o + 1. Factor z(h).
-4*(h - 635)**2
Let k be 110/77*546/65. Let j(n) be the first derivative of -4/17*n - k + 2/51*n**3 - 1/17*n**2. Find d such that j(d) = 0.
-1, 2
Let i = -16823 + 16823. Suppose 2/11 - 2/11*g**2 + i*g = 0. What is g?
-1, 1
Let c = -10095658/15 - -673044. What is t in 14/15 - 2*t - c*t**3 + 6/5*t**2 = 0?
1, 7
Let s be 525/4900 + (-65)/20 + 4. Suppose -2/7*c**2 - 4/7*c - 2/7*c**5 + 0 + s*c**3 + 2/7*c**4 = 0. What is c?
-1, 0, 1, 2
Let n(z) be the second derivative of -z**6/6 + 4*z**5 - 10*z**4 - 160*z**3/3 + 280*z**2 + 3*z - 19. Factor n(x).
-5*(x - 14)*(x - 2)**2*(x + 2)
Let t(k) = k**3 - 10*k**2 + 20*k + 26. Let p be t(6). Let s(b) be the first derivative of 0*b + 9 + 0*b**p - 1/27*b**3. Factor s(j).
-j**2/9
Suppose 4*f - 99 - 261 = 0. Let j = 92 - f. Suppose -80*g**j + 60*g**3 - 2*g**5 + 6*g**3 + 0*g**5 - 20*g**4 + 32*g + 4*g**5 = 0. Calculate g.
0, 1, 4
Let y be 86/8 - -4 - -4. Let f be (14/6)/((-7)/(-6)). Factor -y - 3/4*g**f - 15/2*g.
-3*(g + 5)**2/4
Let s(j) = -j**2 + 6*j - 5. Let w be s(5). Suppose -2*r + 12 - 4 = w. Factor -551*f**r + 546*f**4 - 2*f**2 + 7*f**2.
-5*f**2*(f - 1)*(f + 1)
Let j be (-585)/(-675)*-9 - -9. Let -j*q + 18/5 + 1/10*q**2 = 0. Calculate q.
6
Let y = -1492/45 + 1546/45. Solve -y*r**3 - 3/5*r**4 - 1/10*r**5 - r**2 - 3/10*r + 0 = 0.
-3, -1, 0
Let s(x) = 347*x**2 - 724*x + 125. Let g(j) = -62 + 3*j - 174*j**2 + 414*j - 55*j. Let n(d) = 5*g(d) + 2*s(d). Factor n(m).
-2*(8*m - 15)*(11*m - 2)
Let l be (372/(-3255))/(2/(-7)). Let h(v) be the second derivative of -27*v + 0 - 17/60*v**4 - l*v**2 - 2/3*v**3 - 1/25*v**5. Factor h(k).
-(k + 2)**2*(4*k + 1)/5
Let i(q) = -q**2 - 53*q + 1393. Let r be i(-72). Let d(a) be the first derivative of 0*a - r + 5*a**2 - 5/3*a**3. Factor d(x).
-5*x*(x - 2)
Suppose 0 = -5*k - 5*h + 55, 5*k - 40 = -h - 29. Factor 1/8*c**2 + 1/8*c + k.
c*(c + 1)/8
Suppose -4*x - 4*d + 136 = 0, -7536*d = x - 7532*d - 76. Solve -8*z**5 + 0 + 0*z**3 - x*z**2 + 100/3*z**4 - 16/3*z = 0 for z.
-1/2, -1/3, 0, 1, 4
Let r(z) be the first derivative of 72*z - 4/3*z**3 - 139 + 6*z**2. Factor r(d).
-4*(d - 6)*(d + 3)
Let d(b) be the second derivative of b**5/60 - b**4/24 - b**3 - 27*b**2 + b + 10. Let r(l) be the first derivative of d(l). Suppose r(m) = 0. What is m?
-2, 3
Let x(w) be the first derivative of w**7/3780 - 19*w**6/1620 + 4*w**5/27 + 25*w**4/27 + 209*w**3/3 + 177. Let z(n) be the third derivative of x(n). Factor z(r).
2*(r - 10)**2*(r + 1)/9
Suppose 192 - c**2 + 11*c - 6*c - 49*c = 0. What is c?
-48, 4
Let p = 154 - 135. Find a, given that -57*a**2 + 2019*a - 2055*a - p*a**2 - 4*a**4 - 44*a**3 = 0.
-9, -1, 0
Let x(p) be the first derivative of -43/6*p**3 - 1/16*p**4 - 1849/8*p**2 + 0*p + 193. Factor x(l).
