 = 190*c**2 + 1011*c. Let t(a) = 163*a**2 + 1009*a. Let q(h) = -6*n(h) + 7*t(h). Solve q(r) = 0.
-997, 0
Let p be (9895/17811)/((-1)/(-102)). Solve 5/3*i**3 - p*i**2 + 0 + 1445/3*i = 0.
0, 17
Let y be (-2)/(-39) - (-258)/(-5031). Let n be y/((5 - 26)/7). Factor 3/5*x**3 + n*x + 0 + 27/5*x**2.
3*x**2*(x + 9)/5
Let a(y) = 3*y**3 - 48*y**2 + 246*y - 132. Let z(i) = 6*i**3 - 96*i**2 + 469*i - 264. Let q(b) = 5*a(b) - 3*z(b). Let q(d) = 0. Calculate d.
1, 4, 11
Let x be 12/12*(7 + (4 - 5)). Suppose -215 + 0 = -5*q. Factor 2*w - 19*w + q*w + 2 - x - 12*w**2.
-2*(w - 2)*(6*w - 1)
Let x(s) = -17*s**2 - 300*s + 1645. Let z(p) = -14*p**2 - 304*p + 1646. Let v(d) = -4*x(d) + 5*z(d). Solve v(o) = 0.
-165, 5
What is n in -74/3*n**3 - 62/3*n**2 - 8/3*n + 0 + 123/2*n**4 - 27/2*n**5 = 0?
-2/9, 0, 1, 4
Let h(j) be the second derivative of 5*j**7/42 + 37*j**6/5 + 359*j**5/10 + 218*j**4/3 + 151*j**3/2 + 41*j**2 - 2*j + 77. Suppose h(q) = 0. What is q?
-41, -1, -2/5
Let k be (1 + 1)*(49/7 + -2). Suppose 6*x - x = k. Solve -2*a + 3*a**x - 3*a - 2*a**2 = 0 for a.
0, 5
Let h be (3/11)/((-654)/(-7194)). Suppose 16/3 - 4*b**2 + 8/3*b - 10/3*b**h - 2/3*b**4 = 0. Calculate b.
-2, 1
Let w(g) be the first derivative of -25/9*g**4 - 32*g**2 + 44 + 160/9*g**3 + 0*g. Factor w(c).
-4*c*(5*c - 12)**2/9
Let g(n) be the third derivative of 2*n**2 + 0*n**3 - 8*n - 5/16*n**4 - 1/160*n**5 + 0. Let g(i) = 0. Calculate i.
-20, 0
Let s be (-1 + 0 + 2)/(2/4). Suppose -4*q = 3*c - 21, s*q - 9 = -2*c + q. Determine v, given that -14*v**2 - 11 - 3*v**3 - v + 9 - 3*v**c - 9*v = 0.
-1, -1/3
Let p(b) be the third derivative of b**6/2160 + 7*b**5/360 + 49*b**4/144 + 56*b**3/3 + 117*b**2. Let v(q) be the first derivative of p(q). Factor v(d).
(d + 7)**2/6
Suppose 4*x = -f - 28 - 0, 4*x = -3*f - 28. Let t(r) be the third derivative of f*r**3 + 1/72*r**4 + 0*r + 0 + 17*r**2 - 1/180*r**5. Factor t(b).
-b*(b - 1)/3
Let i(j) be the first derivative of 5*j**4/4 + 145*j**3/3 + 70*j**2 + 1565. Determine k so that i(k) = 0.
-28, -1, 0
Let j(p) be the first derivative of p**5/30 - 47*p**4/12 + 46*p**3/3 + 91*p**2 + 67. Let b(t) be the second derivative of j(t). Suppose b(m) = 0. What is m?
1, 46
Let d(n) = -9*n**4 - 4*n + 2*n**3 - 350 + 17*n + 349. Let m(r) = r**4 - 2*r**3 - r + 1. Let i(u) = d(u) + 5*m(u). Factor i(b).
-4*(b - 1)*(b + 1)**3
Let q = 699197/3 - 233065. Factor -1/2*v + 1/6*v**5 + 0 + 1/3*v**3 + 2/3*v**4 - q*v**2.
v*(v - 1)*(v + 1)**2*(v + 3)/6
Let m be (10/35*28 - 3)*16/40. Factor -8/5*u + 4/5*u**m - 12/5.
4*(u - 3)*(u + 1)/5
Let c(d) be the second derivative of -d**6/420 + d**5/84 - d**4/42 + d**3/3 - 7*d**2/2 - 70*d. Let t(m) be the second derivative of c(m). Factor t(w).
-2*(w - 1)*(3*w - 2)/7
Factor -16*x**2 - 9*x + 7*x**2 + 6*x**2 + 0 + 18 + 24*x.
