(50*r + 1)
Let p be (2019 - 2004) + (-2)/(6/39). What is c in 4/3*c**p - 2/3*c - 2/3*c**3 + 0 = 0?
0, 1
Let z(p) = -2*p**2 + 14 + 38 + 63 + 2*p**2 + 23*p + p**2. Let l be z(-7). Find u such that 0*u + 8/15*u**2 + 2/15*u**4 + 0 - 2/3*u**l = 0.
0, 1, 4
Suppose 4*r = -2*y + 20, -4*y = r - 7 - 5. Factor -30*h**2 - 289*h**2 + 11560 + 42*h**y - 53*h**2 - 5*h**3 - 5100*h.
-5*(h - 2)*(h + 34)**2
Let m(x) be the first derivative of 10*x**2 - 4/3*x**3 - 105 - 24*x. Determine c, given that m(c) = 0.
2, 3
Suppose -4/3*g**2 + 112 + 68/3*g = 0. What is g?
-4, 21
Let q be 17/4 + (-117)/195 + (-7)/(-20). Let f(x) be the first derivative of 8 + 2/21*x**3 + 1/28*x**q + 0*x - 1/35*x**5 + 0*x**2. Factor f(p).
-p**2*(p - 2)*(p + 1)/7
Let j(q) = q**2 + 44*q + 137. Let p be j(-41). Suppose p*g = -44*g. Factor -2/11*m**3 + g + 6/11*m**2 - 4/11*m.
-2*m*(m - 2)*(m - 1)/11
Let z(c) be the first derivative of 0*c + 7/2*c**2 - 199 - 1/3*c**3. Factor z(n).
-n*(n - 7)
Let h(w) = -w**2 - w - 1. Let k = 433 + -434. Let y(i) = 2*i + 1. Let d(x) = k*y(x) - h(x). Find c such that d(c) = 0.
0, 1
Let q = -7871/6 - -1312. Let f(y) be the first derivative of 0*y + q*y**4 - 2/27*y**3 + 2/45*y**5 + 13 - 1/3*y**2. Let f(d) = 0. What is d?
-3, -1, 0, 1
Let v(t) be the third derivative of t**6/72 + t**5/6 - 35*t**4/72 - 50*t**3/3 - 1471*t**2. Find j such that v(j) = 0.
-5, -4, 3
Let g = -58 - -73. Suppose 2*j - g - 37 = 0. Factor -7*q**5 - 8*q**5 - 4*q**2 + 5*q + 5 - j*q**2 - 70*q**3 - 49*q**4 - 6*q**4.
-5*(q + 1)**4*(3*q - 1)
Let g(k) be the third derivative of -125/6*k**3 + 28*k**2 - 1/12*k**5 + 0 + 0*k - 25/12*k**4. Let g(l) = 0. What is l?
-5
Let s = -34 - -56. Let o(q) = 21*q + 5 + 8*q**2 - 9*q + 6*q - s. Let p(a) = 3*a**2 + 6*a - 6. Let j(v) = -6*o(v) + 17*p(v). Factor j(g).
3*g*(g - 2)
Let v(p) be the first derivative of 0*p**2 + p + 1/16*p**4 - 1/4*p**3 + 125. What is s in v(s) = 0?
-1, 2
Let d(k) = k**2 + 2*k. Suppose -s = -8*s + 42. Let j(z) = -3*z**2 - 108*z + 768. Let v(c) = s*d(c) + j(c). Find i such that v(i) = 0.
16
Let t(o) = -o**4 + 40*o**3 + 159*o**2 + 22*o - 216. Let k(w) = -2*w**4 + 160*w**3 + 633*w**2 + 89*w - 862. Let i(g) = 2*k(g) - 9*t(g). Factor i(a).
5*(a - 11)*(a - 1)*(a + 2)**2
Let f(q) be the first derivative of -35*q**3/3 + 895*q**2/2 - 500*q + 15. Suppose f(p) = 0. Calculate p.
4/7, 25
Let s(f) = 5 - 7*f**2 - 3*f - f**2 + 2*f**2 + 4*f**2. Let y(u) = -u + 1. Let q(i) = 2*s(i) + 14*y(i). Factor q(h).
-4*(h - 1)*(h + 6)
Let f(d) be the second derivative of d**5/60 + 29*d**4/36 + 82*d**3/9 + 110*d**2/3 - 2645*d. Let f(a) = 0. What is a?
-22, -5, -2
Suppose 2*f = -0 + 6, b = -5*f + 25. Suppose b = -98*k + 103*k. Factor 0*i + 4/3*i**k - 2/3*i**3 - 2/3*i**4 + 0.
