1)*(t + 1)**2/3
Let 3/7*o**2 + 0 + 4/7*o - 1/7*o**3 = 0. What is o?
-1, 0, 4
Let a be 118/(-28) + (-891)/(-198). Factor 4/7*r**2 - 2/7 - a*r.
2*(r - 1)*(2*r + 1)/7
Suppose 88*p - 440 = -0*p. Factor -1/4*c**p + 0*c + 1/4*c**3 - 1/4*c**2 + 0 + 1/4*c**4.
-c**2*(c - 1)**2*(c + 1)/4
Suppose -20*k + 146 + 74 = 0. Let i be ((-1386)/(-24))/k - 3. Determine s, given that -i*s + 3/4*s**2 + 3/2 = 0.
1, 2
Suppose -20*h**4 - 50*h**5 - 34*h**4 + 12*h**3 + 34*h**3 + 54*h**2 + 4*h = 0. Calculate h.
-1, -2/25, 0, 1
Let d(c) be the second derivative of -c**4/72 - 53*c**3/36 - 11*c + 2. Find o, given that d(o) = 0.
-53, 0
Factor 148/7 - 2/7*y**2 + 146/7*y.
-2*(y - 74)*(y + 1)/7
Suppose 4*c = -0*c + 40. Factor -35*x + 25*x**2 - 5*x**3 - 2 + 7 + c.
-5*(x - 3)*(x - 1)**2
Let s(l) = -7*l**2 - 96*l + 1125. Let u(h) = -3*h**2 - 48*h + 564. Let b(c) = 4*s(c) - 9*u(c). Factor b(m).
-(m - 24)**2
Let j(t) be the second derivative of 3/4*t**3 - 2*t + 2/15*t**5 + 0 - 5/2*t**2 - 1/2*t**4. Let d(f) be the first derivative of j(f). Factor d(n).
(4*n - 3)**2/2
Let f(v) be the first derivative of 0*v**2 + 0*v**4 - v + 3/20*v**5 + 0*v**3 - 4. Let p(m) be the first derivative of f(m). Factor p(w).
3*w**3
Let a be (291*(-7)/(-147))/((-1)/5). Let y = -69 - a. Determine g, given that -y*g**3 + 0 + 0*g + 0*g**2 = 0.
0
Let c(i) = 2*i - 2. Let m be c(3). Let r be (2 - -2)/((-1)/4*-2). Factor -r*p - 2*p**4 - 2*p**2 + 3*p**3 + 4*p**2 + p**3 + m*p.
-2*p*(p - 2)*(p - 1)*(p + 1)
Suppose -208/7*v - 24*v**2 + 192/7 + 22/7*v**4 + 60/7*v**3 - 6/7*v**5 = 0. What is v?
-2, 2/3, 3, 4
Let u(w) be the first derivative of 0*w**2 - 1/4*w**4 - 4/3*w**3 + 4*w - 25 + 3/20*w**5 + 1/24*w**6. Factor u(l).
(l - 2)*(l - 1)*(l + 2)**3/4
Let m(r) be the third derivative of 1/10*r**5 + 1/120*r**6 + r**3 + 11/24*r**4 - 21*r**2 + 0 + 0*r. Factor m(y).
(y + 1)*(y + 2)*(y + 3)
Let m(o) be the third derivative of 1/16*o**6 - 23*o**2 + 5/12*o**4 + 0*o**3 + 0 + 0*o - 5/96*o**8 + 4/21*o**7 - 2/3*o**5. Find g such that m(g) = 0.
-1, 0, 2/7, 1, 2
Let s be 1792/3780 - 2/27. Determine n so that 4/5*n + 2*n**2 + 8/5*n**3 + s*n**4 + 0 = 0.
-2, -1, 0
Let u(c) be the second derivative of -14*c + 0 + 0*c**2 + 5/12*c**4 + 35/6*c**3. Suppose u(k) = 0. What is k?
-7, 0
Let x = -1133 + 14737/13. Factor -24/13*c - x - 2/13*c**4 - 12/13*c**3 - 2*c**2.
-2*(c + 1)**2*(c + 2)**2/13
Let 3*i**2 - 4/5 + 4/5*i + 2/5*i**3 - i**4 = 0. What is i?
-1, 2/5, 2
Let n(o) be the first derivative of -o**6/180 + o**4/12 - 20*o**3/3 + 20. Let t(k) be the third derivative of n(k). Factor t(i).
-2*(i - 1)*(i + 1)
Let n(c) be the first derivative of 4*c**5/35 - 2*c**4/7 - 32*c**3/21 + 115. What is j in n(j) = 0?
-2, 0, 4
Let g(k) be the second derivative of k**5/24 + 5*k**4/36 + 5*k**3/36 + 7*k. Factor g(t).
