Solve c*w**2 + 2/3*w**3 - 2/3*w - 7/3*w**4 + 0 = 0.
-1, 0, 2/7, 1
Suppose -605*v - 622*v + 1206*v = -42. Let o(y) be the third derivative of 0 + 0*y**4 + 1/150*y**5 + 0*y - 1/300*y**6 + 0*y**3 + 26*y**v. Factor o(d).
-2*d**2*(d - 1)/5
Let r be (-6 - 0)/(27/(-18)). Factor -53*m**2 - m**3 + 25*m**3 + m**2 - r*m**4 - 13 + 48*m - 3.
-4*(m - 2)**2*(m - 1)**2
Let k(a) be the third derivative of a**7/105 - 19*a**6/3 + 3*a**2 - 315*a. What is o in k(o) = 0?
0, 380
Let q(p) be the first derivative of p**5/12 - 5*p**4/24 - 5*p**3 + p**2 - 2*p + 42. Let w(m) be the second derivative of q(m). Let w(u) = 0. What is u?
-2, 3
Suppose 24*x = -149 + 437. Solve -4 - 8*r**3 + x*r**2 + 1722*r - 1722*r = 0 for r.
-1/2, 1
Let v be (-12)/(-40)*(43/4 + -7). Suppose v*x**2 - 21/8*x - 9/4 = 0. Calculate x.
-2/3, 3
Factor 11*s - 5*s**2 - 3217 + 3337 + 104*s.
-5*(s - 24)*(s + 1)
Let p(y) be the first derivative of y**3/6 + 351*y**2/4 - 7278. Factor p(x).
x*(x + 351)/2
Let h be 54 - 62 - (-2 + 0 - 11) - 2. Let r(c) be the third derivative of 19/12*c**5 + 85/12*c**4 + 0*c - 20/3*c**h - 7*c**2 + 0 - 15/8*c**6. Solve r(s) = 0.
-4/5, 2/9, 1
Let v(u) be the second derivative of -5*u**7/42 - 21*u**6/2 - 215*u**5 + 3*u - 291. Find y such that v(y) = 0.
-43, -20, 0
What is g in -6*g**2 + 61/7*g**3 + 0 + 0*g + 108/7*g**4 + 5/7*g**5 = 0?
-21, -1, 0, 2/5
Let g = 38/9043 + -32943915/63301. Let r = -517 - g. Factor 0 - 12/7*b - r*b**2 + 15/7*b**3.
3*b*(b - 2)*(5*b + 2)/7
Let s(a) be the second derivative of a**6/240 - 13*a**5/20 + 169*a**4/4 - 71*a**3/6 + 95*a. Let t(n) be the second derivative of s(n). Factor t(f).
3*(f - 26)**2/2
Let n(o) be the third derivative of -1/4*o**4 + 0*o**3 + 94*o**2 + 1/30*o**5 + 0 + 0*o - 1/105*o**7 + 1/20*o**6. Solve n(c) = 0.
-1, 0, 1, 3
Let t be ((-888)/185)/((-6)/1000). Factor -t + 2*z - 20*z - 4*z - 58*z - z**2 - z**2.
-2*(z + 20)**2
Let f(y) be the third derivative of -y**7/105 + 113*y**6/60 - 147*y**5/10 + 547*y**4/12 - 218*y**3/3 - 2*y**2 - 80*y - 1. Determine b so that f(b) = 0.
1, 2, 109
Let d(f) = -6*f**2 - 9*f - 12. Suppose 6*r + 32 = 56. Suppose r*q - 1 = 11. Let j(i) = i**2 - i + 1. Let g(p) = q*j(p) + d(p). Solve g(x) = 0.
-3, -1
Let j(w) = 7*w**4 - 1239*w**3 - 10*w**2 + 10*w. Let l(k) = -2*k**4 + 2*k**2 - 2*k. Let y(f) = j(f) + 5*l(f). Solve y(c) = 0 for c.
-413, 0
Let t(r) be the third derivative of 0*r**3 + 1/420*r**6 + 0*r**4 - 2/735*r**7 - 69*r**2 + 0 - 1/1176*r**8 + 0*r + 1/105*r**5. Solve t(b) = 0.
-2, -1, 0, 1
Let q(w) be the third derivative of 0*w - 1/60*w**5 - 10/3*w**3 + 2*w**2 + 9 + 1/2*w**4. Factor q(l).
-(l - 10)*(l - 2)
Find h, given that 0 - 56*h**4 - 4608/5*h**3 + 10368/5*h**2 + 0*h - 4/5*h**5 = 0.
