 -6*o**4 + 40*o**3 - 6*o**2 - 76*o - 8. Let y(v) = -4*v**4 + 27*v**3 - 5*v**2 - 51*v - 5. Let m(k) = 5*t(k) - 8*y(k). What is h in m(h) = 0?
-1, 0, 2, 7
Let l(r) = 35*r**2 + 2595*r - 1260. Let p(i) = -i**2 - 73*i. Let d(w) = -l(w) - 30*p(w). Solve d(z) = 0.
-84, 3
Let r(t) be the second derivative of t**6/1800 + t**5/40 - 17*t**4/60 - t**3/6 - 15*t**2 + t - 58. Let u(b) be the second derivative of r(b). Factor u(a).
(a - 2)*(a + 17)/5
Let -16/3 + 34*v - 140/3*v**2 = 0. What is v?
8/35, 1/2
Let j(c) be the second derivative of c**6/60 + 289*c**5/40 + 287*c**4/24 - 289*c**3/12 - 72*c**2 - 2*c + 852. Suppose j(q) = 0. Calculate q.
-288, -1, 1
Let w(n) be the third derivative of n**5/180 + 55*n**4/12 + 328*n**3/9 - 3*n**2 + n + 408. Suppose w(y) = 0. Calculate y.
-328, -2
Solve -381*h**4 + 30*h**4 - 1995*h**3 - 1819*h**4 - 5*h**5 + 170*h**4 = 0 for h.
-399, -1, 0
Suppose -3*h + a + 39 = -5, 0 = -a + 4. Factor -313 + 343 + 5*g**2 - h*g - 3*g**2.
2*(g - 5)*(g - 3)
Suppose -351 - 569 = -115*w. Let k(g) be the first derivative of 2/3*g**6 + w*g**2 + 24/5*g**5 - 3 + 0*g + 16*g**3 + 13*g**4. Factor k(i).
4*i*(i + 1)**2*(i + 2)**2
Suppose -7*o - 14 + 350 = 0. Factor -2*y**3 + 69*y**2 - 1458*y + 40*y**2 + 47*y**2 - o*y**2.
-2*y*(y - 27)**2
Let t be 2/3*19287/4286. Solve 8/3*u**2 + 1/3*u**t + 0 + 7/3*u = 0.
-7, -1, 0
Let s(k) = -k**3 + 2*k**2 - k - 5. Let y(h) = -15*h**3 + 969*h**2 - 2132*h + 375. Let b(g) = -57*s(g) + 3*y(g). Let b(j) = 0. What is j?
-235, 1/4, 2
Suppose -4*b + 74 = -2*q - 12, 0 = -q - 1. Suppose -22*p = -29*p + b. Solve -2*u**2 + 0*u + 16/9*u**4 + 0 - 1/3*u**5 - 5/3*u**p = 0.
-2/3, 0, 3
Suppose -k - 2 = 0, -93*k + 91*k = 2*c. Factor 2646/11*t + 18522/11 + 2/11*t**3 + 126/11*t**c.
2*(t + 21)**3/11
Suppose 0 = 3*s + 4*a - 243, -18*s + 2*a + 379 = -13*s. Let v be 0 + 5 + ((-294)/s - 1). Factor 6/11*g + v*g**2 + 4/11.
2*(g + 1)*(g + 2)/11
Let m = 66076 + -66073. Solve -3/2*l - 4 - 1/4*l**m + 9/4*l**2 = 0.
-1, 2, 8
Factor 3/4*h**3 + 3/4*h**2 + 0 - 9/2*h.
3*h*(h - 2)*(h + 3)/4
Let u be 5*(-1)/(-21)*3. Let o be 10 + 42*(-11)/66. Let 4/7*m**2 - 3/7*m**o + u*m - 2/7 = 0. What is m?
-1, 1/3, 2
Let g(k) be the first derivative of -5*k**5/54 + 5*k**4/18 - k**3/3 - 4*k**2 + 3*k + 25. Let x(u) be the second derivative of g(u). What is w in x(w) = 0?
3/5
Let o be ((-4896)/170 - -32) + ((-2)/(5 + -3) - -9). Factor 52/5*d - 1/5*d**3 + 2*d**2 + o.
-(d - 14)*(d + 2)**2/5
Let x(a) be the third derivative of -a**5/240 + 35*a**4/2 - 29400*a**3 + 38*a**2 - a + 16. Factor x(t).
-(t - 840)**2/4
Let q(t) be the first derivative of 2*t**6/3 - 4*t**5/5 - 291*t**4 + 3476*t**3/3 - 1732*t**2 + 1152*t - 6081. Factor q(h).
