2*k + 1)**2
Let g be ((-144)/32 + 5)/(2/(-682)). Let p = 172 + g. Determine n, given that -3/2*n**5 + 0 + p*n**3 + 0*n + 3/2*n**4 - 3/2*n**2 = 0.
-1, 0, 1
Let a be (-3)/(-5) + -5 + 15324/3510. Let c = 22/117 - a. Find m such that -2/9*m**3 + c*m - 4/9 + 4/9*m**2 = 0.
-1, 1, 2
Let f be (-34)/12 + 10/(-2) - 6. Let i = -1897/138 - f. Solve -4/23*c**2 - i*c**3 + 0 + 0*c = 0.
-2, 0
Let q(c) = 2*c**2 + 23*c + 71. Let f be q(-6). Let -40*u**4 - 38*u**4 + u**3 + f*u**2 + 0*u**2 + 73*u**4 - 4*u**3 - u**5 + 4*u = 0. Calculate u.
-4, -1, 0, 1
Let p = 2459/268 - -5/67. Let j = p + -79/12. Factor -j + 2/3*t**2 + 2*t.
2*(t - 1)*(t + 4)/3
Let s(r) = -5*r**2 - 50*r + 65. Let c(n) = -6*n + 4. Let m(q) = 5*c(q) + s(q). Find j such that m(j) = 0.
-17, 1
Let f(m) be the second derivative of m**5/20 + 425*m**4/12 + 3*m + 283. Factor f(w).
w**2*(w + 425)
Let b(m) be the third derivative of -1/1176*m**8 - 2/735*m**7 + 1/105*m**5 - m - 2*m**2 + 1/105*m**6 + 0 - 1/28*m**4 + 0*m**3. Solve b(d) = 0.
-3, -1, 0, 1
Let q(m) = 14*m**2 - 128*m + 1224. Let k(y) = -6*y**2 + y. Let c(o) = -2*k(o) - q(o). Solve c(b) = 0 for b.
12, 51
Suppose 3*b - 12 = -3*a + 24, a = 4*b - 28. Let q be 46/b - 2/10*25. Factor 3/8*j**2 - 9/8 + q*j.
3*(j - 1)*(j + 3)/8
Let p(t) be the first derivative of t**6 - 16*t**5/5 - 179*t**4/2 - 824*t**3/3 - 4*t**2 + 480*t + 3483. Let p(l) = 0. What is l?
-4, -3, -1, 2/3, 10
Let m(y) = y**2 + 57*y - 158. Let l(h) = 2*h**2 + 168*h - 472. Let q(t) = 4*l(t) - 11*m(t). Factor q(b).
-3*(b - 10)*(b - 5)
Let o(z) = -435*z + 2175. Let i be o(5). Let s(r) be the first derivative of 1/3*r**3 - 2/15*r**5 + i*r + 1/12*r**4 + 11 + 0*r**2. Factor s(u).
-u**2*(u + 1)*(2*u - 3)/3
Let r(v) be the third derivative of -6*v**2 + v - 3/5*v**5 + 0*v**4 + 1/210*v**7 + 0 + 0*v**3 + 2/15*v**6. Find x such that r(x) = 0.
-18, 0, 2
Let d be 6 - 15*(-12)/30. Let v(h) be the third derivative of 0*h**3 + 0*h + 1/12*h**5 + 0 - 1/120*h**6 - 1/6*h**4 + d*h**2. Factor v(b).
-b*(b - 4)*(b - 1)
Let o(c) be the first derivative of -7*c**5/2 + 10*c**4 - 55*c**3/6 + 5*c**2/2 + 161. Factor o(y).
-5*y*(y - 1)**2*(7*y - 2)/2
Let i = -75 - -73. Let c be 20/6*-1*3/i. Factor -8 - 12*l**3 + 12*l + 8*l**2 + 4*l**4 - 9*l**2 + c*l**2.
4*(l - 2)*(l - 1)**2*(l + 1)
Let v(k) = 4*k**2 + 5*k - 22. Let a(o) = -11*o**2 - 16*o + 67. Let s(x) = -3*a(x) - 8*v(x). Let n be s(-11). Factor -8*l + 10 + 7*l - 2*l**2 + l - n*l.
-2*(l - 1)*(l + 5)
Let x be (66/(-110))/(39/65). Let o(h) = -3 + 3 + h**3. Let v(d) = -3*d**5 - 15*d**4 - 28*d**3 - 12*d**2. Let n(c) = x*v(c) - 4*o(c). Factor n(y).
3*y**2*(y + 1)*(y + 2)**2
Suppose 3*r + 0*d - 4*d = 20, 2*d + 4 = 0. Find z, given that 3*z**r + 10 - 103*z**4 + 5*z - 12*z**2 - 215*z**3 - 108*z**2 = 0.