-36, 0, 2
Let q = 3000 - 2997. Let s(f) be the first derivative of 30*f - 7 - 5*f**q + 35/2*f**2. Suppose s(d) = 0. Calculate d.
-2/3, 3
Suppose 0 = c - 146 + 143, 3*h + 9 = 5*c. Determine d, given that 15/2*d - 45/4 - 5/4*d**h = 0.
3
Let b(x) be the third derivative of -x**6/60 - x**5/10 - x**4/24 - x**3/6 + 20*x**2. Let n be b(-3). Factor -s - 279 + 140 - s**n + 141.
-(s - 1)*(s + 2)
Let z(g) = 17*g - 425. Let r be z(25). Let y(j) be the second derivative of 0*j**3 - 5*j - 1/8*j**4 + 0*j**2 + r. Factor y(a).
-3*a**2/2
Let c = 8071/16302 + 40/8151. Find d, given that c*d**2 + 2 + 5/2*d = 0.
-4, -1
Let m(r) be the second derivative of 0*r**6 + r**3 + 0*r**2 + 0 + 0*r**4 + 1/280*r**7 - 1/40*r**5 - 7*r. Let c(n) be the second derivative of m(n). Factor c(t).
3*t*(t - 1)*(t + 1)
Let a(f) be the second derivative of -f**4/4 + 62*f**3 - 1392*f**2 + f + 479. Factor a(i).
-3*(i - 116)*(i - 8)
Solve 63/2*b - 376 - 1/2*b**2 = 0.
16, 47
Let x = -528/101 - -1786/303. Find v such that -14/3*v**2 - x*v**3 - 32/3*v - 8 = 0.
-3, -2
Let h be (-30)/280*8*(-56)/12. Factor -1/8*t**5 - 1/2*t**3 + 4*t + 2*t**2 + 2 - 5/8*t**h.
-(t - 2)*(t + 1)*(t + 2)**3/8
Let t = -1119 - -1113. Let o be 8912/2160 - t/81. Factor 0 - o*g - 3/5*g**2.
-3*g*(g + 7)/5
Let y = 2326 - 4651/2. Let x be (-3)/(-6)*(-1)/(-2). Determine k so that -1/4*k + y*k**2 - x = 0.
-1/2, 1
Let a = 1652 + -1647. Let o(v) be the first derivative of 0*v + 9/20*v**4 - 7/25*v**a - 2/5*v**2 + 4/5*v**3 - 13. Factor o(q).
-q*(q - 2)*(q + 1)*(7*q - 2)/5
Solve -21/8 - 9/4*d + 3/8*d**2 = 0 for d.
-1, 7
Let j(f) = -f**4 + f**3 + f**2 + 6*f + 1. Let i(d) = -d**5 - 7*d**4 - 25*d**3 + 7*d**2 + 96*d + 106. Let t(n) = -i(n) - 2*j(n). Suppose t(p) = 0. What is p?
-3, -2, 2
Suppose 30*f = -32255 - 3145. Let i = f - -1185. Factor -30 - 80*l - 365/6*l**2 - 5/2*l**3 - 5/6*l**i + 15/2*l**4.
-5*(l - 6)**2*(l + 1)**3/6
Factor -96/7*s**2 + 544/7*s + 2/7*s**4 - 6/7*s**3 - 768/7.
2*(s - 4)**2*(s - 3)*(s + 8)/7
Let s(n) be the first derivative of -n**6 + 15*n**5 - 63*n**4 + 36*n**3 + 2971. Suppose s(i) = 0. What is i?
0, 1/2, 6
Let l(s) be the second derivative of -s**6/50 + 18*s**5/25 - 103*s**4/20 + 78*s**3/5 - 114*s**2/5 + 236*s. Solve l(c) = 0 for c.
1, 2, 19
Let d(j) be the first derivative of -j**4/10 - 22*j**3/15 + 6985. Suppose d(i) = 0. Calculate i.
-11, 0
Let c be (29337/(-5334))/((-11)/4). Find q, given that 2/3*q**c - 26 - 76/3*q = 0.
-1, 39
Let c(q) be the third derivative of q**6/30 - 2*q**5/3 - 89*q**4/6 + 140*q**3 - 5975*q**2. Factor c(k).
4*(k - 15)*(k - 2)*(k + 7)
Let j(o) be the first derivative of 3*o**7/56 + o**6/30 - 7*o**5/120 - o**4/12 + 40*o**3/3 + 152. Let s(v) be the third derivative of j(v). Factor s(b).
(3*b + 1)**2*(5*b - 2)
Let n(p) = -139 + 139 + 7*p + 11*p**2. Let i(c) = -11*c**2 - 8*c. Let q(l) = 5*i(l) + 6*n(l). Let q(h) = 0. Calculate h.
