1)**2/6
Let l(t) = -2*t**2 - 5405*t - 16194. Let m be l(-3). Suppose -1/2*f**m + 3*f**2 + 0 - 5/2*f = 0. Calculate f.
0, 1, 5
Let n(f) be the second derivative of f**5/240 - f**4/96 - f**3/4 + 73*f**2/2 - 181*f. Let b(r) be the first derivative of n(r). Let b(u) = 0. Calculate u.
-2, 3
Factor 22*n**3 - 28*n**4 - 28*n**3 + 25*n**4.
-3*n**3*(n + 2)
Let o(w) be the first derivative of -w**3/15 - 227*w**2/10 + 232*w + 6522. Factor o(s).
-(s - 5)*(s + 232)/5
Let l(f) = -f - 1. Let x be l(-6). Suppose -x*w = 3*a + 8, -9 = 3*a - 4*w - 37. Factor 2*r**3 - r**4 + 16*r**2 + 12*r + 5*r**3 - 4*r**4 + 6*r**a.
r*(r + 2)**2*(r + 3)
Let u(d) be the third derivative of 11/51*d**3 + 1/1020*d**6 + 3/170*d**5 - 7/68*d**4 + 7*d**2 - 2*d + 0. Factor u(s).
2*(s - 1)**2*(s + 11)/17
Suppose -13*v + 16 = -283. Suppose v*g = 14*g + 27. Factor 0 + 8/7*n**4 + 12/7*n**5 + 0*n**2 + 0*n + 0*n**g.
4*n**4*(3*n + 2)/7
Let -3*h**3 + 3*h + 17/5*h**4 - 19/5*h**2 + 2/5 = 0. What is h?
-1, -2/17, 1
Let i(d) = 7*d**3 - 6*d**2 + 3*d. Let m(k) = -48*k**2 + 35344 - 35344 + 24*k + 57*k**3. Suppose -11*f + 456 = 93. Let p(q) = f*i(q) - 4*m(q). Factor p(z).
3*z*(z - 1)**2
Let h(l) be the first derivative of -107 + 2/15*l**3 + 16/5*l**2 + 56/5*l. Suppose h(w) = 0. What is w?
-14, -2
Let u be 6/(-108)*-74 - 4. Let r(b) be the first derivative of 1/3*b**2 - 2/9*b - 14 + 2/15*b**5 - 1/27*b**6 - u*b**4 - 4/27*b**3. Factor r(g).
-2*(g - 1)**4*(g + 1)/9
Let t(r) = -11*r**3 + 33*r**2 + 188*r + 144. Let o(i) = 25*i**3 - 68*i**2 - 381*i - 288. Let f(h) = -4*o(h) - 9*t(h). Solve f(b) = 0.
-12, -1
Suppose -2*k - 3*f - 501 = k, -4*k = -2*f + 680. Let n = 171 + k. Factor 8/7 - 30/7*y**n + 8/7*y**3 + 24/7*y.
2*(y - 2)**2*(4*y + 1)/7
Let k(m) be the second derivative of m**7/210 - 7*m**6/50 - 19*m**5/20 - 41*m**4/20 - 5*m**3/3 - 940*m. What is s in k(s) = 0?
-2, -1, 0, 25
Let n = 2/1027 + 2040/7189. Let o(p) be the second derivative of 16/21*p**6 + 4/35*p**5 - 17/14*p**4 - 9*p + 19/21*p**3 + 0 - n*p**2. Find t such that o(t) = 0.
-1, 1/4, 2/5
Let g(o) be the second derivative of -1/12*o**4 + 0 - 5/2*o**3 + 8*o**2 + 88*o. Let g(p) = 0. What is p?
-16, 1
Let t be -17 + (468/(-18) - -46). Let l(b) be the first derivative of 1/3*b**t + 11*b + 6*b**2 + 25. Factor l(k).
(k + 1)*(k + 11)
Let r(y) = -23*y + 24*y**2 + 62*y - y**3 + 4*y**2 - 167 - 10*y**2 + 15*y**2. Let o be r(34). Factor 0*z - 8/3 - 2/3*z**o + 2*z**2.
-2*(z - 2)**2*(z + 1)/3
Let x = -18 - -37. Let -x*t**3 + 13 + 5 - 23*t**3 - 56*t - 184*t**2 + 14 = 0. What is t?
-4, -2/3, 2/7
Let q(s) = -7*s**5 + 67*s**4 - 927*s**3 + 4755*s**2 - 9072*s + 5220. Let p(d) = -d**5 + 2*d**4 - d**2 + 6. Let z(a) = -6*p(a) + q(a). Let z(c) = 0. What is c?
