 first derivative of -1/25*h**5 + 1/5*h**3 - 1/20*h**4 - 2/5*h + 53 + 1/10*h**2. Factor q(j).
-(j - 1)**2*(j + 1)*(j + 2)/5
Let l(v) be the third derivative of 1/510*v**5 - 5/204*v**4 + 0*v - 2/17*v**3 + 0 + 60*v**2. Let l(s) = 0. Calculate s.
-1, 6
Let v = -1296607/6 + 216102. Suppose 1 - v*o**2 + 1/6*o = 0. What is o?
-1, 6/5
Let r(t) be the second derivative of -t**5/30 - 31*t**4/18 + 22*t**3/3 + 293*t + 3. Factor r(p).
-2*p*(p - 2)*(p + 33)/3
Let c(b) = -14*b**3 - 7062*b**2 - 8340246*b - 3277716684. Let r(g) = -40*g**3 - 21188*g**2 - 25020738*g - 9833150051. Let x(j) = 17*c(j) - 6*r(j). Factor x(u).
2*(u + 1179)**3
Let u be (8/(-20))/(18/(-45))*5. Let b(q) be the first derivative of 3/20*q**u + 21 + 9/8*q**2 - 3/2*q + 1/4*q**3 - 9/16*q**4. Let b(j) = 0. What is j?
-1, 1, 2
Let n(j) be the third derivative of -4/3*j**5 - 4/21*j**7 - j**2 + 0*j**4 + 21*j + 5/6*j**6 + 5/336*j**8 + 0*j**3 + 0. Solve n(a) = 0 for a.
0, 2, 4
Let v be ((-152)/(-10))/1*5. Let -67*n**3 + v*n + 44*n**2 + 36 + 35*n**3 + 36*n**3 = 0. What is n?
-9, -1
Suppose 2952*u**2 - 36321*u**3 + 432 - 1425*u**5 + 12768*u**3 - 14232*u**2 - 324*u - 10890*u**4 = 0. What is u?
-4, -3, -2/5, 3/19
Suppose -51*k - 151*k - 76 - 79 - 115*k - 298*k + 20*k**2 = 0. Calculate k.
-1/4, 31
Let k(w) be the second derivative of -w**5/4 - 5*w**4/2 - 55*w**3/6 - 15*w**2 + 57*w - 1. Factor k(u).
-5*(u + 1)*(u + 2)*(u + 3)
Let n(p) be the second derivative of -8/5*p**5 + 7 - 2/21*p**7 + 0*p**2 + 2*p + 0*p**3 + 2/3*p**6 + 4/3*p**4. Factor n(z).
-4*z**2*(z - 2)**2*(z - 1)
Let g be -4*5/(20/(-6)). Let o(c) = c**2 - 12*c - 83. Let y be o(-5). Suppose 6*r - 8*r + 2*r**y + g + r**2 + 11*r = 0. What is r?
-2, -1
Let p(k) be the first derivative of -2*k**3/3 + 862*k**2 - 371522*k - 1133. Factor p(u).
-2*(u - 431)**2
Suppose l - 17 = -3*x - 3, -3*x + 2*l - 1 = 0. Let b(t) be the first derivative of -1/5*t**5 + 1/2*t**4 + 19 + 0*t**2 + 0*t + 0*t**x. Solve b(h) = 0 for h.
0, 2
Suppose 24*v + 8 = 28*v. Find x, given that 1536*x + 2832*x**5 - 512 + 39102*x**4 - 4867*x**5 - 17173*x**5 - 26656*x**3 + 4928*x**v = 0.
-1/4, 4/7
Suppose -2*p + 132 - 10 = 0. Let i be (-2)/(-7) - p/(-7). Find c, given that c**4 + c**4 - i*c**5 + 3*c**5 = 0.
0, 1/3
Suppose 303 = 2*s - s + 3*q, -4*s + 1240 = 5*q. Let z = s + -315. Find u, given that z + 1/2*u - 7/4*u**4 + 7/4*u**2 - 1/2*u**3 = 0.
-1, -2/7, 0, 1
Let s be (-3 + 855/114)*540/55. Suppose 2/11*x**3 + 1458/11 + s*x + 54/11*x**2 = 0. Calculate x.
-9
Let t(x) be the second derivative of x**3/6 + 3*x**2/2 - 37*x. Let l be t(-1). Factor -10 - 2*k**l - k**4 - 5*k - k**5 - 5 + 18 + 6*k**3.
-(k - 1)**3*(k + 1)*(k + 3)
Let f be -3*(20/21*(136/16 - 12))/2. Find y, given that 0*y**2 + 270/13*y + 162/13 - 160/13*y**4 - 240/13*y**3 - 32/13*y**f = 0.
