- 18)*(a - 1)/7
Let n(o) = -55*o**3 + 419*o**2 + 520*o + 67. Let f(p) = -18*p**3 + 140*p**2 + 174*p + 22. Let v(t) = -7*f(t) + 2*n(t). Find j such that v(j) = 0.
-1, -1/8, 10
Let b(j) = -j**3 + 7*j**2 + 23*j + 1. Let u be b(7). Let g be (-1 - u/(-42))*(-14)/(-12). Suppose 2/3*h**2 + 2*h**4 + 2/3*h + 0 - g*h**3 = 0. What is h?
-1/3, 0, 1
Find o such that -8*o**2 + 0 - 2/11*o**4 - 4*o**3 + 2/11*o**5 - 48/11*o = 0.
-2, -1, 0, 6
Let h(j) be the second derivative of j**4/54 + 623*j**3/27 - 208*j**2/3 - 355*j. Factor h(w).
2*(w - 1)*(w + 624)/9
Let w(b) be the first derivative of 5/2*b**2 + 19 + 0*b + 5/4*b**4 - 10/3*b**3. What is n in w(n) = 0?
0, 1
Let g(c) = c**3 - 94*c**2 + 362*c + 2. Let m be g(4). Let 8*r - 1/2*r**2 - m - 1/2*r**3 = 0. Calculate r.
-5, 2
Let g(a) be the second derivative of a**5/150 - 19*a**4/9 + 9212*a**3/45 - 17672*a**2/15 + 430*a. Suppose g(y) = 0. Calculate y.
2, 94
Let r(b) = 2*b**2 + 4*b. Let g(m) = -m**2 + 127*m + 126. Let n(h) = -g(h) + r(h). Factor n(x).
3*(x - 42)*(x + 1)
Factor 17*j - 7 + 29*j - 23 - 51*j + 50*j**2 - 15*j**3.
-5*(j - 3)*(j - 1)*(3*j + 2)
Let c(x) be the second derivative of -x**6/90 + 7*x**5/30 - 11*x**4/12 - 56*x**3/9 - 32*x**2/3 + 3*x - 423. Factor c(n).
-(n - 8)**2*(n + 1)**2/3
Let d be (5*(-18)/(-120))/((-87)/6 - -15). Suppose -2 + 1/2*g**2 + d*g = 0. What is g?
-4, 1
Let i(r) be the first derivative of -68 + 0*r + 4/15*r**5 - 25/12*r**4 - 3/2*r**2 + 14/3*r**3. Suppose i(t) = 0. What is t?
0, 1/4, 3
Suppose 0 = -12*l + 9*l + 12. Suppose -4*r + 4 = -l. Determine p, given that p**r + p**2 + p**3 - 4*p**2 = 0.
0, 2
Let n be 26 - (0 + 3)*12/9. Let s be (204/(-374))/((-2)/n). Let 3/2*b + s*b**4 - 6*b**2 + 0 - 3/2*b**3 = 0. Calculate b.
-1, 0, 1/4, 1
Let g(x) be the second derivative of -1/3*x**4 + 0 + 1/10*x**5 + 230*x + 0*x**2 - x**3. Factor g(q).
2*q*(q - 3)*(q + 1)
Let z(g) be the third derivative of -g**6/30 - 92*g**5/15 - 85*g**4/6 + 364*g**3 + 7770*g**2. Factor z(n).
-4*(n - 2)*(n + 3)*(n + 91)
Factor -1/2*d**2 - 572*d + 1145/2.
-(d - 1)*(d + 1145)/2
Let g(n) be the second derivative of -n**5/40 - 8*n**4/3 + 11*n**3 - 4*n - 249. Find x such that g(x) = 0.
-66, 0, 2
Suppose 19*h - 19*h + 37*h = -34*h - 80*h. Factor h + 3/5*i**5 + 6/5*i**4 - 3/5*i - 6/5*i**2 + 0*i**3.
3*i*(i - 1)*(i + 1)**3/5
Find d such that -4*d**4 - 5117*d**3 + 67*d + 2526*d**3 + 2547*d**3 + 184*d**2 + 157*d = 0.
-14, -1, 0, 4
Let a(o) be the second derivative of o**7/42 - 4*o**6/5 + 33*o**5/4 - 121*o**4/6 + 3*o - 134. Suppose a(h) = 0. What is h?
0, 2, 11
Let w(o) = o**3 + o**2 - 3*o - 7. Let y be w(3). Suppose -h - 5*b = 4*h - y, 2*h - 5 = b. Factor 9*n**h - 10 + 33*n - 42*n**2 + 18*n - 8.
