r 4818/17*g + 43560/17 + 172/17*g**2 + 2/17*g**3.
2*(g + 20)*(g + 33)**2/17
Let p(w) be the second derivative of -w**6/6 + 11*w**5/4 - 10*w**4 - 30*w**3 - 157*w + 3. Find o such that p(o) = 0.
-1, 0, 6
Let v be (2622/399*-10)/((-11)/((-77)/(-6))). Factor -v*f - 2645/3 - 5/3*f**2.
-5*(f + 23)**2/3
Let t(h) be the third derivative of 2*h**7/105 + 9*h**6/10 + 211*h**5/15 + 195*h**4/2 + 800*h**3/3 - 2*h**2 - 54*h. Solve t(g) = 0.
-16, -5, -1
Let l(n) be the third derivative of 1/180*n**5 - 1/12*n**4 - 36*n**2 - 1 + 0*n - 7/18*n**3. Solve l(m) = 0.
-1, 7
Let -114368/3*q**2 - 320000/3 - 435200/3*q + 1918/3*q**4 + 2848/3*q**3 - 98/3*q**5 = 0. What is q?
-4, -1, 100/7
Let p = 572/3 - 8389/44. Let o = p + 29/44. Find d, given that -o*d**4 - 2/3*d**3 + 4/3 + 10/3*d + 2*d**2 = 0.
-1, 2
Let y be 10 + (-1972)/203 + 12/7 + -2. Solve 84/5*g - 2/5*g**2 + y = 0 for g.
0, 42
Let v(k) be the third derivative of -k**5/90 - 89*k**4/18 - 7921*k**3/9 + 1290*k**2. Let v(f) = 0. Calculate f.
-89
Let k(j) = -43*j**3 + 4*j**2 + 6*j + 3. Let l be k(-2). Let b = l + -243. Factor -78*z + 77 - 5 + b + 498*z + 245*z**2.
5*(7*z + 6)**2
Let d = -273706 - -821123/3. Factor -1/3*z**4 + z + 0 + 1/3*z**3 + d*z**2.
-z*(z - 3)*(z + 1)**2/3
Let d(c) = -c**3 - 13*c**2 + 3*c + 13. Let k be d(-13). Let g = -7 - k. Determine a, given that -g*a + 16 + 54*a - 20*a**2 - 3*a = 0.
-2/5, 2
Let a be (-20)/(-12)*(8 - 5) - (2 + 3). Let u(r) be the third derivative of 2/3*r**3 + a + 2*r**2 - 1/4*r**4 + 3/80*r**5 - 1/480*r**6 + 0*r. Factor u(z).
-(z - 4)**2*(z - 1)/4
Let p = -743 - -746. Determine y so that 123*y**2 + 45*y**p - 24252*y - 10 + 24277*y - 43*y**2 = 0.
-1, 2/9
Let t = -13561 + 13565. Let v(h) be the first derivative of 3/20*h**2 + 38 + 0*h + 1/40*h**t - 1/50*h**5 + 1/6*h**3. Suppose v(j) = 0. What is j?
-1, 0, 3
Suppose -216 = -h - 4*l - 226, 5*l + 35 = -5*h. Let o be (h/(-48)*4)/((-7)/(-4)). Factor -4/7 - 6/7*m + 2/7*m**2 + 6/7*m**3 + o*m**4.
2*(m - 1)*(m + 1)**2*(m + 2)/7
Let w be 6/10*15/21. Let o = 34550/40243 - 8/5749. Factor -o + w*m**2 - 3/7*m.
3*(m - 2)*(m + 1)/7
Let d(s) be the second derivative of -s**4/4 - 10*s**3 + 783*s**2/2 + 5187*s. Factor d(v).
-3*(v - 9)*(v + 29)
Let o(v) = v**2 + 13*v + 25. Let z be o(-11). What is x in -x**3 - z*x**4 - 104*x**2 - 2*x**3 + 110*x**2 = 0?
-2, 0, 1
Let y(m) be the second derivative of -m**5/30 - 20*m**4/9 + 41*m**3/9 + 4*m + 67. Determine j, given that y(j) = 0.
-41, 0, 1
What is f in 3220/3*f + 1/3*f**5 - 3496/3*f**2 + 1621/3*f**3 - 274/3*f**4 - 1072/3 = 0?
1, 2, 268
Let t be ((-5395)/130 + 42)/(4/6). Factor t*a**2 - 3/2*a - 9/4.
3*(a - 3)*(a + 1)/4
Let q(h) = -3*h**2 - 714*h - 2057. Let s(r) = -20*r**2 - 5000*r - 14385. Let k(n) = 15*q(n) - 2*s(n). Solve k(c) = 0.