-3*(x - 6)*(x + 1)
Let t(b) be the second derivative of 57/14*b**3 + 0*b**2 + 0 + 1/28*b**4 - 15*b. Suppose t(s) = 0. Calculate s.
-57, 0
Let 27*i - 6*i**4 - 5*i**5 - 5*i**3 - 11*i**3 + 59*i**2 - 54 + i**2 + 8*i**5 - 14*i**3 = 0. What is i?
-3, -1, 1, 2, 3
Factor -378*k + 0 + 16 - 426*k + 28*k**2 + 760*k.
4*(k - 1)*(7*k - 4)
Let k(u) be the third derivative of 2*u**7/525 + 37*u**6/600 - u**5/4 + 23*u**4/120 + 11*u**3/30 - 61*u**2 - 6. Let k(w) = 0. What is w?
-11, -1/4, 1
Determine l, given that 3040/7*l**2 + 3200/7*l + 2/7*l**4 - 158/7*l**3 + 0 = 0.
-1, 0, 40
Let q(u) be the second derivative of u**6/30 - 259*u**5/20 + 5459*u**4/4 + 50959*u**3/6 + 17161*u**2 + 2224*u. What is l in q(l) = 0?
-2, -1, 131
Let c(u) = -2*u**2 + 18*u - 11. Let h = 31 + -23. Let n be c(h). Let -17*y - 24*y**2 + 2 + 8 + 2*y**2 + n*y**3 = 0. What is y?
-1, 2/5, 5
Let p(r) be the second derivative of 0*r**4 - 1/2*r**2 - 4*r - 1/10*r**5 + 1/3*r**3 + 1/30*r**6 + 21. Factor p(z).
(z - 1)**3*(z + 1)
Let g(c) be the third derivative of c**7/840 + c**6/36 - 7*c**5/120 - c**4/6 - 18*c**2 + c. Let x(k) be the second derivative of g(k). What is r in x(r) = 0?
-7, 1/3
Let u be (378 + -380)/((-3)/1). Let u*j**2 + 52*j + 1014 = 0. What is j?
-39
Let i(l) = -16*l**2 - 193*l - 1323. Let g(f) = -86*f**2 - 960*f - 6616. Let b(w) = -3*g(w) + 16*i(w). Factor b(h).
2*(h - 110)*(h + 6)
Let y = 467 + -205. Let a = y - 115. Determine j, given that 90*j - 2082*j**2 - 258 - a + 2077*j**2 = 0.
9
Suppose -3*q + 18 = 4*v, -4*v + 18 = 6. Suppose 6*w + q*w = 16. Factor -2*l**w - l + l**5 + 31*l**4 - 29*l**4 + 0*l**5.
l*(l - 1)*(l + 1)**3
Let n(o) be the third derivative of o**6/40 - 12*o**5/5 + 96*o**4 - 2048*o**3 - 9*o**2 + 51. Suppose n(v) = 0. What is v?
16
Determine g so that 668*g**3 - 676*g**4 - 32361*g + 432*g**2 - 112*g**2 + 4*g**5 + 356*g**2 + 31689*g = 0.
-1, 0, 1, 168
Solve 3*n - 79*n - 576 - 4*n**3 + 283*n**2 - 109*n - 187*n - 83*n**2 = 0 for n.
-1, 3, 48
Let n(g) be the third derivative of -g**5/100 + 29*g**4/40 + 66*g**3/5 + 17*g**2 - 15. Factor n(b).
-3*(b - 33)*(b + 4)/5
Factor 1/4*w**3 - 15/2*w**2 - 277/4*w + 333/2.
(w - 37)*(w - 2)*(w + 9)/4
Suppose 1045*i - 2100*i = -1044*i - 286. Let l(f) be the first derivative of -100/7*f + 20/7*f**2 + i - 4/21*f**3. Factor l(q).
-4*(q - 5)**2/7
Factor 376/5*p**3 + 0*p**2 + 0*p + 184/5*p**4 - 2/5*p**5 + 0.
-2*p**3*(p - 94)*(p + 2)/5
Let i(m) = 19*m**2 + 35*m + 1. Let b be i(-2). Let n(y) be the first derivative of 0*y - b + 1/13*y**2 + 2/39*y**3. Factor n(h).
2*h*(h + 1)/13
Let o(m) be the third derivative of -m**8/1428 + 9*m**7/595 + 7*m**6/510 + 883*m**2. Determine a so that o(a) = 0.