1, 3, 24
Let n(t) be the third derivative of -t**7/315 + t**6/5 - 27*t**5/10 - 3*t**4 + 324*t**3 - 2*t**2 + 689*t - 1. Let n(f) = 0. What is f?
-3, 6, 27
Let h(r) be the third derivative of -r**7/42 - 7*r**6/8 - 33*r**5/4 + 605*r**4/24 + 2107*r**2. Suppose h(q) = 0. What is q?
-11, 0, 1
Let n(q) = -q**2 - 289*q + 3616. Let u be n(12). Factor 2/5*d**u - 12/5 - 2/5*d**3 + 26/5*d - 14/5*d**2.
2*(d - 2)*(d - 1)**2*(d + 3)/5
Let h = 251861/4 - 62963. Factor 3/4*a**3 - 15/4*a**2 + 21/4*a - h.
3*(a - 3)*(a - 1)**2/4
Let q be (1 - 1)/(0 - -2) + 3. Let t(z) = 105*z**2 + 795*z + 1130. Let a(m) = 8*m**2 + 61*m + 87. Let c(v) = q*t(v) - 40*a(v). Factor c(n).
-5*(n + 2)*(n + 9)
Let i = -146148 - -146150. Let c be (-6)/14*(-4)/6. Factor -2/7 - 6/7*w**i - c*w**3 - 6/7*w.
-2*(w + 1)**3/7
Let j = 207/15700 - 1/314. Let o(p) be the second derivative of 14*p + 0*p**2 + 2/15*p**3 - j*p**5 + 0*p**4 + 0. Factor o(b).
-b*(b - 2)*(b + 2)/5
Let x = -1244 + 4991/4. Let l(u) be the second derivative of -15*u + 40/9*u**4 + 0 + 20/3*u**3 + x*u**2. Let l(p) = 0. What is p?
-3/8
Let p(l) be the third derivative of -l**5/30 - 10*l**4/3 + 24*l**2 + 21. Factor p(f).
-2*f*(f + 40)
Let z be 412/((-4)/(-16)*8). Determine y so that -60*y**2 + z*y - 196 + 4*y**3 + 4*y - 138*y + 180*y = 0.
1, 7
Let x(n) = -61*n**2 - 919*n - 58. Let t be x(-15). Let v(u) be the third derivative of 11/40*u**6 - 12*u**t - u**5 + 0*u + 0 - 1/2*u**4 + 0*u**3. Factor v(h).
3*h*(h - 2)*(11*h + 2)
Let g(l) be the first derivative of -1/6*l**6 + 0*l**5 + 0*l + 2/3*l**3 + 0*l**2 - 43 + 3/4*l**4. Find d, given that g(d) = 0.
-1, 0, 2
Let q(b) be the second derivative of b**4/12 + 14*b**3/3 + 26*b**2 - 503*b. What is g in q(g) = 0?
-26, -2
Let q = -391282/3 - -130428. Suppose 0 + 8/3*r - q*r**4 + 0*r**2 - 2*r**3 = 0. Calculate r.
-2, 0, 1
Let s(z) be the first derivative of 215 + 2/5*z**5 + 0*z**2 - 8/3*z**3 + 0*z + 0*z**4. Factor s(l).
2*l**2*(l - 2)*(l + 2)
Suppose -2*l - 3*q + 4*q = -16, -14 = -3*l - q. Suppose -l*u + 8 = -2*u. Factor 15*p + 5*p**u + 10 + 0*p**2 - p**2 + p**2.
5*(p + 1)*(p + 2)
Let z = 127 + -123. Let d(y) be the first derivative of 2*y**2 + 17 - y**4 - 4/3*y**3 + z*y. Factor d(r).
-4*(r - 1)*(r + 1)**2
Let t be (-248)/(-372)*(18/32)/3. Find l, given that -t*l**2 + 0 - 1/8*l**3 + 1/8*l**4 + 1/8*l = 0.
-1, 0, 1
Let n be (-3)/(3 + 6) + (-1174)/24. Let x = n + 1001/20. Factor 12/5 - x*f - 12/5*f**2 + 4/5*f**3.
4*(f - 3)*(f - 1)*(f + 1)/5
Let x = -2707607/65 - -41657. Let d(m) be the first derivative of -63/13*m**4 + 218/39*m**3 + 7 + x*m**5 + 8/13*m - 36/13*m**2. Factor d(z).
2*(z - 1)**2*(7*z - 2)**2/13
Suppose -721 + 240*l - 60*l**2 + 436*l - 503 = 0. Calculate l.
34/15, 9
Factor -11414642/3 - 19021218*r - 142587469/6*r**2 - 25/6*r**4 + 19905*r**3.
