*3 + 0 + 47/4*p**2.
p*(p + 4)*(p + 43)/4
Suppose 100*u + 89 = 150 + 339. Suppose 8/7*b + 4/7 - 1/7*b**u + 3/7*b**2 - 2/7*b**3 = 0. What is b?
-2, -1, 2
Let p(h) be the second derivative of -3*h**5/80 - 5*h**4/16 + 11*h**3/4 - 6*h**2 + 119*h - 2. Let p(l) = 0. Calculate l.
-8, 1, 2
Factor 3621*d - 168 - 7187*d + 3642*d + 4*d**2.
4*(d - 2)*(d + 21)
Let l = -400125 - -400132. Suppose 1/2*y**4 - 4 + l*y - 2*y**3 - 3/2*y**2 = 0. Calculate y.
-2, 1, 4
Let g = 152 - 82. Let f = g - 68. Suppose -2*q**2 + 73*q**3 - 45*q**3 - 8*q**4 + 12 - f*q**2 - 28*q = 0. Calculate q.
-1, 1/2, 1, 3
Let h(q) = -6*q**3 + 684*q**2 + 688*q + 230. Let p be h(115). Let -4/3*i**2 + p - 8/3*i = 0. Calculate i.
-2, 0
Factor 42*j**3 + 162408*j + 1492*j**2 - 2299*j**2 - 41*j**3 + 163216.
(j - 404)**2*(j + 1)
Find a such that -6*a + 9*a**2 + 51*a**5 - 92*a**5 + 40*a**5 - a**4 + 11*a**3 - 12*a = 0.
-3, -2, 0, 1, 3
Let q(i) be the second derivative of -4*i**6/15 + 561*i**5/10 + 496*i**4/3 + 95*i**3 - 142*i**2 - 95*i - 10. Determine k, given that q(k) = 0.
-1, 1/4, 142
Factor 10186 + 9*r**4 - 10314 - 236*r**2 - 25*r**3 - 23*r**3 + 368*r.
(r - 8)*(r + 4)*(3*r - 2)**2
Let l(d) be the third derivative of -1/12*d**6 + 0*d**4 + 0 - 186*d**2 - 27/448*d**8 + 0*d**3 + 0*d + 1/60*d**5 + 39/280*d**7. Suppose l(y) = 0. What is y?
0, 2/9, 1
Let h(b) be the third derivative of -b**5/120 - 65*b**4/48 - 16*b**3/3 - b**2 - 102*b. Determine w so that h(w) = 0.
-64, -1
Solve 6*u + 3*u**4 + 6*u**2 + 0 + 15/2*u**5 - 45/2*u**3 = 0.
-2, -2/5, 0, 1
Let p(n) be the third derivative of 2*n**7/105 - 73*n**6/30 + 79*n**5/3 + 469*n**4/6 - 156*n**2 - 16*n. Factor p(r).
4*r*(r - 67)*(r - 7)*(r + 1)
Let s = -199981/35 + 28573/5. Factor -9/7 - 24/7*j**2 + 26/7*j + 1/7*j**4 + s*j**3.
(j - 1)**3*(j + 9)/7
Let -x - 77/4*x**3 + 29/4*x**4 - 3/4*x**5 - 3 + 67/4*x**2 = 0. Calculate x.
-1/3, 1, 2, 6
Let p(k) = -k**3 - 17*k**2 - 71*k + 12. Let c be p(-9). Let b(d) be the first derivative of -c*d**3 + 11 - 3/4*d**4 - 9/2*d**2 - 3*d. Factor b(y).
-3*(y + 1)**3
Suppose -2*b - 191 = -5*f, -3*f = 15*b - 13*b - 121. Factor -14*d + 0*d**3 + f*d**3 - 12 - 37*d**3.
2*(d - 3)*(d + 1)*(d + 2)
Let s(l) = 3*l**3 - 15*l**2 + 7*l + 5. Let k(o) = 6*o**3 + 27*o - 12*o + 9 - 5*o**2 - 23*o**2 - 2*o**2. Let h(f) = 5*k(f) - 9*s(f). What is g in h(g) = 0?
0, 1, 4
Let g(p) = -p**3 - 3*p**2 + 4*p + 45. Let z be g(-7). Find j such that -242 - 8*j + 211*j**2 + 52*j - z*j**2 = 0.
11
Suppose 5*p = -w + 15, -5*w = -3*p - 6 + 43. Factor -2*j - 41*j**4 + 20*j**2 - 5*j**3 + 11*j**p + 25*j**4 + 22*j.
-5*j*(j - 2)*(j + 1)*(j + 2)
Solve -256*y - 114688 - 1/7*y**2 = 0.
-896
Let u be (-24)/144 - 75/(-18). Solve -11*w - 64*w + 27*w + u*w**2 + 144 = 0 for w.