-2*i**2*(i - 1)*(i + 2)/3
Let m(n) = -29*n**4 + 15*n**3 - 19*n**2 + 7. Let s(f) = -4*f**4 + f**3 - f**2 + 1. Let j(a) = -5*m(a) + 35*s(a). Factor j(v).
5*v**2*(v - 6)*(v - 2)
Let d(b) be the third derivative of 0 + 1/15*b**6 - 1/630*b**7 - b**2 + 73*b - 22/45*b**5 - 28/3*b**4 - 392/9*b**3. Factor d(m).
-(m - 14)**2*(m + 2)**2/3
Suppose 38 = -4*w + 2*b + 3*b, -5*b = -2*w - 24. Let m(c) = -31*c - 217. Let o be m(w). Suppose o - 1/10*u**2 - 1/5*u = 0. What is u?
-2, 0
Suppose 22*h + 51 - 227 = 0. Let u be (53/106)/(6/h). Determine s so that u*s**3 + 0 + 4/3*s + 2*s**2 = 0.
-2, -1, 0
Let y(r) = 36*r**2 - 58*r + 6. Let k(h) = 12*h**2 - 19*h + 2. Let q be (4 - 4)*6/(-12). Suppose q = 22*i - 26*i - 20. Let p(w) = i*y(w) + 16*k(w). Factor p(n).
2*(n - 1)*(6*n - 1)
Factor -1/3*r**4 - 43/3*r**3 - 53*r**2 - 39*r + 0.
-r*(r + 1)*(r + 3)*(r + 39)/3
Let c = 2191/2 - 21909/20. Let j(v) be the third derivative of 1/2*v**4 + 0 - 2*v**3 - c*v**5 - 11*v**2 + 0*v. Let j(q) = 0. What is q?
2
Factor -769/5*n**2 - 771/5 + 1/5*n**3 - 1541/5*n.
(n - 771)*(n + 1)**2/5
Factor 729/5*n**2 - 294*n + 0 + 3/5*n**3.
3*n*(n - 2)*(n + 245)/5
Let a(k) be the third derivative of k**5/150 + 124*k**4/15 + 61504*k**3/15 - 200*k**2. Find h such that a(h) = 0.
-248
Factor -21*r - 13*r**3 + 11*r**4 - 15*r - 42*r**2 - 37*r**4 - 3*r**3 + 24*r**4.
-2*r*(r + 2)*(r + 3)**2
Suppose -3751*s + 12585 = 1332. What is v in 3/4*v**2 + s - 15/4*v = 0?
1, 4
Let 459997 + 120*o**2 + 37*o**5 - 459997 - 76*o**3 - 33*o**5 = 0. Calculate o.
-5, 0, 2, 3
Suppose -i = -4*s + 4*i - 25, 3*i = 4*s + 15. Let g be (0/4)/(-7 + s). Find j, given that -3/5*j**2 + 0*j + g = 0.
0
Let i = -100 - -52. Let w be (-2 + 6 - i)*1/4. Determine u so that 7 - w - 7*u + 3*u**2 + 8 = 0.
1/3, 2
Let s(q) = q**3 + 5*q**2 + 505*q + 501. Let b be s(-1). Find c such that -1/4*c + b*c**2 + 1/4*c**3 + 0 = 0.
-1, 0, 1
Suppose 28*b + 5*b + 17*b = 100. Let k(p) be the first derivative of 1/6*p**3 + 5/2*p - 3/2*p**b - 24. Factor k(i).
(i - 5)*(i - 1)/2
Let x = 4674 + -4670. Let i(r) be the third derivative of -1/80*r**5 + 0*r**x - 4*r**2 - 1/40*r**6 - 3/280*r**7 + 0 + 0*r + 0*r**3. Factor i(n).
-3*n**2*(n + 1)*(3*n + 1)/4
Let u = -226 - -228. Let 15*w**3 + 12*w**3 - 436*w**2 - 2*w**3 - 5*w**4 + 406*w**u = 0. Calculate w.
0, 2, 3
Let g(d) be the first derivative of d**6/600 - 4*d**5/75 + d**4/8 - 41*d**2 + 65. Let v(n) be the second derivative of g(n). Suppose v(y) = 0. What is y?
0, 1, 15
Let a(i) be the first derivative of 2*i**3/9 - 33*i**2 - 1484*i/3 - 1356. Find g, given that a(g) = 0.
-7, 106
Let o(j) be the third derivative of 0*j + 38/25*j**5 - 339*j**2 + 1444/5*j**4 + 0 + 1/300*j**6 + 438976/15*j**3. Factor o(l).
2*(l + 76)**3/5
Suppose -740*n + 1000 + 15*n**2 - 5*n**3 + 95*n**2 + 40*n = 0. What is n?