5*t*(t + 1)**2/6
Let i(f) be the second derivative of f**7/39 - 2*f**6/195 - 7*f**5/130 + f**4/39 + 8*f + 3. Find d such that i(d) = 0.
-1, 0, 2/7, 1
Let a(o) be the second derivative of 5*o**2 - 5/6*o**4 + 1/4*o**5 + 0 - 5/6*o**3 - 14*o. Determine t so that a(t) = 0.
-1, 1, 2
Suppose -64 = -0*n - 2*n + 3*b, -3*b + 66 = 3*n. Find z such that -3*z + 3 + n*z**3 - 105*z**5 + 69*z**5 + 13*z**3 + 24*z**4 - 27*z**2 = 0.
-1, -1/3, 1/2, 1
Suppose -46 - 35 = 9*z. Let q be z/(-18)*(-2)/3*-9. Solve 6/7*n**2 - 4/7*n + 0 - 2/7*n**q = 0.
0, 1, 2
Factor 2/3*o**3 - 4/3*o**2 + 0 - 2*o.
2*o*(o - 3)*(o + 1)/3
Let p(z) be the first derivative of -23 - 6/7*z - 2/21*z**3 + 4/7*z**2. Factor p(h).
-2*(h - 3)*(h - 1)/7
Let l(o) be the second derivative of 0*o**5 + 5/2*o**2 - 1/90*o**6 + 0 - 1/18*o**3 + 6*o + 1/24*o**4. Let m(y) be the first derivative of l(y). Factor m(x).
-(x + 1)*(2*x - 1)**2/3
Let i(u) be the second derivative of -u**4/6 - 10*u**3/3 - 25*u**2 + 58*u. Factor i(y).
-2*(y + 5)**2
Let o = -36 - -42. Suppose -o = 3*g - 5*g. Factor 0*q - 4/5*q**2 + 2/5*q**g + 0.
2*q**2*(q - 2)/5
Solve -2/15*o**3 - 46/3*o + 30 + 38/15*o**2 = 0 for o.
5, 9
Let g(p) be the first derivative of 0*p + 0*p**2 + 3/20*p**5 + 3*p**4 + 16*p**3 + 32. Find a such that g(a) = 0.
-8, 0
Suppose 1/5*l**3 - 216/5 + 108/5*l - 18/5*l**2 = 0. Calculate l.
6
Let v(x) be the first derivative of x**6/24 + 23*x**5/10 + 481*x**4/16 - 92*x**3 + 72*x**2 + 18. Factor v(a).
a*(a - 1)**2*(a + 24)**2/4
Find m, given that -3/2*m - 1/2*m**2 + 2 = 0.
-4, 1
Let k(i) be the first derivative of i**4/2 - 8*i**3/3 + 4*i**2 + 78. Factor k(l).
2*l*(l - 2)**2
Let v(w) be the third derivative of 0 - 1/2340*w**6 - 3*w**2 - 1/156*w**4 + 2*w**3 + 1/390*w**5 + 0*w. Let m(i) be the first derivative of v(i). Factor m(j).
-2*(j - 1)**2/13
Let g = -2503/152 + 320/19. Factor 3/8*j**3 - g*j**2 - 9/8 - 15/8*j.
3*(j - 3)*(j + 1)**2/8
Let s = -14 + -17. Let k = -28 - s. Factor 0 - 2/5*m**4 - 2/5*m + 2/5*m**k + 2/5*m**2.
-2*m*(m - 1)**2*(m + 1)/5
Factor -3/2*x**2 - 90*x + 183/2.
-3*(x - 1)*(x + 61)/2
Let f = 16 - 7. Suppose -f - 7 = -2*n. Factor n*z**2 + 5*z**3 + 6*z**2 + 10*z**2 + 36*z - z**3.
4*z*(z + 3)**2
Let y(m) = -m**2 - 5*m + 3. Let p be y(0). Suppose 12 = 3*h - 4*i, 19 - 3 = 4*h - p*i. Factor o + 3/2*o**5 + 0 - 9/2*o**2 - 11/2*o**h + 15/2*o**3.
o*(o - 1)**3*(3*o - 2)/2
Let f be ((-6)/45)/(-1)*-6 + (-6322)/(-6540). Solve 4/3*g**2 + 0 - f*g**5 - 5/2*g**3 - 4/3*g**4 + 8/3*g = 0 for g.
-4, -1, 0, 1
Let y(d) = -9*d**3 - 36*d + 24. Let k(i) = 2*i**3 - 6 - 2*i + 10*i + i. Let z(j) = -21*k(j) - 5*y(j). Factor z(f).
3*(f - 1)**2*(f + 2)
Factor -208/9*b**2 + 32/9*b**3 - 98/3 + 434/9*b.
