ve of 26*c**3/33 + 89*c**2/11 - 28*c/11 + 469. Factor b(i).
2*(i + 7)*(13*i - 2)/11
Let t = 90 + -87. Factor t*m**3 - 7103*m**2 + 4*m - 6 + 7109*m**2 - 7*m.
3*(m - 1)*(m + 1)*(m + 2)
Factor -1258*b**2 - 301 + 1263*b**2 + 43*b + 2381 - 268*b.
5*(b - 32)*(b - 13)
Let u(t) be the third derivative of t**6/260 + 44*t**5/195 + 29*t**4/156 - 8*t**2 - 3. Factor u(n).
2*n*(n + 29)*(3*n + 1)/13
Let a(g) be the third derivative of g**6/240 + 11*g**5/120 + 19*g**4/48 + 3*g**3/4 + 1336*g**2. Factor a(m).
(m + 1)**2*(m + 9)/2
Let c = -264 + 284. Let a be (-30)/c*(-1 + (-1)/3). Let -4/5*r**a + 12/5*r - 12/5*r**3 - 4/5*r**4 + 8/5 = 0. What is r?
-2, -1, 1
Let o(f) = 2*f**4 - 16*f**3 + 124*f**2 + 616*f + 474. Let s(h) = -h**4 + 16*h**3 - 124*h**2 - 616*h - 475. Let p(u) = -5*o(u) - 6*s(u). Solve p(c) = 0 for c.
-5, -4, -1, 6
Let w = 730 + -727. Suppose 0 = -z - 4, 13 = -w*c + z + 17. Factor 0*v**2 + c - 2/3*v**3 + 2/3*v.
-2*v*(v - 1)*(v + 1)/3
Factor -197187 + 259137 + 2034*z + 2*z**2 + 194308 + 550192 + 506*z.
2*(z + 635)**2
Let s(v) be the second derivative of 0 + 174*v - 1/4*v**3 - 5/2*v**2 + 1/24*v**4. Suppose s(w) = 0. What is w?
-2, 5
Let n(p) = p + 23. Let k be n(-6). Let h be -6 + -4 + k/(714/600). Factor h + 3*b**2 - 111/7*b.
3*(b - 5)*(7*b - 2)/7
Let a(t) be the second derivative of t**4/30 + 101*t**3/5 - 304*t**2/5 + 364*t + 1. What is m in a(m) = 0?
-304, 1
Let o(v) be the first derivative of 19*v**5/80 + 21*v**4/32 + v**3/4 + 203*v**2/2 + 241. Let w(s) be the second derivative of o(s). Find k such that w(k) = 0.
-1, -2/19
Let z(m) = -12*m + 86. Let l be z(6). Factor -18*p**2 - 11*p**2 - l*p**3 + 44*p + 5*p**3 - 8 - 8 + 5*p**2.
-(p + 4)*(3*p - 2)**2
Let r(g) be the first derivative of -4*g**3/3 - 56*g**2 - 208*g + 1677. Factor r(o).
-4*(o + 2)*(o + 26)
Let k(z) = 4*z**2 + 7*z - 23. Let m(t) = -t. Let u(b) = b**2 + 7*b - 1. Let p(y) = 5*m(y) + u(y). Let o(j) = 2*k(j) - 6*p(j). Solve o(g) = 0.
-5, 4
Let g(f) be the second derivative of -f**7/42 + f**6/30 + 7*f**5/80 + f**4/24 - 151*f. Solve g(a) = 0.
-1/2, 0, 2
Let x = -1605 - -1608. Suppose -8 = -x*d - d - 2*m, -d + 2 = -3*m. Factor -12*p**d - 8/3 - 44/3*p.
-4*(p + 1)*(9*p + 2)/3
Let x be 9/(-27) + 3/((-9)/(-55)). Suppose -45*q + 24*q**2 + 24*q - x*q**3 + 57*q**3 - 6 - 36*q**4 = 0. What is q?
-2/3, -1/4, 1
Let n(u) be the second derivative of -u**9/4032 - u**8/448 + 3*u**7/560 + 2*u**3/3 - 21*u**2/2 - u + 5. Let g(v) be the second derivative of n(v). Factor g(b).
-3*b**3*(b - 1)*(b + 6)/4
Let k be 2/(-7 + 13 - 4) - 99. Let x be -3 + (1 - 7/k*44). Find q, given that 0 - x*q + 4/7*q**4 + 8/7*q**3 - 4/7*q**2 = 0.
-2, -1, 0, 1
Let z(b) = 8*b - 34. Let w be z(5). Let -4*n**4 - 7*n**3 + 3*n**5 - 7*n**3 - n**5 - w*n**2 - 2*n**2 = 0. Calculate n.
