 2)*(l - 1)
Let a be 6 + -7 + 1060/1050. Let d(u) be the third derivative of -1/21*u**4 + 0*u - a*u**6 - 13*u**2 - 1/735*u**7 - 1/21*u**3 - 1/35*u**5 + 0. Solve d(i) = 0.
-1
Let d(m) be the first derivative of -m**6/6 - 14*m**5/5 - 12*m**4 + 14*m**3/3 + 49*m**2/2 - 222. Find y, given that d(y) = 0.
-7, -1, 0, 1
Solve 2/7*m**2 + 18/7*m + 0 = 0 for m.
-9, 0
Let q(k) be the first derivative of -k**6/3 + 14*k**5 + 73*k**4/2 + 74*k**3/3 - 3708. Factor q(t).
-2*t**2*(t - 37)*(t + 1)**2
Let w(q) be the first derivative of -8/9*q**3 - 2/3*q**2 + 0*q - 63 - 1/3*q**4. Factor w(z).
-4*z*(z + 1)**2/3
Let i(h) = 3*h**3 - 160*h**2 + 473*h - 20. Let d(x) = 24*x**3 - 1278*x**2 + 3783*x - 165. Let p(k) = 4*d(k) - 33*i(k). Factor p(q).
-3*q*(q - 53)*(q - 3)
Let x be (-3 - (-162)/(-12))*-4. What is m in -19*m**2 + 20 + 21*m**2 - 16*m**2 + x*m = 0?
-2/7, 5
Let c(s) = -3*s**2 + 72*s - 432. Let h(q) = -q**2 + 24*q - 144. Suppose 0 = -11*p + 12*p + 6. Let w(j) = p*c(j) + 21*h(j). Suppose w(d) = 0. Calculate d.
12
Factor 2/7*z**2 + 2444/7*z + 746642/7.
2*(z + 611)**2/7
Let q(v) be the third derivative of v**7/70 + 16*v**6/5 - 198*v**5/5 + 200*v**4 - 536*v**3 - 691*v**2. Let q(c) = 0. Calculate c.
-134, 2
Let t(q) be the first derivative of q**7/2520 - q**6/60 + 3*q**5/10 - 3*q**4 - 73*q**3/3 - 9. Let a(x) be the third derivative of t(x). What is f in a(f) = 0?
6
Let a(z) be the first derivative of 2*z**5/55 + 357*z**4/22 + 1878. Determine k, given that a(k) = 0.
-357, 0
Let o(l) = 3*l**3 - 18*l**2 - 2*l + 15. Let t be o(6). Let h be 24/(-9)*-3 + -2. Determine r so that -10*r**t + 37 - 15*r**2 + h*r**3 - 37 + 4*r = 0.
-4, 0, 1/4
Let j(p) be the third derivative of p**5/150 + 9*p**4/20 - 66*p**3/5 + 486*p**2. Solve j(l) = 0.
-33, 6
Let c = -32 - -36. Let v = -3 - -5. Factor 2*w - 4*w**2 + c*w**2 - 10 + 2*w**v - 10*w.
2*(w - 5)*(w + 1)
Let f(s) be the second derivative of 8/13*s**2 + 1/3*s**6 - 5 + 62/39*s**3 + 3/91*s**7 + 5*s + 49/26*s**4 + 149/130*s**5. Solve f(o) = 0.
-4, -1, -2/9
Let v = -1 + 30. Factor -17 - 74*g + v*g + 10*g**2 - 8.
5*(g - 5)*(2*g + 1)
Solve 500*k - 373 - 979*k - 786*k + 5*k**2 - 215 - 682 = 0 for k.
-1, 254
Let x be -1*19 + 870/(-360)*-8. Factor x*h**2 + 0 - 1/3*h.
h*(h - 1)/3
Let l be (-132)/(-154) - (-1560)/(-1869). Let d = l + 263/178. Solve -d*g**5 + 0 - 3/2*g**2 + 9/4*g**3 + 9/4*g**4 + 0*g = 0 for g.
-1, 0, 1/2, 2
What is i in -224 + 132*i - 8*i**3 + 96*i + 66*i - 66*i + 4*i**3 = 0?
-8, 1, 7
Let y = 103323 - 103321. Factor -2/7*x**y - 4/7*x**3 + 2/7*x + 0.
-2*x*(x + 1)*(2*x - 1)/7
Suppose -83*a**3 + 28*a - 15*a**4 - 4*a**2 - 33*a**2 - 33*a - 14*a**2 + 10*a**2 = 0. Calculate a.
-5, -1/3, -1/5, 0
Let h be (-39)/(1258/74 + -30). Suppose -9/4*v**2 + 15/4 - v**h + 29/2*v = 0. What is v?