3*(n - 3)*(n - 1)*(3*n - 2)
Let o = -2441 + 2443. Let n(u) be the second derivative of 25/3*u**o - 10/9*u**3 + 18*u + 0 + 1/18*u**4. Suppose n(h) = 0. Calculate h.
5
Let j be (-2 - (-3)/(-12)) + (-21180)/(-8472). Factor 1/4*a + j*a**2 - 15/2.
(a - 5)*(a + 6)/4
Factor -28 + 53/7*n - 1/7*n**2.
-(n - 49)*(n - 4)/7
Let c(l) = -134*l - 13. Let z be c(5). Let u = -1365/2 - z. Find p, given that u*p**3 + 0*p + 0 + 3/2*p**2 = 0.
-3, 0
Let c(q) be the third derivative of 0*q + 0 - 3/22*q**4 - 1/330*q**5 - 27/11*q**3 - 169*q**2. Suppose c(u) = 0. Calculate u.
-9
Suppose -51*i - 6 = -53*i. Suppose -i*y - y + 20 = 0. Factor -4*l**4 - 8*l**y + l**2 - 4*l**3 - l**2 + 7*l**5.
-l**3*(l + 2)**2
Factor 3/7*x**2 - 33/7*x - 54.
3*(x - 18)*(x + 7)/7
Factor -j**2 + 3791*j + 480 + 3757*j + 4*j**3 - 7552*j - 479*j**2.
4*(j - 120)*(j - 1)*(j + 1)
Let o = -1876426/3 + 625476. What is b in 14 - 22/3*b - 6*b**2 - o*b**3 = 0?
-7, -3, 1
Let z(c) = 31*c**3 - 6*c**2 - 91*c + 35. Let q = 163 - 174. Let w(u) = 16*u**3 - 3*u**2 - 46*u + 18. Let t(o) = q*w(o) + 6*z(o). Factor t(a).
(a - 2)*(a + 2)*(10*a - 3)
Factor 0 - 24*f - 2/3*f**4 - 22/3*f**3 - 24*f**2.
-2*f*(f + 2)*(f + 3)*(f + 6)/3
Let i(n) be the first derivative of -25/2*n**2 - 5*n - 25/2*n**4 - 50/3*n**3 - 5/6*n**6 + 77 - 5*n**5. Solve i(b) = 0.
-1
Let b(t) be the first derivative of t**3/3 - 27*t**2/2 + 92*t - 313. Let c be b(23). Factor c + 2/3*i**4 + 0*i**2 + 2/3*i**3 + 0*i.
2*i**3*(i + 1)/3
Let i(h) be the first derivative of h**4/2 - 100*h**3/3 + 672*h**2 - 2304*h + 3394. Solve i(s) = 0.
2, 24
Let u(g) = g**2 + 18*g - 123. Let r be u(6). Let k = -59/3 + r. Factor -8/3*j - k*j**4 + 4/3*j**2 + 0 + 8/3*j**3.
-4*j*(j - 2)*(j - 1)*(j + 1)/3
Let p(b) be the second derivative of -b**5/100 - 2*b**4/3 - 119*b**3/10 + 441*b**2/5 + 876*b. Factor p(z).
-(z - 2)*(z + 21)**2/5
Let m(y) be the second derivative of 1/51*y**3 - 5/17*y**2 - 1/170*y**5 + 0 - 16*y + 5/102*y**4. What is g in m(g) = 0?
-1, 1, 5
Let g(c) be the third derivative of -c**7/210 - c**6/120 - 23*c**2 - 5. Let g(w) = 0. What is w?
-1, 0
Let m(d) be the first derivative of d**6/12 + 7*d**5/10 - 5*d**4/8 - 35*d**3/6 + d**2 + 14*d - 405. Determine y, given that m(y) = 0.
-7, -2, -1, 1, 2
Let h be -18 - ((-57528)/(-329))/(-8). Determine g so that 0 + 9/7*g**3 + 15/7*g - 3/7*g**4 + h*g**2 = 0.
-1, 0, 5
Let p = 74174 + -74172. Let 10/3*w**5 + 10*w - 15*w**4 + 115/3*w**p - 40/3 - 10/3*w**3 = 0. What is w?
-1, 1/2, 2, 4
Let j(p) = -2*p**3 + 234*p**2 - 695*p + 1254. Let a be j(114). Suppose 0 = 5*w - 0 - 15. Factor a + 2/5*k**4 - 16/5*k**w - 36/5*k + 42/5*k**2.
2*k*(k - 3)**2*(k - 2)/5
Let d be 120/144 + (-3070)/(-420). Let d*u - 60/7 + 3/7*u**2 = 0. Calculate u.