-1/2, 0, 14
Let g(k) be the third derivative of k**7/840 + k**6/15 - 109*k**5/240 - 35*k**4/24 - 3365*k**2. Factor g(z).
z*(z - 4)*(z + 1)*(z + 35)/4
Let y be 9/(-5)*((-152)/24 + 3). Let w(c) be the third derivative of -128/21*c**3 - 4/35*c**5 + 8/7*c**4 + 1/210*c**y - 14*c**2 + 0*c + 0. Factor w(a).
4*(a - 4)**3/7
Let q(w) = 2*w**3 + 22*w**2 + 20*w + 2. Let z(u) = -45*u**2 + 163 - 41*u - 95 - 4*u**3 - 73. Let k(a) = -10*q(a) - 4*z(a). Determine c so that k(c) = 0.
-9, -1, 0
Factor -18*o - 1/2*o**3 - 10*o**2 + 0.
-o*(o + 2)*(o + 18)/2
Suppose 5*g + 2*c + 2*c + 404 = 0, 2*g + 180 = 3*c. Let j be (3/(g/8))/(1/(-7)). Solve -7*i**2 + i**j - i**2 + 6*i**2 = 0.
0
Let k(o) = o**2 - 2*o - 1. Let q be k(-1). Let a = -25412 - -25412. Let 0 - 1/3*y**4 + 0*y + 1/9*y**3 - 4/9*y**5 + a*y**q = 0. What is y?
-1, 0, 1/4
Suppose 2*o = 5*f + 88, 4*o - 33 = 2*f + 15. Let i = f - -17. Suppose 7*b - 6*b**2 + 10*b + i - 12*b = 0. What is b?
-1/6, 1
Suppose -74/3*r + 24 + 20/3*r**2 - 1/6*r**3 = 0. Calculate r.
2, 36
Let d(l) be the second derivative of 2*l**5/15 + 59*l**4/18 - 79*l**3/9 + 16*l**2/3 + 833*l. What is s in d(s) = 0?
-16, 1/4, 1
Let w be ((-1772)/886)/((-1)/(-2) + -1). Let s(c) = -c**3 + 13*c**2 + c - 11. Let b be s(13). Suppose -3*l**3 - 18/5*l**b + 0 + 0*l - 3/5*l**w = 0. Calculate l.
-3, -2, 0
Let s be (-483 - -483)/((-10)/(-5)). Find x such that s - 3/2*x**5 + 48*x**2 - 6*x**3 + 32*x - 10*x**4 = 0.
-4, -2/3, 0, 2
Let x(d) = -2*d**2 + 3*d + 2. Let t(w) = -3*w**2 - 2273*w - 257647. Let c(z) = -t(z) - x(z). Find s such that c(s) = 0.
-227
Let d(b) be the first derivative of 3*b**5/10 - 15*b**4/4 - 25*b**3/2 + 15*b**2/2 + 36*b - 44. Solve d(q) = 0 for q.
-2, -1, 1, 12
Let w(u) be the first derivative of -u**7/1680 + u**6/120 - 2*u**4/3 - u**3 - 15. Let s(p) be the third derivative of w(p). Find b such that s(b) = 0.
-2, 4
Let o(j) be the second derivative of -108*j + 1/48*j**4 - 17/8*j**2 + 0 + 2/3*j**3. Let o(v) = 0. What is v?
-17, 1
Suppose -5*x - 5*h + 20 = 0, 4*h - 7 = 5*x - 9. Let s be (3/84)/(x/16). Factor -4*m + 14 + s*m**2.
2*(m - 7)**2/7
Let a = 169/7360 - -3/1472. Let u(f) be the third derivative of 0 + 1/10*f**5 + 0*f**3 - a*f**6 + 0*f - 17*f**2 - 1/8*f**4. Suppose u(y) = 0. Calculate y.
0, 1
Let z(m) be the third derivative of 31*m**5/30 + 609*m**4/4 - 118*m**3/3 - m**2 + 194*m. Factor z(l).
2*(l + 59)*(31*l - 2)
Factor 936/5*g**2 - 3652/5*g + 1776/5 + 28/5*g**3.
4*(g - 3)*(g + 37)*(7*g - 4)/5
Factor -4*w + 0 + 15*w**2 + 1 + w + 3*w**3 - 21*w**2 + 5.
3*(w - 2)*(w - 1)*(w + 1)
Let r(t) be the first derivative of -2*t**3 + 3/2*t**2 + 0*t + 15/16*t**4 - 3/20*t**5 - 111. Factor r(q).
-3*q*(q - 2)**2*(q - 1)/4
Let x(o) be the third derivative of 21*o**7/5 + 1001*o**6/20 - 292*o**5/15 + 7*o**4/3 - 14*o**2 - 42. What is m in x(m) = 0?
-7, 0, 2/21
Factor 0 -