72)/2
Suppose -h = -4*r + 116 - 32, 4 = r + 4*h. Determine m so that 83*m + 104*m + 30*m - 12*m**2 - 22*m - r - 28 = 0.
1/4, 16
Find c such that -19*c**2 + 52*c**2 - 12*c**2 + 335*c + 6220 - 16*c**2 - 2320 = 0.
-52, -15
Let o = -99 - -96. Let a be ((-26 + -4)/o - 2) + -3. Factor -a - 3*l - 5*l**3 + 6*l**2 + 8*l**3 - 1.
3*(l - 1)*(l + 1)*(l + 2)
Let z(y) = -4*y**2 + y - 1. Suppose -39 = -8*i - 47. Let s(r) = 21*r**2 + 66*r - 63. Let q(h) = i*s(h) - 6*z(h). Find p such that q(p) = 0.
1, 23
Let b(f) be the third derivative of -27/16*f**4 + 0*f + 0 + 106*f**2 + 5/2*f**3 - 9/80*f**6 + 5/8*f**5 + 1/140*f**7. Factor b(x).
3*(x - 5)*(x - 2)*(x - 1)**2/2
Let b(p) = -4*p + 9. Let a be b(0). Find m such that -60*m**2 - 437*m + a*m**3 + 10*m**3 - 5*m**4 + 31*m**3 + 77*m = 0.
-2, 0, 6
Let u(r) be the first derivative of 4*r**5/35 + r**4 - 544*r**3/21 + 256*r**2/7 + 2568. Let u(v) = 0. Calculate v.
-16, 0, 1, 8
Let p(l) be the third derivative of l**6/24 + 17*l**5/4 + 165*l**4/8 + 245*l**3/6 + 861*l**2. Factor p(a).
5*(a + 1)**2*(a + 49)
Let q(k) = -5*k**4 + 11*k**2 + 22*k + 160. Let b(m) = -6*m**4 + 11*m**2 + 23*m + 198. Let l(g) = -4*b(g) + 5*q(g). Solve l(x) = 0 for x.
-2, -1, 4
Let f(t) be the third derivative of 13/6*t**4 - 28/3*t**3 - t**2 + 1 + 0*t + 1/15*t**5. Determine y, given that f(y) = 0.
-14, 1
Let x(f) be the second derivative of -f**6/10 + 159*f**5/20 + 83*f**4/2 + 56*f**3 - 1662*f. Find u such that x(u) = 0.
-2, -1, 0, 56
Let a(k) be the second derivative of -k**4/84 - 458*k**3/21 - 104882*k**2/7 + 280*k. Factor a(s).
-(s + 458)**2/7
Let k = 1672/73215 - 1/1627. Let g(a) be the third derivative of -k*a**5 + 4/9*a**3 - 28*a**2 + 0*a + 0 - 1/18*a**4. Factor g(q).
-4*(q - 1)*(q + 2)/3
Suppose 0 = -331*z + 112*z. Let w(i) be the second derivative of 27*i + z - 1/90*i**6 + 0*i**3 + 0*i**4 - 1/30*i**5 + 0*i**2. Find y, given that w(y) = 0.
-2, 0
Let j be 220/176 + 230/(-232). Let x = j + 419/174. Factor 0*i**2 - 4/3*i**3 + x + 4*i.
-4*(i - 2)*(i + 1)**2/3
Suppose 578 + 717 = -37*q. Let h(u) = u**3 + 37*u**2 + 68*u - 65. Let a be h(q). Let 0 + 27/5*l**3 - 3/5*l**4 - 33/5*l**2 + 12/5*l - 3/5*l**a = 0. Calculate l.
-4, 0, 1
Suppose -2*r = -0*b + 2*b - 6, 5*b - 4*r = 51. Suppose b*h - 12 = 6*h. Factor 8 - 12 + 4*t**5 + 4*t**2 + 8*t**3 + 12*t**4 - h*t - 12*t**2.
4*(t - 1)*(t + 1)**4
Let i(n) be the third derivative of 4*n**6/75 - 796*n**5/3 + 19897*n**4/60 - 829*n**3/5 + 5747*n**2 + 2. Solve i(q) = 0 for q.
1/4, 2487
Let j(o) be the third derivative of -o**5/210 + o**4/84 + 8*o**3/3 - 15*o**2 - 92*o + 1. Factor j(r).
-2*(r - 8)*(r + 7)/7
Let u(j) = -53*j**2 - 1991*j - 1960. Let g(h) = -14*h**2 - 498*h - 490. Let l(r) = 11*g(r) - 3*u(r). Factor l(f).
5*(f + 1)*(f + 98)
Solve -7*u + 0*u - 293*u**4 + 20*u**2 + 297*u**4 - u - 16*u**3 = 0.