-3/2, 1
Let s be ((-27)/12)/((-6)/(-5) - 4095/2100). Let l(o) be the first derivative of 2/3*o**s - 2/5*o**5 + 0*o + 0*o**2 - 15 + 0*o**4. Factor l(k).
-2*k**2*(k - 1)*(k + 1)
Let 28*o - 23/5*o**2 - 1/5*o**3 + 0 = 0. Calculate o.
-28, 0, 5
Suppose -2*g + 124 = 4*x + 136, g + 6 = 0. Let y(r) be the second derivative of -1/5*r**5 + 1/3*r**3 + r + x + 7/12*r**4 + 0*r**2. Factor y(i).
-i*(i - 2)*(4*i + 1)
Let f(y) be the first derivative of -y**6/15 - 4*y**5/5 - 2*y**4 + 4*y**3/3 + 21*y**2/5 + 7812. Determine l, given that f(l) = 0.
-7, -3, -1, 0, 1
Let a(b) = -16*b**3 + 25*b**2 - 173*b + 154. Let o(v) = -3*v**3 - v + 2. Let s(d) = -a(d) + 5*o(d). Find j such that s(j) = 0.
1, 12
Let p(o) = -o + 4. Let u be p(2). Let i(v) = -164*v + 1645. Let y be i(10). Find f such that 5*f + y*f**3 + 8*f**2 + 5*f**u - 3*f**2 = 0.
-1, 0
Let o(t) be the first derivative of -9/2*t**2 - 5/48*t**3 - 1/480*t**5 + 0*t - 1/32*t**4 - 6. Let b(c) be the second derivative of o(c). Factor b(l).
-(l + 1)*(l + 5)/8
Let g(b) be the second derivative of -b**5/45 + b**4/3 + 6*b**3 + 30*b**2 + 2*b + 51. Factor g(j).
-4*(j - 15)*(j + 3)**2/9
Factor 236/5 - 1/5*q**2 + 11*q.
-(q - 59)*(q + 4)/5
Let b(d) = 2*d**3 + 7*d**2 + 8*d + 6. Let j = -719 + 717. Let c be b(j). Suppose -14/3*p**c + 4*p**3 - 4*p**5 + 0*p + 13/3*p**4 + 1/3 = 0. Calculate p.
-1, -1/4, 1/3, 1
Let z(d) be the second derivative of -2*d**6/75 + 174*d**5/5 - 84388*d**4/5 + 49778516*d**3/15 - 144825414*d**2/5 - 1027*d + 2. What is s in z(s) = 0?
3, 289
Let b(a) be the second derivative of a**5/200 + 109*a**4/120 + 43*a**3/12 + 107*a**2/20 + 2*a + 1562. Factor b(p).
(p + 1)**2*(p + 107)/10
Let g(f) = 14*f**4 - 29*f**3 + 15*f**2. Suppose -4*j - 26 = 2*c, 29 - 4 = -5*c. Let a(y) = 5*y**4 - 10*y**3 + 5*y**2. Let t(r) = j*g(r) + 11*a(r). Factor t(w).
-w**2*(w - 5)*(w - 1)
Suppose 3*k = g - 16, 4*g + 4*k = 2*k + 22. Let i be g/(-49)*-1*6. Suppose -6/7*a**4 + 0*a + 0 - 3/7*a**5 + i*a**2 + 3/7*a**3 = 0. What is a?
-2, -1, 0, 1
Let w = -127 + 132. Suppose 3 = w*u - 17. Solve -u*p**2 + p**2 - 4*p - 7 + 6 = 0 for p.
-1, -1/3
Factor -b**2 + 5*b**2 - 5656025*b + 5656437*b - 840.
4*(b - 2)*(b + 105)
Let p = 397659/2 + -198822. Factor -p*w - 25 + 5/2*w**2.
5*(w - 5)*(w + 2)/2
Let f be (-9 - -9) + 27 + -5 + -14. Factor -15*m - 8 - f*m**2 - 3/4*m**3 + 1/4*m**4.
(m - 8)*(m + 1)*(m + 2)**2/4
Factor 5*p**4 - 45*p + 11*p**2 + 240 - 115*p**2 + 25*p - 76*p**2 - 45*p**3.
5*(p - 12)*(p - 1)*(p + 2)**2
Let y(m) be the third derivative of 0*m + 1/100*m**6 + 14*m**2 - 4/75*m**5 + 0 - 2/15*m**3 + 7/60*m**4. Factor y(s).
2*(s - 1)**2*(3*s - 2)/5
Determine o, given that -314/3*o + 14*o**3 + 30*o**2 + 60 + 2/3*o**4 = 0.