-2/11, 0
Let d = 5845 - 5845. Factor d + 12/5*r**2 + 2/5*r**3 + 16/5*r.
2*r*(r + 2)*(r + 4)/5
Let i(u) = 100*u**3 - 4*u**2 + 72*u + 24. Let k(p) = -4*p**3 + 2*p**2 - 1. Let q(y) = -i(y) - 24*k(y). Factor q(w).
-4*w*(w + 2)*(w + 9)
Let o(m) be the first derivative of -11*m + 1/2*m**4 - 16 - 3/20*m**5 + 0*m**2 + 0*m**3. Let p(w) be the first derivative of o(w). Factor p(n).
-3*n**2*(n - 2)
Let u = 8 - 29/4. Let a be (-5668)/(-104) - 62 - 24/(-3). Solve -a + 7/2*x**2 - 3*x**4 - x**3 + 7/4*x**5 - u*x = 0 for x.
-1, -2/7, 1
Let t = 8840/32361 - -58/4623. Solve t*f**2 + 116/7*f + 1682/7 = 0 for f.
-29
Let g(z) be the first derivative of z**5/75 + z**4/15 + 65*z**2 - 74. Let d(m) be the second derivative of g(m). Factor d(j).
4*j*(j + 2)/5
Solve -42250 + 85150*m + 655*m**3 - 5/2*m**4 - 87105/2*m**2 = 0.
1, 130
Let g(k) be the first derivative of 2*k**5/9 - 71*k**4/6 - 172*k**3/27 + 1426. Let g(b) = 0. What is b?
-2/5, 0, 43
Let s = 14705/22053 + -1/7351. Let f(q) be the first derivative of -16 - 98*q + 14*q**2 - s*q**3. Solve f(h) = 0.
7
Let d = -4202627/4 - -1050659. Factor -15/4 + 3/2*a**2 + d*a.
3*(a - 1)*(2*a + 5)/4
Let n(b) be the third derivative of 23*b**2 - 1/160*b**5 + 33/16*b**3 + b + 0 + 1/8*b**4. Determine s, given that n(s) = 0.
-3, 11
Determine g so that -220*g**3 - 756 + 20*g**2 - 32*g + 224*g**3 - 196*g = 0.
-9, -3, 7
Let p be (-29)/(464/384) - -26. What is o in -1849/2*o**p - 2 - 86*o = 0?
-2/43
Suppose -8*s**5 - 22*s**4 + 30*s**4 + 9*s**5 + 124*s**3 + 112*s**2 - 5*s**5 = 0. What is s?
-4, -1, 0, 7
Let g be 1/1*(-12)/(-24)*10. Let b be (-148)/140 + 2 - (-1)/g. Factor -b*j**2 - 4/7*j**3 + 16/7*j + 2/7*j**4 + 0.
2*j*(j - 2)**2*(j + 2)/7
Factor -11*z**4 + 9*z**4 - 55664*z - 59168 - 692*z**3 - 60546*z**2 - 63360*z.
-2*(z + 1)**2*(z + 172)**2
Let i be 3/4 - (-992)/(-128). Let u be 5 + -2*7/(-98)*i. Factor 2401/2 + 686*r + 14*r**3 + 1/2*r**u + 147*r**2.
(r + 7)**4/2
Let r = -32 + -2. Let x be 25 + -23 - (1 - r). Let c(j) = j**2 + j + 2. Let w(l) = 6*l**2 + 5*l + 10. Let a(t) = x*c(t) + 6*w(t). Find k, given that a(k) = 0.
-1, 2
Let u be (7 - 36/9)*(6 + -3). Let g be u/(-144)*-100 + 1/(-2). Factor -g*p**2 + 7/2*p + 5/4 + p**3.
(p - 5)*(p - 1)*(4*p + 1)/4
Let r(p) be the first derivative of -2*p**3/21 - 11*p**2 + 156*p/7 + 2292. Let r(l) = 0. What is l?
-78, 1
Let q(k) be the first derivative of 37*k**3 + 54*k**2 - 3*k - 2014. Solve q(r) = 0 for r.
-1, 1/37
Suppose -1016 + 1016 + 615*d - 4*d**3 - 665*d + d**4 - 55*d**2 = 0. What is d?
-5, -1, 0, 10
Let h = 2/9327 + 149194/177213. Let b(r) be the second derivative of -56/57*r**3 - 2/95*r**5 + h*r**2 - 7*r + 0 - 31/114*r**4. Factor b(s).
-2*(s + 4)**2*(4*s - 1)/19
Factor 0 - 43*u**2 + 128/3*u 