-l*(l + 43)**2/4
Let y(n) be the first derivative of -7*n - 54 + 4*n**2 - 1/3*n**3. Factor y(v).
-(v - 7)*(v - 1)
Let g(w) = -w**2 + 7*w + 29. Let l be g(9). Find t, given that -3*t**3 + 12*t - 25*t - 8 + l*t + 5*t**2 + 2*t**3 = 0.
-1, 2, 4
Let c be (957216/(-432))/59*-1. Suppose -136/9*a**3 - 8/9*a**4 - c*a**2 - 200 + 680/3*a = 0. What is a?
-10, 3/2
Let m = 49662/11 + -198439/44. Factor 1/8*a**2 - m + 17/8*a.
(a - 2)*(a + 19)/8
Let s(p) be the first derivative of -57/2*p**2 + 3/4*p**4 + 146 + 0*p**3 + 90*p. Factor s(f).
3*(f - 3)*(f - 2)*(f + 5)
Let q(x) = 108*x**2 - 38*x + 24. Let a be q(5). Let u = -15203/6 + a. Factor -2/3*r**2 - 1/2*r + u.
-(r + 1)*(4*r - 1)/6
Let x be -2 + -3 - (5 + -14). Let f(r) be the first derivative of 0*r**2 - 3 + 0*r + 1/5*r**x + 0*r**3. Let f(z) = 0. Calculate z.
0
Suppose -184*m + 412*m - 60 = 208*m. Determine g so that 3/4*g - 3/8*g**2 + 3/8*g**5 - 9/8*g**m + 3/8*g**4 + 0 = 0.
-2, -1, 0, 1
Let r(j) = -179*j**2 + 165*j - 10. Let o(a) = -171*a**2 + 165*a - 12. Let b(l) = -4*o(l) + 3*r(l). Factor b(q).
3*(q - 1)*(49*q - 6)
Let n be ((-65)/26)/(5/(-12)). Factor 0*p**3 - 255*p**2 - p**3 + n*p**3 + 4335*p - 14178 - 10387.
5*(p - 17)**3
Factor 2/5*t**3 + 304/5 + 26/5*t**2 - 212/5*t.
2*(t - 4)*(t - 2)*(t + 19)/5
Suppose -7 = -0*d + 2*d + 3*n, 0 = -4*d - n + 11. Suppose 3*u - d*k + 2 = 4, 5*u = -3*k + 13. Suppose -2*a**2 + 4*a**u - 2*a - 2*a - 8 + 2 = 0. What is a?
-1, 3
Suppose 0*t - 2/3*t**3 - 4/3*t**2 + 0 = 0. Calculate t.
-2, 0
Let h(g) be the third derivative of -g**5/150 - 13*g**4/12 - 168*g**3/5 - 3*g**2 + 2*g - 416. Solve h(s) = 0.
-56, -9
Factor 0 + 3/2*n**3 + 18*n**2 + 30*n.
3*n*(n + 2)*(n + 10)/2
Let f be ((-81)/54)/(2/(-4) + 0). Let t(g) = 10*g - 27. Let z be t(f). Find n such that -4*n**2 - n**3 + 10*n**2 + 40*n + 24 - 3*n**z + 8*n**2 - 2*n**4 = 0.
-2, -1, 3
Let u(k) be the first derivative of k**6/270 + k**5/45 - k**4/54 - 2*k**3/9 - 45*k**2 + 97. Let s(a) be the second derivative of u(a). Factor s(t).
4*(t - 1)*(t + 1)*(t + 3)/9
Let n(h) be the third derivative of 361*h**8/42 - 836*h**7/15 + 61*h**6/12 - 2*h**5/15 - 5*h**2 - 209. Factor n(f).
2*f**2*(f - 4)*(38*f - 1)**2
Suppose -3*q - 4*a = 40, 11*q - 5*a = 16*q + 65. Let j be (9/q)/((-15)/24*3). Factor -1/5*i**2 - j - 3/5*i.
-(i + 1)*(i + 2)/5
Let o(j) be the first derivative of -j**3/15 - 17*j**2/10 - 42*j/5 - 513. What is a in o(a) = 0?
-14, -3
Let d(l) be the first derivative of l**6/18 - 29*l**5/15 - 5*l**4/2 + 5026. Determine t so that d(t) = 0.
-1, 0, 30
Let t = -470747/4455 - -2/4455. Let v = t + 106. Find j such that -2/3*j + 0 - v*j**2 = 0.
-2, 0
Let d(u) be the first derivative of 5/16*u**4 - 3/4*u**3 - 1/20*u**5 - 74 + 7/8*u**2 - 1/2*u. Factor d(h).