4*(h - 16)*(h - 1)**3*(h + 18)
Let d be (-1)/(-1)*1 + 2. Factor -35*j**2 - 11 - 49 - 193*j**d + 188*j**3 - 80*j.
-5*(j + 2)**2*(j + 3)
Let c(s) be the third derivative of s**8/4200 + s**7/300 + s**6/60 + 3*s**5/100 + 55*s**3/6 + 55*s**2. Let v(a) be the first derivative of c(a). Factor v(x).
2*x*(x + 1)*(x + 3)**2/5
Let a(t) be the second derivative of -8*t**6/15 - t**5/7 + 703*t**4/21 + 250*t**3/21 - 150*t**2/7 - 243*t - 4. Suppose a(g) = 0. Calculate g.
-5, -3/7, 1/4, 5
Let m = 2073 - 1229. Solve 180*d - m - 1022 - 3*d**2 - 834 = 0.
30
Let h(r) be the third derivative of r**5/20 + 5*r**4/2 - 150*r**3 + 330*r**2 + 2. Let h(p) = 0. What is p?
-30, 10
Let r be 7209/7832 - 6/16. Let g(i) be the first derivative of -r*i**3 - 2/11*i - 2/11*i**4 - 6/11*i**2 - 10. Determine v so that g(v) = 0.
-1, -1/4
Let o(f) be the second derivative of 19*f**6/15 - 39*f**5/10 - 65*f**4/3 - 24*f**3 + 2*f + 2412. Find v, given that o(v) = 0.
-1, -18/19, 0, 4
Let s(q) be the second derivative of -7/12*q**4 + 4/3*q**3 + 2 + 6*q**2 + 4*q. Suppose s(b) = 0. What is b?
-6/7, 2
Let b be ((-32)/(-6))/((-24)/(-72)). Let p be (-10)/(-8)*b/50. Factor -p*d**2 - 2/5 - 4/5*d.
-2*(d + 1)**2/5
Let o(f) be the second derivative of -1/25*f**5 + 0 + 126/5*f**2 - 82*f + 1/15*f**4 + 22/5*f**3. Determine t so that o(t) = 0.
-3, 7
Let r(c) = -5*c**2 - 30*c + 205. Let f = 91 + -66. Let i(n) = n**2 + 5*n - 34. Let p(v) = f*i(v) + 4*r(v). Factor p(k).
5*(k - 2)*(k + 3)
Let r(j) = -j**3 - 22*j**2 - 7*j - 32. Let i be r(-22). Let z = 860/7 - i. Determine b so that -z*b**5 - 6/7*b - 12/7*b**2 + 6/7 + 6/7*b**4 + 12/7*b**3 = 0.
-1, 1
Let d(w) be the third derivative of -w**5/30 - 141*w**4/2 - 59643*w**3 - 2323*w**2. Determine g so that d(g) = 0.
-423
Let k(i) = -3*i**4 - 30*i**3 + 15*i**2 + 72*i + 60. Suppose -4 = 11*t - 70. Let g(x) = -x**3 + x**2 - x + 2. Let b(f) = t*g(f) - k(f). Let b(v) = 0. What is v?
-8, -1, 2
Let y(m) be the third derivative of m**7/105 + 9*m**6/10 + 32*m**5 + 1408*m**4/3 - 2*m**2 - 380*m + 3. Find v, given that y(v) = 0.
-22, -16, 0
Let x(q) be the first derivative of q**5/12 - 5*q**4/8 + 5*q**3/3 + 2*q**2 + 21*q - 61. Let f(p) be the second derivative of x(p). Find v, given that f(v) = 0.
1, 2
Let r(k) = 82*k**2 - 1131*k + 161312. Let g(n) = -180*n**2 + 2261*n - 322624. Let i(f) = -5*g(f) - 11*r(f). Find u, given that i(u) = 0.
284
Factor 79*f**2 - 5*f**3 + 6*f**3 - 519*f - 260 - 234*f**2 - 103*f**2 + 0*f**3.
(f - 260)*(f + 1)**2
Factor 24/7 - 1/7*h**2 - 10/7*h.
-(h - 2)*(h + 12)/7
Solve -9*t + 96 - 551*t**4 + 92*t**3 - 86*t**2 + 541*t**4 + 25*t - 260*t + 152*t**3 = 0.
-1, 2/5, 1, 24
Let p = 2321 + -2319. Let x(s) be the third derivative of 14*s**p - 4/15*s**5 + 0*s - 5/6*s**4 - 4/3*s**3 - 1/30*s**6 + 0. Factor x(m).
