tor k(c).
-4*(c + 2)*(3*c - 2)**2
Let q(l) be the first derivative of 2*l**5/75 + l**4/10 - 86*l**3/45 + 31*l**2/5 - 36*l/5 + 1764. Find v, given that q(v) = 0.
-9, 1, 2, 3
Factor -1281/5 + 3/5*p**2 + 162/5*p.
3*(p - 7)*(p + 61)/5
Let g(z) be the third derivative of -z**5/48 - 285*z**4/32 - 845*z**3/12 - 1685*z**2. Find k, given that g(k) = 0.
-169, -2
Let h(w) = 2*w**3 - 2*w**2 + 10*w - 20. Let n be h(4). Suppose n*g - 475*g**3 - 312*g**2 + 644*g**3 + 28*g = 0. What is g?
0, 12/13
Suppose -13778/7*z**3 + 110888/7*z**2 + 64/7 - 760*z = 0. Calculate z.
2/83, 8
Let q = -8378 + 8383. Let u(m) be the third derivative of 0*m**3 - 1/540*m**6 + 0*m - 9*m**2 + 0 + 4/135*m**q - 4/27*m**4. Factor u(h).
-2*h*(h - 4)**2/9
Let q be 3*2*(-2)/12 - -3. Solve 27 - 15*v**2 - 3 - 11*v**3 + v**4 - 52*v + 53*v**q = 0.
1, 2, 6
Let r be 15/3 - 2 - ((-580)/(-16))/29. Factor -2 - r*q**3 - 11/2*q**2 - 23/4*q.
-(q + 1)**2*(7*q + 8)/4
Let x = -32711/2 - -16356. Let r(l) be the second derivative of 1/4*l**4 + 0 - 3*l**2 - 3*l - x*l**3. Factor r(q).
3*(q - 2)*(q + 1)
Determine h so that 138*h**2 - 3*h**4 - 51*h**3 + 99/2*h + 3/2*h**5 - 135 = 0.
-6, -1, 1, 3, 5
Suppose -30*h - 26*h - 462 = -210*h. Let q(r) be the first derivative of 0*r**2 + 1/4*r**4 + 0*r**h - 13 + 0*r + 1/15*r**5. Suppose q(s) = 0. Calculate s.
-3, 0
Let c(w) be the first derivative of 5*w**4/4 + 310*w**3 - 3840*w**2 + 15520*w + 1045. Factor c(g).
5*(g - 4)**2*(g + 194)
Let h(x) be the third derivative of x**8/392 - 23*x**7/735 + x**6/84 + 57*x**5/70 + 10*x**4/21 - 100*x**3/21 - 2*x**2 + 2122*x. Suppose h(b) = 0. Calculate b.
-2, -1, 2/3, 5
Let z(x) be the third derivative of 47*x**5/60 + 325*x**4/24 - 14*x**3/3 + 3020*x**2. Factor z(s).
(s + 7)*(47*s - 4)
Suppose -5 = -4*h + i, 5*h - 10*i + 5*i - 25 = 0. Let s(v) be the third derivative of 0 + 5*v**2 + 0*v**4 + 0*v - 1/90*v**5 + 1/360*v**6 + h*v**3. Factor s(b).
b**2*(b - 2)/3
Let o(t) be the first derivative of 33/5*t - 3/20*t**4 + 133 + 3/10*t**2 - 11/5*t**3. Find i, given that o(i) = 0.
-11, -1, 1
Let i(v) be the third derivative of 157*v**2 + 0 + 19/30*v**6 + 0*v + 64/3*v**3 + 2/35*v**7 + 2/3*v**5 - 32/3*v**4. Let i(w) = 0. Calculate w.
-4, 2/3, 1
Let y(x) be the second derivative of -1/231*x**7 + 0*x**2 + 3*x + 0 + 4/33*x**3 - 2/165*x**6 + 3/110*x**5 + 4/33*x**4. Suppose y(d) = 0. Calculate d.
-2, -1, 0, 2
Suppose 2*f + 1 - 14 = -3*y, 3 = y. Let g(h) = h**2 - h + 1. Let p(d) = -9*d**2 - 157*d + 3517. Let k(w) = f*p(w) + 22*g(w). What is s in k(s) = 0?
42
Let t(s) be the first derivative of s**6/3 + 6*s**5 - 57*s**4 + 488*s**3/3 - 168*s**2 - 5770. Factor t(a).
2*a*(a - 2)**3*(a + 21)
Suppose -42 = -5*p - 4*c, -2*p = -c - 7 - 2. Suppose 174 = -p*s + 606. Find h, given that -3*h**2 + s*h + 4*h**2 - 87*h + 2*h**2 = 0.