0, 1, 2
Let t(u) be the first derivative of -u**4/4 - 8*u**3 - 143*u**2/2 - 13636. Find r, given that t(r) = 0.
-13, -11, 0
Suppose 34/3*x + 0 - 1/3*x**2 = 0. Calculate x.
0, 34
Factor 0 - 205*n + 1/2*n**3 + 409/2*n**2.
n*(n - 1)*(n + 410)/2
Let i(x) = -4600*x + 124204. Let w be i(27). Factor 4/5*h**3 - 2/5*h**2 - 1/5*h**5 + 2/5 - 3/5*h + 0*h**w.
-(h - 1)**3*(h + 1)*(h + 2)/5
Let y be ((-3 + 6)/6)/(2/(-4)). Let o(l) = -l - 1. Let i(c) = 3*c**2 - 72*c + 513. Let h(s) = y*i(s) - 6*o(s). Determine k, given that h(k) = 0.
13
Let w = 259 + -258. Let z be -3*(4 + 91/(-14) + w). Factor -1/4*h**4 - 1/4*h**2 + z + 5/4*h**3 - 21/4*h.
-(h - 3)**2*(h - 1)*(h + 2)/4
Let p(w) = -7*w**3 - 1030*w**2 - 137291*w + 138333. Let f(s) = -s**3 + 4*s**2 - s - 1. Let j(t) = -5*f(t) + p(t). Suppose j(i) = 0. Calculate i.
-263, 1
Let n(c) be the first derivative of 2*c**6/3 - 4*c**5 + 3*c**4 + 20*c**3/3 - 8*c**2 + 1043. Factor n(d).
4*d*(d - 4)*(d - 1)**2*(d + 1)
Let t(r) be the second derivative of -r**7/1260 + r**6/180 + r**5/180 - r**4/12 + 17*r**3/2 - 56*r. Let g(j) be the second derivative of t(j). Factor g(v).
-2*(v - 3)*(v - 1)*(v + 1)/3
Solve 54*p**4 - 24*p**2 - 132 - 21*p**4 - 16*p**4 + p**4 - 22*p**4 - 48*p**3 + 208*p = 0.
-11, -3, 1
Let s(d) be the first derivative of -4*d**5/5 - 21*d**4/4 - 2*d**3/3 + 63*d**2/2 - 36*d + 448. Determine j, given that s(j) = 0.
-4, -3, 3/4, 1
Let j(o) be the first derivative of -127 - 722/3*o - 133*o**2 - 26/3*o**3 - 1/6*o**4. Factor j(u).
-2*(u + 1)*(u + 19)**2/3
Let j be 0 - -1 - ((-24)/300)/(11/275). Determine f so that 1/8*f**4 + 0 + 4*f**2 + 5/4*f**j + 4*f = 0.
-4, -2, 0
Let q be (-10 - -11)*(1 - 1). Suppose 4*m = 8 - q. Find f, given that -208*f**m - 2*f + f + 207*f**2 = 0.
-1, 0
Let o(h) be the second derivative of h**7/2520 - h**6/360 - h**5/36 + 20*h**3/3 - 12*h. Let g(p) be the second derivative of o(p). Factor g(y).
y*(y - 5)*(y + 2)/3
Let m be (22/(-253))/((-616)/1288). Find j such that -70/11*j**3 - 184/11*j + 4/11*j**4 + m*j**5 + 64/11 + 184/11*j**2 = 0.
-8, 1, 2
Let r be 8840/(-70) - 4/(-14). Let d be 17/1071*18 + 22/r. Factor d*m**4 + 4/9 + 5/3*m**2 - 13/9*m - 7/9*m**3.
(m - 4)*(m - 1)**3/9
Suppose 4*l + 44*v = 41*v - 136, 5*l - v = -189. Let y = -34 - l. Solve 0*s**3 + y*s**2 - 9/4*s**4 + 0*s - 3/4*s**5 + 0 = 0 for s.
-2, 0, 1
Let y(q) be the third derivative of -5/3*q**3 + 0 + 1/12*q**5 + 5/24*q**4 + 23*q + q**2. Factor y(m).
5*(m - 1)*(m + 2)
Let i(h) be the second derivative of h**7/1008 - 7*h**6/144 - 77*h**4/4 + 152*h. Let y(l) be the third derivative of i(l). Factor y(w).
5*w*(w - 14)/2
Let b be ((-10)/(-9))/((-1745)/(-2094)). Let h(f) be the first derivative of -12 + 25/9*f**3 + 10/3*f**2 + b*f. Determine o so that h(o) = 0.