-(r - 2389)**2*(5*r + 2)**2/6
Let u(f) = -10*f**2 - 36*f + 2929. Let d be u(-19). Factor 48 - 9*x**2 - 3/2*x**d + 0*x.
-3*(x - 2)*(x + 4)**2/2
Let f(c) be the third derivative of c**8/4200 - c**7/1260 + c**6/1800 + 5*c**4/24 - 5*c**3/6 - 74*c**2. Let r(o) be the second derivative of f(o). Factor r(g).
2*g*(g - 1)*(4*g - 1)/5
What is y in 712/5*y - 228/5*y**2 - 96 - 4/5*y**3 = 0?
-60, 1, 2
Determine r, given that 554/5*r + 2/5*r**2 + 552/5 = 0.
-276, -1
Let g(y) be the first derivative of y**6/24 + y**5/2 + 25*y**4/24 - 6*y**2 + 2*y - 14. Let i(f) be the second derivative of g(f). Solve i(h) = 0.
-5, -1, 0
Let c(i) = i**2 - 10*i + 17. Let r be c(7). Let d be (2 + 2)/(r + 6). Factor -16 + 7 - 1 + 4*y + d*y**2 - 12*y.
2*(y - 5)*(y + 1)
Let x be ((28 - 4) + 6)*112/12. Factor 147*g + 32 - x*g - 4*g**2 + 141*g.
-4*(g - 4)*(g + 2)
Let d(p) = -p**4 + p**3 + 2*p**2 - 12*p + 2. Let j(h) = 2*h**4 - 1955*h**3 + 1947*h**2 + 36*h - 6. Let q(f) = -6*d(f) - 2*j(f). Find r, given that q(r) = 0.
-1953, 0, 1
Solve 208*d - 104*d**4 + 132*d**2 + 307*d**2 - 4*d**5 - 48*d**3 + 60*d**3 - 119*d**2 = 0.
-26, -1, 0, 2
Let g(u) be the third derivative of -u**6/480 + 211*u**4/96 + 35*u**3/4 - 10*u**2 - 165. Determine h, given that g(h) = 0.
-14, -1, 15
Let o = 802 + -800. Suppose -6*r + 4*r = -u, -o*r = -4*u. Suppose r*c**2 + 0 - 4/5*c**5 + 0*c + 8/5*c**3 + 4/5*c**4 = 0. Calculate c.
-1, 0, 2
What is k in 380/7*k**2 - 17664/7*k - 36864/7 - 2/7*k**3 = 0?
-2, 96
Let q(k) be the first derivative of 4*k**5/5 + 60*k**4 + 1348*k**3 + 6608*k**2 + 9408*k - 2852. Find a such that q(a) = 0.
-28, -3, -1
Factor 198/5*a - 3/5*a**2 + 408/5.
-3*(a - 68)*(a + 2)/5
Let d(t) be the second derivative of t**4/4 + 2503*t**3 + 18795027*t**2/2 + 4*t - 88. Find h, given that d(h) = 0.
-2503
Let b be (-330)/(-114) + 8/76. Factor 429*j**2 + 0*j - 420*j**2 + 0*j - b*j**3.
-3*j**2*(j - 3)
Let o(d) = -d**2 - 3. Let f(j) = 9*j**2 - 44*j + 135. Let p(x) = 2*f(x) + 14*o(x). Suppose p(z) = 0. Calculate z.
3, 19
Let m(a) be the second derivative of -a**5/230 + 5*a**4/138 + 8*a**3/69 - 12*a**2/23 - 47*a - 9. Factor m(n).
-2*(n - 6)*(n - 1)*(n + 2)/23
Let o(k) = -196*k**2 + 3437*k - 6815. Let h(g) = -47*g**2 + 859*g - 1704. Let a(r) = -25*h(r) + 6*o(r). Factor a(j).
-(j - 2)*(j + 855)
Let p(n) be the second derivative of -2*n**7/63 - 1138*n**6/45 - 7182*n**5 - 6750700*n**4/9 + 13718000*n**3/9 - 10*n - 73. Determine u, given that p(u) = 0.
-190, 0, 1
Let l = 246262 - 234933533/954. Let k = l - -1/106. Factor 0 - 4/9*y**3 - 4/9*y**2 + 0*y + 4/9*y**5 + k*y**4.
4*y**2*(y - 1)*(y + 1)**2/9
Let t = -33 - -31. Let d be t/(2*5/(-130)). Factor 15 + d*m + 9*m - 217*m**2 + 227*m**2.
5*(m + 3)*(2*m + 1)
Suppose 11100*q**2 - 281250 + 2/3*q**4 + 448/3*q**3 + 270000*q = 0. Calculate q.
-75, 1
Let u