(a + 1)/4
Solve 897*m**3 - 4*m - 900*m**3 - 5*m - 12*m**2 = 0 for m.
-3, -1, 0
Factor 94/11 - 2/11*a**2 + 92/11*a.
-2*(a - 47)*(a + 1)/11
Let j be 5*(-14)/(-175)*1. Let d = 98 - 487/5. Factor 0 - 7/5*o**2 + 8/5*o**3 + j*o - d*o**4.
-o*(o - 1)**2*(3*o - 2)/5
Let y(m) be the first derivative of -3*m**5/20 - 3*m**4/8 + m**3/4 + 3*m**2/4 + 96. Let y(s) = 0. What is s?
-2, -1, 0, 1
Let v = 3/1963 + 1954/5889. Factor v*q**2 + 4/3 + 4/3*q.
(q + 2)**2/3
Let y(o) = 15*o**4 - 21*o**3 - 3*o**2 + 21*o. Let t(h) = -h**4 + 2*h**3 - h**2 - h. Let x(u) = 12*t(u) + y(u). Factor x(n).
3*n*(n - 1)**2*(n + 3)
Let k(g) be the second derivative of 2*g**7/63 - g**5/3 + 8*g**3/9 - 2*g. Let k(b) = 0. What is b?
-2, -1, 0, 1, 2
Suppose 8 = 2*x + c - 0*c, 4*x = 4*c + 16. Suppose -5*s + 50 = x*b, 0*s - s + 4*b - 14 = 0. Factor -6 - o + s + 2*o**2 + o**5 - 2*o**4.
o*(o - 1)**3*(o + 1)
Let l(c) be the second derivative of c**6/140 + c**5/30 - c**4/14 + 5*c**2/2 - 8*c. Let v(f) be the first derivative of l(f). Determine x so that v(x) = 0.
-3, 0, 2/3
Factor 65/3*m + 1 - 22/3*m**2.
-(m - 3)*(22*m + 1)/3
Let g(v) be the third derivative of 0 - 3/20*v**5 - 1/2*v**3 - 3/8*v**4 + 0*v - 13*v**2 - 1/40*v**6. Factor g(t).
-3*(t + 1)**3
Let a(m) = -5*m + 22. Let n be a(5). Let b be (n - -4 - 0)*(1 + -1). Solve b + 4/7*r - 10/7*r**2 = 0 for r.
0, 2/5
Suppose -13*d**3 - 5261 - 678*d + 1511 - 1839*d + 342*d - 156*d**2 + 10*d**3 = 0. What is d?
-25, -2
Let w be -9*((-456)/(-54) + -9). Find n such that -12/5*n**3 - 16/5*n**4 + 16/5*n + 0 - 4/5*n**w + 16/5*n**2 = 0.
-2, -1, 0, 1
What is v in -v - 1 + 1/4*v**3 + 1/4*v**2 = 0?
-2, -1, 2
Let q be 5/(-6 - 55/(-10)). Let i be ((-4)/q)/((-4)/(-10)) - 1. Factor i - 4/13*v**2 - 2/13*v**5 + 2/13*v + 0*v**3 + 4/13*v**4.
-2*v*(v - 1)**3*(v + 1)/13
Factor 12/11*n**2 + 0 + 16/11*n + 2/11*n**3.
2*n*(n + 2)*(n + 4)/11
Let w(x) = -x**3 - 12*x**2 - 12*x - 11. Let h be w(-11). Suppose h = -2*j + 7 + 3. Suppose -5*q**4 + 3*q**4 + q + 4*q**3 - j*q + 2*q**2 = 0. What is q?
-1, 0, 1, 2
Let b be 3 - 11334/(-15120)*-4. Let l(m) be the third derivative of -1/60*m**5 + b*m**7 + 1/18*m**4 - 1/180*m**6 + 3*m**2 + 2/9*m**3 + 0*m + 0. Factor l(d).
(d - 2)**2*(d + 1)**2/3
Let 3*g - 56 + 19 + 3*g**3 - 12*g**2 + 0*g + 22 + 33 = 0. Calculate g.
-1, 2, 3
Let a(f) be the second derivative of -f**6/45 + f**5/6 - f**4/9 - 8*f**3/9 - 21*f. Solve a(t) = 0.
-1, 0, 2, 4
Factor -4*h**3 + 2*h**2 + 2*h**3 + 8*h**5 - 6*h**5 - 4*h**4 + 2*h**2.
2*h**2*(h - 2)*(h - 1)*(h + 1)
Let k(i) = 6*i**5 - 30*i**4 + 28*i**3 - 4*i**2. Let u(b) = -5*b**5 + 29*b**4 - 29*b**3 + 3*b**2. Let m(g) = -3*k(g) - 2*u(g). Factor m(h).