-(h - 2)*(h - 1)**3/4
Let l = 683 + -284. Suppose 0 = -l*u + 407*u. Factor 0*f + 0 - 2/5*f**3 + 2/5*f**5 + u*f**2 + 0*f**4.
2*f**3*(f - 1)*(f + 1)/5
Let h(f) be the first derivative of -f**6/12 - 3*f**5/10 + f**4/2 + 7741. Factor h(w).
-w**3*(w - 1)*(w + 4)/2
Let f(n) be the first derivative of 2*n**3/3 + 153*n**2 - 834. Factor f(h).
2*h*(h + 153)
Let z be 4/(-18) - (-25711)/315. Let g = 3261/40 - z. Solve 0*f + 0 - g*f**2 = 0 for f.
0
Let y(o) = -o**3 + 15*o**2 - 36*o + 7. Let q be y(12). Let d be -9 - (38/(-2) + q). Factor -2/9*c**4 - 2/9*c + 2/9*c**2 + 2/9*c**d + 0.
-2*c*(c - 1)**2*(c + 1)/9
Factor -2/3*b**2 + 844/3*b - 89042/3.
-2*(b - 211)**2/3
Suppose -z = 8*y - 9*y - 4, -2*z + 8 = y. Let a be 3 + (y/(-13))/3. Factor 4/7*g**4 + 16*g + 48/7 + 32/7*g**a + 92/7*g**2.
4*(g + 1)*(g + 2)**2*(g + 3)/7
Suppose -4*g = -2*x - 38, 0 = -3*g + 187*x - 195*x - 95. Factor -6/5*u + 0 + 4/5*u**g - 1/5*u**4 - 1/5*u**2.
-u*(u - 3)*(u - 2)*(u + 1)/5
Let o(i) be the second derivative of i**4/3 + 1436*i**3/3 - 1438*i**2 - 902*i. Find j, given that o(j) = 0.
-719, 1
Suppose 24*k + 793 = 2329. Let m = 19 + -10. Factor -18*g**3 + 15*g + m - 2*g**4 - 6*g**2 - g**4 - k*g**5 + 67*g**5.
3*(g - 3)*(g - 1)*(g + 1)**3
Let z(q) be the third derivative of q**8/560 + 3*q**7/175 - 13*q**6/200 - 21*q**5/50 - 1553*q**2. Solve z(r) = 0 for r.
-7, -2, 0, 3
Let i be 7 + -3 - (5 + -5 + 0 - 1804/(-462)). Suppose -16/21 - 6/7*v**4 - 20/7*v - i*v**5 - 86/21*v**2 - 58/21*v**3 = 0. Calculate v.
-4, -2, -1
Find b such that -5/4*b**5 + 95/4*b**4 - 105/4 + 5/2*b**2 + 105/2*b**3 - 205/4*b = 0.
-1, 1, 21
Let j(k) be the first derivative of -k**5/30 - 2*k**4/9 - 4*k**3/9 + 28*k - 4. Let c(s) be the first derivative of j(s). Factor c(m).
-2*m*(m + 2)**2/3
Let f(m) be the first derivative of -10 + 38/13*m**2 + 2/39*m**3 + 722/13*m. What is w in f(w) = 0?
-19
Suppose 744 - 706 = 19*k. Let b(n) be the first derivative of -5/16*n**2 + 7/24*n**3 - 1/4*n - k. Factor b(z).
(z - 1)*(7*z + 2)/8
Let a(o) be the third derivative of 0*o + 0*o**4 - 85*o**2 + 1/45*o**5 + 0 + 0*o**3 + 1/180*o**6 - 1/2016*o**8 - 1/630*o**7. Find g, given that a(g) = 0.
-2, 0, 2
Let u(s) be the second derivative of 2*s**7/21 + 1086*s**6/5 + 884547*s**5/5 + 53367669*s**4 - 4*s - 237. Factor u(p).
4*p**2*(p + 543)**3
Find c such that -5412*c + 10*c**3 + 9*c**3 - 280*c**2 + 17*c**3 - 40*c**3 - 17424 = 0.
-33, -4
Let u(x) be the second derivative of 57/100*x**5 + 8*x + 0*x**2 + 2*x**3 + 7/50*x**6 + 2 - 19/5*x**4. Determine k so that u(k) = 0.
-5, 0, 2/7, 2
Solve 39/5*m - 324/5 - 1/5*m**2 = 0 for m.
12, 27
Let i(a) = -3*a**3 - 4*a**2 - a - 17. Let m be 52/(-3) + (-9)/(-27). Let q(y) = y**3 + y**2 + 6. Let b(x) = m*q(x) - 6*i(x). Determine o, given that b(o) = 0.
-6, -1, 0
Let s = 20857/564597 + 2/20911. Let n(j) be the