-4*(m + 1)**2*(m + 2)
Let h(w) be the third derivative of -5*w**8/112 + 11*w**7/35 - 9*w**6/40 - 14*w**5/5 + 7*w**4/2 + 24*w**3 + 530*w**2. Solve h(x) = 0.
-1, 2, 12/5
Factor 123 + 858*q - 57*q**2 - 109*q**2 + 145*q**2.
-3*(q - 41)*(7*q + 1)
Let x(k) be the first derivative of -k**5/5 - 9*k**4/2 + 41*k**3/3 + 9*k**2 - 40*k - 3211. Suppose x(d) = 0. Calculate d.
-20, -1, 1, 2
Let p = 189 - 187. Let 8*m**3 + 12*m**2 - 8*m - 4*m**2 - m**2 - 6*m**4 - 8 + 7*m**p = 0. Calculate m.
-1, -2/3, 1, 2
Let x be 14 - (2 - (9 + -15)). Let o(q) be the third derivative of 1/2205*q**7 + 5*q**2 + 1/630*q**x + 0*q**3 + 0 + 0*q**4 + 1/630*q**5 + 0*q. Factor o(r).
2*r**2*(r + 1)**2/21
Let t(k) be the third derivative of -k**6/900 - k**5/30 - 5*k**4/12 + 6*k**3 + 62*k**2. Let m(z) be the first derivative of t(z). Factor m(i).
-2*(i + 5)**2/5
Let k(j) be the third derivative of j**7/140 + 7*j**6/40 + 43*j**5/40 + 15*j**4/8 + 113*j**2. Find l such that k(l) = 0.
-10, -3, -1, 0
Let z(i) = -31*i**2 + 69*i + 76. Let f be z(3). Find p, given that 0*p - 6/5*p**2 + 2/5*p**f - 4/5*p**3 + 0 = 0.
-1, 0, 3
Determine f, given that 1149184 + 1588*f - 62*f**2 + 23*f**2 + 18*f**2 - 5876*f + 25*f**2 = 0.
536
Factor 0*p**2 - 3/4*p**5 + 0*p + 18*p**3 + 0 - 15/2*p**4.
-3*p**3*(p - 2)*(p + 12)/4
Let s(x) be the first derivative of x**5 + 25*x**4/4 + 35*x**3/3 + 15*x**2/2 + 1276. Let s(v) = 0. Calculate v.
-3, -1, 0
Let f be 110/55 + (5 - 1). Factor -1 + 1105*n + n**3 - f + 7*n**2 - 1106*n.
(n - 1)*(n + 1)*(n + 7)
Let b(i) be the second derivative of -i**5/240 - 5*i**4/48 - 3*i**3/8 - 14*i**2 - 2*i + 30. Let l(j) be the first derivative of b(j). Factor l(t).
-(t + 1)*(t + 9)/4
Factor 64/3*o**4 + 1470*o + 60025/3 - 3839/3*o**2 - 48*o**3.
(o + 5)**2*(8*o - 49)**2/3
Let v = 364359/5 + -72871. Let z(a) = a + 9. Let l be z(-7). Determine b so that -v - 4/5*b - 1/5*b**l = 0.
-2
Let z(s) be the first derivative of s**6/180 - s**5/6 + 4*s**4/3 - 68*s**3/3 - 41. Let f(l) be the third derivative of z(l). Factor f(b).
2*(b - 8)*(b - 2)
Let a = 67 + -82. Let q be 78/30 - (-3)/a*-2. Factor 18*o**2 - 49*o**2 + 2*o**q + 47*o**2 + 26*o + 12.
2*(o + 1)**2*(o + 6)
Suppose 2*u - 1498*s + 6 = -1495*s, 5*u - 5*s + 5 = 0. Let h(g) be the first derivative of -1/3*g**u + 25 - 4*g - 2*g**2. Let h(k) = 0. What is k?
-2
Let k(m) be the second derivative of -4*m**5/15 - 701*m**4/18 - 15224*m**3/9 + 1936*m**2 + 8*m - 5. Factor k(d).
-2*(d + 44)**2*(8*d - 3)/3
Let y(w) be the second derivative of 5*w**5/4 + 805*w**4/6 + 5215*w**3/6 + 915*w**2 + 2*w - 7293. Factor y(a).
5*(a + 3)*(a + 61)*(5*a + 2)
Let k be (627/285)/(4 - -14*1/(-4)). Factor -68/5*v - 2/5*v**3 - k*v**2 - 48/5.
-2*(v + 1)*(v + 4)*(v + 6)/5
Let k = 64754/6725 + -241/25. Let g = k + 19643/538. Solve -1/2*n**5 - 8*n**4 + 162*n - 9*n**2 - 108 - g*n**3 = 0.
-6, 1
Let -1/2