h + 3)**2/11
Suppose -35 = -130*r + 67 + 418. Let m(p) be the second derivative of 0*p**2 + 0*p**r - 3/40*p**5 + 1/10*p**6 + 0*p**3 + 5*p - 1/28*p**7 + 0. Solve m(w) = 0.
0, 1
Let u = -217368 - -1521732/7. Suppose -u*y + 51/7*y**3 - 48/7 - 72/7*y**2 + 15/7*y**4 = 0. What is y?
-4, -1, -2/5, 2
Suppose -628 + 1684 = 264*r. Determine o, given that 0 + 16/13*o**2 - 6/13*o**3 - 6/13*o - 4/13*o**r = 0.
-3, 0, 1/2, 1
Let d(h) be the first derivative of 0*h + 1/3*h**6 + 189 + 6/5*h**5 + 0*h**2 - 1/2*h**4 - 2*h**3. What is r in d(r) = 0?
-3, -1, 0, 1
Let l(b) be the first derivative of 27*b**5/25 + 24*b**4/5 + 33*b**3/5 + 3*b**2 - 7887. Find q such that l(q) = 0.
-2, -1, -5/9, 0
Let l = -737 - -957. Suppose 13 = l*a - 207*a. Factor a - 1/7*m**2 - 6/7*m.
-(m - 1)*(m + 7)/7
Let n(s) be the first derivative of 1/18*s**4 - 4/9*s**3 + 20 - 16/9*s + 4/3*s**2. Factor n(d).
2*(d - 2)**3/9
Suppose -59*r + 251*r = -141*r + 1332. Let o(x) be the third derivative of 0 - x**r - 3/20*x**5 - 19*x**2 - 8/3*x**3 + 0*x. Find d such that o(d) = 0.
-4/3
Factor -210*u**4 - 5 + 5 - 5*u**5 + 345*u**4 - 110*u**2 - 185*u**4 - 120*u**3 - 35*u.
-5*u*(u + 1)**3*(u + 7)
Let s(q) be the second derivative of 1/10*q**5 + 33*q - 13/6*q**4 + 0 + 0*q**2 + 0*q**3. Factor s(i).
2*i**2*(i - 13)
Let y(u) = -15*u + 444. Let d(o) = 287*o - 8442. Let a(p) = -3*d(p) - 56*y(p). Let r be a(22). Factor -2/13*h**4 + r - 4/13*h - 10/13*h**2 - 8/13*h**3.
-2*h*(h + 1)**2*(h + 2)/13
Factor -39/8*d**2 + d**3 + 15/2*d - 7/2.
(d - 2)**2*(8*d - 7)/8
Let a = -272935 - -272939. Factor 0 + 3/2*h**a + 51*h + 45/2*h**2 - 27*h**3.
3*h*(h - 17)*(h - 2)*(h + 1)/2
Let i = -5763 + 5767. Determine c, given that c**2 + 0 - 2/5*c + 1/5*c**i - 4/5*c**3 = 0.
0, 1, 2
Let o(p) be the third derivative of 25*p**8/336 - 101*p**7/840 + p**6/480 + 1038*p**2. Factor o(b).
b**3*(b - 1)*(100*b - 1)/4
Let x = 87 + -82. Factor 4 + 56*t**3 - 4 + 36*t + 4 + 4*t**x + 24*t**4 + 64*t**2 + 4.
4*(t + 1)**4*(t + 2)
Let j = -1183804/5 + 236761. Factor 132/5*b - j*b**2 - 4356/5.
-(b - 66)**2/5
Let u(a) be the first derivative of a**7/840 - a**6/120 + a**5/60 - 41*a**3/3 - a + 58. Let v(w) be the third derivative of u(w). Determine o so that v(o) = 0.
0, 1, 2
Let p(t) be the first derivative of -3*t**4/28 - 2*t**3 + 45*t**2/14 + 1282. Factor p(f).
-3*f*(f - 1)*(f + 15)/7
Let m(x) = -x**3 - 3*x**2 - 9*x - 7. Let c be m(-3). Factor -30*g**2 - c*g**3 - 55*g**2 - 25 + 20 - 100*g - 15.
-5*(g + 2)**2*(4*g + 1)
Let z be -1 - ((-1)/2)/(1/6). Determine d, given that -775 + 775 + z*d - 4*d**2 + 2*d**3 = 0.
0, 1
Let p = -8533 + 8535. Factor 2/7*u**p + 1/7*u**3 - 1/7*u**4 + 0*u + 0.