-18, -5, 1
Let q(m) = 20*m - 116. Let w be q(6). Find t such that -t**2 - w*t**2 - 4587 + 4537 - 35*t = 0.
-5, -2
Let l(t) be the first derivative of -t**6/9 + 2*t**5/3 - 3*t**4/2 + 14*t**3/9 - 2*t**2/3 + 4506. Factor l(n).
-2*n*(n - 2)*(n - 1)**3/3
Let -303*o**2 + 105*o - 3*o**4 + 2*o**4 + 3861*o**3 - 330*o - 3940*o**3 = 0. What is o?
-75, -3, -1, 0
Let g = -4/28379 + 28395/113516. Factor -g*r**3 - 1/4*r**4 + 21/4*r**2 + 5 + 41/4*r.
-(r - 5)*(r + 1)**2*(r + 4)/4
Let p = -450 - -455. Let u(q) be the second derivative of 12/7*q**2 - 3/140*q**p + 0 - 6/7*q**3 + 3/14*q**4 - 15*q. Factor u(d).
-3*(d - 2)**3/7
Let q be 14200/(-67592) - (-12)/34. Determine n so that -2/7*n**3 + 0 + q*n**5 + 1/7*n**4 + 0*n + 0*n**2 = 0.
-2, 0, 1
Let 8/7 - 2/21*k**3 - 38/21*k + 16/21*k**2 = 0. What is k?
1, 3, 4
Let m(y) be the third derivative of y**6/320 + 337*y**5/160 + 1995*y**4/64 + 2979*y**3/16 + 73*y**2. Factor m(s).
3*(s + 3)**2*(s + 331)/8
Let y(v) be the first derivative of v**4/8 + 7*v**3/6 + 7*v**2/2 + 4*v - 3499. Factor y(i).
(i + 1)*(i + 2)*(i + 4)/2
Let b(d) be the third derivative of 1 - 1/15*d**6 + 1/15*d**5 + d**2 - 2/105*d**7 + 1/3*d**4 + 0*d + 0*d**3. Suppose b(i) = 0. Calculate i.
-2, -1, 0, 1
Determine d so that -1588*d + 3181*d + 4*d**2 - 100 - 1593*d = 0.
-5, 5
Factor -448/3*b - 1088 - 20/9*b**2 + 2/9*b**3.
2*(b - 34)*(b + 12)**2/9
Let p be (26/780*-27)/((18/15)/(-2)). Solve 1/2*s**3 - p*s**2 - 5/2*s + 1/2*s**4 - 1 = 0.
-1, 2
Let r(i) = -10*i**2 + 287*i + 89. Let q be r(29). Let b(g) be the second derivative of -1/4*g**4 + 0 - 5/2*g**3 + 0*g**q + 16*g. Factor b(w).
-3*w*(w + 5)
Let k be (-7940)/(-73842)*62/10. Factor -2 + 4/3*g + k*g**2.
2*(g - 1)*(g + 3)/3
Let d(g) be the first derivative of -7*g**4/10 + g**3/15 + 2*g**2/5 + 42*g - 16. Let m(z) be the first derivative of d(z). Factor m(k).
-2*(3*k - 1)*(7*k + 2)/5
Factor 6065*a - 28*a**2 - 1379*a + 3120 + 37*a**2.
3*(a + 520)*(3*a + 2)
Factor -77 + 26/3*v + 1/3*v**2.
(v - 7)*(v + 33)/3
Let h be ((-31430)/700 + 45)/((-1)/(-12)). Factor -4/5*f - 2/5*f**3 + 0 + h*f**2.
-2*f*(f - 2)*(f - 1)/5
Let f(m) = 75*m**3 - m**2 - 2*m - 1. Let i be f(-1). Let v = -70 - i. Suppose 1489*z**2 - 1 - v - 1492*z**2 + 9*z = 0. Calculate z.
1, 2
Let y be 61 + (-78)/(-2457)*-1908. Factor 18/7 - 3/7*b**2 - y*b.
-3*(b - 2)*(b + 3)/7
Let s(q) be the first derivative of -1/4*q**3 - 1/24*q**4 - 44*q - 3 + 0*q**2. Let f(g) be the first derivative of s(g). Let f(o) = 0. Calculate o.
-3, 0
Suppose 0*d = 2*w + 2*d, w - 5*d = 24. Suppose w*f + 32 = 12*f. Let 2*m**5 + 20*m**4 - 45*m**f - 4*m**5 - 2*m**2 + 27*m**4 + 2*m**3 = 0. Calculate m.
-1, 0, 1
Let h(f) be the second derivative of f**7/22680 - f**6/720 - 11*f**5/540 - 2*f**4 - 2*f + 22. Let y(s) be the third derivative of h(s). Factor y(x).
(x - 11)*(x + 2)/9
Let