0, 5
Let z(q) = q**3 + 15*q**2 + 29*q + 41. Let r be z(-13). Suppose -r*i = 21 - 29. Factor 0 + 1/3*o**2 - o + 7/3*o**3 - 5/3*o**i.
-o*(o - 1)**2*(5*o + 3)/3
Suppose 10*c - 20 = 5*n, 3*c - 8*c + 25 = 5*n. Let f = 1/51 + 401/357. Let 4/7*w**c - 12/7*w**4 + 12/7*w**2 + 4/7*w + 0 - f*w**5 = 0. Calculate w.
-1, -1/2, 0, 1
Let s(c) be the second derivative of c**5/40 + 5*c**4/2 - 63*c**3/4 - 1146*c. What is b in s(b) = 0?
-63, 0, 3
Let i(p) be the first derivative of 3*p**4/28 - 487*p**3/7 + 25515*p**2/2 - 177147*p/7 - 361. Factor i(t).
3*(t - 243)**2*(t - 1)/7
Let s be ((-25088)/42)/(-64) - (-1 - -10). Suppose s*n + 1/3 - 1/3*n**2 - 1/3*n**3 = 0. What is n?
-1, 1
Let k(h) be the first derivative of h**3/12 + 75*h**2/8 + 325*h/2 + 14160. Factor k(i).
(i + 10)*(i + 65)/4
Let r be ((-12)/(-64))/(((-198)/24)/(-11)). Suppose -10 = -5*c, 4*t + 4*c - 4 = 2*c. What is f in -r*f**2 + 0*f + t + 1/4*f**3 = 0?
0, 1
Let l(x) be the second derivative of -25*x**7/63 - 149*x**6/18 - 239*x**5/6 + 785*x**4/36 + 950*x**3/9 + 250*x**2/3 - 2488*x. Determine f so that l(f) = 0.
-10, -5, -1/2, -2/5, 1
Let n be (-1 + -4)*(-3)/(7 + -4). Suppose 53 + 47 + n*u**2 - 23*u + 0 - 37*u = 0. Calculate u.
2, 10
Let d(q) be the second derivative of 0 + 0*q**2 - 35/12*q**4 - 5*q**3 - 70*q + 0*q**5 + 1/6*q**6. Let d(z) = 0. Calculate z.
-2, -1, 0, 3
Let z(p) = 7*p**3 + 4*p**2 - 8*p - 5. Suppose 4*s - 2*s + 15 = -5*x, 10 = s - x. Let a(g) = 6*g**3 + 5*g**2 - 8*g - 7. Let n(o) = s*a(o) - 4*z(o). Factor n(q).
(q + 1)*(q + 5)*(2*q - 3)
Suppose 2824 = -19*i + 544. Let b = 122 + i. Solve 3*l**b + 150 - 161 + 119 - 36*l = 0.
6
Determine u so that 98/9*u**3 - 1610/9*u**2 - 944/9*u - 136/9 = 0.
-2/7, 17
Let p(r) be the first derivative of 89 + 1/6*r**3 + 0*r + 5/24*r**4 + 1/30*r**5 - 3/4*r**2. Factor p(c).
c*(c - 1)*(c + 3)**2/6
Let c(q) be the first derivative of 0*q**2 + 0*q - 3/10*q**5 + 3/8*q**4 - 1/6*q**3 + 1/12*q**6 + 10. Find k, given that c(k) = 0.
0, 1
Let v(z) be the second derivative of -z**7/14 - 31*z**6/10 - 138*z**5/5 + 2482*z. Factor v(o).
-3*o**3*(o + 8)*(o + 23)
Let j(l) be the second derivative of 3*l**5/80 - 41*l**4/8 + 81*l**3/8 + 1401*l + 2. Determine t so that j(t) = 0.
0, 1, 81
Let i(r) = -3*r**4 + 9*r**3 + 75*r**2 + 60*r + 3. Let x(j) be the third derivative of j**4/24 - j**3/6 - 10*j**2. Let y(b) = -i(b) - 3*x(b). Factor y(s).
3*s*(s - 7)*(s + 1)*(s + 3)
Let s = -1925018 + 583279643/303. Let l = -1/101 - s. Factor -8/3*z - 8/3 + 2*z**2 + 2/3*z**4 + l*z**3.
2*(z - 1)*(z + 1)*(z + 2)**2/3
Suppose 4*b + 4*i = 884, 3*i + 856 = 9*b - 5*b. Factor 2*w**2 + 432*w**4 - 3*w**5 - 219*w**4 + w**3 - b*w**4.
-w**2*(w + 1)**2*(3*w - 2)
Let s(f) be the first derivative of -3/2*f**2 - 3/10*f**5 + 3/2*f**3 - 192 + 0*f**4 + 0*f. Factor s(r).
