(g) = 0. What is g?
-18
Suppose 0 = 99*g - 16*g - 40*g - 12*g - 62. Find h such that 3/7*h**4 + 6/7*h**3 - 3/7*h**g - 6/7*h + 0 = 0.
-2, -1, 0, 1
Let d = -139 - -191. Suppose 26*x = -0*x + d. Factor -3/4 - 39/8*s**x + 45/8*s.
-3*(s - 1)*(13*s - 2)/8
Let w(z) = -z**4 - z. Suppose 7*f = -50 + 57. Let v(b) = 3*b**4 + 2*b**3 - 4*b**2 + 3. Let m(k) = f*v(k) + 2*w(k). Factor m(p).
(p - 1)**2*(p + 1)*(p + 3)
Let o(i) = 100*i**3 + 1190*i**2 - 45*i + 45. Let u(m) = -9*m**3 - 108*m**2 + 4*m - 4. Let x(f) = 4*o(f) + 45*u(f). Find s, given that x(s) = 0.
-20, 0
Let h(m) be the second derivative of -38 - 2/3*m**3 - 1/6*m**4 + 1/10*m**5 + 2*m + 0*m**2. Let h(i) = 0. Calculate i.
-1, 0, 2
Let r(b) be the first derivative of 98*b**6/15 + 756*b**5/25 + 48*b**4 + 80*b**3/3 + 5338. Factor r(n).
4*n**2*(n + 1)*(7*n + 10)**2/5
Let a(h) = -13*h**4 + 203*h**3 + 434*h**2 - 1440*h + 821. Let b(g) = -2*g**4 + g**3 + g**2 + 1. Let w(s) = -a(s) + 5*b(s). What is m in w(m) = 0?
-4, 1, 68
Let z = -316 + 318. Let b(y) = 4*y**4 - 12*y**3 - 10*y**2 - 3*y - 3. Let j(n) = -2*n**4 - 2*n**2 + n + 1. Let g(t) = z*b(t) + 6*j(t). Factor g(p).
-4*p**2*(p + 2)*(p + 4)
Suppose 27 = 14*q - 5*q. Suppose -5*m = q*o + 4, 2*o + 58*m - 14 = 63*m. Factor -14/15*t + 4/15*t**3 - 2/15*t**o + 4/5.
2*(t - 1)*(t + 2)*(2*t - 3)/15
Let p be 56*1 + 186032/(-3624). Factor 16/3*g + 12*g**3 + 0 + p*g**4 + 2/3*g**5 + 40/3*g**2.
2*g*(g + 1)*(g + 2)**3/3
Let p(c) be the second derivative of 5*c**4/12 + 1445*c**3/6 + 720*c**2 - 4*c - 294. Find n such that p(n) = 0.
-288, -1
Let l = -31844/3 - -10615. Let -l*t**3 + 13/3*t + 2/3*t**2 + 10/3 = 0. What is t?
-2, -1, 5
Suppose -10*l + 21*l - 77 = 0. Determine n so that n**4 - 6*n + 3*n**2 - 13*n - 14 - 2*n**4 + 0*n + l*n**3 = 0.
-1, 2, 7
Let t(g) = 22*g - 168. Let l be t(8). Factor -17*s**2 - 9 + 5*s**2 + l*s**3 + 21 - 8*s.
4*(s - 1)*(s + 1)*(2*s - 3)
Let s(i) be the first derivative of 2*i**6/3 - 48*i**5/5 - 18*i**4 + 432*i**3 + 1458*i**2 - 1220. Suppose s(n) = 0. What is n?
-3, 0, 9
Let z(w) be the second derivative of 4*w - 8 - 162/5*w**2 - 1/60*w**4 + 6/5*w**3. Find v such that z(v) = 0.
18
Suppose 9*r = 117 - 45. Suppose b - r = -b. Solve -b*i**2 - 5*i - 11*i - 4*i - 2*i**3 + 26*i = 0.
-3, 0, 1
Let d(v) = v**3 + 5*v**2 + 4*v - 1. Let g be d(-4). Let q be (-2)/3*240/(-128) - g. Factor -q*k - 3*k**2 - 1/2 - k**3.
-(k + 2)*(2*k + 1)**2/4
Suppose 48*y**4 + 254 - 49*y**4 - 282 + 24*y + 11*y**2 - 6*y**3 = 0. Calculate y.
-7, -2, 1, 2
Suppose -5/2*v**5 + 0 + 115/4*v**2 + 165/2*v - 115/4*v**4 - 80*v**3 = 0. What is v?
-6, -11/2, -1, 0, 1
Let r be (-6)/15 - (-8)/20. Let j be (0 + -21 + r)/(666/(-2072)). Let j + 1/3*q**2 + 28/3*q = 0. What is q?
