9*k**2 - 39*k - 24*k**3 - 18 = 0. Calculate k.
-1, -3/5, 2
Let o(m) be the first derivative of -4*m**3/3 - 540*m**2 - 1076*m - 418. Factor o(f).
-4*(f + 1)*(f + 269)
Factor -l**3 + 129*l + 131*l + 4 - 3 - l**2 - 259*l.
-(l - 1)*(l + 1)**2
Find w, given that 55/7*w**3 - 306/7*w**2 - 108/7*w + 41/7*w**4 + 216/7 + 4/7*w**5 = 0.
-6, -1, 3/4, 2
Let x(z) be the second derivative of z**4/36 + 31*z**3/18 + 5*z**2 - 704*z. Find c such that x(c) = 0.
-30, -1
Let g = -1781 + 1798. Suppose -5*s + 2 = -13. Factor -19*o - g*o - 3*o**s + 39*o.
-3*o*(o - 1)*(o + 1)
Let a be (-12 - -9)/((-60)/80). Let c(t) be the first derivative of 4/5*t**3 - 3*t**2 + 1/10*t**a - 23 + 16/5*t. Factor c(x).
2*(x - 1)**2*(x + 8)/5
Let 29*f**2 - 1410*f + 1800 - 206*f**2 - 143*f**3 + 372*f**3 + 36*f**4 - 9*f**4 - 49*f**3 = 0. Calculate f.
-6, -4, 5/3
Let n(f) be the first derivative of 4*f**3/21 + 15364*f**2/7 + 59013124*f/7 - 13033. Factor n(w).
4*(w + 3841)**2/7
Suppose 1157 + 1152*u**2 - 2320 + 1163 - 4*u**3 = 0. What is u?
0, 288
Let q(f) be the third derivative of f**2 - 78 + 0*f**3 + 0*f**4 + 1/35*f**7 - 1/5*f**5 - 7/60*f**6 + 0*f. Factor q(y).
2*y**2*(y - 3)*(3*y + 2)
Let j be 1/(-4 + ((-220)/(-15))/4). Let x be j*4/(-6) + -21 + 19. Let -4/17*o - 2/17*o**2 + x + 2/17*o**3 = 0. What is o?
-1, 0, 2
Let z(w) be the first derivative of w**3/3 - 167*w**2/2 + 330*w + 2060. Let z(s) = 0. What is s?
2, 165
Let -2/13*z**2 + 20/13*z + 342/13 = 0. Calculate z.
-9, 19
Let m(g) = 9*g**2 - 18*g + 5. Let b be m(2). Suppose h - 24 = -b*h. What is v in 0*v + 0 + 2/3*v**3 + 1/3*v**2 + 1/3*v**h = 0?
-1, 0
Let d(s) = 9*s - 135. Suppose -171*c + 149*c + 330 = 0. Let r be d(c). Solve 5/4*y**3 + r - y**4 + 1/4*y**5 - 1/2*y**2 + 0*y = 0.
0, 1, 2
Let l(o) be the third derivative of 1/150*o**5 + 11/60*o**4 - 1 + 2*o**2 + 2/3*o**3 + 0*o. Find j such that l(j) = 0.
-10, -1
Let s = 122926 + -122920. Let i be (-715)/(-70) - (-1)/(-2). Determine t, given that 4/7*t**2 + s*t**5 + 0 + 0*t + 30/7*t**3 + i*t**4 = 0.
-1, -1/3, -2/7, 0
Suppose -51/2*v**2 - 756 + 3/8*v**3 + 531/2*v = 0. Calculate v.
6, 56
Suppose -256/3*q**2 + 0*q + 0 + 254/3*q**3 + 2/3*q**4 = 0. Calculate q.
-128, 0, 1
Let g(y) = -y**2 + 8*y + 23. Let u be g(10). Suppose -3*k = 5*d - 9, -k + u*d + 3 = -0*k. Find n such that 2*n**2 - 2*n**k - 6*n + 3*n + 2*n**2 + 9*n = 0.
-1, 0, 3
Let y(b) = 3*b**3 + 139*b**2 - 672*b + 560. Let k(s) = s**3 - s**2 - 28*s + 1. Let i(p) = 12*k(p) - 3*y(p). Let i(v) = 0. Calculate v.
2, 139
Let d be 3180/120 + -25 + ((-26)/12 - -1). Let x be 4/14 + (-2)/7. Factor 1/2*j**3 + d*j**2 + x + 0*j + 1/6*j**4.
j**2*(j + 1)*(j + 2)/6
Let v(r) = 19*r - 53. Let f be v(3). Let c(o) = o**3 - 4*o**2 + o - 2. Let n be c(f). Factor 0 + 2/7*a**n + 2/7*a**4 + 0*a + 4/7*a**3.