-20, 1
Let j(n) be the first derivative of n**6/120 + n**5/40 - n**3 - 5*n - 15. Let d(h) be the third derivative of j(h). Suppose d(i) = 0. Calculate i.
-1, 0
Suppose -11*p + 90 = -5*p. Let n be p/(-6)*24/(-20). What is q in 6*q + 67*q**4 - n*q**5 - 58*q**4 + q**3 - 4*q**3 - 9*q**2 = 0?
-1, 0, 1, 2
Suppose 0 = 44*r - 54*r. Let u(x) be the second derivative of 1/5*x**5 + r*x**3 + 21*x + 0 + x**4 - 8*x**2. Determine j so that u(j) = 0.
-2, 1
Let r(o) be the first derivative of 5*o**6/6 - 97*o**5 + 3000*o**4 - 3840*o**3 - 121. Find w, given that r(w) = 0.
0, 1, 48
Let q(n) be the second derivative of -n**4/3 - 52*n**3 - 304*n**2 + 110*n. Factor q(o).
-4*(o + 2)*(o + 76)
Let n(a) be the second derivative of a**4/48 - a**3/12 - 3*a**2/8 - 2400*a. Factor n(u).
(u - 3)*(u + 1)/4
What is v in 499392 + 1/3*v**2 + 816*v = 0?
-1224
Let h(n) = -n**2 + 9*n + 12. Let v be h(10). Suppose 717*r - 655*r = 0. Factor r + 6/7*c + 2/7*c**v.
2*c*(c + 3)/7
Determine q, given that -8254*q + 124848 - 62642*q**2 + 808*q**3 - 77426*q + 22670*q**2 - 4*q**4 = 0.
-3, 1, 102
Let y(n) = -12*n**3 + 38*n**2 + 22*n + 28. Let l(k) = k**3 - k**2 - 2. Suppose 6*p + 8 = 9*p - a, 0 = 3*p + 3*a. Let r(j) = p*y(j) + 28*l(j). Factor r(z).
4*z*(z + 1)*(z + 11)
Factor -2788/5*r + 971618/5 + 2/5*r**2.
2*(r - 697)**2/5
Let q(c) be the first derivative of c**4/8 - 5*c**3 + 207*c**2/4 + 119*c + 2346. Find k, given that q(k) = 0.
-1, 14, 17
Suppose -37*n + 48 = -13*n. Let -10*k - 2/9*k**3 - 32/9*k**n + 36 = 0. Calculate k.
-9, 2
Suppose -3*r - 2*x - 25 = 0, -60*x + 57*x = -3*r - 30. Let y be r*(9 + (-386)/42). Factor -3/7*m**3 + y*m**2 + 3/7*m - 12/7.
-3*(m - 4)*(m - 1)*(m + 1)/7
Let y be 1218/105*(-58)/(-8). Let q = 423/5 - y. Suppose q*z + 0 - 7/4*z**2 = 0. Calculate z.
0, 2/7
Let b(u) be the second derivative of -u**5/30 - 22*u**4/3 - 1495*u**3/3 - 8450*u**2/3 + 282*u + 2. Find j such that b(j) = 0.
-65, -2
Factor -92*i - 2*i**3 + 1/3*i**4 - 91/3*i**2 - 84.
(i - 14)*(i + 2)*(i + 3)**2/3
Let h(b) be the first derivative of b**6/9 - 436*b**5/5 + 107581*b**4/6 - 142136*b**3/3 + 106276*b**2/3 - 403. Factor h(x).
2*x*(x - 326)**2*(x - 1)**2/3
Let c(w) be the third derivative of -w**6/300 - 41*w**5/75 - 88*w**4/3 - 640*w**3/3 - 116*w**2. Let c(i) = 0. Calculate i.
-40, -2
Let m = 18530 + -18526. Determine u so that 5/4*u**3 + 1/4*u**2 - 1/4*u**5 - 2*u - 1/4*u**m + 1 = 0.
-2, 1
Let d(q) = -5*q**4 + q**3 + 7*q**2 + 19*q - 20. Let h(b) = 21*b**4 - 9*b**3 - 27*b**2 - 75*b + 81. Let t(z) = 9*d(z) + 2*h(z). Suppose t(w) = 0. What is w?
-3, -2, 1
Let u(t) be the first derivative of 2*t**3/3 - 173*t**2 - 2896*t - 2207. Suppose u(f) = 0. What is f?
-8, 181
Let r(k) = 3*k**2 - k - 36. Let q be r(4). Let z be (((-64)/6)/q)/(1 + -3). Find i, given that 98/3 - 28/3*i + z*i**2 = 0.
7
Let x be 761 + -5 + (-4 + 10 - 3). Let m = -756 + x. Find p, given that 0*p - 2/11*p