32/3 = 0. Calculate d.
8
Suppose -7*t + 120 = 3*t. Let y**2 + 3*y**4 - 3*y**3 - t*y**3 + 20*y**3 + 4*y**3 - 9*y - 4*y**2 = 0. What is y?
-3, -1, 0, 1
Let g(q) = -8*q**3 + 3*q**2 - q - 3. Let v be g(-1). Find w such that -10*w**2 - 31*w - v*w + w**2 - 100 + 5*w**2 = 0.
-5
Let s(k) = 11*k**4 + 15*k**3 - 69*k**2 + 101*k - 38. Let q(x) = 3*x**4 + x + 1. Let u(f) = -4*q(f) + s(f). Factor u(i).
-(i - 7)*(i - 6)*(i - 1)**2
Let a(q) be the third derivative of 1/60*q**6 + 14 + 4*q**2 + 1/39*q**4 + 2/455*q**7 + 0*q + 0*q**3 + 2/65*q**5 + 1/2184*q**8. Factor a(p).
2*p*(p + 1)**2*(p + 2)**2/13
Let i(y) = 20*y**5 + 12*y**4 - 48*y**3 + 32*y**2. Let s(x) = -56*x**5 - 37*x**4 + 143*x**3 - 94*x**2. Let a(q) = 11*i(q) + 4*s(q). Factor a(u).
-4*u**2*(u - 1)**2*(u + 6)
Suppose 6*d**4 - 205*d**4 + 12152*d**2 - 106*d**4 + 71442*d + 45115*d**2 + 10035*d**3 - 58*d**4 + 3*d**5 = 0. What is d?
-3, -2, 0, 63
Let z(t) be the third derivative of t**5/180 + 107*t**4/12 + 640*t**3/9 + 55*t**2 + 5*t. Factor z(h).
(h + 2)*(h + 640)/3
Suppose -32*d + 438 = -35*d. Let f = 70 - d. Factor 226*j**3 - 4*j**5 - f*j**3 - j**5 - 5*j.
-5*j*(j - 1)**2*(j + 1)**2
Let n(h) = 108*h**3 + 48*h**2 - 292*h + 144. Let t(m) = -72*m**3 - 32*m**2 + 194*m - 95. Let p(x) = -5*n(x) - 8*t(x). Factor p(j).
4*(j - 1)*(j + 2)*(9*j - 5)
Find s such that 1/2*s**4 + 89*s**2 + 528/5*s + 144/5 + 127/10*s**3 = 0.
-12, -1, -2/5
Let l(s) = s**2 + 4*s + 1. Let p(t) = -4*t**2 + 270*t - 92. Let y(u) = -12*l(u) - p(u). Factor y(r).
-2*(r + 40)*(4*r - 1)
Find q such that -30*q**4 - 26*q**3 - 4546*q**2 - 99*q**3 + 5*q**5 + 4456*q**2 = 0.
-2, -1, 0, 9
Let r(g) be the first derivative of -58*g**5/15 - 86*g**4/9 + 182*g**3/27 + 172*g**2/9 - 8*g/9 + 4724. What is p in r(p) = 0?
-2, -1, 2/87, 1
Suppose 2/3*h**2 - 16 + 4/3*h = 0. Calculate h.
-6, 4
Let j be 34/(-612)*18*(0 - 0). Let -6/5*x - 2/15*x**2 + j = 0. What is x?
-9, 0
Let m = 511 + 64. Suppose 130*o - 47*o = 747. Factor -2*r**4 + o*r**3 + 6*r**2 - m*r + 5*r**4 + 575*r.
3*r**2*(r + 1)*(r + 2)
Let c(x) be the third derivative of -130*x**2 + 1/15*x**5 + 44/3*x**3 - 23/6*x**4 + 0 + 0*x. Factor c(w).
4*(w - 22)*(w - 1)
Let v = -5501 + 5506. Let r(g) be the first derivative of 3/8*g**2 - v + 1/4*g**3 + 1/16*g**4 + 1/4*g. Factor r(a).
(a + 1)**3/4
Let u = 203 + -201. Factor 3*l**2 + 18*l**5 - 49*l**3 + 120*l**4 - 104*l**3 - 31*l**3 + 61*l**u.
2*l**2*(l + 8)*(3*l - 2)**2
Suppose -2*m - 461 = -5*m + v, 0 = 3*v - 3. Let j = m + -154. Suppose -1/3*u**4 - 1/3*u + 1/3*u**3 + 1/3*u**2 + j = 0. What is u?
-1, 0, 1
Let d(o) be the third derivative of -1/18*o**4 + 1/90*o**6 + 0 + 0*o - 2/9*o**3 - 29*o**2 + 1/60*o**5 + 1/630*o**7. Solve d(c) = 0 for c.
