + 10 = 3*o. Let n = z + -33. Suppose i**n - 3*i + 8 - 14*i**2 + 0*i**3 + i**3 - i + 8*i**2 = 0. Calculate i.
-2, 1, 2
Suppose -x + 85 = 3*j, 0*x - 4*x + j + 340 = 0. Let c = x + -83. Factor 67*z**c - 4*z - 137*z**2 - 3*z**3 + z**5 + 2*z**4 + 62*z**2.
z*(z - 2)*(z + 1)**2*(z + 2)
Suppose -7776*g - 4/3*g**4 - 72*g**3 + 0 - 1296*g**2 = 0. Calculate g.
-18, 0
Let p be 30*(-30)/375*40/(-6). Let s(g) be the second derivative of 5/84*g**7 + 0*g**2 + 0*g**3 + 0*g**6 - 5/12*g**4 - p*g - 3/8*g**5 + 0. Factor s(v).
5*v**2*(v - 2)*(v + 1)**2/2
Let h(o) be the third derivative of 11/540*o**6 + 3*o**2 + 0*o**3 + 2/45*o**5 + 0*o + 0*o**4 + 2 - 1/945*o**7. Factor h(r).
-2*r**2*(r - 12)*(r + 1)/9
Let h(b) be the second derivative of 5/9*b**3 - 2/3*b**2 + 1/30*b**5 - b + 0 - 2/9*b**4. Find d, given that h(d) = 0.
1, 2
Let k(q) be the third derivative of 5*q**8/56 - 253*q**7/140 + 69*q**6/40 + 229*q**5/40 - 79*q**4/8 + 6*q**3 - 347*q**2 - 2*q. Let k(i) = 0. Calculate i.
-1, 1/4, 2/5, 1, 12
Suppose -44*a = -60622 + 4698. Let w = -1271 + a. Factor -1/4*k**4 + 0*k + w - 1/8*k**5 + 0*k**3 + 0*k**2.
-k**4*(k + 2)/8
Find l such that 3054*l**3 + 3051*l**2 - 1517*l**4 + 770*l**4 + 750*l**4 = 0.
-1017, -1, 0
Let k(l) = 100*l**2 + 5*l + 10. Let r(t) = 99*t**2 + 5*t + 8. Let m(y) = -y**2 - 1. Let w be m(2). Let d(z) = w*r(z) + 4*k(z). Find g, given that d(g) = 0.
-1/19, 0
Let d(j) = 50*j + 4755. Let u be d(-95). Let w(r) be the third derivative of 0*r**3 + 1/40*r**6 + 0*r**u + 0*r**4 + 0 + 0*r - 1/70*r**7 + 31*r**2. Factor w(p).
-3*p**3*(p - 1)
Factor 765*j**2 + 58646953 - 58646953 - 33*j**3 - 138*j.
-3*j*(j - 23)*(11*j - 2)
Let p(l) be the third derivative of l**7/1050 + 13*l**6/150 - 221*l**5/300 + 7*l**4/5 + 5*l**2 - 9*l + 20. Factor p(i).
i*(i - 3)*(i - 1)*(i + 56)/5
Suppose 4*y - 18 - 74 = 0. Solve -13 + 264*o - y - 409*o**2 - 99*o**2 + 24*o**2 = 0.
3/11
Find r such that -164/3 + 2/3*r**2 + 54*r = 0.
-82, 1
Let r(c) be the first derivative of -c**4/2 - 26*c**3 + 424*c**2 - 768*c + 1525. Factor r(d).
-2*(d - 8)*(d - 1)*(d + 48)
Suppose -4*p**3 + 0*p**3 + 730*p + 5292 - 156*p**2 - 687*p - 1303*p = 0. Calculate p.
-21, 3
Let x(m) be the first derivative of -5*m**6/6 + 142*m**5 - 4145*m**4/4 + 8900*m**3/3 - 4090*m**2 + 2720*m - 7913. Solve x(y) = 0 for y.
1, 2, 136
Let s(v) be the second derivative of 0 - 8*v**2 + 0*v**3 - 3/8*v**4 - 1/20*v**5 + 13*v. Let d(t) be the first derivative of s(t). Factor d(k).
-3*k*(k + 3)
Let z(t) be the third derivative of -t**7/735 - t**6/105 + t**5/10 + 25*t**4/21 + 100*t**3/21 + 332*t**2. Let z(r) = 0. Calculate r.