-2*h**2*(h - 3)*(2*h - 1)**2
Let h(l) be the second derivative of l**4/4 + 3*l**3/2 - 27*l**2 - l - 349. Factor h(y).
3*(y - 3)*(y + 6)
Let b(a) = a**3 + 3*a**2 + a - 1. Let q(s) = s**3 + s**2 + s + 1. Suppose j + 7*j + 16 = 0. Let o(c) = j*q(c) - 2*b(c). Solve o(t) = 0.
-1, 0
Let i(n) be the first derivative of -n**5/50 + 7*n**4/15 - 5*n**3/3 + 12*n**2/5 + n - 6. Let x(s) be the first derivative of i(s). Factor x(c).
-2*(c - 12)*(c - 1)**2/5
Let w(z) be the third derivative of z**6/24 + 9*z**5/4 + 35*z**4 - 490*z**3/3 - 129*z**2. Solve w(m) = 0 for m.
-14, 1
Let a(j) be the third derivative of 19*j**2 + 0*j + 1/1155*j**7 - 1/165*j**5 + 1/660*j**6 + 0*j**4 + 0 + 0*j**3. What is q in a(q) = 0?
-2, 0, 1
Suppose 0 - 9/5*a**2 + 3/5*a**4 - 4/5*a + 2*a**3 = 0. Calculate a.
-4, -1/3, 0, 1
Let n(v) be the second derivative of 11/45*v**3 + 0*v**2 - 1/9*v**4 - 1/150*v**5 - 13*v + 0. Let n(k) = 0. Calculate k.
-11, 0, 1
Suppose 3*y + 17 = 23. Suppose -93*h**3 + 6*h**y + h**4 + 5*h**2 - 5*h + 86*h**3 = 0. What is h?
0, 1, 5
Let v(f) be the third derivative of 8*f**2 + 0*f + 1/40*f**4 - 1/300*f**5 + 0*f**3 + 0. Factor v(c).
-c*(c - 3)/5
Let t be (5/(-4))/((27/(-384))/(-9)). Let g = -148 - t. Let -g*h**2 - 18 - 2/9*h**4 + 24*h + 8/3*h**3 = 0. Calculate h.
3
Suppose 14*d - 4*d = 50. Let j(h) be the second derivative of 5*h - 6/35*h**d - 5/42*h**4 + 3/35*h**6 + 0 - 4/7*h**2 + 4/7*h**3. Solve j(a) = 0.
-1, 2/3, 1
Let p be (-4)/10 + 110/25. Suppose 0 = -p*a + 6 + 6. Factor -1 + 4*z**2 - z**3 + 4*z - 3 - a*z**3 + 0.
-4*(z - 1)**2*(z + 1)
Let h(g) = g**2 + 7*g - 41. Let a be h(-11). Find r such that -r**5 - 10*r**4 - 2*r**5 + 0*r**5 + 3*r**3 + a*r**2 + 7*r**4 = 0.
-1, 0, 1
Let o(k) = -k**2 - 12*k. Let j be o(-12). Let f(g) be the first derivative of j*g - 3 + 1/8*g**2 + 1/12*g**3. Find h such that f(h) = 0.
-1, 0
Let u(r) be the third derivative of r**6/180 - r**5/45 - r**4/36 + 2*r**3/9 + 80*r**2 + 2. Suppose u(q) = 0. What is q?
-1, 1, 2
Let b(z) be the third derivative of z**7/252 + 2*z**6/135 - z**5/45 + 5*z**3/2 + 7*z**2. Let g(j) be the first derivative of b(j). Solve g(o) = 0.
-2, 0, 2/5
Let r be (234/(-26) - 13) + 24. Find d, given that 3/8*d**4 - 9/4 + 9/8*d**3 - 9/8*d**r - 33/8*d = 0.
-3, -1, 2
Let x(t) be the first derivative of -4*t**3/21 + 120*t**2/7 - 3600*t/7 - 80. Factor x(k).
-4*(k - 30)**2/7
Let m be (-25)/(-5) + (3 - 0 - 6). Let y(d) be the second derivative of 1/3*d**3 + m*d - 1/10*d**5 + 0*d**4 + 0 + 0*d**2. Factor y(l).
-2*l*(l - 1)*(l + 1)
Let i = 6801/40 + -170. Let r(x) be the third derivative of 0*x - 4*x**2 + 0 - i*x**6 + 1/10*x**5 + 0*x**3 - 1/8*x**4. Factor r(a).
-3*a*(a - 1)**2
Let l(u) be the first derivative of 3*u**5/100 + u**4/20 - 2*u**3/5 - 6*u**2/5 - 15*u + 1. Let t(s) be the first derivative of l(s). Factor t(f).