-3*r*(r - 1)**2*(r + 2)/2
Factor 14320/3*l - 4/3*l**2 - 12816400/3.
-4*(l - 1790)**2/3
Let p be (-14)/(-336) - (-3)/(-1440)*-172. Suppose -34/5*h + 16/5 - p*h**3 + 4*h**2 = 0. What is h?
1, 8
Let b = 600181 + -4201129/7. Factor 141/7 - b*m - 3/7*m**2.
-3*(m - 1)*(m + 47)/7
Let l(q) = -39*q + 1018. Let u be l(26). Let o(y) = -y + 6. Let d be o(4). Factor -u*f**d + 6*f**4 - f**5 + 0*f**5 - 4*f**2 + 3*f**5.
2*f**2*(f - 1)*(f + 2)**2
Let i(v) be the first derivative of -4*v**3/3 + 60*v**2 - 116*v + 541. Factor i(r).
-4*(r - 29)*(r - 1)
Let n(j) = -j**3 + 1213*j**2 + 716*j - 482. Let p(o) = 3*o**3 + 4*o - 1. Let f(v) = 2*n(v) + 4*p(v). Solve f(t) = 0.
-242, -1, 2/5
Let z be ((-363682)/(-126))/(-11) + -4. Let b = -1787/7 - z. Factor 4/9*r**3 + 140/9*r - 44/9*r**2 - b.
4*(r - 5)**2*(r - 1)/9
Let s = -405763 + 405765. Suppose 0 + 1/2*f**4 + 0*f - 1/2*f**3 - f**s = 0. Calculate f.
-1, 0, 2
Let j be 3 - (-4)/(5 - 1). Factor 8 + 50*z**2 + 0*z + 340*z**j - 326*z**4 + 2*z**5 + 32*z + 38*z**3.
2*(z + 1)**3*(z + 2)**2
Let r be -8 - (-4 + -552 + 5). Let w = -541 + r. Factor -12/5 - 4/5*s**w + 16/5*s.
-4*(s - 3)*(s - 1)/5
Let j(y) be the second derivative of -y**7/21 + 56*y**6/45 - 7*y**5/6 - y**4 - 24*y + 4. Suppose j(o) = 0. What is o?
-1/3, 0, 1, 18
Factor -77*w - 18 + 142*w + 18 - w**3 + 8*w**2 - 80*w.
-w*(w - 5)*(w - 3)
Suppose -279/5 - 834/5*j + 9/5*j**2 = 0. Calculate j.
-1/3, 93
Let c be 506/(-2530)*-2*(-5)/(-4). Factor 1/2 - r + c*r**2.
(r - 1)**2/2
Let t = 186170 - 186167. Factor 0*l + 0 - 20/7*l**t + 2/7*l**2 - 22/7*l**4.
-2*l**2*(l + 1)*(11*l - 1)/7
Let r(q) be the second derivative of q**4/48 - 5*q**3/4 + 161*q**2/8 - 345*q + 13. Find a such that r(a) = 0.
7, 23
Solve 630/11*v**2 - 628/11*v**4 + 149/11*v - 149/11*v**3 - 2/11 = 0 for v.
-1, -1/4, 2/157, 1
Let s(h) be the third derivative of h**8/924 + 5*h**7/231 + 3*h**6/20 + 109*h**5/330 - 85*h**4/132 - 50*h**3/11 - 2505*h**2 - 3*h. Solve s(j) = 0.
-5, -2, -3/2, 1
Let a = -8 - -10. Suppose p - 9 = -4*b, 3*b - p = 4*b. Factor 2 - b + 8*c**a - 3 - 4*c**4.
-4*(c - 1)**2*(c + 1)**2
Let l be (114 + -114)/(-2*(-14)/(-4)). Suppose -3*g + 5 + 1 = 0. What is b in 147/4*b**3 + 343/4*b**g + l*b + 21/4*b**4 + 1/4*b**5 + 0 = 0?
-7, 0
Let n(k) be the third derivative of -4/105*k**7 + 1/10*k**6 + 4/15*k**5 + 0 + 0*k**3 - 1/84*k**8 + 45*k**2 - 2/3*k**4 + 4*k. Factor n(s).
-4*s*(s - 1)**2*(s + 2)**2
Let y(t) be the first derivative of t**6/48 - t**5/4 + 15*t**4/16 - 5*t**3/6 - 31*t**2/16 + 15*t/4 + 3037. Suppose y(m) = 0. Calculate m.
-1, 1, 2, 3, 5
Factor 10368 + 295*m - 3952 - 3321 - 3705 + 5*m**2.
5*(m - 2)*(m + 61)
Let c = -6620 + 6620. Let y(f) be the third derivative of -1/525*f**7 + 0 + 1/60*f**4 + 1/150