-5, -2, 5
Suppose -8*m - 688 - 1120 = 0. Let q = m - -228. Find b, given that -2/11*b**3 + 0*b + 0 + 0*b**q = 0.
0
Let o(n) be the first derivative of 5*n**6/18 - 52*n**5 + 8345*n**4/3 - 76960*n**3/3 + 219040*n**2/3 + 6582. Find c, given that o(c) = 0.
0, 4, 74
Let q(r) be the second derivative of -r**7/15 + r**6/5 + 2*r**5/15 - 145*r**2/2 + 3*r + 82. Let i(h) be the first derivative of q(h). What is t in i(t) = 0?
-2/7, 0, 2
Let d be ((-15)/(-15))/(18/(-10))*12/(-10). Let a(s) be the second derivative of 1/6*s**4 + s - d*s**3 + 0*s**2 - 1/15*s**6 + 0 + 1/5*s**5. Factor a(o).
-2*o*(o - 2)*(o - 1)*(o + 1)
Suppose 0 = 8*t - 19*t - 11. Let u(o) = o**4 + 8*o**3 + 18*o**2 + o - 5. Let j(p) = p**2 - p - 1. Let v(c) = t*u(c) + 5*j(c). Let v(i) = 0. What is i?
-6, -1, 0
Let j = -1814207/6 + 302369. Factor j + 1/6*l**2 - 4/3*l.
(l - 7)*(l - 1)/6
Suppose -5/3*r - 25/2 + 1/6*r**2 = 0. Calculate r.
-5, 15
Let d(s) be the second derivative of -8/5*s**3 - 7 + 3*s + 2/5*s**4 + 16/5*s**2 - 1/25*s**5. Factor d(c).
-4*(c - 2)**3/5
Let n(f) be the second derivative of f**5/70 + 95*f**4/42 - 14*f**3/3 - 192*f**2/7 - 7098*f. Factor n(y).
2*(y - 2)*(y + 1)*(y + 96)/7
Suppose 493/4*y**2 + y**3 - 125/2 - 877/4*y = 0. Calculate y.
-125, -1/4, 2
Let g(t) be the second derivative of t**5 + 6155*t**4/12 + 5350*t**3/3 - 1530*t**2 + 4461*t. Factor g(h).
5*(h + 2)*(h + 306)*(4*h - 1)
Let n(v) = -221*v + 2656. Let x be n(12). Let q(o) be the first derivative of x*o**2 + 4 + 4*o + 4/3*o**3. Solve q(g) = 0.
-1
Let d(q) = 21*q**2 + 11*q + 5. Let t(k) = 36 + 15*k + 381*k**2 - 235*k**2 + 61*k. Let u(a) = -44*d(a) + 6*t(a). Let u(y) = 0. What is y?
-1/3, -1/4
Let y = -2059 - -2059. Let s(h) be the third derivative of 0 + 1/4*h**3 - 7*h**2 + y*h + 1/40*h**5 + 5/32*h**4. Determine r so that s(r) = 0.
-2, -1/2
Let g(s) be the first derivative of -4*s**5/5 + 8*s**4 - 28*s**3 + 36*s**2 - 7070. Determine h, given that g(h) = 0.
0, 2, 3
Let u(q) be the second derivative of -q**6/20 + 67*q**5/40 - 85*q**4/24 + 7*q**3/4 + 6605*q. Let u(j) = 0. Calculate j.
0, 1/3, 1, 21
Let m be 798/9*(-45)/(-30). Let k be 2 - (-413)/m - 5. Let 32/19*r + 16/19*r**2 + 0 + k*r**3 = 0. Calculate r.
-4, 0
Suppose -7/5*x**5 + 0 + 0*x + 0*x**2 - 9/5*x**4 - 2/5*x**3 = 0. What is x?
-1, -2/7, 0
Let p be -1 + (-9)/(-7) - 100256/(-74228). Determine b, given that 24/11*b + 8/11 + p*b**2 + 4/11*b**3 = 0.
-2, -1/2
Let s(t) = 3*t**3 - 77*t**2 + 138*t + 4. Let d(n) = -6*n**3 + 153*n**2 - 273*n - 9. Let u(w) = -4*d(w) - 9*s(w). Let u(x) = 0. What is x?
0, 2, 25
Let h(l) be the third derivative of l**6/160 + 29*l**5/40 - l**4/8 - 29*l**3 - 220*l**2. Find r such that h(r) = 0.
-58, -2, 2
Let y = -483/236 + 1545/236. What is p in -7/4*p + 1/4*p**2 - y = 0?