-1, 0, 4
Suppose 514 + 406 = 46*r. Let s(b) be the second derivative of r*b + 0 - 1/21*b**7 + 1/15*b**6 + 0*b**2 + 1/10*b**5 - 1/6*b**4 + 0*b**3. What is p in s(p) = 0?
-1, 0, 1
Suppose -7*c = -6217 - 3065. Let n = c + -1326. Factor -8/9*i**4 - 4/3*i**2 + 0*i - 22/9*i**3 + n + 2/9*i**5.
2*i**2*(i - 6)*(i + 1)**2/9
Determine w, given that 2*w**2 + 26 - 5*w**3 + 26 - 77 + 31 + 14*w - w = 0.
-1, -3/5, 2
Let p(u) be the third derivative of 1/42*u**7 + 0*u**3 - 17*u**2 + 0 + 0*u**6 - 2*u + 5/2*u**4 - 13/12*u**5. Let p(m) = 0. Calculate m.
-4, 0, 1, 3
Let n be (2 - 0) + 6 + (-43 - -37). Let v(b) be the first derivative of 3/10*b**4 + 0*b**n - 14 + 0*b + 1/45*b**6 - 8/45*b**3 - 4/25*b**5. Factor v(y).
2*y**2*(y - 4)*(y - 1)**2/15
Let f be 9 - (-7 + 381 - 7). Let v = 1433/4 + f. Factor -v*z**3 + 11/4*z + 3/2 + z**2.
-(z - 6)*(z + 1)**2/4
Let f(c) be the third derivative of -c**6/30 + 18*c**5/5 - 65*c**4/2 - 500*c**3/3 - 4477*c**2. Factor f(j).
-4*(j - 50)*(j - 5)*(j + 1)
Let q(r) be the first derivative of r**4/8 - 3*r**3 + 24*r**2 - 80*r - 488. Suppose q(i) = 0. What is i?
4, 10
Suppose 1546*p**2 + 46*p**4 + 1759*p - 526*p**3 + p**5 + 640 + 1158*p + p**5 - 4625*p = 0. What is p?
-32, 1, 2, 5
Let x(b) be the first derivative of -2*b**7/105 - b**6/9 - 7*b**5/45 - 13*b**2 - 3*b - 100. Let i(k) be the second derivative of x(k). Let i(w) = 0. What is w?
-7/3, -1, 0
Suppose -41 + 48 = 33*u - 59. Let r(g) be the second derivative of -6*g**u - 1/30*g**5 + 0 - 12*g + 1/3*g**3 + 2/9*g**4. Factor r(b).
-2*(b - 3)**2*(b + 2)/3
Let l(v) be the third derivative of v**7/140 + 13*v**6/80 + 6*v**5/5 + 17*v**4/4 + 8*v**3 + 147*v**2 - 10*v. Factor l(w).
3*(w + 1)*(w + 2)**2*(w + 8)/2
Let -168/11 - 2/11*v**3 + 10/11*v + 16/11*v**2 = 0. Calculate v.
-3, 4, 7
Let o(p) = -11*p**2 + 154*p + 2286. Let k be o(-9). Find t such that 65*t + 1/3*t**3 + 169/3 + k*t**2 = 0.
-13, -1
Let q(r) be the third derivative of r**5/12 - 25*r**4/8 - 3190*r**3/3 - 9761*r**2. Factor q(u).
5*(u - 44)*(u + 29)
Let g(j) = -5*j**5 + 4*j**4 - 3*j**3 + 97*j**2 - 216. Let r(b) = -4*b**5 + 2*b**4 - 4*b**3 + 96*b**2 - 216. Let l(y) = -6*g(y) + 7*r(y). Factor l(o).
2*(o - 3)**3*(o + 2)**2
Let w = 203075/2 - 101535. Factor 6*q - w*q**2 - 1/2*q**4 + 0 - 3*q**3.
-q*(q - 1)*(q + 3)*(q + 4)/2
What is l in -225/2*l + 111*l**3 + 45/2*l**4 + 3/2*l**5 - 375/2 + 165*l**2 = 0?
-5, -1, 1
Let b(g) be the third derivative of g**7/3780 - g**6/20 + 81*g**5/20 - 6*g**4 + 7*g**2. Let r(n) be the second derivative of b(n). Find l, given that r(l) = 0.
27
Let p be ((0 + 24)/(-1))/(96/832). Let y be (-52)/p - (1 - (-33)/(-28)). Factor 0*u + 0 + 3/7*u**5 + y*u**4 - 3/7*u**2 - 3/7*u**3.
3*u**2*(u - 1)*(u + 1)**2/7
Let y(n) be the third derivative of -n**7/840 + n**6/24 - 107*n**5/240 + 55*n**4/24 - 13*n**3/2 - 4*n**2 - 4*n. Factor y(a).