3*(f - 2)*(f + 1)*(f + 2)/5
Let a(x) be the second derivative of x**6/540 + x**5/270 - x**4/108 - x**3/27 - 5*x**2/2 + 9*x. Let m(w) be the first derivative of a(w). Factor m(v).
2*(v - 1)*(v + 1)**2/9
Let j(t) be the second derivative of -3*t**5/20 + 71*t**4/20 + 61*t**3/10 - 9*t**2/2 - 138*t - 2. Suppose j(m) = 0. Calculate m.
-1, 1/5, 15
Let u(s) be the second derivative of s**6/1620 + s**5/135 - 5*s**4/108 + 17*s**3/6 + 12*s. Let n(z) be the second derivative of u(z). Factor n(v).
2*(v - 1)*(v + 5)/9
Suppose 1 = -7*m + 1. Let z(r) be the second derivative of m*r**2 + 0 + 9/100*r**5 - 1/20*r**4 + 0*r**3 - 3/50*r**6 - 5*r + 1/70*r**7. Solve z(q) = 0.
0, 1
Suppose 4*g = -4, 5*p - 10 - 10 = 5*g. Suppose -4*y - 37*y**3 + 4*y + p*y**4 + 22*y**3 = 0. Calculate y.
0, 5
Factor 18*x**3 + 68 - 52 + 78*x - 58*x**2 - 5*x**4 - 52 + 3*x**4.
-2*(x - 3)**2*(x - 2)*(x - 1)
Determine w so that -12/7 + 2/7*w + 8/7*w**2 + 2/7*w**3 = 0.
-3, -2, 1
Let y = 125 - 118. Let 167 - y*s**4 - 4*s**3 + 6*s**4 - 159 + 3*s**2 + 14*s = 0. What is s?
-4, -1, 2
Let r be 50/300 + 34/12. Let f(o) be the first derivative of -3/4*o**2 + 1 - 1/6*o**r - o. Factor f(m).
-(m + 1)*(m + 2)/2
Let g(l) = -49*l**3 + 143*l**2 + 130*l + 24. Let a be 4*(4 + (-2 - 1)). Let j(s) = s**3 + s**2 - s. Let w(r) = a*j(r) + g(r). Let w(z) = 0. What is z?
-2/5, -1/3, 4
Let p(j) = 131*j - 1306. Let f be p(10). Solve 10/3*o**3 + 2/3*o**f - 14/3*o**2 - 10/3*o + 4 = 0.
-6, -1, 1
Let u(n) be the first derivative of n**6/2 + 33*n**5/5 + 27*n**4 + 16*n**3 - 96*n**2 + 110. Factor u(c).
3*c*(c - 1)*(c + 4)**3
Suppose -8*t = -7*t - 1. Factor -t + 3 + 5*s**2 - 10*s - 2.
5*s*(s - 2)
Let q(h) be the first derivative of -h**3/3 + 10*h**2 - 19*h - 5. Determine s so that q(s) = 0.
1, 19
Let y(g) be the third derivative of -43*g**8/3192 + 2*g**7/95 + 13*g**6/114 - 4*g**5/57 - 29*g**4/76 - 2*g**3/57 - 2*g**2 - 546. Determine z so that y(z) = 0.
-1, -1/43, 1, 2
Let f(j) = -j**2 - 13*j. Let d be f(-13). Suppose -10*a = 4*a - 2*a. Suppose -2/13*s**2 + a - 2/13*s**4 + d*s - 4/13*s**3 = 0. Calculate s.
-1, 0
Factor -81*i**2 + 196*i**2 + 0*i**3 - 3*i**3 - 73*i**2 + 72*i - 3*i**4.
-3*i*(i - 4)*(i + 2)*(i + 3)
Let w be (416/(-91))/((-124)/31). Determine y, given that -w*y**5 - 22/7*y**4 + 0*y + 4/7*y**2 + 0 - 10/7*y**3 = 0.
-2, -1, 0, 1/4
Let n(s) be the first derivative of s**7/28 - 9*s**5/40 - s**4/4 + 7*s - 7. Let b(i) be the first derivative of n(i). Solve b(m) = 0.
-1, 0, 2
Let f(r) be the first derivative of 3*r**5/25 + 3*r**4/10 - 3*r**3/5 - 12*r**2/5 - 12*r/5 + 255. Suppose f(n) = 0. What is n?
-2, -1, 2
Let i(q) be the first derivative of -2/21*q**3 - 7 - 4/7*q - 3/7*q**2. Factor i(j).
-2*(j + 1)*(j + 2)/7
Let l = -233 - -233. Let c(g) be the first derivative of l*g**2 - g**3 + 13 - 21/5*g**5 + 3/2*g**6 + 0*g + 15/4*g**4.