-1, -2/5, 1/4
Suppose 2*c = 12*c - 80. Suppose -4*r = -5*j - 20, 0 = 4*r - 0*r - 2*j - c. Factor -2/5*u - 2/5*u**2 + r.
-2*u*(u + 1)/5
Let r be ((-20978)/(-476) - 44) + 5/126. Factor -20/9*n + 100/9 + r*n**2.
(n - 10)**2/9
Let f(u) = -u**3 + 5*u**2 + 895. Let y be f(0). Suppose -y*t**2 - 5/2*t**4 + 1530*t - 1445/2 + 90*t**3 = 0. What is t?
1, 17
Let i = 32510 - 32507. Determine b so that -1/2*b + 0 + 0*b**i + 1/2*b**5 + b**4 - b**2 = 0.
-1, 0, 1
Let u(h) = h + 2. Let l(q) = q**2 + 21*q - 2. Let g = 597 - 592. Let n(z) = g*l(z) + 5*u(z). Solve n(a) = 0 for a.
-22, 0
Let w(j) be the second derivative of 7*j**6/45 + 13*j**5/6 + 10*j**4/3 - 100*j**3/9 - 32*j**2/3 + 4*j + 46. Find r, given that w(r) = 0.
-8, -2, -2/7, 1
Solve -1/6*z**2 + 9 + 5/2*z = 0 for z.
-3, 18
Suppose -13*j + 9*j - 5*x - 6 = 0, 5*x + 10 = -5*j. Let n be (-2)/(4/(-7)) - (j + 0). Factor -21/2*f**3 + n*f**4 + 0 + 0*f + 9/2*f**2 - 3/2*f**5.
-3*f**2*(f - 3)*(f - 1)**2/2
Let r = -57 - -68. Suppose -3*y - 11 = -4*w + 22, 2*y = -w + r. Suppose 103*g + w + 21 - 107*g - 6 - 4*g**2 = 0. Calculate g.
-3, 2
Let c(q) be the second derivative of -q**6/240 + 19*q**5/10 - 361*q**4 - 73*q**3/6 - 3*q + 9. Let t(d) be the second derivative of c(d). Factor t(u).
-3*(u - 76)**2/2
Let d(l) be the third derivative of -l**7/1680 + l**6/480 + 19*l**5/480 - 5*l**4/48 + 436*l**2. Determine o, given that d(o) = 0.
-4, 0, 1, 5
Suppose y = 2 + 3, -4*o - 3*y = -79. Suppose 0 = -3*i - 2*f + 10, 0*f - o = -5*i - 3*f. Factor -4*u**4 + 1 - 8*u**5 + 1 - 4*u**3 + 2*u**i + 5*u + 7*u**5.
-(u - 1)*(u + 1)**3*(u + 2)
Let z(c) be the first derivative of -20*c**3/3 - 7295*c**2/2 + 1825*c - 119. What is b in z(b) = 0?
-365, 1/4
Let c(m) be the third derivative of 13*m**8/1008 + 3*m**7/35 + 73*m**6/360 + m**5/5 + m**4/18 - 2*m**2 - 258*m. Let c(a) = 0. What is a?
-2, -1, -2/13, 0
Let h(o) = 3*o + 147. Let d be h(6). Let 15*m**4 + 15*m**2 - 85*m**3 + d*m + m**2 + 50 - m**2 + 0 = 0. Calculate m.
-1, -1/3, 2, 5
Let b(i) = -i**2 - 28*i - 45. Let a be b(-28). Let x(m) = 3*m**2 - 43*m + 68. Let p(f) = -65*f**2 + 945*f - 1495. Let w(q) = a*x(q) - 2*p(q). Factor w(u).
-5*(u - 7)*(u - 2)
Let b(y) = -y**3 + 7*y**2 + 8*y + 4. Let m be b(8). Suppose -f = -3*f + m. Factor f*o**2 + o**4 - o**3 - o**2 + 4*o - 5*o**2.
o*(o - 2)*(o - 1)*(o + 2)
Let f(s) be the third derivative of -s**7/90 - 8*s**6/15 + 14*s**5/15 + 13*s**4/8 - 86*s**2. Let t(r) be the second derivative of f(r). Factor t(p).
-4*(p + 14)*(7*p - 2)
Let d = -67 - -80. Suppose 4 = -3*f + d. Factor -6*r**3 + 9*r**2 - 3*r**3 + 9*r**2 + 11*r**f.
2*r**2*(r + 9)
Let a(b) be the third derivative of b**6/40 + 23*b**5/4 - 237*b**4/8 - 351*b**3/2 - 5*b**2 + 10*b + 29. Let a(u) = 0. What is u?
