-5*d + 41 = 4*s. Factor 3*a**2 - 4*a - a - a**s + 40 - 58 + a**3 + 20.
-(a - 1)**3*(a + 2)
Let o(k) = k**4 + 6*k**3 - 39*k**2 - 34*k + 110. Let u(x) = 45*x**2 - 80*x**2 - 1 + x**4 + 38*x**2 - x. Let b(j) = -o(j) - 2*u(j). Factor b(s).
-3*(s - 2)**2*(s + 3)**2
Suppose 0 = -p - 5*s - 62, -2*s = 4*p + 61 + 241. Let a = p - -124. Suppose -a*x - 25*x - 175*x**2 + 178*x**2 + 432 = 0. What is x?
12
Factor -410/9*d - 406/9*d**2 - 4/9.
-2*(d + 1)*(203*d + 2)/9
Suppose 8*a = -1 - 7. Let m be ((-2)/a - -1)/(0 - -1). Suppose 35*v**m + 25*v**4 + 23*v**2 - 68*v**2 - 7 - 20*v + 28 - 1 - 15*v**5 = 0. Calculate v.
-1, 2/3, 1, 2
Suppose 0 = 3*u + 4*k - 14, -3*k = 4*u - 0 - 14. Suppose 0 = -f + 4*v + 35, -f = f + u*v - 20. Let 20*r**4 - 3*r - 15*r**4 - r - 6*r - f*r**2 = 0. What is r?
-1, 0, 2
Let h be (24/18 - 2)/((-2)/(-27)). Let f be 1 + (-55)/h + -6. Factor -4/9 + 2/9*v**3 - 8/9*v**2 + f*v.
2*(v - 2)*(v - 1)**2/9
Suppose -15*m = -6*m - 63. Let y be -3 + 3 - m/(-21). Factor -y + 1/3*v - 1/3*v**3 + 1/3*v**2.
-(v - 1)**2*(v + 1)/3
Suppose 5*u + 15*u - 306 = 3*u. Let s(y) be the first derivative of 0*y**3 + 0*y + 3/4*y**4 - u - 3/2*y**2. Factor s(l).
3*l*(l - 1)*(l + 1)
Let i(s) be the second derivative of s**4/6 + 172*s**3 + 66564*s**2 - 8404*s. Determine p, given that i(p) = 0.
-258
Let x = -5824 - -5828. Let z(o) be the third derivative of 0*o - 1/6*o**x + 0 - 5/6*o**3 + 26*o**2 + 1/60*o**5. Factor z(t).
(t - 5)*(t + 1)
Factor -776*h + 158*h - 111*h**2 - 78*h - 3*h**3.
-3*h*(h + 8)*(h + 29)
Let i(k) = -6*k + 400. Let y(h) = -18*h + 498. Let l be y(24). Let u be i(l). Factor 0*x**2 + 6/5*x**3 + 0*x + 0 - 3/5*x**u.
-3*x**3*(x - 2)/5
Let f(t) = -9*t**2 - 191*t + 185. Let s(a) = 10*a**2 + 190*a - 182. Let m(y) = 6*f(y) + 5*s(y). Factor m(u).
-4*(u - 1)*(u + 50)
Let i(f) = 25*f**2 - 2*f. Let d be i(-2). Let t = -102 + d. Suppose 2 - 2 + 0 - 2*a - 4 + t*a**2 = 0. Calculate a.
-1, 2
Let p(g) = 39*g + 69. Let d be p(7). Let c = -1024/3 + d. Suppose c*r - 2/3*r**4 + 0 + 2*r**3 - 2*r**2 = 0. What is r?
0, 1
Let i(c) be the third derivative of 54*c**2 - 1/120*c**6 + 1 + 0*c + 202612/3*c**3 - 1369/2*c**4 + 37/10*c**5. Find h, given that i(h) = 0.
74
Let i be 35/(-9) - (6 + (-50)/5). Let d be ((-6)/63)/(12/(-644)) + -5. Factor 0 - d*k - 1/3*k**3 + i*k**4 + 1/3*k**2.
k*(k - 1)**3/9
Factor 17*w**2 + 6*w - 3*w**3 - 4*w - 5*w - 203*w**2 + 6*w**3 + 186.
3*(w - 62)*(w - 1)*(w + 1)
Let f(l) = -2*l**4 + 2*l**3 - l. Let h(y) = 11*y**4 + 59*y**3 - 235*y**2 + 173*y. Let c(m) = -8*f(m) - h(m). Factor c(o).
5*o*(o - 11)*(o - 3)*(o - 1)
Let n(f) be the second derivative of 4*f**7/21 + 2*f**6 + 32*f**5/5 + 4*f**4 - 32*f**3/3 - 5896*f. Find y such that n(y) = 0.