-5, -1/4, 3
Let l(p) be the second derivative of -25/6*p**2 + 5/9*p**3 + 0 + 122*p - 1/6*p**5 + 2/3*p**4 + 1/90*p**6. Factor l(b).
(b - 5)**2*(b - 1)*(b + 1)/3
Suppose -2*t**4 - 2*t**3 + t**2 + 1 + 5/2*t - 1/2*t**5 = 0. Calculate t.
-2, -1, 1
Suppose 774*f**3 + 524*f - 10*f**5 - 17733 - 986*f**2 + 17637 - 206*f**4 + 0*f**5 = 0. What is f?
-24, 2/5, 1
Let p(u) = 3*u**2 + 114*u + 111. Let n(w) = 2*w - 10. Let f be n(2). Let v(a) = 2*a**2 + 114*a + 112. Let i(t) = f*v(t) + 5*p(t). Factor i(b).
3*(b - 39)*(b + 1)
Let d be 0/((24 - 755)/(-43)). Factor 1/2*o**4 + d*o**2 - 1/2 - o + o**3.
(o - 1)*(o + 1)**3/2
Suppose -11*s - 23938 - 152 = 0. Let p = -2188 - s. Suppose 16/5*w + 2/5*w**4 + 0 + 2/5*w**3 - 4*w**p = 0. Calculate w.
-4, 0, 1, 2
Suppose -20*y + 1125 = -5*y. Suppose -54 = -y*b + 57*b. Factor 0 - 8/13*w + 2/13*w**b - 6/13*w**2.
2*w*(w - 4)*(w + 1)/13
Let g be 22 + (-2982)/144 + 6/(-180)*5. Let 0*z - 43/8*z**4 - 11/2*z**3 + 3/2*z**2 - g*z**5 + 0 = 0. What is z?
-3, -2, 0, 2/9
Let j(t) be the second derivative of -t**4/102 + 1282*t**3/51 - 410881*t**2/17 - 180*t - 1. Suppose j(c) = 0. What is c?
641
Factor 2/13*h**2 - 180/13 + 2*h.
2*(h - 5)*(h + 18)/13
Let j(d) be the third derivative of d**7/70 + 11*d**6/24 - 33*d**5/20 + 7*d**4/8 + 10*d**3/3 + 6821*d**2. Find b such that j(b) = 0.
-20, -1/3, 1
Let z be (-66)/(-12) + 21/(-6). Find j, given that 5/6*j**z + 10 - 35/6*j = 0.
3, 4
Let h(s) = s**3 + 5*s**2 + 2*s + 1. Let x(z) = z**4 + 1805*z**3 + 815398*z**2 - 817220*z - 2. Let k(n) = -4*h(n) - 2*x(n). Suppose k(l) = 0. What is l?
-904, 0, 1
Let s(m) = 34*m**2 - 804*m - 26942. Let b(c) = 13*c**2 - 268*c - 8981. Let n(t) = -8*b(t) + 3*s(t). Solve n(p) = 0.
-67
Let s(i) be the second derivative of -i**7/504 + i**6/3 - 24*i**5 + 47*i**4/3 + i**3/6 - 43*i. Let r(o) be the third derivative of s(o). Factor r(p).
-5*(p - 24)**2
Suppose 5*i - t + 68 = 8*i, t = 4*i - 100. Find q, given that -143*q - i*q**3 + 13*q**2 - 14*q**2 + 4*q**4 + 111*q - 59*q**2 = 0.
-1, 0, 8
Let g be (-11 - (-365)/(-10))/((-2)/4). Suppose i - 96*m + g*m = 0, -4*i + 2*m = -8. Factor 12/5*j - 4/5*j**3 - 9/5 + 2/5*j**2 - 1/5*j**i.
-(j - 1)**2*(j + 3)**2/5
Factor -31*u**2 - 18 + 14*u - 27*u**2 - 2*u - 17 + 57*u**2.
-(u - 7)*(u - 5)
Let n be (-1 - 14/(-8))*149530/855. Let d = -131 + n. Factor d*u**2 - 1/6*u**3 + 5/6*u + 1/2.
-(u - 3)*(u + 1)**2/6
Let g be 0/(-1 - (-75)/(-15)). Let z(j) be the second derivative of g - j**2 - 1/2*j**4 + 1/10*j**5 + j**3 + 21*j. Solve z(d) = 0.
1
Let m(r) be the third derivative of -r**6/480 + r**5/60 - r**4/32 + 4*r**2 - 6. Solve m(o) = 0 for o.
0, 1, 3
Let x = 6494 + -6492. Let g(d) be the first derivative of 2*d**3 + 3/2*d**4 - 9/5*d**5 - 9/2*d**x + 3*d + 19 + 1/2*d**6. Factor g(j).
3*(j - 1)**4*(j + 1)
Suppose 153/10*c + 0 + 1/10*c**2 = 0. What is c?