-117, -1, 3
Let k be ((-6)/2)/(6 - 7). Let x be k/4 - (-5)/4. Let -12*a**3 + 0 + 3*a**2 - 3*a**4 - 12*a - 11*a**2 - 10*a**x - 3 = 0. Calculate a.
-1
Let m(h) = -42*h**3 - 250*h**2 - 424*h - 204. Let k(g) = -43*g**3 - 250*g**2 - 421*g - 206. Let s(x) = -3*k(x) + 2*m(x). Suppose s(q) = 0. Calculate q.
-3, -14/9, -1
Let d(l) be the second derivative of l**5/60 - l**4/3 - 3*l**3/2 + 21*l**2/2 - 6*l + 11. Let n(k) be the first derivative of d(k). Factor n(r).
(r - 9)*(r + 1)
Let c(g) = -g**2 - 2*g + 5. Let h be c(-3). Factor -26*a + 1488*a**h - 1480*a**2 + 8*a - 6*a + 2*a**3.
2*a*(a - 2)*(a + 6)
Let -105*g + 1/2*g**4 + 0 + 17*g**3 - 41/2*g**2 = 0. What is g?
-35, -2, 0, 3
Let k be (-130)/(-78) - 1/3*(25 + -24). Let c(y) be the first derivative of 0*y**2 + 0*y + 4/5*y**5 - 1/2*y**4 + 1/3*y**6 - k*y**3 + 16. Factor c(j).
2*j**2*(j - 1)*(j + 1)*(j + 2)
Let x = -682 - -979. Let j = x + -295. Suppose 18*b + 54 + 3/2*b**j = 0. What is b?
-6
Let k(b) be the second derivative of b + 0*b**2 - 1/10*b**6 - 3/20*b**5 + 151 + 1/2*b**4 + 0*b**3. Suppose k(p) = 0. What is p?
-2, 0, 1
Suppose -4 = 6*z + 24*z - 94. Let o(y) be the second derivative of 3/7*y**2 + 1/70*y**5 + 0 - z*y + 1/3*y**3 + 5/42*y**4. Let o(h) = 0. Calculate h.
-3, -1
Let q be 7/(-4)*26*((-60)/(-14) + -5). Let n(d) be the first derivative of 5/4*d**4 - 35/3*d**3 - 30*d + 27 + d**5 - q*d**2. Find m such that n(m) = 0.
-2, -1, 3
Let s(w) be the first derivative of w**5 - 45*w**4/2 - 95*w**3/3 + 1275. Solve s(y) = 0 for y.
-1, 0, 19
Let z = -1073 + 1073. Let j(p) be the first derivative of z*p + 3/4*p**4 - 3/2*p**3 + 3/10*p**5 + 0*p**2 - 12. Factor j(h).
3*h**2*(h - 1)*(h + 3)/2
Let c(a) = -997*a + 2995. Let q be c(3). Find k, given that 1/3*k**5 + 2/3*k - 1/3*k**q - k**3 + 0 + 1/3*k**2 = 0.
-1, 0, 1, 2
Let w(c) = 11*c**2 - 3349*c - 3402. Let b(o) = -10*o**2 + 3350*o + 3395. Let r(s) = 6*b(s) + 5*w(s). Factor r(i).
-5*(i - 672)*(i + 1)
Let w(r) be the first derivative of 1034*r**3/3 - 519*r**2 + 4*r - 377. Find q such that w(q) = 0.
2/517, 1
Determine w, given that 264/5 + 3/5*w**2 - 138/5*w = 0.
2, 44
Let i be 15/100*152*2/27. Let d = i - 8/9. Factor 3/5*r**5 + 4/5*r - 1/5*r**4 - 11/5*r**3 - d + 9/5*r**2.
(r - 1)**3*(r + 2)*(3*r + 2)/5
Let v be (9/(-8))/(34/(-68)). Let j(a) be the third derivative of 29*a**2 + 1/40*a**6 - 1/40*a**5 + 0*a - 9/8*a**4 + 0 + v*a**3. Factor j(n).
3*(n - 3)*(n + 3)*(2*n - 1)/2
Let g be (2/(-3))/(-3 + 32/12). Factor -13732 + 6*p + 13732 + g*p**2.
2*p*(p + 3)
Let u(o) be the second derivative of 0*o**2 - 1/3*o**3 - 39*o + 1/20*o**5 + 0*o**6 + 0*o**4 - 1/336*o**7 + 3. Suppose u(g) = 0. What is g?
-2, 0, 2
Let w(a) = -a**3 - 5*a. Let u(v) = 2*v**3 - v**2 + 11*v. Let q = 141 - 127. Let l(z) = q*w(z) + 6*u(z). Suppose l(h) = 0. What is h?
-2, -1, 0
Suppose -3*k + 1