-4, -2, 0, 1/2
Let o(w) be the third derivative of 8*w**2 - 5/1008*w**8 + 5/126*w**7 + 5/2*w**3 + 25/18*w**5 + 5/12*w**6 + 0 + 175/72*w**4 + 6*w. Find n, given that o(n) = 0.
-1, 9
Let h(f) be the third derivative of -f**5/40 + 181*f**4/16 - 179*f**3/2 + 4*f**2 - 50*f + 7. Let h(k) = 0. What is k?
2, 179
Suppose 128*r - 1/7*r**5 - 272/7*r**2 + 1024/7 - 166/7*r**3 - 23/7*r**4 = 0. Calculate r.
-8, -1, 2
Let b(a) be the first derivative of a**6/27 + 2*a**5/5 - 7*a**4/6 + 22*a**3/27 - 667. Find p, given that b(p) = 0.
-11, 0, 1
Suppose 1/4*f**4 + 0 + 13/4*f**3 - 29/4*f**2 + 15/4*f = 0. What is f?
-15, 0, 1
Let a(j) = j**3 + 84*j**2 + 799*j - 5. Let v(c) = -2*c**3 - 210*c**2 - 1996*c + 12. Let m(p) = -12*a(p) - 5*v(p). Find g, given that m(g) = 0.
-7, 0, 28
Let b = 131 - 129. Factor -9*d**2 + 4*d**3 + 47*d + 15*d**4 - 8*d**2 - 22*d**3 - 23*d + 5*d**b - 3*d**5.
-3*d*(d - 2)**3*(d + 1)
Let m(z) be the first derivative of z**6/720 + z**5/40 + z**4/6 - 2*z**3 - 24. Let i(g) be the third derivative of m(g). Let i(p) = 0. What is p?
-4, -2
Let v(w) be the third derivative of -w**7/840 - 19*w**6/480 + 41*w**5/240 - 7*w**4/32 + 4*w**2 + 185. Solve v(f) = 0 for f.
-21, 0, 1
Let n(u) be the first derivative of u**5/360 - u**4/144 - u**3/3 + 7*u**2/2 - u + 107. Let o(t) be the second derivative of n(t). Suppose o(c) = 0. Calculate c.
-3, 4
Let y(a) = 4*a**3 - 1. Let f(q) = -18*q**3 + 14*q**2 + 80*q + 92. Let m(v) = f(v) + 4*y(v). Suppose m(j) = 0. What is j?
-2, 11
Let k(z) be the third derivative of -169*z**7/2 + 3419*z**6/40 + 537*z**5/5 + 83*z**4/2 + 8*z**3 + 4*z**2 - 75*z - 3. Find o such that k(o) = 0.
-2/13, -4/35, 1
Solve 153*t**3 - 3*t**5 - 72*t**3 + 111*t**2 - 78*t - 36*t**2 - 75*t**4 = 0.
-26, -1, 0, 1
Let j(x) be the first derivative of -2*x**3/5 - 5589*x**2/5 + 11184*x/5 + 8741. Determine k so that j(k) = 0.
-1864, 1
Let o(w) = -48*w**2 + 319*w - 4049. Let t(r) = -123*r**2 + 798*r - 10122. Let y = 64 - 46. Let c(f) = y*o(f) - 7*t(f). Factor c(p).
-3*(p - 26)**2
Let -2*o**2 - 234*o + 185533 - 185533 = 0. What is o?
-117, 0
Factor 1/3*k**3 - 1/3*k - 1 + k**2.
(k - 1)*(k + 1)*(k + 3)/3
Let r be 187*9/99 - 14. Factor 153/8*h**4 + 15/8*h**2 + 0 + 0*h + 93/8*h**r + 27/8*h**5.
3*h**2*(h + 5)*(3*h + 1)**2/8
Determine r, given that 2/9*r**2 - 550/9 + 28/9*r = 0.
-25, 11
Let c(q) be the first derivative of 115 + 5/12*q**3 - 35*q - 15/2*q**2. Let c(k) = 0. Calculate k.
-2, 14
Let a be -13 - (-1 + 5 + -3 + -2). Let y be a/(-90) + 523/15. Suppose -28*k - 102*k**2 - 78*k**3 + 8*k**5 - 27*k**4 - 11*k**5 - y*k - 15 = 0. What is k?
-5, -1
Let k(p) be the second derivative of 0 - p**3 - 11/2*p**2 + 18*p - 1/160*p**6 - 3/8*p**4 - 3/40*p**5. Let m(x) be the first derivative of k(x). Factor m(a).
-3*(a + 2)**3/4
Factor 3*l**3 - 307 - 75*l**2 - 41 - 750197*l + 749861*l.