-139, -3
Let j(n) = 8*n**3 + 359*n**2 + 170*n + 3. Let h(b) = -16*b**3 - 717*b**2 - 342*b - 5. Let k(o) = -3*h(o) - 5*j(o). What is f in k(f) = 0?
-44, -1/2, 0
Let k(o) be the first derivative of -o**4/9 + 1832*o**3/27 - 10216. Determine i so that k(i) = 0.
0, 458
Let g(t) be the third derivative of -t**6/24 + 7*t**5/4 + 75*t**4/8 + 115*t**3/6 - 836*t**2. Solve g(v) = 0.
-1, 23
Let p = -12142 + 12146. Let h(g) be the second derivative of 8/3*g**3 + 14*g + 0*g**2 + 1/5*g**5 + 0 + 5/3*g**p. Factor h(s).
4*s*(s + 1)*(s + 4)
Let j = 3809/10724 + 3/1532. Let b(s) be the second derivative of 2/35*s**6 + 3/7*s**2 - 3/98*s**7 + 0 - 14*s - j*s**3 - 3/14*s**4 + 6/35*s**5. Solve b(t) = 0.
-1, 1/3, 1, 2
Let -483/4*d + 45/2 - 101/4*d**3 + 373/4*d**2 + 9/4*d**4 = 0. What is d?
2/9, 3, 5
Let j(k) = 8*k**3 + 184*k**2 + 960*k - 1185. Let l(v) = -2*v**3 - 46*v**2 - 240*v + 297. Let o(n) = 6*j(n) + 22*l(n). Solve o(w) = 0.
-12, 1
Let x be 5 + ((-2105)/421 - ((-13)/2 - 1)). Let t(i) be the second derivative of -20*i - 5/12*i**4 + 0 + x*i**2 + 5/3*i**3. Factor t(l).
-5*(l - 3)*(l + 1)
Let d = -1292413/2 + 646207. Factor -7/6*y**3 + 31/6*y - d*y**2 - 1/6*y**4 - 10/3.
-(y - 1)**2*(y + 4)*(y + 5)/6
Determine v so that -8*v - 4/5*v**3 + 0 - 44/5*v**2 = 0.
-10, -1, 0
Factor -2562/25 - 512/5*w + 2/25*w**2.
2*(w - 1281)*(w + 1)/25
Let p(x) be the third derivative of 7/40*x**4 + 0 + x**3 + 0*x + 121*x**2 + 1/100*x**5. Factor p(w).
3*(w + 2)*(w + 5)/5
Factor 684*x**3 + 189*x**3 - 580*x + 743*x**3 - 231*x**3 + 0*x**4 + 45*x**4 + 2300*x**2.
5*x*(x + 2)*(x + 29)*(9*x - 2)
Factor -322 + 987 + 840*x**2 + 2535 + x**4 + 2720*x + 169*x**3 - 59*x**3 + 4*x**4.
5*(x + 4)**3*(x + 10)
Let g be (-1 - 140/(-170)) + 5832/680. Factor 72/5*n + 122/5*n**2 + g*n**3 - 8/5.
2*(n + 1)*(n + 2)*(21*n - 2)/5
Let w(b) = b**2 + 26*b + 29. Let f be w(-23). Let s be (-2)/8 + (-210)/f. Factor -5 + s + 2*o - o**2 + 8.
-(o - 4)*(o + 2)
Suppose -3*k + 6*k = -4*o + 1, -3*o + 22 = -2*k. Let w be -8 + o - (-96)/21. Solve 96/7*u + 32/7*u**3 + w*u**4 + 88/7*u**2 + 36/7 = 0.
-3, -1
Factor 89 + 7*i**4 - 125*i**2 + i**5 + 137*i**2 + 16*i**3 - 89.
i**2*(i + 2)**2*(i + 3)
Let m(x) = -19*x + 21. Let p be m(1). Factor -2*q**3 - 2*q**3 + 411*q**2 - 205*q**p + q**4 - 203*q**2.
q**2*(q - 3)*(q - 1)
Suppose -1/2*t**3 + 40*t - 42 - 17/2*t**2 = 0. What is t?
-21, 2
What is z in 300*z**2 - 42*z - 65*z**2 + 129*z + 34*z + 129*z + 15 = 0?
-1, -3/47
Suppose -2*u + 5*d = -14, -11 = -4*u + d - 1. Let -3*h**2 + 59*h + 81*h - u*h**2 - 30*h = 0. What is h?
0, 22
Let j(p) be the first derivative of 2*p**3/9 + 28*p**2/3 - 222*p + 1351. Suppose j(u) = 0. Calculate u.
-37, 9
Let v(t) be the second derivative of 7*t**6/15 - 16*t**5/25 - 76*t**4/15 + 128*t**3/15 + 48*t**2/5 + t - 596. Suppose v(s) = 0. Calculate s.