-u**2*(u - 2)*(u + 1)/7
Let r(d) = -d**3 + 4*d**2 + 3*d - 1. Let y(n) = 1650646584508*n**3 + 1330272568*n**2 + 357336*n + 40. Let l(q) = -8*r(q) - y(q). Solve l(x) = 0 for x.
-2/7445
Let k = 381509/24 + -15896. Let b(x) be the second derivative of -k*x**3 - 2*x + 0 + 1/48*x**4 + 3/4*x**2. Factor b(o).
(o - 3)*(o - 2)/4
Suppose 586756/5 + 3064/5*g + 4/5*g**2 = 0. What is g?
-383
Suppose -206 + 197 = -3*q. Let o(c) be the first derivative of 1/30*c**4 + 0*c**q + 0*c + 12 - 1/15*c**2. Determine s, given that o(s) = 0.
-1, 0, 1
Suppose 5*g - 16 = -3*g. Suppose -j + 3*o + 0*o = 0, 0 = -g*j + 2*o + 4. Factor 4*v**5 - 16*v + v**5 + v**j + 21*v - 11*v**3.
5*v*(v - 1)**2*(v + 1)**2
Let v(b) = -b**3 + 135*b**2 - 4468*b + 158. Let c be v(77). Factor 2/5*f**c + 0*f**3 + 4/5*f - 6/5*f**2 + 0.
2*f*(f - 1)**2*(f + 2)/5
Let c(s) be the third derivative of s**6/40 + s**5/5 - 7*s**4/8 - 5*s**3 + 13*s**2 + 11. Suppose c(u) = 0. What is u?
-5, -1, 2
Let n = -780 + 772. Let s be ((-6)/n - 1)/((-78)/390). Solve -5/4*g**2 - s + 5/2*g = 0 for g.
1
Find t, given that -9786/5*t**3 - 3853096509/5 - 10643904/5*t**2 - 3/5*t**4 - 772746126*t = 0.
-1087, -1
Find o, given that -10644*o**2 + 410013*o + 4*o**3 + 7086244 + 3629794*o - 664518*o + 3700307*o = 0.
-1, 1331
Suppose 114 = z - 4*m, 5*z - 636 = -14*m + 12*m. Suppose -6*s**2 + z*s - 2*s**3 - 126*s + 1 + 7 = 0. What is s?
-2, 1
Let r(q) = 55*q**2 - 1037*q - 2070. Let x(w) = 62*w**2 - 1037*w - 2070. Let b(m) = -9*r(m) + 8*x(m). Factor b(y).
(y + 2)*(y + 1035)
Let k(x) = 35*x**2 - 1100*x + 8045. Let r(s) = 9*s**2 - 274*s + 2012. Let h(z) = -4*k(z) + 15*r(z). Factor h(p).
-5*(p - 50)*(p - 8)
Let m(d) be the first derivative of -32*d**5/35 - 916*d**4/7 + 1866*d**3/7 + 1742*d**2/7 + 464*d/7 - 11883. What is c in m(c) = 0?
-116, -1/4, 2
Suppose 2*g + 11 = 3*h, 4*g = g + 6. Let j be (-10 + 8)*(-4 + 2). Find w, given that -3*w**4 - 65*w - 4*w**j + 8*w**4 - 35*w**2 + 4*w**4 + h*w**3 - 30 = 0.
-2, -1, 3
Let d(p) be the first derivative of 3*p**4/16 + 29*p**3/2 + 825*p**2/2 + 5082*p - 5653. Determine s, given that d(s) = 0.
-22, -14
Let c(b) = -b**2 + 324. Let n be c(0). Let u = 324 - n. Factor 4/5*z**2 + 32/5*z**4 + 0 + 14/5*z**5 + u*z + 22/5*z**3.
2*z**2*(z + 1)**2*(7*z + 2)/5
Let r(m) be the second derivative of m**5/30 + m**4/4 + 2*m**3/3 - 21*m**2 - 8*m - 1. Let p(a) be the first derivative of r(a). Suppose p(u) = 0. What is u?
-2, -1
Find g such that -733*g**2 + 185*g**2 + 178*g**2 - 75*g + 182*g**2 + 183*g**2 = 0.
-15, 0
Let s = -1099018 + 1099029. Determine x, given that 1/7*x**2 - 78/7*x + s = 0.
1, 77
Let w(q) be the second derivative of 2/5*q**3 - 2/75*q**6 + 1/3*q**4 + 1/25*q**5 + 0*q**2 + 13*q + 0. What is t in w(t) = 0?
-1, 0, 3
Let 24 - 3/5*x**4 - 84/5*x + 21/5*x**3 - 18/5*x**2 = 0. Calculate x.
-2, 2, 5
Determine r, given that -14*r**2 + 2451*r - 13*r**2 + 719104 + 941*r + 48*r**2 - 17*r**2 = 0.