6
Suppose 0 = 122*q - 134*q - 12. Let g be (q/10)/(36/(-72)). Let g*w + 0 - 1/5*w**2 = 0. What is w?
0, 1
Suppose -3608*i + 4641*i - 4888 = 7508. Solve -51/2*x**2 - i*x**3 - 3/2 - 15*x = 0 for x.
-1, -1/8
Let j(g) = -6*g**2 - 306*g - 298. Let s(f) = 2*f**2 + 88*f + 99. Let u(d) = 3*j(d) + 10*s(d). Factor u(x).
2*(x - 16)*(x - 3)
Let c(z) be the first derivative of -5*z**6/24 - z**5/5 + 33*z**4/16 + z**3/3 - 7*z**2/2 - 7059. What is p in c(p) = 0?
-14/5, -1, 0, 1, 2
Solve -44/17 - 4*n**3 + 16/17*n**2 + 28/17*n**4 + 70/17*n - 2/17*n**5 = 0 for n.
-1, 1, 2, 11
Let b(q) be the third derivative of -1/2184*q**8 - 3*q - 1/273*q**7 + 0 - 1/78*q**4 - 3/260*q**6 - 7/390*q**5 + 0*q**3 + 32*q**2. Factor b(x).
-2*x*(x + 1)**3*(x + 2)/13
Let h be -19585*6/(-165) + -1. Let i = h - 711. Solve i*u + 2/11*u**2 - 4/11 = 0 for u.
-2, 1
Suppose 0 = -393*p + 389*p. Let j(x) be the second derivative of 9/4*x**5 + x**3 + 3/14*x**7 + 9/4*x**4 + 0 + p*x**2 - 2*x + 11/10*x**6. Factor j(n).
3*n*(n + 1)**3*(3*n + 2)
Let j(s) be the third derivative of 0*s**3 + 0 + 1/10*s**4 - 1/525*s**7 + 0*s + 1/150*s**5 + 22*s**2 - 1/50*s**6. Factor j(o).
-2*o*(o - 1)*(o + 1)*(o + 6)/5
Let b(d) = -10*d**3 + 2*d**2 + 18*d + 30. Let r(v) = -v**3 - v**2 - v + 1. Suppose 5*j - 3*c - 80 = c, -20 = 4*c. Let i(t) = j*r(t) - b(t). Factor i(f).
-2*(f + 1)*(f + 3)**2
Let w(i) = -12*i**4 + 75*i**2 + 180*i + 93. Let a(n) = 9*n**4 + 3*n**3 - 77*n**2 - 179*n - 92. Let l(m) = -3*a(m) - 2*w(m). Suppose l(y) = 0. Calculate y.
-6, -1, 5
Let o(w) be the third derivative of 0*w**6 - 1/2*w**3 - 119*w**2 + 0*w**4 + 1/16*w**5 + 2*w - 1/280*w**7 + 0. Determine n so that o(n) = 0.
-2, -1, 1, 2
Let k(c) be the second derivative of -2*c - 17/3*c**4 - 4 + 0*c**2 + 28/5*c**6 + 39/20*c**5 + 2*c**3 + 7/6*c**7. Find j such that k(j) = 0.
-3, -1, 0, 2/7
Let z(b) be the second derivative of 0*b**3 + 0*b**2 + 1/39*b**4 + 19 - 1/130*b**5 - 2*b. Factor z(a).
-2*a**2*(a - 2)/13
Let x be (-2 + 1)*(-39 + 36). Find k, given that 184 - 44 - 18*k**2 - 16*k**2 - 32*k + 8*k**2 + 244 - 2*k**x = 0.
-8, 3
Let r(u) be the second derivative of u**5/40 - 143*u**4/24 + 347*u**3/6 - 138*u**2 + 1766*u. Solve r(f) = 0.
1, 4, 138
What is s in -165*s - 2604*s**2 + 2601*s**2 + 276 + 432 = 0?
-59, 4
Let z = 168 - 56. Factor 8*f**3 - 32*f**4 - 13*f**4 + 116*f**3 + 13*f**4 - z*f**2 - 16*f.
-4*f*(f - 2)**2*(8*f + 1)
Suppose 13*n = 15*n - 6. Let k be -2*(-37)/((-814)/(-44)). Determine r so that 2/3 + 35/6*r**2 + 5/3*r**n + 7/3*r**5 - k*r - 13/2*r**4 = 0.
-1, 2/7, 1/2, 1, 2
Let m = 111 - 109. What is l in -14*l - 5 - 3 + 4*l**2 - 8 - m*l**2 = 0?
-1, 8
Let o(d) be the second derivative of -d**5/12 - 31*d**4/36 - d**3/3 + 1973*d. Factor o(z).