-153, 0
Let 85*c**2 + 152*c - 269*c**2 + 78*c**3 - 3*c**4 - 4*c**2 + 388*c - 199*c**2 = 0. What is c?
0, 3, 20
Factor 6280/11*z + 6282/11 - 2/11*z**2.
-2*(z - 3141)*(z + 1)/11
Factor -c**5 + 6*c - 6*c**4 + 23*c**2 + 2*c + 8*c**3 - 16 - c**4 - 15*c**3.
-(c - 1)**2*(c + 1)*(c + 4)**2
Factor -42 - 20*l + 1/2*l**2.
(l - 42)*(l + 2)/2
Let n(v) = 2*v**2 - 19*v + 60. Let d(q) = q**2 + q - 4. Let w(y) = -5*d(y) + 5*n(y). Factor w(l).
5*(l - 16)*(l - 4)
Suppose 0 = m + t + 28, 2 = 5*t + 12. Let f be 4/m - (-24)/156. Suppose f + 9/7*i**4 + 9/7*i**3 + 3/7*i**2 + 0*i + 3/7*i**5 = 0. What is i?
-1, 0
Suppose -d = 4*d - 15. Suppose 5*t - 10 = -g - 30, 0 = -4*g - d*t + 5. Suppose 83*w - w**4 - 93*w + g - w**4 + 10*w**3 - 3*w**4 = 0. What is w?
-1, 1
Let i(c) = 2 - 121*c + 14*c**2 + 3*c**3 + 131*c - c**3. Let z(x) = 2*x**3 + 15*x**2 + 9*x + 1. Let k(j) = -5*i(j) + 4*z(j). Factor k(a).
-2*(a + 1)**2*(a + 3)
Let i(d) be the first derivative of -288*d - 152/3*d**3 + 3*d**4 + 264*d**2 - 236. Factor i(l).
4*(l - 6)**2*(3*l - 2)
Suppose 146*j - 122*j - 120 = 0. Let i(o) be the third derivative of -25*o**2 + 0 + 0*o - 1/12*o**j - 25/6*o**3 + 5/4*o**4. Find t, given that i(t) = 0.
1, 5
Let d = -5187/53 - -19331/106. What is m in -195/2*m + d + 27/2*m**2 - 1/2*m**3 = 0?
1, 13
Suppose 1179 = 165*l + 1158*l - 44*l - 1379. Determine i so that 0 - 20/7*i**l + 48/7*i - 6/7*i**3 + 2/7*i**4 = 0.
-3, 0, 2, 4
Suppose 0 = -5*j + 17*p - 13*p + 23, -2 = -2*j - 2*p. Factor -11*w**4 + 36*w**3 - 35*w**j + 18*w**2 - 7*w**2 - w**5.
-w**2*(w - 1)*(w + 1)*(w + 11)
Let q(z) be the second derivative of 5*z**4/12 + 25*z**3/6 + 2*z + 254. Factor q(l).
5*l*(l + 5)
Let s(q) be the first derivative of -5*q**6/6 - 490*q**5 - 100245*q**4 - 22052270*q**3/3 - 21653735*q**2/2 - 2116. Factor s(m).
-5*m*(m + 1)*(m + 163)**3
Let u(o) be the third derivative of 2*o + 0 + 1/45*o**6 + 1/525*o**7 + 0*o**3 - 2*o**2 + 1/10*o**4 + 13/150*o**5. Factor u(m).
2*m*(m + 3)**2*(3*m + 2)/15
Let d = 2/1125 + 5248/1125. Let g(o) be the first derivative of -10 - 8/3*o**2 - 2/9*o**3 - d*o. Factor g(r).
-2*(r + 1)*(r + 7)/3
Let t be -2 + 966/(-6)*19/(-3). Let r = t - 1017. Find p such that -2/3*p**4 - r*p**3 + 0 + 0*p + 0*p**2 = 0.
-1, 0
Let v(i) be the first derivative of 4/15*i**5 + 16/3*i**2 + 20/3*i**3 + 112 - 8/3*i**4 - 64/3*i. What is g in v(g) = 0?
-1, 1, 4
Let q = 149 + -83. Let i = -53 + q. Factor 16 - i*z + 60*z**2 + 27*z + 2*z**4 + 38*z + 28*z**3 + 2*z**4.
4*(z + 1)**3*(z + 4)
Suppose -17156 - 32542 = -99*w. Let a = w + -500. Factor -3/4*p**4 + 3/2*p**a + 0*p + 3/4*p**3 + 0.
-3*p**2*(p - 2)*(p + 1)/4
Suppose 54*v = -3*g + 49*v + 22, -66 = -5*g - v. Let q**2 - 17*q**3 + 75*q**2 - q**2 + g