-2/5
Let k(m) be the second derivative of 20 - 309/20*m**5 - 1/2*m**7 - 55/2*m**4 - 12*m**2 - 22/5*m**6 - 26*m**3 - m. Find q such that k(q) = 0.
-2, -1, -2/7
Find t such that -2/5*t**5 - 79297484/5*t**2 + 160708534/5*t - 2054/5*t**4 - 140356*t**3 - 80707214/5 = 0.
-343, 1
Let q be 7/(14/6) - -1. Suppose 999*p - 1112 = 443*p. Factor -2/3*z**3 + 22/3*z + q + 8/3*z**p.
-2*(z - 6)*(z + 1)**2/3
Let h(i) = -3*i**2 + 23*i - 174. Let n(w) = 10*w**2 - 67*w + 528. Let p(c) = 14*h(c) + 4*n(c). Determine g, given that p(g) = 0.
9, 18
Let i(w) be the second derivative of 0 + 18*w - 1/6*w**3 + 1/20*w**5 + 9/2*w**2 - 3/4*w**4. Factor i(p).
(p - 9)*(p - 1)*(p + 1)
Let j(r) be the third derivative of 2*r**2 - 1/120*r**6 + 0*r**4 + 0*r**3 + 0*r + 0*r**5 - 12. Factor j(q).
-q**3
Let s(a) be the second derivative of 2*a**6/105 - 96*a**5/35 + 1150*a**4/7 - 110000*a**3/21 + 93750*a**2 - 7*a + 883. Let s(m) = 0. What is m?
21, 25
Let -7/5*l**3 + 479/5*l - 12 - 412/5*l**2 = 0. Calculate l.
-60, 1/7, 1
Let i(o) be the second derivative of 14/3*o**3 - 89 + 44/3*o**2 - 3*o - 1/9*o**4. Factor i(p).
-4*(p - 22)*(p + 1)/3
What is l in -2/5*l**5 - 264074/5*l - 184/5*l**4 - 195112/5 - 5924/5*l**3 - 74704/5*l**2 = 0?
-29, -4, -1
Let r(z) = 12 + 0*z**3 + 4*z**3 + 28*z**2 - 40 + 36*z. Let j(h) = -h**3 - h. Let b(d) = -20*j(d) - r(d). Solve b(o) = 0.
-1, 1, 7/4
Let u(y) = 7*y**4 - 69*y**3 - 390*y**2 - 538*y. Let p(n) = 3*n**4 - 33*n**3 - 194*n**2 - 268*n. Let o(h) = 5*p(h) - 2*u(h). Factor o(i).
i*(i - 33)*(i + 2)*(i + 4)
Let x(d) = -d. Let g(r) = 4*r**5 + 24*r**4 + 56*r**3 + 64*r**2 + 26*r + 8. Suppose 4*t = 9*t + 165. Let z = t + 23. Let l(k) = z*x(k) + g(k). Solve l(n) = 0.
-2, -1
Let b(r) be the third derivative of r**5/12 - 9745*r**4/12 + 18993005*r**3/6 - 3*r**2 - 696. Find u such that b(u) = 0.
1949
Let h = -358465 - -1433861/4. Factor 0 + 1/4*l + h*l**2.
l*(l + 1)/4
Factor 712*q + 51*q**3 + 20*q**3 + 45*q**4 + q**5 - 46*q + 0*q**5 + 795*q**2 + 246*q**3.
q*(q + 2)*(q + 3)**2*(q + 37)
Let h(b) = -b**2 - 28 - 12*b + 2 - 55. Let x(u) = -3*u**2 - 37*u - 243. Suppose 0 = -g + 3 + 3. Let m(o) = g*x(o) - 17*h(o). Factor m(f).
-(f + 9)**2
Let z(h) = -2*h**4 + h**3 + 2*h**2 - 2*h. Let s(a) = 10*a**4 - 13*a**3 - 582*a**2 - 574*a - 140. Let x(q) = s(q) - 3*z(q). Factor x(p).
4*(p - 7)*(p + 5)*(2*p + 1)**2
Let q(i) be the second derivative of 1/2*i**4 + 0*i**2 - 15*i - 4/3*i**3 + 1. What is a in q(a) = 0?
0, 4/3
Let s(c) be the third derivative of -c**8/2352 - c**7/49 - 67*c**6/420 - 58*c**5/105 - 59*c**4/56 - 25*c**3/21 + 2*c**2 - 380*c + 3. Find h such that s(h) = 0.
-25, -2, -1
Factor 504/5*p - 864/5 - 6/5*p**3 - 24/5*p**2.
-6*(p - 6)*(p - 2)*(p + 12)/5
Let 56/3*m - 11/6*m**4 + 10 - 1/6*m**5 