-z*(z + 6)*(5*z + 1)/3
Let x = 198365 + -198363. Let 1/11*v**x + 18/11 - v = 0. Calculate v.
2, 9
Let q(k) be the second derivative of -1/5*k**5 + 1/6*k**4 + k**2 - 42*k + 0 - 2/15*k**6 + 5/6*k**3 - 1/42*k**7. Factor q(u).
-(u - 1)*(u + 1)**3*(u + 2)
Let a be (-150)/(-432)*4 - 1080/(-972). Factor -5/4*t - a + 5/4*t**2.
5*(t - 2)*(t + 1)/4
Determine m, given that -12*m**3 - 5*m**3 - 363*m - 6*m**3 - 2662 + 32*m**3 - 8*m**3 = 0.
-11, 22
Let f(l) = -13*l**2 + 124*l - 46. Let x(u) = 27*u**2 - 5*u + 35*u**2 - 60*u**2 + 5*u + 1. Let k(n) = 4*f(n) + 20*x(n). Factor k(s).
-4*(s - 41)*(3*s - 1)
Let x(i) = 23*i**3 + 84*i**2 + 158*i + 115. Let t(v) = 30*v**3 + 111*v**2 + 210*v + 153. Let q(b) = -7*t(b) + 9*x(b). Factor q(p).
-3*(p + 2)**2*(p + 3)
Let j(o) be the second derivative of 1/12*o**4 + 25*o - 7/3*o**3 + 0 - 15/2*o**2. Let j(x) = 0. Calculate x.
-1, 15
Suppose 161*q + 207 - 574 = 599. Let b(t) be the third derivative of 0*t - 1/5*t**5 - 36*t**2 + 1/30*t**q + 0 + 8/3*t**3 + 0*t**4. Factor b(p).
4*(p - 2)**2*(p + 1)
Suppose -84 - 132 = -72*o. Let r(k) be the first derivative of -23/7*k**2 - 12/7*k + 13 - 2/3*k**o. Find s, given that r(s) = 0.
-3, -2/7
Let p(j) = 2757*j + 173696. Let a be p(-63). Determine g, given that -3/4*g**2 + 0*g - 1/4*g**a + 3/4*g**4 + 1/4*g**3 + 0 = 0.
-1, 0, 1, 3
Let f = 3779/8 - 1889/4. Let q(s) be the third derivative of 0 + 0*s**3 + 0*s - f*s**4 + 3/40*s**5 - 12*s**2. Determine l so that q(l) = 0.
0, 2/3
Let q(k) = -28*k + 226. Let n be q(8). Let h(f) = 3*f**2 - 26*f + 31. Let r(z) = z**2 + z + 2. Let t(v) = n*r(v) - h(v). Factor t(j).
-(j - 27)*(j - 1)
Let o(y) be the first derivative of -y**7/6 - 3*y**6/8 - y**5/6 - 39*y**2 - 69. Let v(z) be the second derivative of o(z). Factor v(s).
-5*s**2*(s + 1)*(7*s + 2)
Let c(o) = o - 11. Let t(d) = d**3 - 6*d**2 - 4*d - 8. Let n be t(7). Let v be c(n). Factor u + 3*u + 6*u**2 + 0*u + 4 - 14*u**v.
-4*(u - 1)*(2*u + 1)
Factor -3*d - 1/4*d**4 + 3/2*d**3 + 0 - 5/4*d**2.
-d*(d - 4)*(d - 3)*(d + 1)/4
Let y(z) be the second derivative of -z**5/120 - 41*z**4/36 - 79*z**3/12 + 1906*z. Factor y(v).
-v*(v + 3)*(v + 79)/6
Let x = 92500 - 460087/5. Let k = -471 + x. Let -12*c**3 - 12/5*c + k*c**2 + 0 + 14/5*c**4 = 0. Calculate c.
0, 2/7, 1, 3
Let d = 2466 - 2464. Let s be 2 - (-2)/4*0. Suppose s + 0 - y**2 + 2*y - d = 0. Calculate y.
0, 2
Let g = -418 - -422. Factor -10*z**2 - 5*z**2 + 6*z**g + 31*z**2 - 14*z**2 - 2*z**5 - 6*z**3.
-2*z**2*(z - 1)**3
Let r(u) be the second derivative of -2*u**7/63 + 626*u**6/15 - 66082*u**5/3 + 51580150*u**4/9 - 1998592750*u**3/3 - 6099601250*u**2/3 + 1591*u. Factor r(p).
-4*(p - 235)**4*(p + 1)/3
Let h(m) be the first derivative of 13*m**3/3 + 19*m**2/2 + 5*m + 39. Let p(u) = -6*u**2 - 10*u - 2. Let o(d) = -2*h(d) - 5*p(d). What is q in o(q) = 0?
-3, 0
Solve -1/6*h**3 + 26*h**2 + 0 + 