-(a - 13)*(a - 3)*(a - 2)**2/4
Let o be 3726/(-207) + (22 - 2). Factor -12/5*n + 14/5 - 2/5*n**o.
-2*(n - 1)*(n + 7)/5
Let h(k) be the second derivative of -31*k**6/120 + 91*k**5/40 + 3*k**4/4 - 287*k**3/6 + 38*k. Let w(y) be the second derivative of h(y). Factor w(r).
-3*(r - 3)*(31*r + 2)
Let x(f) be the second derivative of 1/18*f**3 - 11*f - 1/60*f**6 + 0 + 0*f**2 - 1/30*f**5 + 1/72*f**4. Factor x(r).
-r*(r + 1)**2*(3*r - 2)/6
Let s be (17/(595/(-30)))/((-1164)/(-168) + -8). Suppose -196/5 - 12*y**2 - 252/5*y - s*y**3 = 0. What is y?
-7, -1
Let c(q) = 25*q**2 + 31*q - 15. Let r be c(5). Let y = r + -3059/4. Factor -11/8*l + y + 9/8*l**2.
(l - 1)*(9*l - 2)/8
Let t(b) be the first derivative of 0*b**2 + 0*b - 1/6*b**3 + 5/16*b**4 - 24. Factor t(w).
w**2*(5*w - 2)/4
Let b(w) = 35*w**4 - 4870*w**3 - 4845*w**2 + 15. Let s(z) = 5*z**4 - 695*z**3 - 692*z**2 + 2. Let m(r) = 2*b(r) - 15*s(r). Determine l so that m(l) = 0.
-1, 0, 138
Suppose -27/4*d**2 - 9/4*d**4 - 25/4*d**3 - 5/2*d - 1/4*d**5 + 0 = 0. Calculate d.
-5, -2, -1, 0
Let n = -57386 - -401704/7. Suppose -4*c = -2*g + 8, 20 = -7*c + 2*c + 5*g. Factor c + 8/7*b + 10/7*b**2 + n*b**3.
2*b*(b + 1)*(b + 4)/7
Let u(o) = -4*o**2 - 6*o - 5. Let m be u(-5). Let a be (m/10)/(-3)*12/10. Find t, given that 4*t**a - 25*t + 101*t + 24*t**2 - 40*t = 0.
-3, 0
Factor 6658*b**3 + 143*b**4 + 118*b**4 - 6922*b**3 + 3*b**5.
3*b**3*(b - 1)*(b + 88)
Factor -16*m**2 - 307164 - 18*m + 7*m + m**3 + 307890.
(m - 11)**2*(m + 6)
Let v(b) = -331*b**2 - 1301*b - 95. Let j(x) = 166*x**2 + 651*x + 50. Let n(c) = -11*j(c) - 6*v(c). Suppose n(a) = 0. What is a?
-4, -1/32
Let c(w) be the second derivative of -17/12*w**4 - 32*w**2 + 1/20*w**5 + 1 - 26*w + 40/3*w**3. Find v such that c(v) = 0.
1, 8
Let v = 631 - 683. Let n be (v - -40)*22/(-30). Determine u, given that -8/5*u**5 + 16/5*u - 28/5*u**4 - 16/5 + n*u**2 - 8/5*u**3 = 0.
-2, -1, 1/2, 1
What is f in 4/3*f**4 + 264 + 1010*f + 2116/3*f**2 - 2*f**5 + 464/3*f**3 = 0?
-4, -3, -1/3, 11
Let u(j) = 37*j**2 - 66*j - 155. Let w(h) = 20*h**2 - 36*h - 78. Let l(r) = 6*u(r) - 11*w(r). Let l(g) = 0. Calculate g.
-6, 6
Suppose -340*j = -422*j + 164. Let t(q) be the first derivative of 4*q + 2/3*q**6 - 12/5*q**5 - 6*q**j + 15 + 8/3*q**3 + 2*q**4. What is o in t(o) = 0?
-1, 1
Factor 24*h + 74*h**2 - 22*h - 111*h**2 - 4 - 78*h.
-(h + 2)*(37*h + 2)
Let d be (-40)/(-18) - (2 + 0). Let v = 42574/9 - 4730. Suppose v*u**2 - 2/9 + d*u = 0. What is u?
-1, 1/2
Let t be 159/1407 + 30/1005. Solve 2*g**3 + 0 - 128/7*g + t*g**4 + 32/7*g**2 = 0 for g.
-8, 0, 2
Let t(l) be the first derivative of 69 + 1/10*l**4 - 4/5*l**2 + 0*l - 8/15*l**3 + 2/25*l**5. Suppose t(w) =