-2, -1, 1
Let d be 2/4 + ((-19)/(-162))/(53/(-159)). Let z(h) be the first derivative of 2/9*h - 15 + 5/18*h**2 + d*h**3 + 1/36*h**4. Factor z(y).
(y + 1)**2*(y + 2)/9
Let o(h) be the third derivative of h**5/90 - 160*h**4/3 + 102400*h**3 - 2*h**2 - 246*h. Factor o(s).
2*(s - 960)**2/3
Let c(y) be the second derivative of -y**6/180 - y**5/10 - 5*y**4/12 - 7*y**3/9 - y**2 + 78*y. Let x(h) be the first derivative of c(h). Factor x(w).
-2*(w + 1)**2*(w + 7)/3
Suppose -40*o**3 + 648*o - 63*o**2 + 0 - 41/12*o**4 - 1/12*o**5 = 0. What is o?
-18, -8, 0, 3
Let f = -220 + 224. Let j(w) be the second derivative of -9/17*w**2 + 0 - 1/102*w**f - 16*w - 2/17*w**3. Factor j(k).
-2*(k + 3)**2/17
Let b(u) be the second derivative of u**4/4 - 11*u**3/2 - 270*u**2 + 1671*u. Find y, given that b(y) = 0.
-9, 20
Let r(v) = 6*v - 80. Let d be r(14). Let b be -9*d*10/(-80). Factor 27/2 + 27/2*z + b*z**2 + 1/2*z**3.
(z + 3)**3/2
Let t(x) be the second derivative of 7*x**5/4 - x**4/4 - 35*x**3/6 + 3*x**2/2 - 48*x + 10. Find w, given that t(w) = 0.
-1, 3/35, 1
Let q(x) = 4*x**2 + 2*x - 2. Let i be q(-2). Suppose 0 = j - 15 + 13. Factor -2 + 7*k - i*k + 3*k + j*k**2.
2*(k - 1)*(k + 1)
Let b(f) = -f**2 + 7524*f + 3671061. Let x(s) = -3776*s - 1835530. Let k(v) = -2*b(v) - 5*x(v). Factor k(m).
2*(m + 958)**2
Find n such that -n**2 + 51*n - n**4 + 21*n + 14*n**2 - 3*n**3 - 57*n = 0.
-5, -1, 0, 3
Let v = 116 + -113. Find p such that -v*p**2 - 24 - 5*p**2 - 13*p**2 - 90*p = 0.
-4, -2/7
Let i(z) = -38*z**3 + 174*z**2 - 411*z - 6. Let r = 718 + -712. Let x(v) = 111*v**3 - 523*v**2 + 1232*v + 17. Let w(k) = r*x(k) + 17*i(k). Factor w(f).
5*f*(2*f - 9)**2
Let y(j) be the third derivative of -j**7/2520 + j**6/144 + 5*j**4/8 + 2*j**2. Let c(a) be the second derivative of y(a). Find w, given that c(w) = 0.
0, 5
Let m(c) = -5*c**2 - c + 4. Let p(r) = 12*r**2 + 3*r - 9. Let v be (40/(-8))/5*(-4 + 0). Let d(s) = v*p(s) + 10*m(s). Factor d(f).
-2*(f - 2)*(f + 1)
Suppose 191*o - 1 = 585*o - 1. What is m in 0 + 3/7*m**5 + o*m + 6/7*m**2 - 9/7*m**3 + 0*m**4 = 0?
-2, 0, 1
Let q = -241 + 248. Let d(s) be the first derivative of 1/6*s**3 + s - q + 3/4*s**2. Factor d(v).
(v + 1)*(v + 2)/2
Let p = 33 + -18. Suppose 0 = -21*y + p*y + 24. Solve -4*a**4 + 8*a - y*a**3 - 8*a**4 - 4*a**5 + 5*a**2 + 7*a**2 = 0.
-2, -1, 0, 1
Let p(v) be the first derivative of 4*v**3/27 + 1696*v**2/3 + 719104*v + 5759. Solve p(q) = 0.
-1272
Let b = 916/15235 + 2/4155. Let a(m) be the first derivative of 0*m**2 + 0*m + b*m**3 - 3/22*m**4 + 6/55*m**5 - 25 - 1/33*m**6. Factor a(k).
-2*k**2*(k - 1)**3/11
Let d(j) = j**2 - 114*j + 3600. Let o(n) be the first derivative of 3*n**2/2 + 79. Let c(g) = -d(g) + 2*o(g). Suppose c(s) = 0. What is s?
60
Determine j, given that -64*j**2 + 0 + 0*j - 488/5*j**3 + 6/5*j**5 - 8/5*j**4 = 0.