3*(l - 29)*(l + 2)**2
Let z(y) be the second derivative of -4*y**6/45 + 9*y**5/10 - 5*y**4/6 - 136*y**3/9 + 60*y**2 + 3354*y. Let z(t) = 0. What is t?
-9/4, 2, 5
Suppose 37*a - 250 = 27*a. Determine g so that 7*g**5 - g**5 + 80*g**3 + 4188*g**2 - a*g**4 - g**5 - 144*g - 3852*g**2 - 27*g**4 = 0.
-2, 0, 2/5, 6
Let o(m) be the first derivative of 2*m**3/33 - 5*m**2/11 - 12*m - 1971. Suppose o(v) = 0. What is v?
-6, 11
Let -1/6*h**3 - 2*h**2 + 13/6*h + 0 = 0. What is h?
-13, 0, 1
Let m = 136 + -134. Let b be 2*(-2 + 8 - 4)/m. Find n such that -23*n**2 + 16*n**b - 5*n**2 - 8*n + 4*n**4 = 0.
-1, 0, 2
Factor -1/8*z**3 + 0 - 75/4*z - 77/8*z**2.
-z*(z + 2)*(z + 75)/8
Let w(y) = 19*y**3 + 4*y - 3. Let k be w(1). Determine l so that -100 + 282*l**3 - 4*l**4 + 75*l**2 - 292*l**3 - l**4 - k*l = 0.
-5, -1, 2
Let p(c) be the second derivative of 17*c - 1/30*c**5 - 74/9*c**3 - 3/2*c**4 - 16*c**2 + 4. Factor p(h).
-2*(h + 1)*(h + 2)*(h + 24)/3
Suppose 1580/3*h + 249640/3 + 5/6*h**2 = 0. What is h?
-316
Let t(y) = 6*y**2 + 1 - 3*y**2 + 4*y - 2*y**2 - 3. Let a be t(1). Find p, given that -6*p**3 - 3 + 3*p**5 + 6*p**2 + 2*p**4 + 3*p - 5*p**4 + p**3 - p**a = 0.
-1, 1
Let u be 6/(-10) - 90/(-25). Let s be -4 + (-1280)/(-336)*6/5. Let 36*j + 60/7*j**2 + 28 + s*j**u = 0. Calculate j.
-7, -1
Let h be -4 + -14*2*5/(-20). Factor 74*t - 36*t**2 - 35*t - 43*t + 24 + 16*t**h.
4*(t - 2)*(t - 1)*(4*t + 3)
Let q = -1153/201 - -831/67. Determine x, given that 4 - 28/3*x + 8*x**3 - q*x**4 + 8/3*x**2 + 4/3*x**5 = 0.
-1, 1, 3
Let u(o) be the first derivative of -2*o**6/3 + 192*o**5/5 + 205*o**4 + 208*o**3 - 7743. What is i in u(i) = 0?
-3, -1, 0, 52
Let z = 2505 + -2289. Let a = z - 213. Factor -1/2*b**a + 3/2*b**2 - 1/2*b**4 - 1 + 1/2*b.
-(b - 1)**2*(b + 1)*(b + 2)/2
Let w(p) be the second derivative of -1/130*p**5 + 0*p**2 + 0 + 2/39*p**4 + 5/39*p**3 - 84*p. Factor w(i).
-2*i*(i - 5)*(i + 1)/13
Let k = 532 - 528. Let 20*y**2 - 9*y**4 + 16*y**3 - 2*y**5 - 5*y**4 - 6*y**4 + 9*y + k*y**5 - 27*y = 0. What is y?
-1, 0, 1, 9
Let q(y) be the second derivative of 3*y**4/8 - 29*y**3/2 + 54*y**2 + 4114*y. Find v, given that q(v) = 0.
4/3, 18
Let l(s) be the first derivative of -2*s**3/39 - 486*s**2/13 + 1952*s/13 - 673. Factor l(o).
-2*(o - 2)*(o + 488)/13
Let g(n) be the first derivative of -n**4/8 + 308*n**3 - 284592*n**2 + 116872448*n - 483. Factor g(l).
-(l - 616)**3/2
Let q(p) be the third derivative of p**6/420 + 22*p**5/35 + 87*p**4/28 + 130*p**3/21 + 2934*p**2. Factor q(l).
2*(l + 1)**2*(l + 130)/7
Let d(j) be the second derivative of -j**5/2 + 17*j**4/6 + 24*j**3 + 36*j**2 - 2*j + 409. Let d(c) = 0. Calculate c.
-2, -3/5, 6
Let r be (2*-3*6/(-12))/(-3). Let h be 4 - (r + 6 + -3) - -2. Factor 0 + 3/7*b**5 + 0*b**3 + 0*b