-424
Let v(f) be the first derivative of f**4/4 + 1034*f**3 + 1603734*f**2 + 1105507304*f - 1783. Let v(p) = 0. Calculate p.
-1034
Let m(n) = 5*n - 38. Suppose 4*b + l + 41 = 9*b, -3*b + 3*l + 27 = 0. Let x be m(b). Factor -12/7*h**x - 12/7*h - 4/7*h**3 - 4/7.
-4*(h + 1)**3/7
Let p(x) be the first derivative of -x**6/33 + 12*x**5/55 - 7*x**4/22 - 4*x**3/11 + 8*x**2/11 + 1080. Suppose p(f) = 0. Calculate f.
-1, 0, 1, 2, 4
Let 54 + 307*k**2 - 63*k**2 - 117*k + 3*k**4 - 157*k**2 - 19*k**3 - 8*k**3 = 0. What is k?
1, 2, 3
Let l(x) be the third derivative of -x**8/672 + x**6/80 + x**5/60 + 50*x**2 + 4*x + 1. What is a in l(a) = 0?
-1, 0, 2
Let j be 2/(-8) - (-39)/12. Let a be 8 - (j - 2)*-4. Factor -28*c**3 + 10 + a*c**2 + 12*c**4 - 29 + 12*c + 11.
4*(c - 1)**3*(3*c + 2)
Suppose 40*o = 6156 + 1604. Suppose -198*y = -o*y - 12. Factor 0 + 0*w**4 + 0*w + y*w**2 - 3/2*w**5 + 9/2*w**3.
-3*w**2*(w - 2)*(w + 1)**2/2
Let d(u) = 45*u**2 - 4790*u - 10110. Let w(g) = -5*g**2 + 532*g + 1124. Let t(i) = 4*d(i) + 35*w(i). Solve t(y) = 0 for y.
-2, 110
Let k be (245/140)/((-30)/(-4)). Let t(q) be the third derivative of -1/5*q**3 + 1/48*q**6 + 0 - 8*q**2 - k*q**4 + 0*q - 11/120*q**5. Let t(u) = 0. Calculate u.
-2/5, 3
Let l(r) be the third derivative of -r**6/2 + 13*r**5/12 + 355*r**4/24 - 5*r**3 - 829*r**2. Factor l(s).
-5*(s - 3)*(s + 2)*(12*s - 1)
Factor 9/7*m**2 + 0*m + 0 - 8/7*m**3 - 1/7*m**4.
-m**2*(m - 1)*(m + 9)/7
Let k(z) be the third derivative of z**5/20 + 105*z**4/8 + 103*z**3 + 225*z**2 - 2*z. Let k(g) = 0. Calculate g.
-103, -2
Let h(u) be the second derivative of u**5/10 + 113*u**4/6 + 3016*u**3/3 - 10092*u**2 - u + 162. Suppose h(w) = 0. Calculate w.
-58, 3
Let i(q) be the third derivative of -q**8/336 + q**7/210 + 19*q**6/60 - 11*q**5/6 + 107*q**4/24 - 35*q**3/6 + 781*q**2 - 2*q. Find x such that i(x) = 0.
-7, 1, 5
Suppose 0 = -4*d - 4*r, -5*d + 24 = -d - 4*r. Let 4*n + 5*n**4 - d*n**3 - n**5 - 13*n**5 - 5*n**2 + 13*n**5 = 0. Calculate n.
-1, 0, 1, 4
Let i be 16 + ((-276)/690)/(1/30). Factor -6*n**2 - 8*n - 2*n**3 - 1/4*n**4 - i.
-(n + 2)**4/4
Let t(b) be the third derivative of b**9/98280 + b**8/10920 - 5*b**4/8 + 39*b**2 - 3. Let g(x) be the second derivative of t(x). What is m in g(m) = 0?
-4, 0
Suppose 0 = -2*c + 10 + 2, j + 2*c = 12. Let x(p) be the third derivative of -5/2*p**3 - 12*p**2 + 1/20*p**5 + j*p + 0 + 1/2*p**4. Factor x(d).
3*(d - 1)*(d + 5)
Let i(b) be the first derivative of -b**5/20 - b**4 + b**2 + 35*b + 149. Let o(d) be the second derivative of i(d). What is j in o(j) = 0?
-8, 0
Suppose -2*s + 6*s = 5*g + 7, -2*s = g - 7. Let 48*i**3 - 85*i**3 + 4*i**2 + 33*i**s = 0. Calculate i.
0, 1
Let r = 198908/7 - 28415. Solve r*f**2 - 15/7 - 12/