-14
Let h(j) be the second derivative of j**6/30 - 3*j**5/10 - j**4 + 44*j**3/3 - 48*j**2 + 902*j. Solve h(n) = 0.
-4, 2, 6
Let x(g) be the second derivative of -g**4/3 - 379*g**3/6 - 141*g**2 - g - 159. Factor x(o).
-(o + 94)*(4*o + 3)
Suppose 2*n - 4 = q - 5*q, 5*q + n = 11. Let t be 27/30 - (8 + (-9)/(450/380)). Suppose -1/2*c**2 - t*c + 0 + 1/2*c**4 + 1/2*c**q = 0. Calculate c.
-1, 0, 1
Suppose 78/17 - 76/17*c - 2/17*c**2 = 0. What is c?
-39, 1
Factor -3/2*a**3 + 15/2*a + 7/2*a**2 - 9 - 1/2*a**4.
-(a - 2)*(a - 1)*(a + 3)**2/2
Let y be (2/5 - 0)/(-45*(-26)/325). Let l(h) be the second derivative of 1/6*h**2 + 1/36*h**4 + 0 + 26*h - y*h**3. Factor l(x).
(x - 1)**2/3
Let m(k) = 11*k + 70. Let w be m(-6). Let t(q) be the third derivative of q**2 + 1/28*q**5 + 0*q + 0*q**3 + 0 + 0*q**w + 1/280*q**6. Factor t(u).
3*u**2*(u + 5)/7
Let k(f) be the third derivative of 9*f**8/112 - 69*f**7/70 - 17*f**6 - 78*f**5 - 158*f**4 - 168*f**3 + 3*f**2 - 55*f. Determine s, given that k(s) = 0.
-3, -2, -2/3, 14
Let u = 5/186 - -44/93. Let a(w) be the second derivative of -1/12*w**4 - 1/6*w**3 + 0 + u*w**2 + 1/20*w**5 + 11*w. Factor a(s).
(s - 1)**2*(s + 1)
Suppose -10*i = 32*i - 56*i + 42. Determine f so that 6/5 - i*f + 3/5*f**3 + 9/5*f**2 - 3/5*f**4 = 0.
-2, 1
Factor -2122*r**3 - 63488*r**4 + 239884*r**4 - 87362*r**5 - 1110*r**3 - 317*r**3 + 16*r**2 + 197*r**3.
-2*r**2*(r - 2)*(209*r - 2)**2
Let c be 6/2*(-47)/94 - (-1893)/1260. Let w(i) be the third derivative of 1/14*i**5 - c*i**6 - 25/28*i**4 + 0*i + 0 + 5*i**2 + 125/21*i**3. Factor w(a).
-2*(a - 5)**3/7
Let x(i) = -i**4 + 149*i**3 + 3*i - 9. Let f(n) = 4*n**4 - 596*n**3 - 13*n + 39. Let r(o) = 6*f(o) + 26*x(o). Find w, given that r(w) = 0.
0, 149
Suppose -2*t + 27 = 3*l, 41*t - 2*l + 23 = 44*t. What is a in 9/4 + a**3 - t*a - 1/2*a**2 + 1/4*a**4 = 0?
-3, 1
Let b(l) = 38*l**2 - 61*l - 185. Let q(f) = 23*f**2 - 30*f - 93. Let n(p) = 3*b(p) - 5*q(p). Solve n(c) = 0.
-30, -3
Suppose 37/3*g**3 + 50/3*g**2 - 425/6*g + 1/3*g**4 - 1/6*g**5 + 125/3 = 0. Calculate g.
-5, 1, 10
Let u(o) = 3622*o + 152128. Let j be u(-42). Determine p so that -2/9*p**3 + 2/9*p**j + 0 - 4/9*p**2 + 0*p = 0.
-1, 0, 2
Let t be (0/86)/(-4 + (-2 - (-6 - -1))). Factor -1/6*f**5 + t*f + 0 - 7/6*f**3 - 1/2*f**2 - 5/6*f**4.
-f**2*(f + 1)**2*(f + 3)/6
Let d(x) = -x**3 + 12*x**2 - 49*x + 57. Let b(q) = q + 7. Let j(y) = -b(y) - d(y). Suppose j(a) = 0. Calculate a.
4
Factor -16 + 1/2*n**3 + 0*n + 3*n**2.
(n - 2)*(n + 4)**2/2
Let x(p) be the first derivative of -3*p**4/4 + p**3/3 + 15*p**2/2 - 7*p - 56. Let z(s) = s**3 + s - 1. Let g(u) = x(u) - 6*z(u). Let g(w) = 0. Calculate w.
-1, 1/9, 1
Suppose 3*s - 56376 = -56361. Let y(o) be the second derivative of 1/80*o**s + 3/8*o**2 + 0 + 7/24*o**3 + o + 5/48*o**4. What is g in y(g) = 0?
-3, -1
Factor -17/6*o - 1/6*o**2 + 45.