-2, -2/7, 6/5, 2
Suppose 0 = -4*h - 16, 0*h = -4*v - h + 20. Suppose -3*w = -5*g - 21 - v, 4*g = -12. Factor a**2 - 28*a**2 - 5*a**2 + 4*a**w + 64.
4*(a - 2)**2*(a + 2)**2
Let j be -209*(-190)/165*(-9)/(-24). Let -1/4 - 19/2*n - j*n**2 = 0. What is n?
-1/19
Suppose 5*i - 4*i - 5*i + 8 = 0, i - 11 = -w. Factor -111/2*d**2 - w*d**3 + 54*d + 21/2.
-3*(d - 1)*(d + 7)*(6*d + 1)/2
Let b be (34/(-85))/((-1)/50). Let t be ((-5)/b)/((-2)/15). Factor -9/2*d**4 - 27/8*d**3 + 0*d - t*d**5 + 0 - 3/4*d**2.
-3*d**2*(d + 1)**2*(5*d + 2)/8
Let s(f) be the first derivative of f**5/10 - 27*f**4/8 - 14*f**3/3 + 1100. Factor s(j).
j**2*(j - 28)*(j + 1)/2
Suppose 440 = 3*q + 164. Factor q - 3*k**3 + 3*k**2 - 92.
-3*k**2*(k - 1)
Let t be (-2511)/(-216) - (-6)/16. Let h(z) be the second derivative of 8/21*z**3 + 8/7*z**2 + 0 - t*z + 1/21*z**4. Factor h(c).
4*(c + 2)**2/7
Let x = -887 - -891. Let a(p) = 30*p - 118. Let t be a(x). Find w, given that -1/4*w**3 - 3/4*w - w**t + 0 = 0.
-3, -1, 0
Let i(j) = 450*j**5 - 560*j**4 + 118*j**3 - 18*j**2 + 10*j + 10. Let c(n) = n - 27 - 24 - n**2 - n**3 + 52 + n**4. Let o(m) = -20*c(m) + 2*i(m). Factor o(s).
4*s**2*(s - 1)*(15*s - 2)**2
Suppose 5*i - 12*i = -546. Solve 37*a**2 - i*a**2 - 3*a**4 - 3*a**3 + 3*a**3 - 3 + 47*a**2 = 0.
-1, 1
Let j**5 + 5*j - 5*j**5 + 39 + 16*j**4 + 3 - 18 - j - 40*j**2 = 0. What is j?
-1, 1, 2, 3
Let t(q) = -q**3 + 26*q**2 - 47*q - 21. Let p be t(24). Factor 72*h**4 - 39*h**4 - 9*h**2 + 10*h**p - 7*h**5 - h**3 - 32*h**4 + 6*h**5.
-h**2*(h - 3)*(h - 1)*(h + 3)
Let v be (-10)/(-2) - -37*24/(-6). Let t = v + 729/5. Solve -t*w**2 + 6/5*w + 0 = 0 for w.
0, 3/7
Let m(d) = -6*d**2 + 12*d - 2. Let z(u) be the first derivative of -7*u**3/3 + 7*u**2 - 4*u - 81. Let v(o) = -6*m(o) + 5*z(o). Factor v(s).
(s - 4)*(s + 2)
Solve -35/2*r**2 + 19/2*r**3 + 15/4*r**4 + 55/4 - 39/4*r + 1/4*r**5 = 0 for r.
-11, -5, -1, 1
Determine s so that 16*s**3 + 178/11 + 2/11*s**4 - 16*s - 180/11*s**2 = 0.
-89, -1, 1
Suppose 2 - 5 = f - 3*m, 4*f + 3*m = 18. Factor -14*u**2 + 230*u**2 + 162*u + 78*u**f + 9*u**4 - 89 - 7 + 15.
3*(u + 3)**3*(3*u - 1)
Let d = -4553/20 + 5063/20. Let d*a**4 - 147*a**2 + 243/2 + 93*a**3 - 189/2*a + 3/2*a**5 = 0. What is a?
-9, -1, 1
Let -152 + 188*f - 71/2*f**2 - 1/2*f**3 = 0. Calculate f.
-76, 1, 4
Let n(m) be the third derivative of 2 - 19*m**2 + 0*m**4 + 0*m**3 - 83/720*m**6 + 1/504*m**8 - 7/120*m**5 - 4/63*m**7 + 0*m. Solve n(i) = 0.
-1/2, 0, 21
Let z(q) = 18*q**2 - 204*q - 4232. Let y(b) be the third derivative of -b**5/30 + b**4/12 + 21*b**2 + 2. Let c(f) = 10*y(f) + z(f). Factor c(g).
-2*(g + 46)**2
Let b(y) = 8*y**2 + 280*y + 3. Suppose -105 = 569*h - 566*h. Let g be b(h). Suppose 2/3*w + 17/3*w**4 + 7*w**2 + 