2*a**2*(a + 1)**2/7
Let c = 4038 - 4036. Let a(d) be the third derivative of 0*d + 0 - 1/60*d**5 - 2/3*d**4 - 32/3*d**3 + 17*d**c. Find q, given that a(q) = 0.
-8
Determine m so that 13/6*m - 31/2*m**3 - 2/3*m**5 + 0 + 25/6*m**2 + 59/6*m**4 = 0.
-1/4, 0, 1, 13
Let a(i) be the first derivative of -i**3/3 - 57*i**2 - 945*i - 4228. Factor a(n).
-(n + 9)*(n + 105)
What is n in 2/17*n**2 + 59858/17 - 692/17*n = 0?
173
Let v(p) be the first derivative of 31*p**4/22 + 164*p**3/11 + 480*p**2/11 - 64*p/11 - 1106. Factor v(k).
2*(k + 4)**2*(31*k - 2)/11
Let t(l) be the first derivative of -l**5/30 - 37*l**4/12 - 646*l**3/9 + 722*l**2/3 + 9234. Find k, given that t(k) = 0.
-38, 0, 2
Let k(b) be the second derivative of 1/70*b**7 + 1/10*b**3 + 0*b**2 + 111*b + 0 + 2/25*b**6 + 1/5*b**4 + 9/50*b**5. Factor k(u).
3*u*(u + 1)**4/5
Let m(o) be the third derivative of -1/90*o**5 + 78*o**2 - 10816/9*o**3 + 0 + 0*o - 52/9*o**4. Solve m(h) = 0 for h.
-104
Let w(t) = 58*t**4 - 86*t**3 + 6*t**2 - 6*t + 6. Let k(i) = -48*i**4 + 87*i**3 - 5*i**2 + 5*i - 5. Let x(z) = 6*k(z) + 5*w(z). Factor x(b).
2*b**3*(b + 46)
Let q be (-432)/(-180)*15/9. Let y = -5291 + 5294. Factor 3/4*g**q + 21/4*g**y - 21/4*g - 3/4*g**2 + 0.
3*g*(g - 1)*(g + 1)*(g + 7)/4
Let t be (-12)/102 - (-376)/884. Let m be (18/(-27)*-3)/13. Factor 0 - t*l + m*l**2.
2*l*(l - 2)/13
Suppose -3*a + 7*i + 9 = 3*i, 3*a + i = 9. Determine v so that 585*v**4 - 57 - 23 + 155*v**2 - 59*v + 397*v - 405*v**5 + 1420*v**a - 2475*v**2 + 462*v = 0.
-2, 2/9, 1, 2
Let l(f) be the first derivative of 5*f**3/12 - 25*f**2 - 1125*f/4 - 6436. Factor l(y).
5*(y - 45)*(y + 5)/4
Suppose 87*c = 83*c + 8. Let -133*j**2 + 9*j**4 + 528*j - 23*j**c + 216 - 24 - 33*j**3 = 0. What is j?
-4, -1/3, 4
Let r be (12/(-22))/(23/7590*-15) + -7. What is w in 22/5*w**3 + 2/5*w**r + 16/5*w**2 + 0 - 24/5*w - 16/5*w**4 = 0?
-1, 0, 1, 2, 6
Let h(c) be the second derivative of 0 - 14*c - 1/60*c**4 - 3/10*c**3 + 11/5*c**2. Solve h(i) = 0 for i.
-11, 2
Let u be (-4)/46 - 4991/(-2645). Suppose -2*x = 3*x - 5*s + 5, 6*x - 2 = -2*s. Factor -13/5*y**4 - u*y**3 + x - y**5 + 2/5*y + 1/5*y**2.
-y*(y + 1)**3*(5*y - 2)/5
Let h(x) be the second derivative of -x**6/40 + 6*x**5/5 - 165*x**4/8 + 121*x**3 - 49*x**2/2 + 64*x. Let a(q) be the first derivative of h(q). Factor a(s).
-3*(s - 11)**2*(s - 2)
Let i(a) = -6*a**4 - a**3 + a**2 + 2*a + 1. Let t(s) = -31*s**4 + 26*s**3 + 148*s**2 - 77*s - 625. Let m(k) = -20*i(k) + 4*t(k). Factor m(u).
-4*(u - 35)*(u - 2)*(u + 3)**2
Let l(v) be the first derivative of -10*v**6/3 - 488*v**5 + 7435*v**4/4 - 8095*v**3/3 + 3745*v**2/2 - 625*v - 940. Let l(y) = 0. Calculate y.
-125, 1/2, 1
Let i = -349556/3 + 116519. Factor 1/12 + 1/4*q - i*q**2.