-(o - 10)*(o + 27)/6
Let n(f) = f**3 - 21*f**2 + 43*f - 95. Let g be n(19). Find s, given that -2/9*s**3 + 2*s - 16/9*s**2 + g = 0.
-9, 0, 1
Solve 6/5*k**3 + 58/5*k**2 - 18/5 + 34/5*k = 0 for k.
-9, -1, 1/3
Let p be -22 - (-1 - (4 + -8)). Let m = 38 + p. Let 1 - 6 + 75*s - m - 44*s**2 + 7*s**3 = 0. Calculate s.
2/7, 3
Let l be -2 - (9 + 0 + -1). Let g be (2 - -5) + l/30. Factor 2/3*i**2 + 50/3 - g*i.
2*(i - 5)**2/3
Let c(b) = 5*b**3 + 151*b**2 + 925*b + 1404. Let k(o) = -6*o**3 - 152*o**2 - 926*o - 1404. Let l(d) = 8*c(d) + 7*k(d). Factor l(f).
-2*(f - 78)*(f + 3)**2
Let v = -26460 - -52921/2. Let o(n) be the first derivative of 0*n**2 - 8*n - 22 + 2*n**3 - v*n**4. Find u, given that o(u) = 0.
-1, 2
Suppose -2*a = -17 + 9. Factor -5*z**3 + 2*z**2 - 57*z**a - 2*z**2 + 37*z**4 - 20*z**5.
-5*z**3*(2*z + 1)**2
Solve 208/9*y**2 + 202/9*y + 2/9*y**3 - 412/9 = 0.
-103, -2, 1
Let q = -2 - -4. Factor -30*g**2 - 3*g**3 + 12*g**2 + 10*g**2 + 8*g**q.
-3*g**3
Let f(k) be the first derivative of 2*k**3/15 + 103*k**2 + 3072*k/5 - 5262. Solve f(x) = 0 for x.
-512, -3
Let c be (-72)/270*(-1)/(-4)*-9. Let s(i) be the second derivative of -c*i**5 - 28*i + 0 - 1/10*i**6 - 1/2*i**4 + 9/2*i**2 + 2*i**3. Factor s(m).
-3*(m - 1)*(m + 1)**2*(m + 3)
Let q = -26651 + 1199239/45. Let t = q - -166/45. Factor 2*r**2 - t*r + 8/9 - 2/9*r**4 - 2/9*r**3.
-2*(r - 1)**3*(r + 4)/9
Factor -107/4*n + 79/2*n**2 + 27/4 + 1/4*n**5 + 23/4*n**4 - 51/2*n**3.
(n - 1)**4*(n + 27)/4
Let k(b) = 2*b**3 - 288*b**2 - 906*b + 16. Let z(f) = -2*f**2 - 4. Let s(j) = -k(j) - 4*z(j). Factor s(i).
-2*i*(i - 151)*(i + 3)
Let n(h) be the third derivative of h**7/105 - h**6/60 - h**5/15 - 15*h**2 - 7. What is t in n(t) = 0?
-1, 0, 2
Let b(k) be the first derivative of -k**5/20 + 25*k**4/8 - 187*k**3/12 + 69*k**2/4 - 901. Determine g so that b(g) = 0.
0, 1, 3, 46
Let a(d) = 10*d**3 - 126*d**2 + 122*d + 222. Suppose -34 + 134 = -20*c. Let r(l) = -4*l**3 + 51*l**2 - 49*l - 89. Let y(h) = c*a(h) - 12*r(h). Factor y(p).
-2*(p - 7)*(p - 3)*(p + 1)
Suppose -4*r - 46 + 57 = v, -15 = -4*r + 3*v. Factor 141*m**2 - m**3 - 8*m**3 + 0*m**3 + m**3 - 273*m + 135 + 5*m**r.
-3*(m - 45)*(m - 1)**2
Let q(u) be the second derivative of 0 - 1/6*u**3 + 0*u**2 - 40*u + 5/24*u**4 + 11/40*u**5 + 1/15*u**6. What is l in q(l) = 0?
-2, -1, 0, 1/4
Let -14475 - 1828*h + 692*h - 163*h - 5*h**2 - 3386*h - 155*h = 0. Calculate h.
-965, -3
Factor -242/5*o**2 + 88*o - 40.
-2*(11*o - 10)**2/5
Let n(l) = 15*l**3 + 3*l**2 - 3*l + 5. Let o be n(2). Suppose -2*u + 3*q = 3, -5*q = -o*u + 135*u - 27. Factor 1/8*h**2 + 0 + 0*h - 1/8*h**u.
-h**2*(h - 1)/8
Let v = -5599/40 - -140. Let x(l) be the third derivative of 1/4*l**3 + 5/24*l**4 - 15*l**2 + 0 + v*l**5 + 0