2, 10
Let v(f) = 6*f**4 - 12*f**3 - 15*f**2 + 45*f - 33. Let b(d) = 5*d**4 - 12*d**3 - 11*d**2 + 46*d - 34. Let r(u) = -3*b(u) + 2*v(u). Let r(o) = 0. Calculate o.
-2, 1, 2, 3
Let a = 3770367/7 + -538623. Factor a*f**2 + 0*f**3 - 2/7*f**4 + 4/7*f + 0.
-2*f*(f - 2)*(f + 1)**2/7
Factor 6615675 - 2970*g + 1/3*g**2.
(g - 4455)**2/3
Let t(n) be the second derivative of 0*n**3 + 7/12*n**4 - 2*n**2 - 1/10*n**6 + 0 - 1/20*n**5 + n + 1/42*n**7. Solve t(k) = 0.
-1, 1, 2
Let k(u) be the third derivative of u**8/294 - 1786*u**7/735 + 50396*u**6/105 - 248197*u**5/105 + 32930*u**4/7 - 32856*u**3/7 - 2*u**2 + 341*u. Solve k(c) = 0.
1/2, 1, 222
Let l(m) be the second derivative of -m**5/100 - 13*m**4/30 + 2*m + 147. Factor l(r).
-r**2*(r + 26)/5
Let b(x) be the third derivative of x**6/120 + 13*x**5/15 + 725*x**4/24 + 625*x**3/3 + 45*x**2 + 1. Factor b(u).
(u + 2)*(u + 25)**2
Let t(n) be the third derivative of -n**8/504 - n**7/63 + n**6/60 + 13*n**5/90 - 5*n**4/18 - 1574*n**2. What is q in t(q) = 0?
-5, -2, 0, 1
Let i(k) be the second derivative of 4*k**7/77 - 73*k**6/165 + 27*k**5/55 + 34*k**4/33 - 2*k**3 + 5*k**2/11 - 97*k + 10. Suppose i(h) = 0. Calculate h.
-1, 1/12, 1, 5
Let j = 849 + -1217. Let t = 370 + j. Factor 1/5*v**t + 0 - 1/5*v.
v*(v - 1)/5
Let r(w) = -4*w**2 + 32*w - 4. Let p(o) = -6*o**2 - o + 1. Let t(z) = p(z) + r(z). Factor t(k).
-(k - 3)*(10*k - 1)
Let x(b) be the third derivative of b**6/40 + 37*b**5/2 - 743*b**4/8 + 186*b**3 - 2*b**2 - 1316*b - 2. Find z such that x(z) = 0.
-372, 1
Let p = -29 + 45. Suppose 4*h - 4*b = p, -10*b + 4 = -3*h - 15*b. Factor -8*x + 95*x**h - 189*x**2 - 12 + 98*x**2.
4*(x - 3)*(x + 1)
Let 8 - 2*b + 5/4*b**4 + 1/4*b**5 - 7*b**2 - 1/2*b**3 = 0. What is b?
-4, -2, 1, 2
Find o, given that -16/5*o**4 + 26/5*o**3 + 2/5*o**5 - 128/5*o + 64/5 + 52/5*o**2 = 0.
-2, 1, 4
Factor -31/4 + 1/8*k**3 - 7/2*k**2 - 91/8*k.
(k - 31)*(k + 1)*(k + 2)/8
Let x = -87 - -90. What is j in -3*j**2 + 8*j**2 + 37*j**x + 10*j**2 + 3*j**4 + 6*j - 25*j**3 = 0?
-2, -1, 0
Let a be (-65)/((-650)/(-140)) + ((-46)/(-3) - 0). Determine t so that -t + 1/6*t**2 + a = 0.
2, 4
Let h = 41589/28600 + 1/2600. Let n = -69/55 + h. Factor -1/5*w**2 - 1/5*w + n*w**4 + 0 + 1/5*w**3.
w*(w - 1)*(w + 1)**2/5
Let f = 237940 - 474797/2. Solve -3/2*k**2 - f - 57*k = 0.
-19
Factor 21*u**3 + 1080*u**2 - 90841*u - 24*u**3 - 6359*u.
-3*u*(u - 180)**2
Suppose 48/7*u**2 + 2200/7 - 4/7*u**3 + 780/7*u = 0. What is u?
-5, 22
What is h in 171/4*h**3 - 171*h + 3/4*h**4 - 93/2*h**2 + 174 = 0?
-58, -2, 1, 2
Let u(j) = -j**3 + j**2 + 1. Let x(b) = -2*b + 474 + 3*b - 478 - 6*b**3 + 14*b**2. Let k(m) = -10*u(m) + 2*x(m). What is i in k(i) = 0?
-1, 1, 9
Let m(u) be the third derivative of -u**6/660 + 7*u**5/330 - u**4/12 + 5*u**3/33 