-8, -2/3, 0, 10
Let t = -5223 + 62677/12. Let c(s) be the second derivative of 3*s + 0 + 1/40*s**5 + 0*s**2 + t*s**3 - 1/12*s**4. Determine n so that c(n) = 0.
0, 1
Let f(v) = v**3 - 3*v**2 - 14*v + 4. Let j be f(4). Let g be (12/10*(-162)/j)/1. Let -12/5 + 36/5*h + g*h**3 + 15*h**2 = 0. Calculate h.
-2, -1, 2/9
Let u(g) = g**4 + 2*g**3 + g**2 + 2*g. Let p(n) = 9*n**4 + 136*n**3 - 329*n**2 + 16*n + 452. Let v(l) = -p(l) + 10*u(l). Factor v(f).
(f - 113)*(f - 2)**2*(f + 1)
Factor -118*n - 294 - 266*n + 2*n**2 + 92*n.
2*(n - 147)*(n + 1)
Let b(k) be the first derivative of -k**9/33264 + 3*k**8/3080 + 19*k**7/9240 + 19*k**3 + 24. Let x(y) be the third derivative of b(y). Factor x(z).
-z**3*(z - 19)*(z + 1)/11
Let d(f) be the first derivative of -14/9*f**3 - 1/6*f**4 - 6*f - 5*f**2 - 11. Factor d(x).
-2*(x + 1)*(x + 3)**2/3
What is n in 276*n - 793*n + 23707*n**2 - 23703*n**2 - 207*n = 0?
0, 181
Determine b so that -16/3*b - 2/3*b**2 + 2/9*b**3 + 160/9 = 0.
-5, 4
Let n(a) be the first derivative of 7*a**5/15 + 11*a**4/12 - 2*a**3 - 876. Factor n(m).
m**2*(m - 1)*(7*m + 18)/3
Let q be (-7)/3 - 63640/(-27195). Let h(t) be the second derivative of 21*t + 0*t**6 - 4/21*t**4 + 3/35*t**5 - q*t**7 + 0*t**2 + 1/7*t**3 + 0. Factor h(j).
-2*j*(j - 1)**3*(j + 3)/7
Factor 9654/5*j + 7766643/5 + 3/5*j**2.
3*(j + 1609)**2/5
Let d be (-15)/(-40)*(7 - (5 + -12 + 6)). Let 1/2*w**2 + 3/2*w + 1/2 - w**4 - 3/2*w**d = 0. Calculate w.
-1, -1/2, 1
Let r be ((-64)/56)/((-2)/7). Suppose 2*u + f = -2*u + 40, 5*u + r*f = 50. What is p in 15*p**3 - 8 - u*p**3 - 9*p**3 + 12*p = 0?
-2, 1
Let p(l) = l**2 - 3*l + 4. Let h be p(3). Factor -2*y**4 - 17 + 7*y**h - 3 + 10*y**3 - 40*y - 15*y**2.
5*(y - 2)*(y + 1)**2*(y + 2)
Let r be (-638)/(-77) + -2 - 6. Factor -r*p**4 - 12/7*p**2 - 8/7*p**3 - 2/7 - 8/7*p.
-2*(p + 1)**4/7
Let q(v) = -10*v**3 - 15*v**2 + 45*v - 35. Suppose -5*t - 13*t + 54 = 0. Let a(r) = -5*r**3 - 8*r**2 + 22*r - 18. Let o(n) = t*q(n) - 5*a(n). Solve o(y) = 0.
-3, 1
Let 2/7*d**2 - 22/7*d - 60 = 0. Calculate d.
-10, 21
Let g be -2*(-1)/(-3) + (-476)/(-84). Suppose z - 7 = -f, z - 22 = g*f - 9*f. Suppose -4/5*x**z + 16/5*x + 0 = 0. Calculate x.
0, 4
Let o(b) = -141*b**4 - 66*b**3 - 228*b**2 + 930*b + 1089. Let a(y) = 23*y**4 + y**3 + y**2 - y. Let j(q) = -6*a(q) - o(q). Solve j(u) = 0 for u.
-11, -1, 3
Let a(g) be the first derivative of -63 + 0*g**2 + 0*g + 1/6*g**3 - 1/40*g**4. Solve a(h) = 0.
0, 5
Let j(c) be the first derivative of c**4/30 - c**3 + 44*c**2/5 - 123*c - 25. Let p(x) be the first derivative of j(x). Factor p(w).
2*(w - 11)*(w - 4)/5
Let w be (60/(-2250)*15)/(4/(-30)). Find a such that -8/13*a**2 + 8/13*a - 2/13*a**w + 2/13*a**4 + 0 = 0.
-2, 0, 1, 2
Let k(f) = -7*f. Let y(h) = -5*h**4 - 100*h**