-2, 9
Let z(x) be the first derivative of 4*x**3/21 - 152*x**2/7 - 332*x - 1280. Find u, given that z(u) = 0.
-7, 83
Let h(f) be the first derivative of 1/12*f**4 + 5/9*f**3 - 82 + 7/3*f - 13/6*f**2. Factor h(l).
(l - 1)**2*(l + 7)/3
Let a(h) be the first derivative of -3/5*h**5 - 117 - 1/8*h**6 + 0*h - 15/16*h**4 + 0*h**2 - 1/2*h**3. Find v such that a(v) = 0.
-2, -1, 0
Suppose 5*y + 2*z - 914 = 0, 4*y - 3*z - 252 - 470 = 0. Let w = -178 + y. Factor 0 + 3*g**3 + 15*g**w - 48/5*g**2 + 12/5*g.
3*g*(g + 1)*(5*g - 2)**2/5
Let d = -242607 - -242611. Let -d*t + 2/3*t**3 + 10/3*t**2 + 0 = 0. Calculate t.
-6, 0, 1
Suppose 3*n = 6 - 0. Let a(q) = -5*q - 10*q**n + 5 - 16*q - 9*q + 8*q. Let g(d) = -5*d**2 - 11*d + 2. Let j(k) = -4*a(k) + 9*g(k). Factor j(b).
-(b + 2)*(5*b + 1)
Let b(c) be the third derivative of -c**5/20 + c**4/4 + c**3/2 + 88*c**2. Let m(j) = j**4 - j**3 + 5*j**2 - 10*j - 5. Let o(v) = 5*b(v) + 3*m(v). Factor o(r).
3*r**3*(r - 1)
Let r(z) = -2*z**5 + z**4 + z**3 + 2*z - 1. Let n(y) = -9*y**5 - 95*y**4 + 5*y**3 + 99*y**2 + 8*y - 4. Let q(b) = -n(b) + 4*r(b). Factor q(v).
v**2*(v - 1)*(v + 1)*(v + 99)
Let a = -20762/3 - -6924. Let m = 1271/3 - 423. Factor 4 - m*u**2 - a*u.
-2*(u - 1)*(u + 6)/3
Let v(c) be the second derivative of 9025*c**4/12 - 190*c**3/3 + 2*c**2 + 3370*c. Solve v(n) = 0.
2/95
Let l(x) = -36*x**2 - 729*x - 798. Let g(p) = 7*p**2 + 147*p + 160. Let n(m) = 21*g(m) + 4*l(m). Let n(v) = 0. Calculate v.
-56, -1
Determine w so that -1/3*w**2 - 61/3*w + 210 = 0.
-70, 9
Find o such that 1/6*o**4 - 225 + 5/6*o**3 + 305/2*o - 179/6*o**2 = 0.
-18, 3, 5
Let f be (-25)/10*(-2 + (-1 - -1)). Let r(y) = -10*y**2 + 205*y - 215. Let a(i) = -7*i**2 + 102*i - 107. Let d(s) = f*a(s) - 3*r(s). Solve d(b) = 0 for b.
-22, 1
Let u be -19*31/(-2)*20/30. Let o = 197 - u. Let -t - o + t**3 + 1/3*t**4 + 1/3*t**2 = 0. Calculate t.
-2, -1, 1
Let a(m) be the second derivative of 2*m**7/21 + 86*m**6/3 - 433*m**5/5 + 217*m**4/3 - 73*m + 50. Find d, given that a(d) = 0.
-217, 0, 1
Let q = 227926/26593 - -2/3799. Let a = 752867/292768 + -5/41824. Factor -q*m - a - 50/7*m**2.
-2*(5*m + 3)**2/7
Factor -172*q**3 - 2928*q - 4181 + 427*q**4 - 853*q**4 + 826*q**2 + 430*q**4 + 678*q**2 - 427.
4*(q - 32)*(q - 6)**2*(q + 1)
Let m(a) be the second derivative of 22 - a - 8/15*a**3 + 28/15*a**2 + 1/30*a**4 + 1/150*a**5. Solve m(s) = 0 for s.
-7, 2
Let i = 146 + -152. Let o(q) = 13*q**3 + q**2 - 5. Let w(l) = -15*l**3 + 6. Let v(m) = i*o(m) - 5*w(m). Determine a, given that v(a) = 0.
-2, 0
Let i(r) = r**3 + r**2 - 1. Let w(m) = -14*m**3 - 1942*m**2 + 618246*m - 66152306. Let s(t) = 16*i(t) + w(t). F