2*(b - 3)*(4*b - 7)**2/9
Let f be -3 + 0 - (-5335)/1450. Let u = f + 7/58. Factor u*z**2 - 4/5*z**4 + 2/5*z - 2/5*z**5 + 0 + 0*z**3.
-2*z*(z - 1)*(z + 1)**3/5
Let q = -7131/7 + 1019. Factor 0*k - 2/7*k**2 + q.
-2*(k - 1)*(k + 1)/7
Factor -3/5*f**2 - 42/5*f + 0.
-3*f*(f + 14)/5
Let x(k) = k**3 - k**2 - 1. Let a(g) be the first derivative of -3*g**4/4 + 2*g**3/3 + 3*g**2/2 + 4*g - 8. Let t(h) = a(h) + 2*x(h). Factor t(p).
-(p - 2)*(p + 1)**2
Suppose 35 = -8*m + 51. Let d(n) be the third derivative of -4*n**m + 1/40*n**4 + 0 + 1/300*n**5 - 2/15*n**3 + 0*n. Solve d(q) = 0 for q.
-4, 1
Let z(n) be the second derivative of n**7/252 - n**6/60 - 3*n**5/8 + 3*n**4/8 + 18*n**3 + 81*n**2 + 4*n + 53. What is w in z(w) = 0?
-3, 6
Suppose 218*z + 67 - 992 = -53. Find f such that 0*f**3 - 1/2*f**2 + 1/6*f**z - 1/3*f + 0 = 0.
-1, 0, 2
Let y(j) be the second derivative of -j**7/7140 - j**6/6120 + 11*j**4/12 + 3*j. Let c(h) be the third derivative of y(h). Factor c(u).
-2*u*(3*u + 1)/17
Let g be (-3 - (-1 + -2)) + (-2)/(-15). Let p = g + 4/15. Factor -p*f + 4/5 - 2/5*f**2.
-2*(f - 1)*(f + 2)/5
Let r(h) be the first derivative of 3*h**4 - 44/3*h**3 - 13 + 24*h**2 - 16*h. Factor r(l).
4*(l - 2)*(l - 1)*(3*l - 2)
Let t = -2/34025 + 13612/34025. Factor 1/5*p**3 - 4/5*p + 8/5 - t*p**2.
(p - 2)**2*(p + 2)/5
Suppose 3*o - 2*o - 4*j = -22, 2*o = -2*j - 14. Let b be (-19)/o + (-16)/40. Factor 1/2*u**5 - 1/2*u**4 - b*u**3 + 0 + 5/2*u**2 - u.
u*(u - 1)**3*(u + 2)/2
Let a be -1 - 4*(-1)/(-2). Let x be -2 + (-4)/(-4) - a. Find t such that -t**2 - x*t**2 - 2*t**3 + t + t**2 + 3*t**3 = 0.
0, 1
Let k = 9369/5 + -1873. Factor -8/5*l + k + 4/5*l**2.
4*(l - 1)**2/5
Let j(o) be the first derivative of -5*o**6/6 + 6*o**5 - 5*o**4 - 10*o**3 + 25*o**2/2 + 309. Let j(c) = 0. What is c?
-1, 0, 1, 5
Let o(u) be the second derivative of u**7/84 - u**6/20 + 3*u**5/40 - u**4/24 + u + 23. Factor o(v).
v**2*(v - 1)**3/2
Let y(p) be the first derivative of 0*p**4 + 3/2*p**2 - 1/2*p**6 + 2*p**3 + 13 - 6/5*p**5 + 0*p. Factor y(q).
-3*q*(q - 1)*(q + 1)**3
Let u(c) be the second derivative of c**6/55 - c**5/55 - c**4/22 + 2*c**3/33 + 360*c. Find k such that u(k) = 0.
-1, 0, 2/3, 1
Let v(k) be the first derivative of -196*k**5/5 + 126*k**4 - 80*k**3 + 16*k**2 - 210. Let v(t) = 0. What is t?
0, 2/7, 2
Let x(r) = 4*r**3 + 5*r**2 - 13*r - 6. Let c be x(-6). Let u be ((-8)/6)/(170/c). Find h such that -8/5*h**4 + 4/5 + u*h**2 - 2/5*h**3 + 22/5*h = 0.
-1, -1/4, 2
Let s(k) = -5*k + 35. Let a be s(8). Let m be -5*((5 - 1) + a). Solve 14/5*x + 44/5*x**3 + 2/5 + 26/5*x**4 + 36/5*x**2 + 6/5*x**m = 0.
-1, -1/3
Let w = 12 + -9. Suppose -37 = -w*n + 2*y, -2*n = 2*n + 2*y - 26. Factor 4*s**5 + 3*s**5 - n*s**5 + 4*s**3 - 2*s.
-2*s*(s - 1)**2*(s + 1)**2
Suppose -4*z = -z + 5*q - 31, 0 = -z - 3*q + 17. Suppose -6 = -4*b + 