-(q - 1)*(4*q + 1)/12
Let p(m) = -6*m**3 + 69*m**2 + 216*m - 225. Let v(w) = 3*w**3 - 34*w**2 - 109*w + 110. Let u(q) = 5*p(q) + 9*v(q). Factor u(d).
-3*(d - 15)*(d - 1)*(d + 3)
Let b(t) = 2*t - 15. Let c be b(9). Suppose s = -3*a - 2*s - 3, 0 = a + c*s + 7. Solve 49*q - 17*q**a - 25*q**3 - 89*q + 15 - 18*q**2 + 45*q = 0.
-1, 3/5
Let z = -4756507/9 - -528503. Determine g so that z + 7/9*g**2 + 28/9*g - 1/9*g**3 = 0.
-2, -1, 10
Suppose 2*m = 1 + 1. Let c be (5 - 1)/(3 - m)*2. Factor -2*z**4 + c*z**2 + 4*z**3 - 11*z**3 + 5*z**3.
-2*z**2*(z - 1)*(z + 2)
Let q(p) = -45*p + 852. Let s be q(20). Let w be 1/(-3)*(s + 42). Factor 23/3*k - 7/3*k**w - 2.
-(k - 3)*(7*k - 2)/3
Let k(w) be the first derivative of 2*w**5/25 + 9*w**4/10 + 52*w**3/15 + 24*w**2/5 + 2471. Factor k(f).
2*f*(f + 2)*(f + 3)*(f + 4)/5
Suppose -218*l = -13 - 641. Let i(m) be the first derivative of 12 + 2/27*m**l - 2/3*m + 2/9*m**2. Suppose i(n) = 0. What is n?
-3, 1
Factor 14427*m**4 - 26 + 20 - 221*m + 2*m**2 - m**5 + 222*m**3 - 14318*m**4 - 105.
-(m - 111)*(m - 1)*(m + 1)**3
Let h be ((-34)/(-168) - (-36)/(-126))*-4. Let p(m) be the first derivative of 19 + h*m**3 - 5/2*m**2 + 4*m. Factor p(t).
(t - 4)*(t - 1)
Let b(z) = -11*z**2 - 2*z - 1. Let a be b(-1). Let f be (-2 + a + 15)*1/18. Factor -f*q**3 - 1/6*q**2 + 1/6*q**4 + 0 + 1/6*q.
q*(q - 1)**2*(q + 1)/6
Let s(w) = 4 + 4 - 11*w**2 + 1 - 11*w - 3. Let r(b) = -23*b**2 - 23*b + 13. Let o(x) = 6*r(x) - 13*s(x). Let o(c) = 0. What is c?
-1, 0
Let y be ((-155)/(-30))/31 - (-29669)/2394. Let v = y + 2/171. Factor -2/7*q**4 - 48/7 - 60/7*q**2 + v*q + 18/7*q**3.
-2*(q - 3)*(q - 2)**3/7
Let z(y) be the second derivative of -y**6/40 + 31*y**5/80 - 2*y**4/3 - 3*y**3/2 + 1711*y. Find i, given that z(i) = 0.
-2/3, 0, 2, 9
Let i be 8/1 - (-13 - -17). Suppose -3*t - 2 - 9 = -i*u, 3*u - 9 = 3*t. Determine b so that 6/11 + 4/11*b - 2/11*b**u = 0.
-1, 3
Find k such that 7218/5*k + 3/5*k**2 + 1443 = 0.
-2405, -1
Let z = -9 + 11. Let q(x) = 5*x**2 - 334*x + 267. Let u be q(66). Factor -2/3*k**4 - 2*k**u - z*k**2 - 2/3*k + 0.
-2*k*(k + 1)**3/3
Let x(r) be the second derivative of -r**5/20 - 211*r**4/12 - 5720*r**3/3 - 16224*r**2 - r - 401. Solve x(k) = 0 for k.
-104, -3
Let t be 5*-1 - (23072/11200)/((-4)/10). Let d(k) be the second derivative of 0 - 1/2*k**3 + 5*k + t*k**5 + 0*k**4 + 0*k**2. Determine i so that d(i) = 0.
-1, 0, 1
Let w(r) be the first derivative of -r**6/1260 + 2*r**5/35 + 52*r**3 + 327. Let y(x) be the third derivative of w(x). Factor y(s).
-2*s*(s - 24)/7
Let p(x) = 2*x**2 - 2*x - 2. Let m be p(-1). Suppose m*i + 3*i**2 + 12*i**4 - 27*i**4 + 10*i**4 + 4*i**4 = 0. What is i?
-1, 0, 2
Suppose -240 = 206*p - 326*p. Suppose 0 - 4/7*d**p + 43/7*d**3 - 4/7*d + 22/7*d**4 - 3*d**5 = 0. What is d?
-1,